TSTP Solution File: SWW315+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW315+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 : n017.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 14:40:19 EDT 2024
% Result : Theorem 12.28s 12.44s
% Output : Proof 12.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW315+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n017.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 01:09:27 EDT 2024
% 0.13/0.34 % CPUTime :
% 12.28/12.44 % SZS status Theorem for theBenchmark
% 12.28/12.44 % SZS output start Proof for theBenchmark
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ext ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_asm ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool)), _u4), _u5)) | c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u5, _u4) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_weaken ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u6, _u7, _u8) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u6), tc_HOL_Obool)), _u9), _u8)) | c_Hoare__Mirabelle_Ohoare__derivs(_u6, _u7, _u9) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_cut ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, _u12) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u13, _u11) | c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u13, _u12) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14, tc_HOL_Obool)), _u15), _u16)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14, tc_HOL_Obool)), _u16), _u15)) | ( _u15 = _u16) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u17) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17), _u18), _u18)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u21) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u22, _u21)), _u23), _u24)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u21), hAPP(_u23, _u19)), hAPP(_u24, _u19))) )).
% 12.28/12.44 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u21) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u21), hAPP(_u23, skolem2(_u24, _u23, _u22, _u21))), hAPP(_u24, skolem2(_u24, _u23, _u22, _u21)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u22, _u21)), _u23), _u24)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u25) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u26, _u25)), _u27), _u28)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u25), hAPP(_u27, _u29)), hAPP(_u28, _u29))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u30) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u31, _u30)), _u32), _u33)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u30), hAPP(_u32, _u34)), hAPP(_u33, _u34))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u35, tc_HOL_Obool)), _u36), _u36)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_set__eq__subset-1, axiom, ( ( _u40 != _u42) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u44, tc_HOL_Obool)), _u40), _u42)) )).
% 12.28/12.44 cnf(fact_set__eq__subset-2, axiom, ( ( _u40 != _u42) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u44, tc_HOL_Obool)), _u42), _u40)) )).
% 12.28/12.44 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u45, tc_HOL_Obool)), _u41), _u43)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u45, tc_HOL_Obool)), _u43), _u41)) | ( _u41 = _u43) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u46, _u47)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u46), _u49)) | hBOOL(hAPP(_u49, _u47)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equalityD1-1, axiom, ( ( _u50 != _u51) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u52, tc_HOL_Obool)), _u50), _u51)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equalityD2-1, axiom, ( ( _u53 != _u54) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u55, tc_HOL_Obool)), _u54), _u53)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u57, _u59)) | hBOOL(hAPP(_u58, _u59)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u56, tc_HOL_Obool)), _u57), _u58)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u60, tc_HOL_Obool)), _u61), _u62)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u60, tc_HOL_Obool)), _u62), _u63)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u60, tc_HOL_Obool)), _u61), _u63)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u64) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u64), _u65), _u66)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u64), _u66), _u65)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u67) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u67), _u68), _u69)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u67), _u70), _u68)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u67), _u70), _u69)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u71) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u71), _u72), _u73)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u71), _u73), _u72)) | ( _u73 = _u72) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u74) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u74), _u75), _u76)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u74), _u76), _u77)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u74), _u75), _u77)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u78) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u78), _u79), _u80)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u78), _u80), _u79)) | ( _u79 = _u80) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u81) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u81), _u82), _u83)) | ( _u82 != _u84) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u81), _u84), _u83)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u85) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u85), _u86), _u87)) | ( _u87 != _u88) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u85), _u86), _u88)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u89) | ( _u90 != _u91) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u89), _u92), _u91)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u89), _u92), _u90)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u93) | ( _u94 != _u95) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u95), _u96)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u94), _u96)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u97) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u98), _u99)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u99), _u98)) | ( _u99 = _u98) )).
% 12.28/12.44 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u97) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u98), _u99)) | ( _u99 != _u98) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u99), _u98)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u100) | ( _u101 != _u102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u100), _u101), _u102)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u103) | ( _u104 != _u105) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u105)) )).
% 12.28/12.44 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u103) | ( _u104 != _u105) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u105), _u104)) )).
% 12.28/12.44 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u105), _u104)) | ( _u104 = _u105) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u106) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u107), _u108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u108), _u107)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equalityE-1, axiom, ( ( _u109 != _u110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u111, tc_HOL_Obool)), _u109), _u110)) )).
% 12.28/12.44 cnf(fact_equalityE-2, axiom, ( ( _u109 != _u110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u111, tc_HOL_Obool)), _u110), _u109)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u112, tc_HOL_Obool)), _u113), _u114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u112, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u112, _u113)), c_Predicate_OPowp(_u112, _u114))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u115) | ~class_Enum_Oenum(_u116) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u116, _u115)), _u117), _u118)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u116), hAPP(hAPP(c_COMBS(_u116, _u115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u115, tc_fun(_u115, tc_HOL_Obool), _u116), c_Orderings_Oord__class_Oless__eq(_u115)), _u117)), _u118))) )).
% 12.28/12.44 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u115) | ~class_Enum_Oenum(_u116) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u116), hAPP(hAPP(c_COMBS(_u116, _u115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u115, tc_fun(_u115, tc_HOL_Obool), _u116), c_Orderings_Oord__class_Oless__eq(_u115)), _u117)), _u118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u116, _u115)), _u117), _u118)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Least__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Least__le-1, axiom, ( ~class_Orderings_Owellorder(_u119) | ~hBOOL(hAPP(_u120, _u121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u119), c_Orderings_Oord__class_OLeast(_u119, _u120)), _u121)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__funI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__funI-1, axiom, ( ~class_Orderings_Oord(_u123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u123), hAPP(_u124, skolem3(_u126, _u125, _u124, _u123))), hAPP(_u125, skolem3(_u126, _u125, _u124, _u123)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u126, _u123)), _u124), _u125)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inv__imagep__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inv__imagep__def-1, axiom, ( hBOOL(hAPP(hAPP(_u137, hAPP(_u139, _u141)), hAPP(_u139, _u143))) | ~c_Predicate_Oinv__imagep(_u133, _u135, _u137, _u139, _u141, _u143) )).
% 12.28/12.44 cnf(fact_inv__imagep__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u138, hAPP(_u140, _u142)), hAPP(_u140, _u144))) | c_Predicate_Oinv__imagep(_u134, _u136, _u138, _u140, _u142, _u144) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_strict__mono__less__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_strict__mono__less__eq-1, axiom, ( ~class_Orderings_Oorder(_u145) | ~class_Orderings_Olinorder(_u146) | ~c_Orderings_Oorder__class_Ostrict__mono(_u146, _u145, _u147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u145), hAPP(_u147, _u148)), hAPP(_u147, _u149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u146), _u148), _u149)) )).
% 12.28/12.44 cnf(fact_strict__mono__less__eq-2, axiom, ( ~class_Orderings_Oorder(_u145) | ~class_Orderings_Olinorder(_u146) | ~c_Orderings_Oorder__class_Ostrict__mono(_u146, _u145, _u147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u146), _u148), _u149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u145), hAPP(_u147, _u148)), hAPP(_u147, _u149))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u150, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u151)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u152))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u150), _u152), _u151)) )).
% 12.28/12.44 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u150), _u152), _u151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u150, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u151)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u152))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u153, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u154)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u155))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u153), _u154), _u155)) )).
% 12.28/12.44 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u153), _u154), _u155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u153, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u154)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u155))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u156, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u157)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u156), _u158), _u157)) )).
% 12.28/12.44 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u156), _u158), _u157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u156, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u157)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u158))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u160)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u161))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u159), _u160), _u161)) )).
% 12.28/12.44 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u159), _u160), _u161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u160)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u161))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u163, tc_HOL_Obool)), _u164), _u165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u162), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u163, _u162), _u164), _u166)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u163, _u162), _u165), _u166))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u168, tc_HOL_Obool)), _u169), _u170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u167), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u168, _u167), _u170), _u171)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u168, _u167), _u169), _u171))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u172) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u173, tc_fun(_u174, _u172)), _u175), _u176), _u177) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u173, _u172), _u175), hAPP(hAPP(c_COMBC(_u173, _u174, _u172), _u176), _u177))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u178) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u179, tc_fun(_u180, _u178)), _u181), _u182), _u183) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u179, _u178), _u181), hAPP(hAPP(c_COMBC(_u179, _u180, _u178), _u182), _u183))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u184) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u185) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u186)) | ( _u185 = _u186) )).
% 12.28/12.44 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u184) | ( _u185 != _u186) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u185) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u186)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u187) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u188) != hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u189)) | ( _u188 = _u189) )).
% 12.28/12.44 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u187) | ( _u188 != _u189) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u188) = hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u189)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u190) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u191) != hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u192)) | ( _u191 = _u192) )).
% 12.28/12.44 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u190) | ( _u191 != _u192) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u191) = hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u192)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u193) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u194) != hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u195)) | ( _u194 = _u195) )).
% 12.28/12.44 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u193) | ( _u194 != _u195) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u194) = hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u195)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u196) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u197, _u196), _u198), hAPP(hAPP(c_COMBB(tc_fun(_u199, _u196), _u196, _u197), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u199, _u196), _u200)), _u201)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u199, _u196), _u200), hAPP(hAPP(c_COMBB(tc_fun(_u197, _u196), _u196, _u199), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u197, _u196), _u198)), hAPP(c_COMBC(_u197, _u199, _u196), _u201)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u202) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u203, _u202), _u204), hAPP(hAPP(c_COMBB(tc_fun(_u205, _u202), _u202, _u203), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u205, _u202), _u206)), _u207)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u205, _u202), _u206), hAPP(hAPP(c_COMBB(tc_fun(_u203, _u202), _u202, _u205), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u203, _u202), _u204)), hAPP(c_COMBC(_u203, _u205, _u202), _u207)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_all__code ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u210) | ~hBOOL(hAPP(_u211, skolem4(_u211, _u210))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u210), _u211)) )).
% 12.28/12.44 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u210) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u210), _u211)) | hBOOL(hAPP(_u211, _u209)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u214) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u214), _u215)) | hBOOL(hAPP(_u215, _u212)) )).
% 12.28/12.44 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u214) | ~hBOOL(hAPP(_u215, skolem5(_u215, _u214))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u214), _u215)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_LeastI__ex ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_LeastI__ex-1, axiom, ( ~class_Orderings_Owellorder(_u217) | ~hBOOL(hAPP(_u218, _u216)) | hBOOL(hAPP(_u218, c_Orderings_Oord__class_OLeast(_u217, _u218))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_strict__mono__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_strict__mono__eq-1, axiom, ( ~class_Orderings_Oorder(_u219) | ~class_Orderings_Olinorder(_u220) | ~c_Orderings_Oorder__class_Ostrict__mono(_u220, _u219, _u221) | ( hAPP(_u221, _u222) != hAPP(_u221, _u223)) | ( _u222 = _u223) )).
% 12.28/12.44 cnf(fact_strict__mono__eq-2, axiom, ( ~class_Orderings_Oorder(_u219) | ~class_Orderings_Olinorder(_u220) | ~c_Orderings_Oorder__class_Ostrict__mono(_u220, _u219, _u221) | ( _u222 != _u223) | ( hAPP(_u221, _u222) = hAPP(_u221, _u223)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u231, tc_HOL_Obool)), _u233), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u235, tc_fun(_u231, tc_HOL_Obool)), _u237), _u239))) | ~hBOOL(hAPP(hAPP(c_member(_u235), _u224), _u237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u231, tc_HOL_Obool)), _u233), hAPP(_u239, _u224))) )).
% 12.28/12.44 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u232, tc_HOL_Obool)), _u234), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u236, tc_fun(_u232, tc_HOL_Obool)), _u238), _u240))) | hBOOL(hAPP(hAPP(c_member(_u236), skolem6(_u240, _u238, _u236, _u234, _u232)), _u238)) )).
% 12.28/12.44 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u232, tc_HOL_Obool)), _u234), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u236, tc_fun(_u232, tc_HOL_Obool)), _u238), _u240))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u232, tc_HOL_Obool)), _u234), hAPP(_u240, skolem6(_u240, _u238, _u236, _u234, _u232)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u248, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u250, tc_fun(_u248, tc_HOL_Obool)), _u252), _u254)), _u256)) | ~hBOOL(hAPP(hAPP(c_member(_u250), _u241), _u252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u248, tc_HOL_Obool)), hAPP(_u254, _u241)), _u256)) )).
% 12.28/12.44 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u249, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u251, tc_fun(_u249, tc_HOL_Obool)), _u253), _u255)), _u257)) | hBOOL(hAPP(hAPP(c_member(_u251), skolem7(_u257, _u255, _u253, _u251, _u249)), _u253)) )).
% 12.28/12.44 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u249, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u251, tc_fun(_u249, tc_HOL_Obool)), _u253), _u255)), _u257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u249, tc_HOL_Obool)), hAPP(_u255, skolem7(_u257, _u255, _u253, _u251, _u249))), _u257)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_LeastI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_LeastI-1, axiom, ( ~class_Orderings_Owellorder(_u258) | ~hBOOL(hAPP(_u259, _u260)) | hBOOL(hAPP(_u259, c_Orderings_Oord__class_OLeast(_u258, _u259))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u265, _u263), _u266), _u267))) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u261), _u266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(_u267, _u261))) )).
% 12.28/12.44 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u263) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u265, _u263), _u266), _u267))) | hBOOL(hAPP(hAPP(c_member(_u265), skolem8(_u267, _u266, _u265, _u264, _u263)), _u266)) )).
% 12.28/12.44 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u263) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u265, _u263), _u266), _u267))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(_u267, skolem8(_u267, _u266, _u265, _u264, _u263)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u271, _u270), _u272), _u273)), _u274)) | ~hBOOL(hAPP(hAPP(c_member(_u271), _u268), _u272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(_u273, _u268)), _u274)) )).
% 12.28/12.44 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u270) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u271, _u270), _u272), _u273)), _u274)) | hBOOL(hAPP(hAPP(c_member(_u271), skolem9(_u274, _u273, _u272, _u271, _u270)), _u272)) )).
% 12.28/12.44 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u270) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u271, _u270), _u272), _u273)), _u274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(_u273, skolem9(_u274, _u273, _u272, _u271, _u270))), _u274)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_in__inv__imagep ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_in__inv__imagep-1, axiom, ( hBOOL(hAPP(hAPP(_u285, hAPP(_u287, _u289)), hAPP(_u287, _u291))) | ~c_Predicate_Oinv__imagep(_u281, _u283, _u285, _u287, _u289, _u291) )).
% 12.28/12.44 cnf(fact_in__inv__imagep-2, axiom, ( ~hBOOL(hAPP(hAPP(_u286, hAPP(_u288, _u290)), hAPP(_u288, _u292))) | c_Predicate_Oinv__imagep(_u282, _u284, _u286, _u288, _u290, _u292) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Least__equality ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Least__equality-1, axiom, ( ~class_Orderings_Oorder(_u294) | ~hBOOL(hAPP(_u295, _u296)) | ( c_Orderings_Oord__class_OLeast(_u294, _u295) = _u296) | hBOOL(hAPP(_u295, skolem10(_u296, _u295, _u294))) )).
% 12.28/12.44 cnf(fact_Least__equality-2, axiom, ( ~class_Orderings_Oorder(_u294) | ~hBOOL(hAPP(_u295, _u296)) | ( c_Orderings_Oord__class_OLeast(_u294, _u295) = _u296) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u294), _u296), skolem10(_u296, _u295, _u294))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u297, tc_HOL_Obool)), _u298), _u299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u297, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u297), _u298)), hAPP(c_Set_OPow(_u297), _u299))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u300, tc_HOL_Obool), tc_HOL_Obool)), _u301), _u302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u300, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u300, tc_HOL_Obool), _u302)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u300, tc_HOL_Obool), _u301))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u303) | ~hBOOL(hAPP(hAPP(c_member(_u304), _u305), _u306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u303), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u304, _u303), _u306), _u307)), hAPP(_u307, _u305))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u308) | ~hBOOL(hAPP(hAPP(c_member(_u309), _u310), _u311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u308), hAPP(_u312, _u310)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u309, _u308), _u311), _u312))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u314), _u315)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u316), _u317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u316), _u314)) )).
% 12.28/12.44 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u314), _u315)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u316), _u317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u317)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u318) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u318, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u318), _u319)) = hAPP(c_SetInterval_Oord__class_OatMost(_u318), _u319)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u320) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u320, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u320), _u321)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u320), _u321)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u323), _u324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u325), _u323)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u323), _u324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u324), _u326)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u323), _u324)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u325), _u323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u324), _u326)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u327) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u327, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u327), _u328)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u327), _u328)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u329) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u329, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u329), _u330)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u329), _u330)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u331, tc_HOL_Obool), tc_HOL_Obool)), _u332), _u333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u331, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u331, tc_HOL_Obool), _u332)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u331, tc_HOL_Obool), _u333))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equalityCE-1, axiom, ( ( _u334 != _u335) | hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u334)) | ~hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u335)) )).
% 12.28/12.44 cnf(fact_equalityCE-2, axiom, ( ( _u334 != _u335) | hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u335)) | ~hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u334)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u338, tc_fun(_u339, tc_fun(_u340, tc_HOL_Obool))), _u341), _u342), _u343), _u344)) | hBOOL(hAPP(hAPP(hAPP(_u342, _u345), _u343), _u344)) | ~hBOOL(hAPP(hAPP(c_member(_u338), _u345), _u341)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u346, tc_fun(_u347, tc_fun(_u348, tc_HOL_Obool))), _u349), _u350), _u351), _u352)) | ~hBOOL(hAPP(hAPP(c_member(_u346), _u353), _u349)) | hBOOL(hAPP(hAPP(hAPP(_u350, _u353), _u351), _u352)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u354), _u355), _u356)) | ~hBOOL(hAPP(hAPP(hAPP(_u357, _u355), _u358), _u359)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u354, tc_fun(_u360, tc_fun(_u361, tc_HOL_Obool))), _u356), _u357), _u358), _u359)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u362, tc_HOL_Obool)), _u363), _u364)) | ~hBOOL(hAPP(hAPP(c_member(_u362), _u365), _u363)) | hBOOL(hAPP(hAPP(c_member(_u362), _u365), _u364)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u366), _u367), _u368)) | hBOOL(hAPP(hAPP(c_member(_u366), _u367), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u366, tc_HOL_Obool)), _u368))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u369, tc_HOL_Obool)), _u370), _u371)) | ~hBOOL(hAPP(hAPP(c_member(_u369), _u372), _u370)) | hBOOL(hAPP(hAPP(c_member(_u369), _u372), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u369, tc_HOL_Obool), _u371))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_InterE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u373), _u374), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u373, tc_HOL_Obool), _u375))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u373, tc_HOL_Obool)), _u376), _u375)) | hBOOL(hAPP(hAPP(c_member(_u373), _u374), _u376)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_InterD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u377), _u378), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u377, tc_HOL_Obool), _u379))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u377, tc_HOL_Obool)), _u380), _u379)) | hBOOL(hAPP(hAPP(c_member(_u377), _u378), _u380)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_PowI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u381, tc_HOL_Obool)), _u382), _u383)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u381, tc_HOL_Obool)), _u382), hAPP(c_Set_OPow(_u381), _u383))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u384), _u385), _u386)) | ~hBOOL(hAPP(hAPP(c_member(_u387), _u388), hAPP(_u389, _u385))) | hBOOL(hAPP(hAPP(c_member(_u387), _u388), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u384, tc_fun(_u387, tc_HOL_Obool)), _u386), _u389))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u390), _u391), _u392)) | ~hBOOL(hAPP(hAPP(_u393, _u391), _u394)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u390, tc_fun(_u395, tc_HOL_Obool)), _u392), _u393), _u394)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u396), _u397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u398, tc_fun(_u396, tc_HOL_Obool)), _u399), _u400))) | ~hBOOL(hAPP(hAPP(c_member(_u398), _u401), _u399)) | hBOOL(hAPP(hAPP(c_member(_u396), _u397), hAPP(_u400, _u401))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u402), _u403), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u404, tc_fun(_u402, tc_HOL_Obool)), _u405), _u406))) | hBOOL(hAPP(hAPP(c_member(_u402), _u403), hAPP(_u406, _u407))) | ~hBOOL(hAPP(hAPP(c_member(_u404), _u407), _u405)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u408, tc_fun(_u409, tc_HOL_Obool)), _u410), _u411), _u412)) | hBOOL(hAPP(hAPP(_u411, _u413), _u412)) | ~hBOOL(hAPP(hAPP(c_member(_u408), _u413), _u410)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u414, tc_fun(_u415, tc_HOL_Obool)), _u416), _u417), _u418)) | ~hBOOL(hAPP(hAPP(c_member(_u414), _u419), _u416)) | hBOOL(hAPP(hAPP(_u417, _u419), _u418)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u420, tc_fun(_u421, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u422, tc_fun(_u420, tc_HOL_Obool)), _u423), _u424)), _u425) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u422, tc_fun(_u421, tc_HOL_Obool)), _u423), hAPP(hAPP(c_COMBC(_u422, tc_fun(_u420, tc_fun(_u421, tc_HOL_Obool)), tc_fun(_u421, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u420, tc_HOL_Obool), tc_fun(tc_fun(_u420, tc_fun(_u421, tc_HOL_Obool)), tc_fun(_u421, tc_HOL_Obool)), _u422), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u420, tc_fun(_u421, tc_HOL_Obool))), _u424)), _u425))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u426, tc_fun(_u427, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u428, tc_fun(_u426, tc_HOL_Obool)), _u429), _u430)), _u431) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u428, tc_fun(_u427, tc_HOL_Obool)), _u429), hAPP(hAPP(c_COMBC(_u428, tc_fun(_u426, tc_fun(_u427, tc_HOL_Obool)), tc_fun(_u427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u426, tc_HOL_Obool), tc_fun(tc_fun(_u426, tc_fun(_u427, tc_HOL_Obool)), tc_fun(_u427, tc_HOL_Obool)), _u428), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u426, tc_fun(_u427, tc_HOL_Obool))), _u430)), _u431))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u432, tc_fun(_u433, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u434, tc_fun(_u432, tc_HOL_Obool)), _u435), _u436)), _u437) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u434, tc_fun(_u433, tc_HOL_Obool)), _u435), hAPP(hAPP(c_COMBC(_u434, tc_fun(_u432, tc_fun(_u433, tc_HOL_Obool)), tc_fun(_u433, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u432, tc_HOL_Obool), tc_fun(tc_fun(_u432, tc_fun(_u433, tc_HOL_Obool)), tc_fun(_u433, tc_HOL_Obool)), _u434), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u432, tc_fun(_u433, tc_HOL_Obool))), _u436)), _u437))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u451), _u440), _u453)) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u439), hAPP(_u455, _u440))) | hBOOL(hAPP(_u457, _u439)) | hBOOL(hAPP(hAPP(c_member(_u449), skolem11(_u457, _u455, _u453, _u451, _u449)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u451, tc_fun(_u449, tc_HOL_Obool)), _u453), _u455))) )).
% 12.28/12.44 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u451), _u440), _u453)) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u439), hAPP(_u455, _u440))) | hBOOL(hAPP(_u457, _u439)) | ~hBOOL(hAPP(_u457, skolem11(_u457, _u455, _u453, _u451, _u449))) )).
% 12.28/12.44 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u443), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u452, tc_fun(_u450, tc_HOL_Obool)), _u454), _u456))) | hBOOL(hAPP(_u458, _u443)) | hBOOL(hAPP(hAPP(c_member(_u452), skolem12(_u458, _u456, _u454, _u452, _u450)), _u454)) )).
% 12.28/12.44 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u443), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u452, tc_fun(_u450, tc_HOL_Obool)), _u454), _u456))) | hBOOL(hAPP(_u458, _u443)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem13(_u458, _u456, _u454, _u452, _u450)), hAPP(_u456, skolem12(_u458, _u456, _u454, _u452, _u450)))) )).
% 12.28/12.44 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u443), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u452, tc_fun(_u450, tc_HOL_Obool)), _u454), _u456))) | hBOOL(hAPP(_u458, _u443)) | ~hBOOL(hAPP(_u458, skolem13(_u458, _u456, _u454, _u452, _u450))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u459, tc_fun(_u460, tc_HOL_Obool)), _u461), hAPP(hAPP(c_COMBC(_u459, tc_fun(_u462, tc_fun(_u460, tc_HOL_Obool)), tc_fun(_u460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u462, tc_HOL_Obool), tc_fun(tc_fun(_u462, tc_fun(_u460, tc_HOL_Obool)), tc_fun(_u460, tc_HOL_Obool)), _u459), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u462, tc_fun(_u460, tc_HOL_Obool))), _u463)), _u464)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u462, tc_fun(_u460, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u459, tc_fun(_u462, tc_HOL_Obool)), _u461), _u463)), _u464)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u465, tc_fun(_u466, tc_HOL_Obool)), _u467), hAPP(hAPP(c_COMBC(_u465, tc_fun(_u468, tc_fun(_u466, tc_HOL_Obool)), tc_fun(_u466, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u468, tc_HOL_Obool), tc_fun(tc_fun(_u468, tc_fun(_u466, tc_HOL_Obool)), tc_fun(_u466, tc_HOL_Obool)), _u465), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u468, tc_fun(_u466, tc_HOL_Obool))), _u469)), _u470)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u468, tc_fun(_u466, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u465, tc_fun(_u468, tc_HOL_Obool)), _u467), _u469)), _u470)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u471, tc_HOL_Obool), hAPP(c_Set_OPow(_u471), _u472)) = _u472) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u480, tc_fun(_u482, tc_HOL_Obool)), _u484), _u486), _u488)) | ~hBOOL(hAPP(hAPP(c_member(_u480), _u473), _u484)) | hBOOL(hAPP(hAPP(_u486, _u473), _u488)) )).
% 12.28/12.44 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u481, tc_fun(_u483, tc_HOL_Obool)), _u485), _u487), _u489)) | hBOOL(hAPP(hAPP(c_member(_u481), skolem14(_u489, _u487, _u485, _u483, _u481)), _u485)) )).
% 12.28/12.44 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u481, tc_fun(_u483, tc_HOL_Obool)), _u485), _u487), _u489)) | ~hBOOL(hAPP(hAPP(_u487, skolem14(_u489, _u487, _u485, _u483, _u481)), _u489)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u497, tc_fun(_u499, tc_HOL_Obool)), _u501), _u503), _u505)) | hBOOL(hAPP(hAPP(c_member(_u497), skolem15(_u505, _u503, _u501, _u499, _u497)), _u501)) )).
% 12.28/12.44 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u497, tc_fun(_u499, tc_HOL_Obool)), _u501), _u503), _u505)) | hBOOL(hAPP(hAPP(_u503, skolem15(_u505, _u503, _u501, _u499, _u497)), _u505)) )).
% 12.28/12.44 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u498), _u491), _u502)) | ~hBOOL(hAPP(hAPP(_u504, _u491), _u506)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u498, tc_fun(_u500, tc_HOL_Obool)), _u502), _u504), _u506)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u507), _u508), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u507, tc_HOL_Obool)), _u509))) | ~hBOOL(hAPP(hAPP(c_member(_u507), _u508), _u509)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u510), _u511), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u510, tc_HOL_Obool)), _u512))) | ~hBOOL(hAPP(hAPP(c_member(_u510), _u511), _u512)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_eq__mem__trans-1, axiom, ( ( _u513 != _u514) | ~hBOOL(hAPP(hAPP(c_member(_u515), _u514), _u516)) | hBOOL(hAPP(hAPP(c_member(_u515), _u513), _u516)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u517 != _u518) | ~hBOOL(hAPP(hAPP(c_member(_u519), _u517), _u520)) | hBOOL(hAPP(hAPP(c_member(_u519), _u518), _u520)) )).
% 12.28/12.44 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u517 != _u518) | ~hBOOL(hAPP(hAPP(c_member(_u519), _u518), _u520)) | hBOOL(hAPP(hAPP(c_member(_u519), _u517), _u520)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u521 != _u522) | ~hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u521)) | hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u522)) )).
% 12.28/12.44 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u521 != _u522) | ~hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u522)) | hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u521)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u530 = _u532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u528, tc_HOL_Obool)), _u530) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u528, tc_HOL_Obool)), _u532)) )).
% 12.28/12.44 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u531 != _u533) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u529, tc_HOL_Obool)), _u531) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u529, tc_HOL_Obool)), _u533)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_eq__mem-1, axiom, ( ( _u539 = _u541) | ~hBOOL(hAPP(hAPP(c_member(_u537), _u539), hAPP(c_fequal, _u541))) )).
% 12.28/12.44 cnf(fact_eq__mem-2, axiom, ( ( _u540 != _u542) | hBOOL(hAPP(hAPP(c_member(_u538), _u540), hAPP(c_fequal, _u542))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u546), _u548), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u546, tc_HOL_Obool)), _u550))) | ~hBOOL(hAPP(hAPP(c_member(_u546), _u548), _u550)) )).
% 12.28/12.44 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u547), _u549), _u551)) | hBOOL(hAPP(hAPP(c_member(_u547), _u549), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u547, tc_HOL_Obool)), _u551))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u559, _u557)) | ~hBOOL(hAPP(hAPP(c_member(_u555), _u557), _u559)) )).
% 12.28/12.44 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u560, _u558)) | hBOOL(hAPP(hAPP(c_member(_u556), _u558), _u560)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u561, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u561, tc_HOL_Obool)), _u562)) = _u562) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u563, tc_HOL_Obool)), _u564), hAPP(c_Set_OPow(_u563), _u564))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u565, tc_HOL_Obool)), _u566), _u567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u565, tc_HOL_Obool)), _u566), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u565, tc_HOL_Obool), _u567))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u568, tc_HOL_Obool)), _u569), _u570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u568, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u568, tc_HOL_Obool), _u570)), _u569)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u571, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u572, tc_fun(_u571, tc_HOL_Obool)), _u573), _u574)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u572, tc_fun(_u571, tc_HOL_Obool)), _u573), hAPP(hAPP(c_COMBB(tc_fun(_u571, tc_HOL_Obool), tc_fun(_u571, tc_HOL_Obool), _u572), c_Groups_Ouminus__class_Ouminus(tc_fun(_u571, tc_HOL_Obool))), _u574))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u575, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u576, tc_fun(_u575, tc_HOL_Obool)), _u577), _u578)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u576, tc_fun(_u575, tc_HOL_Obool)), _u577), hAPP(hAPP(c_COMBB(tc_fun(_u575, tc_HOL_Obool), tc_fun(_u575, tc_HOL_Obool), _u576), c_Groups_Ouminus__class_Ouminus(tc_fun(_u575, tc_HOL_Obool))), _u578))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u579, tc_HOL_Obool), _u580) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u579, tc_HOL_Obool), tc_fun(_u579, tc_HOL_Obool)), _u580), c_COMBI(tc_fun(_u579, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u581, tc_HOL_Obool), tc_fun(_u582, tc_HOL_Obool)), _u583), hAPP(hAPP(c_COMBC(tc_fun(_u581, tc_HOL_Obool), tc_fun(_u581, tc_fun(_u582, tc_HOL_Obool)), tc_fun(_u582, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u581, tc_fun(_u582, tc_HOL_Obool))), _u584)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u581, tc_fun(_u582, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u581, tc_HOL_Obool), _u583)), _u584)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u585, tc_HOL_Obool), tc_fun(_u586, tc_HOL_Obool)), _u587), hAPP(hAPP(c_COMBC(tc_fun(_u585, tc_HOL_Obool), tc_fun(_u585, tc_fun(_u586, tc_HOL_Obool)), tc_fun(_u586, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u585, tc_fun(_u586, tc_HOL_Obool))), _u588)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u585, tc_fun(_u586, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u585, tc_HOL_Obool), _u587)), _u588)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u589, tc_fun(_u590, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u589, tc_HOL_Obool), _u591)), _u592) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u589, tc_HOL_Obool), tc_fun(_u590, tc_HOL_Obool)), _u591), hAPP(hAPP(c_COMBC(tc_fun(_u589, tc_HOL_Obool), tc_fun(_u589, tc_fun(_u590, tc_HOL_Obool)), tc_fun(_u590, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u589, tc_fun(_u590, tc_HOL_Obool))), _u592))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u593, tc_fun(_u594, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u593, tc_HOL_Obool), _u595)), _u596) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u593, tc_HOL_Obool), tc_fun(_u594, tc_HOL_Obool)), _u595), hAPP(hAPP(c_COMBC(tc_fun(_u593, tc_HOL_Obool), tc_fun(_u593, tc_fun(_u594, tc_HOL_Obool)), tc_fun(_u594, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u593, tc_fun(_u594, tc_HOL_Obool))), _u596))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u600, tc_HOL_Obool)), _u602), hAPP(c_Set_OPow(_u600), _u604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u600, tc_HOL_Obool)), _u602), _u604)) )).
% 12.28/12.44 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u601, tc_HOL_Obool)), _u603), _u605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u601, tc_HOL_Obool)), _u603), hAPP(c_Set_OPow(_u601), _u605))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_PowD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u606, tc_HOL_Obool)), _u607), hAPP(c_Set_OPow(_u606), _u608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u606, tc_HOL_Obool)), _u607), _u608)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_pred__equals__eq-1, axiom, ( ( _u614 = _u616) | ( hAPP(hAPP(c_COMBC(_u612, tc_fun(_u612, tc_HOL_Obool), tc_HOL_Obool), c_member(_u612)), _u614) != hAPP(hAPP(c_COMBC(_u612, tc_fun(_u612, tc_HOL_Obool), tc_HOL_Obool), c_member(_u612)), _u616)) )).
% 12.28/12.44 cnf(fact_pred__equals__eq-2, axiom, ( ( _u615 != _u617) | ( hAPP(hAPP(c_COMBC(_u613, tc_fun(_u613, tc_HOL_Obool), tc_HOL_Obool), c_member(_u613)), _u615) = hAPP(hAPP(c_COMBC(_u613, tc_fun(_u613, tc_HOL_Obool), tc_HOL_Obool), c_member(_u613)), _u617)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u625), _u627), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u629, tc_fun(_u625, tc_HOL_Obool)), _u631), _u633))) | ~hBOOL(hAPP(hAPP(c_member(_u629), _u618), _u631)) | hBOOL(hAPP(hAPP(c_member(_u625), _u627), hAPP(_u633, _u618))) )).
% 12.28/12.44 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u626), _u628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u630, tc_fun(_u626, tc_HOL_Obool)), _u632), _u634))) | hBOOL(hAPP(hAPP(c_member(_u630), skolem16(_u634, _u632, _u630, _u628, _u626)), _u632)) )).
% 12.28/12.44 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u626), _u628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u630, tc_fun(_u626, tc_HOL_Obool)), _u632), _u634))) | ~hBOOL(hAPP(hAPP(c_member(_u626), _u628), hAPP(_u634, skolem16(_u634, _u632, _u630, _u628, _u626)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u642), _u644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u646, tc_fun(_u642, tc_HOL_Obool)), _u648), _u650))) | hBOOL(hAPP(hAPP(c_member(_u646), skolem17(_u650, _u648, _u646, _u644, _u642)), _u648)) )).
% 12.28/12.44 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u642), _u644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u646, tc_fun(_u642, tc_HOL_Obool)), _u648), _u650))) | hBOOL(hAPP(hAPP(c_member(_u642), _u644), hAPP(_u650, skolem17(_u650, _u648, _u646, _u644, _u642)))) )).
% 12.28/12.44 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u647), _u636), _u649)) | ~hBOOL(hAPP(hAPP(c_member(_u643), _u645), hAPP(_u651, _u636))) | hBOOL(hAPP(hAPP(c_member(_u643), _u645), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u647, tc_fun(_u643, tc_HOL_Obool)), _u649), _u651))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u652) | ~hBOOL(hAPP(hAPP(c_member(_u652), _u653), _u654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), _u653), c_Complete__Lattice_OSup__class_OSup(_u652, _u654))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u655) | ~hBOOL(hAPP(hAPP(c_member(_u655), _u656), _u657)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u655), c_Complete__Lattice_OInf__class_OInf(_u655, _u657)), _u656)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u658, tc_HOL_Obool), _u659) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u658, tc_HOL_Obool), tc_fun(_u658, tc_HOL_Obool)), _u659), c_COMBI(tc_fun(_u658, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u663, hAPP(hAPP(c_COMBC(_u663, tc_fun(_u663, tc_HOL_Obool), tc_HOL_Obool), c_member(_u663)), _u665)), _u667)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u663, tc_HOL_Obool)), _u667), hAPP(c_Set_OPow(_u663), _u665))) )).
% 12.28/12.44 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u664, tc_HOL_Obool)), _u668), hAPP(c_Set_OPow(_u664), _u666))) | hBOOL(hAPP(c_Predicate_OPowp(_u664, hAPP(hAPP(c_COMBC(_u664, tc_fun(_u664, tc_HOL_Obool), tc_HOL_Obool), c_member(_u664)), _u666)), _u668)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u669), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u670, tc_fun(_u669, tc_HOL_Obool)), _u671), _u672)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u670, tc_fun(tc_fun(_u669, tc_HOL_Obool), tc_HOL_Obool)), _u671), hAPP(hAPP(c_COMBB(tc_fun(_u669, tc_HOL_Obool), tc_fun(tc_fun(_u669, tc_HOL_Obool), tc_HOL_Obool), _u670), c_Set_OPow(_u669)), _u672))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u673, tc_HOL_Obool), tc_HOL_Obool)), _u674), hAPP(c_Set_OPow(_u673), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u673, tc_HOL_Obool), _u674)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u675, tc_HOL_Obool)), _u676), _u677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u675, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u675, tc_HOL_Obool)), _u677)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u675, tc_HOL_Obool)), _u676))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u681, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u681, tc_HOL_Obool)), _u683)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u681, tc_HOL_Obool)), _u685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u681, tc_HOL_Obool)), _u685), _u683)) )).
% 12.28/12.44 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u682, tc_HOL_Obool)), _u686), _u684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u682, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u682, tc_HOL_Obool)), _u684)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u682, tc_HOL_Obool)), _u686))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u687, tc_HOL_Obool)), _u688), _u689)) | ~hBOOL(hAPP(hAPP(c_member(_u687), _u690), _u688)) | hBOOL(hAPP(hAPP(c_member(_u687), _u690), _u689)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u691), _u692), _u693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u691, tc_HOL_Obool)), _u693), _u694)) | hBOOL(hAPP(hAPP(c_member(_u691), _u692), _u694)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u695, tc_HOL_Obool)), _u696), _u697)) | ~hBOOL(hAPP(hAPP(c_member(_u695), _u698), _u696)) | hBOOL(hAPP(hAPP(c_member(_u695), _u698), _u697)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u702, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u702, tc_fun(_u702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u702)), _u704)), hAPP(hAPP(c_COMBC(_u702, tc_fun(_u702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u702)), _u706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u702, tc_HOL_Obool)), _u704), _u706)) )).
% 12.28/12.44 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), _u705), _u707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u703, tc_fun(_u703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u703)), _u705)), hAPP(hAPP(c_COMBC(_u703, tc_fun(_u703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u703)), _u707))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u708), _u709), _u710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u711, tc_HOL_Obool)), hAPP(_u712, _u709)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u708, tc_fun(_u711, tc_HOL_Obool)), _u710), _u712))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u713), _u714), _u715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u716, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u713, tc_fun(_u716, tc_HOL_Obool)), _u715), _u717)), hAPP(_u717, _u714))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), c_Complete__Lattice_OSup__class_OSup(_u720, _u721)), _u722)) | ~hBOOL(hAPP(hAPP(c_member(_u720), _u718), _u721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), _u718), _u722)) )).
% 12.28/12.44 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), c_Complete__Lattice_OSup__class_OSup(_u720, _u721)), _u722)) | hBOOL(hAPP(hAPP(c_member(_u720), skolem18(_u722, _u721, _u720)), _u721)) )).
% 12.28/12.44 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), c_Complete__Lattice_OSup__class_OSup(_u720, _u721)), _u722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), skolem18(_u722, _u721, _u720)), _u722)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), c_Complete__Lattice_OInf__class_OInf(_u725, _u727))) | ~hBOOL(hAPP(hAPP(c_member(_u725), _u723), _u727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), _u723)) )).
% 12.28/12.44 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), c_Complete__Lattice_OInf__class_OInf(_u725, _u727))) | hBOOL(hAPP(hAPP(c_member(_u725), skolem19(_u727, _u726, _u725)), _u727)) )).
% 12.28/12.44 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), c_Complete__Lattice_OInf__class_OInf(_u725, _u727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), skolem19(_u727, _u726, _u725))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u728, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u729, tc_fun(tc_fun(_u728, tc_HOL_Obool), tc_HOL_Obool)), _u730), hAPP(hAPP(c_COMBB(tc_fun(_u728, tc_HOL_Obool), tc_fun(tc_fun(_u728, tc_HOL_Obool), tc_HOL_Obool), _u729), c_Set_OPow(_u728)), _u731))), hAPP(c_Set_OPow(_u728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u729, tc_fun(_u728, tc_HOL_Obool)), _u730), _u731)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u732) | ~hBOOL(hAPP(hAPP(c_member(_u732), _u733), hAPP(c_SetInterval_Oord__class_OatMost(_u732), _u734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u732), _u733), _u734)) )).
% 12.28/12.44 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u732), _u733), _u734)) | hBOOL(hAPP(hAPP(c_member(_u732), _u733), hAPP(c_SetInterval_Oord__class_OatMost(_u732), _u734))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u735) | ~hBOOL(hAPP(hAPP(c_member(_u735), _u736), hAPP(c_SetInterval_Oord__class_OatLeast(_u735), _u737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u735), _u737), _u736)) )).
% 12.28/12.44 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u735), _u737), _u736)) | hBOOL(hAPP(hAPP(c_member(_u735), _u736), hAPP(c_SetInterval_Oord__class_OatLeast(_u735), _u737))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u738) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u739, _u738)), _u740), _u741) = hAPP(c_Groups_Ouminus__class_Ouminus(_u738), hAPP(_u740, _u741))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u742) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u743, _u742)), _u744), _u745) = hAPP(c_Groups_Ouminus__class_Ouminus(_u742), hAPP(_u744, _u745))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u752), _u754), c_SetInterval_Oord_OgreaterThanAtMost(_u752, _u756, _u758, _u760, _u762))) | hBOOL(hAPP(hAPP(_u758, _u760), _u754)) )).
% 12.28/12.44 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u752), _u754), c_SetInterval_Oord_OgreaterThanAtMost(_u752, _u756, _u758, _u760, _u762))) | hBOOL(hAPP(hAPP(_u756, _u754), _u762)) )).
% 12.28/12.44 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u759, _u761), _u755)) | ~hBOOL(hAPP(hAPP(_u757, _u755), _u763)) | hBOOL(hAPP(hAPP(c_member(_u753), _u755), c_SetInterval_Oord_OgreaterThanAtMost(_u753, _u757, _u759, _u761, _u763))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u770), _u772), c_SetInterval_Oord_OatLeastLessThan(_u770, _u774, _u776, _u778, _u780))) | hBOOL(hAPP(hAPP(_u774, _u778), _u772)) )).
% 12.28/12.44 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u770), _u772), c_SetInterval_Oord_OatLeastLessThan(_u770, _u774, _u776, _u778, _u780))) | hBOOL(hAPP(hAPP(_u776, _u772), _u780)) )).
% 12.28/12.44 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u775, _u779), _u773)) | ~hBOOL(hAPP(hAPP(_u777, _u773), _u781)) | hBOOL(hAPP(hAPP(c_member(_u771), _u773), c_SetInterval_Oord_OatLeastLessThan(_u771, _u775, _u777, _u779, _u781))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u787), _u789), c_SetInterval_Oord_OgreaterThanLessThan(_u787, _u791, _u793, _u795))) | hBOOL(hAPP(hAPP(_u791, _u793), _u789)) )).
% 12.28/12.44 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u787), _u789), c_SetInterval_Oord_OgreaterThanLessThan(_u787, _u791, _u793, _u795))) | hBOOL(hAPP(hAPP(_u791, _u789), _u795)) )).
% 12.28/12.44 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u792, _u794), _u790)) | ~hBOOL(hAPP(hAPP(_u792, _u790), _u796)) | hBOOL(hAPP(hAPP(c_member(_u788), _u790), c_SetInterval_Oord_OgreaterThanLessThan(_u788, _u792, _u794, _u796))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u802), _u804), c_SetInterval_Oord_OatLeastAtMost(_u802, _u806, _u808, _u810))) | hBOOL(hAPP(hAPP(_u806, _u808), _u804)) )).
% 12.28/12.44 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u802), _u804), c_SetInterval_Oord_OatLeastAtMost(_u802, _u806, _u808, _u810))) | hBOOL(hAPP(hAPP(_u806, _u804), _u810)) )).
% 12.28/12.44 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u807, _u809), _u805)) | ~hBOOL(hAPP(hAPP(_u807, _u805), _u811)) | hBOOL(hAPP(hAPP(c_member(_u803), _u805), c_SetInterval_Oord_OatLeastAtMost(_u803, _u807, _u809, _u811))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u820, _u822), _u818)) | ~hBOOL(hAPP(hAPP(c_member(_u816), _u818), c_SetInterval_Oord_OgreaterThan(_u816, _u820, _u822))) )).
% 12.28/12.44 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u821, _u823), _u819)) | hBOOL(hAPP(hAPP(c_member(_u817), _u819), c_SetInterval_Oord_OgreaterThan(_u817, _u821, _u823))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u832, _u830), _u834)) | ~hBOOL(hAPP(hAPP(c_member(_u828), _u830), c_SetInterval_Oord_OlessThan(_u828, _u832, _u834))) )).
% 12.28/12.44 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u833, _u831), _u835)) | hBOOL(hAPP(hAPP(c_member(_u829), _u831), c_SetInterval_Oord_OlessThan(_u829, _u833, _u835))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u844, _u846), _u842)) | ~hBOOL(hAPP(hAPP(c_member(_u840), _u842), c_SetInterval_Oord_OatLeast(_u840, _u844, _u846))) )).
% 12.28/12.44 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u845, _u847), _u843)) | hBOOL(hAPP(hAPP(c_member(_u841), _u843), c_SetInterval_Oord_OatLeast(_u841, _u845, _u847))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u856, _u854), _u858)) | ~hBOOL(hAPP(hAPP(c_member(_u852), _u854), c_SetInterval_Oord_OatMost(_u852, _u856, _u858))) )).
% 12.28/12.44 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u857, _u855), _u859)) | hBOOL(hAPP(hAPP(c_member(_u853), _u855), c_SetInterval_Oord_OatMost(_u853, _u857, _u859))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u860), _u861), _u862)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u860), hAPP(c_Groups_Ouminus__class_Ouminus(_u860), _u862)), hAPP(c_Groups_Ouminus__class_Ouminus(_u860), _u861))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u863) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u863), _u864), _u865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u863), hAPP(c_Groups_Ouminus__class_Ouminus(_u863), _u865)), hAPP(c_Groups_Ouminus__class_Ouminus(_u863), _u864))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u875, tc_fun(_u877, tc_fun(_u879, tc_HOL_Obool))), _u881), _u883), _u885), _u887)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem20(_u887, _u885, _u883, _u881, _u879, _u877, _u875)), _u881)) )).
% 12.28/12.44 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u875, tc_fun(_u877, tc_fun(_u879, tc_HOL_Obool))), _u881), _u883), _u885), _u887)) | hBOOL(hAPP(hAPP(hAPP(_u883, skolem20(_u887, _u885, _u883, _u881, _u879, _u877, _u875)), _u885), _u887)) )).
% 12.28/12.44 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u876), _u867), _u882)) | ~hBOOL(hAPP(hAPP(hAPP(_u884, _u867), _u886), _u888)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u876, tc_fun(_u878, tc_fun(_u880, tc_HOL_Obool))), _u882), _u884), _u886), _u888)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u898, tc_fun(_u900, tc_fun(_u902, tc_HOL_Obool))), _u904), _u906), _u908), _u910)) | ~hBOOL(hAPP(hAPP(c_member(_u898), _u889), _u904)) | hBOOL(hAPP(hAPP(hAPP(_u906, _u889), _u908), _u910)) )).
% 12.28/12.44 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u899, tc_fun(_u901, tc_fun(_u903, tc_HOL_Obool))), _u905), _u907), _u909), _u911)) | hBOOL(hAPP(hAPP(c_member(_u899), skolem21(_u911, _u909, _u907, _u905, _u903, _u901, _u899)), _u905)) )).
% 12.28/12.44 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u899, tc_fun(_u901, tc_fun(_u903, tc_HOL_Obool))), _u905), _u907), _u909), _u911)) | ~hBOOL(hAPP(hAPP(hAPP(_u907, skolem21(_u911, _u909, _u907, _u905, _u903, _u901, _u899)), _u909), _u911)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u912) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u913) != hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u914)) | ( _u913 = _u914) )).
% 12.28/12.44 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u912) | ( _u913 != _u914) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u913) = hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u914)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u915) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u916) != hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u917)) | ( _u916 = _u917) )).
% 12.28/12.44 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u915) | ( _u916 != _u917) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u916) = hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u917)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u918) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u919) != _u920) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u920) = _u919) )).
% 12.28/12.44 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u918) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u920) != _u919) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u919) = _u920) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u921) | ( _u922 != hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u923)) | ( _u923 = hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u922)) )).
% 12.28/12.44 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u921) | ( _u923 != hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u922)) | ( _u922 = hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u923)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u924) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u924), hAPP(c_Groups_Ouminus__class_Ouminus(_u924), _u925)) = _u925) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u926) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u926), hAPP(c_Groups_Ouminus__class_Ouminus(_u926), _u927)) = _u927) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u929), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u930), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u929))) )).
% 12.28/12.44 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u930), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u929), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u930))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u932)), _u933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u933)), _u932)) )).
% 12.28/12.44 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u933)), _u932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u932)), _u933)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u935)), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), _u936), _u935)) )).
% 12.28/12.44 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), _u936), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u935)), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u936))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u938)), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), _u939), _u938)) )).
% 12.28/12.44 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), _u939), _u938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u938)), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u939))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_InterI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u941), _u943), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u941, tc_HOL_Obool), _u942))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u941, tc_HOL_Obool)), skolem22(_u943, _u942, _u941)), _u942)) )).
% 12.28/12.44 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u941), _u943), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u941, tc_HOL_Obool), _u942))) | ~hBOOL(hAPP(hAPP(c_member(_u941), _u943), skolem22(_u943, _u942, _u941))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u945), _u946), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u945, tc_HOL_Obool), _u947))) | hBOOL(hAPP(hAPP(c_member(_u945), _u946), skolem23(_u947, _u946, _u945))) )).
% 12.28/12.44 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u945), _u946), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u945, tc_HOL_Obool), _u947))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u945, tc_HOL_Obool)), skolem23(_u947, _u946, _u945)), _u947)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u949, tc_fun(_u950, tc_fun(_u951, tc_HOL_Obool))), _u952), _u953), _u954), _u955)) | hBOOL(hAPP(hAPP(c_member(_u949), skolem24(_u955, _u954, _u953, _u952, _u951, _u950, _u949)), _u952)) )).
% 12.28/12.44 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u949, tc_fun(_u950, tc_fun(_u951, tc_HOL_Obool))), _u952), _u953), _u954), _u955)) | hBOOL(hAPP(hAPP(hAPP(_u953, skolem24(_u955, _u954, _u953, _u952, _u951, _u950, _u949)), _u954), _u955)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u957, tc_fun(_u962, tc_fun(_u963, tc_HOL_Obool))), _u958), _u959), _u960), _u961)) | hBOOL(hAPP(hAPP(c_member(_u957), skolem25(_u963, _u962, _u961, _u960, _u959, _u958, _u957)), _u958)) )).
% 12.28/12.44 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u957, tc_fun(_u962, tc_fun(_u963, tc_HOL_Obool))), _u958), _u959), _u960), _u961)) | ~hBOOL(hAPP(hAPP(hAPP(_u959, skolem25(_u963, _u962, _u961, _u960, _u959, _u958, _u957)), _u960), _u961)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u964), _u965), _u966)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u964, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u964, _u965, _u966)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u964), _u966)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u964), _u965)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u967), _u968), _u969)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u967, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u967), _u968)), c_SetInterval_Oord__class_OatLeastAtMost(_u967, _u968, _u969)) = hAPP(c_SetInterval_Oord__class_OatMost(_u967), _u969)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__greatest ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u973, tc_HOL_Obool)), _u974), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u971, tc_fun(_u973, tc_HOL_Obool)), _u972), _u975))) | hBOOL(hAPP(hAPP(c_member(_u971), skolem26(_u975, _u974, _u973, _u972, _u971)), _u972)) )).
% 12.28/12.44 cnf(fact_INT__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u973, tc_HOL_Obool)), _u974), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u971, tc_fun(_u973, tc_HOL_Obool)), _u972), _u975))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u973, tc_HOL_Obool)), _u974), hAPP(_u975, skolem26(_u975, _u974, _u973, _u972, _u971)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__anti__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u977, tc_HOL_Obool)), _u978), _u979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u980, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u981)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u982))) | hBOOL(hAPP(hAPP(c_member(_u977), skolem27(_u982, _u981, _u980, _u979, _u978, _u977)), _u979)) )).
% 12.28/12.44 cnf(fact_INT__anti__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u977, tc_HOL_Obool)), _u978), _u979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u980, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u981)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u982))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u980, tc_HOL_Obool)), hAPP(_u981, skolem27(_u982, _u981, _u980, _u979, _u978, _u977))), hAPP(_u982, skolem27(_u982, _u981, _u980, _u979, _u978, _u977)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__least ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__least-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u986, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u984, tc_fun(_u986, tc_HOL_Obool)), _u985), _u987)), _u988)) | hBOOL(hAPP(hAPP(c_member(_u984), skolem28(_u988, _u987, _u986, _u985, _u984)), _u985)) )).
% 12.28/12.44 cnf(fact_UN__least-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u986, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u984, tc_fun(_u986, tc_HOL_Obool)), _u985), _u987)), _u988)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u986, tc_HOL_Obool)), hAPP(_u987, skolem28(_u988, _u987, _u986, _u985, _u984))), _u988)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u990, tc_HOL_Obool)), _u991), _u992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u993, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u991), _u994)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u992), _u995))) | hBOOL(hAPP(hAPP(c_member(_u990), skolem29(_u995, _u994, _u993, _u992, _u991, _u990)), _u991)) )).
% 12.28/12.44 cnf(fact_UN__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u990, tc_HOL_Obool)), _u991), _u992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u993, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u991), _u994)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u992), _u995))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u993, tc_HOL_Obool)), hAPP(_u994, skolem29(_u995, _u994, _u993, _u992, _u991, _u990))), hAPP(_u995, skolem29(_u995, _u994, _u993, _u992, _u991, _u990)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__INFI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__INFI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u997) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u997), _u1000), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u998, _u997), _u999), _u1001))) | hBOOL(hAPP(hAPP(c_member(_u998), skolem30(_u1001, _u1000, _u999, _u998, _u997)), _u999)) )).
% 12.28/12.44 cnf(fact_le__INFI-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u997) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u997), _u1000), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u998, _u997), _u999), _u1001))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u997), _u1000), hAPP(_u1001, skolem30(_u1001, _u1000, _u999, _u998, _u997)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1005, tc_HOL_Obool)), _u1004), _u1002), _u1003)) | ~hBOOL(hAPP(_u1002, _u1003)) )).
% 12.28/12.44 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1005, tc_HOL_Obool)), _u1004), _u1002), _u1003)) | ~hBOOL(hAPP(_u1004, _u1003)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u1007, _u1009)) | hBOOL(hAPP(_u1008, _u1009)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1006, tc_HOL_Obool)), _u1007), _u1008), _u1009)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1010, tc_HOL_Obool)), _u1013), _u1012))) | ~hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), _u1012)) )).
% 12.28/12.44 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1010, tc_HOL_Obool)), _u1013), _u1012))) | ~hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), _u1013)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UnE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1014), _u1015), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1014, tc_HOL_Obool)), _u1016), _u1017))) | hBOOL(hAPP(hAPP(c_member(_u1014), _u1015), _u1016)) | hBOOL(hAPP(hAPP(c_member(_u1014), _u1015), _u1017)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u1018) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1019, _u1018)), _u1020), _u1021), _u1022) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1018), hAPP(_u1020, _u1022)), hAPP(_u1021, _u1022))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1023) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), _u1024), _u1025)), _u1026) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), _u1024), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), _u1025), _u1026))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u1027) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), _u1028), _u1029)), _u1030) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), _u1028), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), _u1029), _u1030))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1031) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), _u1032), _u1033)), _u1034) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), _u1032), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), _u1033), _u1034))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1035) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1036), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1037), _u1038)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1037), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1036), _u1038))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u1039) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1040), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1041), _u1042)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1041), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1040), _u1042))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1043) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1045), _u1046)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1045), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1044), _u1046))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1047) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1047), _u1048), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1047), _u1048), _u1049)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1047), _u1048), _u1049)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u1050) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1050), _u1051), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1050), _u1051), _u1052)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1050), _u1051), _u1052)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1053) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1053), _u1054), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1053), _u1054), _u1055)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1053), _u1054), _u1055)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1056) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1056), _u1057), _u1058) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1056), _u1058), _u1057)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u1059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1059), _u1060), _u1061) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1059), _u1061), _u1060)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1062) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1062), _u1063), _u1064) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1062), _u1064), _u1063)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u1065) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1066, _u1065)), _u1067), _u1068), _u1069) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1065), hAPP(_u1067, _u1069)), hAPP(_u1068, _u1069))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1070) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1070), _u1071), _u1071) = _u1071) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1072) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1072), _u1073), _u1073) = _u1073) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u1074, _u1075)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1076, tc_HOL_Obool)), _u1077), _u1074), _u1075)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u1078, _u1079)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1080, tc_HOL_Obool)), _u1078), _u1081), _u1079)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1092), skolem31(_u1098, _u1096, _u1094, _u1092)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1092, tc_HOL_Obool)), _u1094), _u1096))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1083), _u1094)) | hBOOL(hAPP(_u1098, _u1083)) )).
% 12.28/12.44 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1092), skolem31(_u1098, _u1096, _u1094, _u1092)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1092, tc_HOL_Obool)), _u1094), _u1096))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1084), _u1096)) | hBOOL(hAPP(_u1098, _u1084)) )).
% 12.28/12.44 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u1098, skolem31(_u1098, _u1096, _u1094, _u1092))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1083), _u1094)) | hBOOL(hAPP(_u1098, _u1083)) )).
% 12.28/12.44 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u1098, skolem31(_u1098, _u1096, _u1094, _u1092))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1084), _u1096)) | hBOOL(hAPP(_u1098, _u1084)) )).
% 12.28/12.44 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem32(_u1099, _u1097, _u1095, _u1093)), _u1095)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem33(_u1099, _u1097, _u1095, _u1093)), _u1097)) )).
% 12.28/12.44 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem32(_u1099, _u1097, _u1095, _u1093)), _u1095)) | ~hBOOL(hAPP(_u1099, skolem33(_u1099, _u1097, _u1095, _u1093))) )).
% 12.28/12.44 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | ~hBOOL(hAPP(_u1099, skolem32(_u1099, _u1097, _u1095, _u1093))) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem33(_u1099, _u1097, _u1095, _u1093)), _u1097)) )).
% 12.28/12.44 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | ~hBOOL(hAPP(_u1099, skolem32(_u1099, _u1097, _u1095, _u1093))) | ~hBOOL(hAPP(_u1099, skolem33(_u1099, _u1097, _u1095, _u1093))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem34(_u1116, _u1114, _u1112, _u1110)), _u1112)) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem35(_u1116, _u1114, _u1112, _u1110)), _u1114)) )).
% 12.28/12.44 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem34(_u1116, _u1114, _u1112, _u1110)), _u1112)) | hBOOL(hAPP(_u1116, skolem35(_u1116, _u1114, _u1112, _u1110))) )).
% 12.28/12.44 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(_u1116, skolem34(_u1116, _u1114, _u1112, _u1110))) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem35(_u1116, _u1114, _u1112, _u1110)), _u1114)) )).
% 12.28/12.44 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(_u1116, skolem34(_u1116, _u1114, _u1112, _u1110))) | hBOOL(hAPP(_u1116, skolem35(_u1116, _u1114, _u1112, _u1110))) )).
% 12.28/12.44 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1103), _u1113)) | ~hBOOL(hAPP(_u1117, _u1103)) | hBOOL(hAPP(hAPP(c_member(_u1111), skolem36(_u1117, _u1115, _u1113, _u1111)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1111, tc_HOL_Obool)), _u1113), _u1115))) )).
% 12.28/12.44 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1103), _u1113)) | ~hBOOL(hAPP(_u1117, _u1103)) | hBOOL(hAPP(_u1117, skolem36(_u1117, _u1115, _u1113, _u1111))) )).
% 12.28/12.44 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1104), _u1115)) | ~hBOOL(hAPP(_u1117, _u1104)) | hBOOL(hAPP(hAPP(c_member(_u1111), skolem36(_u1117, _u1115, _u1113, _u1111)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1111, tc_HOL_Obool)), _u1113), _u1115))) )).
% 12.28/12.44 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1104), _u1115)) | ~hBOOL(hAPP(_u1117, _u1104)) | hBOOL(hAPP(_u1117, skolem36(_u1117, _u1115, _u1113, _u1111))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), _u1119), _u1120)), _u1121) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), _u1119), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), _u1120), _u1121))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1124), _u1125)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1124), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1123), _u1125))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1126, tc_HOL_Obool)), _u1127), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1126, tc_HOL_Obool)), _u1127), _u1128)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1126, tc_HOL_Obool)), _u1127), _u1128)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1129, tc_HOL_Obool)), _u1130), _u1131) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1129, tc_HOL_Obool)), _u1131), _u1130)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1132, tc_HOL_Obool)), _u1133), _u1133) = _u1133) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1134, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1134, tc_HOL_Obool), tc_HOL_Obool)), _u1135), _u1136)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1134, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1134, tc_HOL_Obool), _u1135)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1134, tc_HOL_Obool), _u1136))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1137), _u1138), _u1139)), _u1140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), _u1138), _u1140)) )).
% 12.28/12.44 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1137), _u1138), _u1139)), _u1140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), _u1139), _u1140)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1141), _u1142), _u1143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1141), _u1144), _u1145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1141), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1141), _u1142), _u1144)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1141), _u1143), _u1145))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1146), _u1147), _u1148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1146), _u1149), _u1148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1146), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1146), _u1147), _u1149)), _u1148)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1150), _u1151), _u1152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1150), _u1153), _u1152)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1150), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1150), _u1151), _u1153)), _u1152)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1154), _u1155), _u1156)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1154), _u1156), _u1155) = _u1156) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1157), _u1158), _u1159)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1157), _u1158), _u1159) = _u1159) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1160), _u1161), _u1162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1160), _u1161), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1160), _u1163), _u1162))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1164), _u1165), _u1166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1164), _u1165), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1164), _u1166), _u1167))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1168), _u1169), _u1170)), _u1171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1169), _u1171)) )).
% 12.28/12.44 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1168), _u1169), _u1170)), _u1171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1170), _u1171)) )).
% 12.28/12.44 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u1168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1169), _u1171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1170), _u1171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1168), _u1169), _u1170)), _u1171)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1172), _u1173), _u1174)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1172), _u1173), _u1174) = _u1174) )).
% 12.28/12.44 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u1172) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1172), _u1173), _u1174) != _u1174) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1172), _u1173), _u1174)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1175) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1175), _u1176), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1175), _u1177), _u1176))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1178), _u1179), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1178), _u1180), _u1179))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1181), _u1182), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1181), _u1182), _u1183))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1184) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1184), _u1185), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1184), _u1185), _u1186))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1187), _u1188), _u1189)) | hBOOL(hAPP(hAPP(c_member(_u1187), _u1188), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1187, tc_HOL_Obool)), _u1190), _u1189))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1191), _u1192), _u1193)) | hBOOL(hAPP(hAPP(c_member(_u1191), _u1192), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1191, tc_HOL_Obool)), _u1193), _u1194))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1199), _u1201), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1199, tc_HOL_Obool)), _u1203), _u1205))) | hBOOL(hAPP(hAPP(c_member(_u1199), _u1201), _u1203)) | hBOOL(hAPP(hAPP(c_member(_u1199), _u1201), _u1205)) )).
% 12.28/12.44 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1200, tc_HOL_Obool)), _u1204), _u1206))) | ~hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), _u1204)) )).
% 12.28/12.44 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1200, tc_HOL_Obool)), _u1204), _u1206))) | ~hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), _u1206)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1207, tc_HOL_Obool)), _u1208), _u1209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1207, tc_HOL_Obool)), _u1210), _u1211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1207, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1207, tc_HOL_Obool)), _u1208), _u1210)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1207, tc_HOL_Obool)), _u1209), _u1211))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1212, tc_HOL_Obool)), _u1213), _u1214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1212, tc_HOL_Obool)), _u1215), _u1214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1212, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1212, tc_HOL_Obool)), _u1213), _u1215)), _u1214)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1216, tc_HOL_Obool)), _u1217), _u1218)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1216, tc_HOL_Obool)), _u1218), _u1217) = _u1218) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1219, tc_HOL_Obool)), _u1220), _u1221)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1219, tc_HOL_Obool)), _u1220), _u1221) = _u1221) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1225, tc_HOL_Obool)), _u1227), _u1229)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1225, tc_HOL_Obool)), _u1227), _u1229) = _u1229) )).
% 12.28/12.44 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1226, tc_HOL_Obool)), _u1228), _u1230) != _u1230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1226, tc_HOL_Obool)), _u1228), _u1230)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1231, tc_HOL_Obool)), _u1232), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1231, tc_HOL_Obool)), _u1233), _u1232))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1234, tc_HOL_Obool)), _u1235), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1234, tc_HOL_Obool)), _u1235), _u1236))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1237, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1237, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1237), _u1238)), hAPP(c_Set_OPow(_u1237), _u1239))), hAPP(c_Set_OPow(_u1237), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1237, tc_HOL_Obool)), _u1238), _u1239)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1244, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1244, tc_fun(_u1244, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1244)), _u1246)), hAPP(hAPP(c_COMBC(_u1244, tc_fun(_u1244, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1244)), _u1248)), _u1250)) | hBOOL(hAPP(hAPP(c_member(_u1244), _u1250), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1244, tc_HOL_Obool)), _u1246), _u1248))) )).
% 12.28/12.44 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1245), _u1251), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1245, tc_HOL_Obool)), _u1247), _u1249))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1245, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1245, tc_fun(_u1245, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1245)), _u1247)), hAPP(hAPP(c_COMBC(_u1245, tc_fun(_u1245, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1245)), _u1249)), _u1251)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1252, tc_fun(_u1253, tc_HOL_Obool)), _u1254), hAPP(hAPP(c_COMBS(_u1252, tc_fun(_u1253, tc_HOL_Obool), tc_fun(_u1253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1253, tc_HOL_Obool), tc_fun(tc_fun(_u1253, tc_HOL_Obool), tc_fun(_u1253, tc_HOL_Obool)), _u1252), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1253, tc_HOL_Obool))), _u1255)), _u1256)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1253, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1252, tc_fun(_u1253, tc_HOL_Obool)), _u1254), _u1255)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1252, tc_fun(_u1253, tc_HOL_Obool)), _u1254), _u1256))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1257, tc_fun(_u1258, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1257, tc_HOL_Obool)), _u1259), _u1260)), _u1261) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1257, tc_fun(_u1258, tc_HOL_Obool)), _u1259), _u1261)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1257, tc_fun(_u1258, tc_HOL_Obool)), _u1260), _u1261))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1262, tc_fun(_u1263, tc_HOL_Obool)), _u1264), hAPP(hAPP(c_COMBB(tc_fun(_u1263, tc_HOL_Obool), tc_fun(_u1263, tc_HOL_Obool), _u1262), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1263, tc_HOL_Obool)), _u1265)), _u1266)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1263, tc_HOL_Obool)), _u1265), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1262, tc_fun(_u1263, tc_HOL_Obool)), _u1264), _u1266))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1267, tc_fun(_u1268, tc_HOL_Obool)), _u1269), hAPP(hAPP(c_COMBC(_u1267, tc_fun(_u1268, tc_HOL_Obool), tc_fun(_u1268, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1268, tc_HOL_Obool), tc_fun(tc_fun(_u1268, tc_HOL_Obool), tc_fun(_u1268, tc_HOL_Obool)), _u1267), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1268, tc_HOL_Obool))), _u1270)), _u1271)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1268, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1267, tc_fun(_u1268, tc_HOL_Obool)), _u1269), _u1270)), _u1271)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1272, tc_HOL_Obool)), _u1273), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1274, tc_fun(_u1272, tc_HOL_Obool)), _u1275), _u1276)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1274, tc_fun(_u1272, tc_HOL_Obool)), _u1275), hAPP(hAPP(c_COMBB(tc_fun(_u1272, tc_HOL_Obool), tc_fun(_u1272, tc_HOL_Obool), _u1274), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1272, tc_HOL_Obool)), _u1273)), _u1276))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1277, tc_HOL_Obool)), _u1278), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1279, tc_fun(_u1277, tc_HOL_Obool)), _u1280), _u1281)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1279, tc_fun(_u1277, tc_HOL_Obool)), _u1280), hAPP(hAPP(c_COMBB(tc_fun(_u1277, tc_HOL_Obool), tc_fun(_u1277, tc_HOL_Obool), _u1279), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1277, tc_HOL_Obool)), _u1278)), _u1281))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1282, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1283, tc_fun(_u1282, tc_HOL_Obool)), _u1284), _u1285)), _u1286) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1283, tc_fun(_u1282, tc_HOL_Obool)), _u1284), hAPP(hAPP(c_COMBC(_u1283, tc_fun(_u1282, tc_HOL_Obool), tc_fun(_u1282, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1282, tc_HOL_Obool), tc_fun(tc_fun(_u1282, tc_HOL_Obool), tc_fun(_u1282, tc_HOL_Obool)), _u1283), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1282, tc_HOL_Obool))), _u1285)), _u1286))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1287, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1288, tc_fun(_u1287, tc_HOL_Obool)), _u1289), _u1290)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1291, tc_fun(_u1287, tc_HOL_Obool)), _u1292), _u1293)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1288, tc_fun(_u1287, tc_HOL_Obool)), _u1289), hAPP(hAPP(c_COMBB(tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool)), tc_fun(_u1287, tc_HOL_Obool), _u1288), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1291, tc_fun(_u1287, tc_HOL_Obool)), _u1292)), hAPP(hAPP(c_COMBC(_u1288, tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool)), tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u1287, tc_HOL_Obool), tc_fun(_u1287, tc_HOL_Obool)), tc_fun(tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool)), tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool))), _u1288), c_COMBB(tc_fun(_u1287, tc_HOL_Obool), tc_fun(_u1287, tc_HOL_Obool), _u1291)), hAPP(hAPP(c_COMBB(tc_fun(_u1287, tc_HOL_Obool), tc_fun(tc_fun(_u1287, tc_HOL_Obool), tc_fun(_u1287, tc_HOL_Obool)), _u1288), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1287, tc_HOL_Obool))), _u1290))), _u1293)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u1294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1294), _u1295), _u1296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1294), _u1296), _u1297)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1294, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1294, _u1295), _u1296)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1294, _u1296), _u1297)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1294, _u1295), _u1297)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1298), _u1299), _u1300)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1301, tc_HOL_Obool)), hAPP(_u1302, _u1299)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1298, tc_fun(_u1301, tc_HOL_Obool)), _u1300), _u1302)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1298, tc_fun(_u1301, tc_HOL_Obool)), _u1300), _u1302)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u1303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1303), _u1304), _u1305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1303), _u1305), _u1306)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1303, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1303, _u1304), _u1305)), c_SetInterval_Oord__class_OatLeastAtMost(_u1303, _u1305, _u1306)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1303, _u1304, _u1306)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u1307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1307), _u1308), _u1309)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1307, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1307), _u1308)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1307, _u1308), _u1309)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u1307), _u1309)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u1310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1310), _u1311), _u1312)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1310, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1310, _u1311), _u1312)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1310), _u1312)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u1310), _u1311)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1313, tc_HOL_Obool)), _u1314), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1313, tc_HOL_Obool), _u1315)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u1313, tc_HOL_Obool), tc_fun(_u1313, tc_HOL_Obool)), _u1315), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1313, tc_HOL_Obool)), _u1314))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u1316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1316), _u1317), _u1318)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1316, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1316, _u1317, _u1318)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1316), _u1318)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1316), _u1317)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u1319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1319), _u1320), _u1321)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1319, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1319), _u1320)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1319, _u1320, _u1321)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1319), _u1321)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP__leI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1323), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1324, _u1323), _u1325), _u1326)), _u1327)) | hBOOL(hAPP(hAPP(c_member(_u1324), skolem37(_u1327, _u1326, _u1325, _u1324, _u1323)), _u1325)) )).
% 12.28/12.44 cnf(fact_SUP__leI-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1323), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1324, _u1323), _u1325), _u1326)), _u1327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1323), hAPP(_u1326, skolem37(_u1327, _u1326, _u1325, _u1324, _u1323))), _u1327)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u1328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1328), _u1329), _u1330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1328), _u1330), _u1331)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1328, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1328, _u1329, _u1330)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1328, _u1330, _u1331)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1328, _u1329, _u1331)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__greatest ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1333, tc_HOL_Obool)), _u1335), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1333, tc_HOL_Obool), _u1334))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1333, tc_HOL_Obool)), skolem38(_u1335, _u1334, _u1333)), _u1334)) )).
% 12.28/12.44 cnf(fact_Inter__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1333, tc_HOL_Obool)), _u1335), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1333, tc_HOL_Obool), _u1334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1333, tc_HOL_Obool)), _u1335), skolem38(_u1335, _u1334, _u1333))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__least ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__least-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1337, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1337, tc_HOL_Obool), _u1338)), _u1339)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1337, tc_HOL_Obool)), skolem39(_u1339, _u1338, _u1337)), _u1338)) )).
% 12.28/12.44 cnf(fact_Union__least-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1337, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1337, tc_HOL_Obool), _u1338)), _u1339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1337, tc_HOL_Obool)), skolem39(_u1339, _u1338, _u1337)), _u1339)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF1__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF1__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1341, tc_fun(_u1345, tc_HOL_Obool)), _u1342), _u1343), _u1344)) | hBOOL(hAPP(hAPP(c_member(_u1341), skolem40(_u1345, _u1344, _u1343, _u1342, _u1341)), _u1342)) )).
% 12.28/12.44 cnf(fact_INF1__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1341, tc_fun(_u1345, tc_HOL_Obool)), _u1342), _u1343), _u1344)) | ~hBOOL(hAPP(hAPP(_u1343, skolem40(_u1345, _u1344, _u1343, _u1342, _u1341)), _u1344)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1347, tc_fun(_u1349, tc_HOL_Obool)), _u1348), _u1351))) | hBOOL(hAPP(hAPP(c_member(_u1347), skolem41(_u1351, _u1350, _u1349, _u1348, _u1347)), _u1348)) )).
% 12.28/12.44 cnf(fact_INT__I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1347, tc_fun(_u1349, tc_HOL_Obool)), _u1348), _u1351))) | ~hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), hAPP(_u1351, skolem41(_u1351, _u1350, _u1349, _u1348, _u1347)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP1__E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1353, tc_fun(_u1354, tc_HOL_Obool)), _u1355), _u1356), _u1357)) | hBOOL(hAPP(hAPP(c_member(_u1353), skolem42(_u1357, _u1356, _u1355, _u1354, _u1353)), _u1355)) )).
% 12.28/12.44 cnf(fact_SUP1__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1353, tc_fun(_u1354, tc_HOL_Obool)), _u1355), _u1356), _u1357)) | hBOOL(hAPP(hAPP(_u1356, skolem42(_u1357, _u1356, _u1355, _u1354, _u1353)), _u1357)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1359), _u1360), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1361, tc_fun(_u1359, tc_HOL_Obool)), _u1362), _u1363))) | hBOOL(hAPP(hAPP(c_member(_u1361), skolem43(_u1363, _u1362, _u1361, _u1360, _u1359)), _u1362)) )).
% 12.28/12.44 cnf(fact_UN__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1359), _u1360), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1361, tc_fun(_u1359, tc_HOL_Obool)), _u1362), _u1363))) | hBOOL(hAPP(hAPP(c_member(_u1359), _u1360), hAPP(_u1363, skolem43(_u1363, _u1362, _u1361, _u1360, _u1359)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__greatest ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__greatest-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1365), _u1367), c_Complete__Lattice_OInf__class_OInf(_u1365, _u1366))) | hBOOL(hAPP(hAPP(c_member(_u1365), skolem44(_u1367, _u1366, _u1365)), _u1366)) )).
% 12.28/12.44 cnf(fact_Inf__greatest-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1365), _u1367), c_Complete__Lattice_OInf__class_OInf(_u1365, _u1366))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1365), _u1367), skolem44(_u1367, _u1366, _u1365))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u1368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1368), _u1369), _u1370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1368), _u1370), _u1371)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1368, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1368, _u1369, _u1370)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1368, _u1370, _u1371)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1368, _u1369, _u1371)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__least ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__least-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1373), c_Complete__Lattice_OSup__class_OSup(_u1373, _u1374)), _u1375)) | hBOOL(hAPP(hAPP(c_member(_u1373), skolem45(_u1375, _u1374, _u1373)), _u1374)) )).
% 12.28/12.44 cnf(fact_Sup__least-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1373), c_Complete__Lattice_OSup__class_OSup(_u1373, _u1374)), _u1375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1373), skolem45(_u1375, _u1374, _u1373)), _u1375)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u1376) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1376), _u1377), _u1377) = _u1377) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1378, tc_fun(_u1379, tc_HOL_Obool)), _u1380), hAPP(hAPP(c_COMBS(_u1378, tc_fun(_u1379, tc_HOL_Obool), tc_fun(_u1379, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1379, tc_HOL_Obool), tc_fun(tc_fun(_u1379, tc_HOL_Obool), tc_fun(_u1379, tc_HOL_Obool)), _u1378), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1379, tc_HOL_Obool))), _u1381)), _u1382)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1379, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1379, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1378, tc_fun(_u1379, tc_HOL_Obool), _u1381), _u1380))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1379, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1378, tc_fun(_u1379, tc_HOL_Obool), _u1382), _u1380)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subsetI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool)), _u1385), _u1386)) | hBOOL(hAPP(hAPP(c_member(_u1384), skolem46(_u1386, _u1385, _u1384)), _u1385)) )).
% 12.28/12.44 cnf(fact_subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool)), _u1385), _u1386)) | ~hBOOL(hAPP(hAPP(c_member(_u1384), skolem46(_u1386, _u1385, _u1384)), _u1386)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1387, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1387, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1387, tc_HOL_Obool), _u1388)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1387, tc_HOL_Obool), _u1389))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1387, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1387, tc_HOL_Obool), tc_HOL_Obool)), _u1388), _u1389)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1390) | ( hAPP(c_Set_Oimage(_u1390, _u1390, c_Groups_Ouminus__class_Ouminus(_u1390)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1390), _u1391)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1390), hAPP(c_Groups_Ouminus__class_Ouminus(_u1390), _u1391))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1392) | ( hAPP(c_Set_Oimage(_u1392, _u1392, c_Groups_Ouminus__class_Ouminus(_u1392)), hAPP(c_SetInterval_Oord__class_OatMost(_u1392), _u1393)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u1392), hAPP(c_Groups_Ouminus__class_Ouminus(_u1392), _u1393))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1394) | ( hAPP(c_Set_Oimage(_u1394, _u1394, c_Groups_Ouminus__class_Ouminus(_u1394)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1394), _u1395)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u1394), hAPP(c_Groups_Ouminus__class_Ouminus(_u1394), _u1395))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1396) | ( hAPP(c_Set_Oimage(_u1396, _u1396, c_Groups_Ouminus__class_Ouminus(_u1396)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1396), _u1397)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1396), hAPP(c_Groups_Ouminus__class_Ouminus(_u1396), _u1397))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__cong ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__cong-1, axiom, ( ( _u1399 != _u1400) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1399), _u1402) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1400), _u1403)) | hBOOL(hAPP(hAPP(c_member(_u1401), skolem47(_u1404, _u1403, _u1402, _u1401, _u1400, _u1399)), _u1400)) )).
% 12.28/12.44 cnf(fact_INT__cong-2, axiom, ( ( _u1399 != _u1400) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1399), _u1402) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1400), _u1403)) | ( hAPP(_u1402, skolem47(_u1404, _u1403, _u1402, _u1401, _u1400, _u1399)) != hAPP(_u1403, skolem47(_u1404, _u1403, _u1402, _u1401, _u1400, _u1399))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1405) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), hAPP(c_Groups_Ouminus__class_Ouminus(_u1405), _u1406)) = c_Orderings_Otop__class_Otop(_u1405)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1407), _u1408), c_Orderings_Otop__class_Otop(tc_fun(_u1407, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411), _u1412)) | hBOOL(hAPP(_u1410, _u1412)) )).
% 12.28/12.44 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411), _u1412)) | hBOOL(hAPP(_u1411, _u1412)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u1413, _u1414)) | ~hBOOL(hAPP(_u1415, _u1414)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1413), _u1415), _u1414)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__eqI-1, axiom, ( ( _u1417 != hAPP(_u1418, _u1419)) | ~hBOOL(hAPP(hAPP(c_member(_u1420), _u1419), _u1421)) | hBOOL(hAPP(hAPP(c_member(_u1422), _u1417), hAPP(c_Set_Oimage(_u1420, _u1422, _u1418), _u1421))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_IntE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1423, tc_HOL_Obool)), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), _u1425)) )).
% 12.28/12.44 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1423, tc_HOL_Obool)), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), _u1426)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_IntI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), _u1429)) | ~hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), _u1430)) | hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1427, tc_HOL_Obool)), _u1429), _u1430))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1431), hAPP(_u1432, _u1433)), hAPP(c_Set_Oimage(_u1434, _u1431, _u1432), c_Orderings_Otop__class_Otop(tc_fun(_u1434, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_range__eqI-1, axiom, ( ( _u1435 != hAPP(_u1436, _u1437)) | hBOOL(hAPP(hAPP(c_member(_u1438), _u1435), hAPP(c_Set_Oimage(_u1439, _u1438, _u1436), c_Orderings_Otop__class_Otop(tc_fun(_u1439, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u1440) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1441, _u1440)), _u1442), _u1443), _u1444) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), hAPP(_u1442, _u1444)), hAPP(_u1443, _u1444))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1445) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), _u1446), _u1447)), _u1448) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), _u1446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), _u1447), _u1448))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1449) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), _u1450), _u1451)), _u1452) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), _u1450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), _u1451), _u1452))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1453) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), _u1454), _u1455)), _u1456) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), _u1454), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), _u1455), _u1456))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) != c_Orderings_Otop__class_Otop(_u1457)) | ( _u1458 = c_Orderings_Otop__class_Otop(_u1457)) )).
% 12.28/12.44 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) != c_Orderings_Otop__class_Otop(_u1457)) | ( _u1459 = c_Orderings_Otop__class_Otop(_u1457)) )).
% 12.28/12.44 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1457) | ( _u1458 != c_Orderings_Otop__class_Otop(_u1457)) | ( _u1459 != c_Orderings_Otop__class_Otop(_u1457)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) = c_Orderings_Otop__class_Otop(_u1457)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1460) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1461), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), _u1463)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1461), _u1463))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1464) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1465), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1466), _u1467)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1465), _u1467))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1468) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1469), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1470), _u1471)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1469), _u1471))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1472) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1472), _u1473), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1472), _u1473), _u1474)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1472), _u1473), _u1474)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), _u1477)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), _u1477)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1478) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1481) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1482), _u1483) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1483), _u1482)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1484) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1484), _u1485), _u1486) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1484), _u1486), _u1485)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1487) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1488), _u1489) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1489), _u1488)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u1490) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1491, _u1490)), _u1492), _u1493), _u1494) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1490), hAPP(_u1492, _u1494)), hAPP(_u1493, _u1494))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1495) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1495), _u1496), _u1496) = _u1496) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1497) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1497), _u1498), _u1498) = _u1498) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1499) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1499), _u1500), c_Orderings_Otop__class_Otop(_u1499)) = _u1500) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1501) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1501), c_Orderings_Otop__class_Otop(_u1501)), _u1502) = _u1502) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u1503) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1503), _u1504), _u1504) = _u1504) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u1507, _u1508)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1505, tc_HOL_Obool)), _u1506), _u1507), _u1508)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u1510, _u1512)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1509, tc_HOL_Obool)), _u1510), _u1511), _u1512)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), _u1514), _u1515)), _u1516) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), _u1514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), _u1515), _u1516))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u1517, _u1518, hAPP(hAPP(c_COMBB(_u1519, _u1518, _u1517), _u1520), _u1521)), c_Orderings_Otop__class_Otop(tc_fun(_u1517, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u1519, _u1518, _u1520), hAPP(c_Set_Oimage(_u1517, _u1519, _u1521), c_Orderings_Otop__class_Otop(tc_fun(_u1517, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1523), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1524), _u1525)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1524), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1523), _u1525))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1526, tc_HOL_Obool)), _u1527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1526, tc_HOL_Obool)), _u1527), _u1528)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1526, tc_HOL_Obool)), _u1527), _u1528)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1529, tc_HOL_Obool)), _u1530), _u1531) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1529, tc_HOL_Obool)), _u1531), _u1530)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1532, tc_HOL_Obool)), _u1533), _u1533) = _u1533) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1534, tc_HOL_Obool)), _u1535), c_Orderings_Otop__class_Otop(tc_fun(_u1534, tc_HOL_Obool))) = _u1535) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1536, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1536, tc_HOL_Obool))), _u1537) = _u1537) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u1538) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u1539, _u1538)), _u1540) = c_Orderings_Otop__class_Otop(_u1538)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1541, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1542, _u1541, _u1543), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1542, tc_HOL_Obool)), _u1544), _u1545))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1541, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1542, _u1541, _u1543), _u1544)), hAPP(c_Set_Oimage(_u1542, _u1541, _u1543), _u1545)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u1546, _u1547, _u1548), hAPP(c_Set_Oimage(_u1549, _u1546, _u1550), _u1551)) = hAPP(c_Set_Oimage(_u1549, _u1547, hAPP(hAPP(c_COMBB(_u1546, _u1547, _u1549), _u1548), _u1550)), _u1551)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u1552, _u1553, _u1554), _u1555) != _u1556) | ( hAPP(c_Set_Oimage(tc_fun(_u1552, tc_HOL_Obool), tc_fun(_u1553, tc_HOL_Obool), c_Set_Oimage(_u1552, _u1553, _u1554)), hAPP(c_Set_OPow(_u1552), _u1555)) = hAPP(c_Set_OPow(_u1553), _u1556)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u1557), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1557, tc_HOL_Obool)), _u1558), _u1559)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1557, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1557), _u1558)), hAPP(c_Set_OPow(_u1557), _u1559))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1560, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u1560, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u1560, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u1561), c_Orderings_Otop__class_Otop(tc_fun(_u1561, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u1561, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1562) | ( c_Complete__Lattice_OSup__class_OSup(_u1562, c_Orderings_Otop__class_Otop(tc_fun(_u1562, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u1562)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1563), _u1564), _u1565)) | ( _u1566 != hAPP(_u1567, _u1564)) | hBOOL(hAPP(hAPP(c_member(_u1568), _u1566), hAPP(c_Set_Oimage(_u1563, _u1568, _u1567), _u1565))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_imageI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1569), _u1570), _u1571)) | hBOOL(hAPP(hAPP(c_member(_u1572), hAPP(_u1573, _u1570)), hAPP(c_Set_Oimage(_u1569, _u1572, _u1573), _u1571))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1581), _u1583), hAPP(c_Set_Oimage(_u1585, _u1581, _u1587), _u1589))) | hBOOL(hAPP(hAPP(c_member(_u1585), skolem48(_u1589, _u1587, _u1585, _u1583)), _u1589)) )).
% 12.28/12.44 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1581), _u1583), hAPP(c_Set_Oimage(_u1585, _u1581, _u1587), _u1589))) | ( _u1583 = hAPP(_u1587, skolem48(_u1589, _u1587, _u1585, _u1583))) )).
% 12.28/12.44 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1586), _u1575), _u1590)) | ( _u1584 != hAPP(_u1588, _u1575)) | hBOOL(hAPP(hAPP(c_member(_u1582), _u1584), hAPP(c_Set_Oimage(_u1586, _u1582, _u1588), _u1590))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1591, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1591, tc_HOL_Obool), tc_HOL_Obool)), _u1592), _u1593))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1591, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1591, tc_HOL_Obool), _u1592)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1591, tc_HOL_Obool), _u1593)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1594), _u1596), _u1597))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), _u1596)) )).
% 12.28/12.44 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1594), _u1596), _u1597))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), _u1597)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1598), _u1599), _u1600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1598), _u1601), _u1602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1598), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1598), _u1599), _u1601)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1598), _u1600), _u1602))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1603), _u1604), _u1605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1603), _u1604), _u1606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1603), _u1604), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1603), _u1605), _u1606))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1607), _u1608), _u1609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1607), _u1608), _u1610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1607), _u1608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1607), _u1609), _u1610))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1611), _u1612), _u1613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1611), _u1613), _u1612) = _u1612) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1614) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1614), _u1615), _u1616)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1614), _u1615), _u1616) = _u1615) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1617), _u1618), _u1619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1617), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1617), _u1620), _u1618)), _u1619)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1621), _u1622), _u1623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1621), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1621), _u1622), _u1624)), _u1623)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1625), _u1627), _u1628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1627)) )).
% 12.28/12.44 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1625), _u1627), _u1628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1628)) )).
% 12.28/12.44 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1625), _u1627), _u1628))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1629), _u1630), _u1631) = _u1630) )).
% 12.28/12.44 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1629) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1629), _u1630), _u1631) != _u1630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1632) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1632), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1632), _u1633), _u1634)), _u1634)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1635) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1635), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1635), _u1636), _u1637)), _u1637)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1638), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1638), _u1639), _u1640)), _u1639)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1641) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1641), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1641), _u1642), _u1643)), _u1642)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1644, tc_HOL_Obool)), _u1645), _u1646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1647, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1644, _u1647, _u1648), _u1645)), hAPP(c_Set_Oimage(_u1644, _u1647, _u1648), _u1646))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1656, tc_HOL_Obool)), _u1658), hAPP(c_Set_Oimage(_u1660, _u1656, _u1662), _u1664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), skolem49(_u1664, _u1662, _u1660, _u1658, _u1656)), _u1664)) )).
% 12.28/12.44 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1656, tc_HOL_Obool)), _u1658), hAPP(c_Set_Oimage(_u1660, _u1656, _u1662), _u1664))) | ( _u1658 = hAPP(c_Set_Oimage(_u1660, _u1656, _u1662), skolem49(_u1664, _u1662, _u1660, _u1658, _u1656))) )).
% 12.28/12.44 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1661, tc_HOL_Obool)), _u1650), _u1665)) | ( _u1659 != hAPP(c_Set_Oimage(_u1661, _u1657, _u1663), _u1650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1657, tc_HOL_Obool)), _u1659), hAPP(c_Set_Oimage(_u1661, _u1657, _u1663), _u1665))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u1666, _u1667, _u1668), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1666, tc_HOL_Obool)), _u1669), _u1670)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1667, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1666, _u1667, _u1668), _u1669)), hAPP(c_Set_Oimage(_u1666, _u1667, _u1668), _u1670))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1671) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1671), _u1672), _u1673)), _u1674) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1671), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1671), _u1672), _u1674)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1671), _u1673), _u1674))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1675) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1675), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1675), _u1676), _u1677)), _u1678) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1675), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1675), _u1676), _u1678)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1675), _u1677), _u1678))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1679) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1679), _u1680), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1679), _u1681), _u1682)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1679), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1679), _u1680), _u1681)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1679), _u1680), _u1682))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1683) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1683), _u1684), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1683), _u1685), _u1686)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1683), _u1684), _u1685)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1683), _u1684), _u1686))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1687) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1687), _u1688), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1687), _u1688), _u1689)) = _u1688) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1690) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1690), _u1691), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1690), _u1691), _u1692)) = _u1691) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1693), _u1694), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1693, tc_HOL_Obool)), _u1695), _u1696))) | hBOOL(hAPP(hAPP(c_member(_u1693), _u1694), _u1696)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1697), _u1698), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1697, tc_HOL_Obool)), _u1699), _u1700))) | hBOOL(hAPP(hAPP(c_member(_u1697), _u1698), _u1699)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1705, tc_HOL_Obool)), _u1709), _u1711))) | hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), _u1709)) )).
% 12.28/12.44 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1705, tc_HOL_Obool)), _u1709), _u1711))) | hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), _u1711)) )).
% 12.28/12.44 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1706), _u1708), _u1710)) | ~hBOOL(hAPP(hAPP(c_member(_u1706), _u1708), _u1712)) | hBOOL(hAPP(hAPP(c_member(_u1706), _u1708), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1706, tc_HOL_Obool)), _u1710), _u1712))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1713, tc_HOL_Obool)), _u1714), _u1715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1713, tc_HOL_Obool)), _u1716), _u1717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1713, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1713, tc_HOL_Obool)), _u1714), _u1716)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1713, tc_HOL_Obool)), _u1715), _u1717))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1719), _u1720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1719), _u1721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1719), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1718, tc_HOL_Obool)), _u1720), _u1721))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1722, tc_HOL_Obool)), _u1723), _u1724)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1722, tc_HOL_Obool)), _u1724), _u1723) = _u1723) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1725, tc_HOL_Obool)), _u1726), _u1727)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1725, tc_HOL_Obool)), _u1726), _u1727) = _u1726) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1728, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1728, tc_HOL_Obool)), _u1729), _u1730)), _u1730)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1731, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1731, tc_HOL_Obool)), _u1732), _u1733)), _u1732)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), _u1735), _u1736)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), _u1736), _u1737))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), _u1737), _u1735)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), _u1735), _u1736)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), _u1736), _u1737))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), _u1737), _u1735))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1738, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1738, tc_HOL_Obool)), _u1739), _u1740)), _u1741) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1738, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1738, tc_HOL_Obool)), _u1739), _u1741)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1738, tc_HOL_Obool)), _u1740), _u1741))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1742, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1742, tc_HOL_Obool)), _u1743), _u1744)), _u1745) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1742, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1742, tc_HOL_Obool)), _u1743), _u1745)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1742, tc_HOL_Obool)), _u1744), _u1745))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1746, tc_HOL_Obool)), _u1747), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1746, tc_HOL_Obool)), _u1748), _u1749)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1746, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1746, tc_HOL_Obool)), _u1747), _u1748)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1746, tc_HOL_Obool)), _u1747), _u1749))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1751), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1750, tc_HOL_Obool)), _u1752), _u1753)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1750, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1751), _u1752)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1751), _u1753))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1754, tc_HOL_Obool)), _u1755), c_Orderings_Otop__class_Otop(tc_fun(_u1754, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1756, tc_HOL_Obool)), _u1757), c_Orderings_Otop__class_Otop(tc_fun(_u1756, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u1756, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1758, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1758, tc_HOL_Obool))), _u1759) = c_Orderings_Otop__class_Otop(tc_fun(_u1758, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1760, tc_fun(_u1761, tc_HOL_Obool)), _u1762), hAPP(hAPP(c_COMBS(_u1760, tc_fun(_u1761, tc_HOL_Obool), tc_fun(_u1761, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1761, tc_HOL_Obool), tc_fun(tc_fun(_u1761, tc_HOL_Obool), tc_fun(_u1761, tc_HOL_Obool)), _u1760), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool))), _u1763)), _u1764)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1761, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1760, tc_fun(_u1761, tc_HOL_Obool), _u1763), _u1762))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1761, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1760, tc_fun(_u1761, tc_HOL_Obool), _u1764), _u1762)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1765, tc_fun(_u1766, tc_HOL_Obool)), _u1767), hAPP(hAPP(c_COMBB(_u1768, tc_fun(_u1766, tc_HOL_Obool), _u1765), _u1769), _u1770)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1768, tc_fun(_u1766, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1765, _u1768, _u1770), _u1767)), _u1769)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u1771, _u1772, _u1773), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1774, tc_fun(_u1771, tc_HOL_Obool)), _u1775), _u1776)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1774, tc_fun(_u1772, tc_HOL_Obool)), _u1775), hAPP(hAPP(c_COMBB(tc_fun(_u1771, tc_HOL_Obool), tc_fun(_u1772, tc_HOL_Obool), _u1774), c_Set_Oimage(_u1771, _u1772, _u1773)), _u1776))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1777, tc_fun(_u1778, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1779, _u1777, _u1780), _u1781)), _u1782) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1779, tc_fun(_u1778, tc_HOL_Obool)), _u1781), hAPP(hAPP(c_COMBB(_u1777, tc_fun(_u1778, tc_HOL_Obool), _u1779), _u1782), _u1780))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1783, tc_fun(_u1784, tc_HOL_Obool)), _u1785), hAPP(hAPP(c_COMBB(_u1786, tc_fun(_u1784, tc_HOL_Obool), _u1783), _u1787), _u1788)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1786, tc_fun(_u1784, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1783, _u1786, _u1788), _u1785)), _u1787)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1789, tc_fun(_u1790, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1791, _u1789, _u1792), _u1793)), _u1794) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1791, tc_fun(_u1790, tc_HOL_Obool)), _u1793), hAPP(hAPP(c_COMBB(_u1789, tc_fun(_u1790, tc_HOL_Obool), _u1791), _u1794), _u1792))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1799, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1799, tc_fun(_u1799, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1799)), _u1801)), hAPP(hAPP(c_COMBC(_u1799, tc_fun(_u1799, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1799)), _u1803)), _u1805)) | hBOOL(hAPP(hAPP(c_member(_u1799), _u1805), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1799, tc_HOL_Obool)), _u1801), _u1803))) )).
% 12.28/12.44 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1800), _u1806), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1800, tc_HOL_Obool)), _u1802), _u1804))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1800, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1800, tc_fun(_u1800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1800)), _u1802)), hAPP(hAPP(c_COMBC(_u1800, tc_fun(_u1800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1800)), _u1804)), _u1806)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1807, tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_COMBB(tc_fun(_u1808, tc_HOL_Obool), tc_fun(_u1808, tc_HOL_Obool), _u1807), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1808, tc_HOL_Obool)), _u1810)), _u1811)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1808, tc_HOL_Obool)), _u1810), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1807, tc_fun(_u1808, tc_HOL_Obool)), _u1809), _u1811))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1812, tc_fun(_u1813, tc_HOL_Obool)), _u1814), hAPP(hAPP(c_COMBC(_u1812, tc_fun(_u1813, tc_HOL_Obool), tc_fun(_u1813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1813, tc_HOL_Obool), tc_fun(tc_fun(_u1813, tc_HOL_Obool), tc_fun(_u1813, tc_HOL_Obool)), _u1812), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1813, tc_HOL_Obool))), _u1815)), _u1816)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1813, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1812, tc_fun(_u1813, tc_HOL_Obool)), _u1814), _u1815)), _u1816)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1817, tc_HOL_Obool)), _u1818), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1819, tc_fun(_u1817, tc_HOL_Obool)), _u1820), _u1821)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1819, tc_fun(_u1817, tc_HOL_Obool)), _u1820), hAPP(hAPP(c_COMBB(tc_fun(_u1817, tc_HOL_Obool), tc_fun(_u1817, tc_HOL_Obool), _u1819), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1817, tc_HOL_Obool)), _u1818)), _u1821))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1822, tc_HOL_Obool)), _u1823), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1824, tc_fun(_u1822, tc_HOL_Obool)), _u1825), _u1826)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1824, tc_fun(_u1822, tc_HOL_Obool)), _u1825), hAPP(hAPP(c_COMBB(tc_fun(_u1822, tc_HOL_Obool), tc_fun(_u1822, tc_HOL_Obool), _u1824), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1822, tc_HOL_Obool)), _u1823)), _u1826))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1827, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1828, tc_fun(_u1827, tc_HOL_Obool)), _u1829), _u1830)), _u1831) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1828, tc_fun(_u1827, tc_HOL_Obool)), _u1829), hAPP(hAPP(c_COMBC(_u1828, tc_fun(_u1827, tc_HOL_Obool), tc_fun(_u1827, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1827, tc_HOL_Obool), tc_fun(tc_fun(_u1827, tc_HOL_Obool), tc_fun(_u1827, tc_HOL_Obool)), _u1828), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1827, tc_HOL_Obool))), _u1830)), _u1831))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1833, tc_fun(_u1832, tc_HOL_Obool)), _u1834), _u1835)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1836, tc_fun(_u1832, tc_HOL_Obool)), _u1837), _u1838)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1833, tc_fun(_u1832, tc_HOL_Obool)), _u1834), hAPP(hAPP(c_COMBB(tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool)), tc_fun(_u1832, tc_HOL_Obool), _u1833), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1836, tc_fun(_u1832, tc_HOL_Obool)), _u1837)), hAPP(hAPP(c_COMBC(_u1833, tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool)), tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u1832, tc_HOL_Obool), tc_fun(_u1832, tc_HOL_Obool)), tc_fun(tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool)), tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool))), _u1833), c_COMBB(tc_fun(_u1832, tc_HOL_Obool), tc_fun(_u1832, tc_HOL_Obool), _u1836)), hAPP(hAPP(c_COMBB(tc_fun(_u1832, tc_HOL_Obool), tc_fun(tc_fun(_u1832, tc_HOL_Obool), tc_fun(_u1832, tc_HOL_Obool)), _u1833), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool))), _u1835))), _u1838)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1839, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1840, _u1839, _u1841), _u1842)), _u1843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1839, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u1840, tc_HOL_Obool), tc_fun(_u1839, tc_HOL_Obool), c_Set_Oimage(_u1840, _u1839, _u1841)), hAPP(c_Set_OPow(_u1840), _u1842))), hAPP(c_Set_OPow(_u1839), _u1843))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1844, tc_fun(_u1845, tc_HOL_Obool)), _u1846), hAPP(hAPP(c_COMBS(_u1844, tc_fun(_u1845, tc_HOL_Obool), tc_fun(_u1845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1845, tc_HOL_Obool), tc_fun(tc_fun(_u1845, tc_HOL_Obool), tc_fun(_u1845, tc_HOL_Obool)), _u1844), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1845, tc_HOL_Obool))), _u1847)), _u1848)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1845, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1844, tc_fun(_u1845, tc_HOL_Obool)), _u1846), _u1847)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1844, tc_fun(_u1845, tc_HOL_Obool)), _u1846), _u1848))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u1855, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1857, tc_fun(_u1855, tc_HOL_Obool)), _u1859), _u1861)) | ~hBOOL(hAPP(hAPP(c_member(_u1857), _u1849), _u1859)) | ( hAPP(_u1861, _u1849) = c_Orderings_Otop__class_Otop(tc_fun(_u1855, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u1856, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1858, tc_fun(_u1856, tc_HOL_Obool)), _u1860), _u1862)) | hBOOL(hAPP(hAPP(c_member(_u1858), skolem50(_u1862, _u1860, _u1858, _u1856)), _u1860)) )).
% 12.28/12.44 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u1856, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1858, tc_fun(_u1856, tc_HOL_Obool)), _u1860), _u1862)) | ( hAPP(_u1862, skolem50(_u1862, _u1860, _u1858, _u1856)) != c_Orderings_Otop__class_Otop(tc_fun(_u1856, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1869, tc_fun(_u1871, tc_HOL_Obool)), _u1873), _u1875) != c_Orderings_Otop__class_Otop(tc_fun(_u1871, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1863), _u1873)) | ( hAPP(_u1875, _u1863) = c_Orderings_Otop__class_Otop(tc_fun(_u1871, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1870, tc_fun(_u1872, tc_HOL_Obool)), _u1874), _u1876) = c_Orderings_Otop__class_Otop(tc_fun(_u1872, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1870), skolem51(_u1876, _u1874, _u1872, _u1870)), _u1874)) )).
% 12.28/12.44 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1870, tc_fun(_u1872, tc_HOL_Obool)), _u1874), _u1876) = c_Orderings_Otop__class_Otop(tc_fun(_u1872, tc_HOL_Obool))) | ( hAPP(_u1876, skolem51(_u1876, _u1874, _u1872, _u1870)) != c_Orderings_Otop__class_Otop(tc_fun(_u1872, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u1877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1877), _u1878), c_Orderings_Otop__class_Otop(_u1877))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1879) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1880), c_Orderings_Otop__class_Otop(_u1879)) = c_Orderings_Otop__class_Otop(_u1879)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u1881) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1881), c_Orderings_Otop__class_Otop(_u1881)), _u1882) = c_Orderings_Otop__class_Otop(_u1881)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u1883) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1883), _u1885), _u1886))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1885)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1886)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u1887) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1887), _u1888), _u1889)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1887), _u1888), _u1890))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1887), _u1888), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), _u1889), _u1890)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1891) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1891), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1891), _u1892), _u1893)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1891), hAPP(c_Groups_Ouminus__class_Ouminus(_u1891), _u1892)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1891), _u1893))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1894) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1894), _u1895), _u1896)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1894), hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), _u1895)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), _u1896))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1897) | ( hAPP(c_Set_Oimage(_u1897, _u1897, c_Groups_Ouminus__class_Ouminus(_u1897)), c_SetInterval_Oord__class_OatLeastAtMost(_u1897, _u1898, _u1899)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1897, hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), _u1899), hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), _u1898))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1904, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1904, tc_HOL_Obool)), _u1906), _u1908)), _u1910) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1904, tc_HOL_Obool)), _u1906), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1904, tc_HOL_Obool)), _u1908), _u1910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1904, tc_HOL_Obool)), _u1910), _u1906)) )).
% 12.28/12.44 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1905, tc_HOL_Obool)), _u1911), _u1907)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1905, tc_HOL_Obool)), _u1907), _u1909)), _u1911) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1905, tc_HOL_Obool)), _u1907), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), _u1909), _u1911))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1912, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1912, tc_HOL_Obool)), _u1913), _u1914)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1912, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1912, tc_HOL_Obool)), _u1913)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1912, tc_HOL_Obool)), _u1914))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1915, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1915, tc_HOL_Obool)), _u1916), _u1917)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1915, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1915, tc_HOL_Obool)), _u1916)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1915, tc_HOL_Obool)), _u1917))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1918, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1918, tc_HOL_Obool)), _u1919)), _u1919) = c_Orderings_Otop__class_Otop(tc_fun(_u1918, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1920, tc_HOL_Obool)), _u1921), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1920, tc_HOL_Obool)), _u1921)) = c_Orderings_Otop__class_Otop(tc_fun(_u1920, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1922, tc_fun(_u1923, tc_HOL_Obool)), _u1924), _u1925) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1923, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1922, tc_fun(_u1923, tc_HOL_Obool), _u1925), _u1924))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1926, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1927, tc_fun(_u1926, tc_HOL_Obool), _u1928), _u1929)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1927, tc_fun(_u1926, tc_HOL_Obool)), _u1929), _u1928)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1930), _u1931), _u1932)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1933, tc_HOL_Obool)), hAPP(_u1934, _u1931)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1930, tc_fun(_u1933, tc_HOL_Obool)), _u1932), _u1934)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1930, tc_fun(_u1933, tc_HOL_Obool)), _u1932), _u1934)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1935, tc_fun(_u1936, tc_HOL_Obool)), _u1937), _u1938) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1936, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1935, tc_fun(_u1936, tc_HOL_Obool), _u1938), _u1937))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1939, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1940, tc_fun(_u1939, tc_HOL_Obool), _u1941), _u1942)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1940, tc_fun(_u1939, tc_HOL_Obool)), _u1942), _u1941)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1943, tc_fun(_u1944, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1943, tc_HOL_Obool)), _u1945), _u1946)), _u1947) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1944, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1943, tc_fun(_u1944, tc_HOL_Obool)), _u1945), _u1947)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1943, tc_fun(_u1944, tc_HOL_Obool)), _u1946), _u1947))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1952, tc_fun(_u1954, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1952, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1954, tc_HOL_Obool), tc_fun(_u1954, tc_HOL_Obool), _u1952), hAPP(c_COMBC(_u1954, tc_fun(_u1954, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1954))), _u1956)), _u1958)) | hBOOL(hAPP(hAPP(c_member(_u1954), _u1958), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1952, tc_fun(_u1954, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1952, tc_HOL_Obool))), _u1956))) )).
% 12.28/12.44 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1955), _u1959), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1953, tc_fun(_u1955, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1953, tc_HOL_Obool))), _u1957))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1953, tc_fun(_u1955, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1953, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1955, tc_HOL_Obool), tc_fun(_u1955, tc_HOL_Obool), _u1953), hAPP(c_COMBC(_u1955, tc_fun(_u1955, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1955))), _u1957)), _u1959)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1964, tc_fun(_u1966, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1964, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1966, tc_HOL_Obool), tc_fun(_u1966, tc_HOL_Obool), _u1964), hAPP(c_COMBC(_u1966, tc_fun(_u1966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1966))), _u1968)), _u1970)) | hBOOL(hAPP(hAPP(c_member(_u1966), _u1970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1964, tc_fun(_u1966, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1964, tc_HOL_Obool))), _u1968))) )).
% 12.28/12.44 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1967), _u1971), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1965, tc_fun(_u1967, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1965, tc_HOL_Obool))), _u1969))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1965, tc_fun(_u1967, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1965, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1967, tc_HOL_Obool), tc_fun(_u1967, tc_HOL_Obool), _u1965), hAPP(c_COMBC(_u1967, tc_fun(_u1967, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1967))), _u1969)), _u1971)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u1972, _u1973, _u1974), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1972, tc_HOL_Obool), _u1975)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u1972, tc_HOL_Obool), tc_fun(_u1973, tc_HOL_Obool)), _u1975), c_Set_Oimage(_u1972, _u1973, _u1974))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1976, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1976, tc_HOL_Obool), tc_HOL_Obool)), _u1977), _u1978)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1976, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1976, tc_HOL_Obool), _u1977)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1976, tc_HOL_Obool), _u1978))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1979, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1979, tc_HOL_Obool), _u1980)), _u1981) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u1979, tc_HOL_Obool), tc_fun(_u1979, tc_HOL_Obool)), _u1980), hAPP(hAPP(c_COMBC(tc_fun(_u1979, tc_HOL_Obool), tc_fun(_u1979, tc_HOL_Obool), tc_fun(_u1979, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1979, tc_HOL_Obool))), _u1981))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1982, tc_HOL_Obool)), _u1983), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1982, tc_HOL_Obool), _u1984)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u1982, tc_HOL_Obool), tc_fun(_u1982, tc_HOL_Obool)), _u1984), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1982, tc_HOL_Obool)), _u1983))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1985) | ( hAPP(c_Set_Oimage(_u1985, _u1985, c_Groups_Ouminus__class_Ouminus(_u1985)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1985, _u1986, _u1987)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1985, hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1987)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1986))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1988) | ( hAPP(c_Set_Oimage(_u1988, _u1988, c_Groups_Ouminus__class_Ouminus(_u1988)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1988, _u1989), _u1990)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1988, hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1990), hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1989))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1991) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1991), hAPP(c_Groups_Ouminus__class_Ouminus(_u1991), _u1992)), _u1992) = c_Orderings_Otop__class_Otop(_u1991)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u1993, _u1994, _u1995), c_Orderings_Otop__class_Otop(tc_fun(_u1993, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u1994, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1994, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1994, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1993, _u1994, _u1995), _u1996))), hAPP(c_Set_Oimage(_u1993, _u1994, _u1995), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1993, tc_HOL_Obool)), _u1996)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u1998, tc_fun(_u1998, tc_HOL_Obool), _u1997), _u1999) != hAPP(c_Set_OPow(_u1998), _u1999)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Least__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Least__mono-1, axiom, ( ~class_Orderings_Oorder(_u2002) | ~class_Orderings_Oorder(_u2003) | ~c_Orderings_Oorder__class_Omono(_u2003, _u2002, _u2004) | ( c_Orderings_Oord__class_OLeast(_u2002, hAPP(hAPP(c_COMBC(_u2002, tc_fun(_u2002, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2002)), hAPP(c_Set_Oimage(_u2003, _u2002, _u2004), _u2005))) = hAPP(_u2004, c_Orderings_Oord__class_OLeast(_u2003, hAPP(hAPP(c_COMBC(_u2003, tc_fun(_u2003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2003)), _u2005)))) | ~hBOOL(hAPP(hAPP(c_member(_u2003), _u2001), _u2005)) | hBOOL(hAPP(hAPP(c_member(_u2003), skolem52(_u2005, _u2004, _u2003, _u2002, _u2001)), _u2005)) )).
% 12.28/12.44 cnf(fact_Least__mono-2, axiom, ( ~class_Orderings_Oorder(_u2002) | ~class_Orderings_Oorder(_u2003) | ~c_Orderings_Oorder__class_Omono(_u2003, _u2002, _u2004) | ( c_Orderings_Oord__class_OLeast(_u2002, hAPP(hAPP(c_COMBC(_u2002, tc_fun(_u2002, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2002)), hAPP(c_Set_Oimage(_u2003, _u2002, _u2004), _u2005))) = hAPP(_u2004, c_Orderings_Oord__class_OLeast(_u2003, hAPP(hAPP(c_COMBC(_u2003, tc_fun(_u2003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2003)), _u2005)))) | ~hBOOL(hAPP(hAPP(c_member(_u2003), _u2001), _u2005)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2003), _u2001), skolem52(_u2005, _u2004, _u2003, _u2002, _u2001))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2006) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2006), _u2007), _u2008) != c_Orderings_Obot__class_Obot(_u2006)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2006), _u2007), _u2008) != c_Orderings_Otop__class_Otop(_u2006)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2006), _u2007) = _u2008) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u2009, _u2009, c_COMBI(_u2009)), _u2010) = _u2010) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_imageE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2013), hAPP(c_Set_Oimage(_u2014, _u2012, _u2015), _u2016))) | ( _u2013 = hAPP(_u2015, skolem53(_u2016, _u2015, _u2014, _u2013))) )).
% 12.28/12.44 cnf(fact_imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2013), hAPP(c_Set_Oimage(_u2014, _u2012, _u2015), _u2016))) | hBOOL(hAPP(hAPP(c_member(_u2014), skolem53(_u2016, _u2015, _u2014, _u2013)), _u2016)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__subsetI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2020, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2018, _u2020, _u2021), _u2019)), _u2022)) | hBOOL(hAPP(hAPP(c_member(_u2018), skolem54(_u2022, _u2021, _u2020, _u2019, _u2018)), _u2019)) )).
% 12.28/12.44 cnf(fact_image__subsetI-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2020, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2018, _u2020, _u2021), _u2019)), _u2022)) | ~hBOOL(hAPP(hAPP(c_member(_u2020), hAPP(_u2021, skolem54(_u2022, _u2021, _u2020, _u2019, _u2018))), _u2022)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2023) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2023, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2023, _u2024, _u2025)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2023), _u2025)) = c_Orderings_Obot__class_Obot(tc_fun(_u2023, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2026) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2026, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2026), _u2027)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2026, _u2027, _u2028)) = c_Orderings_Obot__class_Obot(tc_fun(_u2026, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2029) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2029, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u2029, _u2030, _u2031)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2029), _u2031)) = c_Orderings_Obot__class_Obot(tc_fun(_u2029, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2032) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2032, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2032, _u2033), _u2034)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2032), _u2034)) = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_top1I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2035, tc_HOL_Obool)), _u2036)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2037), _u2038), c_Orderings_Obot__class_Obot(tc_fun(_u2037, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2039, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2039, tc_HOL_Obool))), _u2040)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u2041, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u2041, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u2042) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2043, _u2042)), _u2044) = c_Orderings_Obot__class_Obot(_u2042)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u2045) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2046, _u2045)), _u2047) = c_Orderings_Obot__class_Obot(_u2045)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2048, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2048, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2048, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2049) | ( c_Complete__Lattice_OSup__class_OSup(_u2049, c_Orderings_Obot__class_Obot(tc_fun(_u2049, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u2049)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2054), skolem55(_u2056, _u2054)), _u2056)) | ( _u2056 = c_Orderings_Obot__class_Obot(tc_fun(_u2054, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_all__not__in__conv-2, axiom, ( ( _u2057 != c_Orderings_Obot__class_Obot(tc_fun(_u2055, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2055), _u2051), _u2057)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2062), _u2058), _u2064)) | ( _u2064 != c_Orderings_Obot__class_Obot(tc_fun(_u2062, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_ex__in__conv-2, axiom, ( ( _u2065 = c_Orderings_Obot__class_Obot(tc_fun(_u2063, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2063), skolem56(_u2065, _u2063)), _u2065)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2066), _u2067), c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_equals0D-1, axiom, ( ( _u2068 != c_Orderings_Obot__class_Obot(tc_fun(_u2069, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2069), _u2070), _u2068)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2073, tc_HOL_Obool)), _u2075), c_Orderings_Obot__class_Obot(tc_fun(_u2073, tc_HOL_Obool)))) | ( _u2075 = c_Orderings_Obot__class_Obot(tc_fun(_u2073, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_subset__empty-2, axiom, ( ( _u2076 != c_Orderings_Obot__class_Obot(tc_fun(_u2074, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2074, tc_HOL_Obool)), _u2076), c_Orderings_Obot__class_Obot(tc_fun(_u2074, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_empty__is__image-1, axiom, ( ( _u2087 = c_Orderings_Obot__class_Obot(tc_fun(_u2083, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2081, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u2083, _u2081, _u2085), _u2087)) )).
% 12.28/12.44 cnf(fact_empty__is__image-2, axiom, ( ( _u2088 != c_Orderings_Obot__class_Obot(tc_fun(_u2084, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2082, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u2084, _u2082, _u2086), _u2088)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u2089, _u2090, _u2091), c_Orderings_Obot__class_Obot(tc_fun(_u2089, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2090, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u2096, _u2098, _u2100), _u2102) != c_Orderings_Obot__class_Obot(tc_fun(_u2098, tc_HOL_Obool))) | ( _u2102 = c_Orderings_Obot__class_Obot(tc_fun(_u2096, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_image__is__empty-2, axiom, ( ( _u2103 != c_Orderings_Obot__class_Obot(tc_fun(_u2097, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2097, _u2099, _u2101), _u2103) = c_Orderings_Obot__class_Obot(tc_fun(_u2099, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2104, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2104, tc_HOL_Obool))), _u2105) = _u2105) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2106, tc_HOL_Obool)), _u2107), c_Orderings_Obot__class_Obot(tc_fun(_u2106, tc_HOL_Obool))) = _u2107) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2111, tc_HOL_Obool)), _u2113), _u2115) != c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) | ( _u2113 = c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2111, tc_HOL_Obool)), _u2113), _u2115) != c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) | ( _u2115 = c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_Un__empty-3, axiom, ( ( _u2114 != c_Orderings_Obot__class_Obot(tc_fun(_u2112, tc_HOL_Obool))) | ( _u2116 != c_Orderings_Obot__class_Obot(tc_fun(_u2112, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2112, tc_HOL_Obool)), _u2114), _u2116) = c_Orderings_Obot__class_Obot(tc_fun(_u2112, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2117, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2117, tc_HOL_Obool))), _u2118) = c_Orderings_Obot__class_Obot(tc_fun(_u2117, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2119, tc_HOL_Obool)), _u2120), c_Orderings_Obot__class_Obot(tc_fun(_u2119, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2119, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2128, tc_HOL_Obool)), _u2130), _u2132) != c_Orderings_Obot__class_Obot(tc_fun(_u2128, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2128), _u2122), _u2130)) | ~hBOOL(hAPP(hAPP(c_member(_u2128), _u2121), _u2132)) | ( _u2122 != _u2121) )).
% 12.28/12.44 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2129, tc_HOL_Obool)), _u2131), _u2133) = c_Orderings_Obot__class_Obot(tc_fun(_u2129, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2129), skolem57(_u2133, _u2131, _u2129)), _u2131)) )).
% 12.28/12.44 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2129, tc_HOL_Obool)), _u2131), _u2133) = c_Orderings_Obot__class_Obot(tc_fun(_u2129, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2129), skolem58(_u2133, _u2131, _u2129)), _u2133)) )).
% 12.28/12.44 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2129, tc_HOL_Obool)), _u2131), _u2133) = c_Orderings_Obot__class_Obot(tc_fun(_u2129, tc_HOL_Obool))) | ( skolem57(_u2133, _u2131, _u2129) = skolem58(_u2133, _u2131, _u2129)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2134, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2134, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2134, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2135, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2135, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2135, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u2136, _u2137, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2136), tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u2138, _u2139, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2138), tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u2140), _u2141) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2140, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2142, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2142, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2142, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2143, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2143, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2143, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_monoD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_monoD-1, axiom, ( ~class_Orderings_Oorder(_u2144) | ~class_Orderings_Oorder(_u2145) | ~c_Orderings_Oorder__class_Omono(_u2145, _u2144, _u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), _u2147), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2144), hAPP(_u2146, _u2147)), hAPP(_u2146, _u2148))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2151, tc_HOL_Obool)), _u2153)) | hBOOL(hAPP(hAPP(c_member(_u2151), _u2153), c_Orderings_Obot__class_Obot(tc_fun(_u2151, tc_HOL_Obool)))) )).
% 12.28/12.44 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2152), _u2154), c_Orderings_Obot__class_Obot(tc_fun(_u2152, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2152, tc_HOL_Obool)), _u2154)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u2155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2155), c_Orderings_Obot__class_Obot(_u2155)), _u2156)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2157) | ( _u2158 = c_Orderings_Obot__class_Obot(tc_fun(_u2159, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2159, _u2157), _u2158), hAPP(c_COMBK(_u2157, _u2159), _u2160)) = _u2160) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2167, tc_fun(_u2169, tc_HOL_Obool)), _u2171), _u2173) != c_Orderings_Obot__class_Obot(tc_fun(_u2169, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2167), _u2161), _u2171)) | ( hAPP(_u2173, _u2161) = c_Orderings_Obot__class_Obot(tc_fun(_u2169, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2168, tc_fun(_u2170, tc_HOL_Obool)), _u2172), _u2174) = c_Orderings_Obot__class_Obot(tc_fun(_u2170, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2168), skolem59(_u2174, _u2172, _u2170, _u2168)), _u2172)) )).
% 12.28/12.44 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2168, tc_fun(_u2170, tc_HOL_Obool)), _u2172), _u2174) = c_Orderings_Obot__class_Obot(tc_fun(_u2170, tc_HOL_Obool))) | ( hAPP(_u2174, skolem59(_u2174, _u2172, _u2170, _u2168)) != c_Orderings_Obot__class_Obot(tc_fun(_u2170, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__constant-1, axiom, ( ( _u2179 != c_Orderings_Obot__class_Obot(tc_fun(_u2181, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2181, tc_fun(_u2183, tc_HOL_Obool)), _u2179), hAPP(c_COMBK(tc_fun(_u2183, tc_HOL_Obool), _u2181), _u2185)) = c_Orderings_Obot__class_Obot(tc_fun(_u2183, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_UN__constant-2, axiom, ( ( _u2180 = c_Orderings_Obot__class_Obot(tc_fun(_u2182, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2182, tc_fun(_u2184, tc_HOL_Obool)), _u2180), hAPP(c_COMBK(tc_fun(_u2184, tc_HOL_Obool), _u2182), _u2186)) = _u2186) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2187, tc_fun(_u2188, tc_HOL_Obool)), _u2189), hAPP(c_COMBK(tc_fun(_u2188, tc_HOL_Obool), _u2187), c_Orderings_Obot__class_Obot(tc_fun(_u2188, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2188, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2196, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2198, tc_fun(_u2196, tc_HOL_Obool)), _u2200), _u2202)) | ~hBOOL(hAPP(hAPP(c_member(_u2198), _u2190), _u2200)) | ( hAPP(_u2202, _u2190) = c_Orderings_Obot__class_Obot(tc_fun(_u2196, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2197, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2199, tc_fun(_u2197, tc_HOL_Obool)), _u2201), _u2203)) | hBOOL(hAPP(hAPP(c_member(_u2199), skolem60(_u2203, _u2201, _u2199, _u2197)), _u2201)) )).
% 12.28/12.44 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2197, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2199, tc_fun(_u2197, tc_HOL_Obool)), _u2201), _u2203)) | ( hAPP(_u2203, skolem60(_u2203, _u2201, _u2199, _u2197)) != c_Orderings_Obot__class_Obot(tc_fun(_u2197, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2204) | ( _u2205 = c_Orderings_Obot__class_Obot(tc_fun(_u2206, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2206, _u2204), _u2205), hAPP(c_COMBK(_u2204, _u2206), _u2207)) = _u2207) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2208, tc_fun(_u2209, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2208, tc_HOL_Obool))), _u2210) = c_Orderings_Otop__class_Otop(tc_fun(_u2209, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__constant-1, axiom, ( ( _u2215 != c_Orderings_Obot__class_Obot(tc_fun(_u2217, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2217, tc_fun(_u2219, tc_HOL_Obool)), _u2215), hAPP(c_COMBK(tc_fun(_u2219, tc_HOL_Obool), _u2217), _u2221)) = c_Orderings_Otop__class_Otop(tc_fun(_u2219, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INT__constant-2, axiom, ( ( _u2216 = c_Orderings_Obot__class_Obot(tc_fun(_u2218, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2218, tc_fun(_u2220, tc_HOL_Obool)), _u2216), hAPP(c_COMBK(tc_fun(_u2220, tc_HOL_Obool), _u2218), _u2222)) = _u2222) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2223) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2223), c_Orderings_Obot__class_Obot(_u2223)), _u2224) = _u2224) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2225) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2225), _u2226), c_Orderings_Obot__class_Obot(_u2225)) = _u2226) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2227) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2227), _u2228), _u2229) != c_Orderings_Obot__class_Obot(_u2227)) | ( _u2228 = c_Orderings_Obot__class_Obot(_u2227)) )).
% 12.28/12.44 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2227) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2227), _u2228), _u2229) != c_Orderings_Obot__class_Obot(_u2227)) | ( _u2229 = c_Orderings_Obot__class_Obot(_u2227)) )).
% 12.28/12.44 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2227) | ( _u2228 != c_Orderings_Obot__class_Obot(_u2227)) | ( _u2229 != c_Orderings_Obot__class_Obot(_u2227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2227), _u2228), _u2229) = c_Orderings_Obot__class_Obot(_u2227)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2230) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2230), c_Orderings_Obot__class_Obot(_u2230)), _u2231) = c_Orderings_Obot__class_Obot(_u2230)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2232) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2232), _u2233), c_Orderings_Obot__class_Obot(_u2232)) = c_Orderings_Obot__class_Obot(_u2232)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2234) | ( c_Complete__Lattice_OInf__class_OInf(_u2234, c_Orderings_Otop__class_Otop(tc_fun(_u2234, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u2234)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_strict__mono__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_strict__mono__mono-1, axiom, ( ~class_Orderings_Oorder(_u2235) | ~class_Orderings_Oorder(_u2236) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2236, _u2235, _u2237) | c_Orderings_Oorder__class_Omono(_u2236, _u2235, _u2237) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u2238) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2238, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u2238, _u2239, _u2240)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2238), _u2239), _u2240)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u2238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2238), _u2239), _u2240)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2238, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2238, _u2239, _u2240)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u2241) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2241, _u2242, _u2243) != c_Orderings_Obot__class_Obot(tc_fun(_u2241, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2241), _u2242), _u2243)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u2241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2241), _u2242), _u2243)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2241, _u2242, _u2243) = c_Orderings_Obot__class_Obot(tc_fun(_u2241, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u2244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2244), _u2245), _u2246)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2244, _u2246), _u2245) = c_Orderings_Obot__class_Obot(tc_fun(_u2244, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2247) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2247, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2247, _u2248), _u2249)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2247, _u2249), _u2250)) = c_Orderings_Obot__class_Obot(tc_fun(_u2247, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2253, tc_HOL_Obool)), _u2255), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2253, tc_HOL_Obool)), _u2255))) | ( _u2255 = c_Orderings_Obot__class_Obot(tc_fun(_u2253, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u2256 != c_Orderings_Obot__class_Obot(tc_fun(_u2254, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2254, tc_HOL_Obool)), _u2256), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2254, tc_HOL_Obool)), _u2256))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2257, tc_HOL_Obool)), _u2258), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2257, tc_HOL_Obool)), _u2258)) = c_Orderings_Obot__class_Obot(tc_fun(_u2257, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2259, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2259, tc_HOL_Obool)), _u2260)), _u2260) = c_Orderings_Obot__class_Obot(tc_fun(_u2259, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u2261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2261), _u2262), _u2263)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u2261, _u2263, _u2262) = c_Orderings_Obot__class_Obot(tc_fun(_u2261, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2264) | ( c_Complete__Lattice_OInf__class_OInf(_u2264, c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u2264)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2270, tc_HOL_Obool), _u2272)), _u2274) != c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2270, tc_HOL_Obool)), _u2265), _u2272)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2265), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2271, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2271, tc_HOL_Obool), _u2273)), _u2275) = c_Orderings_Obot__class_Obot(tc_fun(_u2271, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2271, tc_HOL_Obool)), skolem61(_u2275, _u2273, _u2271)), _u2273)) )).
% 12.28/12.44 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2271, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2271, tc_HOL_Obool), _u2273)), _u2275) = c_Orderings_Obot__class_Obot(tc_fun(_u2271, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2271, tc_HOL_Obool)), skolem61(_u2275, _u2273, _u2271)), _u2275) != c_Orderings_Obot__class_Obot(tc_fun(_u2271, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2276, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2276, tc_HOL_Obool))), hAPP(c_Set_OPow(_u2276), _u2277))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u2278) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2278, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2278, _u2279, _u2280)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2278, _u2280, _u2281)) = c_Orderings_Obot__class_Obot(tc_fun(_u2278, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_mono__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_mono__Un-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2282, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool), _u2284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2283, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2283, tc_HOL_Obool)), hAPP(_u2284, _u2285)), hAPP(_u2284, _u2286))), hAPP(_u2284, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2282, tc_HOL_Obool)), _u2285), _u2286)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_mono__Int ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_mono__Int-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2287, tc_HOL_Obool), tc_fun(_u2288, tc_HOL_Obool), _u2289) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2288, tc_HOL_Obool)), hAPP(_u2289, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2287, tc_HOL_Obool)), _u2290), _u2291))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2288, tc_HOL_Obool)), hAPP(_u2289, _u2290)), hAPP(_u2289, _u2291)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u2297 != c_Orderings_Obot__class_Obot(tc_fun(_u2299, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2299, tc_fun(_u2301, tc_HOL_Obool)), _u2297), hAPP(hAPP(c_COMBB(tc_fun(_u2301, tc_HOL_Obool), tc_fun(_u2301, tc_HOL_Obool), _u2299), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2301, tc_HOL_Obool)), _u2303)), _u2305)) = c_Orderings_Obot__class_Obot(tc_fun(_u2301, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u2298 = c_Orderings_Obot__class_Obot(tc_fun(_u2300, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2300, tc_fun(_u2302, tc_HOL_Obool)), _u2298), hAPP(hAPP(c_COMBB(tc_fun(_u2302, tc_HOL_Obool), tc_fun(_u2302, tc_HOL_Obool), _u2300), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2302, tc_HOL_Obool)), _u2304)), _u2306)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2302, tc_HOL_Obool)), _u2304), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2300, tc_fun(_u2302, tc_HOL_Obool)), _u2298), _u2306))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u2312 != c_Orderings_Obot__class_Obot(tc_fun(_u2314, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2314, tc_fun(_u2316, tc_HOL_Obool)), _u2312), hAPP(hAPP(c_COMBC(_u2314, tc_fun(_u2316, tc_HOL_Obool), tc_fun(_u2316, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2316, tc_HOL_Obool), tc_fun(tc_fun(_u2316, tc_HOL_Obool), tc_fun(_u2316, tc_HOL_Obool)), _u2314), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2316, tc_HOL_Obool))), _u2318)), _u2320)) = c_Orderings_Obot__class_Obot(tc_fun(_u2316, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u2313 = c_Orderings_Obot__class_Obot(tc_fun(_u2315, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2315, tc_fun(_u2317, tc_HOL_Obool)), _u2313), hAPP(hAPP(c_COMBC(_u2315, tc_fun(_u2317, tc_HOL_Obool), tc_fun(_u2317, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2317, tc_HOL_Obool), tc_fun(tc_fun(_u2317, tc_HOL_Obool), tc_fun(_u2317, tc_HOL_Obool)), _u2315), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2317, tc_HOL_Obool))), _u2319)), _u2321)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2317, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2315, tc_fun(_u2317, tc_HOL_Obool)), _u2313), _u2319)), _u2321)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u2327 != c_Orderings_Obot__class_Obot(tc_fun(_u2329, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2331, tc_HOL_Obool)), _u2333), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2329, tc_fun(_u2331, tc_HOL_Obool)), _u2327), _u2335)) = _u2333) )).
% 12.28/12.44 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u2328 = c_Orderings_Obot__class_Obot(tc_fun(_u2330, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2332, tc_HOL_Obool)), _u2334), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2330, tc_fun(_u2332, tc_HOL_Obool)), _u2328), _u2336)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2330, tc_fun(_u2332, tc_HOL_Obool)), _u2328), hAPP(hAPP(c_COMBB(tc_fun(_u2332, tc_HOL_Obool), tc_fun(_u2332, tc_HOL_Obool), _u2330), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2332, tc_HOL_Obool)), _u2334)), _u2336))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u2342 != c_Orderings_Obot__class_Obot(tc_fun(_u2344, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2346, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2344, tc_fun(_u2346, tc_HOL_Obool)), _u2342), _u2348)), _u2350) = _u2350) )).
% 12.28/12.44 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u2343 = c_Orderings_Obot__class_Obot(tc_fun(_u2345, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2347, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2345, tc_fun(_u2347, tc_HOL_Obool)), _u2343), _u2349)), _u2351) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2345, tc_fun(_u2347, tc_HOL_Obool)), _u2343), hAPP(hAPP(c_COMBC(_u2345, tc_fun(_u2347, tc_HOL_Obool), tc_fun(_u2347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2347, tc_HOL_Obool), tc_fun(tc_fun(_u2347, tc_HOL_Obool), tc_fun(_u2347, tc_HOL_Obool)), _u2345), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2347, tc_HOL_Obool))), _u2349)), _u2351))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u2357 != c_Orderings_Obot__class_Obot(tc_fun(_u2359, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2361, tc_HOL_Obool)), _u2363), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2359, tc_fun(_u2361, tc_HOL_Obool)), _u2357), _u2365)) = _u2363) )).
% 12.28/12.44 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u2358 = c_Orderings_Obot__class_Obot(tc_fun(_u2360, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2362, tc_HOL_Obool)), _u2364), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2360, tc_fun(_u2362, tc_HOL_Obool)), _u2358), _u2366)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2360, tc_fun(_u2362, tc_HOL_Obool)), _u2358), hAPP(hAPP(c_COMBB(tc_fun(_u2362, tc_HOL_Obool), tc_fun(_u2362, tc_HOL_Obool), _u2360), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2362, tc_HOL_Obool)), _u2364)), _u2366))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u2372 != c_Orderings_Obot__class_Obot(tc_fun(_u2374, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2374, tc_fun(_u2376, tc_HOL_Obool)), _u2372), _u2378)), _u2380) = _u2380) )).
% 12.28/12.44 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u2373 = c_Orderings_Obot__class_Obot(tc_fun(_u2375, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2377, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2375, tc_fun(_u2377, tc_HOL_Obool)), _u2373), _u2379)), _u2381) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2375, tc_fun(_u2377, tc_HOL_Obool)), _u2373), hAPP(hAPP(c_COMBC(_u2375, tc_fun(_u2377, tc_HOL_Obool), tc_fun(_u2377, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2377, tc_HOL_Obool), tc_fun(tc_fun(_u2377, tc_HOL_Obool), tc_fun(_u2377, tc_HOL_Obool)), _u2375), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2377, tc_HOL_Obool))), _u2379)), _u2381))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u2387 != c_Orderings_Obot__class_Obot(tc_fun(_u2389, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2389, tc_fun(_u2391, tc_HOL_Obool)), _u2387), hAPP(hAPP(c_COMBC(_u2389, tc_fun(_u2391, tc_HOL_Obool), tc_fun(_u2391, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2391, tc_HOL_Obool), tc_fun(tc_fun(_u2391, tc_HOL_Obool), tc_fun(_u2391, tc_HOL_Obool)), _u2389), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2391, tc_HOL_Obool))), _u2393)), _u2395)) = c_Orderings_Otop__class_Otop(tc_fun(_u2391, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u2388 = c_Orderings_Obot__class_Obot(tc_fun(_u2390, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2390, tc_fun(_u2392, tc_HOL_Obool)), _u2388), hAPP(hAPP(c_COMBC(_u2390, tc_fun(_u2392, tc_HOL_Obool), tc_fun(_u2392, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2392, tc_HOL_Obool), tc_fun(tc_fun(_u2392, tc_HOL_Obool), tc_fun(_u2392, tc_HOL_Obool)), _u2390), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool))), _u2394)), _u2396)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2390, tc_fun(_u2392, tc_HOL_Obool)), _u2388), _u2394)), _u2396)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u2402 != c_Orderings_Obot__class_Obot(tc_fun(_u2404, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2404, tc_fun(_u2406, tc_HOL_Obool)), _u2402), hAPP(hAPP(c_COMBB(tc_fun(_u2406, tc_HOL_Obool), tc_fun(_u2406, tc_HOL_Obool), _u2404), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2406, tc_HOL_Obool)), _u2408)), _u2410)) = c_Orderings_Otop__class_Otop(tc_fun(_u2406, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u2403 = c_Orderings_Obot__class_Obot(tc_fun(_u2405, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2405, tc_fun(_u2407, tc_HOL_Obool)), _u2403), hAPP(hAPP(c_COMBB(tc_fun(_u2407, tc_HOL_Obool), tc_fun(_u2407, tc_HOL_Obool), _u2405), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2407, tc_HOL_Obool)), _u2409)), _u2411)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2407, tc_HOL_Obool)), _u2409), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2405, tc_fun(_u2407, tc_HOL_Obool)), _u2403), _u2411))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_mono__sup ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_mono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u2412) | ~class_Lattices_Osemilattice__sup(_u2413) | ~c_Orderings_Oorder__class_Omono(_u2413, _u2412, _u2414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2412), hAPP(_u2414, _u2415)), hAPP(_u2414, _u2416))), hAPP(_u2414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2413), _u2415), _u2416)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_mono__inf ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_mono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2417) | ~class_Lattices_Osemilattice__inf(_u2418) | ~c_Orderings_Oorder__class_Omono(_u2418, _u2417, _u2419) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2417), hAPP(_u2419, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2418), _u2420), _u2421))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2417), hAPP(_u2419, _u2420)), hAPP(_u2419, _u2421)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2422) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2422), _u2423), hAPP(c_Groups_Ouminus__class_Ouminus(_u2422), _u2423)) = c_Orderings_Obot__class_Obot(_u2422)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2424) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2424), hAPP(c_Groups_Ouminus__class_Ouminus(_u2424), _u2425)), _u2425) = c_Orderings_Obot__class_Obot(_u2424)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2426) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2426), c_Orderings_Otop__class_Otop(_u2426)) = c_Orderings_Obot__class_Obot(_u2426)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2427) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2427), c_Orderings_Obot__class_Obot(_u2427)) = c_Orderings_Otop__class_Otop(_u2427)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2431, tc_HOL_Obool)), _u2433), _u2435) != c_Orderings_Obot__class_Obot(tc_fun(_u2431, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2431, tc_HOL_Obool)), _u2433), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2431, tc_HOL_Obool)), _u2435))) )).
% 12.28/12.44 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2432, tc_HOL_Obool)), _u2434), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2432, tc_HOL_Obool)), _u2436))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2432, tc_HOL_Obool)), _u2434), _u2436) = c_Orderings_Obot__class_Obot(tc_fun(_u2432, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u2437) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2437, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2437, _u2438), _u2439)), c_SetInterval_Oord__class_OatLeastAtMost(_u2437, _u2439, _u2440)) = c_Orderings_Obot__class_Obot(tc_fun(_u2437, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2441) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2441, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2441), _u2442)), c_SetInterval_Oord__class_OatLeastAtMost(_u2441, _u2442, _u2443)) = c_Orderings_Obot__class_Obot(tc_fun(_u2441, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2444) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2444, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2444), _u2445)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2444, _u2445), _u2446)) = c_Orderings_Obot__class_Obot(tc_fun(_u2444, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u2447) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2447, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u2447, _u2448, _u2449)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2447, _u2449, _u2450)) = c_Orderings_Obot__class_Obot(tc_fun(_u2447, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2451), _u2452), c_Orderings_Otop__class_Otop(tc_fun(_u2451, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u2453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), _u2454), _u2455)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2453, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2453), _u2454), c_Orderings_Obot__class_Obot(tc_fun(_u2453, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2453, _u2454, _u2455)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2453, _u2454, _u2455)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u2456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2456), _u2457), _u2458)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2456, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2456, _u2457), _u2458)), hAPP(hAPP(c_Set_Oinsert(_u2456), _u2458), c_Orderings_Obot__class_Obot(tc_fun(_u2456, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u2456, _u2457, _u2458)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_coinduct3__mono__lemma ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_coinduct3__mono__lemma-1, axiom, ( ~class_Orderings_Oorder(_u2459) | ~c_Orderings_Oorder__class_Omono(_u2459, tc_fun(_u2460, tc_HOL_Obool), _u2461) | c_Orderings_Oorder__class_Omono(_u2459, tc_fun(_u2460, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2459, tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2460, tc_HOL_Obool), tc_fun(tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), _u2459), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2460, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u2459, tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2460, tc_HOL_Obool), tc_fun(tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), _u2459), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2460, tc_HOL_Obool))), _u2461)), _u2462))), _u2463)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2464) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2464, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2464, _u2465, _u2466)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2464), _u2466)) = c_Orderings_Obot__class_Obot(tc_fun(_u2464, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u2467) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2467, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2467), _u2468)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2467, _u2468, _u2469)) = c_Orderings_Obot__class_Obot(tc_fun(_u2467, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u2470) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2470, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2470, _u2471, _u2472)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2470, _u2472, _u2473)) = c_Orderings_Obot__class_Obot(tc_fun(_u2470, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u2474) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2474, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2474), _u2475), c_Orderings_Obot__class_Obot(tc_fun(_u2474, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2474), _u2475)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2474), _u2475)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u2481 != c_Orderings_Obot__class_Obot(tc_fun(_u2483, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2483, tc_fun(_u2485, tc_HOL_Obool)), _u2481), hAPP(hAPP(c_COMBB(tc_fun(_u2485, tc_HOL_Obool), tc_fun(_u2485, tc_HOL_Obool), _u2483), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2485, tc_HOL_Obool)), _u2487)), _u2489)) = c_Orderings_Otop__class_Otop(tc_fun(_u2485, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u2482 = c_Orderings_Obot__class_Obot(tc_fun(_u2484, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2484, tc_fun(_u2486, tc_HOL_Obool)), _u2482), hAPP(hAPP(c_COMBB(tc_fun(_u2486, tc_HOL_Obool), tc_fun(_u2486, tc_HOL_Obool), _u2484), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2486, tc_HOL_Obool)), _u2488)), _u2490)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2486, tc_HOL_Obool)), _u2488), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2484, tc_fun(_u2486, tc_HOL_Obool)), _u2482), _u2490))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u2491) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2491, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2491), _u2492)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2491), _u2492)) = hAPP(hAPP(c_Set_Oinsert(_u2491), _u2492), c_Orderings_Obot__class_Obot(tc_fun(_u2491, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2493), _u2494), hAPP(hAPP(c_Set_Oinsert(_u2493), _u2496), _u2495))) | ~hBOOL(hAPP(hAPP(c_member(_u2493), _u2494), _u2495)) )).
% 12.28/12.44 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2493), _u2494), hAPP(hAPP(c_Set_Oinsert(_u2493), _u2496), _u2495))) | ( _u2494 != _u2496) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insertE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2497), _u2498), hAPP(hAPP(c_Set_Oinsert(_u2497), _u2499), _u2500))) | ( _u2498 = _u2499) | hBOOL(hAPP(hAPP(c_member(_u2497), _u2498), _u2500)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2501, tc_HOL_Obool)), _u2503), _u2504))) | hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), _u2503)) )).
% 12.28/12.44 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2501, tc_HOL_Obool)), _u2503), _u2504))) | ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), _u2504)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2505), _u2506), _u2507)) | hBOOL(hAPP(hAPP(c_member(_u2505), _u2506), _u2508)) | hBOOL(hAPP(hAPP(c_member(_u2505), _u2506), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2505, tc_HOL_Obool)), _u2507), _u2508))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2509, tc_HOL_Obool)), _u2510), hAPP(hAPP(c_Set_Oinsert(_u2509), _u2511), _u2512)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2509, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2509, tc_HOL_Obool)), _u2510), _u2512)), hAPP(hAPP(c_Set_Oinsert(_u2509), _u2511), c_Orderings_Obot__class_Obot(tc_fun(_u2509, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool)), _u2514), hAPP(hAPP(c_Set_Oinsert(_u2513), _u2515), _u2516)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool)), _u2514), hAPP(hAPP(c_Set_Oinsert(_u2513), _u2515), c_Orderings_Obot__class_Obot(tc_fun(_u2513, tc_HOL_Obool))))), _u2516)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2517), _u2518), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2517, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2517), _u2518), c_Orderings_Obot__class_Obot(tc_fun(_u2517, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u2517), _u2518), _u2519)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2524), _u2526), _u2528)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2524, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2524), _u2526), _u2530)), _u2528) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2524, tc_HOL_Obool)), _u2530), _u2528)) )).
% 12.28/12.44 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2525), _u2527), _u2529)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2525, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2525), _u2527), _u2531)), _u2529) = hAPP(hAPP(c_Set_Oinsert(_u2525), _u2527), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2525, tc_HOL_Obool)), _u2531), _u2529))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2532), _u2533), _u2534)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2532, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2532), _u2533), _u2535)), _u2534) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2532, tc_HOL_Obool)), _u2535), _u2534)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2536) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2537), _u2538) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2539), _u2540)) | ( _u2537 != _u2538) | ( _u2539 = _u2540) )).
% 12.28/12.44 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u2536) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2537), _u2538) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2539), _u2540)) | ( _u2539 != _u2540) | ( _u2537 = _u2538) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u2541) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2542, _u2541)), _u2543), _u2544), _u2545) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2541), hAPP(_u2543, _u2545)), hAPP(_u2544, _u2545))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u2546) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2547, _u2546)), _u2548), _u2549), _u2550) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2546), hAPP(_u2548, _u2550)), hAPP(_u2549, _u2550))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__code-1, axiom, ( ( _u2557 = _u2561) | hBOOL(hAPP(_u2559, _u2561)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u2555), _u2557), _u2559), _u2561)) )).
% 12.28/12.44 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u2556), _u2558), _u2560), _u2562)) | ( _u2558 != _u2562) )).
% 12.28/12.44 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u2556), _u2558), _u2560), _u2562)) | ~hBOOL(hAPP(_u2560, _u2562)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2563, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2563, tc_HOL_Obool)), _u2564), _u2565)), _u2565) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2563, tc_HOL_Obool)), _u2564), _u2565)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2566), _u2567), hAPP(hAPP(c_Set_Oinsert(_u2566), _u2568), _u2569)) = hAPP(hAPP(c_Set_Oinsert(_u2566), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2566), _u2567), _u2569))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2570), _u2571), hAPP(hAPP(c_Set_Oinsert(_u2570), _u2571), _u2572)) = hAPP(hAPP(c_Set_Oinsert(_u2570), _u2571), _u2572)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2573), _u2574), _u2575)) | ( hAPP(hAPP(c_Set_Oinsert(_u2573), _u2574), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2573, tc_HOL_Obool)), _u2575), hAPP(hAPP(c_Set_Oinsert(_u2573), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2573, tc_HOL_Obool))))) = _u2575) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2576), _u2577), _u2578)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2576, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2576), _u2577), _u2578)), hAPP(hAPP(c_Set_Oinsert(_u2576), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2576, tc_HOL_Obool)))) = _u2578) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2579) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2580), _u2581) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2582), _u2583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2580), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2582), _u2583)) )).
% 12.28/12.44 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u2579) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2580), _u2581) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2582), _u2583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2582), _u2583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2580), _u2581)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u2584) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2584, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2584), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2584, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u2584), _u2585)) = hAPP(hAPP(c_Set_Oinsert(_u2584), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2584, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u2586) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2586), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2586), _u2587), _u2588)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2586), _u2588), _u2587)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2589), _u2590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2589, tc_HOL_Obool)), _u2591), _u2592))) | ~hBOOL(hAPP(hAPP(c_member(_u2589), _u2590), _u2592)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2593), _u2594), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2593, tc_HOL_Obool)), _u2595), _u2596))) | hBOOL(hAPP(hAPP(c_member(_u2593), _u2594), _u2595)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2601, tc_HOL_Obool)), _u2605), _u2607))) | hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), _u2605)) )).
% 12.28/12.44 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2601, tc_HOL_Obool)), _u2605), _u2607))) | ~hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), _u2607)) )).
% 12.28/12.44 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2602), _u2604), _u2606)) | hBOOL(hAPP(hAPP(c_member(_u2602), _u2604), _u2608)) | hBOOL(hAPP(hAPP(c_member(_u2602), _u2604), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2602, tc_HOL_Obool)), _u2606), _u2608))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2609), _u2610), _u2611)) | ( hAPP(hAPP(c_Set_Oinsert(_u2609), _u2610), _u2611) = _u2611) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2612), _u2613), _u2614)) | hBOOL(hAPP(hAPP(c_member(_u2612), _u2613), hAPP(hAPP(c_Set_Oinsert(_u2612), _u2615), _u2614))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2618)) | hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2619)) | ( hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2618) != hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2619)) | ( _u2618 = _u2619) )).
% 12.28/12.44 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2618)) | hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2619)) | ( _u2618 != _u2619) | ( hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2618) = hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2619)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2624), _u2626), hAPP(hAPP(c_Set_Oinsert(_u2624), _u2628), _u2630))) | ( _u2626 = _u2628) | hBOOL(hAPP(hAPP(c_member(_u2624), _u2626), _u2630)) )).
% 12.28/12.44 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2625), _u2627), hAPP(hAPP(c_Set_Oinsert(_u2625), _u2629), _u2631))) | ( _u2627 != _u2629) )).
% 12.28/12.44 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2625), _u2627), hAPP(hAPP(c_Set_Oinsert(_u2625), _u2629), _u2631))) | ~hBOOL(hAPP(hAPP(c_member(_u2625), _u2627), _u2631)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2632), _u2633), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), _u2634))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), _u2636) = c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2637, tc_HOL_Obool)), _u2638), c_Orderings_Obot__class_Obot(tc_fun(_u2637, tc_HOL_Obool))) = _u2638) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2639, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2639, tc_HOL_Obool))), _u2640) = c_Orderings_Obot__class_Obot(tc_fun(_u2639, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_singleton__inject-1, axiom, ( ( _u2642 = _u2643) | ( hAPP(hAPP(c_Set_Oinsert(_u2641), _u2642), c_Orderings_Obot__class_Obot(tc_fun(_u2641, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u2641), _u2643), c_Orderings_Obot__class_Obot(tc_fun(_u2641, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2651 = _u2655) | ( _u2651 = _u2657) )).
% 12.28/12.44 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2651 = _u2655) | ( _u2653 = _u2655) )).
% 12.28/12.44 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2653 = _u2657) | ( _u2651 = _u2657) )).
% 12.28/12.44 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2653 = _u2657) | ( _u2653 = _u2655) )).
% 12.28/12.44 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2650), _u2652), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2654), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u2650), _u2656), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2658), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool))))) | ( _u2652 != _u2656) | ( _u2654 != _u2658) )).
% 12.28/12.44 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2650), _u2652), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2654), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u2650), _u2656), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2658), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool))))) | ( _u2652 != _u2658) | ( _u2654 != _u2656) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2659), _u2660), _u2661) != c_Orderings_Obot__class_Obot(tc_fun(_u2659, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2662, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u2662), _u2663), _u2664)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2665, tc_HOL_Obool)), _u2666), _u2667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2665, tc_HOL_Obool)), _u2667), _u2668)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2668), _u2666)) = _u2666) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2669, tc_HOL_Obool)), _u2672), _u2673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2669, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2669, tc_HOL_Obool)), _u2671), _u2672))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2674, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2674, tc_HOL_Obool)), _u2675), _u2676)), _u2675)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2679)), _u2680) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2677, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2680)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), _u2679), _u2680))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2681, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), _u2682), _u2683)), _u2683) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2681, tc_HOL_Obool)), _u2682), _u2683)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2684, tc_HOL_Obool)), _u2685), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2684, tc_HOL_Obool)), _u2686), _u2685)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2684, tc_HOL_Obool)), _u2685), _u2686)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2687, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2687, tc_HOL_Obool)), _u2688), _u2689)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2687, tc_HOL_Obool)), _u2690), _u2689)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2687, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2687, tc_HOL_Obool)), _u2688), _u2689)), _u2690)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2691, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2691, tc_HOL_Obool)), _u2692), _u2693)), _u2694) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2691, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2691, tc_HOL_Obool)), _u2692), _u2694)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2691, tc_HOL_Obool)), _u2693), _u2694))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2695, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2695, tc_HOL_Obool)), _u2696), _u2697)), _u2698) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2695, tc_HOL_Obool)), _u2696), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2695, tc_HOL_Obool)), _u2697), _u2698))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2699, tc_HOL_Obool)), _u2700), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2699, tc_HOL_Obool)), _u2701), _u2702)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2699, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2699, tc_HOL_Obool)), _u2700), _u2701)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2699, tc_HOL_Obool)), _u2700), _u2702))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2703, tc_HOL_Obool)), _u2704), _u2705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2703, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2703), _u2706), _u2704)), hAPP(hAPP(c_Set_Oinsert(_u2703), _u2706), _u2705))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2707, tc_HOL_Obool)), _u2708), _u2709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2710), _u2709))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2711, tc_HOL_Obool)), _u2712), hAPP(hAPP(c_Set_Oinsert(_u2711), _u2713), _u2712))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u2714, _u2715, _u2716), hAPP(hAPP(c_Set_Oinsert(_u2714), _u2717), _u2718)) = hAPP(hAPP(c_Set_Oinsert(_u2715), hAPP(_u2716, _u2717)), hAPP(c_Set_Oimage(_u2714, _u2715, _u2716), _u2718))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2719, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2719), _u2720), _u2721)), _u2722) = hAPP(hAPP(c_Set_Oinsert(_u2719), _u2720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2722))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2723, tc_HOL_Obool)), _u2724), hAPP(hAPP(c_Set_Oinsert(_u2723), _u2725), _u2726)) = hAPP(hAPP(c_Set_Oinsert(_u2723), _u2725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2723, tc_HOL_Obool)), _u2724), _u2726))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2727), _u2728), _u2729)), hAPP(hAPP(c_Set_Oinsert(_u2727), _u2728), _u2730)) = hAPP(hAPP(c_Set_Oinsert(_u2727), _u2728), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), _u2729), _u2730))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u2731, _u2732, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u2731)), _u2733), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2731), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u2731, _u2732, _u2734) | c_Hoare__Mirabelle_Ohoare__derivs(_u2731, _u2732, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u2731)), _u2733), _u2734)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), _u2741), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2743), _u2745))) | ~hBOOL(hAPP(hAPP(c_member(_u2739), _u2743), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2739, tc_HOL_Obool)), _u2741), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2743), c_Orderings_Obot__class_Obot(tc_fun(_u2739, tc_HOL_Obool))))), _u2745)) )).
% 12.28/12.44 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), _u2741), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2743), _u2745))) | hBOOL(hAPP(hAPP(c_member(_u2739), _u2743), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), _u2741), _u2745)) )).
% 12.28/12.44 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), _u2746))) | hBOOL(hAPP(hAPP(c_member(_u2740), _u2744), _u2742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), _u2746)) )).
% 12.28/12.44 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), _u2746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), c_Orderings_Obot__class_Obot(tc_fun(_u2740, tc_HOL_Obool))))), _u2746)) | ~hBOOL(hAPP(hAPP(c_member(_u2740), _u2744), _u2742)) )).
% 12.28/12.44 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), _u2746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), c_Orderings_Obot__class_Obot(tc_fun(_u2740, tc_HOL_Obool))))), _u2746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), _u2746)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2747, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2747, tc_HOL_Obool)), _u2748), hAPP(hAPP(c_Set_Oinsert(_u2747), _u2749), c_Orderings_Obot__class_Obot(tc_fun(_u2747, tc_HOL_Obool))))), _u2750)) | ~hBOOL(hAPP(hAPP(c_member(_u2747), _u2749), _u2748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2747, tc_HOL_Obool)), _u2748), hAPP(hAPP(c_Set_Oinsert(_u2747), _u2749), _u2750))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2751, tc_fun(_u2752, tc_HOL_Obool)), _u2753), hAPP(hAPP(c_COMBC(_u2751, tc_fun(_u2752, tc_HOL_Obool), tc_fun(_u2752, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2752, tc_HOL_Obool), tc_fun(tc_fun(_u2752, tc_HOL_Obool), tc_fun(_u2752, tc_HOL_Obool)), _u2751), c_Groups_Ominus__class_Ominus(tc_fun(_u2752, tc_HOL_Obool))), _u2754)), _u2755)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2752, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2751, tc_fun(_u2752, tc_HOL_Obool)), _u2753), _u2754)), _u2755)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2756, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2757, tc_fun(_u2756, tc_HOL_Obool)), _u2758), _u2759)), _u2760) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2757, tc_fun(_u2756, tc_HOL_Obool)), _u2758), hAPP(hAPP(c_COMBC(_u2757, tc_fun(_u2756, tc_HOL_Obool), tc_fun(_u2756, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2756, tc_HOL_Obool), tc_fun(tc_fun(_u2756, tc_HOL_Obool), tc_fun(_u2756, tc_HOL_Obool)), _u2757), c_Groups_Ominus__class_Ominus(tc_fun(_u2756, tc_HOL_Obool))), _u2759)), _u2760))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2761, tc_fun(_u2762, tc_HOL_Obool)), _u2763), hAPP(hAPP(c_COMBB(tc_fun(_u2762, tc_HOL_Obool), tc_fun(_u2762, tc_HOL_Obool), _u2761), hAPP(c_Set_Oinsert(_u2762), _u2764)), _u2765)) = hAPP(hAPP(c_Set_Oinsert(_u2762), _u2764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2761, tc_fun(_u2762, tc_HOL_Obool)), _u2763), _u2765))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2766), _u2767), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2768, tc_fun(_u2766, tc_HOL_Obool)), _u2769), _u2770)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2768, tc_fun(_u2766, tc_HOL_Obool)), _u2769), hAPP(hAPP(c_COMBB(tc_fun(_u2766, tc_HOL_Obool), tc_fun(_u2766, tc_HOL_Obool), _u2768), hAPP(c_Set_Oinsert(_u2766), _u2767)), _u2770))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2771) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2771), _u2772), _u2773) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2771), _u2772), hAPP(c_Groups_Ouminus__class_Ouminus(_u2771), _u2773))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_singletonE-1, axiom, ( ( _u2775 = _u2776) | ~hBOOL(hAPP(hAPP(c_member(_u2774), _u2775), hAPP(hAPP(c_Set_Oinsert(_u2774), _u2776), c_Orderings_Obot__class_Obot(tc_fun(_u2774, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_singleton__iff-1, axiom, ( ( _u2782 = _u2784) | ~hBOOL(hAPP(hAPP(c_member(_u2780), _u2782), hAPP(hAPP(c_Set_Oinsert(_u2780), _u2784), c_Orderings_Obot__class_Obot(tc_fun(_u2780, tc_HOL_Obool))))) )).
% 12.28/12.44 cnf(fact_singleton__iff-2, axiom, ( ( _u2783 != _u2785) | hBOOL(hAPP(hAPP(c_member(_u2781), _u2783), hAPP(hAPP(c_Set_Oinsert(_u2781), _u2785), c_Orderings_Obot__class_Obot(tc_fun(_u2781, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2790), _u2792), _u2794)), _u2796)) | hBOOL(hAPP(hAPP(c_member(_u2790), _u2792), _u2796)) )).
% 12.28/12.44 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2790), _u2792), _u2794)), _u2796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), _u2794), _u2796)) )).
% 12.28/12.44 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2791), _u2793), _u2797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2791, tc_HOL_Obool)), _u2795), _u2797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2791, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2791), _u2793), _u2795)), _u2797)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2798), _u2799), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), hAPP(hAPP(c_Set_Oinsert(_u2798), _u2799), _u2801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), _u2801)) )).
% 12.28/12.44 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2798), _u2799), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), _u2801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), hAPP(hAPP(c_Set_Oinsert(_u2798), _u2799), _u2801))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2802), _u2803), _u2804)) | ( hAPP(hAPP(c_Set_Oinsert(_u2805), hAPP(_u2806, _u2803)), hAPP(c_Set_Oimage(_u2802, _u2805, _u2806), _u2804)) = hAPP(c_Set_Oimage(_u2802, _u2805, _u2806), _u2804)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2807, tc_HOL_Obool)), _u2808), c_Orderings_Otop__class_Otop(tc_fun(_u2807, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2807, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2809), _u2810), _u2811)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2809, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2809), _u2810), _u2812)), _u2811) = hAPP(hAPP(c_Set_Oinsert(_u2809), _u2810), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2809, tc_HOL_Obool)), _u2812), _u2811))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2813), _u2814), _u2815)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2813, tc_HOL_Obool)), _u2815), hAPP(hAPP(c_Set_Oinsert(_u2813), _u2814), _u2816)) = hAPP(hAPP(c_Set_Oinsert(_u2813), _u2814), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2813, tc_HOL_Obool)), _u2815), _u2816))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2817), _u2818), _u2819)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2817, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2817), _u2818), _u2820)), _u2819) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2817, tc_HOL_Obool)), _u2820), _u2819)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2821), _u2822), _u2823)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2821, tc_HOL_Obool)), _u2823), hAPP(hAPP(c_Set_Oinsert(_u2821), _u2822), _u2824)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2821, tc_HOL_Obool)), _u2823), _u2824)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2829), _u2831), _u2833)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2829, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2829), _u2831), _u2835)), _u2833) = hAPP(hAPP(c_Set_Oinsert(_u2829), _u2831), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2829, tc_HOL_Obool)), _u2835), _u2833))) )).
% 12.28/12.44 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2830), _u2832), _u2834)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2830, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2830), _u2832), _u2836)), _u2834) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2830, tc_HOL_Obool)), _u2836), _u2834)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2841), _u2843), _u2845)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2841, tc_HOL_Obool)), _u2845), hAPP(hAPP(c_Set_Oinsert(_u2841), _u2843), _u2847)) = hAPP(hAPP(c_Set_Oinsert(_u2841), _u2843), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2841, tc_HOL_Obool)), _u2845), _u2847))) )).
% 12.28/12.44 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2842), _u2844), _u2846)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2842, tc_HOL_Obool)), _u2846), hAPP(hAPP(c_Set_Oinsert(_u2842), _u2844), _u2848)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2842, tc_HOL_Obool)), _u2846), _u2848)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2849, tc_HOL_Obool)), _u2850), _u2851) != c_Orderings_Obot__class_Obot(tc_fun(_u2849, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2849, tc_HOL_Obool)), _u2850), _u2851) = _u2850) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2852, tc_HOL_Obool)), _u2853), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2852, tc_HOL_Obool)), _u2854), _u2853)) = c_Orderings_Obot__class_Obot(tc_fun(_u2852, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2855, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2855, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2856, _u2855, _u2857), _u2858)), hAPP(c_Set_Oimage(_u2856, _u2855, _u2857), _u2859))), hAPP(c_Set_Oimage(_u2856, _u2855, _u2857), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2856, tc_HOL_Obool)), _u2858), _u2859)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2860, tc_HOL_Obool)), _u2861), hAPP(hAPP(c_Set_Oinsert(_u2860), _u2862), c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool))))) | ( _u2861 = c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool))) | ( _u2861 = hAPP(hAPP(c_Set_Oinsert(_u2860), _u2862), c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2867, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2867, tc_HOL_Obool)), _u2869), _u2871)), _u2873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2867, tc_HOL_Obool)), _u2869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2867, tc_HOL_Obool)), _u2871), _u2873))) )).
% 12.28/12.44 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2868, tc_HOL_Obool)), _u2870), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2868, tc_HOL_Obool)), _u2872), _u2874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2868, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2868, tc_HOL_Obool)), _u2870), _u2872)), _u2874)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2875, tc_HOL_Obool)), _u2876), _u2877)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2875, tc_HOL_Obool)), _u2876), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2875, tc_HOL_Obool)), _u2877), _u2876)) = _u2877) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u2878), _u2879), _u2880) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2878, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2878), _u2879), c_Orderings_Obot__class_Obot(tc_fun(_u2878, tc_HOL_Obool)))), _u2880)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2881, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2881, tc_HOL_Obool)), _u2882), _u2883)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2881, tc_HOL_Obool)), _u2882), _u2883)) = _u2882) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2884, tc_HOL_Obool)), _u2885), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2884, tc_HOL_Obool)), _u2886), _u2887)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2884, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2884, tc_HOL_Obool)), _u2885), _u2886)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2884, tc_HOL_Obool)), _u2885), _u2887))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2888, tc_HOL_Obool)), _u2889), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2888, tc_HOL_Obool)), _u2890), _u2891)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2888, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2888, tc_HOL_Obool)), _u2889), _u2890)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2888, tc_HOL_Obool)), _u2889), _u2891))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u2892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2892), _u2893), _u2894)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2892, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2892, _u2893), _u2895)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2892, _u2893), _u2894)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2892, _u2894), _u2895)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u2896) | ( _u2897 != _u2898) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2896, _u2897, _u2898) = hAPP(hAPP(c_Set_Oinsert(_u2896), _u2897), c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u2899) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2899, _u2900, _u2901) != hAPP(hAPP(c_Set_Oinsert(_u2899), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2899, tc_HOL_Obool)))) | ( _u2900 = _u2901) )).
% 12.28/12.44 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u2899) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2899, _u2900, _u2901) != hAPP(hAPP(c_Set_Oinsert(_u2899), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2899, tc_HOL_Obool)))) | ( _u2901 = _u2902) )).
% 12.28/12.44 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u2899) | ( _u2900 != _u2901) | ( _u2901 != _u2902) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2899, _u2900, _u2901) = hAPP(hAPP(c_Set_Oinsert(_u2899), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2899, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u2903) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2903, _u2904, _u2904) = hAPP(hAPP(c_Set_Oinsert(_u2903), _u2904), c_Orderings_Obot__class_Obot(tc_fun(_u2903, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2905) | ( c_Complete__Lattice_OSup__class_OSup(_u2905, hAPP(hAPP(c_Set_Oinsert(_u2905), _u2906), c_Orderings_Obot__class_Obot(tc_fun(_u2905, tc_HOL_Obool)))) = _u2906) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2907) | ( c_Complete__Lattice_OSup__class_OSup(_u2907, hAPP(hAPP(c_Set_Oinsert(_u2907), _u2908), _u2909)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2907), _u2908), c_Complete__Lattice_OSup__class_OSup(_u2907, _u2909))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2910, tc_HOL_Obool)), _u2911) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2910, tc_HOL_Obool))), _u2911)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2912, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2912, tc_HOL_Obool)), _u2913), _u2914)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2912, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2912, tc_HOL_Obool)), _u2913)), _u2914)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2915, tc_HOL_Obool)), _u2916), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2915, tc_HOL_Obool)), _u2917)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2915, tc_HOL_Obool)), _u2916), _u2917)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2918, tc_HOL_Obool)), _u2919), _u2920) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2918, tc_HOL_Obool)), _u2919), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2918, tc_HOL_Obool)), _u2920))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2921) | ( c_Complete__Lattice_OInf__class_OInf(_u2921, hAPP(hAPP(c_Set_Oinsert(_u2921), _u2922), c_Orderings_Obot__class_Obot(tc_fun(_u2921, tc_HOL_Obool)))) = _u2922) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2923) | ( c_Complete__Lattice_OInf__class_OInf(_u2923, hAPP(hAPP(c_Set_Oinsert(_u2923), _u2924), _u2925)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2923), _u2924), c_Complete__Lattice_OInf__class_OInf(_u2923, _u2925))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2926, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2926, tc_HOL_Obool)), _u2927), _u2928)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2926, tc_HOL_Obool)), _u2927), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2926, tc_HOL_Obool), _u2928))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2929, tc_HOL_Obool)), _u2930), _u2931) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2929, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2929, tc_HOL_Obool)), _u2930), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2929, tc_HOL_Obool)), _u2931), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2929, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u2932), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2932, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2932, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2933, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2933, tc_HOL_Obool)), _u2934), _u2935)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2933, tc_HOL_Obool)), _u2934), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2933, tc_HOL_Obool), _u2935))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2936, tc_HOL_Obool)), _u2937), _u2938) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2936, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2936, tc_HOL_Obool)), _u2937), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2936, tc_HOL_Obool)), _u2938), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2936, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2939), _u2940), _u2941)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2939, tc_fun(_u2942, tc_HOL_Obool)), _u2941), hAPP(hAPP(c_COMBB(tc_fun(_u2942, tc_HOL_Obool), tc_fun(_u2942, tc_HOL_Obool), _u2939), hAPP(c_Set_Oinsert(_u2942), _u2943)), _u2944)) = hAPP(hAPP(c_Set_Oinsert(_u2942), _u2943), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2939, tc_fun(_u2942, tc_HOL_Obool)), _u2941), _u2944))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__constant__conv-1, axiom, ( ( _u2949 != c_Orderings_Obot__class_Obot(tc_fun(_u2951, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2951, _u2953, hAPP(c_COMBK(_u2953, _u2951), _u2955)), _u2949) = c_Orderings_Obot__class_Obot(tc_fun(_u2953, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_image__constant__conv-2, axiom, ( ( _u2950 = c_Orderings_Obot__class_Obot(tc_fun(_u2952, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2952, _u2954, hAPP(c_COMBK(_u2954, _u2952), _u2956)), _u2950) = hAPP(hAPP(c_Set_Oinsert(_u2954), _u2956), c_Orderings_Obot__class_Obot(tc_fun(_u2954, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u2962 != c_Orderings_Obot__class_Obot(tc_fun(_u2964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u2966), _u2968), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2964, tc_fun(_u2966, tc_HOL_Obool)), _u2962), _u2970)) = hAPP(hAPP(c_Set_Oinsert(_u2966), _u2968), c_Orderings_Obot__class_Obot(tc_fun(_u2966, tc_HOL_Obool)))) )).
% 12.28/12.44 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u2963 = c_Orderings_Obot__class_Obot(tc_fun(_u2965, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u2967), _u2969), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2965, tc_fun(_u2967, tc_HOL_Obool)), _u2963), _u2971)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2965, tc_fun(_u2967, tc_HOL_Obool)), _u2963), hAPP(hAPP(c_COMBB(tc_fun(_u2967, tc_HOL_Obool), tc_fun(_u2967, tc_HOL_Obool), _u2965), hAPP(c_Set_Oinsert(_u2967), _u2969)), _u2971))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2972, tc_fun(_u2972, tc_HOL_Obool)), _u2973), hAPP(hAPP(c_COMBC(_u2972, tc_fun(_u2972, tc_HOL_Obool), tc_fun(_u2972, tc_HOL_Obool)), c_Set_Oinsert(_u2972)), c_Orderings_Obot__class_Obot(tc_fun(_u2972, tc_HOL_Obool)))) = _u2973) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u2979 != c_Orderings_Obot__class_Obot(tc_fun(_u2981, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2981, tc_fun(_u2983, tc_HOL_Obool)), _u2979), hAPP(hAPP(c_COMBB(tc_fun(_u2983, tc_HOL_Obool), tc_fun(_u2983, tc_HOL_Obool), _u2981), hAPP(c_Set_Oinsert(_u2983), _u2985)), _u2987)) = c_Orderings_Obot__class_Obot(tc_fun(_u2983, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u2980 = c_Orderings_Obot__class_Obot(tc_fun(_u2982, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2982, tc_fun(_u2984, tc_HOL_Obool)), _u2980), hAPP(hAPP(c_COMBB(tc_fun(_u2984, tc_HOL_Obool), tc_fun(_u2984, tc_HOL_Obool), _u2982), hAPP(c_Set_Oinsert(_u2984), _u2986)), _u2988)) = hAPP(hAPP(c_Set_Oinsert(_u2984), _u2986), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2982, tc_fun(_u2984, tc_HOL_Obool)), _u2980), _u2988))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2989), _u2990), _u2991)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2989, tc_fun(_u2992, tc_HOL_Obool)), _u2991), hAPP(hAPP(c_COMBB(tc_fun(_u2992, tc_HOL_Obool), tc_fun(_u2992, tc_HOL_Obool), _u2989), hAPP(c_Set_Oinsert(_u2992), _u2993)), _u2994)) = hAPP(hAPP(c_Set_Oinsert(_u2992), _u2993), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2989, tc_fun(_u2992, tc_HOL_Obool)), _u2991), _u2994))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2995, tc_fun(_u2996, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2995), _u2997), _u2998)), _u2999) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2996, tc_HOL_Obool)), hAPP(_u2999, _u2997)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2995, tc_fun(_u2996, tc_HOL_Obool)), _u2998), _u2999))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3000, tc_fun(_u3001, tc_HOL_Obool)), _u3002), hAPP(hAPP(c_COMBB(tc_fun(_u3001, tc_HOL_Obool), tc_fun(_u3001, tc_HOL_Obool), _u3000), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3001, tc_HOL_Obool)), _u3003)), _u3004)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3001, tc_HOL_Obool)), _u3003), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3000, tc_fun(_u3001, tc_HOL_Obool)), _u3002), _u3004))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3005, tc_HOL_Obool)), _u3006), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3007, tc_fun(_u3005, tc_HOL_Obool)), _u3008), _u3009)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3007, tc_fun(_u3005, tc_HOL_Obool)), _u3008), hAPP(hAPP(c_COMBB(tc_fun(_u3005, tc_HOL_Obool), tc_fun(_u3005, tc_HOL_Obool), _u3007), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3005, tc_HOL_Obool)), _u3006)), _u3009))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3010, tc_fun(_u3011, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3010), _u3012), _u3013)), _u3014) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3011, tc_HOL_Obool)), hAPP(_u3014, _u3012)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3010, tc_fun(_u3011, tc_HOL_Obool)), _u3013), _u3014))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u3015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3015), _u3016), _u3017)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u3015, _u3017, _u3016) = c_Orderings_Obot__class_Obot(tc_fun(_u3015, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3018) | ( hAPP(c_Set_Oimage(_u3018, _u3018, c_Groups_Ouminus__class_Ouminus(_u3018)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3018, _u3019, _u3020)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u3018, hAPP(c_Groups_Ouminus__class_Ouminus(_u3018), _u3020), hAPP(c_Groups_Ouminus__class_Ouminus(_u3018), _u3019))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3021) | ( c_Complete__Lattice_OSup__class_OSup(_u3021, hAPP(hAPP(c_Set_Oinsert(_u3021), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3021), _u3022), _u3023)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3024) | ( c_Complete__Lattice_OInf__class_OInf(_u3024, hAPP(hAPP(c_Set_Oinsert(_u3024), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3024), _u3025), _u3026)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3027), _u3028), _u3029)) | ( hAPP(c_Set_Oimage(_u3027, _u3030, hAPP(c_COMBK(_u3030, _u3027), _u3031)), _u3029) = hAPP(hAPP(c_Set_Oinsert(_u3030), _u3031), c_Orderings_Obot__class_Obot(tc_fun(_u3030, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u3037 != c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3039, tc_fun(_u3041, tc_HOL_Obool)), _u3037), hAPP(hAPP(c_COMBC(_u3039, tc_fun(_u3041, tc_HOL_Obool), tc_fun(_u3041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3041, tc_HOL_Obool), tc_fun(tc_fun(_u3041, tc_HOL_Obool), tc_fun(_u3041, tc_HOL_Obool)), _u3039), c_Groups_Ominus__class_Ominus(tc_fun(_u3041, tc_HOL_Obool))), _u3043)), _u3045)) = c_Orderings_Otop__class_Otop(tc_fun(_u3041, tc_HOL_Obool))) )).
% 12.28/12.44 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u3038 = c_Orderings_Obot__class_Obot(tc_fun(_u3040, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3040, tc_fun(_u3042, tc_HOL_Obool)), _u3038), hAPP(hAPP(c_COMBC(_u3040, tc_fun(_u3042, tc_HOL_Obool), tc_fun(_u3042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3042, tc_HOL_Obool), tc_fun(tc_fun(_u3042, tc_HOL_Obool), tc_fun(_u3042, tc_HOL_Obool)), _u3040), c_Groups_Ominus__class_Ominus(tc_fun(_u3042, tc_HOL_Obool))), _u3044)), _u3046)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3042, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3040, tc_fun(_u3042, tc_HOL_Obool)), _u3038), _u3044)), _u3046)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u3052 != c_Orderings_Obot__class_Obot(tc_fun(_u3054, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3054, tc_fun(_u3056, tc_HOL_Obool)), _u3052), _u3058)), _u3060) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3056, tc_HOL_Obool))), _u3060)) )).
% 12.28/12.44 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u3053 = c_Orderings_Obot__class_Obot(tc_fun(_u3055, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3055, tc_fun(_u3057, tc_HOL_Obool)), _u3053), _u3059)), _u3061) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3055, tc_fun(_u3057, tc_HOL_Obool)), _u3053), hAPP(hAPP(c_COMBC(_u3055, tc_fun(_u3057, tc_HOL_Obool), tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3057, tc_HOL_Obool), tc_fun(tc_fun(_u3057, tc_HOL_Obool), tc_fun(_u3057, tc_HOL_Obool)), _u3055), c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool))), _u3059)), _u3061))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u3062, _u3063, _u3064), _u3065) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3062, tc_fun(_u3063, tc_HOL_Obool)), _u3065), hAPP(hAPP(c_COMBC(_u3062, tc_fun(_u3063, tc_HOL_Obool), tc_fun(_u3063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3063, tc_fun(tc_fun(_u3063, tc_HOL_Obool), tc_fun(_u3063, tc_HOL_Obool)), _u3062), c_Set_Oinsert(_u3063)), _u3064)), c_Orderings_Obot__class_Obot(tc_fun(_u3063, tc_HOL_Obool))))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u3071 != c_Orderings_Obot__class_Obot(tc_fun(_u3073, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3075, tc_HOL_Obool)), _u3077), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3073, tc_fun(_u3075, tc_HOL_Obool)), _u3071), _u3079)) = _u3077) )).
% 12.28/12.44 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u3072 = c_Orderings_Obot__class_Obot(tc_fun(_u3074, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3076, tc_HOL_Obool)), _u3078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3074, tc_fun(_u3076, tc_HOL_Obool)), _u3072), _u3080)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3074, tc_fun(_u3076, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_COMBB(tc_fun(_u3076, tc_HOL_Obool), tc_fun(_u3076, tc_HOL_Obool), _u3074), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3076, tc_HOL_Obool)), _u3078)), _u3080))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u3081), hAPP(hAPP(c_Set_Oinsert(_u3081), _u3082), _u3083)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u3081, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u3081), _u3083)), hAPP(c_Set_Oimage(tc_fun(_u3081, tc_HOL_Obool), tc_fun(_u3081, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u3081), _u3082)), hAPP(c_Set_OPow(_u3081), _u3083)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u3084) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3084, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3084, _u3085, _u3086)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3084, _u3086, _u3087)) = c_Orderings_Obot__class_Obot(tc_fun(_u3084, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u3088) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3088, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3088, _u3089, _u3090)), c_SetInterval_Oord__class_OatLeastAtMost(_u3088, _u3090, _u3091)) = c_Orderings_Obot__class_Obot(tc_fun(_u3088, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u3092) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3092, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3092), _u3093)), hAPP(hAPP(c_Set_Oinsert(_u3092), _u3093), c_Orderings_Obot__class_Obot(tc_fun(_u3092, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u3092), _u3093)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u3094) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3094, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3094, _u3095, _u3096)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3094, _u3096), _u3097)) = c_Orderings_Obot__class_Obot(tc_fun(_u3094, tc_HOL_Obool))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u3098, hAPP(hAPP(c_Set_Oinsert(_u3098), _u3099), c_Orderings_Obot__class_Obot(tc_fun(_u3098, tc_HOL_Obool)))) = _u3099) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3106), _u3108), _u3110)) | ( hAPP(c_Set_Oimage(_u3106, _u3112, c_Fun_Ofun__upd(_u3106, _u3112, _u3114, _u3108, _u3116)), _u3110) = hAPP(hAPP(c_Set_Oinsert(_u3112), _u3116), hAPP(c_Set_Oimage(_u3106, _u3112, _u3114), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3106, tc_HOL_Obool)), _u3110), hAPP(hAPP(c_Set_Oinsert(_u3106), _u3108), c_Orderings_Obot__class_Obot(tc_fun(_u3106, tc_HOL_Obool))))))) )).
% 12.28/12.44 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3107), _u3109), _u3111)) | ( hAPP(c_Set_Oimage(_u3107, _u3113, c_Fun_Ofun__upd(_u3107, _u3113, _u3115, _u3109, _u3117)), _u3111) = hAPP(c_Set_Oimage(_u3107, _u3113, _u3115), _u3111)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_Inter__subset-1, axiom, ( ( _u3120 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3119, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3119, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3119, tc_HOL_Obool), _u3120)), _u3121)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3119, tc_HOL_Obool)), skolem62(_u3121, _u3120, _u3119)), _u3120)) )).
% 12.28/12.44 cnf(fact_Inter__subset-2, axiom, ( ( _u3120 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3119, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3119, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3119, tc_HOL_Obool), _u3120)), _u3121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3119, tc_HOL_Obool)), skolem62(_u3121, _u3120, _u3119)), _u3121)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u3122) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3122), _u3123), _u3124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3122), _u3124), _u3125)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3122, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3122, _u3123, _u3124)), c_SetInterval_Oord__class_OatLeastAtMost(_u3122, _u3124, _u3125)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u3122, _u3123, _u3125)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u3126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3126), _u3127), _u3128)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3126, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3126, _u3127, _u3128)), hAPP(hAPP(c_Set_Oinsert(_u3126), _u3128), c_Orderings_Obot__class_Obot(tc_fun(_u3126, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u3126, _u3127, _u3128)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u3129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3129), _u3130), _u3131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3129), _u3131), _u3132)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3129, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3129, _u3130, _u3131)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3129, _u3131, _u3132)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3129, _u3130), _u3132)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u3133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3133), _u3134), _u3135)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3133, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3133), _u3134), c_Orderings_Obot__class_Obot(tc_fun(_u3133, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3133, _u3134, _u3135)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3133, _u3134), _u3135)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_coinduct__set ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_coinduct__set-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u3136, tc_HOL_Obool), tc_fun(_u3136, tc_HOL_Obool), _u3137) | ~hBOOL(hAPP(hAPP(c_member(_u3136), _u3138), _u3139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3136, tc_HOL_Obool)), _u3139), hAPP(_u3137, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3136, tc_HOL_Obool)), _u3139), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3136, tc_HOL_Obool), _u3137))))) | hBOOL(hAPP(hAPP(c_member(_u3136), _u3138), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3136, tc_HOL_Obool), _u3137))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_def__coinduct__set ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_def__coinduct__set-1, axiom, ( ( _u3140 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3141, tc_HOL_Obool), _u3142)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u3141, tc_HOL_Obool), tc_fun(_u3141, tc_HOL_Obool), _u3142) | ~hBOOL(hAPP(hAPP(c_member(_u3141), _u3143), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3141, tc_HOL_Obool)), _u3144), hAPP(_u3142, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3141, tc_HOL_Obool)), _u3144), _u3140)))) | hBOOL(hAPP(hAPP(c_member(_u3141), _u3143), _u3140)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u3145, _u3146, _u3147, _u3148, hAPP(_u3147, _u3148)) = _u3147) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u3149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3149), _u3150), _u3150)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u3151) | ( _u3152 = _u3153) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3152), _u3153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3153), _u3152)) )).
% 12.28/12.44 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u3151) | ( _u3152 != _u3153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3152), _u3153)) )).
% 12.28/12.44 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u3151) | ( _u3152 != _u3153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3153), _u3152)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u3154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3155), _u3156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3156), _u3155)) | ( _u3155 = _u3156) )).
% 12.28/12.44 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u3154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3155), _u3156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3156), _u3155)) )).
% 12.28/12.44 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u3154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3155), _u3156)) | ( _u3155 != _u3156) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u3157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3157), _u3158), _u3159)) | ( _u3158 = _u3159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3157), _u3159), _u3158)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u3160) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3161), _u3162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3162), _u3161)) | ( _u3162 = _u3161) )).
% 12.28/12.44 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u3160) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3161), _u3162)) | ( _u3162 != _u3161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3162), _u3161)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u3163) | ( _u3164 = _u3165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3163), _u3164), _u3165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3163), _u3165), _u3164)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u3166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3166), _u3167), _u3168)) | ( _u3167 != _u3168) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u3169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3169), _u3170), _u3171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3169), _u3171), _u3170)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u3172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3172), _u3173), _u3174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3172), _u3174), _u3173)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u3175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3175), _u3176), _u3177)) | ( _u3176 != _u3177) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u3178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3178), _u3179), _u3180)) | ( _u3180 != _u3179) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u3181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3181), _u3182), _u3183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3181), _u3183), _u3182)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u3184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3184), _u3185), _u3186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3184), _u3186), _u3185)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u3187) | ( _u3188 != _u3189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3187), _u3189), _u3190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3187), _u3188), _u3190)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u3191) | ( _u3192 != _u3193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3191), _u3194), _u3193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3191), _u3194), _u3192)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u3195) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3195), _u3196), _u3197)) | ( _u3197 != _u3198) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3195), _u3196), _u3198)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u3199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3199), _u3200), _u3201)) | ( _u3200 != _u3202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3199), _u3202), _u3201)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u3203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3203), _u3204), _u3205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3203), _u3205), _u3206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3203), _u3204), _u3206)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u3207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3207), _u3208), _u3209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3207), _u3210), _u3208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3207), _u3210), _u3209)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u3211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3211), _u3212), _u3213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3211), _u3213), _u3212)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u3214) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3214), _u3215), _u3216)) | ( _u3215 = _u3216) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3214), _u3216), _u3215)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u3226, _u3228) = _u3230) | ( c_Fun_Ofun__upd(_u3222, _u3224, _u3226, _u3228, _u3230) != _u3226) )).
% 12.28/12.44 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u3227, _u3229) != _u3231) | ( c_Fun_Ofun__upd(_u3223, _u3225, _u3227, _u3229, _u3231) = _u3227) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u3232, _u3233, c_Fun_Ofun__upd(_u3232, _u3233, _u3234, _u3235, _u3236), _u3235, _u3237) = c_Fun_Ofun__upd(_u3232, _u3233, _u3234, _u3235, _u3237)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u3238, _u3239, _u3240, _u3241, _u3242), _u3241) = _u3242) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__apply-1, axiom, ( ( _u3249 != _u3251) | ( hAPP(c_Fun_Ofun__upd(_u3253, _u3255, _u3257, _u3251, _u3259), _u3249) = _u3259) )).
% 12.28/12.44 cnf(fact_fun__upd__apply-2, axiom, ( ( _u3250 = _u3252) | ( hAPP(c_Fun_Ofun__upd(_u3254, _u3256, _u3258, _u3252, _u3260), _u3250) = hAPP(_u3258, _u3250)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__twist-1, axiom, ( ( _u3261 = _u3262) | ( c_Fun_Ofun__upd(_u3263, _u3264, c_Fun_Ofun__upd(_u3263, _u3264, _u3265, _u3261, _u3266), _u3262, _u3267) = c_Fun_Ofun__upd(_u3263, _u3264, c_Fun_Ofun__upd(_u3263, _u3264, _u3265, _u3262, _u3267), _u3261, _u3266)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__other-1, axiom, ( ( _u3268 = _u3269) | ( hAPP(c_Fun_Ofun__upd(_u3270, _u3271, _u3272, _u3269, _u3273), _u3268) = hAPP(_u3272, _u3268)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u3274, _u3275) != _u3276) | ( c_Fun_Ofun__upd(_u3277, _u3278, _u3274, _u3275, _u3276) = _u3274) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u3279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3279, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3280)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3279), _u3280), _u3281)) )).
% 12.28/12.44 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u3279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3279), _u3280), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3279, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3280)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3281))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_fun__upd__def-1, axiom, ( ( _u3288 != _u3290) | ( hAPP(c_Fun_Ofun__upd(_u3292, _u3294, _u3296, _u3290, _u3298), _u3288) = _u3298) )).
% 12.28/12.44 cnf(fact_fun__upd__def-2, axiom, ( ( _u3289 = _u3291) | ( hAPP(c_Fun_Ofun__upd(_u3293, _u3295, _u3297, _u3291, _u3299), _u3289) = hAPP(_u3297, _u3289)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3301)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3302), _u3304)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3303), _u3301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3302), _u3304)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u3300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u3300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3302), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3303), _u3301)) )).
% 12.28/12.44 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u3300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3302), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3302), _u3304)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u3305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3306, _u3305)), _u3307), _u3308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3307), _u3308)) )).
% 12.28/12.44 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u3305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3306, _u3305)), _u3307), _u3308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3308), _u3307)) )).
% 12.28/12.44 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u3305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3307), _u3308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3308), _u3307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3306, _u3305)), _u3307), _u3308)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u3309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3309), _u3310), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3309), _u3311), _u3310)) )).
% 12.28/12.44 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u3309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3309), _u3311), _u3310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3309), _u3310), _u3311)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u3312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3312), _u3313), _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3313)) )).
% 12.28/12.44 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3312), _u3313), _u3314)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u3315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3315), _u3316), _u3317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3315), _u3317), _u3316)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u3318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3318), _u3319), _u3320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3318), _u3319), _u3320)) )).
% 12.28/12.44 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u3318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3318), _u3319), _u3320)) | ( _u3319 != _u3320) )).
% 12.28/12.44 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u3318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3318), _u3319), _u3320)) | ( _u3319 = _u3320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3318), _u3319), _u3320)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u3321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3321), _u3322), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3322), _u3323)) )).
% 12.28/12.44 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u3321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3321), _u3322), _u3323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3323), _u3322)) )).
% 12.28/12.44 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u3321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3322), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3323), _u3322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3321), _u3322), _u3323)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u3324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3324), _u3325), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3324), _u3325), _u3326)) | ( _u3325 = _u3326) )).
% 12.28/12.44 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u3324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3324), _u3325), _u3326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3324), _u3325), _u3326)) )).
% 12.28/12.44 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u3324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3324), _u3325), _u3326)) | ( _u3325 != _u3326) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_leI ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u3327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3327), _u3328), _u3329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3327), _u3329), _u3328)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u3330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3330), _u3331), _u3332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3330), _u3332), _u3331)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u3333) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3333), _u3334), _u3335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3334), _u3335)) | ( _u3334 = _u3335) )).
% 12.28/12.44 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u3333) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3333), _u3334), _u3335)) | ( _u3334 != _u3335) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3334), _u3335)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u3336) | ( _u3337 = _u3338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3336), _u3337), _u3338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3336), _u3337), _u3338)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u3339) | ( _u3340 = _u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3339), _u3341), _u3340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3339), _u3341), _u3340)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_leD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u3342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3342), _u3343), _u3344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3342), _u3344), _u3343)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u3345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), _u3346), _u3347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3345), _u3346), _u3347)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u3348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3348), _u3349), _u3350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3348), _u3349), _u3350)) | ( _u3349 = _u3350) )).
% 12.28/12.44 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u3348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3348), _u3349), _u3350)) | ( _u3349 != _u3350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3348), _u3349), _u3350)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u3351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3351), _u3352), _u3353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3351), _u3352), _u3353)) | ( _u3352 = _u3353) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u3354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3354), _u3355), _u3356)) | ( _u3355 = _u3356) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3354), _u3355), _u3356)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u3357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3357), _u3358), _u3359)) | ( _u3359 = _u3358) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), _u3358), _u3359)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u3360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3360), _u3361), _u3362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3360), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3360), _u3361), _u3363)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u3364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3365), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3364), _u3367), _u3365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3367), _u3366)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u3368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3368), _u3369), _u3370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3368), _u3370), _u3371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3368), _u3369), _u3371)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u3372) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3372), _u3373), _u3374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3372), _u3375), _u3373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3372), _u3375), _u3374)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3376, tc_HOL_Obool)), _u3377), _u3378)) | ~hBOOL(hAPP(hAPP(c_member(_u3376), _u3379), _u3377)) | hBOOL(hAPP(hAPP(c_member(_u3376), _u3379), _u3378)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3380, tc_HOL_Obool)), _u3381), c_Orderings_Obot__class_Obot(tc_fun(_u3380, tc_HOL_Obool)))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3382) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3383), _u3384) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3385), _u3386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3383), _u3384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3385), _u3386)) )).
% 12.28/12.44 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3382) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3383), _u3384) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3385), _u3386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3385), _u3386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3383), _u3384)) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3387), _u3388), _u3389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3387), _u3388), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3387), _u3389), _u3390))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3391), _u3392), _u3393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3391), _u3392), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3391), _u3394), _u3393))) )).
% 12.28/12.44
% 12.28/12.44 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 12.28/12.44 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3395), _u3396), _u3397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3395), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3395), _u3396), _u3398)), _u3397)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3399), _u3400), _u3401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3399), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3399), _u3402), _u3400)), _u3401)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3404)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), _u3405), _u3404)) )).
% 12.28/12.45 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), _u3405), _u3404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3404)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3405))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3407)), _u3408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3408)), _u3407)) )).
% 12.28/12.45 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3408)), _u3407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3407)), _u3408)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3410), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3411), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3410))) )).
% 12.28/12.45 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3411), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3410), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3411))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3415, tc_HOL_Obool)), _u3417), _u3419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3415, tc_HOL_Obool)), _u3417), _u3419)) )).
% 12.28/12.45 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3415, tc_HOL_Obool)), _u3417), _u3419)) | ( _u3417 != _u3419) )).
% 12.28/12.45 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3416, tc_HOL_Obool)), _u3418), _u3420)) | ( _u3418 = _u3420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3416, tc_HOL_Obool)), _u3418), _u3420)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3424, tc_HOL_Obool)), _u3426), _u3428)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3424, tc_HOL_Obool)), _u3426), _u3428)) | ( _u3426 = _u3428) )).
% 12.28/12.45 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3425, tc_HOL_Obool)), _u3427), _u3429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3425, tc_HOL_Obool)), _u3427), _u3429)) )).
% 12.28/12.45 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3425, tc_HOL_Obool)), _u3427), _u3429)) | ( _u3427 != _u3429) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3430, tc_HOL_Obool)), _u3431), _u3432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3430, tc_HOL_Obool)), _u3431), _u3432)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3433, tc_HOL_Obool)), _u3434), _u3435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3433, tc_HOL_Obool)), _u3435), _u3436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3433, tc_HOL_Obool)), _u3434), _u3436)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3437, tc_HOL_Obool)), _u3438), _u3439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3437, tc_HOL_Obool)), _u3439), _u3440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3437, tc_HOL_Obool)), _u3438), _u3440)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3444), _u3445)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3442), _u3443) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3444), _u3445)) | ( _u3442 = _u3444) )).
% 12.28/12.45 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3444), _u3445)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3442), _u3443) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3444), _u3445)) | ( _u3443 = _u3445) )).
% 12.28/12.45 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3444), _u3445)) | ( _u3442 != _u3444) | ( _u3443 != _u3445) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3442), _u3443) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3444), _u3445)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u3446) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3446, _u3447), _u3448) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3446, _u3449), _u3450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3446), _u3447), _u3448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3446), _u3449), _u3450)) | ( _u3447 = _u3449) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u3451) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3451, _u3452), _u3453) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3451, _u3454), _u3455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3451), _u3452), _u3453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3451), _u3454), _u3455)) | ( _u3453 = _u3455) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3458) | ~class_Orderings_Olinorder(_u3458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), c_Complete__Lattice_OSup__class_OSup(_u3458, _u3460))) | hBOOL(hAPP(hAPP(c_member(_u3458), skolem63(_u3460, _u3459, _u3458)), _u3460)) )).
% 12.28/12.45 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3458) | ~class_Orderings_Olinorder(_u3458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), c_Complete__Lattice_OSup__class_OSup(_u3458, _u3460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), skolem63(_u3460, _u3459, _u3458))) )).
% 12.28/12.45 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3458) | ~class_Orderings_Olinorder(_u3458) | ~hBOOL(hAPP(hAPP(c_member(_u3458), _u3457), _u3460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), _u3457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), c_Complete__Lattice_OSup__class_OSup(_u3458, _u3460))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3463) | ~class_Orderings_Olinorder(_u3463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), c_Complete__Lattice_OInf__class_OInf(_u3463, _u3464)), _u3465)) | hBOOL(hAPP(hAPP(c_member(_u3463), skolem64(_u3465, _u3464, _u3463)), _u3464)) )).
% 12.28/12.45 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3463) | ~class_Orderings_Olinorder(_u3463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), c_Complete__Lattice_OInf__class_OInf(_u3463, _u3464)), _u3465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), skolem64(_u3465, _u3464, _u3463)), _u3465)) )).
% 12.28/12.45 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3463) | ~class_Orderings_Olinorder(_u3463) | ~hBOOL(hAPP(hAPP(c_member(_u3463), _u3462), _u3464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), _u3462), _u3465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), c_Complete__Lattice_OInf__class_OInf(_u3463, _u3464)), _u3465)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3468) | ~class_Orderings_Olinorder(_u3468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3470, _u3468), _u3471), _u3472))) | hBOOL(hAPP(hAPP(c_member(_u3470), skolem65(_u3472, _u3471, _u3470, _u3469, _u3468)), _u3471)) )).
% 12.28/12.45 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3468) | ~class_Orderings_Olinorder(_u3468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3470, _u3468), _u3471), _u3472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(_u3472, skolem65(_u3472, _u3471, _u3470, _u3469, _u3468)))) )).
% 12.28/12.45 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3468) | ~class_Orderings_Olinorder(_u3468) | ~hBOOL(hAPP(hAPP(c_member(_u3470), _u3467), _u3471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(_u3472, _u3467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3470, _u3468), _u3471), _u3472))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3475) | ~class_Orderings_Olinorder(_u3475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3476, _u3475), _u3477), _u3478)), _u3479)) | hBOOL(hAPP(hAPP(c_member(_u3476), skolem66(_u3479, _u3478, _u3477, _u3476, _u3475)), _u3477)) )).
% 12.28/12.45 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3475) | ~class_Orderings_Olinorder(_u3475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3476, _u3475), _u3477), _u3478)), _u3479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(_u3478, skolem66(_u3479, _u3478, _u3477, _u3476, _u3475))), _u3479)) )).
% 12.28/12.45 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3475) | ~class_Orderings_Olinorder(_u3475) | ~hBOOL(hAPP(hAPP(c_member(_u3476), _u3474), _u3477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(_u3478, _u3474)), _u3479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3476, _u3475), _u3477), _u3478)), _u3479)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gfp__upperbound ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gfp__upperbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3480), _u3481), hAPP(_u3482, _u3481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3480), _u3481), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3480, _u3482))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_strict__mono__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_strict__mono__less-1, axiom, ( ~class_Orderings_Oorder(_u3483) | ~class_Orderings_Olinorder(_u3484) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3484, _u3483, _u3485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), hAPP(_u3485, _u3486)), hAPP(_u3485, _u3487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3484), _u3486), _u3487)) )).
% 12.28/12.45 cnf(fact_strict__mono__less-2, axiom, ( ~class_Orderings_Oorder(_u3483) | ~class_Orderings_Olinorder(_u3484) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3484, _u3483, _u3485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3484), _u3486), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), hAPP(_u3485, _u3486)), hAPP(_u3485, _u3487))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_strict__monoD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_strict__monoD-1, axiom, ( ~class_Orderings_Oorder(_u3488) | ~class_Orderings_Oorder(_u3489) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3489, _u3488, _u3490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3489), _u3491), _u3492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3488), hAPP(_u3490, _u3491)), hAPP(_u3490, _u3492))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__less__Least ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_not__less__Least-1, axiom, ( ~class_Orderings_Owellorder(_u3493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3493), _u3494), c_Orderings_Oord__class_OLeast(_u3493, _u3495))) | ~hBOOL(hAPP(_u3495, _u3494)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_def__gfp__unfold ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_def__gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3496) | ( _u3497 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u3496, _u3498)) | ~c_Orderings_Oorder__class_Omono(_u3496, _u3496, _u3498) | ( _u3497 = hAPP(_u3498, _u3497)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gfp__unfold ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3499) | ~c_Orderings_Oorder__class_Omono(_u3499, _u3499, _u3500) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u3499, _u3500) = hAPP(_u3500, c_Inductive_Ocomplete__lattice__class_Ogfp(_u3499, _u3500))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u3501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3501), _u3502), _u3503)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u3501, _u3503, _u3502) = c_Orderings_Obot__class_Obot(tc_fun(_u3501, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u3504) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3504, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3504, _u3505), _u3506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3504), _u3505), _u3506)) )).
% 12.28/12.45 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u3504) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3504), _u3505), _u3506)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3504, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3504, _u3505), _u3506)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u3507) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3507, _u3508), _u3509) != c_Orderings_Obot__class_Obot(tc_fun(_u3507, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), _u3509)) )).
% 12.28/12.45 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u3507) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), _u3509)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3507, _u3508), _u3509) = c_Orderings_Obot__class_Obot(tc_fun(_u3507, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u3510) | ~hBOOL(hAPP(hAPP(c_member(_u3510), _u3511), hAPP(c_SetInterval_Oord__class_OlessThan(_u3510), _u3512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), _u3511), _u3512)) )).
% 12.28/12.45 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u3510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), _u3511), _u3512)) | hBOOL(hAPP(hAPP(c_member(_u3510), _u3511), hAPP(c_SetInterval_Oord__class_OlessThan(_u3510), _u3512))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u3513) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3513, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u3513, _u3514, _u3515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3514), _u3515)) )).
% 12.28/12.45 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u3513) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3514), _u3515)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3513, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u3513, _u3514, _u3515)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u3516) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u3516, _u3517, _u3518) != c_Orderings_Obot__class_Obot(tc_fun(_u3516, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3516), _u3517), _u3518)) )).
% 12.28/12.45 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u3516) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3516), _u3517), _u3518)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u3516, _u3517, _u3518) = c_Orderings_Obot__class_Obot(tc_fun(_u3516, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u3519) | ~hBOOL(hAPP(hAPP(c_member(_u3519), _u3520), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u3519), _u3521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3519), _u3521), _u3520)) )).
% 12.28/12.45 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u3519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3519), _u3521), _u3520)) | hBOOL(hAPP(hAPP(c_member(_u3519), _u3520), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u3519), _u3521))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_weak__coinduct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_weak__coinduct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3522), _u3523), _u3524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3522, tc_HOL_Obool)), _u3524), hAPP(_u3525, _u3524))) | hBOOL(hAPP(hAPP(c_member(_u3522), _u3523), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3522, tc_HOL_Obool), _u3525))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gfp__lemma3 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3526) | ~c_Orderings_Oorder__class_Omono(_u3526, _u3526, _u3527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3526), hAPP(_u3527, c_Inductive_Ocomplete__lattice__class_Ogfp(_u3526, _u3527))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3526, _u3527))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gfp__lemma2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3528) | ~c_Orderings_Oorder__class_Omono(_u3528, _u3528, _u3529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3528), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3528, _u3529)), hAPP(_u3529, c_Inductive_Ocomplete__lattice__class_Ogfp(_u3528, _u3529)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_weak__coinduct__image ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_weak__coinduct__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3530), _u3531), _u3532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3533, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3530, _u3533, _u3534), _u3532)), hAPP(_u3535, hAPP(c_Set_Oimage(_u3530, _u3533, _u3534), _u3532)))) | hBOOL(hAPP(hAPP(c_member(_u3533), hAPP(_u3534, _u3531)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3533, tc_HOL_Obool), _u3535))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gfp__fun__UnI2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gfp__fun__UnI2-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u3536, tc_HOL_Obool), tc_fun(_u3536, tc_HOL_Obool), _u3537) | ~hBOOL(hAPP(hAPP(c_member(_u3536), _u3538), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3536, tc_HOL_Obool), _u3537))) | hBOOL(hAPP(hAPP(c_member(_u3536), _u3538), hAPP(_u3537, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3536, tc_HOL_Obool)), _u3539), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3536, tc_HOL_Obool), _u3537))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u3540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3540), _u3541), _u3542)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3540), _u3542), _u3543)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3540, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3540, _u3541, _u3542)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3540, _u3542), _u3543)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u3540, _u3541, _u3543)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u3544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3544), _u3545), _u3546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3544), _u3546), _u3547)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3544, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u3544, _u3545, _u3546)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3544, _u3546, _u3547)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u3544, _u3545, _u3547)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_def__coinduct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_def__coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3548) | ( _u3549 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u3548, _u3550)) | ~c_Orderings_Oorder__class_Omono(_u3548, _u3548, _u3550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3548), _u3551), hAPP(_u3550, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3548), _u3551), _u3549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3548), _u3551), _u3549)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_coinduct__lemma ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_coinduct__lemma-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3552), _u3553), hAPP(_u3554, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3552), _u3553), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3552, _u3554))))) | ~c_Orderings_Oorder__class_Omono(_u3552, _u3552, _u3554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3552), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3552), _u3553), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3552, _u3554))), hAPP(_u3554, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3552), _u3553), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3552, _u3554))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_coinduct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3555) | ~c_Orderings_Oorder__class_Omono(_u3555, _u3555, _u3556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3555), _u3557), hAPP(_u3556, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3555), _u3557), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3555, _u3556))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3555), _u3557), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3555, _u3556))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u3558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3558), _u3559), _u3560)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3558, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u3558), _u3559)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3558, _u3559, _u3560)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u3558), _u3560)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u3561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), _u3562), _u3563)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3561, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3561, _u3562, _u3563)), hAPP(c_SetInterval_Oord__class_OatLeast(_u3561), _u3563)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u3561), _u3562)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), _u3574))) | ~hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), _u3574)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), _u3574))) | hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3574)) | ~hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), c_Orderings_Obot__class_Obot(tc_fun(_u3568, tc_HOL_Obool))))), _u3574)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), _u3574))) | hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3574)) | hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3568, tc_HOL_Obool)), _u3570), _u3574)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | ~hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) )).
% 12.28/12.45 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_coinduct3 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_coinduct3-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool), _u3577) | ~hBOOL(hAPP(hAPP(c_member(_u3576), _u3578), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3576, tc_HOL_Obool)), _u3579), hAPP(_u3577, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3576, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3576, tc_HOL_Obool), tc_fun(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), tc_fun(_u3576, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3576, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3576, tc_HOL_Obool), tc_fun(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), tc_fun(_u3576, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3576, tc_HOL_Obool))), _u3577)), _u3579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3576, tc_HOL_Obool), _u3577)))))) | hBOOL(hAPP(hAPP(c_member(_u3576), _u3578), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3576, tc_HOL_Obool), _u3577))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_def__coinduct3 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_def__coinduct3-1, axiom, ( ( _u3580 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3581, tc_HOL_Obool), _u3582)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool), _u3582) | ~hBOOL(hAPP(hAPP(c_member(_u3581), _u3583), _u3584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3581, tc_HOL_Obool)), _u3584), hAPP(_u3582, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3581, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3581, tc_HOL_Obool), tc_fun(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), tc_fun(_u3581, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3581, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3581, tc_HOL_Obool), tc_fun(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), tc_fun(_u3581, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3581, tc_HOL_Obool))), _u3582)), _u3584))), _u3580))))) | hBOOL(hAPP(hAPP(c_member(_u3581), _u3583), _u3580)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_coinduct3__lemma ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_coinduct3__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3585, tc_HOL_Obool)), _u3586), hAPP(_u3587, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), _u3587)), _u3586))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3585, tc_HOL_Obool), _u3587)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), _u3587) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3585, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), _u3587)), _u3586))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3585, tc_HOL_Obool), _u3587)))), hAPP(_u3587, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), _u3587)), _u3586))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3585, tc_HOL_Obool), _u3587)))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u3588, _u3589) = c_HOL_OThe(_u3588, hAPP(hAPP(c_COMBB(tc_fun(_u3588, tc_HOL_Obool), tc_HOL_Obool, _u3588), hAPP(c_fequal, _u3589)), hAPP(hAPP(c_COMBC(_u3588, tc_fun(_u3588, tc_HOL_Obool), tc_fun(_u3588, tc_HOL_Obool)), c_Set_Oinsert(_u3588)), c_Orderings_Obot__class_Obot(tc_fun(_u3588, tc_HOL_Obool)))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3590), _u3591), _u3592)) | ~c_Nitpick_Ofold__graph_H(_u3590, _u3593, _u3594, _u3595, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3590, tc_HOL_Obool)), _u3592), hAPP(hAPP(c_Set_Oinsert(_u3590), _u3591), c_Orderings_Obot__class_Obot(tc_fun(_u3590, tc_HOL_Obool)))), _u3596) | c_Nitpick_Ofold__graph_H(_u3590, _u3593, _u3594, _u3595, _u3592, hAPP(hAPP(_u3594, _u3591), _u3596)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), skolem67(_u3601, _u3600, _u3599)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601))) )).
% 12.28/12.45 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), skolem68(_u3601, _u3600, _u3599)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601))) )).
% 12.28/12.45 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | ( skolem67(_u3601, _u3600, _u3599) != skolem68(_u3601, _u3600, _u3599)) )).
% 12.28/12.45 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), skolem67(_u3601, _u3600, _u3599)), skolem68(_u3601, _u3600, _u3599)) != c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_def__lfp__induct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_def__lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3602) | ( _u3603 != c_Inductive_Ocomplete__lattice__class_Olfp(_u3602, _u3604)) | ~c_Orderings_Oorder__class_Omono(_u3602, _u3602, _u3604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), hAPP(_u3604, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3602), _u3603), _u3605))), _u3605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), _u3603), _u3605)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lfp__induct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3606) | ~c_Orderings_Oorder__class_Omono(_u3606, _u3606, _u3607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3606), hAPP(_u3607, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3606), c_Inductive_Ocomplete__lattice__class_Olfp(_u3606, _u3607)), _u3608))), _u3608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3606), c_Inductive_Ocomplete__lattice__class_Olfp(_u3606, _u3607)), _u3608)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u3614, _u3616, _u3618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622)) | c_Fun_Oinj__on(_u3614, _u3616, _u3618, _u3620) )).
% 12.28/12.45 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u3614, _u3616, _u3618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622)) | c_Fun_Oinj__on(_u3614, _u3616, _u3618, _u3622) )).
% 12.28/12.45 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u3614, _u3616, _u3618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3616, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3614, _u3616, _u3618), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622))), hAPP(c_Set_Oimage(_u3614, _u3616, _u3618), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3614, tc_HOL_Obool)), _u3622), _u3620))) = c_Orderings_Obot__class_Obot(tc_fun(_u3616, tc_HOL_Obool))) )).
% 12.28/12.45 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u3615, _u3617, _u3619, _u3621) | ~c_Fun_Oinj__on(_u3615, _u3617, _u3619, _u3623) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3617, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3615, _u3617, _u3619), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3615, tc_HOL_Obool)), _u3621), _u3623))), hAPP(c_Set_Oimage(_u3615, _u3617, _u3619), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3615, tc_HOL_Obool)), _u3623), _u3621))) != c_Orderings_Obot__class_Obot(tc_fun(_u3617, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3615, _u3617, _u3619, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3615, tc_HOL_Obool)), _u3621), _u3623)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u3624, _u3625, _u3626, c_Orderings_Obot__class_Obot(tc_fun(_u3624, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3627) | c_Fun_Oinj__on(_u3627, _u3627, c_Groups_Ouminus__class_Ouminus(_u3627), _u3628) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3629, tc_HOL_Obool)), _u3630), _u3631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3629, tc_HOL_Obool)), _u3631), _u3632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3629, tc_HOL_Obool)), _u3630), _u3632)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u3633, _u3634, _u3635, c_Orderings_Otop__class_Otop(tc_fun(_u3633, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3633, tc_fun(_u3636, _u3634), hAPP(hAPP(c_COMBB(_u3634, tc_fun(_u3636, _u3634), _u3633), c_COMBK(_u3634, _u3636)), _u3635), c_Orderings_Otop__class_Otop(tc_fun(_u3633, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u3645, _u3647, _u3649, _u3651) | ~hBOOL(hAPP(hAPP(c_member(_u3645), _u3638), _u3651)) | ~hBOOL(hAPP(hAPP(c_member(_u3645), _u3637), _u3651)) | ( hAPP(_u3649, _u3638) != hAPP(_u3649, _u3637)) | ( _u3638 = _u3637) )).
% 12.28/12.45 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | hBOOL(hAPP(hAPP(c_member(_u3646), skolem69(_u3652, _u3650, _u3648, _u3646)), _u3652)) )).
% 12.28/12.45 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | hBOOL(hAPP(hAPP(c_member(_u3646), skolem70(_u3652, _u3650, _u3648, _u3646)), _u3652)) )).
% 12.28/12.45 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | ( hAPP(_u3650, skolem69(_u3652, _u3650, _u3648, _u3646)) = hAPP(_u3650, skolem70(_u3652, _u3650, _u3648, _u3646))) )).
% 12.28/12.45 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | ( skolem69(_u3652, _u3650, _u3648, _u3646) != skolem70(_u3652, _u3650, _u3648, _u3646)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u3653, _u3653, c_COMBI(_u3653), _u3654) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lfp__const ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lfp__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3655) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u3655, hAPP(c_COMBK(_u3655, _u3655), _u3656)) = _u3656) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u3657, _u3658, _u3659, _u3660) | ( _u3661 = _u3662) | ~hBOOL(hAPP(hAPP(c_member(_u3657), _u3661), _u3660)) | ~hBOOL(hAPP(hAPP(c_member(_u3657), _u3662), _u3660)) | ( hAPP(_u3659, _u3661) != hAPP(_u3659, _u3662)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3663, _u3664, _u3665, _u3666) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3667), _u3666)) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3668), _u3666)) | ( hAPP(_u3665, _u3667) != hAPP(_u3665, _u3668)) | ( _u3667 = _u3668) )).
% 12.28/12.45 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3663, _u3664, _u3665, _u3666) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3667), _u3666)) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3668), _u3666)) | ( _u3667 != _u3668) | ( hAPP(_u3665, _u3667) = hAPP(_u3665, _u3668)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u3669, _u3670, _u3671, _u3672) | ( hAPP(_u3671, _u3673) != hAPP(_u3671, _u3674)) | ~hBOOL(hAPP(hAPP(c_member(_u3669), _u3673), _u3672)) | ~hBOOL(hAPP(hAPP(c_member(_u3669), _u3674), _u3672)) | ( _u3673 = _u3674) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u3675, _u3676, _u3677, _u3678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3675, tc_HOL_Obool)), _u3679), _u3678)) | c_Fun_Oinj__on(_u3675, _u3676, _u3677, _u3679) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_injD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_injD-1, axiom, ( ( hAPP(_u3682, _u3683) != hAPP(_u3682, _u3684)) | ( _u3683 = _u3684) | ~c_Fun_Oinj__on(_u3680, _u3681, _u3682, c_Orderings_Otop__class_Otop(tc_fun(_u3680, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3685, _u3686, _u3687, c_Orderings_Otop__class_Otop(tc_fun(_u3685, tc_HOL_Obool))) | ( hAPP(_u3687, _u3688) != hAPP(_u3687, _u3689)) | ( _u3688 = _u3689) )).
% 12.28/12.45 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u3685, _u3686, _u3687, c_Orderings_Otop__class_Otop(tc_fun(_u3685, tc_HOL_Obool))) | ( _u3688 != _u3689) | ( hAPP(_u3687, _u3688) = hAPP(_u3687, _u3689)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u3690, _u3691, _u3692, _u3693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3690, tc_HOL_Obool)), _u3694), _u3693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3691, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3690, _u3691, _u3692), _u3694)), hAPP(c_Set_Oimage(_u3690, _u3691, _u3692), _u3693))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u3695, _u3696, _u3697, _u3698) | ~c_Fun_Oinj__on(_u3695, _u3696, _u3697, _u3699) | c_Fun_Oinj__on(_u3695, _u3696, _u3697, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3695, tc_HOL_Obool)), _u3698), _u3699)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u3700, _u3701, _u3702, _u3703) | c_Fun_Oinj__on(_u3700, _u3701, _u3702, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3700, tc_HOL_Obool)), _u3703), _u3704)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u3705, _u3706, _u3707, _u3708, c_Orderings_Obot__class_Obot(tc_fun(_u3705, tc_HOL_Obool)), _u3708) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u3709, _u3710, _u3711, _u3712, c_Orderings_Obot__class_Obot(tc_fun(_u3709, tc_HOL_Obool)), _u3712) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_strict__mono__imp__inj__on ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_strict__mono__imp__inj__on-1, axiom, ( ~class_Orderings_Oorder(_u3713) | ~class_Orderings_Olinorder(_u3714) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3714, _u3713, _u3715) | c_Fun_Oinj__on(_u3714, _u3713, _u3715, _u3716) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lfp__lowerbound ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lfp__lowerbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), hAPP(_u3718, _u3719)), _u3719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), c_Inductive_Ocomplete__lattice__class_Olfp(_u3717, _u3718)), _u3719)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3720, _u3721, _u3722, c_Orderings_Otop__class_Otop(tc_fun(_u3720, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3723) != hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3724)) | ( _u3723 = _u3724) )).
% 12.28/12.45 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3720, _u3721, _u3722, c_Orderings_Otop__class_Otop(tc_fun(_u3720, tc_HOL_Obool))) | ( _u3723 != _u3724) | ( hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3723) = hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3724)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3725, _u3726, _u3727, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3725, tc_HOL_Obool)), _u3728), _u3729)) | ( hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3728) != hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3729)) | ( _u3728 = _u3729) )).
% 12.28/12.45 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3725, _u3726, _u3727, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3725, tc_HOL_Obool)), _u3728), _u3729)) | ( _u3728 != _u3729) | ( hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3728) = hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3729)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lfp__unfold ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3730) | ~c_Orderings_Oorder__class_Omono(_u3730, _u3730, _u3731) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u3730, _u3731) = hAPP(_u3731, c_Inductive_Ocomplete__lattice__class_Olfp(_u3730, _u3731))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_def__lfp__unfold ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_def__lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3732) | ( _u3733 != c_Inductive_Ocomplete__lattice__class_Olfp(_u3732, _u3734)) | ~c_Orderings_Oorder__class_Omono(_u3732, _u3732, _u3734) | ( _u3733 = hAPP(_u3734, _u3733)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 = hAPP(_u3741, skolem71(_u3742, _u3741, _u3740, _u3739))) )).
% 12.28/12.45 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 != hAPP(_u3741, _u3735)) | ( _u3735 = skolem71(_u3742, _u3741, _u3740, _u3739)) )).
% 12.28/12.45 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 != hAPP(_u3741, _u3738)) | ( _u3742 = hAPP(_u3741, skolem72(_u3742, _u3741, _u3740, _u3739, _u3738))) )).
% 12.28/12.45 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 != hAPP(_u3741, _u3738)) | ( skolem72(_u3742, _u3741, _u3740, _u3739, _u3738) != _u3738) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3743, _u3744, _u3745, c_Orderings_Otop__class_Otop(tc_fun(_u3743, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3744), hAPP(_u3745, _u3746)), hAPP(c_Set_Oimage(_u3743, _u3744, _u3745), _u3747))) | hBOOL(hAPP(hAPP(c_member(_u3743), _u3746), _u3747)) )).
% 12.28/12.45 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3743, _u3744, _u3745, c_Orderings_Otop__class_Otop(tc_fun(_u3743, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3743), _u3746), _u3747)) | hBOOL(hAPP(hAPP(c_member(_u3744), hAPP(_u3745, _u3746)), hAPP(c_Set_Oimage(_u3743, _u3744, _u3745), _u3747))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u3748, _u3749, _u3750, c_Orderings_Otop__class_Otop(tc_fun(_u3748, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3749, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3751)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3752))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3748, tc_HOL_Obool)), _u3751), _u3752)) )).
% 12.28/12.45 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u3748, _u3749, _u3750, c_Orderings_Otop__class_Otop(tc_fun(_u3748, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3748, tc_HOL_Obool)), _u3751), _u3752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3749, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3751)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3752))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u3753, _u3754, _u3755, _u3756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3753, tc_HOL_Obool)), _u3757), _u3756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3753, tc_HOL_Obool)), _u3758), _u3756)) | ( hAPP(c_Set_Oimage(_u3753, _u3754, _u3755), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3753, tc_HOL_Obool)), _u3757), _u3758)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3754, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3753, _u3754, _u3755), _u3757)), hAPP(c_Set_Oimage(_u3753, _u3754, _u3755), _u3758))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u3759, _u3760, _u3761, c_Orderings_Otop__class_Otop(tc_fun(_u3759, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3759, _u3760, _u3761), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3759, tc_HOL_Obool)), _u3762), _u3763)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3760, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3759, _u3760, _u3761), _u3762)), hAPP(c_Set_Oimage(_u3759, _u3760, _u3761), _u3763))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u3764, _u3765, _u3766, _u3767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3764, tc_HOL_Obool)), _u3768), _u3767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3764, tc_HOL_Obool)), _u3769), _u3767)) | ( hAPP(c_Set_Oimage(_u3764, _u3765, _u3766), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3764, tc_HOL_Obool)), _u3768), _u3769)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3765, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3764, _u3765, _u3766), _u3768)), hAPP(c_Set_Oimage(_u3764, _u3765, _u3766), _u3769))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u3770, _u3771, _u3772, c_Orderings_Otop__class_Otop(tc_fun(_u3770, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3770, _u3771, _u3772), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3770, tc_HOL_Obool)), _u3773), _u3774)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3771, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3770, _u3771, _u3772), _u3773)), hAPP(c_Set_Oimage(_u3770, _u3771, _u3772), _u3774))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u3775, _u3776, _u3777, _u3778) | hBOOL(hAPP(hAPP(c_member(_u3776), _u3779), hAPP(c_Set_Oimage(_u3775, _u3776, _u3777), _u3778))) | c_Fun_Oinj__on(_u3775, _u3776, c_Fun_Ofun__upd(_u3775, _u3776, _u3777, _u3780, _u3779), _u3778) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u3781, tc_fun(_u3781, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u3781, tc_fun(_u3781, tc_HOL_Obool), tc_fun(_u3781, tc_HOL_Obool)), c_Set_Oinsert(_u3781)), c_Orderings_Obot__class_Obot(tc_fun(_u3781, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3781, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lfp__lemma3 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3782) | ~c_Orderings_Oorder__class_Omono(_u3782, _u3782, _u3783) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3782), c_Inductive_Ocomplete__lattice__class_Olfp(_u3782, _u3783)), hAPP(_u3783, c_Inductive_Ocomplete__lattice__class_Olfp(_u3782, _u3783)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lfp__lemma2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3784) | ~c_Orderings_Oorder__class_Omono(_u3784, _u3784, _u3785) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3784), hAPP(_u3785, c_Inductive_Ocomplete__lattice__class_Olfp(_u3784, _u3785))), c_Inductive_Ocomplete__lattice__class_Olfp(_u3784, _u3785))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u3786, _u3787, _u3788, c_Orderings_Otop__class_Otop(tc_fun(_u3786, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3787, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3786, _u3787, _u3788), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3786, tc_HOL_Obool)), _u3789))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3787, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3786, _u3787, _u3788), _u3789)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u3795, _u3797, _u3799, hAPP(hAPP(c_Set_Oinsert(_u3795), _u3801), _u3803)) | c_Fun_Oinj__on(_u3795, _u3797, _u3799, _u3803) )).
% 12.28/12.45 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u3795, _u3797, _u3799, hAPP(hAPP(c_Set_Oinsert(_u3795), _u3801), _u3803)) | ~hBOOL(hAPP(hAPP(c_member(_u3797), hAPP(_u3799, _u3801)), hAPP(c_Set_Oimage(_u3795, _u3797, _u3799), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3795, tc_HOL_Obool)), _u3803), hAPP(hAPP(c_Set_Oinsert(_u3795), _u3801), c_Orderings_Obot__class_Obot(tc_fun(_u3795, tc_HOL_Obool))))))) )).
% 12.28/12.45 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u3796, _u3798, _u3800, _u3804) | hBOOL(hAPP(hAPP(c_member(_u3798), hAPP(_u3800, _u3802)), hAPP(c_Set_Oimage(_u3796, _u3798, _u3800), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3796, tc_HOL_Obool)), _u3804), hAPP(hAPP(c_Set_Oinsert(_u3796), _u3802), c_Orderings_Obot__class_Obot(tc_fun(_u3796, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u3796, _u3798, _u3800, hAPP(hAPP(c_Set_Oinsert(_u3796), _u3802), _u3804)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u3809 = c_Orderings_Obot__class_Obot(tc_fun(_u3810, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u3810, _u3811, _u3805, _u3809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3811, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3810, _u3811, _u3805), _u3809)), _u3812)) | ( hAPP(c_Set_Oimage(_u3811, _u3810, skolem73(_u3812, _u3811, _u3810, _u3809)), _u3812) = _u3809) )).
% 12.28/12.45 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u3809 = c_Orderings_Obot__class_Obot(tc_fun(_u3810, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3811, _u3810, _u3807), _u3812) != _u3809) | c_Fun_Oinj__on(_u3810, _u3811, skolem74(_u3812, _u3811, _u3810, _u3809), _u3809) )).
% 12.28/12.45 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u3809 = c_Orderings_Obot__class_Obot(tc_fun(_u3810, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3811, _u3810, _u3807), _u3812) != _u3809) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3811, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3810, _u3811, skolem74(_u3812, _u3811, _u3810, _u3809)), _u3809)), _u3812)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u3813, _u3814) = c_HOL_OThe(_u3813, _u3814)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3818, tc_HOL_Obool)), _u3820), hAPP(hAPP(c_Set_Oinsert(_u3818), _u3822), c_Orderings_Obot__class_Obot(tc_fun(_u3818, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u3818, _u3822, _u3820) = _u3822) )).
% 12.28/12.45 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3819, tc_HOL_Obool)), _u3821), hAPP(hAPP(c_Set_Oinsert(_u3819), _u3823), c_Orderings_Obot__class_Obot(tc_fun(_u3819, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u3819, _u3823, _u3821) = c_HOL_OThe(_u3819, hAPP(hAPP(c_COMBC(_u3819, tc_fun(_u3819, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3819)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3819, tc_HOL_Obool)), _u3821), hAPP(hAPP(c_Set_Oinsert(_u3819), _u3823), c_Orderings_Obot__class_Obot(tc_fun(_u3819, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( _u3843 = c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), _u3843)) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( _u3843 = c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool))) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = hAPP(hAPP(_u3839, skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835))) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( _u3843 = c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3835, tc_HOL_Obool)), _u3843), hAPP(hAPP(c_Set_Oinsert(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool)))), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = _u3841) | hBOOL(hAPP(hAPP(c_member(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), _u3843)) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = _u3841) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = hAPP(hAPP(_u3839, skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835))) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = _u3841) | c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3835, tc_HOL_Obool)), _u3843), hAPP(hAPP(c_Set_Oinsert(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool)))), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u3836, _u3838, _u3840, _u3842, _u3844, hAPP(hAPP(_u3840, _u3846), _u3848)) | ( _u3844 != c_Orderings_Obot__class_Obot(tc_fun(_u3836, tc_HOL_Obool))) | ( hAPP(hAPP(_u3840, _u3846), _u3848) != _u3842) )).
% 12.28/12.45 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u3836, _u3838, _u3840, _u3842, _u3844, hAPP(hAPP(_u3840, _u3846), _u3848)) | ~hBOOL(hAPP(hAPP(c_member(_u3836), _u3827), _u3844)) | ( hAPP(hAPP(_u3840, _u3846), _u3848) != hAPP(hAPP(_u3840, _u3827), _u3826)) | ~c_Nitpick_Ofold__graph_H(_u3836, _u3838, _u3840, _u3842, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3836, tc_HOL_Obool)), _u3844), hAPP(hAPP(c_Set_Oinsert(_u3836), _u3827), c_Orderings_Obot__class_Obot(tc_fun(_u3836, tc_HOL_Obool)))), _u3826) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u3850, _u3851, _u3852, _u3853) | ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3857), _u3855)) | ( hAPP(c_Set_Oimage(_u3850, _u3851, _u3852), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3850, tc_HOL_Obool)), _u3855), _u3856)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3851, tc_HOL_Obool)), _u3855), hAPP(hAPP(c_COMBB(tc_fun(_u3850, tc_HOL_Obool), tc_fun(_u3851, tc_HOL_Obool), _u3854), c_Set_Oimage(_u3850, _u3851, _u3852)), _u3856))) | hBOOL(hAPP(hAPP(c_member(_u3854), skolem77(_u3857, _u3856, _u3855, _u3854, _u3853, _u3852, _u3851, _u3850)), _u3855)) )).
% 12.28/12.45 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u3850, _u3851, _u3852, _u3853) | ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3857), _u3855)) | ( hAPP(c_Set_Oimage(_u3850, _u3851, _u3852), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3850, tc_HOL_Obool)), _u3855), _u3856)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3851, tc_HOL_Obool)), _u3855), hAPP(hAPP(c_COMBB(tc_fun(_u3850, tc_HOL_Obool), tc_fun(_u3851, tc_HOL_Obool), _u3854), c_Set_Oimage(_u3850, _u3851, _u3852)), _u3856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3850, tc_HOL_Obool)), hAPP(_u3856, skolem77(_u3857, _u3856, _u3855, _u3854, _u3853, _u3852, _u3851, _u3850))), _u3853)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u3858, _u3859, _u3860, _u3861) | ~hBOOL(hAPP(hAPP(c_member(_u3859), _u3862), hAPP(c_Set_Oimage(_u3858, _u3859, _u3860), _u3861))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3858, tc_HOL_Obool)), _u3861), _u3863)) | hBOOL(hAPP(hAPP(c_member(_u3858), hAPP(c_Fun_Othe__inv__into(_u3858, _u3859, _u3861, _u3860), _u3862)), _u3863)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u3864, _u3865, _u3866, c_Orderings_Otop__class_Otop(tc_fun(_u3864, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3864, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3864, _u3865, _u3866), hAPP(hAPP(c_Set_Oinsert(_u3865), _u3867), c_Orderings_Obot__class_Obot(tc_fun(_u3865, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u3864), c_HOL_OThe(_u3864, hAPP(hAPP(c_COMBC(_u3864, _u3865, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u3865, tc_fun(_u3865, tc_HOL_Obool), _u3864), c_fequal), _u3866)), _u3867))), c_Orderings_Obot__class_Obot(tc_fun(_u3864, tc_HOL_Obool))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__Inter-1, axiom, ( ( _u3869 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3870, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u3870, _u3871, _u3872, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3870, tc_HOL_Obool), _u3869)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3870, tc_HOL_Obool)), skolem78(_u3872, _u3871, _u3870, _u3869)), _u3869)) )).
% 12.28/12.45 cnf(fact_inj__on__Inter-2, axiom, ( ( _u3869 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3870, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u3870, _u3871, _u3872, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3870, tc_HOL_Obool), _u3869)) | ~c_Fun_Oinj__on(_u3870, _u3871, _u3872, skolem78(_u3872, _u3871, _u3870, _u3869)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u3873, _u3874) != _u3875) | ~hBOOL(hAPP(hAPP(c_member(_u3876), _u3875), _u3877)) | hBOOL(hAPP(hAPP(c_member(_u3878), _u3874), hAPP(c_Set_Ovimage(_u3878, _u3876, _u3873), _u3877))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3879, _u3879, c_COMBI(_u3879)), _u3880) = _u3880) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u3892, hAPP(_u3890, _u3894))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u3886, _u3888, _u3890), _u3892), _u3894)) )).
% 12.28/12.45 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u3893, hAPP(_u3891, _u3895))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u3887, _u3889, _u3891), _u3893), _u3895)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3905), hAPP(_u3907, _u3903)), _u3909)) | ~hBOOL(hAPP(hAPP(c_member(_u3901), _u3903), hAPP(c_Set_Ovimage(_u3901, _u3905, _u3907), _u3909))) )).
% 12.28/12.45 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3906), hAPP(_u3908, _u3904)), _u3910)) | hBOOL(hAPP(hAPP(c_member(_u3902), _u3904), hAPP(c_Set_Ovimage(_u3902, _u3906, _u3908), _u3910))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u3913), hAPP(_u3914, _u3912)), _u3915)) | ~hBOOL(hAPP(hAPP(c_member(_u3911), _u3912), hAPP(c_Set_Ovimage(_u3911, _u3913, _u3914), _u3915))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3916), hAPP(_u3917, _u3918)), _u3919)) | hBOOL(hAPP(hAPP(c_member(_u3920), _u3918), hAPP(c_Set_Ovimage(_u3920, _u3916, _u3917), _u3919))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3921, _u3922, _u3923), c_Orderings_Obot__class_Obot(tc_fun(_u3922, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3921, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3924, tc_HOL_Obool)), _u3925), _u3926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3927, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3927, _u3924, _u3928), _u3925)), hAPP(c_Set_Ovimage(_u3927, _u3924, _u3928), _u3926))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3929, _u3930, _u3931), c_Orderings_Otop__class_Otop(tc_fun(_u3930, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u3929, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3932, _u3933, _u3934), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3933, tc_HOL_Obool)), _u3935), _u3936)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3932, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3932, _u3933, _u3934), _u3935)), hAPP(c_Set_Ovimage(_u3932, _u3933, _u3934), _u3936))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3937, _u3938, _u3939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3938, tc_HOL_Obool)), _u3940), _u3941)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3937, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3937, _u3938, _u3939), _u3940)), hAPP(c_Set_Ovimage(_u3937, _u3938, _u3939), _u3941))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3942, _u3943, _u3944), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3943, tc_HOL_Obool)), _u3945), _u3946)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3942, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3942, _u3943, _u3944), _u3945)), hAPP(c_Set_Ovimage(_u3942, _u3943, _u3944), _u3946))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3947, _u3948, _u3949), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3948, tc_HOL_Obool)), _u3950)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3947, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3947, _u3948, _u3949), _u3950))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3951, _u3952, _u3953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3954, tc_fun(_u3952, tc_HOL_Obool)), _u3955), _u3956)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3954, tc_fun(_u3951, tc_HOL_Obool)), _u3955), hAPP(hAPP(c_COMBB(tc_fun(_u3952, tc_HOL_Obool), tc_fun(_u3951, tc_HOL_Obool), _u3954), c_Set_Ovimage(_u3951, _u3952, _u3953)), _u3956))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3957, _u3958, _u3959), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3960, tc_fun(_u3958, tc_HOL_Obool)), _u3961), _u3962)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3960, tc_fun(_u3957, tc_HOL_Obool)), _u3961), hAPP(hAPP(c_COMBB(tc_fun(_u3958, tc_HOL_Obool), tc_fun(_u3957, tc_HOL_Obool), _u3960), c_Set_Ovimage(_u3957, _u3958, _u3959)), _u3962))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3963, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3964, _u3963, _u3965), hAPP(c_Set_Ovimage(_u3964, _u3963, _u3965), _u3966))), _u3966)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u3967, _u3968, _u3969), c_Orderings_Otop__class_Otop(tc_fun(_u3967, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3968, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3967, _u3968, _u3969), hAPP(c_Set_Ovimage(_u3967, _u3968, _u3969), _u3970)) = _u3970) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3971, _u3972, _u3973), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3972, tc_HOL_Obool), _u3974)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u3972, tc_HOL_Obool), tc_fun(_u3971, tc_HOL_Obool)), _u3974), c_Set_Ovimage(_u3971, _u3972, _u3973))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u3986, _u3982) = _u3988) | ~hBOOL(hAPP(hAPP(c_member(_u3980), _u3982), hAPP(c_Set_Ovimage(_u3980, _u3984, _u3986), hAPP(hAPP(c_Set_Oinsert(_u3984), _u3988), c_Orderings_Obot__class_Obot(tc_fun(_u3984, tc_HOL_Obool)))))) )).
% 12.28/12.45 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u3987, _u3983) != _u3989) | hBOOL(hAPP(hAPP(c_member(_u3981), _u3983), hAPP(c_Set_Ovimage(_u3981, _u3985, _u3987), hAPP(hAPP(c_Set_Oinsert(_u3985), _u3989), c_Orderings_Obot__class_Obot(tc_fun(_u3985, tc_HOL_Obool)))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u3990, _u3991, _u3992), hAPP(hAPP(c_Set_Oinsert(_u3991), _u3993), _u3994)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3990, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3990, _u3991, _u3992), hAPP(hAPP(c_Set_Oinsert(_u3991), _u3993), c_Orderings_Obot__class_Obot(tc_fun(_u3991, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u3990, _u3991, _u3992), _u3994))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u3995, _u3996, _u3997), c_Orderings_Otop__class_Otop(tc_fun(_u3995, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3996, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3995, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3995, _u3996, _u3997), _u3998)), _u3999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3996, tc_HOL_Obool)), _u3998), hAPP(c_Set_Oimage(_u3995, _u3996, _u3997), _u3999))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u4000, _u4001, _u4002), hAPP(c_Set_Ovimage(_u4000, _u4001, _u4002), _u4003)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4001, tc_HOL_Obool)), _u4003), hAPP(c_Set_Oimage(_u4000, _u4001, _u4002), c_Orderings_Otop__class_Otop(tc_fun(_u4000, tc_HOL_Obool))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u4004, _u4005, _u4006, c_Orderings_Otop__class_Otop(tc_fun(_u4004, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u4004, _u4005, _u4006), hAPP(c_Set_Oimage(_u4004, _u4005, _u4006), _u4007)) = _u4007) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4012), _u4014), _u4016)) | ( hAPP(c_Set_Ovimage(_u4018, _u4012, hAPP(c_COMBK(_u4012, _u4018), _u4014)), _u4016) = c_Orderings_Otop__class_Otop(tc_fun(_u4018, tc_HOL_Obool))) )).
% 12.28/12.45 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4013), _u4015), _u4017)) | ( hAPP(c_Set_Ovimage(_u4019, _u4013, hAPP(c_COMBK(_u4013, _u4019), _u4015)), _u4017) = c_Orderings_Obot__class_Obot(tc_fun(_u4019, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4020, _u4021, _u4022), _u4023) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4021, tc_fun(_u4020, tc_HOL_Obool)), _u4023), hAPP(hAPP(c_COMBB(tc_fun(_u4021, tc_HOL_Obool), tc_fun(_u4020, tc_HOL_Obool), _u4021), c_Set_Ovimage(_u4020, _u4021, _u4022)), hAPP(hAPP(c_COMBC(_u4021, tc_fun(_u4021, tc_HOL_Obool), tc_fun(_u4021, tc_HOL_Obool)), c_Set_Oinsert(_u4021)), c_Orderings_Obot__class_Obot(tc_fun(_u4021, tc_HOL_Obool)))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u4024, _u4025, _u4026, _u4027) | ~hBOOL(hAPP(hAPP(c_member(_u4024), _u4028), _u4027)) | ( hAPP(c_Fun_Othe__inv__into(_u4024, _u4025, _u4027, _u4026), hAPP(_u4026, _u4028)) = _u4028) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u4029, _u4030, _u4031, _u4032) | ( hAPP(_u4031, _u4033) != _u4034) | ~hBOOL(hAPP(hAPP(c_member(_u4029), _u4033), _u4032)) | ( hAPP(c_Fun_Othe__inv__into(_u4029, _u4030, _u4032, _u4031), _u4034) = _u4033) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u4035, _u4036, _u4037, c_Orderings_Otop__class_Otop(tc_fun(_u4035, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u4035, _u4036, c_Orderings_Otop__class_Otop(tc_fun(_u4035, tc_HOL_Obool)), _u4037), hAPP(_u4037, _u4038)) = _u4038) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u4039, _u4040, _u4041, _u4042) | ( hAPP(c_Set_Oimage(_u4040, _u4039, c_Fun_Othe__inv__into(_u4039, _u4040, _u4042, _u4041)), hAPP(c_Set_Oimage(_u4039, _u4040, _u4041), _u4042)) = _u4042) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u4043, _u4044, _u4045, _u4046) | c_Fun_Oinj__on(_u4044, _u4043, c_Fun_Othe__inv__into(_u4043, _u4044, _u4046, _u4045), hAPP(c_Set_Oimage(_u4043, _u4044, _u4045), _u4046)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u4047, _u4048, _u4049, c_Orderings_Otop__class_Otop(tc_fun(_u4047, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4048, tc_HOL_Obool)), _u4050), hAPP(c_Set_Oimage(_u4047, _u4048, _u4049), _u4051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4047, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4047, _u4048, _u4049), _u4050)), _u4051)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u4052, _u4053, _u4054, _u4055), _u4056) = c_HOL_OThe(_u4052, hAPP(hAPP(c_COMBS(_u4052, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4052), c_fconj), hAPP(hAPP(c_COMBC(_u4052, tc_fun(_u4052, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4052)), _u4054))), hAPP(hAPP(c_COMBC(_u4052, _u4053, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4053, tc_fun(_u4053, tc_HOL_Obool), _u4052), c_fequal), _u4055)), _u4056)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4063), _u4065), _u4067)) | ~hBOOL(hAPP(hAPP(c_member(_u4063), _u4069), _u4067)) | ( hAPP(c_Set_Ovimage(_u4071, _u4063, hAPP(hAPP(c_COMBC(_u4071, _u4063, _u4063), hAPP(hAPP(c_COMBC(_u4071, _u4063, tc_fun(_u4063, _u4063)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4063, tc_fun(_u4063, _u4063)), _u4071), c_If(_u4063)), hAPP(hAPP(c_COMBC(_u4071, tc_fun(_u4071, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4071)), _u4073))), _u4065)), _u4069)), _u4067) = c_Orderings_Otop__class_Otop(tc_fun(_u4071, tc_HOL_Obool))) )).
% 12.28/12.45 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4063), _u4065), _u4067)) | hBOOL(hAPP(hAPP(c_member(_u4063), _u4069), _u4067)) | ( hAPP(c_Set_Ovimage(_u4071, _u4063, hAPP(hAPP(c_COMBC(_u4071, _u4063, _u4063), hAPP(hAPP(c_COMBC(_u4071, _u4063, tc_fun(_u4063, _u4063)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4063, tc_fun(_u4063, _u4063)), _u4071), c_If(_u4063)), hAPP(hAPP(c_COMBC(_u4071, tc_fun(_u4071, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4071)), _u4073))), _u4065)), _u4069)), _u4067) = _u4073) )).
% 12.28/12.45 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4064), _u4066), _u4068)) | ~hBOOL(hAPP(hAPP(c_member(_u4064), _u4070), _u4068)) | ( hAPP(c_Set_Ovimage(_u4072, _u4064, hAPP(hAPP(c_COMBC(_u4072, _u4064, _u4064), hAPP(hAPP(c_COMBC(_u4072, _u4064, tc_fun(_u4064, _u4064)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4064, tc_fun(_u4064, _u4064)), _u4072), c_If(_u4064)), hAPP(hAPP(c_COMBC(_u4072, tc_fun(_u4072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4072)), _u4074))), _u4066)), _u4070)), _u4068) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4072, tc_HOL_Obool)), _u4074)) )).
% 12.28/12.45 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4064), _u4066), _u4068)) | hBOOL(hAPP(hAPP(c_member(_u4064), _u4070), _u4068)) | ( hAPP(c_Set_Ovimage(_u4072, _u4064, hAPP(hAPP(c_COMBC(_u4072, _u4064, _u4064), hAPP(hAPP(c_COMBC(_u4072, _u4064, tc_fun(_u4064, _u4064)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4064, tc_fun(_u4064, _u4064)), _u4072), c_If(_u4064)), hAPP(hAPP(c_COMBC(_u4072, tc_fun(_u4072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4072)), _u4074))), _u4066)), _u4070)), _u4068) = c_Orderings_Obot__class_Obot(tc_fun(_u4072, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u4075, _u4076, _u4077, _u4078) | ~hBOOL(hAPP(hAPP(c_member(_u4076), _u4079), hAPP(c_Set_Oimage(_u4075, _u4076, _u4077), _u4078))) | ( hAPP(_u4077, hAPP(c_Fun_Othe__inv__into(_u4075, _u4076, _u4078, _u4077), _u4079)) = _u4079) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u4080) | ~class_Enum_Oenum(_u4081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4081, _u4080)), _u4082), _u4083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4081, _u4080)), _u4082), _u4083)) )).
% 12.28/12.45 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u4080) | ~class_Enum_Oenum(_u4081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4081, _u4080)), _u4082), _u4083)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4081), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4081), c_fNot), hAPP(hAPP(c_COMBS(_u4081, _u4080, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4080, tc_fun(_u4080, tc_HOL_Obool), _u4081), c_fequal), _u4082)), _u4083)))) )).
% 12.28/12.45 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u4080) | ~class_Enum_Oenum(_u4081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4081, _u4080)), _u4082), _u4083)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4081), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4081), c_fNot), hAPP(hAPP(c_COMBS(_u4081, _u4080, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4080, tc_fun(_u4080, tc_HOL_Obool), _u4081), c_fequal), _u4082)), _u4083)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4081, _u4080)), _u4082), _u4083)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__INTER-1, axiom, ( ( _u4085 = c_Orderings_Obot__class_Obot(tc_fun(_u4086, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4087, _u4088, _u4089, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4086, tc_fun(_u4087, tc_HOL_Obool)), _u4085), _u4090)) | hBOOL(hAPP(hAPP(c_member(_u4086), skolem79(_u4090, _u4089, _u4088, _u4087, _u4086, _u4085)), _u4085)) )).
% 12.28/12.45 cnf(fact_inj__on__INTER-2, axiom, ( ( _u4085 = c_Orderings_Obot__class_Obot(tc_fun(_u4086, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4087, _u4088, _u4089, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4086, tc_fun(_u4087, tc_HOL_Obool)), _u4085), _u4090)) | ~c_Fun_Oinj__on(_u4087, _u4088, _u4089, hAPP(_u4090, skolem79(_u4090, _u4089, _u4088, _u4087, _u4086, _u4085))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u4091, tc_fun(_u4091, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u4091, tc_HOL_Obool), tc_fun(tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool)), _u4091), hAPP(c_COMBC(tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u4091, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u4091, tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool)), c_Set_Oinsert(_u4091)), c_Orderings_Obot__class_Obot(tc_fun(_u4091, tc_HOL_Obool))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u4092, hAPP(hAPP(c_COMBC(_u4092, _u4092, tc_HOL_Obool), c_fequal), _u4093)) = _u4093) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u4094, hAPP(c_fequal, _u4095)) = _u4095) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4096, _u4097, _u4098, _u4099, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4096, tc_HOL_Obool)), _u4100), hAPP(hAPP(c_Set_Oinsert(_u4096), _u4101), c_Orderings_Obot__class_Obot(tc_fun(_u4096, tc_HOL_Obool))))), _u4102)) | ~hBOOL(hAPP(hAPP(c_member(_u4096), _u4101), _u4100)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4096, _u4097, _u4098, _u4099, _u4100), hAPP(hAPP(_u4098, _u4101), _u4102))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_rangeE ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_rangeE-1, axiom, ( ( _u4105 = hAPP(_u4107, skolem80(_u4107, _u4106, _u4105))) | ~hBOOL(hAPP(hAPP(c_member(_u4104), _u4105), hAPP(c_Set_Oimage(_u4106, _u4104, _u4107), c_Orderings_Otop__class_Otop(tc_fun(_u4106, tc_HOL_Obool))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mk__less__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mk__less__def-1, axiom, ( ~c_Partial__Function_Omk__less(_u4112, _u4114, _u4116, _u4118) | hBOOL(hAPP(hAPP(_u4114, _u4116), _u4118)) )).
% 12.28/12.45 cnf(fact_mk__less__def-2, axiom, ( ~c_Partial__Function_Omk__less(_u4112, _u4114, _u4116, _u4118) | ~hBOOL(hAPP(hAPP(_u4114, _u4118), _u4116)) )).
% 12.28/12.45 cnf(fact_mk__less__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u4115, _u4117), _u4119)) | hBOOL(hAPP(hAPP(_u4115, _u4119), _u4117)) | c_Partial__Function_Omk__less(_u4113, _u4115, _u4117, _u4119) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u4122) | ~hBOOL(hAPP(_u4123, _u4120)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4122), _u4123)) )).
% 12.28/12.45 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u4122) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4122), _u4123)) | hBOOL(hAPP(_u4123, skolem81(_u4123, _u4122))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u4126) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4126), _u4127)) | hBOOL(hAPP(_u4127, skolem82(_u4127, _u4126))) )).
% 12.28/12.45 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u4126) | ~hBOOL(hAPP(_u4127, _u4125)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4126), _u4127)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u4130, _u4131), hAPP(hAPP(_u4130, _u4131), _u4132)) = hAPP(hAPP(_u4130, _u4131), _u4132)) | ~c_Finite__Set_Ofun__left__comm__idem(_u4128, _u4129, _u4130) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u4133, _u4134, _u4135) | c_Finite__Set_Ofun__left__comm__idem(_u4136, _u4134, hAPP(hAPP(c_COMBB(_u4133, tc_fun(_u4134, _u4134), _u4136), _u4135), _u4137)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4138, _u4139, _u4140, _u4141, c_Orderings_Obot__class_Obot(tc_fun(_u4138, tc_HOL_Obool))), _u4141)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4142, _u4143, _u4144, _u4145, c_Orderings_Obot__class_Obot(tc_fun(_u4142, tc_HOL_Obool))), _u4145)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u4150 = _u4149) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4146, _u4147, _u4148, _u4149, c_Orderings_Obot__class_Obot(tc_fun(_u4146, tc_HOL_Obool))), _u4150)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u4151, tc_fun(_u4151, tc_HOL_Obool), c_Set_Oinsert(_u4151)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u4152) | c_Finite__Set_Ofun__left__comm__idem(_u4152, _u4152, c_Lattices_Osemilattice__sup__class_Osup(_u4152)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4153) | c_Finite__Set_Ofun__left__comm__idem(_u4153, _u4153, c_Lattices_Osemilattice__inf__class_Oinf(_u4153)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4154), _u4155), _u4156)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4154, _u4157, _u4158, _u4159, _u4156), _u4160)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4154, _u4157, _u4158, _u4159, hAPP(hAPP(c_Set_Oinsert(_u4154), _u4155), _u4156)), hAPP(hAPP(_u4158, _u4155), _u4160))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4161, _u4161, _u4162, _u4163, _u4164), _u4165)) | hBOOL(hAPP(hAPP(c_member(_u4161), _u4163), _u4164)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4161, _u4162, hAPP(hAPP(c_Set_Oinsert(_u4161), _u4163), _u4164)), _u4165)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4166) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4166, _u4166, c_Groups_Otimes__class_Otimes(_u4166), _u4167, _u4168), _u4169)) | ~hBOOL(hAPP(hAPP(c_member(_u4166), _u4170), _u4168)) | hBOOL(hAPP(hAPP(c_member(_u4166), _u4167), _u4168)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4166, _u4166, c_Groups_Otimes__class_Otimes(_u4166), _u4170, hAPP(hAPP(c_Set_Oinsert(_u4166), _u4167), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4166, tc_HOL_Obool)), _u4168), hAPP(hAPP(c_Set_Oinsert(_u4166), _u4170), c_Orderings_Obot__class_Obot(tc_fun(_u4166, tc_HOL_Obool)))))), _u4169)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__subset__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__subset__eq-1, axiom, ( ~c_Fun_Obij__betw(_u4171, _u4172, _u4173, c_Orderings_Otop__class_Otop(tc_fun(_u4171, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4172, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4171, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4171, _u4172, _u4173), _u4174)), _u4175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4172, tc_HOL_Obool)), _u4174), hAPP(c_Set_Oimage(_u4171, _u4172, _u4173), _u4175))) )).
% 12.28/12.45 cnf(fact_vimage__subset__eq-2, axiom, ( ~c_Fun_Obij__betw(_u4171, _u4172, _u4173, c_Orderings_Otop__class_Otop(tc_fun(_u4171, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4172, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4172, tc_HOL_Obool)), _u4174), hAPP(c_Set_Oimage(_u4171, _u4172, _u4173), _u4175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4171, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4171, _u4172, _u4173), _u4174)), _u4175)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_psubset__imp__ex__mem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_psubset__imp__ex__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4177, tc_HOL_Obool)), _u4178), _u4179)) | hBOOL(hAPP(hAPP(c_member(_u4177), skolem83(_u4179, _u4178, _u4177)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4177, tc_HOL_Obool)), _u4179), _u4178))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u4180, _u4181, _u4182, hAPP(c_Set_Oimage(_u4183, _u4180, _u4184), _u4185)) | ~c_Fun_Oinj__on(_u4183, _u4180, _u4184, _u4185) | ~hBOOL(hAPP(hAPP(c_member(_u4181), _u4186), hAPP(c_Set_Oimage(_u4180, _u4181, _u4182), hAPP(c_Set_Oimage(_u4183, _u4180, _u4184), _u4185)))) | ( hAPP(c_Fun_Othe__inv__into(_u4183, _u4181, _u4185, hAPP(c_Fun_Ocomp(_u4180, _u4181, _u4183, _u4182), _u4184)), _u4186) = hAPP(hAPP(c_Fun_Ocomp(_u4180, _u4183, _u4181, c_Fun_Othe__inv__into(_u4183, _u4180, _u4185, _u4184)), c_Fun_Othe__inv__into(_u4180, _u4181, hAPP(c_Set_Oimage(_u4183, _u4180, _u4184), _u4185), _u4182)), _u4186)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4193), _u4195), _u4197)) | ( hAPP(c_Fun_Ooverride__on(_u4193, _u4199, _u4201, _u4203, _u4197), _u4195) = hAPP(_u4203, _u4195)) )).
% 12.28/12.45 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4194), _u4196), _u4198)) | ( hAPP(c_Fun_Ooverride__on(_u4194, _u4200, _u4202, _u4204, _u4198), _u4196) = hAPP(_u4202, _u4196)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__inter__cong ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__inter__cong-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4208), _u4211)), _u4207) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4209), _u4211)), _u4207)) | hBOOL(hAPP(hAPP(c_member(_u4206), skolem84(_u4211, _u4210, _u4209, _u4208, _u4207, _u4206)), _u4207)) )).
% 12.28/12.45 cnf(fact_vimage__inter__cong-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4208), _u4211)), _u4207) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4209), _u4211)), _u4207)) | ( hAPP(_u4208, skolem84(_u4211, _u4210, _u4209, _u4208, _u4207, _u4206)) != hAPP(_u4209, skolem84(_u4211, _u4210, _u4209, _u4208, _u4207, _u4206))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4212, _u4213, _u4214) | ( hAPP(_u4214, hAPP(hAPP(c_Set_Oinsert(_u4212), _u4215), c_Orderings_Obot__class_Obot(tc_fun(_u4212, tc_HOL_Obool)))) = _u4215) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u4216, _u4217, _u4218, hAPP(c_COMBK(_u4217, _u4216), _u4219)), _u4220), _u4221) = _u4219) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u4225, hAPP(_u4226, _u4228)) = hAPP(_u4227, _u4228)) | ( hAPP(c_Fun_Ocomp(_u4222, _u4223, _u4224, _u4225), _u4226) != _u4227) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4229) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4229), _u4230), _u4230) = _u4230) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4231) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4231), _u4232), _u4232) = _u4232) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), _u4234), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), _u4234), _u4235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), _u4234), _u4235)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4236) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), _u4237), _u4238)), _u4239) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), _u4237), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), _u4238), _u4239))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_o__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u4240, _u4241, _u4242, _u4243), _u4244), _u4245) = hAPP(_u4243, hAPP(_u4244, _u4245))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4246, _u4247, _u4248, _u4249), hAPP(c_Fun_Ocomp(_u4250, _u4246, _u4248, _u4251), _u4252)) = hAPP(c_Fun_Ocomp(_u4250, _u4247, _u4248, hAPP(c_Fun_Ocomp(_u4246, _u4247, _u4250, _u4249), _u4251)), _u4252)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u4253, _u4254, _u4255, _u4256), _u4257), _u4258) = hAPP(_u4256, hAPP(_u4257, _u4258))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u4262, hAPP(_u4263, _u4267)) = hAPP(_u4265, hAPP(_u4266, _u4267))) | ( hAPP(c_Fun_Ocomp(_u4259, _u4260, _u4261, _u4262), _u4263) != hAPP(c_Fun_Ocomp(_u4264, _u4260, _u4261, _u4265), _u4266)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u4272, hAPP(_u4273, _u4268)) = hAPP(_u4275, hAPP(_u4276, _u4268))) | ( hAPP(c_Fun_Ocomp(_u4269, _u4270, _u4271, _u4272), _u4273) != hAPP(c_Fun_Ocomp(_u4274, _u4270, _u4271, _u4275), _u4276)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__comp__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__comp__iff-1, axiom, ( ~c_Fun_Obij__betw(_u4277, _u4278, _u4279, _u4280, _u4281) | ~c_Fun_Obij__betw(_u4278, _u4282, _u4283, _u4281, _u4284) | c_Fun_Obij__betw(_u4277, _u4282, hAPP(c_Fun_Ocomp(_u4278, _u4282, _u4277, _u4283), _u4279), _u4280, _u4284) )).
% 12.28/12.45 cnf(fact_bij__betw__comp__iff-2, axiom, ( ~c_Fun_Obij__betw(_u4277, _u4278, _u4279, _u4280, _u4281) | ~c_Fun_Obij__betw(_u4277, _u4282, hAPP(c_Fun_Ocomp(_u4278, _u4282, _u4277, _u4283), _u4279), _u4280, _u4284) | c_Fun_Obij__betw(_u4278, _u4282, _u4283, _u4281, _u4284) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__trans ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__trans-1, axiom, ( ~c_Fun_Obij__betw(_u4285, _u4286, _u4287, _u4288, _u4289) | ~c_Fun_Obij__betw(_u4286, _u4290, _u4291, _u4289, _u4292) | c_Fun_Obij__betw(_u4285, _u4290, hAPP(c_Fun_Ocomp(_u4286, _u4290, _u4285, _u4291), _u4287), _u4288, _u4292) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__comp-1, axiom, ( ~c_Fun_Obij__betw(_u4293, _u4294, _u4295, c_Orderings_Otop__class_Otop(tc_fun(_u4293, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4294, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u4294, _u4296, _u4297, c_Orderings_Otop__class_Otop(tc_fun(_u4294, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4296, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4293, _u4296, hAPP(c_Fun_Ocomp(_u4294, _u4296, _u4293, _u4297), _u4295), c_Orderings_Otop__class_Otop(tc_fun(_u4293, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4296, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__comp__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__comp__iff2-1, axiom, ( ~c_Fun_Obij__betw(_u4298, _u4299, _u4300, _u4301, _u4302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4298, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4303, _u4298, _u4304), _u4305)), _u4301)) | ~c_Fun_Obij__betw(_u4303, _u4298, _u4304, _u4305, _u4301) | c_Fun_Obij__betw(_u4303, _u4299, hAPP(c_Fun_Ocomp(_u4298, _u4299, _u4303, _u4300), _u4304), _u4305, _u4302) )).
% 12.28/12.45 cnf(fact_bij__betw__comp__iff2-2, axiom, ( ~c_Fun_Obij__betw(_u4298, _u4299, _u4300, _u4301, _u4302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4298, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4303, _u4298, _u4304), _u4305)), _u4301)) | ~c_Fun_Obij__betw(_u4303, _u4299, hAPP(c_Fun_Ocomp(_u4298, _u4299, _u4303, _u4300), _u4304), _u4305, _u4302) | c_Fun_Obij__betw(_u4303, _u4298, _u4304, _u4305, _u4301) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u4306, _u4307, hAPP(c_Fun_Ocomp(_u4308, _u4307, _u4306, _u4309), _u4310)), _u4311) = hAPP(c_Set_Oimage(_u4308, _u4307, _u4309), hAPP(c_Set_Oimage(_u4306, _u4308, _u4310), _u4311))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u4312, _u4313, hAPP(c_Fun_Ocomp(_u4314, _u4313, _u4312, _u4315), _u4316), _u4317) | c_Fun_Oinj__on(_u4312, _u4314, _u4316, _u4317) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__empty2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__empty2-1, axiom, ( ~c_Fun_Obij__betw(_u4318, _u4319, _u4320, _u4321, c_Orderings_Obot__class_Obot(tc_fun(_u4319, tc_HOL_Obool))) | ( _u4321 = c_Orderings_Obot__class_Obot(tc_fun(_u4318, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__empty1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__empty1-1, axiom, ( ( _u4325 = c_Orderings_Obot__class_Obot(tc_fun(_u4323, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u4322, _u4323, _u4324, c_Orderings_Obot__class_Obot(tc_fun(_u4322, tc_HOL_Obool)), _u4325) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4326, _u4327, _u4328, _u4329), c_Fun_Ofun__upd(_u4328, _u4326, _u4330, _u4331, _u4332)) = c_Fun_Ofun__upd(_u4328, _u4327, hAPP(c_Fun_Ocomp(_u4326, _u4327, _u4328, _u4329), _u4330), _u4331, hAPP(_u4329, _u4332))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u4333, _u4334, hAPP(c_Fun_Ocomp(_u4335, _u4334, _u4333, _u4336), _u4337)), _u4338) = hAPP(c_Set_Ovimage(_u4333, _u4335, _u4337), hAPP(c_Set_Ovimage(_u4335, _u4334, _u4336), _u4338))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__imp__inj__on ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__imp__inj__on-1, axiom, ( ~c_Fun_Obij__betw(_u4339, _u4340, _u4341, _u4342, _u4343) | c_Fun_Oinj__on(_u4339, _u4340, _u4341, _u4342) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4345, _u4345, _u4345, hAPP(_u4346, _u4347)), hAPP(_u4346, _u4347)) = hAPP(_u4346, _u4347)) | ~c_Finite__Set_Ofun__left__comm__idem(_u4344, _u4345, _u4346) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__the__inv__into ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__the__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u4348, _u4349, _u4350, _u4351, _u4352) | c_Fun_Obij__betw(_u4349, _u4348, c_Fun_Othe__inv__into(_u4348, _u4349, _u4351, _u4350), _u4352, _u4351) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4353) | c_Finite__Set_Ofun__left__comm__idem(_u4353, _u4353, c_Groups_Otimes__class_Otimes(_u4353)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u4354, _u4355, _u4356), c_Orderings_Otop__class_Otop(tc_fun(_u4354, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4355, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4355, _u4357, _u4358), c_Orderings_Otop__class_Otop(tc_fun(_u4355, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4357, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4354, _u4357, hAPP(c_Fun_Ocomp(_u4355, _u4357, _u4354, _u4358), _u4356)), c_Orderings_Otop__class_Otop(tc_fun(_u4354, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4357, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4359, tc_fun(_u4360, tc_HOL_Obool)), _u4361), hAPP(c_Fun_Ocomp(_u4362, tc_fun(_u4360, tc_HOL_Obool), _u4359, _u4363), _u4364)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4362, tc_fun(_u4360, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4359, _u4362, _u4364), _u4361)), _u4363)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u4365, _u4366, _u4367, c_Orderings_Otop__class_Otop(tc_fun(_u4365, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u4368, _u4365, _u4369, c_Orderings_Otop__class_Otop(tc_fun(_u4368, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4368, _u4366, hAPP(c_Fun_Ocomp(_u4365, _u4366, _u4368, _u4367), _u4369), c_Orderings_Otop__class_Otop(tc_fun(_u4368, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u4370, _u4371, hAPP(c_Fun_Ocomp(_u4372, _u4371, _u4370, _u4373), _u4374), _u4375) | c_Fun_Oinj__on(_u4372, _u4371, _u4373, hAPP(c_Set_Oimage(_u4370, _u4372, _u4374), _u4375)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u4376, _u4377, _u4378, _u4379) | ~c_Fun_Oinj__on(_u4377, _u4380, _u4381, hAPP(c_Set_Oimage(_u4376, _u4377, _u4378), _u4379)) | c_Fun_Oinj__on(_u4376, _u4380, hAPP(c_Fun_Ocomp(_u4377, _u4380, _u4376, _u4381), _u4378), _u4379) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u4382, _u4383, _u4384, _u4385) | ~c_Fun_Oinj__on(_u4383, _u4386, _u4387, hAPP(c_Set_Oimage(_u4382, _u4383, _u4384), _u4385)) | c_Fun_Oinj__on(_u4382, _u4386, hAPP(c_Fun_Ocomp(_u4383, _u4386, _u4382, _u4387), _u4384), _u4385) )).
% 12.28/12.45 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u4382, _u4383, _u4384, _u4385) | ~c_Fun_Oinj__on(_u4382, _u4386, hAPP(c_Fun_Ocomp(_u4383, _u4386, _u4382, _u4387), _u4384), _u4385) | c_Fun_Oinj__on(_u4383, _u4386, _u4387, hAPP(c_Set_Oimage(_u4382, _u4383, _u4384), _u4385)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__subset-1, axiom, ( ~c_Fun_Obij__betw(_u4388, _u4389, _u4390, _u4391, _u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4388, tc_HOL_Obool)), _u4393), _u4391)) | ( hAPP(c_Set_Oimage(_u4388, _u4389, _u4390), _u4393) != _u4394) | c_Fun_Obij__betw(_u4388, _u4389, _u4390, _u4393, _u4394) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__imp__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__imp__surj-1, axiom, ( ~c_Fun_Obij__betw(_u4395, _u4396, _u4397, _u4398, c_Orderings_Otop__class_Otop(tc_fun(_u4396, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4395, _u4396, _u4397), c_Orderings_Otop__class_Otop(tc_fun(_u4395, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4396, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__is__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__is__surj-1, axiom, ( ~c_Fun_Obij__betw(_u4399, _u4400, _u4401, c_Orderings_Otop__class_Otop(tc_fun(_u4399, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4400, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4399, _u4400, _u4401), c_Orderings_Otop__class_Otop(tc_fun(_u4399, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4400, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__is__inj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__is__inj-1, axiom, ( ~c_Fun_Obij__betw(_u4402, _u4403, _u4404, c_Orderings_Otop__class_Otop(tc_fun(_u4402, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4403, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4402, _u4403, _u4404, c_Orderings_Otop__class_Otop(tc_fun(_u4402, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__imp__bij__betw ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__on__imp__bij__betw-1, axiom, ( ~c_Fun_Oinj__on(_u4405, _u4406, _u4407, _u4408) | c_Fun_Obij__betw(_u4405, _u4406, _u4407, _u4408, hAPP(c_Set_Oimage(_u4405, _u4406, _u4407), _u4408)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__def-1, axiom, ( ~c_Fun_Obij__betw(_u4414, _u4416, _u4418, _u4420, _u4422) | c_Fun_Oinj__on(_u4414, _u4416, _u4418, _u4420) )).
% 12.28/12.45 cnf(fact_bij__betw__def-2, axiom, ( ~c_Fun_Obij__betw(_u4414, _u4416, _u4418, _u4420, _u4422) | ( hAPP(c_Set_Oimage(_u4414, _u4416, _u4418), _u4420) = _u4422) )).
% 12.28/12.45 cnf(fact_bij__betw__def-3, axiom, ( ~c_Fun_Oinj__on(_u4415, _u4417, _u4419, _u4421) | ( hAPP(c_Set_Oimage(_u4415, _u4417, _u4419), _u4421) != _u4423) | c_Fun_Obij__betw(_u4415, _u4417, _u4419, _u4421, _u4423) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4424, _u4425, _u4426), _u4427)) | ( _u4426 != c_Orderings_Obot__class_Obot(tc_fun(_u4424, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4428, _u4429, c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))), _u4430)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u4431, _u4432, _u4433, _u4434, _u4435) | ~c_Fun_Obij__betw(_u4431, _u4432, _u4433, _u4436, _u4437) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4432, tc_HOL_Obool)), _u4435), _u4437) != c_Orderings_Obot__class_Obot(tc_fun(_u4432, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4431, _u4432, _u4433, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4431, tc_HOL_Obool)), _u4434), _u4436), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4432, tc_HOL_Obool)), _u4435), _u4437)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__Disj__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__Disj__Un-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), _u4439), _u4440) != c_Orderings_Obot__class_Obot(tc_fun(_u4438, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4441, tc_HOL_Obool)), _u4442), _u4443) != c_Orderings_Obot__class_Obot(tc_fun(_u4441, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u4438, _u4441, _u4444, _u4439, _u4442) | ~c_Fun_Obij__betw(_u4438, _u4441, _u4444, _u4440, _u4443) | c_Fun_Obij__betw(_u4438, _u4441, _u4444, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4438, tc_HOL_Obool)), _u4439), _u4440), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4441, tc_HOL_Obool)), _u4442), _u4443)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__def-1, axiom, ( ~c_Fun_Obij__betw(_u4448, _u4450, _u4452, c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4450, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4448, _u4450, _u4452, c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool))) )).
% 12.28/12.45 cnf(fact_bij__def-2, axiom, ( ~c_Fun_Obij__betw(_u4448, _u4450, _u4452, c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4450, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4448, _u4450, _u4452), c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4450, tc_HOL_Obool))) )).
% 12.28/12.45 cnf(fact_bij__def-3, axiom, ( ~c_Fun_Oinj__on(_u4449, _u4451, _u4453, c_Orderings_Otop__class_Otop(tc_fun(_u4449, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4449, _u4451, _u4453), c_Orderings_Otop__class_Otop(tc_fun(_u4449, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4451, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4449, _u4451, _u4453, c_Orderings_Otop__class_Otop(tc_fun(_u4449, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4451, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bijI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bijI-1, axiom, ( ~c_Fun_Oinj__on(_u4454, _u4455, _u4456, c_Orderings_Otop__class_Otop(tc_fun(_u4454, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4454, _u4455, _u4456), c_Orderings_Otop__class_Otop(tc_fun(_u4454, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4455, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4454, _u4455, _u4456, c_Orderings_Otop__class_Otop(tc_fun(_u4454, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4455, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4457), _u4458), _u4459)) | ( hAPP(c_Fun_Ooverride__on(_u4457, _u4460, _u4461, _u4462, _u4459), _u4458) = hAPP(_u4462, _u4458)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u4463), _u4464), _u4465)) | ( hAPP(c_Fun_Ooverride__on(_u4463, _u4466, _u4467, _u4468, _u4465), _u4464) = hAPP(_u4467, _u4464)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__image__Compl__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__image__Compl__eq-1, axiom, ( ~c_Fun_Obij__betw(_u4469, _u4470, _u4471, c_Orderings_Otop__class_Otop(tc_fun(_u4469, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4470, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4469, _u4470, _u4471), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4469, tc_HOL_Obool)), _u4472)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4470, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4469, _u4470, _u4471), _u4472))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u4473, _u4474, _u4475, _u4476, c_Orderings_Obot__class_Obot(tc_fun(_u4473, tc_HOL_Obool))) = _u4475) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4477) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4477, _u4477, c_Groups_Otimes__class_Otimes(_u4477), _u4478, _u4479), _u4480)) | hBOOL(hAPP(hAPP(c_member(_u4477), _u4478), _u4479)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4477, _u4477, c_Groups_Otimes__class_Otimes(_u4477), _u4481, hAPP(hAPP(c_Set_Oinsert(_u4477), _u4478), _u4479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4477), _u4481), _u4480))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__image__INT ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__image__INT-1, axiom, ( ~c_Fun_Obij__betw(_u4482, _u4483, _u4484, c_Orderings_Otop__class_Otop(tc_fun(_u4482, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4483, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4482, _u4483, _u4484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4485, tc_fun(_u4482, tc_HOL_Obool)), _u4486), _u4487)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4485, tc_fun(_u4483, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_COMBB(tc_fun(_u4482, tc_HOL_Obool), tc_fun(_u4483, tc_HOL_Obool), _u4485), c_Set_Oimage(_u4482, _u4483, _u4484)), _u4487))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1Set__sing-1, axiom, ( ( _u4496 = _u4498) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4492, _u4494, hAPP(hAPP(c_Set_Oinsert(_u4492), _u4496), c_Orderings_Obot__class_Obot(tc_fun(_u4492, tc_HOL_Obool)))), _u4498)) )).
% 12.28/12.45 cnf(fact_fold1Set__sing-2, axiom, ( ( _u4497 != _u4499) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4493, _u4495, hAPP(hAPP(c_Set_Oinsert(_u4493), _u4497), c_Orderings_Obot__class_Obot(tc_fun(_u4493, tc_HOL_Obool)))), _u4499)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u4500) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4500), _u4501), _u4502)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4500), _u4501), hAPP(c_Groups_Ouminus__class_Ouminus(_u4500), _u4502))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u4503) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4503), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4503), _u4504), _u4505)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4503), hAPP(c_Groups_Ouminus__class_Ouminus(_u4503), _u4504)), _u4505)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u4506) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4506), hAPP(c_Groups_Ouminus__class_Ouminus(_u4506), _u4507)), _u4508) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4506), _u4507), hAPP(c_Groups_Ouminus__class_Ouminus(_u4506), _u4508))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u4509) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4509), hAPP(c_Groups_Ouminus__class_Ouminus(_u4509), _u4510)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4509), _u4511)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4509), _u4510), _u4511)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u4512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4513) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4514), _u4514)) | ( _u4513 = _u4514) | ( _u4513 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4512), _u4514)) )).
% 12.28/12.45 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u4512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4514), _u4514)) | ( _u4513 != _u4514) )).
% 12.28/12.45 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u4512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4514), _u4514)) | ( _u4513 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4512), _u4514)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4515, _u4516, _u4517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4515), _u4518)) | ~hBOOL(hAPP(hAPP(c_member(_u4515), _u4519), _u4518)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4515, tc_HOL_Obool)), _u4518), hAPP(hAPP(c_Set_Oinsert(_u4515), _u4519), c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool))) | ( hAPP(_u4517, _u4518) = _u4519) )).
% 12.28/12.45 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u4515, _u4516, _u4517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4515), _u4518)) | ~hBOOL(hAPP(hAPP(c_member(_u4515), _u4519), _u4518)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4515, tc_HOL_Obool)), _u4518), hAPP(hAPP(c_Set_Oinsert(_u4515), _u4519), c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool))) | ( hAPP(_u4517, _u4518) = hAPP(hAPP(_u4516, _u4519), hAPP(_u4517, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4515, tc_HOL_Obool)), _u4518), hAPP(hAPP(c_Set_Oinsert(_u4515), _u4519), c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4529, _u4531, hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535)), _u4537)) | ( hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535) = hAPP(hAPP(c_Set_Oinsert(_u4529), skolem85(_u4537, _u4535, _u4533, _u4531, _u4529)), skolem86(_u4537, _u4535, _u4533, _u4531, _u4529))) )).
% 12.28/12.45 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4529, _u4531, hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535)), _u4537)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4529, _u4529, _u4531, skolem85(_u4537, _u4535, _u4533, _u4531, _u4529), skolem86(_u4537, _u4535, _u4533, _u4531, _u4529)), _u4537)) )).
% 12.28/12.45 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4529, _u4531, hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535)), _u4537)) | ~hBOOL(hAPP(hAPP(c_member(_u4529), skolem85(_u4537, _u4535, _u4533, _u4531, _u4529)), skolem86(_u4537, _u4535, _u4533, _u4531, _u4529))) )).
% 12.28/12.45 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u4530), _u4534), _u4536) != hAPP(hAPP(c_Set_Oinsert(_u4530), _u4523), _u4522)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4530, _u4530, _u4532, _u4523, _u4522), _u4538)) | hBOOL(hAPP(hAPP(c_member(_u4530), _u4523), _u4522)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4530, _u4532, hAPP(hAPP(c_Set_Oinsert(_u4530), _u4534), _u4536)), _u4538)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4541, _u4542, hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544)), _u4545)) | ( hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544) = hAPP(hAPP(c_Set_Oinsert(_u4541), skolem87(_u4545, _u4544, _u4543, _u4542, _u4541)), skolem88(_u4545, _u4544, _u4543, _u4542, _u4541))) )).
% 12.28/12.45 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4541, _u4542, hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544)), _u4545)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4541, _u4541, _u4542, skolem87(_u4545, _u4544, _u4543, _u4542, _u4541), skolem88(_u4545, _u4544, _u4543, _u4542, _u4541)), _u4545)) )).
% 12.28/12.45 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4541, _u4542, hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544)), _u4545)) | ~hBOOL(hAPP(hAPP(c_member(_u4541), skolem87(_u4545, _u4544, _u4543, _u4542, _u4541)), skolem88(_u4545, _u4544, _u4543, _u4542, _u4541))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4546), c_Orderings_Obot__class_Obot(tc_fun(_u4546, tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), hAPP(hAPP(c_Set_Oinsert(_u4547), _u4549), _u4548))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4550), _u4551)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4552), hAPP(c_Set_Oimage(_u4550, _u4552, _u4553), _u4551))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4554, tc_HOL_Obool)), _u4555), _u4556))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), _u4555)) )).
% 12.28/12.45 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4554, tc_HOL_Obool)), _u4555), _u4556))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), _u4556)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4557), _u4558)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4557, tc_HOL_Obool)), _u4558), _u4559))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4561, tc_HOL_Obool)), _u4560), _u4562)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4561), _u4560)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4561), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u4561, tc_HOL_Obool), _u4562))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4564), _u4563), _u4565)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4566), hAPP(_u4567, _u4563))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4566), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4564, tc_fun(_u4566, tc_HOL_Obool)), _u4565), _u4567))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4570, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4570), _u4572))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4570), _u4572)) )).
% 12.28/12.45 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4571), _u4573)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4571, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4571), _u4573))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u4574) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4574), _u4575)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u4576) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4576), _u4577)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4578), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4578, tc_HOL_Obool), _u4579))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4578, tc_HOL_Obool)), _u4579)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4580), c_Orderings_Otop__class_Otop(tc_fun(_u4580, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4581), c_Orderings_Otop__class_Otop(tc_fun(_u4581, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u4580, _u4581)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u4580, _u4581), tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4584, _u4586)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4584, _u4586), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4584), c_Orderings_Otop__class_Otop(tc_fun(_u4584, tc_HOL_Obool)))) )).
% 12.28/12.45 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4584, _u4586)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4584, _u4586), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4586), c_Orderings_Otop__class_Otop(tc_fun(_u4586, tc_HOL_Obool)))) )).
% 12.28/12.45 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4585), c_Orderings_Otop__class_Otop(tc_fun(_u4585, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4587), c_Orderings_Otop__class_Otop(tc_fun(_u4587, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4585, _u4587)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4585, _u4587), tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4589)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4589), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4589), c_Orderings_Otop__class_Otop(tc_fun(_u4589, tc_HOL_Obool)))) )).
% 12.28/12.45 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4590), c_Orderings_Otop__class_Otop(tc_fun(_u4590, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4590)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4590), tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4591), c_Orderings_Obot__class_Obot(tc_fun(_u4591, tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4595), hAPP(hAPP(c_Set_Oinsert(_u4595), _u4597), _u4599))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4595), _u4599)) )).
% 12.28/12.45 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), _u4600)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), hAPP(hAPP(c_Set_Oinsert(_u4596), _u4598), _u4600))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4602), c_Orderings_Otop__class_Otop(tc_fun(_u4602, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4601, _u4602)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u4601, _u4602), tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4603, tc_HOL_Obool)), _u4604), _u4605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4605)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4604)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4606), _u4607)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4606, tc_HOL_Obool)), _u4608), _u4607)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4606), _u4608)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u4609) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4609), c_Orderings_Otop__class_Otop(tc_fun(_u4609, tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4613, tc_HOL_Obool)), _u4615), _u4617))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4615)) )).
% 12.28/12.45 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4613, tc_HOL_Obool)), _u4615), _u4617))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4617)) )).
% 12.28/12.45 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4616)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4618)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4614, tc_HOL_Obool)), _u4616), _u4618))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4619), _u4620)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4619), _u4621)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4619), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4619, tc_HOL_Obool)), _u4620), _u4621))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4622, tc_HOL_Obool)), _u4624), _u4623))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4624)) )).
% 12.28/12.45 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4624)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4622, tc_HOL_Obool)), _u4624), _u4623))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4627), _u4628)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4627, tc_fun(_u4629, tc_HOL_Obool)), _u4628), _u4630))) | ~hBOOL(hAPP(hAPP(c_member(_u4627), _u4625), _u4628)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(_u4630, _u4625))) )).
% 12.28/12.45 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4627), _u4628)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4627, tc_fun(_u4629, tc_HOL_Obool)), _u4628), _u4630))) | hBOOL(hAPP(hAPP(c_member(_u4627), skolem89(_u4630, _u4629, _u4628, _u4627)), _u4628)) )).
% 12.28/12.45 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4627), _u4628)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4627, tc_fun(_u4629, tc_HOL_Obool)), _u4628), _u4630))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(_u4630, skolem89(_u4630, _u4629, _u4628, _u4627)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_bij__betw__finite ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_bij__betw__finite-1, axiom, ( ~c_Fun_Obij__betw(_u4631, _u4632, _u4633, _u4634, _u4635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4631), _u4634)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4635)) )).
% 12.28/12.45 cnf(fact_bij__betw__finite-2, axiom, ( ~c_Fun_Obij__betw(_u4631, _u4632, _u4633, _u4634, _u4635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4635)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4631), _u4634)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4636, _u4637, _u4638, _u4639, _u4640), _u4641)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4636), _u4640)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4642), _u4643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4644, tc_HOL_Obool)), _u4645), hAPP(c_Set_Oimage(_u4642, _u4644, _u4646), _u4643))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4644), _u4645)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4651), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4651, tc_HOL_Obool)), _u4653), hAPP(hAPP(c_Set_Oinsert(_u4651), _u4655), _u4657)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4651), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4651, tc_HOL_Obool)), _u4653), _u4657))) )).
% 12.28/12.45 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4652, tc_HOL_Obool)), _u4654), _u4658))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4652, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4652), _u4656), _u4658)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), hAPP(c_Set_Oimage(_u4660, _u4659, _u4661), _u4662))) | ~c_Fun_Oinj__on(_u4660, _u4659, _u4661, _u4662) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4660), _u4662)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), _u4664)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4663, tc_HOL_Obool)), _u4664))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), c_Orderings_Otop__class_Otop(tc_fun(_u4663, tc_HOL_Obool)))) )).
% 12.28/12.45 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), _u4664)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), c_Orderings_Otop__class_Otop(tc_fun(_u4663, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4663, tc_HOL_Obool)), _u4664))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4665), hAPP(c_Set_Oimage(_u4666, _u4665, _u4667), c_Orderings_Otop__class_Otop(tc_fun(_u4666, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4668), hAPP(c_Set_Oimage(_u4666, _u4668, hAPP(hAPP(c_COMBB(_u4665, _u4668, _u4666), _u4669), _u4667)), c_Orderings_Otop__class_Otop(tc_fun(_u4666, tc_HOL_Obool))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u4670) | ( _u4671 = _u4672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4670), _u4671), _u4672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4670), _u4672), _u4671)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4673, tc_HOL_Obool)), _u4674), hAPP(c_Set_Oimage(_u4673, _u4673, _u4675), _u4674))) | c_Fun_Oinj__on(_u4673, _u4673, _u4675, _u4674) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4676), _u4677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4676, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4676, _u4676, _u4678), _u4677)), _u4677)) | ~c_Fun_Oinj__on(_u4676, _u4676, _u4678, _u4677) | ( hAPP(c_Set_Oimage(_u4676, _u4676, _u4678), _u4677) = _u4677) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4679), c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u4679, _u4679, _u4680), c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4679, _u4679, _u4680, c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4681), c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u4681, _u4681, _u4682, c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4681, _u4681, _u4682), c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4683), hAPP(c_Set_Ovimage(_u4683, _u4684, _u4685), _u4686))) | ( hAPP(c_Set_Oimage(_u4683, _u4684, _u4685), c_Orderings_Otop__class_Otop(tc_fun(_u4683, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4684, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4684), _u4686)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4687), _u4688)) | ~c_Fun_Oinj__on(_u4689, _u4687, _u4690, c_Orderings_Otop__class_Otop(tc_fun(_u4689, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4689), hAPP(c_Set_Ovimage(_u4689, _u4687, _u4690), _u4688))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__vimage__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__vimage__iff-1, axiom, ( ~c_Fun_Obij__betw(_u4691, _u4692, _u4693, c_Orderings_Otop__class_Otop(tc_fun(_u4691, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4691), hAPP(c_Set_Ovimage(_u4691, _u4692, _u4693), _u4694))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4694)) )).
% 12.28/12.45 cnf(fact_finite__vimage__iff-2, axiom, ( ~c_Fun_Obij__betw(_u4691, _u4692, _u4693, c_Orderings_Otop__class_Otop(tc_fun(_u4691, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4694)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4691), hAPP(c_Set_Ovimage(_u4691, _u4692, _u4693), _u4694))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4695, _u4696, _u4697) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4695), _u4698)) | hBOOL(hAPP(hAPP(c_member(_u4695), _u4699), _u4698)) | ( _u4698 = c_Orderings_Obot__class_Obot(tc_fun(_u4695, tc_HOL_Obool))) | ( hAPP(_u4697, hAPP(hAPP(c_Set_Oinsert(_u4695), _u4699), _u4698)) = hAPP(hAPP(_u4696, _u4699), hAPP(_u4697, _u4698))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4700, _u4701, _u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4700), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4700, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool))) | ( hAPP(_u4702, hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), _u4703)) = _u4704) )).
% 12.28/12.45 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u4700, _u4701, _u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4700), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4700, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool))) | ( hAPP(_u4702, hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), _u4703)) = hAPP(hAPP(_u4701, _u4704), hAPP(_u4702, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4700, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4705, _u4706, _u4707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4705), _u4708)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4705), _u4709)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4705, tc_HOL_Obool)), _u4708), _u4709) = c_Orderings_Obot__class_Obot(tc_fun(_u4705, tc_HOL_Obool))) | ( hAPP(hAPP(_u4706, hAPP(_u4707, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4705, tc_HOL_Obool)), _u4708), _u4709))), hAPP(_u4707, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4705, tc_HOL_Obool)), _u4708), _u4709))) = hAPP(hAPP(_u4706, hAPP(_u4707, _u4708)), hAPP(_u4707, _u4709))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4710, _u4711, _u4712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4710), _u4713)) | ( _u4713 = c_Orderings_Obot__class_Obot(tc_fun(_u4710, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4710), _u4714)) | ( _u4714 = c_Orderings_Obot__class_Obot(tc_fun(_u4710, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4710, tc_HOL_Obool)), _u4713), _u4714) != c_Orderings_Obot__class_Obot(tc_fun(_u4710, tc_HOL_Obool))) | ( hAPP(_u4712, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4710, tc_HOL_Obool)), _u4713), _u4714)) = hAPP(hAPP(_u4711, hAPP(_u4712, _u4713)), hAPP(_u4712, _u4714))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u4715, _u4716, _u4717, _u4718) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4715), _u4719)) | ~hBOOL(hAPP(hAPP(c_member(_u4715), _u4720), _u4719)) | ( hAPP(_u4718, _u4719) = hAPP(c_Fun_Ocomp(_u4716, _u4716, _u4716, hAPP(_u4718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4715, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4715), _u4720), c_Orderings_Obot__class_Obot(tc_fun(_u4715, tc_HOL_Obool)))))), hAPP(_u4717, _u4720))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4722), _u4727)) | ~hBOOL(hAPP(hAPP(c_member(_u4722), _u4728), _u4727)) | ( hAPP(_u4726, _u4727) = hAPP(hAPP(_u4723, hAPP(_u4725, _u4728)), hAPP(_u4726, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4722, tc_HOL_Obool)), _u4727), hAPP(hAPP(c_Set_Oinsert(_u4722), _u4728), c_Orderings_Obot__class_Obot(tc_fun(_u4722, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4721, _u4722, _u4723, _u4724, _u4725, _u4726) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u4729, _u4730, _u4731, _u4732, _u4733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4730), _u4734)) | ~c_Fun_Oinj__on(_u4730, _u4730, _u4735, _u4734) | ( hAPP(hAPP(_u4733, _u4736), hAPP(c_Set_Oimage(_u4730, _u4730, _u4735), _u4734)) = hAPP(hAPP(_u4733, hAPP(c_Fun_Ocomp(_u4730, _u4729, _u4730, _u4736), _u4735)), _u4734)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u4737, _u4738, _u4739, _u4740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4737), _u4741)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4737), _u4742)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4737, tc_HOL_Obool)), _u4741), _u4742) != c_Orderings_Obot__class_Obot(tc_fun(_u4737, tc_HOL_Obool))) | ( hAPP(_u4740, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4737, tc_HOL_Obool)), _u4741), _u4742)) = hAPP(c_Fun_Ocomp(_u4738, _u4738, _u4738, hAPP(_u4740, _u4741)), hAPP(_u4740, _u4742))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u4743, _u4744, _u4745, _u4746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4743), _u4747)) | ( hAPP(_u4746, hAPP(hAPP(c_Set_Oinsert(_u4743), _u4748), _u4747)) = hAPP(c_Fun_Ocomp(_u4744, _u4744, _u4744, hAPP(_u4746, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4743, tc_HOL_Obool)), _u4747), hAPP(hAPP(c_Set_Oinsert(_u4743), _u4748), c_Orderings_Obot__class_Obot(tc_fun(_u4743, tc_HOL_Obool)))))), hAPP(_u4745, _u4748))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4750), _u4755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4750), _u4756)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4750, tc_HOL_Obool)), _u4755), _u4756) != c_Orderings_Obot__class_Obot(tc_fun(_u4750, tc_HOL_Obool))) | ( hAPP(_u4754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4750, tc_HOL_Obool)), _u4755), _u4756)) = hAPP(hAPP(_u4751, hAPP(_u4754, _u4755)), hAPP(_u4754, _u4756))) | ~c_Finite__Set_Ofolding__image__simple(_u4749, _u4750, _u4751, _u4752, _u4753, _u4754) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4758), _u4763)) | ( hAPP(_u4762, hAPP(hAPP(c_Set_Oinsert(_u4758), _u4764), _u4763)) = hAPP(hAPP(_u4759, hAPP(_u4761, _u4764)), hAPP(_u4762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4758, tc_HOL_Obool)), _u4763), hAPP(hAPP(c_Set_Oinsert(_u4758), _u4764), c_Orderings_Obot__class_Obot(tc_fun(_u4758, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4757, _u4758, _u4759, _u4760, _u4761, _u4762) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u4765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4765), _u4766)) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4767), _u4766)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4765, tc_HOL_Obool)), _u4766), hAPP(hAPP(c_Set_Oinsert(_u4765), _u4767), c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4765, _u4766) = _u4767) )).
% 12.28/12.45 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u4765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4765), _u4766)) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4767), _u4766)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4765, tc_HOL_Obool)), _u4766), hAPP(hAPP(c_Set_Oinsert(_u4765), _u4767), c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4765, _u4766) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4765), _u4767), c_Big__Operators_Olattice__class_OInf__fin(_u4765, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4765, tc_HOL_Obool)), _u4766), hAPP(hAPP(c_Set_Oinsert(_u4765), _u4767), c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u4768, _u4769, _u4770, _u4771) | ( hAPP(c_Fun_Ocomp(_u4772, _u4773, _u4774, _u4775), hAPP(c_Fun_Ocomp(_u4776, _u4772, _u4774, _u4777), _u4778)) = hAPP(c_Fun_Ocomp(_u4776, _u4773, _u4774, hAPP(c_Fun_Ocomp(_u4772, _u4773, _u4776, _u4775), _u4777)), _u4778)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4780, _u4780, _u4780, hAPP(_u4781, _u4783)), hAPP(_u4781, _u4784)) = hAPP(c_Fun_Ocomp(_u4780, _u4780, _u4780, hAPP(_u4781, _u4784)), hAPP(_u4781, _u4783))) | ~c_Finite__Set_Ofolding(_u4779, _u4780, _u4781, _u4782) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4790)), hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4791)), _u4792)) = hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4791)), hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4790)), _u4792))) | ~c_Finite__Set_Ofolding(_u4785, _u4786, _u4787, _u4788) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u4798, c_Orderings_Obot__class_Obot(tc_fun(_u4794, tc_HOL_Obool))) = _u4796) | ~c_Finite__Set_Ofolding__image__simple(_u4793, _u4794, _u4795, _u4796, _u4797, _u4798) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u4799) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4799, hAPP(hAPP(c_Set_Oinsert(_u4799), _u4800), c_Orderings_Obot__class_Obot(tc_fun(_u4799, tc_HOL_Obool)))) = _u4800) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u4801, _u4802, _u4803, _u4804, _u4805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4802), _u4806)) | ( hAPP(hAPP(_u4805, hAPP(hAPP(c_COMBS(_u4802, _u4801, _u4801), hAPP(hAPP(c_COMBB(_u4801, tc_fun(_u4801, _u4801), _u4802), _u4803), _u4807)), _u4808)), _u4806) = hAPP(hAPP(_u4803, hAPP(hAPP(_u4805, _u4807), _u4806)), hAPP(hAPP(_u4805, _u4808), _u4806))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4809, _u4810, _u4811, _u4812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4809), _u4813)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4809), _u4814)) | ( hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4814)), hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4813)), _u4816)) = hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4813)), hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4814)), _u4816))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4817, _u4818, _u4819, _u4820) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4817), _u4821)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4817), _u4822)) | ( hAPP(c_Fun_Ocomp(_u4818, _u4818, _u4818, hAPP(_u4820, _u4822)), hAPP(_u4820, _u4821)) = hAPP(c_Fun_Ocomp(_u4818, _u4818, _u4818, hAPP(_u4820, _u4821)), hAPP(_u4820, _u4822))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4823, _u4824, _u4825, _u4826) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4823), _u4827)) | ( hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4825, _u4829)), hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4826, _u4827)), _u4830)) = hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4826, _u4827)), hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4825, _u4829)), _u4830))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u4831, _u4832, _u4833, _u4834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4831), _u4835)) | ( hAPP(c_Fun_Ocomp(_u4832, _u4832, _u4832, hAPP(_u4833, _u4836)), hAPP(_u4834, _u4835)) = hAPP(c_Fun_Ocomp(_u4832, _u4832, _u4832, hAPP(_u4834, _u4835)), hAPP(_u4833, _u4836))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4837) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4837), _u4838)) | ~hBOOL(hAPP(hAPP(c_member(_u4837), _u4839), _u4838)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4837), _u4839), c_Big__Operators_Olattice__class_OInf__fin(_u4837, _u4838)) = _u4839) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u4840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4840), _u4841)) | ~hBOOL(hAPP(hAPP(c_member(_u4840), _u4842), _u4841)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4840), _u4842), c_Big__Operators_Olattice__class_OInf__fin(_u4840, _u4841)) = c_Big__Operators_Olattice__class_OInf__fin(_u4840, _u4841)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4843) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4843), _u4844)) | ( _u4844 = c_Orderings_Obot__class_Obot(tc_fun(_u4843, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4843, _u4844) = c_Complete__Lattice_OInf__class_OInf(_u4843, _u4844)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u4845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4845), _u4846)) | ( _u4846 = c_Orderings_Obot__class_Obot(tc_fun(_u4845, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4845, hAPP(hAPP(c_Set_Oinsert(_u4845), _u4847), _u4846)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4845), _u4847), c_Big__Operators_Olattice__class_OInf__fin(_u4845, _u4846))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u4848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4848), _u4849)) | ( _u4850 = c_Orderings_Obot__class_Obot(tc_fun(_u4848, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4848, tc_HOL_Obool)), _u4850), _u4849)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4848), c_Big__Operators_Olattice__class_OInf__fin(_u4848, _u4850)), c_Big__Operators_Olattice__class_OInf__fin(_u4848, _u4849)) = c_Big__Operators_Olattice__class_OInf__fin(_u4848, _u4849)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u4851) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4851), _u4852)) | ( _u4852 = c_Orderings_Obot__class_Obot(tc_fun(_u4851, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4851), _u4853)) | ( _u4853 = c_Orderings_Obot__class_Obot(tc_fun(_u4851, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4851, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4851, tc_HOL_Obool)), _u4852), _u4853)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4851), c_Big__Operators_Olattice__class_OInf__fin(_u4851, _u4852)), c_Big__Operators_Olattice__class_OInf__fin(_u4851, _u4853))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4855), _u4860)) | hBOOL(hAPP(hAPP(c_member(_u4855), _u4861), _u4860)) | ( hAPP(_u4859, hAPP(hAPP(c_Set_Oinsert(_u4855), _u4861), _u4860)) = hAPP(hAPP(_u4856, hAPP(_u4858, _u4861)), hAPP(_u4859, _u4860))) | ~c_Finite__Set_Ofolding__image__simple(_u4854, _u4855, _u4856, _u4857, _u4858, _u4859) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4863), _u4868)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4863), _u4869)) | ( hAPP(hAPP(_u4864, hAPP(_u4867, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4863, tc_HOL_Obool)), _u4868), _u4869))), hAPP(_u4867, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4863, tc_HOL_Obool)), _u4868), _u4869))) = hAPP(hAPP(_u4864, hAPP(_u4867, _u4868)), hAPP(_u4867, _u4869))) | ~c_Finite__Set_Ofolding__image__simple(_u4862, _u4863, _u4864, _u4865, _u4866, _u4867) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u4870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4870), _u4871)) | hBOOL(hAPP(hAPP(c_member(_u4870), _u4872), _u4871)) | ( _u4871 = c_Orderings_Obot__class_Obot(tc_fun(_u4870, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4870, hAPP(hAPP(c_Set_Oinsert(_u4870), _u4872), _u4871)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4870), _u4872), c_Big__Operators_Olattice__class_OInf__fin(_u4870, _u4871))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4873, tc_HOL_Obool)), _u4874), hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4873, hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), _u4874)) = _u4875) )).
% 12.28/12.45 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4873, tc_HOL_Obool)), _u4874), hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4873, hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), _u4874)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4873), _u4875), c_Big__Operators_Olattice__class_OInf__fin(_u4873, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4873, tc_HOL_Obool)), _u4874), hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4876), _u4877)) | ( _u4877 = c_Orderings_Obot__class_Obot(tc_fun(_u4876, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4876), _u4878)) | ( _u4878 = c_Orderings_Obot__class_Obot(tc_fun(_u4876, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4876, tc_HOL_Obool)), _u4877), _u4878) != c_Orderings_Obot__class_Obot(tc_fun(_u4876, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4876, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4876, tc_HOL_Obool)), _u4877), _u4878)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4876), c_Big__Operators_Olattice__class_OInf__fin(_u4876, _u4877)), c_Big__Operators_Olattice__class_OInf__fin(_u4876, _u4878))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4879) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4879), _u4880)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4879), _u4881)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4879, tc_HOL_Obool)), _u4880), _u4881) = c_Orderings_Obot__class_Obot(tc_fun(_u4879, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4879), c_Big__Operators_Olattice__class_OInf__fin(_u4879, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4879, tc_HOL_Obool)), _u4880), _u4881))), c_Big__Operators_Olattice__class_OInf__fin(_u4879, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4879, tc_HOL_Obool)), _u4880), _u4881))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4879), c_Big__Operators_Olattice__class_OInf__fin(_u4879, _u4880)), c_Big__Operators_Olattice__class_OInf__fin(_u4879, _u4881))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u4882, _u4883, _u4884, _u4885) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4882), _u4886)) | hBOOL(hAPP(hAPP(c_member(_u4882), _u4887), _u4886)) | ( hAPP(_u4885, hAPP(hAPP(c_Set_Oinsert(_u4882), _u4887), _u4886)) = hAPP(c_Fun_Ocomp(_u4883, _u4883, _u4883, hAPP(_u4885, _u4886)), hAPP(_u4884, _u4887))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u4888, _u4889, _u4890, _u4891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4888), _u4892)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4888), _u4893)) | ( hAPP(c_Fun_Ocomp(_u4889, _u4889, _u4889, hAPP(_u4891, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4888, tc_HOL_Obool)), _u4892), _u4893))), hAPP(_u4891, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4888, tc_HOL_Obool)), _u4892), _u4893))) = hAPP(c_Fun_Ocomp(_u4889, _u4889, _u4889, hAPP(_u4891, _u4892)), hAPP(_u4891, _u4893))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u4896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4896), _u4897)) | ( _u4897 = c_Orderings_Obot__class_Obot(tc_fun(_u4896, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4896), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4896), skolem90(_u4897, _u4896)), skolem91(_u4897, _u4896))), hAPP(hAPP(c_Set_Oinsert(_u4896), skolem90(_u4897, _u4896)), hAPP(hAPP(c_Set_Oinsert(_u4896), skolem91(_u4897, _u4896)), c_Orderings_Obot__class_Obot(tc_fun(_u4896, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4896), c_Big__Operators_Olattice__class_OInf__fin(_u4896, _u4897)), _u4897)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4899, tc_HOL_Obool)), _u4900)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4899), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4899, tc_HOL_Obool), _u4900))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4899, tc_HOL_Obool)), skolem92(_u4900, _u4899)), _u4900)) )).
% 12.28/12.45 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4899, tc_HOL_Obool)), _u4900)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4899), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4899, tc_HOL_Obool), _u4900))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4899), skolem92(_u4900, _u4899))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u4901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4901), _u4902)) | ~hBOOL(hAPP(hAPP(c_member(_u4901), _u4903), _u4902)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4901, tc_HOL_Obool)), _u4902), hAPP(hAPP(c_Set_Oinsert(_u4901), _u4903), c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4901, _u4902) = _u4903) )).
% 12.28/12.45 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u4901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4901), _u4902)) | ~hBOOL(hAPP(hAPP(c_member(_u4901), _u4903), _u4902)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4901, tc_HOL_Obool)), _u4902), hAPP(hAPP(c_Set_Oinsert(_u4901), _u4903), c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4901, _u4902) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4901), _u4903), c_Big__Operators_Olattice__class_OSup__fin(_u4901, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4901, tc_HOL_Obool)), _u4902), hAPP(hAPP(c_Set_Oinsert(_u4901), _u4903), c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4904, _u4905, _u4906, _u4907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4904), _u4908)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4904), _u4909)) | ( hAPP(_u4907, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4904, tc_HOL_Obool)), _u4908), _u4909)) = hAPP(c_Fun_Ocomp(_u4905, _u4905, _u4905, hAPP(_u4907, _u4908)), hAPP(_u4907, _u4909))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4910, _u4911, _u4912, _u4913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4910), _u4914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4910, tc_HOL_Obool)), _u4915), _u4914)) | ( hAPP(c_Fun_Ocomp(_u4911, _u4911, _u4911, hAPP(_u4913, _u4914)), hAPP(_u4913, _u4915)) = hAPP(_u4913, _u4914)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4916, _u4917, _u4918, _u4919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4916), _u4920)) | ( hAPP(_u4919, hAPP(hAPP(c_Set_Oinsert(_u4916), _u4921), _u4920)) = hAPP(c_Fun_Ocomp(_u4917, _u4917, _u4917, hAPP(_u4919, _u4920)), hAPP(_u4918, _u4921))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u4924, _u4925, _u4926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4924), _u4927)) | ( _u4927 = c_Orderings_Obot__class_Obot(tc_fun(_u4924, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4924), hAPP(hAPP(_u4925, skolem93(_u4927, _u4926, _u4925, _u4924)), skolem94(_u4927, _u4926, _u4925, _u4924))), hAPP(hAPP(c_Set_Oinsert(_u4924), skolem93(_u4927, _u4926, _u4925, _u4924)), hAPP(hAPP(c_Set_Oinsert(_u4924), skolem94(_u4927, _u4926, _u4925, _u4924)), c_Orderings_Obot__class_Obot(tc_fun(_u4924, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4924), hAPP(_u4926, _u4927)), _u4927)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u4928, _u4929, _u4930, _u4931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4928), _u4932)) | ~hBOOL(hAPP(hAPP(c_member(_u4928), _u4933), _u4932)) | ( hAPP(c_Fun_Ocomp(_u4929, _u4929, _u4929, hAPP(_u4931, _u4932)), hAPP(_u4930, _u4933)) = hAPP(_u4931, _u4932)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u4934) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4934, hAPP(hAPP(c_Set_Oinsert(_u4934), _u4935), c_Orderings_Obot__class_Obot(tc_fun(_u4934, tc_HOL_Obool)))) = _u4935) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4937, _u4937, _u4940, hAPP(_u4938, _u4941)), hAPP(c_Fun_Ocomp(_u4937, _u4937, _u4940, hAPP(_u4938, _u4941)), _u4942)) = hAPP(c_Fun_Ocomp(_u4937, _u4937, _u4940, hAPP(_u4938, _u4941)), _u4942)) | ~c_Finite__Set_Ofolding__idem(_u4936, _u4937, _u4938, _u4939) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u4944, _u4944, _u4944, hAPP(_u4945, _u4947)), hAPP(_u4945, _u4947)) = hAPP(_u4945, _u4947)) | ~c_Finite__Set_Ofolding__idem(_u4943, _u4944, _u4945, _u4946) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u4948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4948), _u4949)) | ~hBOOL(hAPP(hAPP(c_member(_u4948), _u4950), _u4949)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4948), _u4950), c_Big__Operators_Olattice__class_OSup__fin(_u4948, _u4949)) = c_Big__Operators_Olattice__class_OSup__fin(_u4948, _u4949)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u4951) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4951), _u4952)) | ~hBOOL(hAPP(hAPP(c_member(_u4951), _u4953), _u4952)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4951), _u4953), c_Big__Operators_Olattice__class_OSup__fin(_u4951, _u4952)) = _u4953) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4954), _u4955)) | ( _u4955 = c_Orderings_Obot__class_Obot(tc_fun(_u4954, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4954, _u4955) = c_Complete__Lattice_OSup__class_OSup(_u4954, _u4955)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u4956) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4956), _u4957)) | ( _u4957 = c_Orderings_Obot__class_Obot(tc_fun(_u4956, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4956, hAPP(hAPP(c_Set_Oinsert(_u4956), _u4958), _u4957)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4956), _u4958), c_Big__Operators_Olattice__class_OSup__fin(_u4956, _u4957))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u4959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4959), _u4960)) | ( _u4961 = c_Orderings_Obot__class_Obot(tc_fun(_u4959, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4959, tc_HOL_Obool)), _u4961), _u4960)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4959), c_Big__Operators_Olattice__class_OSup__fin(_u4959, _u4961)), c_Big__Operators_Olattice__class_OSup__fin(_u4959, _u4960)) = c_Big__Operators_Olattice__class_OSup__fin(_u4959, _u4960)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u4962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4962), _u4963)) | ( _u4963 = c_Orderings_Obot__class_Obot(tc_fun(_u4962, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4962), _u4964)) | ( _u4964 = c_Orderings_Obot__class_Obot(tc_fun(_u4962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4962, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4962, tc_HOL_Obool)), _u4963), _u4964)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4962), c_Big__Operators_Olattice__class_OSup__fin(_u4962, _u4963)), c_Big__Operators_Olattice__class_OSup__fin(_u4962, _u4964))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u4965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4965), _u4966)) | ( _u4966 = c_Orderings_Obot__class_Obot(tc_fun(_u4965, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4965), c_Big__Operators_Olattice__class_OInf__fin(_u4965, _u4966)), c_Big__Operators_Olattice__class_OSup__fin(_u4965, _u4966))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u4967) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4967), _u4968)) | hBOOL(hAPP(hAPP(c_member(_u4967), _u4969), _u4968)) | ( _u4968 = c_Orderings_Obot__class_Obot(tc_fun(_u4967, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4967, hAPP(hAPP(c_Set_Oinsert(_u4967), _u4969), _u4968)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4967), _u4969), c_Big__Operators_Olattice__class_OSup__fin(_u4967, _u4968))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u4970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4970), _u4971)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4970, tc_HOL_Obool)), _u4971), hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4970, hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), _u4971)) = _u4972) )).
% 12.28/12.45 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u4970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4970), _u4971)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4970, tc_HOL_Obool)), _u4971), hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4970, hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), _u4971)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4970), _u4972), c_Big__Operators_Olattice__class_OSup__fin(_u4970, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4970, tc_HOL_Obool)), _u4971), hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u4973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4973), _u4974)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4973), _u4975)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4973, tc_HOL_Obool)), _u4974), _u4975) = c_Orderings_Obot__class_Obot(tc_fun(_u4973, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4973), c_Big__Operators_Olattice__class_OSup__fin(_u4973, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4973, tc_HOL_Obool)), _u4974), _u4975))), c_Big__Operators_Olattice__class_OSup__fin(_u4973, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4973, tc_HOL_Obool)), _u4974), _u4975))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4973), c_Big__Operators_Olattice__class_OSup__fin(_u4973, _u4974)), c_Big__Operators_Olattice__class_OSup__fin(_u4973, _u4975))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u4976) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4976), _u4977)) | ( _u4977 = c_Orderings_Obot__class_Obot(tc_fun(_u4976, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4976), _u4978)) | ( _u4978 = c_Orderings_Obot__class_Obot(tc_fun(_u4976, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4976, tc_HOL_Obool)), _u4977), _u4978) != c_Orderings_Obot__class_Obot(tc_fun(_u4976, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4976, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4976, tc_HOL_Obool)), _u4977), _u4978)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4976), c_Big__Operators_Olattice__class_OSup__fin(_u4976, _u4977)), c_Big__Operators_Olattice__class_OSup__fin(_u4976, _u4978))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u4981) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4981), _u4982)) | ( _u4982 = c_Orderings_Obot__class_Obot(tc_fun(_u4981, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4981), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4981), skolem95(_u4982, _u4981)), skolem96(_u4982, _u4981))), hAPP(hAPP(c_Set_Oinsert(_u4981), skolem95(_u4982, _u4981)), hAPP(hAPP(c_Set_Oinsert(_u4981), skolem96(_u4982, _u4981)), c_Orderings_Obot__class_Obot(tc_fun(_u4981, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4981), c_Big__Operators_Olattice__class_OSup__fin(_u4981, _u4982)), _u4982)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u4985) | ( hAPP(_u4986, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4985), skolem97(_u4987, _u4986, _u4985)), skolem98(_u4987, _u4986, _u4985))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4985), hAPP(_u4986, skolem97(_u4987, _u4986, _u4985))), hAPP(_u4986, skolem98(_u4987, _u4986, _u4985)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4985), _u4987)) | ( _u4987 = c_Orderings_Obot__class_Obot(tc_fun(_u4985, tc_HOL_Obool))) | ( hAPP(_u4986, c_Big__Operators_Olattice__class_OInf__fin(_u4985, _u4987)) = c_Big__Operators_Olattice__class_OInf__fin(_u4985, hAPP(c_Set_Oimage(_u4985, _u4985, _u4986), _u4987))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u4990) | ( hAPP(_u4991, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4990), skolem99(_u4992, _u4991, _u4990)), skolem100(_u4992, _u4991, _u4990))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4990), hAPP(_u4991, skolem99(_u4992, _u4991, _u4990))), hAPP(_u4991, skolem100(_u4992, _u4991, _u4990)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4990), _u4992)) | ( _u4992 = c_Orderings_Obot__class_Obot(tc_fun(_u4990, tc_HOL_Obool))) | ( hAPP(_u4991, c_Big__Operators_Olattice__class_OSup__fin(_u4990, _u4992)) = c_Big__Operators_Olattice__class_OSup__fin(_u4990, hAPP(c_Set_Oimage(_u4990, _u4990, _u4991), _u4992))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), skolem102(_u4997, _u4996, _u4995))) )).
% 12.28/12.45 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u4995), skolem101(_u4997, _u4996, _u4995)), skolem102(_u4997, _u4996, _u4995))) )).
% 12.28/12.45 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | hBOOL(hAPP(_u4997, skolem102(_u4997, _u4996, _u4995))) )).
% 12.28/12.45 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u4997, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4995, tc_HOL_Obool)), skolem102(_u4997, _u4996, _u4995)), hAPP(hAPP(c_Set_Oinsert(_u4995), skolem101(_u4997, _u4996, _u4995)), c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u4998, _u4999, _u5000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4998), _u5001)) | ( _u5001 = c_Orderings_Obot__class_Obot(tc_fun(_u4998, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4998), _u5002)) | ( _u5002 = c_Orderings_Obot__class_Obot(tc_fun(_u4998, tc_HOL_Obool))) | ( hAPP(_u5000, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4998, tc_HOL_Obool)), _u5001), _u5002)) = hAPP(hAPP(_u4999, hAPP(_u5000, _u5001)), hAPP(_u5000, _u5002))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), skolem104(_u5008, _u5007, _u5006, _u5005))) )).
% 12.28/12.45 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | hBOOL(hAPP(hAPP(c_member(_u5005), skolem103(_u5008, _u5007, _u5006, _u5005)), _u5007)) )).
% 12.28/12.45 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | ~hBOOL(hAPP(hAPP(c_member(_u5005), skolem103(_u5008, _u5007, _u5006, _u5005)), skolem104(_u5008, _u5007, _u5006, _u5005))) )).
% 12.28/12.45 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | hBOOL(hAPP(_u5008, skolem104(_u5008, _u5007, _u5006, _u5005))) )).
% 12.28/12.45 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | ~hBOOL(hAPP(_u5008, hAPP(hAPP(c_Set_Oinsert(_u5005), skolem103(_u5008, _u5007, _u5006, _u5005)), skolem104(_u5008, _u5007, _u5006, _u5005)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5009, _u5010, _u5011) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5009), _u5012)) | ( _u5013 = c_Orderings_Obot__class_Obot(tc_fun(_u5009, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5009, tc_HOL_Obool)), _u5013), _u5012)) | ( hAPP(hAPP(_u5010, hAPP(_u5011, _u5013)), hAPP(_u5011, _u5012)) = hAPP(_u5011, _u5012)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5014, _u5015, _u5016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5014), _u5017)) | ( _u5017 = c_Orderings_Obot__class_Obot(tc_fun(_u5014, tc_HOL_Obool))) | ( hAPP(_u5016, hAPP(hAPP(c_Set_Oinsert(_u5014), _u5018), _u5017)) = hAPP(hAPP(_u5015, _u5018), hAPP(_u5016, _u5017))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u5020, _u5022), _u5022) = _u5022) | ~c_Finite__Set_Ofolding__one__idem(_u5019, _u5020, _u5021) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5023, _u5024, _u5025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5023), _u5026)) | ~hBOOL(hAPP(hAPP(c_member(_u5023), _u5027), _u5026)) | ( hAPP(hAPP(_u5024, _u5027), hAPP(_u5025, _u5026)) = hAPP(_u5025, _u5026)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5028), _u5029)) | ( hAPP(c_Set_Oimage(_u5028, _u5030, _u5031), _u5029) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u5030, tc_HOL_Obool), _u5028, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5030, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5030, tc_HOL_Obool), tc_fun(_u5030, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u5030, tc_fun(tc_fun(_u5030, tc_HOL_Obool), tc_fun(_u5030, tc_HOL_Obool)), _u5028), c_Set_Oinsert(_u5030)), _u5031)), c_Orderings_Obot__class_Obot(tc_fun(_u5030, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u5030, tc_HOL_Obool))), _u5029)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5032), _u5033)) | ( _u5033 = c_Orderings_Obot__class_Obot(tc_fun(_u5032, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5032), _u5034)) | ( _u5034 = c_Orderings_Obot__class_Obot(tc_fun(_u5032, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5032, tc_HOL_Obool)), _u5033), _u5034) != c_Orderings_Obot__class_Obot(tc_fun(_u5032, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5032, c_Groups_Otimes__class_Otimes(_u5032)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5032, tc_HOL_Obool)), _u5033), _u5034)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5032), hAPP(c_Finite__Set_Ofold1(_u5032, c_Groups_Otimes__class_Otimes(_u5032)), _u5033)), hAPP(c_Finite__Set_Ofold1(_u5032, c_Groups_Otimes__class_Otimes(_u5032)), _u5034))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u5037, _u5038, _u5039) | ( hAPP(_u5040, hAPP(hAPP(_u5038, skolem105(_u5041, _u5040, _u5039, _u5038, _u5037)), skolem106(_u5041, _u5040, _u5039, _u5038, _u5037))) != hAPP(hAPP(_u5038, hAPP(_u5040, skolem105(_u5041, _u5040, _u5039, _u5038, _u5037))), hAPP(_u5040, skolem106(_u5041, _u5040, _u5039, _u5038, _u5037)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5037), _u5041)) | ( _u5041 = c_Orderings_Obot__class_Obot(tc_fun(_u5037, tc_HOL_Obool))) | ( hAPP(_u5040, hAPP(_u5039, _u5041)) = hAPP(_u5039, hAPP(c_Set_Oimage(_u5037, _u5037, _u5040), _u5041))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5043, _u5044, _u5045, _u5046, _u5047, _u5048) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5049)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5050)) | ( hAPP(_u5048, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5044, tc_HOL_Obool)), _u5049), _u5050)) = hAPP(hAPP(_u5045, hAPP(_u5048, _u5049)), hAPP(_u5048, _u5050))) | hBOOL(hAPP(hAPP(c_member(_u5044), skolem107(_u5050, _u5049, _u5048, _u5047, _u5046, _u5045, _u5044)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5044, tc_HOL_Obool)), _u5049), _u5050))) )).
% 12.28/12.45 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5043, _u5044, _u5045, _u5046, _u5047, _u5048) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5049)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5050)) | ( hAPP(_u5048, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5044, tc_HOL_Obool)), _u5049), _u5050)) = hAPP(hAPP(_u5045, hAPP(_u5048, _u5049)), hAPP(_u5048, _u5050))) | ( hAPP(_u5047, skolem107(_u5050, _u5049, _u5048, _u5047, _u5046, _u5045, _u5044)) != _u5046) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5051) | ( _u5052 = c_Orderings_Obot__class_Obot(tc_fun(_u5051, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5051), _u5052)) | hBOOL(hAPP(hAPP(c_member(_u5051), _u5053), _u5052)) | ( hAPP(c_Finite__Set_Ofold1(_u5051, c_Groups_Otimes__class_Otimes(_u5051)), hAPP(hAPP(c_Set_Oinsert(_u5051), _u5053), _u5052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5051), _u5053), hAPP(c_Finite__Set_Ofold1(_u5051, c_Groups_Otimes__class_Otimes(_u5051)), _u5052))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5055), _u5056)) | ~c_Fun_Oinj__on(_u5055, _u5057, _u5058, _u5056) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5054, _u5057, c_Groups_Otimes__class_Otimes(_u5054)), _u5059), _u5060), hAPP(c_Set_Oimage(_u5055, _u5057, _u5058), _u5056)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5054, _u5055, c_Groups_Otimes__class_Otimes(_u5054)), hAPP(c_Fun_Ocomp(_u5057, _u5054, _u5055, _u5059), _u5058)), _u5060), _u5056)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5062), _u5063)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5064), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5062, tc_fun(_u5064, tc_HOL_Obool)), _u5063), _u5065))) | hBOOL(hAPP(hAPP(c_member(_u5062), skolem108(_u5065, _u5064, _u5063, _u5062)), _u5063)) )).
% 12.28/12.45 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5062), _u5063)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5064), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5062, tc_fun(_u5064, tc_HOL_Obool)), _u5063), _u5065))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5064), hAPP(_u5065, skolem108(_u5065, _u5064, _u5063, _u5062)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5066, _u5067, _u5068), _u5069), _u5070), c_Orderings_Obot__class_Obot(tc_fun(_u5067, tc_HOL_Obool))) = _u5070) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u5071 != c_Finite__Set_Ofold1(_u5072, _u5073)) | ( hAPP(_u5071, hAPP(hAPP(c_Set_Oinsert(_u5072), _u5074), c_Orderings_Obot__class_Obot(tc_fun(_u5072, tc_HOL_Obool)))) = _u5074) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u5075, _u5076), hAPP(hAPP(c_Set_Oinsert(_u5075), _u5077), c_Orderings_Obot__class_Obot(tc_fun(_u5075, tc_HOL_Obool)))) = _u5077) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u5078, _u5079, _u5080, _u5081, _u5082, _u5083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5079), _u5084)) | ( hAPP(_u5083, _u5084) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5078, _u5079, _u5080), _u5082), _u5081), _u5084)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u5085, _u5086, _u5087, _u5088, _u5089) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5086), _u5090)) | ( hAPP(hAPP(_u5089, _u5091), _u5090) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5085, _u5086, _u5087), _u5091), _u5088), _u5090)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u5092, _u5093, _u5094) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5092), _u5095)) | ( hAPP(_u5094, _u5095) = hAPP(c_Finite__Set_Ofold1(_u5092, _u5093), _u5095)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u5096, _u5097), _u5098) = c_HOL_OThe(_u5096, c_Finite__Set_Ofold1Set(_u5096, _u5097, _u5098))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u5099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5099), _u5100)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u5099, _u5100) = hAPP(c_Finite__Set_Ofold1(_u5099, c_Lattices_Osemilattice__sup__class_Osup(_u5099)), _u5100)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u5101) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5101), _u5102)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5101, _u5102) = hAPP(c_Finite__Set_Ofold1(_u5101, c_Lattices_Osemilattice__inf__class_Oinf(_u5101)), _u5102)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5104), _u5105)) | hBOOL(hAPP(hAPP(c_member(_u5104), _u5106), _u5105)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5103, _u5104, c_Groups_Otimes__class_Otimes(_u5103)), _u5107), _u5108), hAPP(hAPP(c_Set_Oinsert(_u5104), _u5106), _u5105)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5103), hAPP(_u5107, _u5106)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5103, _u5104, c_Groups_Otimes__class_Otimes(_u5103)), _u5107), _u5108), _u5105))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u5109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5110)) | ~hBOOL(hAPP(hAPP(c_member(_u5109), _u5111), _u5110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5109), hAPP(c_Finite__Set_Ofold1(_u5109, c_Lattices_Osemilattice__inf__class_Oinf(_u5109)), _u5110)), _u5111)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u5114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5114), _u5115)) | ( _u5115 = c_Orderings_Obot__class_Obot(tc_fun(_u5114, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), hAPP(c_Finite__Set_Ofold1(_u5114, c_Lattices_Osemilattice__inf__class_Oinf(_u5114)), _u5115))) | ~hBOOL(hAPP(hAPP(c_member(_u5114), _u5112), _u5115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), _u5112)) )).
% 12.28/12.45 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u5114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5114), _u5115)) | ( _u5115 = c_Orderings_Obot__class_Obot(tc_fun(_u5114, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), hAPP(c_Finite__Set_Ofold1(_u5114, c_Lattices_Osemilattice__inf__class_Oinf(_u5114)), _u5115))) | hBOOL(hAPP(hAPP(c_member(_u5114), skolem109(_u5116, _u5115, _u5114)), _u5115)) )).
% 12.28/12.45 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u5114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5114), _u5115)) | ( _u5115 = c_Orderings_Obot__class_Obot(tc_fun(_u5114, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), hAPP(c_Finite__Set_Ofold1(_u5114, c_Lattices_Osemilattice__inf__class_Oinf(_u5114)), _u5115))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), skolem109(_u5116, _u5115, _u5114))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5117) | ( _u5118 = c_Orderings_Obot__class_Obot(tc_fun(_u5117, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5117), _u5118)) | ( hAPP(c_Finite__Set_Ofold1(_u5117, c_Groups_Otimes__class_Otimes(_u5117)), hAPP(hAPP(c_Set_Oinsert(_u5117), _u5119), _u5118)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5117), _u5119), hAPP(c_Finite__Set_Ofold1(_u5117, c_Groups_Otimes__class_Otimes(_u5117)), _u5118))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5120), _u5121)) | ( _u5121 = c_Orderings_Obot__class_Obot(tc_fun(_u5120, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5120), _u5122)) | ( _u5122 = c_Orderings_Obot__class_Obot(tc_fun(_u5120, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5120, c_Groups_Otimes__class_Otimes(_u5120)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5120, tc_HOL_Obool)), _u5121), _u5122)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5120), hAPP(c_Finite__Set_Ofold1(_u5120, c_Groups_Otimes__class_Otimes(_u5120)), _u5121)), hAPP(c_Finite__Set_Ofold1(_u5120, c_Groups_Otimes__class_Otimes(_u5120)), _u5122))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u5123, _u5124, _u5125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5123), _u5126)) | ( hAPP(_u5125, _u5126) = hAPP(c_Finite__Set_Ofold1(_u5123, _u5124), _u5126)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u5127, _u5128, _u5129, _u5130, _u5131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5128), _u5132)) | ( hAPP(hAPP(_u5131, _u5133), _u5132) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5127, _u5128, _u5129), _u5133), _u5130), _u5132)) )).
% 12.28/12.45 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u5127, _u5128, _u5129, _u5130, _u5131) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5128), _u5132)) | ( hAPP(hAPP(_u5131, _u5133), _u5132) = _u5130) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5136), _u5137)) | ( _u5137 = c_Orderings_Obot__class_Obot(tc_fun(_u5136, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5136), skolem110(_u5137, _u5136)), skolem111(_u5137, _u5136))), hAPP(hAPP(c_Set_Oinsert(_u5136), skolem110(_u5137, _u5136)), hAPP(hAPP(c_Set_Oinsert(_u5136), skolem111(_u5137, _u5136)), c_Orderings_Obot__class_Obot(tc_fun(_u5136, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5136), hAPP(c_Finite__Set_Ofold1(_u5136, c_Groups_Otimes__class_Otimes(_u5136)), _u5137)), _u5137)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5140) | ( hAPP(_u5141, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5140), skolem112(_u5142, _u5141, _u5140)), skolem113(_u5142, _u5141, _u5140))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5140), hAPP(_u5141, skolem112(_u5142, _u5141, _u5140))), hAPP(_u5141, skolem113(_u5142, _u5141, _u5140)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5140), _u5142)) | ( _u5142 = c_Orderings_Obot__class_Obot(tc_fun(_u5140, tc_HOL_Obool))) | ( hAPP(_u5141, hAPP(c_Finite__Set_Ofold1(_u5140, c_Groups_Otimes__class_Otimes(_u5140)), _u5142)) = hAPP(c_Finite__Set_Ofold1(_u5140, c_Groups_Otimes__class_Otimes(_u5140)), hAPP(c_Set_Oimage(_u5140, _u5140, _u5141), _u5142))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5144), _u5145)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5144), _u5146)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5144, tc_HOL_Obool)), _u5145), _u5146) != c_Orderings_Obot__class_Obot(tc_fun(_u5144, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5143, _u5144, c_Groups_Otimes__class_Otimes(_u5143)), _u5147), c_Groups_Oone__class_Oone(_u5143)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5144, tc_HOL_Obool)), _u5145), _u5146)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5143), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5143, _u5144, c_Groups_Otimes__class_Otimes(_u5143)), _u5147), c_Groups_Oone__class_Oone(_u5143)), _u5145)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5143, _u5144, c_Groups_Otimes__class_Otimes(_u5143)), _u5147), c_Groups_Oone__class_Oone(_u5143)), _u5146))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u5148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5149), _u5150)) | ~hBOOL(hAPP(hAPP(c_member(_u5149), _u5151), _u5150)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5149, tc_HOL_Obool)), _u5150), hAPP(hAPP(c_Set_Oinsert(_u5149), _u5151), c_Orderings_Obot__class_Obot(tc_fun(_u5149, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5148), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), _u5150)), hAPP(_u5152, _u5151))) )).
% 12.28/12.45 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u5148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5149), _u5150)) | hBOOL(hAPP(hAPP(c_member(_u5149), _u5151), _u5150)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5149, tc_HOL_Obool)), _u5150), hAPP(hAPP(c_Set_Oinsert(_u5149), _u5151), c_Orderings_Obot__class_Obot(tc_fun(_u5149, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), _u5150)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u5153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5154), _u5155)) | ~hBOOL(hAPP(hAPP(c_member(_u5154), _u5156), _u5155)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5154, _u5153), _u5157), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5154, tc_HOL_Obool)), _u5155), hAPP(hAPP(c_Set_Oinsert(_u5154), _u5156), c_Orderings_Obot__class_Obot(tc_fun(_u5154, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5153), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5154, _u5153), _u5157), _u5155)), hAPP(_u5157, _u5156))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u5158) | ( c_Groups_Oone__class_Oone(_u5158) != _u5159) | ( _u5159 = c_Groups_Oone__class_Oone(_u5158)) )).
% 12.28/12.45 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u5158) | ( _u5159 != c_Groups_Oone__class_Oone(_u5158)) | ( c_Groups_Oone__class_Oone(_u5158) = _u5159) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5160) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5161, _u5160), hAPP(hAPP(c_COMBC(_u5161, tc_fun(_u5162, tc_HOL_Obool), _u5160), hAPP(hAPP(c_COMBB(tc_fun(_u5162, _u5160), tc_fun(tc_fun(_u5162, tc_HOL_Obool), _u5160), _u5161), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5162, _u5160)), _u5163)), _u5164)), _u5165) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5162, _u5160), hAPP(hAPP(c_COMBC(_u5162, tc_fun(_u5161, tc_HOL_Obool), _u5160), hAPP(hAPP(c_COMBB(tc_fun(_u5161, _u5160), tc_fun(tc_fun(_u5161, tc_HOL_Obool), _u5160), _u5162), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5161, _u5160)), hAPP(c_COMBC(_u5161, _u5162, _u5160), _u5163))), _u5165)), _u5164)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u5166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5167), _u5168)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5168), _u5169)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5166), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5166), _u5170), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5167), _u5169))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5166), _u5170), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5167), _u5168))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5166), _u5170), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5168), _u5169))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u5171) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5171), c_Groups_Oone__class_Oone(_u5171)), _u5172) = _u5172) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5173) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5173), c_Groups_Oone__class_Oone(_u5173)), _u5174) = _u5174) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u5175) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5175), _u5176), c_Groups_Oone__class_Oone(_u5175)) = _u5176) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5177) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5178), c_Groups_Oone__class_Oone(_u5177)) = _u5178) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u5179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5179), _u5180), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5181, _u5179), _u5182), _u5183)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5181, _u5179), hAPP(hAPP(c_COMBB(_u5179, _u5179, _u5181), hAPP(c_Groups_Otimes__class_Otimes(_u5179), _u5180)), _u5182)), _u5183)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u5184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5184), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5185, _u5184), _u5186), _u5187)), _u5188) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5185, _u5184), hAPP(hAPP(c_COMBC(_u5185, _u5184, _u5184), hAPP(hAPP(c_COMBB(_u5184, tc_fun(_u5184, _u5184), _u5185), c_Groups_Otimes__class_Otimes(_u5184)), _u5186)), _u5188)), _u5187)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u5189) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5190, _u5189), _u5191), _u5192)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5193, _u5189), _u5194), _u5195)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5190, _u5189), hAPP(hAPP(c_COMBC(_u5190, tc_fun(_u5193, tc_HOL_Obool), _u5189), hAPP(hAPP(c_COMBB(tc_fun(_u5193, _u5189), tc_fun(tc_fun(_u5193, tc_HOL_Obool), _u5189), _u5190), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5193, _u5189)), hAPP(hAPP(c_COMBC(_u5190, tc_fun(_u5193, _u5189), tc_fun(_u5193, _u5189)), hAPP(hAPP(c_COMBB(tc_fun(_u5189, _u5189), tc_fun(tc_fun(_u5193, _u5189), tc_fun(_u5193, _u5189)), _u5190), c_COMBB(_u5189, _u5189, _u5193)), hAPP(hAPP(c_COMBB(_u5189, tc_fun(_u5189, _u5189), _u5190), c_Groups_Otimes__class_Otimes(_u5189)), _u5191))), _u5194))), _u5195)), _u5192)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u5196) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5197, _u5196), hAPP(hAPP(c_COMBS(_u5197, _u5196, _u5196), hAPP(hAPP(c_COMBB(_u5196, tc_fun(_u5196, _u5196), _u5197), c_Groups_Ominus__class_Ominus(_u5196)), _u5198)), _u5199)), _u5200) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5196), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5197, _u5196), _u5198), _u5200)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5197, _u5196), _u5199), _u5200))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u5201) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5202, _u5201), hAPP(hAPP(c_COMBB(_u5201, _u5201, _u5202), c_Groups_Ouminus__class_Ouminus(_u5201)), _u5203)), _u5204) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5201), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5202, _u5201), _u5203), _u5204))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5205), c_Groups_Oone__class_Oone(_u5205)), _u5206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5205), c_Groups_Oone__class_Oone(_u5205)), _u5207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5205), c_Groups_Oone__class_Oone(_u5205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5205), _u5206), _u5207))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5209) != c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 = c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5208), c_Groups_Oone__class_Oone(_u5208))) )).
% 12.28/12.45 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5209) = c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 != c_Groups_Oone__class_Oone(_u5208)) )).
% 12.28/12.45 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5209) = c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5208), c_Groups_Oone__class_Oone(_u5208))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5210), _u5211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5210, tc_HOL_Obool)), _u5211), _u5212)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5210, tc_Nat_Onat), _u5213), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5210, tc_HOL_Obool)), _u5212), _u5211)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5210, tc_Nat_Onat), _u5213), _u5212)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5210, tc_Nat_Onat), _u5213), _u5211))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5214) | ~c_Fun_Oinj__on(_u5215, _u5216, _u5217, _u5218) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5216, _u5214), _u5219), hAPP(c_Set_Oimage(_u5215, _u5216, _u5217), _u5218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5215, _u5214), hAPP(c_Fun_Ocomp(_u5216, _u5214, _u5215, _u5219), _u5217)), _u5218)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5221), _u5222)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5220, _u5221, c_Groups_Otimes__class_Otimes(_u5220)), hAPP(hAPP(c_COMBS(_u5221, _u5220, _u5220), hAPP(hAPP(c_COMBB(_u5220, tc_fun(_u5220, _u5220), _u5221), c_Groups_Otimes__class_Otimes(_u5220)), _u5223)), _u5224)), c_Groups_Oone__class_Oone(_u5220)), _u5222) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5220), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5220, _u5221, c_Groups_Otimes__class_Otimes(_u5220)), _u5223), c_Groups_Oone__class_Oone(_u5220)), _u5222)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5220, _u5221, c_Groups_Otimes__class_Otimes(_u5220)), _u5224), c_Groups_Oone__class_Oone(_u5220)), _u5222))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5229), _u5231), _u5233)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5229, tc_Nat_Onat), _u5235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5229, tc_HOL_Obool)), _u5233), hAPP(hAPP(c_Set_Oinsert(_u5229), _u5231), c_Orderings_Obot__class_Obot(tc_fun(_u5229, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5229, tc_Nat_Onat), _u5235), _u5233)), hAPP(_u5235, _u5231))) )).
% 12.28/12.45 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5230), _u5232), _u5234)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5230, tc_Nat_Onat), _u5236), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5230, tc_HOL_Obool)), _u5234), hAPP(hAPP(c_Set_Oinsert(_u5230), _u5232), c_Orderings_Obot__class_Obot(tc_fun(_u5230, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5230, tc_Nat_Onat), _u5236), _u5234)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u5237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5238), _u5239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5238, tc_HOL_Obool)), _u5240), _u5239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5238, _u5237), _u5241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5238, tc_HOL_Obool)), _u5239), _u5240)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5237), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5238, _u5237), _u5241), _u5239)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5238, _u5237), _u5241), _u5240))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~c_Fun_Oinj__on(_u5243, _u5243, _u5245, _u5244) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5243, _u5242), _u5246), hAPP(c_Set_Oimage(_u5243, _u5243, _u5245), _u5244)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5243, _u5242), hAPP(c_Fun_Ocomp(_u5243, _u5242, _u5243, _u5246), _u5245)), _u5244)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5248), _u5252)) | ( hAPP(hAPP(_u5251, _u5253), _u5252) = _u5250) | ~c_Big__Operators_Ocomm__monoid__big(_u5247, _u5248, _u5249, _u5250, _u5251) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5254) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5255), _u5256)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5255), _u5257)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5254), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), _u5256)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), _u5257)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5254), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5255, tc_HOL_Obool)), _u5256), _u5257))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5255, tc_HOL_Obool)), _u5256), _u5257)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5259) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5260) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), c_Groups_Oone__class_Oone(_u5259))), _u5260)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5263, tc_HOL_Obool)), _u5264), _u5265)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5262), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5264)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5265))) | hBOOL(hAPP(hAPP(c_member(_u5263), skolem114(_u5266, _u5265, _u5264, _u5263, _u5262)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5263, tc_HOL_Obool)), _u5264), _u5265))) )).
% 12.28/12.45 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u5262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5263, tc_HOL_Obool)), _u5264), _u5265)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5262), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5264)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5265))) | ( hAPP(_u5266, skolem114(_u5266, _u5265, _u5264, _u5263, _u5262)) != c_Groups_Oone__class_Oone(_u5262)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5267) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5267), c_Groups_Oone__class_Oone(_u5267)), _u5268) = _u5268) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5269) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5269), _u5270), c_Groups_Oone__class_Oone(_u5269)) = _u5270) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5272) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5272) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5273), _u5274)) | ( _u5274 = c_Orderings_Obot__class_Obot(tc_fun(_u5273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5275), _u5274)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5276), _u5274))) | hBOOL(hAPP(hAPP(c_member(_u5273), skolem115(_u5276, _u5275, _u5274, _u5273, _u5272)), _u5274)) )).
% 12.28/12.45 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5272) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5272) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5273), _u5274)) | ( _u5274 = c_Orderings_Obot__class_Obot(tc_fun(_u5273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5275), _u5274)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5276), _u5274))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), hAPP(_u5275, skolem115(_u5276, _u5275, _u5274, _u5273, _u5272))), hAPP(_u5276, skolem115(_u5276, _u5275, _u5274, _u5273, _u5272)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5278), _u5279)) | ~hBOOL(hAPP(hAPP(c_member(_u5278), _u5280), _u5279)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5278, _u5277), _u5281), _u5279) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5277), hAPP(_u5281, _u5280)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5278, _u5277), _u5281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5278, tc_HOL_Obool)), _u5279), hAPP(hAPP(c_Set_Oinsert(_u5278), _u5280), c_Orderings_Obot__class_Obot(tc_fun(_u5278, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5283), _u5284)) | ~hBOOL(hAPP(hAPP(c_member(_u5283), _u5285), _u5284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5283, _u5282), _u5286), _u5284) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5282), hAPP(_u5286, _u5285)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5283, _u5282), _u5286), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5283, tc_HOL_Obool)), _u5284), hAPP(hAPP(c_Set_Oinsert(_u5283), _u5285), c_Orderings_Obot__class_Obot(tc_fun(_u5283, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5287), _u5288))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5290), _u5291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5291), _u5292)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5289), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5289), _u5293), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5290), _u5291))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5289), _u5293), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5291), _u5292))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5289), _u5293), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5290), _u5292))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5294), _u5297), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5295, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), _u5298))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5294), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5294), _u5297), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5295, _u5296))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5294), _u5297), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), _u5298))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5299) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5299), _u5300), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5301), _u5302)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5303), _u5302))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5299), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5299, tc_Nat_Onat), _u5300), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5302))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5301), _u5303))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5304) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5304), _u5305), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5306), _u5307), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5308), _u5307))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5304), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5304, tc_Nat_Onat), _u5305), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5307))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5306, _u5308))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5310), _u5311)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5309), _u5312), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5310, _u5311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5309), hAPP(_u5312, _u5310)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5309), _u5312), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5310, _u5311)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5318)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5313), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5313), skolem116(_u5318))) )).
% 12.28/12.45 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5319)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem117(_u5319, _u5316)), _u5319)) )).
% 12.28/12.45 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem117(_u5319, _u5316)), _u5316)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5324)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5322))) | ( _u5321 = _u5323) | ( _u5322 = _u5324) )).
% 12.28/12.45 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5324)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5322))) | ( _u5321 != _u5323) )).
% 12.28/12.45 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5324)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5322))) | ( _u5322 != _u5324) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5325) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), _u5326), _u5327)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), _u5328), _u5327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5325), _u5326), _u5328)), _u5327)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5329) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5329), _u5330), _u5331)), _u5332) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5330), _u5332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5331), _u5332))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5333) | ( _u5334 = _u5335) | ( _u5336 = _u5337) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5337)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5336))) )).
% 12.28/12.45 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5333) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5337)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5336))) | ( _u5334 != _u5335) )).
% 12.28/12.45 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5333) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5337)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5336))) | ( _u5336 != _u5337) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5338) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5338), _u5339), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5338), _u5340), _u5341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5338), _u5339), _u5340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5338), _u5339), _u5341))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u5342)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5343), _u5344)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5343), _u5342)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5344), _u5342))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5345), _u5346)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5345), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5346), _u5347)) = 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, _u5345), _u5346)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5346), _u5347)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5348) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5348), _u5349), _u5350) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5348), _u5351), _u5350)) | ( _u5349 = _u5351) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u5352) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5352), _u5353), _u5354) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5352), _u5353), _u5355)) | ( _u5354 = _u5355) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5356) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5356), _u5357), _u5358) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5356), _u5357), _u5359)) | ( _u5358 = _u5359) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5360) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5361), _u5362) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5363), _u5362)) | ( _u5361 = _u5363) )).
% 12.28/12.45 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5360) | ( _u5361 != _u5363) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5361), _u5362) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5363), _u5362)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5364) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5366) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5367)) | ( _u5366 = _u5367) )).
% 12.28/12.45 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u5364) | ( _u5366 != _u5367) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5366) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5367)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u5368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), _u5369), _u5370)), _u5371) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), _u5369), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), _u5370), _u5371))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5372) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5372), _u5373), _u5374) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5372), _u5374), _u5373)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5375) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5376), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5377), _u5378)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5377), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5376), _u5378))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5379) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), _u5380), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), _u5381), _u5382)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), _u5380), _u5381)), _u5382)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5383) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5384), _u5385)), _u5386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5385), _u5386))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5387) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), _u5388), _u5389)), _u5390) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), _u5388), _u5390)), _u5389)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5391) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5392), _u5393)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5394), _u5395)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5392), _u5394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5393), _u5395))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5396), _u5397), _u5398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5396), _u5397), _u5399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5396), _u5398), _u5399)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5401), _u5402)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5403), _u5402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5400), _u5401), _u5403)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5404), _u5405), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5404), _u5407), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5404), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5404), _u5405), _u5407)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5404), _u5406), _u5408))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5409), _u5410), _u5411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5409), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5409), _u5412), _u5410)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5409), _u5412), _u5411))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5413), _u5414), _u5415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5413), _u5414), _u5416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5413), _u5415), _u5416))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5420))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), _u5419), _u5420)) )).
% 12.28/12.45 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), _u5419), _u5420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5420))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5422), _u5423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5424), _u5423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), _u5422), _u5424)) )).
% 12.28/12.45 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), _u5422), _u5424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5422), _u5423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5424), _u5423))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), _u5426), _u5427)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), _u5426), _u5428))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), _u5427), _u5428)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5429) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5429), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), _u5430), _u5431)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), _u5432), _u5431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5429), _u5430), _u5432)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), _u5434), _u5435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), _u5436), _u5437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), _u5434), _u5436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), _u5435), _u5437))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5438), _u5439), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5438), _u5441), _u5439)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5438), _u5441), _u5440))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5442), _u5443), _u5444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5442), _u5443), _u5445)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5442), _u5444), _u5445))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5448)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5449))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5448), _u5449)) )).
% 12.28/12.45 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5448), _u5449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5448)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5449))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5451), _u5452)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5453), _u5452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), _u5451), _u5453)) )).
% 12.28/12.45 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), _u5451), _u5453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5451), _u5452)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5453), _u5452))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u5454) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5455), _u5456)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5457), _u5456)), _u5458)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), _u5455), _u5457)), _u5456)), _u5458)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u5459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5459), _u5460), _u5461)), _u5462) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), _u5460), _u5462)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), _u5461), _u5462))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5463) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), _u5464), _u5465)), _u5465) = _u5464) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5466) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5466), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5466), _u5467), _u5468)), _u5468) = _u5467) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u5469) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5469), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5469), _u5470), _u5471)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5469), hAPP(c_Groups_Ouminus__class_Ouminus(_u5469), _u5470)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5469), _u5471))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5472) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5474)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), hAPP(c_Groups_Ouminus__class_Ouminus(_u5472), _u5474)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5472), _u5473))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5475) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), hAPP(c_Groups_Ouminus__class_Ouminus(_u5475), _u5476)), _u5477)) = _u5477) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5478) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5478), hAPP(c_Groups_Ouminus__class_Ouminus(_u5478), _u5479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5478), _u5479), _u5480)) = _u5480) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5481) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5481), _u5482), _u5483)), _u5483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5481), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5481), _u5482), c_Groups_Oone__class_Oone(_u5481))), _u5483)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5484) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5486), _u5485)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5486), c_Groups_Oone__class_Oone(_u5484))), _u5485)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5487) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), _u5488), _u5488) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), c_Groups_Oone__class_Oone(_u5487)), c_Groups_Oone__class_Oone(_u5487))), _u5488)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5489) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5489), _u5490), _u5491) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5490), hAPP(c_Groups_Ouminus__class_Ouminus(_u5489), _u5491))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5492) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5493, _u5492), hAPP(hAPP(c_COMBS(_u5493, _u5492, _u5492), hAPP(hAPP(c_COMBB(_u5492, tc_fun(_u5492, _u5492), _u5493), c_Groups_Oplus__class_Oplus(_u5492)), _u5494)), _u5495)), _u5496) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5492), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5493, _u5492), _u5494), _u5496)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5493, _u5492), _u5495), _u5496))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5497), _u5498), _u5499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), _u5500), _u5501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5498), _u5500)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5499), _u5501))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5502) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5502), _u5503), _u5504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5502), _u5505), _u5506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5502), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5503), _u5505)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5504), _u5506))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5507) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5507), _u5508), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5507), _u5508), c_Groups_Oone__class_Oone(_u5507)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u5509) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5510), _u5511)), _u5512) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5513), _u5511)), _u5514)) | ( _u5512 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), _u5513), _u5510)), _u5511)), _u5514)) )).
% 12.28/12.45 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u5509) | ( _u5512 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), _u5513), _u5510)), _u5511)), _u5514)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5510), _u5511)), _u5512) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5513), _u5511)), _u5514)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u5515) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5517)), _u5518) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5519), _u5517)), _u5520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), _u5516), _u5519)), _u5517)), _u5518) = _u5520) )).
% 12.28/12.45 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u5515) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), _u5516), _u5519)), _u5517)), _u5518) != _u5520) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5517)), _u5518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5519), _u5517)), _u5520)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u5521) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5521), _u5522), _u5523) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5521), _u5522), hAPP(c_Groups_Ouminus__class_Ouminus(_u5521), _u5523))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5524) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5524), _u5525), _u5526) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5524), _u5525), hAPP(c_Groups_Ouminus__class_Ouminus(_u5524), _u5526))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5527) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5527), _u5528), hAPP(c_Groups_Ouminus__class_Ouminus(_u5527), _u5529)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5527), _u5528), _u5529)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5531), _u5532)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5531, _u5530), hAPP(hAPP(c_COMBS(_u5531, _u5530, _u5530), hAPP(hAPP(c_COMBB(_u5530, tc_fun(_u5530, _u5530), _u5531), c_Groups_Oplus__class_Oplus(_u5530)), _u5533)), _u5534)), _u5532) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5530), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5531, _u5530), _u5533), _u5532)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5531, _u5530), _u5534), _u5532))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u5535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), _u5537)), _u5538)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5539), _u5537)), _u5540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5535), _u5536), _u5539)), _u5537)), _u5538)), _u5540)) )).
% 12.28/12.45 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u5535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5535), _u5536), _u5539)), _u5537)), _u5538)), _u5540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), _u5537)), _u5538)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5539), _u5537)), _u5540))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u5541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5542), _u5543)), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5545), _u5543)), _u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), _u5544), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5541), _u5545), _u5542)), _u5543)), _u5546))) )).
% 12.28/12.45 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u5541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), _u5544), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5541), _u5545), _u5542)), _u5543)), _u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5542), _u5543)), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5545), _u5543)), _u5546))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u5547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5548), _u5549)), _u5550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5551), _u5549)), _u5552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), _u5550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5547), _u5551), _u5548)), _u5549)), _u5552))) )).
% 12.28/12.45 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u5547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), _u5550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5547), _u5551), _u5548)), _u5549)), _u5552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5548), _u5549)), _u5550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5551), _u5549)), _u5552))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u5553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5554), _u5555)), _u5556)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5557), _u5555)), _u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5553), _u5554), _u5557)), _u5555)), _u5556)), _u5558)) )).
% 12.28/12.45 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u5553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5553), _u5554), _u5557)), _u5555)), _u5556)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5554), _u5555)), _u5556)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5557), _u5555)), _u5558))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5559), _u5560)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5559), _u5561)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5559, tc_Nat_Onat), _u5562), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5559, tc_HOL_Obool)), _u5560), _u5561)) = 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(_u5559, tc_Nat_Onat), _u5562), _u5560)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5559, tc_Nat_Onat), _u5562), _u5561))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5559, tc_Nat_Onat), _u5562), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5559, tc_HOL_Obool)), _u5560), _u5561)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5563) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5564), _u5565) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5565), _u5564)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5566) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5568), _u5569)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5568), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5567), _u5569))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5570) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), _u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), _u5572), _u5573)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), _u5571), _u5572)), _u5573)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5574) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), _u5575), _u5576)), _u5577) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), _u5575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), _u5576), _u5577))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), _u5579), _u5580)), _u5581) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), _u5579), _u5581)), _u5580)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5582) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5583), _u5584)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5585), _u5586)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5583), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5585), _u5586)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5588), _u5589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5590), _u5591)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5590), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5588), _u5589)), _u5591))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5592) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5594)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5595), _u5596)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5594), _u5596))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5598), _u5599)) | hBOOL(hAPP(hAPP(c_member(_u5598), _u5600), _u5599)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5598, _u5597), _u5601), hAPP(hAPP(c_Set_Oinsert(_u5598), _u5600), _u5599)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5597), hAPP(_u5601, _u5600)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5598, _u5597), _u5601), _u5599))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5603), _u5604)) | hBOOL(hAPP(hAPP(c_member(_u5603), _u5605), _u5604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5603, _u5602), _u5606), hAPP(hAPP(c_Set_Oinsert(_u5603), _u5605), _u5604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5602), hAPP(_u5606, _u5605)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5603, _u5602), _u5606), _u5604))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5608), _u5609)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5608), _u5610)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5607), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5608, tc_HOL_Obool)), _u5609), _u5610))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5608, tc_HOL_Obool)), _u5609), _u5610))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5607), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), _u5609)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), _u5610))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5613), _u5614)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5613, _u5612), _u5615), hAPP(hAPP(c_Set_Oinsert(_u5613), _u5616), _u5614)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5612), hAPP(_u5615, _u5616)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5613, _u5612), _u5615), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5613, tc_HOL_Obool)), _u5614), hAPP(hAPP(c_Set_Oinsert(_u5613), _u5616), c_Orderings_Obot__class_Obot(tc_fun(_u5613, tc_HOL_Obool))))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5618), _u5619)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5618), _u5620)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5618, tc_HOL_Obool)), _u5619), _u5620) != c_Orderings_Obot__class_Obot(tc_fun(_u5618, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5618, _u5617), _u5621), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5618, tc_HOL_Obool)), _u5619), _u5620)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5617), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5618, _u5617), _u5621), _u5619)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5618, _u5617), _u5621), _u5620))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u5622) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5623), _u5624)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5623), _u5625)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5623, tc_HOL_Obool)), _u5624), _u5625)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5622), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5622), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), _u5624)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), _u5625))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5623, tc_HOL_Obool)), _u5624), _u5625)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5627), _u5628)) | ~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), _u5627), _u5629)), _u5630)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5628), _u5629)), _u5631))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5630), 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), _u5628), _u5627)), _u5629)), _u5631))) )).
% 12.28/12.45 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5627), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5630), 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), _u5628), _u5627)), _u5629)), _u5631))) | 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), _u5627), _u5629)), _u5630)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5628), _u5629)), _u5631))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5632), _u5633)) | ~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), _u5633), _u5634)), _u5635)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5632), _u5634)), _u5636))) | 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), _u5633), _u5632)), _u5634)), _u5635)), _u5636)) )).
% 12.28/12.45 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5632), _u5633)) | ~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), _u5633), _u5632)), _u5634)), _u5635)), _u5636)) | 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), _u5633), _u5634)), _u5635)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5632), _u5634)), _u5636))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5637), _u5638)) | ~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), _u5638), _u5639)), _u5640)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5637), _u5639)), _u5641))) | 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), _u5638), _u5637)), _u5639)), _u5640)), _u5641)) )).
% 12.28/12.45 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5637), _u5638)) | ~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), _u5638), _u5637)), _u5639)), _u5640)), _u5641)) | 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), _u5638), _u5639)), _u5640)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5637), _u5639)), _u5641))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5642), _u5643)) | ( 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), _u5643), _u5644)), _u5645)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5642), _u5644)), _u5646)) = 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), _u5643), _u5642)), _u5644)), _u5645)), _u5646)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5647), _u5648)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5648), _u5649)), _u5650) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5647), _u5649)), _u5651)) | ( 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), _u5648), _u5647)), _u5649)), _u5650) = _u5651) )).
% 12.28/12.45 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5647), _u5648)) | ( 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), _u5648), _u5647)), _u5649)), _u5650) != _u5651) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5648), _u5649)), _u5650) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5647), _u5649)), _u5651)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5652), _u5653)) | ~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), _u5652), _u5654)), _u5655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5653), _u5654)), _u5656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5655), 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), _u5653), _u5652)), _u5654)), _u5656))) )).
% 12.28/12.45 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5652), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5655), 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), _u5653), _u5652)), _u5654)), _u5656))) | 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), _u5652), _u5654)), _u5655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5653), _u5654)), _u5656))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5657), _u5658)) | ( 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), _u5657), _u5659)), _u5660)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5658), _u5659)), _u5661)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5660), 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), _u5658), _u5657)), _u5659)), _u5661))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5662, _u5663))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5664))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5665))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5666, _u5667))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5668, _u5669))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5670), _u5671)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5672), _u5671)), _u5673)) = 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), _u5670), _u5672)), _u5671)), _u5673)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u5674, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5675)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5674, tc_HOL_Obool), tc_Nat_Onat), _u5676), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5677))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u5674, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5677, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5675), _u5677))), _u5676)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u5678)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5679, _u5680)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5679), _u5678), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5680), _u5678))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5686)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5681), _u5686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5681), skolem118(_u5686))) )).
% 12.28/12.45 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5687)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem119(_u5687, _u5684)), _u5687)) )).
% 12.28/12.45 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5687, _u5684)), _u5684)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_infinite__UNIV__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5688), _u5689)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5688), _u5690)), _u5691) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5689), _u5690)), _u5692)) | ( _u5691 = 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), _u5689), _u5688)), _u5690)), _u5692)) )).
% 12.28/12.45 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5688), _u5689)) | ( _u5691 != 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), _u5689), _u5688)), _u5690)), _u5692)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5688), _u5690)), _u5691) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5689), _u5690)), _u5692)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5693), _u5694)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5694), _u5695)), _u5693) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5694), _u5693)), _u5695)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5696), _u5697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5697), _u5696)), _u5698) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5697), _u5698)), _u5696)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5699), _u5700)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), _u5700)), _u5699) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5700), _u5699))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5702), _u5703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5703), _u5702) != _u5704) | ( _u5703 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5704), _u5702)) )).
% 12.28/12.45 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5702), _u5703)) | ( _u5703 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5704), _u5702)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5703), _u5702) = _u5704) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5705), _u5706)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5706), _u5705)), _u5705) = _u5706) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5707), _u5708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5709), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5708), _u5707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5709), _u5707)), _u5708)) )).
% 12.28/12.45 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5707), _u5708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5709), _u5707)), _u5708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5709), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5708), _u5707))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5710), _u5711)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5711), _u5710)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5712), _u5711)), _u5710)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_INT__greaterThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_UN__lessThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_UN__atLeast__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_UN__atMost__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5713), _u5713)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__neq__iff-1, axiom, ( ( _u5716 = _u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5716), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5718), _u5716)) )).
% 12.28/12.45 cnf(fact_nat__neq__iff-2, axiom, ( ( _u5717 != _u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5717), _u5719)) )).
% 12.28/12.45 cnf(fact_nat__neq__iff-3, axiom, ( ( _u5717 != _u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5719), _u5717)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u5720 = _u5721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5720), _u5721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5721), _u5720)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5722), _u5722)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5723), _u5724)) | ( _u5724 != _u5723) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5725), _u5726)) | ( _u5725 != _u5726) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5727), _u5728)) | ( _u5727 = _u5728) | hBOOL(hAPP(hAPP(_u5729, _u5728), _u5727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5728), _u5727)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5733), _u5735) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5737), _u5735)) | ( _u5733 = _u5737) )).
% 12.28/12.45 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u5734 != _u5738) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5734), _u5736) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5738), _u5736)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u5744 = _u5746) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5742), _u5744) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5742), _u5746)) )).
% 12.28/12.45 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u5745 != _u5747) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5743), _u5745) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5743), _u5747)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5748), _u5749)), _u5750) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5749), _u5750))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), _u5753)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5751), _u5753))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5754), _u5755) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5755), _u5754)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5756), _u5756)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5757), _u5758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5758), _u5757)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_eq__imp__le-1, axiom, ( ( _u5759 != _u5760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5759), _u5760)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5761), _u5762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5761), _u5763)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5764), _u5765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5764)) | ( _u5764 = _u5765) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5766), _u5767)), _u5768) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5766), _u5768)), _u5767)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5769), _u5770)), _u5771) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5770), _u5771))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5772), _u5773) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5773), _u5772)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u5774), _u5775) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5776), _u5777)), _u5778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5776), _u5778)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5779), _u5780)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5781), _u5780) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5779), _u5782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5781), _u5782)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5783), _u5784)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), _u5786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5783), _u5785)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5784), _u5786))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5787), _u5788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5787), _u5789)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5788), _u5789))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5790), _u5791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5790), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5792), _u5791))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5793), _u5794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5794), _u5795))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5801), _u5803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5799), _u5801)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5799), _u5803))) )).
% 12.28/12.45 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5802), _u5804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5800), _u5802)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5800), _u5804))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5805), _u5806)), _u5806)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5807), _u5808)), _u5807)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5811), _u5813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5811), _u5813)) )).
% 12.28/12.45 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5811), _u5813)) | ( _u5811 != _u5813) )).
% 12.28/12.45 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5812), _u5814)) | ( _u5812 = _u5814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5812), _u5814)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5817), _u5819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5817), _u5819)) | ( _u5817 = _u5819) )).
% 12.28/12.45 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5818), _u5820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5818), _u5820)) )).
% 12.28/12.45 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5818), _u5820)) | ( _u5818 != _u5820) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5821), _u5822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5821), _u5822)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5823), _u5824)) | ( _u5823 = _u5824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5823), _u5824)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5825), _u5826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5825), _u5826)) )).
% 12.28/12.45 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5825), _u5826)) | ( _u5825 != _u5826) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5827), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5828), _u5827))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5829), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5829), _u5830))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5835), _u5837)) | ( _u5837 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5835), skolem120(_u5837, _u5835))) )).
% 12.28/12.45 cnf(fact_le__iff__add-2, axiom, ( ( _u5838 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5836), _u5832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5836), _u5838)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5844), _u5846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5842), _u5844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5842), _u5846))) )).
% 12.28/12.45 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5845), _u5847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5843), _u5845)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5843), _u5847))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5848), _u5849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5849), _u5850))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5851), _u5852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5853), _u5852))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5854), _u5855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5854), _u5856)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5855), _u5856))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5857), _u5858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5859), _u5860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5857), _u5859)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5858), _u5860))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5862), _u5863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5861), _u5862)), _u5863)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5864), _u5865)), _u5866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5864), _u5866)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5867), _u5868)), _u5869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5867), _u5869)) )).
% 12.28/12.45 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), _u5867), _u5868)), _u5869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5868), _u5869)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5870), _u5871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5870), _u5872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5872), _u5871)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5872), _u5870))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5873), _u5874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5873), _u5875)), _u5874)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5876), _u5877)), _u5877) = _u5876) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5878), _u5879)), _u5878) = _u5879) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5880), _u5881)), _u5882) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5880), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5881), _u5882))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5883), _u5884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5883), _u5885)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5884), _u5885)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5886), _u5887)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5888), _u5887)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5886), _u5888)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5889), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5890), _u5891)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5889), _u5890)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5889), _u5891))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5892), _u5893)), _u5894) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5892), _u5894)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5893), _u5894))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5895), _u5896)), _u5895)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5897), _u5898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5899), _u5898)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5899), _u5897))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5900), _u5901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5900), _u5902)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5901), _u5902))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5903), _u5904)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5904), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5904), _u5903)) = _u5903) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5906), _u5905) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5907), _u5905)) | ( _u5906 = _u5907) )).
% 12.28/12.45 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5907)) | ( _u5906 != _u5907) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5906), _u5905) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5907), _u5905)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5908), _u5909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5908), _u5910)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5909), _u5908)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5910), _u5908)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5909), _u5910)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5912), _u5911)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5913), _u5911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5912), _u5913)) )).
% 12.28/12.45 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5912), _u5913)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5912), _u5911)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5913), _u5911))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5914), _u5915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5916), _u5917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5914), _u5916)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5915), _u5917))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5918), _u5919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5920), _u5918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5920), _u5919))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5921), _u5922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5921), _u5923)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5922), _u5923))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5924), _u5924)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5925), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5925), _u5925))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5926), _u5927)), _u5928) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5926), _u5928)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5927), _u5928))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5929), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5930), _u5931)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5929), _u5930)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5929), _u5931))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u5932) = _u5932) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5935), _u5937)) | ( _u5935 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.45 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), _u5935), _u5937)) | ( _u5937 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u5936 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5938 != 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), _u5936), _u5938)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5939), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5939) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5942), _u5944) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5942 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5942), _u5944) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5944 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u5943 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5945 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5943), _u5945) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5946), _u5947)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5947), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5946), _u5947)) = _u5946) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5951), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5953), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5951), _u5955)), _u5953)) )).
% 12.28/12.45 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), _u5952), _u5956)), _u5954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5952), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5954), _u5956))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5958), _u5957)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5959), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5958), _u5959)) )).
% 12.28/12.45 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5958), _u5959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5958), _u5957)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5959), _u5957))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5960), _u5961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5962), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5960), _u5962)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5961), _u5962))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5963), _u5964)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5965), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5964), _u5963)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5965), _u5963)), _u5964)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.28/12.45 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), _u5969), _u5971)), _u5973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5969), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5973), _u5971))) )).
% 12.28/12.45 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5970), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5974), _u5972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5970), _u5972)), _u5974)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5975), _u5976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5976), _u5977)), _u5975))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5978), _u5979)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5978), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5979), _u5978)) = _u5979) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5980) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5980), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5980), c_Groups_Oone__class_Oone(_u5980)), c_Groups_Oone__class_Oone(_u5980))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5980), hAPP(hAPP(c_COMBB(_u5980, _u5980, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u5980), _u5981)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u5980, _u5980), hAPP(hAPP(c_COMBB(_u5980, tc_fun(_u5980, _u5980), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u5980)), c_Nat_Osemiring__1__class_Oof__nat(_u5980))), _u5982))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5983))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5980), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5980), _u5983)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5980), _u5981), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5980), _u5981), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5980), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5983), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u5982))))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u5984) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5985), _u5986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5984), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u5984, _u5984), hAPP(hAPP(c_COMBB(_u5984, tc_fun(_u5984, _u5984), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u5984)), _u5987)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5984, tc_Nat_Onat), _u5987), 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, _u5985, _u5986)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5984), hAPP(_u5987, _u5985)), hAPP(_u5987, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5986), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.28/12.45 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u5984) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5985), _u5986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5984), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u5984, _u5984), hAPP(hAPP(c_COMBB(_u5984, tc_fun(_u5984, _u5984), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u5984)), _u5987)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5984, tc_Nat_Onat), _u5987), 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, _u5985, _u5986)) = c_Groups_Ozero__class_Ozero(_u5984)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5988), _u5989)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5988), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5989), _u5990))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5991), _u5992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5991), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5993), _u5992))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5994), _u5995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5994), _u5995)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5996), _u5997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5996), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5998), _u5997))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5999), _u6000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5999), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6000), _u6001))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6002), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6003)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6004), c_Groups_Ozero__class_Ozero(_u6004)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6004), _u6005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6005)) )).
% 12.28/12.45 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6004), c_Groups_Ozero__class_Ozero(_u6004)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6004), _u6005))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6006), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6006), _u6007)), c_Groups_Ozero__class_Ozero(_u6006))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u6008) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6008), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u6008)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u6009) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6010) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6011)) | ( _u6010 = _u6011) )).
% 12.28/12.45 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u6009) | ( _u6010 != _u6011) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6010) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6011)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6012), c_Groups_Ozero__class_Ozero(_u6012)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6012), _u6013))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6014) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6014), c_Groups_Ozero__class_Ozero(_u6014)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6014), _u6015))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u6016) | ( c_Groups_Ozero__class_Ozero(_u6016) != _u6017) | ( _u6017 = c_Groups_Ozero__class_Ozero(_u6016)) )).
% 12.28/12.45 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u6016) | ( _u6017 != c_Groups_Ozero__class_Ozero(_u6016)) | ( c_Groups_Ozero__class_Ozero(_u6016) = _u6017) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6018) | ( _u6019 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6018), _u6019), _u6020)) | ( _u6020 = c_Groups_Ozero__class_Ozero(_u6018)) )).
% 12.28/12.45 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6018) | ( _u6020 != c_Groups_Ozero__class_Ozero(_u6018)) | ( _u6019 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6018), _u6019), _u6020)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6021) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6021), _u6022), c_Groups_Ozero__class_Ozero(_u6021)) = _u6022) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6023) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6023), c_Groups_Ozero__class_Ozero(_u6023)), _u6024) = _u6024) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u6025) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6025), c_Groups_Ozero__class_Ozero(_u6025)), _u6026) = _u6026) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6027) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6027), c_Groups_Ozero__class_Ozero(_u6027)), _u6028) = _u6028) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6029) | ( c_Groups_Ozero__class_Ozero(_u6029) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6029), _u6030), _u6030)) | ( _u6030 = c_Groups_Ozero__class_Ozero(_u6029)) )).
% 12.28/12.45 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6029) | ( _u6030 != c_Groups_Ozero__class_Ozero(_u6029)) | ( c_Groups_Ozero__class_Ozero(_u6029) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6029), _u6030), _u6030)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u6031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6031), _u6032), c_Groups_Ozero__class_Ozero(_u6031)) = _u6032) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6033) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6033), _u6034), c_Groups_Ozero__class_Ozero(_u6033)) = _u6034) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u6035) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6035), c_Groups_Ozero__class_Ozero(_u6035)), _u6036) = c_Groups_Ozero__class_Ozero(_u6035)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u6037) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6037), _u6038), c_Groups_Ozero__class_Ozero(_u6037)) = c_Groups_Ozero__class_Ozero(_u6037)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), _u6040), _u6041) != c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6040 = c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6041 = c_Groups_Ozero__class_Ozero(_u6039)) )).
% 12.28/12.45 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), _u6040), _u6041) = c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6040 != c_Groups_Ozero__class_Ozero(_u6039)) )).
% 12.28/12.45 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u6039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), _u6040), _u6041) = c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6041 != c_Groups_Ozero__class_Ozero(_u6039)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u6042) | ( _u6043 = c_Groups_Ozero__class_Ozero(_u6042)) | ( _u6044 = c_Groups_Ozero__class_Ozero(_u6042)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6042), _u6043), _u6044) != c_Groups_Ozero__class_Ozero(_u6042)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u6045) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6045), _u6046), _u6047) != c_Groups_Ozero__class_Ozero(_u6045)) | ( _u6046 = c_Groups_Ozero__class_Ozero(_u6045)) | ( _u6047 = c_Groups_Ozero__class_Ozero(_u6045)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6048) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6048), c_Groups_Ozero__class_Ozero(_u6048)), _u6049) = c_Groups_Ozero__class_Ozero(_u6048)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6050) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6050), _u6051), c_Groups_Ozero__class_Ozero(_u6050)) = c_Groups_Ozero__class_Ozero(_u6050)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u6052) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6052), _u6053), c_Groups_Ozero__class_Ozero(_u6052)) = _u6053) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u6054) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6054), _u6055), _u6055) = c_Groups_Ozero__class_Ozero(_u6054)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u6056) | ( _u6057 != _u6058) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6056), _u6057), _u6058) = c_Groups_Ozero__class_Ozero(_u6056)) )).
% 12.28/12.45 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u6056) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6056), _u6057), _u6058) != c_Groups_Ozero__class_Ozero(_u6056)) | ( _u6057 = _u6058) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u6059) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6059), _u6060), _u6061) != c_Groups_Ozero__class_Ozero(_u6059)) | ( _u6060 = _u6061) )).
% 12.28/12.45 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u6059) | ( _u6060 != _u6061) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6059), _u6060), _u6061) = c_Groups_Ozero__class_Ozero(_u6059)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u6062) | ( c_Groups_Oone__class_Oone(_u6062) != c_Groups_Ozero__class_Ozero(_u6062)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u6063) | ( c_Groups_Ozero__class_Ozero(_u6063) != c_Groups_Oone__class_Oone(_u6063)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6064) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6064), _u6065) != _u6065) | ( _u6065 = c_Groups_Ozero__class_Ozero(_u6064)) )).
% 12.28/12.45 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6064) | ( _u6065 != c_Groups_Ozero__class_Ozero(_u6064)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6064), _u6065) = _u6065) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u6066) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6066), _u6067) != c_Groups_Ozero__class_Ozero(_u6066)) | ( _u6067 = c_Groups_Ozero__class_Ozero(_u6066)) )).
% 12.28/12.45 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u6066) | ( _u6067 != c_Groups_Ozero__class_Ozero(_u6066)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6066), _u6067) = c_Groups_Ozero__class_Ozero(_u6066)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6068) | ( _u6069 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6068), _u6069)) | ( _u6069 = c_Groups_Ozero__class_Ozero(_u6068)) )).
% 12.28/12.45 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6068) | ( _u6069 != c_Groups_Ozero__class_Ozero(_u6068)) | ( _u6069 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6068), _u6069)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u6070) | ( c_Groups_Ozero__class_Ozero(_u6070) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6070), _u6071)) | ( c_Groups_Ozero__class_Ozero(_u6070) = _u6071) )).
% 12.28/12.45 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u6070) | ( c_Groups_Ozero__class_Ozero(_u6070) != _u6071) | ( c_Groups_Ozero__class_Ozero(_u6070) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6070), _u6071)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u6072) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6072), c_Groups_Ozero__class_Ozero(_u6072)) = c_Groups_Ozero__class_Ozero(_u6072)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6073), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neq0__conv-1, axiom, ( ( _u6075 = 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)), _u6075)) )).
% 12.28/12.45 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)), _u6076)) | ( _u6076 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6077), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gr__implies__not0-1, axiom, ( ( _u6079 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6078), _u6079)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_gr0I-1, axiom, ( ( _u6080 = 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)), _u6080)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u6082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6081), _u6082) != _u6081) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), _u6087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), _u6087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6087 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_add__is__0-3, axiom, ( ( _u6086 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6088 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6086), _u6088) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6089), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6089) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6090) = _u6090) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6091)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6093), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6093 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_le__0__eq-2, axiom, ( ( _u6094 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6094), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6095) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6096), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6096) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6097), _u6097) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6098), _u6099) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6099), _u6098) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6098 = _u6099) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6103), _u6105) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6103), _u6107)) | ( _u6103 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6105 = _u6107) )).
% 12.28/12.45 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6106) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6108)) | ( _u6104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6106) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6108)) | ( _u6106 != _u6108) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6112), _u6114) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6116), _u6114)) | ( _u6112 = _u6116) | ( _u6114 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6113), _u6115) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6117), _u6115)) | ( _u6113 != _u6117) )).
% 12.28/12.45 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6113), _u6115) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6117), _u6115)) | ( _u6115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6121), _u6123) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6121), _u6125)) | ( _u6123 = _u6125) | ( _u6121 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6126)) | ( _u6124 != _u6126) )).
% 12.28/12.45 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6126)) | ( _u6122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6129), _u6131) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6129 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6131 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6130), _u6132) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6130 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6130), _u6132) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6132 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6133), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6134) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u6135) | c_Fun_Oinj__on(tc_Nat_Onat, _u6135, c_Nat_Osemiring__1__class_Oof__nat(_u6135), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6136), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atLeast__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_lessThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_atMost__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6137) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6138, _u6137), hAPP(c_COMBK(_u6137, _u6138), c_Groups_Ozero__class_Ozero(_u6137))), _u6139) = c_Groups_Ozero__class_Ozero(_u6137)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6140), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6140), _u6141)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6140), _u6142))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6141), _u6142)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6143) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6144), _u6145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6143), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6143), _u6144)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6143), _u6145))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6146), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6147)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6148))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6147), _u6148)) )).
% 12.28/12.45 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6147), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6146), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6147)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6148))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6149), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6150)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6151))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6150), _u6151)) )).
% 12.28/12.45 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6150), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6149), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6150)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6151))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u6152) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6152), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6153), _u6154)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6152), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6152), _u6153)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6152), _u6154))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6155), _u6156), _u6156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), _u6156)) )).
% 12.28/12.45 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), _u6156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6155), _u6156), _u6156))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6157), _u6158), _u6158)), c_Groups_Ozero__class_Ozero(_u6157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), _u6158), c_Groups_Ozero__class_Ozero(_u6157))) )).
% 12.28/12.45 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), _u6158), c_Groups_Ozero__class_Ozero(_u6157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6157), _u6158), _u6158)), c_Groups_Ozero__class_Ozero(_u6157))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Groups_Ozero__class_Ozero(_u6159)), _u6160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Groups_Ozero__class_Ozero(_u6159)), _u6161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Groups_Ozero__class_Ozero(_u6159)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6159), _u6160), _u6161))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6164)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6162), _u6163), _u6164) != c_Groups_Ozero__class_Ozero(_u6162)) | ( _u6163 = c_Groups_Ozero__class_Ozero(_u6162)) )).
% 12.28/12.45 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6164)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6162), _u6163), _u6164) != c_Groups_Ozero__class_Ozero(_u6162)) | ( _u6164 = c_Groups_Ozero__class_Ozero(_u6162)) )).
% 12.28/12.45 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6164)) | ( _u6163 != c_Groups_Ozero__class_Ozero(_u6162)) | ( _u6164 != c_Groups_Ozero__class_Ozero(_u6162)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6162), _u6163), _u6164) = c_Groups_Ozero__class_Ozero(_u6162)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6165), c_Groups_Ozero__class_Ozero(_u6165)), _u6166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6165), _u6167), _u6168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6165), _u6167), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6165), _u6166), _u6168))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6169), c_Groups_Ozero__class_Ozero(_u6169)), _u6170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6169), _u6171), _u6172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6169), _u6171), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6169), _u6172), _u6170))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6173), _u6174), c_Groups_Ozero__class_Ozero(_u6173))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6173), _u6175), c_Groups_Ozero__class_Ozero(_u6173))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6173), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6173), _u6174), _u6175)), c_Groups_Ozero__class_Ozero(_u6173))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6176), _u6177), _u6178)), c_Groups_Ozero__class_Ozero(_u6176))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), c_Groups_Ozero__class_Ozero(_u6176)), _u6177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), _u6178), c_Groups_Ozero__class_Ozero(_u6176))) )).
% 12.28/12.45 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6176), _u6177), _u6178)), c_Groups_Ozero__class_Ozero(_u6176))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), _u6177), c_Groups_Ozero__class_Ozero(_u6176))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), c_Groups_Ozero__class_Ozero(_u6176)), _u6178)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u6179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6179), _u6180), _u6181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), _u6180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), _u6181)) )).
% 12.28/12.45 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u6179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6179), _u6180), _u6181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), _u6180), c_Groups_Ozero__class_Ozero(_u6179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), _u6181), c_Groups_Ozero__class_Ozero(_u6179))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), _u6183), _u6184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), _u6185), _u6186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), c_Groups_Ozero__class_Ozero(_u6182)), _u6184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), c_Groups_Ozero__class_Ozero(_u6182)), _u6185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6182), _u6183), _u6185)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6182), _u6184), _u6186))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u6187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), _u6188), _u6189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), _u6190), _u6191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), c_Groups_Ozero__class_Ozero(_u6187)), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), c_Groups_Ozero__class_Ozero(_u6187)), _u6190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6187), _u6188), _u6190)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6187), _u6189), _u6191))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), _u6195), c_Groups_Ozero__class_Ozero(_u6192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6192), _u6195), _u6194)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6192), _u6195), _u6193))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u6196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6196), _u6197), _u6198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6196), _u6199), c_Groups_Ozero__class_Ozero(_u6196))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6196), _u6198), _u6199)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6196), _u6197), _u6199))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u6200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6200), _u6201), _u6202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6200), c_Groups_Ozero__class_Ozero(_u6200)), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6203), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6203), _u6202))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6204), _u6205), _u6206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6204), c_Groups_Ozero__class_Ozero(_u6204)), _u6207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6204), _u6207), _u6205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6204), _u6207), _u6206))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u6208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), c_Groups_Ozero__class_Ozero(_u6208)), _u6211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6208), _u6209), _u6211)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6208), _u6210), _u6211))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u6212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6212), _u6213), c_Groups_Ozero__class_Ozero(_u6212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6212), _u6214), c_Groups_Ozero__class_Ozero(_u6212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6212), c_Groups_Ozero__class_Ozero(_u6212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6212), _u6213), _u6214))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6215), _u6216), c_Groups_Ozero__class_Ozero(_u6215))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6215), c_Groups_Ozero__class_Ozero(_u6215)), _u6217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6215), _u6216), _u6217)), c_Groups_Ozero__class_Ozero(_u6215))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), c_Groups_Ozero__class_Ozero(_u6218)), _u6219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), _u6220), c_Groups_Ozero__class_Ozero(_u6218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6219)), c_Groups_Ozero__class_Ozero(_u6218))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), c_Groups_Ozero__class_Ozero(_u6221)), _u6222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), _u6223), c_Groups_Ozero__class_Ozero(_u6221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6221), _u6222), _u6223)), c_Groups_Ozero__class_Ozero(_u6221))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u6224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), _u6225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), _u6226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6226))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6228), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.28/12.45 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6229)) )).
% 12.28/12.45 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6229), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6228), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.28/12.45 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6229), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6229)) )).
% 12.28/12.45 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6227) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6229), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.28/12.45 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6227) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6228), c_Groups_Ozero__class_Ozero(_u6227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6229)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6231), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.28/12.45 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6232), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.28/12.45 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6231), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.28/12.45 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6232), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.28/12.45 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6232)) )).
% 12.28/12.45 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6231), c_Groups_Ozero__class_Ozero(_u6230))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6232), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u6233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6233), c_Groups_Ozero__class_Ozero(_u6233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), _u6234), _u6234))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6235), c_Groups_Ozero__class_Ozero(_u6235)), _u6236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6235), _u6237), _u6238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6235), _u6237), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6235), _u6236), _u6238))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6239), _u6240), _u6240))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), _u6240)) )).
% 12.28/12.45 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), _u6240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6239), _u6240), _u6240))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6241), _u6242), _u6242)), c_Groups_Ozero__class_Ozero(_u6241))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), _u6242), c_Groups_Ozero__class_Ozero(_u6241))) )).
% 12.28/12.45 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), _u6242), c_Groups_Ozero__class_Ozero(_u6241))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6241), _u6242), _u6242)), c_Groups_Ozero__class_Ozero(_u6241))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6243), c_Groups_Ozero__class_Ozero(_u6243)), _u6244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6243), c_Groups_Ozero__class_Ozero(_u6243)), _u6245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6243), c_Groups_Ozero__class_Ozero(_u6243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6243), _u6244), _u6245))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6246), _u6247), c_Groups_Ozero__class_Ozero(_u6246))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6246), _u6248), c_Groups_Ozero__class_Ozero(_u6246))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6246), _u6247), _u6248)), c_Groups_Ozero__class_Ozero(_u6246))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6249), _u6250), _u6251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6249), _u6252), c_Groups_Ozero__class_Ozero(_u6249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6249), _u6252), _u6251)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6249), _u6252), _u6250))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6253), _u6254), _u6255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6253), _u6256), c_Groups_Ozero__class_Ozero(_u6253))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6255), _u6256)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6256))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6257), _u6258), _u6259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), _u6258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), _u6259))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6261), _u6262), _u6263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6261), c_Groups_Ozero__class_Ozero(_u6261)), _u6264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6261), _u6264), _u6262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6261), _u6264), _u6263))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6265), _u6266), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6265), c_Groups_Ozero__class_Ozero(_u6265)), _u6268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6265), _u6266), _u6268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6265), _u6267), _u6268))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6269), _u6270), c_Groups_Ozero__class_Ozero(_u6269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6269), _u6271), c_Groups_Ozero__class_Ozero(_u6269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6269), c_Groups_Ozero__class_Ozero(_u6269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6269), _u6270), _u6271))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), _u6273), c_Groups_Ozero__class_Ozero(_u6272))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), c_Groups_Ozero__class_Ozero(_u6272)), _u6274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6272), _u6273), _u6274)), c_Groups_Ozero__class_Ozero(_u6272))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6276), c_Groups_Ozero__class_Ozero(_u6275))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6278), _u6277)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6276), c_Groups_Ozero__class_Ozero(_u6275))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6278), _u6277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6278))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6279), c_Groups_Ozero__class_Ozero(_u6279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6279), _u6280), _u6281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6279), c_Groups_Ozero__class_Ozero(_u6279)), _u6281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6279), c_Groups_Ozero__class_Ozero(_u6279)), _u6280)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6283), _u6284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6284)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6285), c_Groups_Ozero__class_Ozero(_u6285)), _u6286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6285), _u6287), c_Groups_Ozero__class_Ozero(_u6285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6285), _u6287), _u6286)), c_Groups_Ozero__class_Ozero(_u6285))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6288), c_Groups_Ozero__class_Ozero(_u6288)), _u6289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6288), _u6290), c_Groups_Ozero__class_Ozero(_u6288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6288), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6288), _u6289), _u6290)), c_Groups_Ozero__class_Ozero(_u6288))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6291), c_Groups_Ozero__class_Ozero(_u6291)), _u6292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6291), c_Groups_Ozero__class_Ozero(_u6291)), _u6293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6291), c_Groups_Ozero__class_Ozero(_u6291)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6291), _u6292), _u6293))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), _u6296), _u6297)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), _u6296), _u6297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6297))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6299), c_Groups_Ozero__class_Ozero(_u6298))) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6301), _u6300)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6300), _u6301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6299), c_Groups_Ozero__class_Ozero(_u6298))) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6300), _u6301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6301), _u6300)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6300), _u6301)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6299), c_Groups_Ozero__class_Ozero(_u6298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6301), _u6300)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), c_Groups_Ozero__class_Ozero(_u6302)), _u6304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6304), c_Groups_Ozero__class_Ozero(_u6302))) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), c_Groups_Ozero__class_Ozero(_u6302)), _u6304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6305), _u6303)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6303), _u6305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6304), c_Groups_Ozero__class_Ozero(_u6302))) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6303), _u6305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6305), _u6303)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), c_Groups_Ozero__class_Ozero(_u6302)), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6303), _u6305)) )).
% 12.28/12.45 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6304), c_Groups_Ozero__class_Ozero(_u6302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6305), _u6303)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6306), _u6307), _u6307)), c_Groups_Ozero__class_Ozero(_u6306))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u6308) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6309), _u6310)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6308), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6308), _u6309)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6308), _u6310))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6311) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6312), _u6313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) )).
% 12.28/12.45 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6311) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6312), _u6313)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), _u6315), _u6316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6314), _u6315), _u6316)), c_Groups_Ozero__class_Ozero(_u6314))) )).
% 12.28/12.45 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6314), _u6315), _u6316)), c_Groups_Ozero__class_Ozero(_u6314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), _u6315), _u6316)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6317) | ( _u6318 = c_Groups_Ozero__class_Ozero(_u6317)) | ( _u6319 != _u6320) | ( _u6321 = _u6322) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6317), _u6319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6317), _u6318), _u6321)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6317), _u6320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6317), _u6318), _u6322))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6323), c_Groups_Oone__class_Oone(_u6323)), c_Groups_Ozero__class_Ozero(_u6323))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6324), c_Groups_Ozero__class_Ozero(_u6324)), c_Groups_Oone__class_Oone(_u6324))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6325), c_Groups_Oone__class_Oone(_u6325)), c_Groups_Ozero__class_Ozero(_u6325))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6326), c_Groups_Ozero__class_Ozero(_u6326)), c_Groups_Oone__class_Oone(_u6326))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), hAPP(c_Groups_Ouminus__class_Ouminus(_u6327), _u6328)), _u6328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), c_Groups_Ozero__class_Ozero(_u6327)), _u6328)) )).
% 12.28/12.45 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), c_Groups_Ozero__class_Ozero(_u6327)), _u6328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), hAPP(c_Groups_Ouminus__class_Ouminus(_u6327), _u6328)), _u6328)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), hAPP(c_Groups_Ouminus__class_Ouminus(_u6329), _u6330)), c_Groups_Ozero__class_Ozero(_u6329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), c_Groups_Ozero__class_Ozero(_u6329)), _u6330)) )).
% 12.28/12.45 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), c_Groups_Ozero__class_Ozero(_u6329)), _u6330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), hAPP(c_Groups_Ouminus__class_Ouminus(_u6329), _u6330)), c_Groups_Ozero__class_Ozero(_u6329))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), hAPP(c_Groups_Ouminus__class_Ouminus(_u6331), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), c_Groups_Ozero__class_Ozero(_u6331))) )).
% 12.28/12.45 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), c_Groups_Ozero__class_Ozero(_u6331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), hAPP(c_Groups_Ouminus__class_Ouminus(_u6331), _u6332))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), c_Groups_Ozero__class_Ozero(_u6333)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6333), _u6334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), _u6334), c_Groups_Ozero__class_Ozero(_u6333))) )).
% 12.28/12.45 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), _u6334), c_Groups_Ozero__class_Ozero(_u6333))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), c_Groups_Ozero__class_Ozero(_u6333)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6333), _u6334))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), hAPP(c_Groups_Ouminus__class_Ouminus(_u6335), _u6336)), _u6336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), c_Groups_Ozero__class_Ozero(_u6335)), _u6336)) )).
% 12.28/12.45 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), c_Groups_Ozero__class_Ozero(_u6335)), _u6336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), hAPP(c_Groups_Ouminus__class_Ouminus(_u6335), _u6336)), _u6336)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), hAPP(c_Groups_Ouminus__class_Ouminus(_u6337), _u6338)), c_Groups_Ozero__class_Ozero(_u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), c_Groups_Ozero__class_Ozero(_u6337)), _u6338)) )).
% 12.28/12.45 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), c_Groups_Ozero__class_Ozero(_u6337)), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), hAPP(c_Groups_Ouminus__class_Ouminus(_u6337), _u6338)), c_Groups_Ozero__class_Ozero(_u6337))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), c_Groups_Ozero__class_Ozero(_u6339)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6339), _u6340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), _u6340), c_Groups_Ozero__class_Ozero(_u6339))) )).
% 12.28/12.45 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u6339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), _u6340), c_Groups_Ozero__class_Ozero(_u6339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), c_Groups_Ozero__class_Ozero(_u6339)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6339), _u6340))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), hAPP(c_Groups_Ouminus__class_Ouminus(_u6341), _u6342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), c_Groups_Ozero__class_Ozero(_u6341))) )).
% 12.28/12.45 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), c_Groups_Ozero__class_Ozero(_u6341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), hAPP(c_Groups_Ouminus__class_Ouminus(_u6341), _u6342))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u6343) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6343), _u6344), _u6345) != c_Groups_Ozero__class_Ozero(_u6343)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6343), _u6344) = _u6345) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u6346) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6346), hAPP(c_Groups_Ouminus__class_Ouminus(_u6346), _u6347)), _u6347) = c_Groups_Ozero__class_Ozero(_u6346)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u6348) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6348), hAPP(c_Groups_Ouminus__class_Ouminus(_u6348), _u6349)), _u6349) = c_Groups_Ozero__class_Ozero(_u6348)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u6350) | ( _u6351 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6350), _u6352)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6350), _u6351), _u6352) = c_Groups_Ozero__class_Ozero(_u6350)) )).
% 12.28/12.45 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u6350) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6350), _u6351), _u6352) != c_Groups_Ozero__class_Ozero(_u6350)) | ( _u6351 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6350), _u6352)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u6353) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6353), _u6354), hAPP(c_Groups_Ouminus__class_Ouminus(_u6353), _u6354)) = c_Groups_Ozero__class_Ozero(_u6353)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u6355) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6355), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6355)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u6356) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6356), c_Groups_Ozero__class_Ozero(_u6356)), _u6357) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6356), _u6357)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6358) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6359, _u6358), _u6360), c_Orderings_Obot__class_Obot(tc_fun(_u6359, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6358)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6361) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6362, _u6361), _u6363), c_Orderings_Obot__class_Obot(tc_fun(_u6362, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6361)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6364) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6365), _u6366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6365, _u6364), _u6367), _u6366) = c_Groups_Ozero__class_Ozero(_u6364)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 12.28/12.45 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6368) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6369), _u6370)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6369, _u6368), _u6371), _u6370) = c_Groups_Ozero__class_Ozero(_u6368)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.28/12.45 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), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6376)) )).
% 12.28/12.45 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), _u6375), _u6377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6375)) )).
% 12.28/12.45 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), _u6375), _u6377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6377)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6379), _u6378)), _u6379)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.28/12.45 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), _u6382), _u6384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6384), _u6382)) )).
% 12.28/12.45 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6385), _u6383)) | 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), _u6383), _u6385))) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6386)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6387) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6388)) | ( _u6387 = _u6388) )).
% 12.28/12.45 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)), _u6386)) | ( _u6387 != _u6388) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6387) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6388)) )).
% 12.28/12.45
% 12.28/12.45 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.28/12.45 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)), _u6389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6390)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6390), _u6391)) )).
% 12.28/12.45 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)), _u6389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6390), _u6391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6390)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6391))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6394), _u6396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6394)) )).
% 12.28/12.46 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), _u6394), _u6396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6396)) )).
% 12.28/12.46 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)), _u6395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6397)) | 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), _u6395), _u6397))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6401), _u6403)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6401), _u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6401)) )).
% 12.28/12.46 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), _u6401), _u6403)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6401), _u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6403), _u6405)) )).
% 12.28/12.46 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)), _u6402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6404), _u6406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6402), _u6404)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6402), _u6406))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6410), _u6412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6414), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6412)) )).
% 12.28/12.46 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), _u6410), _u6412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6414), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6410), _u6414)) )).
% 12.28/12.46 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)), _u6413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6411), _u6415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6411), _u6413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6415), _u6413))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6416), _u6417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6416), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6417), _u6418))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6419), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6421), _u6419)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6421), _u6420))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6422), _u6423)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6424), _u6425)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6424), _u6425) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6428), _u6430) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6428), _u6430)) )).
% 12.28/12.46 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6429), _u6431)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6429), _u6431) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u6432 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6432), _u6433)) | ( _u6433 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6432 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6436), _u6437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6436, tc_Nat_Onat), _u6438), _u6437) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6436), _u6434), _u6437)) | ( hAPP(_u6438, _u6434) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6436), _u6437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6436, tc_Nat_Onat), _u6438), _u6437) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6436), skolem121(_u6438, _u6437, _u6436)), _u6437)) )).
% 12.28/12.46 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6436), _u6437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6436, tc_Nat_Onat), _u6438), _u6437) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u6438, skolem121(_u6438, _u6437, _u6436)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6439) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6439)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6440) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6440)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), _u6442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), _u6443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6441), _u6442), _u6443))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6444) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6444), c_Groups_Ozero__class_Ozero(_u6444)), _u6445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6444), c_Groups_Ozero__class_Ozero(_u6444)), _u6446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6444), c_Groups_Ozero__class_Ozero(_u6444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6444), _u6445), _u6446))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6447), c_Groups_Ozero__class_Ozero(_u6447)), _u6448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6447), _u6449), _u6450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6447), _u6449), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6447), _u6448), _u6450))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6451), c_Groups_Ozero__class_Ozero(_u6451)), _u6452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6451), _u6453), _u6454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6451), _u6453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6451), _u6452), _u6454))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6455), _u6456), c_Groups_Ozero__class_Ozero(_u6455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6455), _u6457), c_Groups_Ozero__class_Ozero(_u6455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6455), _u6456), _u6457)), c_Groups_Ozero__class_Ozero(_u6455))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u6458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6458), _u6459), c_Groups_Ozero__class_Ozero(_u6458))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6458), _u6460), c_Groups_Ozero__class_Ozero(_u6458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6458), _u6459), _u6460)), c_Groups_Ozero__class_Ozero(_u6458))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6461), c_Groups_Ozero__class_Ozero(_u6461)), _u6462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), _u6463), _u6464)) )).
% 12.28/12.46 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6461), c_Groups_Ozero__class_Ozero(_u6461)), _u6462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), _u6463), _u6464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6464))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6465), _u6466), c_Groups_Ozero__class_Ozero(_u6465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), _u6468), _u6467)) )).
% 12.28/12.46 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6465), _u6466), c_Groups_Ozero__class_Ozero(_u6465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), _u6468), _u6467)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6468))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), _u6470), _u6471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), _u6472), _u6473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), c_Groups_Ozero__class_Ozero(_u6469)), _u6471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6469), c_Groups_Ozero__class_Ozero(_u6469)), _u6472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6469), _u6470), _u6472)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6469), _u6471), _u6473))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6474), _u6475), _u6476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6474), _u6477), _u6478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6474), c_Groups_Ozero__class_Ozero(_u6474)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6474), c_Groups_Ozero__class_Ozero(_u6474)), _u6477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6474), _u6475), _u6477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6474), _u6476), _u6478))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6479) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6479), _u6480), _u6481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6479), _u6482), _u6483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6479), c_Groups_Ozero__class_Ozero(_u6479)), _u6480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6479), c_Groups_Ozero__class_Ozero(_u6479)), _u6482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6479), _u6480), _u6482)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6479), _u6481), _u6483))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6484), _u6485), _u6486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6484), _u6487), _u6488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6484), c_Groups_Ozero__class_Ozero(_u6484)), _u6485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6484), c_Groups_Ozero__class_Ozero(_u6484)), _u6487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6484), _u6485), _u6487)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6484), _u6486), _u6488))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u6489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6489), _u6490), _u6491)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6489), _u6492), _u6491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6489), c_Groups_Ozero__class_Ozero(_u6489)), _u6491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6489), _u6490), _u6492)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), _u6494), _u6495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), _u6496), _u6495))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6493), c_Groups_Ozero__class_Ozero(_u6493)), _u6495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6493), _u6494), _u6496)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u6497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), _u6498), _u6499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), _u6498), _u6500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6497), c_Groups_Ozero__class_Ozero(_u6497)), _u6498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6499), _u6500)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6501), _u6502), _u6503)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6501), _u6502), _u6504))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6501), c_Groups_Ozero__class_Ozero(_u6501)), _u6502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6503), _u6504)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6505), _u6506), _u6507)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6505), _u6508), _u6507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6505), c_Groups_Ozero__class_Ozero(_u6505)), _u6507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6505), _u6506), _u6508)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u6509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6509), _u6510), _u6511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6509), _u6510), _u6512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6509), c_Groups_Ozero__class_Ozero(_u6509)), _u6510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6509), _u6511), _u6512)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), c_Groups_Ozero__class_Ozero(_u6513)), _u6514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), c_Groups_Ozero__class_Ozero(_u6513)), _u6515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), _u6515), c_Groups_Oone__class_Oone(_u6513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6513), _u6514), _u6515)), _u6514)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), c_Groups_Ozero__class_Ozero(_u6516)), _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), c_Groups_Ozero__class_Ozero(_u6516)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), _u6518), c_Groups_Oone__class_Oone(_u6516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6516), _u6518), _u6517)), _u6517)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6519), c_Groups_Ozero__class_Ozero(_u6519)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6519), c_Groups_Oone__class_Oone(_u6519)), c_Groups_Oone__class_Oone(_u6519)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u6520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6521), _u6522)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6522), _u6521)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6520), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6520), _u6522)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6520), _u6521))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u6528, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6530), _u6532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6530), _u6532)) | hBOOL(hAPP(_u6528, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u6528, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6530), _u6532))) | ( _u6530 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6532), _u6523)) | hBOOL(hAPP(_u6528, _u6523)) )).
% 12.28/12.46 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6531), _u6533)) | ( _u6531 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6533), skolem122(_u6533, _u6531, _u6529))) )).
% 12.28/12.46 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6531), _u6533)) | ~hBOOL(hAPP(_u6529, skolem122(_u6533, _u6531, _u6529))) )).
% 12.28/12.46 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | ~hBOOL(hAPP(_u6529, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6531 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6533), skolem122(_u6533, _u6531, _u6529))) )).
% 12.28/12.46 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | ~hBOOL(hAPP(_u6529, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6529, skolem122(_u6533, _u6531, _u6529))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u6539, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6541), _u6543))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6541), _u6543)) | hBOOL(hAPP(_u6539, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u6539, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6541), _u6543))) | ( _u6541 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6543), _u6534)) | hBOOL(hAPP(_u6539, _u6534)) )).
% 12.28/12.46 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6542), _u6544)) | ( _u6542 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6544), skolem123(_u6544, _u6542, _u6540))) )).
% 12.28/12.46 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6542), _u6544)) | ~hBOOL(hAPP(_u6540, skolem123(_u6544, _u6542, _u6540))) )).
% 12.28/12.46 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | ~hBOOL(hAPP(_u6540, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6542 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6544), skolem123(_u6544, _u6542, _u6540))) )).
% 12.28/12.46 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | ~hBOOL(hAPP(_u6540, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6540, skolem123(_u6544, _u6542, _u6540))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6546)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6546), _u6547)) )).
% 12.28/12.46 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)), _u6545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6546), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6546)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6547))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6551), _u6553)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6555), _u6553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6551), _u6555)) )).
% 12.28/12.46 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), _u6552), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6554)) )).
% 12.28/12.46 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), _u6552), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6552), _u6556)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6560), _u6562)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6562), _u6564)) )).
% 12.28/12.46 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), _u6561), _u6563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6561), _u6565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6561)) )).
% 12.28/12.46 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), _u6561), _u6563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6561), _u6565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6563), _u6565)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u6566, hAPP(_u6567, _u6568)) != hAPP(_u6569, hAPP(_u6570, _u6571))) | ( hAPP(hAPP(c_Fun_Ocomp(_u6572, _u6573, _u6574, _u6566), _u6567), _u6568) = hAPP(hAPP(c_Fun_Ocomp(_u6575, _u6573, _u6576, _u6569), _u6570), _u6571)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6581), skolem124(_u6583, _u6582, _u6581)), _u6582)) )).
% 12.28/12.46 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6583, skolem124(_u6583, _u6582, _u6581)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6577), _u6582)) | ( skolem124(_u6583, _u6582, _u6581) = _u6577) | ( hAPP(_u6583, _u6577) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6580), _u6582)) | ( hAPP(_u6583, _u6580) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6581), skolem125(_u6583, _u6582, _u6581, _u6580)), _u6582)) )).
% 12.28/12.46 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6580), _u6582)) | ( hAPP(_u6583, _u6580) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6580 != skolem125(_u6583, _u6582, _u6581, _u6580)) )).
% 12.28/12.46 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6580), _u6582)) | ( hAPP(_u6583, _u6580) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6583, skolem125(_u6583, _u6582, _u6581, _u6580)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6585), _u6586)) | ~hBOOL(hAPP(hAPP(c_member(_u6585), _u6587), _u6586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6585, _u6584), hAPP(hAPP(c_COMBC(_u6585, _u6584, _u6584), hAPP(hAPP(c_COMBS(_u6585, _u6584, tc_fun(_u6584, _u6584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6584, tc_fun(_u6584, _u6584)), _u6585), c_If(_u6584)), hAPP(c_fequal, _u6587))), _u6588)), c_Groups_Ozero__class_Ozero(_u6584))), _u6586) = hAPP(_u6588, _u6587)) )).
% 12.28/12.46 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6585), _u6586)) | hBOOL(hAPP(hAPP(c_member(_u6585), _u6587), _u6586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6585, _u6584), hAPP(hAPP(c_COMBC(_u6585, _u6584, _u6584), hAPP(hAPP(c_COMBS(_u6585, _u6584, tc_fun(_u6584, _u6584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6584, tc_fun(_u6584, _u6584)), _u6585), c_If(_u6584)), hAPP(c_fequal, _u6587))), _u6588)), c_Groups_Ozero__class_Ozero(_u6584))), _u6586) = c_Groups_Ozero__class_Ozero(_u6584)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6590), _u6591)) | ~hBOOL(hAPP(hAPP(c_member(_u6590), _u6592), _u6591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6590, _u6589), hAPP(hAPP(c_COMBC(_u6590, _u6589, _u6589), hAPP(hAPP(c_COMBS(_u6590, _u6589, tc_fun(_u6589, _u6589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6589, tc_fun(_u6589, _u6589)), _u6590), c_If(_u6589)), hAPP(hAPP(c_COMBC(_u6590, _u6590, tc_HOL_Obool), c_fequal), _u6592))), _u6593)), c_Groups_Ozero__class_Ozero(_u6589))), _u6591) = hAPP(_u6593, _u6592)) )).
% 12.28/12.46 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6590), _u6591)) | hBOOL(hAPP(hAPP(c_member(_u6590), _u6592), _u6591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6590, _u6589), hAPP(hAPP(c_COMBC(_u6590, _u6589, _u6589), hAPP(hAPP(c_COMBS(_u6590, _u6589, tc_fun(_u6589, _u6589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6589, tc_fun(_u6589, _u6589)), _u6590), c_If(_u6589)), hAPP(hAPP(c_COMBC(_u6590, _u6590, tc_HOL_Obool), c_fequal), _u6592))), _u6593)), c_Groups_Ozero__class_Ozero(_u6589))), _u6591) = c_Groups_Ozero__class_Ozero(_u6589)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u6594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), _u6595), _u6596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), _u6597), _u6596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), c_Groups_Ozero__class_Ozero(_u6594)), _u6598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), c_Groups_Ozero__class_Ozero(_u6594)), _u6599)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6594), _u6598), _u6599) != c_Groups_Oone__class_Oone(_u6594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6594), _u6598), _u6595)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6594), _u6599), _u6597))), _u6596)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6600, 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(_u6600, tc_HOL_Obool)), tc_fun(_u6600, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u6600, tc_HOL_Obool)), tc_fun(_u6600, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6600, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u6601)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6600, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6601)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6603), _u6604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6603, _u6602), _u6605), _u6604) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6602, _u6603, c_Groups_Oplus__class_Oplus(_u6602)), _u6605), c_Groups_Ozero__class_Ozero(_u6602)), _u6604)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6607), _u6608)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6607, _u6606), _u6609), _u6608) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6606, _u6607, c_Groups_Oplus__class_Oplus(_u6606)), _u6609), c_Groups_Ozero__class_Ozero(_u6606)), _u6608)) )).
% 12.28/12.46 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6606) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6607), _u6608)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6607, _u6606), _u6609), _u6608) = c_Groups_Ozero__class_Ozero(_u6606)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6610) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6611), _u6612)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6611, _u6610), _u6613), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6611, tc_HOL_Obool)), _u6612), _u6614)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6611, _u6610), hAPP(hAPP(c_COMBC(_u6611, _u6610, _u6610), hAPP(hAPP(c_COMBS(_u6611, _u6610, tc_fun(_u6610, _u6610)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6610, tc_fun(_u6610, _u6610)), _u6611), c_If(_u6610)), hAPP(hAPP(c_COMBC(_u6611, tc_fun(_u6611, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6611)), _u6614))), _u6613)), c_Groups_Ozero__class_Ozero(_u6610))), _u6612)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u6615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6615), _u6616), _u6617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6615), _u6618), _u6617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6615), c_Groups_Ozero__class_Ozero(_u6615)), _u6619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6615), c_Groups_Ozero__class_Ozero(_u6615)), _u6620)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6615), _u6619), _u6620) != c_Groups_Oone__class_Oone(_u6615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6615), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6615), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6615), _u6619), _u6616)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6615), _u6620), _u6618))), _u6617)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6624), _u6626)) | ( 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)), _u6624)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6628), _u6626)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6628), _u6624)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6626), _u6624))) )).
% 12.28/12.46 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6625), _u6627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6629), _u6627)) | ( 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)), _u6625)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6629), _u6627)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.28/12.46 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6625), _u6627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6629), _u6627)) | ( 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)), _u6625)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6629), _u6627)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6630, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6631)), _u6632) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6630, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6630, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u6631)), _u6632)), hAPP(_u6632, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6633) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6633), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6633), c_Groups_Oone__class_Oone(_u6633)), c_Groups_Oone__class_Oone(_u6633))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6633), c_Nat_Osemiring__1__class_Oof__nat(_u6633)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u6634))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6633), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6633), _u6634)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6633), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6633), _u6634)), c_Groups_Oone__class_Oone(_u6633)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__eq__if-1, axiom, ( ( _u6637 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6637), _u6639) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_mult__eq__if-2, axiom, ( ( _u6638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6638), _u6640) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6638), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6640))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6642), _u6642)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6643), _u6643))), c_Groups_Ozero__class_Ozero(_u6641))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6644), c_Groups_Ozero__class_Ozero(_u6644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6646), _u6646)))) | ( _u6645 != c_Groups_Ozero__class_Ozero(_u6644)) | ( _u6646 != c_Groups_Ozero__class_Ozero(_u6644)) )).
% 12.28/12.46 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6644), c_Groups_Ozero__class_Ozero(_u6644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6646), _u6646)))) | ( _u6645 = c_Groups_Ozero__class_Ozero(_u6644)) )).
% 12.28/12.46 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6644), c_Groups_Ozero__class_Ozero(_u6644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6646), _u6646)))) | ( _u6646 = c_Groups_Ozero__class_Ozero(_u6644)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u6647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6647), c_Groups_Ozero__class_Ozero(_u6647)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6647), _u6648), _u6648)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6647), _u6649), _u6649)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6652), _u6652))), c_Groups_Ozero__class_Ozero(_u6650))) | ( _u6651 = c_Groups_Ozero__class_Ozero(_u6650)) )).
% 12.28/12.46 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6652), _u6652))), c_Groups_Ozero__class_Ozero(_u6650))) | ( _u6652 = c_Groups_Ozero__class_Ozero(_u6650)) )).
% 12.28/12.46 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6650) | ( _u6651 != c_Groups_Ozero__class_Ozero(_u6650)) | ( _u6652 != c_Groups_Ozero__class_Ozero(_u6650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6652), _u6652))), c_Groups_Ozero__class_Ozero(_u6650))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u6653) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6653), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6654, tc_Nat_Onat), _u6655), _u6656)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6654, _u6653), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u6653, _u6654), c_Nat_Osemiring__1__class_Oof__nat(_u6653)), _u6655)), _u6656)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u6657) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6657), _u6658) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u6657, hAPP(hAPP(c_COMBC(_u6657, _u6657, _u6657), c_Groups_Oplus__class_Oplus(_u6657)), c_Groups_Oone__class_Oone(_u6657)), _u6658, c_Groups_Ozero__class_Ozero(_u6657))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u6659) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u6659, _u6660, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6661) = _u6661) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6664)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6666)))) | ( _u6664 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 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), _u6664)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6666)))) | ( _u6666 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_int__zle__neg-3, axiom, ( ( _u6665 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6667 != 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), _u6665)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6667)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6669)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6669 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_int__le__0__conv-2, axiom, ( ( _u6670 != 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), _u6670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6672) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6672 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u6673 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6673) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__0-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6676)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6678)) | ( _u6676 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 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), _u6676)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6678)) | ( _u6678 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_negative__eq__positive-3, axiom, ( ( _u6677 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6679 != 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), _u6677)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6679)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6682)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6682), _u6684)) )).
% 12.28/12.46 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6683), _u6685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6683)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6685))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6687)) )).
% 12.28/12.46 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)), _u6688)) | 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), _u6688))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6689), _u6690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6691)), _u6689)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6691)), _u6690))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6692)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6693)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6692), _u6693))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6694)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6695)), _u6696)) = 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), _u6694), _u6695))), _u6696)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6699)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6701))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6699), _u6701)) )).
% 12.28/12.46 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6700), _u6702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6700)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6702))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6703), _u6704)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6703)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6704))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6705)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6706)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6705), _u6706))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_inj__int-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 12.28/12.46 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(_u6707, tc_Nat_Onat), _u6708), _u6709)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6707, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u6707), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6708)), _u6709)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6710) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), _u6711), _u6711) != c_Groups_Ozero__class_Ozero(_u6710)) | ( _u6711 = c_Groups_Ozero__class_Ozero(_u6710)) )).
% 12.28/12.46 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u6710) | ( _u6711 != c_Groups_Ozero__class_Ozero(_u6710)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), _u6711), _u6711) = c_Groups_Ozero__class_Ozero(_u6710)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6712), _u6713)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6713)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6712)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6713), _u6712))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6714), _u6715), _u6715)), c_Groups_Ozero__class_Ozero(_u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), _u6715), c_Groups_Ozero__class_Ozero(_u6714))) )).
% 12.28/12.46 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), _u6715), c_Groups_Ozero__class_Ozero(_u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6714), _u6715), _u6715)), c_Groups_Ozero__class_Ozero(_u6714))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6716) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6717), _u6717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6718), _u6718)) != c_Groups_Ozero__class_Ozero(_u6716)) | ( _u6717 = c_Groups_Ozero__class_Ozero(_u6716)) )).
% 12.28/12.46 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6716) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6717), _u6717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6718), _u6718)) != c_Groups_Ozero__class_Ozero(_u6716)) | ( _u6718 = c_Groups_Ozero__class_Ozero(_u6716)) )).
% 12.28/12.46 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u6716) | ( _u6717 != c_Groups_Ozero__class_Ozero(_u6716)) | ( _u6718 != c_Groups_Ozero__class_Ozero(_u6716)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6717), _u6717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6718), _u6718)) = c_Groups_Ozero__class_Ozero(_u6716)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6719), _u6725)) | ~hBOOL(hAPP(_u6727, _u6719)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem126(_u6727, _u6725)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6725))) )).
% 12.28/12.46 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6719), _u6725)) | ~hBOOL(hAPP(_u6727, _u6719)) | hBOOL(hAPP(_u6727, skolem126(_u6727, _u6725))) )).
% 12.28/12.46 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6721), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6726))) | ~hBOOL(hAPP(_u6728, _u6721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem127(_u6728, _u6726)), _u6726)) )).
% 12.28/12.46 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6721), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6726))) | ~hBOOL(hAPP(_u6728, _u6721)) | hBOOL(hAPP(_u6728, skolem127(_u6728, _u6726))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6730), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6735))) | hBOOL(hAPP(_u6737, _u6730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem128(_u6737, _u6735)), _u6735)) )).
% 12.28/12.46 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6730), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6735))) | hBOOL(hAPP(_u6737, _u6730)) | ~hBOOL(hAPP(_u6737, skolem128(_u6737, _u6735))) )).
% 12.28/12.46 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6732), _u6736)) | hBOOL(hAPP(_u6738, _u6732)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem129(_u6738, _u6736)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6736))) )).
% 12.28/12.46 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6732), _u6736)) | hBOOL(hAPP(_u6738, _u6732)) | ~hBOOL(hAPP(_u6738, skolem129(_u6738, _u6736))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6739), _u6745)) | ~hBOOL(hAPP(_u6747, _u6739)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem130(_u6747, _u6745)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6745))) )).
% 12.28/12.46 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6739), _u6745)) | ~hBOOL(hAPP(_u6747, _u6739)) | hBOOL(hAPP(_u6747, skolem130(_u6747, _u6745))) )).
% 12.28/12.46 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6741), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6746))) | ~hBOOL(hAPP(_u6748, _u6741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem131(_u6748, _u6746)), _u6746)) )).
% 12.28/12.46 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6741), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6746))) | ~hBOOL(hAPP(_u6748, _u6741)) | hBOOL(hAPP(_u6748, skolem131(_u6748, _u6746))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6750), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6755))) | hBOOL(hAPP(_u6757, _u6750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u6757, _u6755)), _u6755)) )).
% 12.28/12.46 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6750), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6755))) | hBOOL(hAPP(_u6757, _u6750)) | ~hBOOL(hAPP(_u6757, skolem132(_u6757, _u6755))) )).
% 12.28/12.46 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6752), _u6756)) | hBOOL(hAPP(_u6758, _u6752)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem133(_u6758, _u6756)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6756))) )).
% 12.28/12.46 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6752), _u6756)) | hBOOL(hAPP(_u6758, _u6752)) | ~hBOOL(hAPP(_u6758, skolem133(_u6758, _u6756))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u6762, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6764), _u6766)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6766), _u6764)) | hBOOL(hAPP(_u6762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6764)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6766)))) )).
% 12.28/12.46 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u6762, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6764), _u6766)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6764), _u6766)) | hBOOL(hAPP(_u6762, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6767), _u6765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6765), _u6767)) )).
% 12.28/12.46 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6767), _u6765)) | ~hBOOL(hAPP(_u6763, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | ~hBOOL(hAPP(_u6763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6765)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6767)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6765), _u6767)) )).
% 12.28/12.46 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | ~hBOOL(hAPP(_u6763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6765)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6767)))) | ~hBOOL(hAPP(_u6763, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6769, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem134(_u6772, _u6771, _u6770, _u6769))), _u6770)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, 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), skolem134(_u6772, _u6771, _u6770, _u6769)), _u6771))), _u6772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6769, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6770)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6772))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6773))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6774))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6775))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6776))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6779) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6781)) | ( _u6779 = _u6781) )).
% 12.28/12.46 cnf(fact_int__int__eq-2, axiom, ( ( _u6780 != _u6782) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6780) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6782)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zminus__0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__0__less__1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6783), _u6784) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6783 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46 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)), _u6783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6783), _u6784) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6784 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46 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)), _u6783)) | ( _u6783 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6784 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6783), _u6784) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6785), _u6786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6787), _u6785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6787), _u6786))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6788)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6789)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6790)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6793), _u6795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6793), _u6795)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 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), _u6794), _u6796)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6794), _u6796)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6797), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u6797) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6798) = _u6798) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6803), _u6805)) | ( _u6805 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6803), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem135(_u6805, _u6803)))) )).
% 12.28/12.46 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u6806 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6804), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6804), _u6806)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6807)), _u6807) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6808)), 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), _u6809), _u6808))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u6808), _u6809)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6810))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6811)), _u6811) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6813)) )).
% 12.28/12.46 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)), _u6814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6814)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6815)) | 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)), _u6815))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6817)), _u6817)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6817), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6818), 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)), _u6818)), _u6818)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), _u6823)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6823, _u6821) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.28/12.46 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6822), _u6824)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6824, _u6822) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u6824), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6824), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6822))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6827), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6829), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6827), _u6829)) )).
% 12.28/12.46 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6828), _u6830)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6830), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6833), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6835), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6833), _u6835)) | ( _u6833 = _u6835) )).
% 12.28/12.46 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6834), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6836), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6834), _u6836)) )).
% 12.28/12.46 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6834), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6836), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u6834 != _u6836) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6837), _u6838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6837), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6838)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6841), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6841), _u6843)) )).
% 12.28/12.46 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6842), _u6844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6842), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6844)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6847), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6849), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6847), _u6849)) )).
% 12.28/12.46 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6848), _u6850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6850), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6851), _u6852)), _u6853) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6851), _u6853)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6852), _u6853))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6854), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6855), _u6856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6854), _u6855)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6854), _u6856))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6857), _u6858)), _u6859) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6857), _u6859)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6858), _u6859))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6860), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6861), _u6862)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6860), _u6861)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6860), _u6862))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6863), _u6864) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6863), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6864))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6865), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6866)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6865), _u6866)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6867), _u6868)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6867)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6868))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6869), _u6870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6871), _u6869)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6871), _u6870))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6872), _u6873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6873), _u6872)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6874), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6875), _u6876)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6874), _u6876))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6877), _u6878)), _u6879) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6877), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6878), _u6879))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6882), _u6884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6882), _u6884)) )).
% 12.28/12.46 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6882), _u6884)) | ( _u6882 != _u6884) )).
% 12.28/12.46 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6883), _u6885)) | ( _u6883 = _u6885) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6883), _u6885)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6886), _u6887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6888), _u6889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6886), _u6888)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6887), _u6889))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6890), _u6891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6890), _u6892)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6891), _u6892))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6893), _u6894)) | ( _u6893 = _u6894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6894), _u6893)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6895)), _u6896) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6895), _u6896))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6897), _u6898) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6898), _u6897)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6899), _u6900)), _u6901) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6900), _u6901))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6902), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u6902) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6903) = _u6903) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6904)) = _u6904) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6905), _u6906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6906), _u6905)) | ( _u6905 = _u6906) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6907), _u6908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6908), _u6909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6907), _u6909)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6910), _u6911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6911), _u6910)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6912), _u6912)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6913), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6914) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u6913, _u6914)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6915), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6916) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u6915, _u6916)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u6917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6918), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6917, _u6918)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6919)) | ( _u6919 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6919), _u6921))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6920), _u6919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6921)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6922)) | ( _u6922 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6922), _u6924))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6924), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6925), _u6926)), _u6927))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6927), _u6925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6926)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6928), _u6929)), _u6930)), 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)), _u6930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6929), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6931), _u6932)), _u6933)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6931), _u6934)), _u6935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6933), _u6931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6935), _u6931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6932), _u6934)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6936), _u6937)), _u6938) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6939), _u6940)), _u6941)) | ~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), _u6939), _u6940)), _u6941))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6941), _u6939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6939), _u6936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6937), _u6940)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6942, _u6943))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 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, _u6944), _u6945))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u6946, _u6947))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u6948, _u6949))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_infinite__UNIV__int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6950), _u6951)), _u6952) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6953), _u6954)), _u6955)) | ~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), _u6953), _u6954)), _u6955)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6952), _u6950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6953), _u6950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6954), _u6951)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6956), _u6957)), _u6958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6956), _u6959)), _u6960))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6960), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6956), _u6960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6956), _u6958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6959), _u6957)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6962)) | 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)), _u6962))) )).
% 12.28/12.46 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)), _u6963))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6963)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6964)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6965)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6964), _u6965))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6966)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6967)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6966), _u6967))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u6970)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6970), _u6972)) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6971), _u6973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6971)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6973))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6976), _u6978)) | 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)), _u6976)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6978))) )).
% 12.28/12.46 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)), _u6977)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6977), _u6979)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u6982), _u6984)) | 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)), _u6982)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6984))) )).
% 12.28/12.46 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)), _u6983)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6985))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6983), _u6985)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u6988 != _u6990) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6988) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6990)) )).
% 12.28/12.46 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)), _u6989) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6991)) | ( _u6989 = _u6991) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6994), _u6996)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6994)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6996))) )).
% 12.28/12.46 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), _u6995)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6997))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6995), _u6997)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7000) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7002)) | ( _u7000 = _u7002) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u7001 != _u7003) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7001) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7003)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7005)) | 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), _u7004), _u7005))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7006))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7007)) | ~hBOOL(hAPP(_u7012, _u7007)) | hBOOL(hAPP(_u7012, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem136(_u7012)))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u7013, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem137(_u7013))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u7013, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7009))) | hBOOL(hAPP(_u7013, skolem137(_u7013))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u7019, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7015))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem138(_u7019))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u7019, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7015))) | ~hBOOL(hAPP(_u7019, skolem138(_u7019))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u7020, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem139(_u7020)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7017)) | hBOOL(hAPP(_u7020, _u7017)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7022)) | 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), _u7021), _u7022))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7025)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7025), _u7027)) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7026), _u7028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7026)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7028))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem140(_u7034, _u7033, _u7032, _u7031)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7032))) )).
% 12.28/12.46 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)), _u7032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem141(_u7034, _u7033, _u7032, _u7031)), _u7033)) )).
% 12.28/12.46 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)), _u7032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032))) | ( _u7031 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem141(_u7034, _u7033, _u7032, _u7031)), skolem140(_u7034, _u7033, _u7032, _u7031))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7037), _u7040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7037), _u7038)), _u7040)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem142(_u7040, _u7039, _u7038, _u7037)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7038))) )).
% 12.28/12.46 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)), _u7038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7037), _u7040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7037), _u7038)), _u7040)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem143(_u7040, _u7039, _u7038, _u7037)), _u7039)) )).
% 12.28/12.46 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)), _u7038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7037), _u7040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7037), _u7038)), _u7040)) | ( _u7037 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem143(_u7040, _u7039, _u7038, _u7037)), skolem142(_u7040, _u7039, _u7038, _u7037))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7044)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7045), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7043), _u7045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7043), _u7044)), _u7045)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem144(_u7046, _u7045, _u7044, _u7043)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7044))) )).
% 12.28/12.46 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)), _u7044)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7045), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7043), _u7045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7043), _u7044)), _u7045)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem145(_u7046, _u7045, _u7044, _u7043)), _u7046)) )).
% 12.28/12.46 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)), _u7044)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7045), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7043), _u7045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7043), _u7044)), _u7045)) | ( _u7043 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem145(_u7046, _u7045, _u7044, _u7043)), skolem144(_u7046, _u7045, _u7044, _u7043))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7050)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7051), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7049), _u7050))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem146(_u7052, _u7051, _u7050, _u7049)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7050))) )).
% 12.28/12.46 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)), _u7050)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7051), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7049), _u7050))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem147(_u7052, _u7051, _u7050, _u7049)), _u7052)) )).
% 12.28/12.46 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)), _u7050)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7051), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7049), _u7050))) | ( _u7049 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem147(_u7052, _u7051, _u7050, _u7049)), skolem146(_u7052, _u7051, _u7050, _u7049))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7055), _u7056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7055, tc_HOL_Obool)), _u7057), _u7056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7057)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7056))) | hBOOL(hAPP(hAPP(c_member(_u7055), skolem148(_u7058, _u7057, _u7056, _u7055, _u7054)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7055, tc_HOL_Obool)), _u7056), _u7057))) )).
% 12.28/12.46 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u7054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7055), _u7056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7055, tc_HOL_Obool)), _u7057), _u7056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7057)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), c_Groups_Ozero__class_Ozero(_u7054)), hAPP(_u7058, skolem148(_u7058, _u7057, _u7056, _u7055, _u7054)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.28/12.46 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)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7074)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7075), _u7076)) | ( _u7073 = _u7075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7073), _u7074) != _u7075) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem155(_u7076, _u7075, _u7074, _u7073)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7074))) )).
% 12.28/12.46 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)), _u7074)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7075), _u7076)) | ( _u7073 = _u7075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7073), _u7074) != _u7075) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem156(_u7076, _u7075, _u7074, _u7073)), _u7076)) )).
% 12.28/12.46 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)), _u7074)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7075), _u7076)) | ( _u7073 = _u7075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7073), _u7074) != _u7075) | ( _u7073 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem156(_u7076, _u7075, _u7074, _u7073)), skolem155(_u7076, _u7075, _u7074, _u7073))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7080)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7081), _u7082)) | ( _u7079 = _u7081) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7079), _u7080) != _u7081) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem157(_u7082, _u7081, _u7080, _u7079)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7080))) )).
% 12.28/12.46 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)), _u7080)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7081), _u7082)) | ( _u7079 = _u7081) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7079), _u7080) != _u7081) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem158(_u7082, _u7081, _u7080, _u7079)), _u7082)) )).
% 12.28/12.46 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)), _u7080)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7081), _u7082)) | ( _u7079 = _u7081) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7079), _u7080) != _u7081) | ( _u7079 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem158(_u7082, _u7081, _u7080, _u7079)), skolem157(_u7082, _u7081, _u7080, _u7079))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7086)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7087), _u7088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), _u7085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7085), _u7086))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem159(_u7088, _u7087, _u7086, _u7085)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7086))) )).
% 12.28/12.46 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)), _u7086)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7087), _u7088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), _u7085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7085), _u7086))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem160(_u7088, _u7087, _u7086, _u7085)), _u7088)) )).
% 12.28/12.46 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)), _u7086)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7087), _u7088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), _u7085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7085), _u7086))) | ( _u7085 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem160(_u7088, _u7087, _u7086, _u7085)), skolem159(_u7088, _u7087, _u7086, _u7085))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7092)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7091), _u7093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7091), _u7092)), _u7093)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem161(_u7094, _u7093, _u7092, _u7091)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7092))) )).
% 12.28/12.46 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)), _u7092)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7091), _u7093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7091), _u7092)), _u7093)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem162(_u7094, _u7093, _u7092, _u7091)), _u7094)) )).
% 12.28/12.46 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)), _u7092)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7091), _u7093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7091), _u7092)), _u7093)) | ( _u7091 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem162(_u7094, _u7093, _u7092, _u7091)), skolem161(_u7094, _u7093, _u7092, _u7091))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7097)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), _u7097) = _u7098) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem163(_u7099, _u7098, _u7097)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7097))) )).
% 12.28/12.46 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)), _u7097)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), _u7097) = _u7098) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem164(_u7099, _u7098, _u7097)), _u7099)) )).
% 12.28/12.46 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)), _u7097)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), _u7097) = _u7098) | ( _u7098 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem164(_u7099, _u7098, _u7097)), skolem163(_u7099, _u7098, _u7097))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7102)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), _u7102) = _u7103) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem165(_u7104, _u7103, _u7102)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7102))) )).
% 12.28/12.46 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)), _u7102)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), _u7102) = _u7103) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem166(_u7104, _u7103, _u7102)), _u7104)) )).
% 12.28/12.46 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)), _u7102)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), _u7102) = _u7103) | ( _u7103 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem166(_u7104, _u7103, _u7102)), skolem165(_u7104, _u7103, _u7102))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), _u7107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7107), _u7108))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem167(_u7110, _u7109, _u7108, _u7107)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7108))) )).
% 12.28/12.46 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)), _u7108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), _u7107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7107), _u7108))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem168(_u7110, _u7109, _u7108, _u7107)), _u7109)) )).
% 12.28/12.46 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)), _u7108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), _u7107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7107), _u7108))) | ( _u7107 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem168(_u7110, _u7109, _u7108, _u7107)), skolem167(_u7110, _u7109, _u7108, _u7107))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7113), _u7116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7113), _u7114)), _u7116)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem169(_u7116, _u7115, _u7114, _u7113)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7114))) )).
% 12.28/12.46 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)), _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7113), _u7116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7113), _u7114)), _u7116)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem170(_u7116, _u7115, _u7114, _u7113)), _u7115)) )).
% 12.28/12.46 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)), _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7113), _u7116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7113), _u7114)), _u7116)) | ( _u7113 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem170(_u7116, _u7115, _u7114, _u7113)), skolem169(_u7116, _u7115, _u7114, _u7113))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7120)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7121)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7119, tc_HOL_Obool)), _u7120), _u7121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7120)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7121))) | hBOOL(hAPP(hAPP(c_member(_u7119), skolem171(_u7122, _u7121, _u7120, _u7119, _u7118)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7119, tc_HOL_Obool)), _u7120), _u7121))) )).
% 12.28/12.46 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7120)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7121)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7119, tc_HOL_Obool)), _u7120), _u7121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7120)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7121))) | ( hAPP(_u7122, skolem171(_u7122, _u7121, _u7120, _u7119, _u7118)) != c_Groups_Ozero__class_Ozero(_u7118)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7126)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7127)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7125, tc_HOL_Obool)), _u7126), _u7127)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7124), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7127))) | hBOOL(hAPP(hAPP(c_member(_u7125), skolem172(_u7128, _u7127, _u7126, _u7125, _u7124)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7125, tc_HOL_Obool)), _u7126), _u7127))) )).
% 12.28/12.46 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7126)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7127)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7125, tc_HOL_Obool)), _u7126), _u7127)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7124), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7127))) | ( hAPP(_u7128, skolem172(_u7128, _u7127, _u7126, _u7125, _u7124)) != c_Groups_Ozero__class_Ozero(_u7124)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7130) | ~class_Groups_Oordered__ab__semigroup__add(_u7130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7131), _u7132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7131, tc_HOL_Obool)), _u7133), _u7132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7130), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7133)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7132))) | hBOOL(hAPP(hAPP(c_member(_u7131), skolem173(_u7134, _u7133, _u7132, _u7131, _u7130)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7131, tc_HOL_Obool)), _u7132), _u7133))) )).
% 12.28/12.46 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7130) | ~class_Groups_Oordered__ab__semigroup__add(_u7130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7131), _u7132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7131, tc_HOL_Obool)), _u7133), _u7132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7130), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7133)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7132))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7130), c_Groups_Ozero__class_Ozero(_u7130)), hAPP(_u7134, skolem173(_u7134, _u7133, _u7132, _u7131, _u7130)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | hBOOL(hAPP(hAPP(c_member(_u7138), skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)), _u7139)) )).
% 12.28/12.46 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | hBOOL(hAPP(hAPP(c_member(_u7138), skolem175(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)), _u7139)) )).
% 12.28/12.46 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | ( skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137) != skolem175(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)) )).
% 12.28/12.46 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | ( hAPP(_u7140, skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)) = hAPP(_u7140, skolem175(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137))) )).
% 12.28/12.46 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | ( hAPP(_u7141, hAPP(_u7140, skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137))) != c_Groups_Ozero__class_Ozero(_u7137)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem176(_u7147, _u7146, _u7145, _u7144))), _u7145) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, 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), skolem176(_u7147, _u7146, _u7145, _u7144)), _u7146))), _u7147)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7145) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7147)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7149, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7149, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem177(_u7151, _u7150, _u7149))), _u7150)), _u7151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7149, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7149, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7150)), _u7151)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7154), _u7156)) | ( c_Nat__Transfer_Otsub(_u7156, _u7154) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7156), _u7154)) )).
% 12.28/12.46 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7155), _u7157)) | ( c_Nat__Transfer_Otsub(_u7157, _u7155) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u7158) | ~hBOOL(hAPP(hAPP(c_member(_u7158), _u7159), c_Int_Oring__1__class_OInts(_u7158))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), c_Groups_Oone__class_Oone(_u7158)), _u7159)), _u7159)), c_Groups_Ozero__class_Ozero(_u7158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), _u7159), c_Groups_Ozero__class_Ozero(_u7158))) )).
% 12.28/12.46 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u7158) | ~hBOOL(hAPP(hAPP(c_member(_u7158), _u7159), c_Int_Oring__1__class_OInts(_u7158))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), _u7159), c_Groups_Ozero__class_Ozero(_u7158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), c_Groups_Oone__class_Oone(_u7158)), _u7159)), _u7159)), c_Groups_Ozero__class_Ozero(_u7158))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7160)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7161))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7162))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7162), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7162), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7161))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7163), _u7164)) | ~hBOOL(hAPP(hAPP(c_member(_u7163), _u7165), _u7164)) | ( hAPP(c_Finite__Set_Ocard(_u7163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7163, tc_HOL_Obool)), _u7164), hAPP(hAPP(c_Set_Oinsert(_u7163), _u7165), c_Orderings_Obot__class_Obot(tc_fun(_u7163, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7163), _u7164)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7166), hAPP(c_Nat_OSuc, _u7166))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7167), _u7168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7167)), hAPP(c_Nat_OSuc, _u7168))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7169))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7170)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7171))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7172)) = hAPP(c_Nat_OSuc, _u7172)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u7173 != hAPP(c_Nat_OSuc, _u7173)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7174) != _u7174) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7177) != hAPP(c_Nat_OSuc, _u7179)) | ( _u7177 = _u7179) )).
% 12.28/12.46 cnf(fact_nat_Oinject-2, axiom, ( ( _u7178 != _u7180) | ( hAPP(c_Nat_OSuc, _u7178) = hAPP(c_Nat_OSuc, _u7180)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7181) != hAPP(c_Nat_OSuc, _u7182)) | ( _u7181 = _u7182) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mono__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mono__Suc-1, axiom, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7183) = 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)), _u7183))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7184, _u7185)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7185)), _u7184)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mono__iff__le__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mono__iff__le__Suc-1, axiom, ( ~class_Orderings_Oorder(_u7188) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u7188, _u7189) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7188), hAPP(_u7189, _u7186)), hAPP(_u7189, hAPP(c_Nat_OSuc, _u7186)))) )).
% 12.28/12.46 cnf(fact_mono__iff__le__Suc-2, axiom, ( ~class_Orderings_Oorder(_u7188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7188), hAPP(_u7189, skolem178(_u7189, _u7188))), hAPP(_u7189, hAPP(c_Nat_OSuc, skolem178(_u7189, _u7188))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u7188, _u7189) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__UNIV__unit-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7190) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7191)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7192) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7193) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7194)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7195)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7198), _u7200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7200), hAPP(c_Nat_OSuc, _u7198))) )).
% 12.28/12.46 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7201), hAPP(c_Nat_OSuc, _u7199))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7199), _u7201)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7204), hAPP(c_Nat_OSuc, _u7206))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7204), _u7206)) | ( _u7204 = _u7206) )).
% 12.28/12.46 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7205), hAPP(c_Nat_OSuc, _u7207))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7205), _u7207)) )).
% 12.28/12.46 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7205), hAPP(c_Nat_OSuc, _u7207))) | ( _u7205 != _u7207) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7210)), hAPP(c_Nat_OSuc, _u7212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7210), _u7212)) )).
% 12.28/12.46 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7211), _u7213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7211)), hAPP(c_Nat_OSuc, _u7213))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), hAPP(c_Nat_OSuc, _u7215))) | ( _u7214 = _u7215) )).
% 12.28/12.46 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), _u7215)) | ( _u7214 != _u7215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), hAPP(c_Nat_OSuc, _u7215))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7216), _u7217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7216), hAPP(c_Nat_OSuc, _u7217))) | ( _u7217 = _u7216) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7218), _u7219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7218), hAPP(c_Nat_OSuc, _u7219))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7220), _u7221)) | ( hAPP(c_Nat_OSuc, _u7220) = _u7221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7220)), _u7221)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7222), _u7223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7223), _u7224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7222)), _u7224)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7225), hAPP(c_Nat_OSuc, _u7226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7225), _u7226)) | ( _u7225 = _u7226) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7227)), _u7228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7227), _u7228)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7229)), hAPP(c_Nat_OSuc, _u7230))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7229), _u7230)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7231)), _u7232) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7231), hAPP(c_Nat_OSuc, _u7232))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7233)), _u7234) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7233), _u7234))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7235), hAPP(c_Nat_OSuc, _u7236)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7235), _u7236))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7237)), _u7237)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7240), _u7242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7242)), _u7240)) )).
% 12.28/12.46 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7243)), _u7241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7241), _u7243)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7246), hAPP(c_Nat_OSuc, _u7248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7246), _u7248)) | ( _u7246 = hAPP(c_Nat_OSuc, _u7248)) )).
% 12.28/12.46 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7247), hAPP(c_Nat_OSuc, _u7249))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7247), _u7249)) )).
% 12.28/12.46 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7247), hAPP(c_Nat_OSuc, _u7249))) | ( _u7247 != hAPP(c_Nat_OSuc, _u7249)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7252)), hAPP(c_Nat_OSuc, _u7254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7252), _u7254)) )).
% 12.28/12.46 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7253), _u7255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7253)), hAPP(c_Nat_OSuc, _u7255))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7256), _u7257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7256), hAPP(c_Nat_OSuc, _u7257))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7258), hAPP(c_Nat_OSuc, _u7259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7258), _u7259)) | ( _u7258 = hAPP(c_Nat_OSuc, _u7259)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7260)), _u7261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7260), _u7261)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_bij__betw__same__card ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_bij__betw__same__card-1, axiom, ( ~c_Fun_Obij__betw(_u7262, _u7263, _u7264, _u7265, _u7266) | ( hAPP(c_Finite__Set_Ocard(_u7262), _u7265) = hAPP(c_Finite__Set_Ocard(_u7263), _u7266)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7267)), hAPP(c_Nat_OSuc, _u7268)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7267), _u7268)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7269)), _u7270)), hAPP(c_Nat_OSuc, _u7271)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7269), _u7270)), _u7271)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u7277 = _u7279) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7275)), _u7277) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7275)), _u7279)) )).
% 12.28/12.46 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u7278 != _u7280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7276)), _u7278) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7276)), _u7280)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7281, _u7282)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7282), hAPP(c_Nat_OSuc, _u7281))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7283)) = _u7283) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7284), _u7285)) | ~hBOOL(hAPP(hAPP(c_member(_u7284), _u7286), _u7285)) | ( hAPP(c_Finite__Set_Ocard(_u7284), hAPP(hAPP(c_Set_Oinsert(_u7284), _u7286), _u7285)) = hAPP(c_Finite__Set_Ocard(_u7284), _u7285)) )).
% 12.28/12.46 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7284), _u7285)) | hBOOL(hAPP(hAPP(c_member(_u7284), _u7286), _u7285)) | ( hAPP(c_Finite__Set_Ocard(_u7284), hAPP(hAPP(c_Set_Oinsert(_u7284), _u7286), _u7285)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7284), _u7285))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7287), _u7288)) | hBOOL(hAPP(hAPP(c_member(_u7287), _u7289), _u7288)) | ( hAPP(c_Finite__Set_Ocard(_u7287), hAPP(hAPP(c_Set_Oinsert(_u7287), _u7289), _u7288)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7287), _u7288))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Least__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Least__Suc-1, axiom, ( ~hBOOL(hAPP(_u7290, _u7291)) | hBOOL(hAPP(_u7290, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u7290) = 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), _u7290), c_Nat_OSuc)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u7292) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7292, _u7293, hAPP(c_Nat_OSuc, _u7294), _u7295) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7292, _u7293, _u7294, hAPP(_u7293, _u7295))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7296), _u7297)) | ( hAPP(c_Finite__Set_Ocard(_u7296), hAPP(hAPP(c_Set_Oinsert(_u7296), _u7298), _u7297)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7296), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7296, tc_HOL_Obool)), _u7297), hAPP(hAPP(c_Set_Oinsert(_u7296), _u7298), c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7299), c_Orderings_Obot__class_Obot(tc_fun(_u7299, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7300), _u7301)) | ( hAPP(c_Finite__Set_Ocard(_u7300), _u7301) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u7302) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7303), c_Orderings_Otop__class_Otop(tc_fun(_u7303, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7303), _u7304) != hAPP(c_Finite__Set_Ocard(_u7303), c_Orderings_Otop__class_Otop(tc_fun(_u7303, tc_HOL_Obool)))) | ( _u7304 = c_Orderings_Otop__class_Otop(tc_fun(_u7303, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__image ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u7305, _u7306, _u7307, _u7308) | ( hAPP(c_Finite__Set_Ocard(_u7306), hAPP(c_Set_Oimage(_u7305, _u7306, _u7307), _u7308)) = hAPP(c_Finite__Set_Ocard(_u7305), _u7308)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_BIJ ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_BIJ-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7311), _u7312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7313), _u7314)) | ~c_Fun_Obij__betw(_u7311, _u7313, _u7309, _u7312, _u7314) | ( hAPP(c_Finite__Set_Ocard(_u7311), _u7312) = hAPP(c_Finite__Set_Ocard(_u7313), _u7314)) )).
% 12.28/12.46 cnf(fact_BIJ-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7311), _u7312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7313), _u7314)) | ( hAPP(c_Finite__Set_Ocard(_u7311), _u7312) != hAPP(c_Finite__Set_Ocard(_u7313), _u7314)) | c_Fun_Obij__betw(_u7311, _u7313, skolem179(_u7314, _u7313, _u7312, _u7311), _u7312, _u7314) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7319), hAPP(c_Nat_OSuc, _u7321))) | ( _u7319 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7319 = hAPP(c_Nat_OSuc, skolem180(_u7321, _u7319))) )).
% 12.28/12.46 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7319), hAPP(c_Nat_OSuc, _u7321))) | ( _u7319 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem180(_u7321, _u7319)), _u7321)) )).
% 12.28/12.46 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7320), hAPP(c_Nat_OSuc, _u7322))) | ( _u7320 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7320), hAPP(c_Nat_OSuc, _u7322))) | ( _u7320 != hAPP(c_Nat_OSuc, _u7316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7316), _u7322)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7324), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7324 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_less__Suc0-2, axiom, ( ( _u7325 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7325), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7329)) | ( _u7329 = hAPP(c_Nat_OSuc, skolem181(_u7329))) )).
% 12.28/12.46 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u7330 != hAPP(c_Nat_OSuc, _u7327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7330)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7333), _u7335)) | ( _u7333 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7333 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 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), _u7333), _u7335)) | ( _u7333 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7335 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 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), _u7333), _u7335)) | ( _u7335 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7333 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 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), _u7333), _u7335)) | ( _u7335 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7335 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 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), _u7334), _u7336)) | ( _u7334 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7336 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 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), _u7334), _u7336)) | ( _u7334 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7336 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7339 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7339 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7339 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7341 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7341 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7339 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7341 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7341 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7340), _u7342) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7340 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7342 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7340), _u7342) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7340 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7342 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7343), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7343), _u7344)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7345), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7346), _u7345)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7351), _u7353)) | ( _u7353 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7351), skolem182(_u7353, _u7351)))) )).
% 12.28/12.46 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u7354 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7352), _u7348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7352), _u7354)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7357), _u7359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7357)), _u7359)) )).
% 12.28/12.46 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7358)), _u7360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7358), _u7360)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7363), hAPP(c_Nat_OSuc, _u7365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7363), _u7365)) )).
% 12.28/12.46 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7364), _u7366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7364), hAPP(c_Nat_OSuc, _u7366))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7369)), _u7371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7369), _u7371)) )).
% 12.28/12.46 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7370), _u7372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7370)), _u7372)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7373), _u7374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7373), hAPP(c_Nat_OSuc, _u7374))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7375)), _u7376)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7377), _u7378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7378), hAPP(c_Nat_OSuc, _u7377))) | ( _u7378 = _u7377) )).
% 12.28/12.46 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7377), _u7378)) | ( _u7378 != _u7377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7378), hAPP(c_Nat_OSuc, _u7377))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7379)), _u7380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7379), _u7380)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7383), _u7385) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7383 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7383), _u7385) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7385 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u7384 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7386 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7384), _u7386) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7387), _u7388)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7388), _u7387)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7389), _u7390)), hAPP(c_Nat_OSuc, _u7389))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7396), _u7398)) | ~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, _u7394)), _u7396)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7394)), _u7398))) )).
% 12.28/12.46 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7397), _u7399)) | 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, _u7395)), _u7397)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7395)), _u7399))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7400)), _u7401) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7400), _u7401))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7402), hAPP(c_Nat_OSuc, _u7403)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7402), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7402), _u7403))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7404), _u7405)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7405)), _u7404) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7405), _u7404))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7411), _u7413)) | ~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, _u7409)), _u7411)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7409)), _u7413))) )).
% 12.28/12.46 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7412), _u7414)) | 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, _u7410)), _u7412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7410)), _u7414))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7415) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7415), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7416) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7416)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7417)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u7417) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7418), hAPP(c_Nat_OSuc, _u7419)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7418), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7419)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u7420, 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), _u7420), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7421)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7420), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7421))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7422), _u7423)) | ~hBOOL(hAPP(hAPP(c_member(_u7422), _u7424), _u7423)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7422), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7422, tc_HOL_Obool)), _u7423), hAPP(hAPP(c_Set_Oinsert(_u7422), _u7424), c_Orderings_Obot__class_Obot(tc_fun(_u7422, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u7422), _u7423)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7425), hAPP(c_Nat_OSuc, _u7426)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7425, _u7426)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7427) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7427))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7428), _u7429) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7428, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7428), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7429)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7430, _u7431)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7431), _u7430)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7432)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7432)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7433)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7433), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7433))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7434), _u7435)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7434)), hAPP(c_Nat_OSuc, _u7435))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7436)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7436)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7436))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7437, _u7438)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7437, _u7438), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7438), c_Orderings_Otop__class_Otop(tc_fun(_u7438, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7437), c_Orderings_Otop__class_Otop(tc_fun(_u7437, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7439) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7439), _u7440), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7441)), hAPP(c_Nat_OSuc, _u7442))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7439), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7439, tc_Nat_Onat), _u7440), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7441), _u7442))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7443, _u7444)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7443), hAPP(c_Nat_OSuc, _u7444))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7445) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7445), _u7446), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7447), hAPP(c_Nat_OSuc, _u7448))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7445), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7445, tc_Nat_Onat), _u7446), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7447, _u7448))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7451), _u7453) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7453 = c_Orderings_Obot__class_Obot(tc_fun(_u7451, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7451), _u7453)) )).
% 12.28/12.46 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7452), _u7454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7454 != c_Orderings_Obot__class_Obot(tc_fun(_u7452, tc_HOL_Obool))) )).
% 12.28/12.46 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7452), _u7454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7452), _u7454)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7455), _u7456) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7455, _u7456)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 12.28/12.46 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(_u7457), _u7458))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7457), _u7458)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7459), _u7460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7459), _u7460)), hAPP(c_Finite__Set_Ocard(_u7459), hAPP(hAPP(c_Set_Oinsert(_u7459), _u7461), _u7460)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7462), _u7463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7462, tc_HOL_Obool)), _u7464), _u7463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7462), _u7464)), hAPP(c_Finite__Set_Ocard(_u7462), _u7463))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7465), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7465, tc_HOL_Obool)), _u7467), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7465), _u7466)), hAPP(c_Finite__Set_Ocard(_u7465), _u7467))) | ( _u7467 = _u7466) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7468), _u7469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7470), hAPP(c_Set_Oimage(_u7468, _u7470, _u7471), _u7469))), hAPP(c_Finite__Set_Ocard(_u7468), _u7469))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7472)), _u7473) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7472, _u7473)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u7474) | hBOOL(hAPP(hAPP(c_member(_u7474), c_Groups_Ozero__class_Ozero(_u7474)), c_Int_Oring__1__class_OInts(_u7474))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7475), _u7476)) | ( hAPP(c_Finite__Set_Ocard(_u7477), hAPP(c_Set_Oimage(_u7475, _u7477, _u7478), _u7476)) != hAPP(c_Finite__Set_Ocard(_u7475), _u7476)) | c_Fun_Oinj__on(_u7475, _u7477, _u7478, _u7476) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7479), _u7480)) | ~c_Fun_Oinj__on(_u7479, _u7481, _u7482, _u7480) | ( hAPP(c_Finite__Set_Ocard(_u7481), hAPP(c_Set_Oimage(_u7479, _u7481, _u7482), _u7480)) = hAPP(c_Finite__Set_Ocard(_u7479), _u7480)) )).
% 12.28/12.46 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7479), _u7480)) | ( hAPP(c_Finite__Set_Ocard(_u7481), hAPP(c_Set_Oimage(_u7479, _u7481, _u7482), _u7480)) != hAPP(c_Finite__Set_Ocard(_u7479), _u7480)) | c_Fun_Oinj__on(_u7479, _u7481, _u7482, _u7480) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7483), hAPP(c_Set_Oimage(_u7484, _u7483, _u7485), _u7486))), hAPP(c_Finite__Set_Ocard(_u7484), _u7486))) | ~c_Fun_Oinj__on(_u7484, _u7483, _u7485, _u7486) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u7487) | ~hBOOL(hAPP(hAPP(c_member(_u7487), _u7488), c_Int_Oring__1__class_OInts(_u7487))) | ~hBOOL(hAPP(hAPP(c_member(_u7487), _u7489), c_Int_Oring__1__class_OInts(_u7487))) | hBOOL(hAPP(hAPP(c_member(_u7487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7487), _u7488), _u7489)), c_Int_Oring__1__class_OInts(_u7487))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u7490) | ~hBOOL(hAPP(hAPP(c_member(_u7490), _u7491), c_Int_Oring__1__class_OInts(_u7490))) | ~hBOOL(hAPP(hAPP(c_member(_u7490), _u7492), c_Int_Oring__1__class_OInts(_u7490))) | hBOOL(hAPP(hAPP(c_member(_u7490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7490), _u7491), _u7492)), c_Int_Oring__1__class_OInts(_u7490))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u7493) | ~hBOOL(hAPP(hAPP(c_member(_u7493), _u7494), c_Int_Oring__1__class_OInts(_u7493))) | ~hBOOL(hAPP(hAPP(c_member(_u7493), _u7495), c_Int_Oring__1__class_OInts(_u7493))) | hBOOL(hAPP(hAPP(c_member(_u7493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7493), _u7494), _u7495)), c_Int_Oring__1__class_OInts(_u7493))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u7496) | hBOOL(hAPP(hAPP(c_member(_u7496), c_Groups_Oone__class_Oone(_u7496)), c_Int_Oring__1__class_OInts(_u7496))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u7497) | ~hBOOL(hAPP(hAPP(c_member(_u7497), _u7498), c_Int_Oring__1__class_OInts(_u7497))) | hBOOL(hAPP(hAPP(c_member(_u7497), hAPP(c_Groups_Ouminus__class_Ouminus(_u7497), _u7498)), c_Int_Oring__1__class_OInts(_u7497))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u7499) | hBOOL(hAPP(hAPP(c_member(_u7499), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7499), _u7500)), c_Int_Oring__1__class_OInts(_u7499))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7501), _u7502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7501, tc_HOL_Obool)), _u7503), _u7502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7501), _u7503)), hAPP(c_Finite__Set_Ocard(_u7501), _u7502))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u7504) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7504), hAPP(c_Nat_OSuc, _u7505)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7504), c_Groups_Oone__class_Oone(_u7504)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7504), _u7505))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7506)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7506), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u7506) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7507), hAPP(c_Nat_OSuc, _u7508))), _u7507)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.28/12.46 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))), _u7509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7510)) | 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), _u7510), _u7509))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.28/12.46 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))), _u7511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7511), _u7512))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.28/12.46 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))), _u7513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7513), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7514), _u7513))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7517), _u7519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7517)) )).
% 12.28/12.46 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), _u7517), _u7519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7519)) )).
% 12.28/12.46 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))), _u7518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7520)) | 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), _u7518), _u7520))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7521), _u7522)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7522), _u7521))), _u7523) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7522)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7521), _u7523))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7524), _u7525)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7526), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7525), _u7524))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7526), _u7524)), hAPP(c_Nat_OSuc, _u7525))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__Suc0__eq__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7531), _u7533)) | ( _u7533 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7531), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem183(_u7533, _u7531))))) )).
% 12.28/12.46 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u7534 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7532), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u7528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7532), _u7534)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u7535)) = 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), _u7535))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7540), skolem184(_u7542, _u7541, _u7540)), _u7541)) )).
% 12.28/12.46 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7542, skolem184(_u7542, _u7541, _u7540)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7536), _u7541)) | ( skolem184(_u7542, _u7541, _u7540) = _u7536) | ( hAPP(_u7542, _u7536) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7539), _u7541)) | ( hAPP(_u7542, _u7539) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7540), skolem185(_u7542, _u7541, _u7540, _u7539)), _u7541)) )).
% 12.28/12.46 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7539), _u7541)) | ( hAPP(_u7542, _u7539) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7539 != skolem185(_u7542, _u7541, _u7540, _u7539)) )).
% 12.28/12.46 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7539), _u7541)) | ( hAPP(_u7542, _u7539) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7542, skolem185(_u7542, _u7541, _u7540, _u7539)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u7543) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7544, _u7543), hAPP(c_COMBK(_u7543, _u7544), _u7545)), _u7546) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7543), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7543), hAPP(c_Finite__Set_Ocard(_u7544), _u7546))), _u7545)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7547)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u7547)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7548), hAPP(c_Nat_OSuc, _u7549))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7548, hAPP(c_Nat_OSuc, _u7549)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7549)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7548, _u7549))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7550), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7551), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7550))))) | ( _u7550 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7551), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7550)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7552), hAPP(c_Nat_OSuc, _u7552)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7552), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 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(_u7555), _u7557))) | ( _u7557 != c_Orderings_Obot__class_Obot(tc_fun(_u7555, tc_HOL_Obool))) )).
% 12.28/12.46 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(_u7555), _u7557))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7555), _u7557)) )).
% 12.28/12.46 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u7558 = c_Orderings_Obot__class_Obot(tc_fun(_u7556, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7556), _u7558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7556), _u7558))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7559), c_Orderings_Otop__class_Otop(tc_fun(_u7559, 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(_u7559), c_Orderings_Otop__class_Otop(tc_fun(_u7559, tc_HOL_Obool))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7560) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7560), _u7561), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7562))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7560), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7560), _u7561), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7562))), hAPP(_u7561, _u7562))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7563), _u7564)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7563), _u7565)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7563), _u7564)), hAPP(c_Finite__Set_Ocard(_u7563), _u7565)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7563), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7563, tc_HOL_Obool)), _u7564), _u7565))), hAPP(c_Finite__Set_Ocard(_u7563), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7563, tc_HOL_Obool)), _u7564), _u7565)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7566), _u7567)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7566), _u7568)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7566), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7566, tc_HOL_Obool)), _u7567), _u7568))), hAPP(c_Finite__Set_Ocard(_u7566), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7566, tc_HOL_Obool)), _u7567), _u7568))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7566), _u7567)), hAPP(c_Finite__Set_Ocard(_u7566), _u7568))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u7569, _u7570, _u7571, _u7572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7570, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7569, _u7570, _u7571), _u7572)), _u7573)) | ~c_Fun_Oinj__on(_u7570, _u7569, _u7574, _u7573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7569, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7570, _u7569, _u7574), _u7573)), _u7572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7569), _u7572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7570), _u7573)) | ( hAPP(c_Finite__Set_Ocard(_u7569), _u7572) = hAPP(c_Finite__Set_Ocard(_u7570), _u7573)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7575) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7575), _u7576), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7577))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7575), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7575), _u7576), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7577))), hAPP(_u7576, hAPP(c_Nat_OSuc, _u7577)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7578), _u7579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7578, tc_HOL_Obool)), _u7579), _u7580)) | ( hAPP(c_Finite__Set_Ocard(_u7578), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7578, tc_HOL_Obool)), _u7580), _u7579)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7578), _u7580)), hAPP(c_Finite__Set_Ocard(_u7578), _u7579))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7581), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7581, tc_HOL_Obool)), _u7582), _u7583))) | ( hAPP(c_Finite__Set_Ocard(_u7581), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7581, tc_HOL_Obool)), _u7582), _u7583)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7581), _u7582)), hAPP(c_Finite__Set_Ocard(_u7581), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7581, tc_HOL_Obool)), _u7582), _u7583)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7584), _u7585)) | 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(_u7584), _u7586)), hAPP(c_Finite__Set_Ocard(_u7584), _u7585))), hAPP(c_Finite__Set_Ocard(_u7584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7584, tc_HOL_Obool)), _u7586), _u7585)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7587), _u7588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7587, tc_HOL_Obool)), _u7589), _u7588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7587), _u7589)), hAPP(c_Finite__Set_Ocard(_u7587), _u7588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7587, tc_HOL_Obool)), _u7589), _u7588)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7590)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7590), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u7590) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7591)) | ( _u7591 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7591), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__eq__if-1, axiom, ( ( _u7594 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7594), _u7596) = _u7596) )).
% 12.28/12.46 cnf(fact_add__eq__if-2, axiom, ( ( _u7595 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7595), _u7597) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7595), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7597))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7598)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u7598)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7598), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7599)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u7599)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7599)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7600))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7601)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7602), _u7603)) | ( hAPP(c_Finite__Set_Ocard(_u7602), _u7603) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7602, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7602), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7603)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7606), _u7608)) | ( hAPP(c_Finite__Set_Ocard(_u7606), _u7608) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7606, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7606), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7608)) )).
% 12.28/12.46 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7607), _u7609)) | ( hAPP(c_Finite__Set_Ocard(_u7607), _u7609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7610) | ~hBOOL(hAPP(hAPP(c_member(_u7610), _u7611), c_Int_Oring__1__class_OInts(_u7610))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7610), _u7611), _u7611) != c_Groups_Ozero__class_Ozero(_u7610)) | ( _u7611 = c_Groups_Ozero__class_Ozero(_u7610)) )).
% 12.28/12.46 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7610) | ~hBOOL(hAPP(hAPP(c_member(_u7610), _u7611), c_Int_Oring__1__class_OInts(_u7610))) | ( _u7611 != c_Groups_Ozero__class_Ozero(_u7610)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7610), _u7611), _u7611) = c_Groups_Ozero__class_Ozero(_u7610)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7612) | ( hAPP(_u7613, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7612)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7612), _u7613), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7614)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7612), _u7613), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7614))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7616), _u7617)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7615), _u7618), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7616), _u7617)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), hAPP(_u7618, _u7616)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7615), _u7618), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7616)), _u7617)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7619) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7620), _u7621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7619), _u7622), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7620, _u7621)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7619), hAPP(_u7622, _u7620)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7619), _u7622), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7620), _u7621)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7625), _u7627)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7625), hAPP(c_Nat_OSuc, _u7627)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7627), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7625), _u7627))) )).
% 12.28/12.46 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7626), _u7628)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7626), hAPP(c_Nat_OSuc, _u7628)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7629), _u7630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7629), _u7631)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7629, tc_HOL_Obool)), _u7630), _u7631) != c_Orderings_Obot__class_Obot(tc_fun(_u7629, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u7629), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7629, tc_HOL_Obool)), _u7630), _u7631)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7629), _u7630)), hAPP(c_Finite__Set_Ocard(_u7629), _u7631))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7632), _u7633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7632), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7632, tc_HOL_Obool)), _u7633), hAPP(hAPP(c_Set_Oinsert(_u7632), _u7634), c_Orderings_Obot__class_Obot(tc_fun(_u7632, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u7632), _u7633))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7635), _u7636)) | hBOOL(hAPP(hAPP(c_member(_u7635), _u7637), _u7636)) | ( hAPP(c_Finite__Set_Ocard(_u7635), hAPP(hAPP(c_Set_Oinsert(_u7635), _u7637), _u7636)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7635), _u7636))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u7638, _u7639, _u7640, _u7641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7639, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7638, _u7639, _u7640), _u7641)), _u7642)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7639), _u7642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7638), _u7641)), hAPP(c_Finite__Set_Ocard(_u7639), _u7642))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7647), _u7648)) | ~c_Fun_Oinj__on(_u7645, _u7647, _u7643, _u7646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7647, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7645, _u7647, _u7643), _u7646)), _u7648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7645), _u7646)), hAPP(c_Finite__Set_Ocard(_u7647), _u7648))) )).
% 12.28/12.46 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7647), _u7648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7645), _u7646)), hAPP(c_Finite__Set_Ocard(_u7647), _u7648))) | c_Fun_Oinj__on(_u7645, _u7647, skolem186(_u7648, _u7647, _u7646, _u7645), _u7646) )).
% 12.28/12.46 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7647), _u7648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7645), _u7646)), hAPP(c_Finite__Set_Ocard(_u7647), _u7648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7647, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7645, _u7647, skolem186(_u7648, _u7647, _u7646, _u7645)), _u7646)), _u7648)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u7649, _u7650))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7651), _u7652)) | ( c_Nat__Transfer_Otsub(_u7652, _u7651) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7652), _u7651)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7653), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7654)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7653), _u7654))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7655)) = 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), _u7655)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7657), _u7658)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7656), _u7659), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7658), hAPP(c_Nat_OSuc, _u7657))) = c_Groups_Ozero__class_Ozero(_u7656)) )).
% 12.28/12.46 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7656) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7657), _u7658)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7656), _u7659), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7658), hAPP(c_Nat_OSuc, _u7657))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7656), _u7659), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7658), _u7657))), hAPP(_u7659, _u7657))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7661)), _u7662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7660), _u7663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7662, hAPP(c_Nat_OSuc, _u7661))) = c_Groups_Ozero__class_Ozero(_u7660)) )).
% 12.28/12.46 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7661)), _u7662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7660), _u7663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7662, hAPP(c_Nat_OSuc, _u7661))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7660), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7660), _u7663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7662, _u7661))), hAPP(_u7663, hAPP(c_Nat_OSuc, _u7661)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_greaterThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7664), _u7665)) | ~hBOOL(hAPP(hAPP(c_member(_u7664), _u7666), _u7665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7664, tc_HOL_Obool)), _u7665), hAPP(hAPP(c_Set_Oinsert(_u7664), _u7666), c_Orderings_Obot__class_Obot(tc_fun(_u7664, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u7664), _u7665))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7667), _u7668)) | ~hBOOL(hAPP(hAPP(c_member(_u7667), _u7669), _u7668)) | ~hBOOL(hAPP(hAPP(c_member(_u7667), _u7670), _u7668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7667, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7667, tc_HOL_Obool)), _u7668), hAPP(hAPP(c_Set_Oinsert(_u7667), _u7669), c_Orderings_Obot__class_Obot(tc_fun(_u7667, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u7667), _u7670), c_Orderings_Obot__class_Obot(tc_fun(_u7667, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u7667), _u7668))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u7671) | ~hBOOL(hAPP(hAPP(c_member(_u7671), _u7672), c_Int_Oring__1__class_OInts(_u7671))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7671), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7671), c_Groups_Oone__class_Oone(_u7671)), _u7672)), _u7672) != c_Groups_Ozero__class_Ozero(_u7671)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7673), _u7674)) | ~hBOOL(hAPP(hAPP(c_member(_u7673), _u7675), _u7674)) | hBOOL(hAPP(hAPP(c_member(_u7673), _u7675), _u7676)) | ( hAPP(c_Finite__Set_Ocard(_u7673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7673, tc_HOL_Obool)), _u7674), hAPP(hAPP(c_Set_Oinsert(_u7673), _u7675), _u7676))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7673, tc_HOL_Obool)), _u7674), _u7676))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7677), _u7678)) | ( hAPP(c_Finite__Set_Ocard(_u7677), hAPP(hAPP(c_Set_Oinsert(_u7677), _u7679), _u7678)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7677), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7677, tc_HOL_Obool)), _u7678), hAPP(hAPP(c_Set_Oinsert(_u7677), _u7679), c_Orderings_Obot__class_Obot(tc_fun(_u7677, tc_HOL_Obool))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7680), _u7681)) | ~hBOOL(hAPP(hAPP(c_member(_u7680), _u7682), _u7681)) | ( hAPP(c_Finite__Set_Ocard(_u7680), _u7681) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7680), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7680, tc_HOL_Obool)), _u7681), hAPP(hAPP(c_Set_Oinsert(_u7680), _u7682), c_Orderings_Obot__class_Obot(tc_fun(_u7680, tc_HOL_Obool))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7683), _u7684)) | ~hBOOL(hAPP(hAPP(c_member(_u7683), _u7685), _u7684)) | ( hAPP(c_Finite__Set_Ocard(_u7683), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7683, tc_HOL_Obool)), _u7684), hAPP(hAPP(c_Set_Oinsert(_u7683), _u7685), c_Orderings_Obot__class_Obot(tc_fun(_u7683, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7683), _u7684)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7683), _u7684)) | hBOOL(hAPP(hAPP(c_member(_u7683), _u7685), _u7684)) | ( hAPP(c_Finite__Set_Ocard(_u7683), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7683, tc_HOL_Obool)), _u7684), hAPP(hAPP(c_Set_Oinsert(_u7683), _u7685), c_Orderings_Obot__class_Obot(tc_fun(_u7683, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u7683), _u7684)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7688)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7689)) | ( hAPP(c_Finite__Set_Ocard(_u7687), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7687, tc_HOL_Obool)), _u7688), _u7689)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7687), _u7688)), hAPP(c_Finite__Set_Ocard(_u7687), _u7689))) | hBOOL(hAPP(hAPP(c_member(_u7687), skolem187(_u7689, _u7688, _u7687)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7687, tc_HOL_Obool)), _u7688), _u7689))) )).
% 12.28/12.46 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7688)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7689)) | ( hAPP(c_Finite__Set_Ocard(_u7687), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7687, tc_HOL_Obool)), _u7688), _u7689)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7687), _u7688)), hAPP(c_Finite__Set_Ocard(_u7687), _u7689))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u7691) | ~class_Rings_Osemiring__1(_u7691) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7692, _u7691), _u7694), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7691), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7691), hAPP(c_Finite__Set_Ocard(_u7692), _u7693))), _u7695))) | hBOOL(hAPP(hAPP(c_member(_u7692), skolem188(_u7695, _u7694, _u7693, _u7692, _u7691)), _u7693)) )).
% 12.28/12.46 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u7691) | ~class_Rings_Osemiring__1(_u7691) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7692, _u7691), _u7694), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7691), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7691), hAPP(c_Finite__Set_Ocard(_u7692), _u7693))), _u7695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7691), hAPP(_u7694, skolem188(_u7695, _u7694, _u7693, _u7692, _u7691))), _u7695)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ( _u7705 = hAPP(hAPP(c_Set_Oinsert(_u7703), skolem189(_u7707, _u7705, _u7703)), skolem190(_u7707, _u7705, _u7703))) )).
% 12.28/12.46 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ~hBOOL(hAPP(hAPP(c_member(_u7703), skolem189(_u7707, _u7705, _u7703)), skolem190(_u7707, _u7705, _u7703))) )).
% 12.28/12.46 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ( hAPP(c_Finite__Set_Ocard(_u7703), skolem190(_u7707, _u7705, _u7703)) = _u7707) )).
% 12.28/12.46 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ( _u7707 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem190(_u7707, _u7705, _u7703) = c_Orderings_Obot__class_Obot(tc_fun(_u7703, tc_HOL_Obool))) )).
% 12.28/12.46 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7704), _u7706) = hAPP(c_Nat_OSuc, _u7708)) | ( _u7706 != hAPP(hAPP(c_Set_Oinsert(_u7704), _u7699), _u7698)) | hBOOL(hAPP(hAPP(c_member(_u7704), _u7699), _u7698)) | ( hAPP(c_Finite__Set_Ocard(_u7704), _u7698) != _u7708) | ( _u7708 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7704), _u7706) = hAPP(c_Nat_OSuc, _u7708)) | ( _u7706 != hAPP(hAPP(c_Set_Oinsert(_u7704), _u7699), _u7698)) | hBOOL(hAPP(hAPP(c_member(_u7704), _u7699), _u7698)) | ( hAPP(c_Finite__Set_Ocard(_u7704), _u7698) != _u7708) | ( _u7698 != c_Orderings_Obot__class_Obot(tc_fun(_u7704, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7713), _u7715)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7717), _u7719)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7713, _u7717)), c_Sum__Type_OPlus(_u7713, _u7717, _u7715, _u7719)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7713), _u7715)), hAPP(c_Finite__Set_Ocard(_u7717), _u7719))) )).
% 12.28/12.46 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7714, _u7718)), c_Sum__Type_OPlus(_u7714, _u7718, _u7716, _u7720)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7714), _u7716)) )).
% 12.28/12.46 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7714, _u7718)), c_Sum__Type_OPlus(_u7714, _u7718, _u7716, _u7720)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7718), _u7720)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7721)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7721) = 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, _u7721)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7724), _u7725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7724, _u7723), _u7726), _u7725) != c_Groups_Ozero__class_Ozero(_u7723)) | ~hBOOL(hAPP(hAPP(c_member(_u7724), _u7727), _u7725)) | ( hAPP(_u7726, _u7727) = c_Groups_Ozero__class_Ozero(_u7723)) | hBOOL(hAPP(hAPP(c_member(_u7724), skolem191(_u7727, _u7726, _u7725, _u7724, _u7723)), _u7725)) )).
% 12.28/12.46 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7724), _u7725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7724, _u7723), _u7726), _u7725) != c_Groups_Ozero__class_Ozero(_u7723)) | ~hBOOL(hAPP(hAPP(c_member(_u7724), _u7727), _u7725)) | ( hAPP(_u7726, _u7727) = c_Groups_Ozero__class_Ozero(_u7723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7723), c_Groups_Ozero__class_Ozero(_u7723)), hAPP(_u7726, skolem191(_u7727, _u7726, _u7725, _u7724, _u7723)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7728)) = _u7728) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__0-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7730)) | ( hAPP(c_Int_Onat, _u7729) != hAPP(c_Int_Onat, _u7730)) | ( _u7729 = _u7730) )).
% 12.28/12.46 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)), _u7729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7730)) | ( _u7729 != _u7730) | ( hAPP(c_Int_Onat, _u7729) = hAPP(c_Int_Onat, _u7730)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7732)) | ( hAPP(c_Int_Onat, _u7731) != hAPP(c_Int_Onat, _u7732)) | ( _u7731 = _u7732) )).
% 12.28/12.46 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)), _u7731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7732)) | ( _u7731 != _u7732) | ( hAPP(c_Int_Onat, _u7731) = hAPP(c_Int_Onat, _u7732)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u7738, skolem192(_u7738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7734)) | hBOOL(hAPP(_u7738, hAPP(c_Int_Onat, _u7734))) )).
% 12.28/12.46 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u7739, _u7736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem193(_u7739))) )).
% 12.28/12.46 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u7739, _u7736)) | ~hBOOL(hAPP(_u7739, hAPP(c_Int_Onat, skolem193(_u7739)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u7745, _u7740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u7745))) )).
% 12.28/12.46 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u7745, _u7740)) | hBOOL(hAPP(_u7745, hAPP(c_Int_Onat, skolem194(_u7745)))) )).
% 12.28/12.46 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)), _u7742)) | ~hBOOL(hAPP(_u7746, hAPP(c_Int_Onat, _u7742))) | hBOOL(hAPP(_u7746, skolem195(_u7746))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7747)) = _u7747) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7748), _u7749) = 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)), _u7748)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7749)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7750)) = hAPP(c_Int_Onat, _u7750)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7751), _u7752)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7752), _u7751))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7753, _u7754)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7754), _u7753))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u7756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7756), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7757), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7758), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7758) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7761)), hAPP(c_Int_Onat, _u7763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7763)) )).
% 12.28/12.46 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7761)), hAPP(c_Int_Onat, _u7763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7761), _u7763)) )).
% 12.28/12.46 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)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7762), _u7764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7762)), hAPP(c_Int_Onat, _u7764))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7766)), hAPP(c_Int_Onat, _u7765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7765)) )).
% 12.28/12.46 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)), _u7765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7766)), hAPP(c_Int_Onat, _u7765))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7767)), hAPP(c_Int_Onat, _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7767), _u7768)) )).
% 12.28/12.46 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)), _u7767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7767), _u7768)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7767)), hAPP(c_Int_Onat, _u7768))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__1-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7769)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7769)) = _u7769) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7772) != _u7774) | ( _u7772 = hAPP(c_Int_Onat, _u7774)) )).
% 12.28/12.46 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7772) != _u7774) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7774)) )).
% 12.28/12.46 cnf(fact_int__eq__iff-3, axiom, ( ( _u7773 != hAPP(c_Int_Onat, _u7775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7775)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7773) = _u7775) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7777)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7777)) = _u7777) )).
% 12.28/12.46 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)), _u7778)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7778)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7781), hAPP(c_Int_Onat, _u7783))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7781)), _u7783)) )).
% 12.28/12.46 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), _u7782)), _u7784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7782), hAPP(c_Int_Onat, _u7784))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7785))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7786, _u7787) = 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), _u7786), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7787)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7788) | ~class_Groups_Ocomm__monoid__mult(_u7788) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7788), _u7789), _u7790) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7788), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7788, tc_Int_Oint), _u7789), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7790))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7792)) )).
% 12.28/12.46 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)), _u7793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u7793))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7794)), hAPP(c_Int_Onat, _u7795))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7794), _u7795)) )).
% 12.28/12.46 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)), _u7794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7794), _u7795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7794)), hAPP(c_Int_Onat, _u7795))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7796)), hAPP(c_Int_Onat, _u7797))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7796), _u7797)) )).
% 12.28/12.46 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)), _u7796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7796), _u7797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7796)), hAPP(c_Int_Onat, _u7797))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u7800 != hAPP(c_Int_Onat, _u7802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7802)) | ( _u7802 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7800)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u7800 != hAPP(c_Int_Onat, _u7802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7802)) | ( _u7800 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u7801 = hAPP(c_Int_Onat, _u7803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803)) | ( _u7801 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u7801 = hAPP(c_Int_Onat, _u7803)) | ( _u7803 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u7801 = hAPP(c_Int_Onat, _u7803)) | ( _u7803 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7801)) | ( _u7801 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u7806) != _u7808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ( _u7806 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7808)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u7806) != _u7808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ( _u7808 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u7807) = _u7809) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7807)) | ( _u7809 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u7807) = _u7809) | ( _u7807 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7807)) )).
% 12.28/12.46 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u7807) = _u7809) | ( _u7807 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7809)) | ( _u7809 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) )).
% 12.28/12.46 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)), _u7810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) )).
% 12.28/12.46 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)), _u7811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) )).
% 12.28/12.46 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)), _u7811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u7816, hAPP(c_Int_Onat, _u7818))) | ( _u7818 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7812)) | hBOOL(hAPP(_u7816, _u7812)) )).
% 12.28/12.46 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u7816, hAPP(c_Int_Onat, _u7818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7818), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u7816, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ( _u7819 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem196(_u7819, _u7817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ( _u7819 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem196(_u7819, _u7817))) | ~hBOOL(hAPP(_u7817, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ~hBOOL(hAPP(_u7817, skolem196(_u7819, _u7817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ~hBOOL(hAPP(_u7817, skolem196(_u7819, _u7817))) | ~hBOOL(hAPP(_u7817, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7820), _u7821)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7820)), hAPP(c_Int_Onat, _u7821))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7823)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7822)), hAPP(c_Int_Onat, _u7823)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7822), _u7823))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7824)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7824), _u7825)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7824)), hAPP(c_Int_Onat, _u7825))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7827)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7826)), hAPP(c_Int_Onat, _u7827)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7826), _u7827))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7828), _u7829) = 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)), _u7828)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7829)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7830), _u7831)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7831), _u7830)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7831)), hAPP(c_Int_Onat, _u7830))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7832, tc_Nat_Onat), _u7833), _u7834) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7832, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7832), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7833)), _u7834))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7835, _u7836)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7836), _u7835)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7837) = 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), _u7837)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7839)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7838)), hAPP(c_Int_Onat, _u7839)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u7838, _u7839))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7841), _u7843)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7840, _u7841)), c_Sum__Type_OPlus(_u7840, _u7841, _u7842, _u7843))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7844, _u7845)), c_Sum__Type_OPlus(_u7844, _u7845, _u7846, _u7847))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7844), _u7846)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7848), _u7849)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7850), _u7851)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7848, _u7850)), c_Sum__Type_OPlus(_u7848, _u7850, _u7849, _u7851))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7856, _u7858)), c_Sum__Type_OPlus(_u7856, _u7858, _u7860, _u7862))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7856), _u7860)) )).
% 12.28/12.46 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7856, _u7858)), c_Sum__Type_OPlus(_u7856, _u7858, _u7860, _u7862))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7858), _u7862)) )).
% 12.28/12.46 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7857), _u7861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7859), _u7863)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7857, _u7859)), c_Sum__Type_OPlus(_u7857, _u7859, _u7861, _u7863))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7864, _u7865)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 12.28/12.46 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, _u7867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7867)) )).
% 12.28/12.46 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)), _u7868)) | 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, _u7868))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7869)), _u7870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7870))) )).
% 12.28/12.46 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)), _u7869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7869)), _u7870)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7871)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u7871)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7871))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7872), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7872), _u7873)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7872))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7873)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7874), _u7875)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7876), _u7877)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7874, _u7876)), c_Sum__Type_OPlus(_u7874, _u7876, _u7875, _u7877)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7874), _u7875)), hAPP(c_Finite__Set_Ocard(_u7876), _u7877))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u7878, _u7879, c_Orderings_Otop__class_Otop(tc_fun(_u7878, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7879, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7878, _u7879), tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u7880, _u7881) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7880)), _u7881)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__morphism__nat__int-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u7886, _u7888, _u7890, _u7892) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7886, _u7888), tc_HOL_Obool))) | ( _u7890 = c_Orderings_Obot__class_Obot(tc_fun(_u7886, tc_HOL_Obool))) )).
% 12.28/12.46 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u7886, _u7888, _u7890, _u7892) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7886, _u7888), tc_HOL_Obool))) | ( _u7892 = c_Orderings_Obot__class_Obot(tc_fun(_u7888, tc_HOL_Obool))) )).
% 12.28/12.46 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u7891 != c_Orderings_Obot__class_Obot(tc_fun(_u7887, tc_HOL_Obool))) | ( _u7893 != c_Orderings_Obot__class_Obot(tc_fun(_u7889, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u7887, _u7889, _u7891, _u7893) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7887, _u7889), tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7894) | ~c_Nat__Transfer_Ois__nat(_u7895) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7894, _u7895) = 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, _u7894), hAPP(c_Int_Onat, _u7895)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7896) | ~c_Nat__Transfer_Ois__nat(_u7897) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7896), _u7897)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7898)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7899) | ~c_Nat__Transfer_Ois__nat(_u7900) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7899), _u7900)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7901) | ~c_Nat__Transfer_Ois__nat(_u7902) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7901, _u7902)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7904) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7904)) )).
% 12.28/12.46 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)), _u7905)) | c_Nat__Transfer_Ois__nat(_u7905) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7906) | ~c_Nat__Transfer_Onat__set(_u7907) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7906), _u7907) = 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), _u7906)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7907)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7908) | ~c_Nat__Transfer_Onat__set(_u7909) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7908), _u7909) = 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), _u7908)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7909)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Int_Oint), _u7913), _u7912) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u7911), c_Int_Onat), _u7913)), _u7912))) | hBOOL(hAPP(hAPP(c_member(_u7911), skolem197(_u7913, _u7912, _u7911)), _u7912)) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Int_Oint), _u7913), _u7912) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u7911), c_Int_Onat), _u7913)), _u7912))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u7913, skolem197(_u7913, _u7912, _u7911))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7914) | ~class_Groups_Ocomm__monoid__mult(_u7914) | ~c_Nat__Transfer_Onat__set(_u7915) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7914), _u7916), _u7915) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7914), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7914, tc_Nat_Onat), _u7916), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7915))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7917) | ~c_Nat__Transfer_Onat__set(_u7918) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7917), _u7918)) | 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), _u7917)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7918))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7917) | ~c_Nat__Transfer_Onat__set(_u7918) | ~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), _u7917)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7917), _u7918)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J-1, axiom, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7919) | ~c_Nat__Transfer_Onat__set(_u7920) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7919), _u7920)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7921) | ~c_Nat__Transfer_Onat__set(_u7922) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7921), _u7922)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7926) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7923), _u7926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7923)) )).
% 12.28/12.46 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u7927) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem198(_u7927)), _u7927)) )).
% 12.28/12.46 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u7927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem198(_u7927))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7928)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7929) | ~c_Nat__Transfer_Onat__set(_u7930) | ( _u7929 != _u7930) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7929) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7930)) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7929) | ~c_Nat__Transfer_Onat__set(_u7930) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7929) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7930)) | ( _u7929 = _u7930) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7931) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7931, _u7932)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7933) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7934), _u7933)) | c_Nat__Transfer_Ois__nat(_u7934) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7935)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7935, _u7936)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7937) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7938), _u7937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7938)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7939) | ( 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), _u7939)) = _u7939) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7940)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7940))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7940))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7940)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7941) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u7941) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7941))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7942) | ~c_Nat__Transfer_Onat__set(_u7943) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7942), _u7943)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7942)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7943))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7942) | ~c_Nat__Transfer_Onat__set(_u7943) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7942)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7943))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7942), _u7943)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u7944) | ~c_Nat__Transfer_Onat__set(_u7945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7944), _u7945)) | 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), _u7944)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7945))) )).
% 12.28/12.46 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u7944) | ~c_Nat__Transfer_Onat__set(_u7945) | ~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), _u7944)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7945))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7944), _u7945)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u7946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7947), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7946), _u7947) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7946), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7946), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7947))))) )).
% 12.28/12.46 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u7946) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7947), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7946), _u7947) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7946), hAPP(c_Int_Onat, _u7947))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7949) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7950), _u7951)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7950, _u7949), _u7952), _u7951) != _u7953) | ~hBOOL(hAPP(hAPP(c_member(_u7950), _u7954), _u7951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7949), hAPP(_u7952, _u7954)), _u7953)) | hBOOL(hAPP(hAPP(c_member(_u7950), skolem199(_u7954, _u7953, _u7952, _u7951, _u7950, _u7949)), _u7951)) )).
% 12.28/12.46 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7949) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7950), _u7951)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7950, _u7949), _u7952), _u7951) != _u7953) | ~hBOOL(hAPP(hAPP(c_member(_u7950), _u7954), _u7951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7949), hAPP(_u7952, _u7954)), _u7953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7949), c_Groups_Ozero__class_Ozero(_u7949)), hAPP(_u7952, skolem199(_u7954, _u7953, _u7952, _u7951, _u7950, _u7949)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7956, skolem200(_u7958, _u7957, _u7956))), hAPP(_u7957, skolem200(_u7958, _u7957, _u7956)))) | ( 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), _u7957), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7956), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))) = 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)), _u7957)), _u7956)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u7961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7963)) | ~hBOOL(hAPP(_u7962, _u7960)) | hBOOL(hAPP(_u7962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7963), _u7961)))) | hBOOL(hAPP(_u7962, skolem201(_u7963, _u7962, _u7961))) )).
% 12.28/12.46 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)), _u7961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7963)) | ~hBOOL(hAPP(_u7962, _u7960)) | hBOOL(hAPP(_u7962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7963), _u7961)))) | ~hBOOL(hAPP(_u7962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u7963, _u7962, _u7961)), _u7961))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_negD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7965), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7965 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem202(_u7965))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7966) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7967) != hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7968)) | ( _u7967 = _u7968) )).
% 12.28/12.46 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7966) | ( _u7967 != _u7968) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7967) = hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7968)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 12.28/12.46 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), _u7969)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7969)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u7970) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7970), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u7970)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7971) | ( c_Groups_Ozero__class_Ozero(_u7971) != hAPP(c_Int_Oring__1__class_Oof__int(_u7971), _u7972)) | ( _u7972 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7971) | ( _u7972 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u7971) = hAPP(c_Int_Oring__1__class_Oof__int(_u7971), _u7972)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u7973) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7973), _u7974) != c_Groups_Ozero__class_Ozero(_u7973)) | ( _u7974 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u7973) | ( _u7974 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7973), _u7974) = c_Groups_Ozero__class_Ozero(_u7973)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7975), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7976)), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7977))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7976), _u7977)) )).
% 12.28/12.46 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7976), _u7977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7975), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7976)), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7977))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u7978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7978), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7979)), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7979), _u7980)) )).
% 12.28/12.46 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u7978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7979), _u7980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7978), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7979)), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7980))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u7981) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7981), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7982), _u7983)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7981), hAPP(c_Int_Oring__1__class_Oof__int(_u7981), _u7982)), hAPP(c_Int_Oring__1__class_Oof__int(_u7981), _u7983))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u7984) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7985), _u7986)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7984), hAPP(c_Int_Oring__1__class_Oof__int(_u7984), _u7985)), hAPP(c_Int_Oring__1__class_Oof__int(_u7984), _u7986))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u7987) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7987), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u7987)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u7988) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7989), _u7990)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7988), hAPP(c_Int_Oring__1__class_Oof__int(_u7988), _u7989)), hAPP(c_Int_Oring__1__class_Oof__int(_u7988), _u7990))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u7991) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7991), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7992)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7991), _u7992)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u7993) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7993), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7994)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7993), hAPP(c_Int_Oring__1__class_Oof__int(_u7993), _u7994))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u7995) | hBOOL(hAPP(hAPP(c_member(_u7995), hAPP(c_Int_Oring__1__class_Oof__int(_u7995), _u7996)), c_Int_Oring__1__class_OInts(_u7995))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u7997) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7997), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7998, tc_Int_Oint), _u7999), _u8000)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7998, _u7997), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7997, _u7998), c_Int_Oring__1__class_Oof__int(_u7997)), _u7999)), _u8000)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8001), c_Groups_Ozero__class_Ozero(_u8001)), hAPP(c_Int_Oring__1__class_Oof__int(_u8001), _u8002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8002)) )).
% 12.28/12.46 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8001), c_Groups_Ozero__class_Ozero(_u8001)), hAPP(c_Int_Oring__1__class_Oof__int(_u8001), _u8002))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8003), hAPP(c_Int_Oring__1__class_Oof__int(_u8003), _u8004)), c_Groups_Ozero__class_Ozero(_u8003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8004), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8004), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8003), hAPP(c_Int_Oring__1__class_Oof__int(_u8003), _u8004)), c_Groups_Ozero__class_Ozero(_u8003))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8005), c_Groups_Ozero__class_Ozero(_u8005)), hAPP(c_Int_Oring__1__class_Oof__int(_u8005), _u8006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8006)) )).
% 12.28/12.46 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8005), c_Groups_Ozero__class_Ozero(_u8005)), hAPP(c_Int_Oring__1__class_Oof__int(_u8005), _u8006))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8007), hAPP(c_Int_Oring__1__class_Oof__int(_u8007), _u8008)), c_Groups_Ozero__class_Ozero(_u8007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8007), hAPP(c_Int_Oring__1__class_Oof__int(_u8007), _u8008)), c_Groups_Ozero__class_Ozero(_u8007))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u8009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8010)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8009), hAPP(c_Int_Onat, _u8010)) = hAPP(c_Int_Oring__1__class_Oof__int(_u8009), _u8010)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8015)) | ~hBOOL(hAPP(_u8014, _u8012)) | hBOOL(hAPP(_u8014, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8015), _u8013)))) | hBOOL(hAPP(_u8014, skolem203(_u8015, _u8014, _u8013))) )).
% 12.28/12.46 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)), _u8013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8015)) | ~hBOOL(hAPP(_u8014, _u8012)) | hBOOL(hAPP(_u8014, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8015), _u8013)))) | ~hBOOL(hAPP(_u8014, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem203(_u8015, _u8014, _u8013)), _u8013))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u8018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8018, _u8019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem204(_u8019, _u8018)), _u8019)) )).
% 12.28/12.46 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u8018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8018, _u8019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8016), skolem204(_u8019, _u8018))) | ~hBOOL(hAPP(_u8018, _u8016)) )).
% 12.28/12.46 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u8018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8018, _u8019)) | hBOOL(hAPP(_u8018, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem204(_u8019, _u8018)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem205(_u8021))) )).
% 12.28/12.46 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)), _u8021)) | ( _u8021 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem205(_u8021))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8024), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8024, tc_HOL_Obool)), _u8026), _u8025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8025)) | hBOOL(hAPP(hAPP(c_member(_u8024), skolem206(_u8027, _u8026, _u8025, _u8024, _u8023)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8024, tc_HOL_Obool)), _u8025), _u8026))) )).
% 12.28/12.46 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8024), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8024, tc_HOL_Obool)), _u8026), _u8025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8025)) | ( hAPP(_u8027, skolem206(_u8027, _u8026, _u8025, _u8024, _u8023)) != c_Groups_Ozero__class_Ozero(_u8023)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8030), _u8031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8030, tc_HOL_Obool)), _u8032), _u8031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8031) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8032)) | hBOOL(hAPP(hAPP(c_member(_u8030), skolem207(_u8033, _u8032, _u8031, _u8030, _u8029)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8030, tc_HOL_Obool)), _u8031), _u8032))) )).
% 12.28/12.46 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8030), _u8031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8030, tc_HOL_Obool)), _u8032), _u8031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8031) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8032)) | ( hAPP(_u8033, skolem207(_u8033, _u8032, _u8031, _u8030, _u8029)) != c_Groups_Ozero__class_Ozero(_u8029)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u8034) | ( _u8035 != c_Groups_Ozero__class_Ozero(_u8034)) | ( c_Groups_Osgn__class_Osgn(_u8034, _u8035) = c_Groups_Ozero__class_Ozero(_u8034)) )).
% 12.28/12.46 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u8034) | ( _u8035 = c_Groups_Ozero__class_Ozero(_u8034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8034), c_Groups_Ozero__class_Ozero(_u8034)), _u8035)) | ( c_Groups_Osgn__class_Osgn(_u8034, _u8035) = c_Groups_Oone__class_Oone(_u8034)) )).
% 12.28/12.46 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u8034) | ( _u8035 = c_Groups_Ozero__class_Ozero(_u8034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8034), c_Groups_Ozero__class_Ozero(_u8034)), _u8035)) | ( c_Groups_Osgn__class_Osgn(_u8034, _u8035) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8034), c_Groups_Oone__class_Oone(_u8034))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u8036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8036), _u8037), c_Groups_Ozero__class_Ozero(_u8036))) | ( c_Groups_Osgn__class_Osgn(_u8036, _u8037) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8036), c_Groups_Oone__class_Oone(_u8036))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u8038) | ( c_Groups_Osgn__class_Osgn(_u8038, _u8039) != hAPP(c_Groups_Ouminus__class_Ouminus(_u8038), c_Groups_Oone__class_Oone(_u8038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8038), _u8039), c_Groups_Ozero__class_Ozero(_u8038))) )).
% 12.28/12.46 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u8038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8038), _u8039), c_Groups_Ozero__class_Ozero(_u8038))) | ( c_Groups_Osgn__class_Osgn(_u8038, _u8039) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8038), c_Groups_Oone__class_Oone(_u8038))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8041), 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), _u8041), _u8042))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8040))), _u8042)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8044), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8045), 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), _u8045), _u8044))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8043)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8046) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8046), hAPP(c_Groups_Oabs__class_Oabs(_u8046), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8047, _u8046), _u8048), _u8049))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8047, _u8046), hAPP(hAPP(c_COMBB(_u8046, _u8046, _u8047), c_Groups_Oabs__class_Oabs(_u8046)), _u8048)), _u8049))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), c_Groups_Ozero__class_Ozero(_u8050)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8051, _u8050), hAPP(hAPP(c_COMBB(_u8050, _u8050, _u8051), c_Groups_Oabs__class_Oabs(_u8050)), _u8052)), _u8053))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8054) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8054), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8055)), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8056))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8054), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8055)), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8056))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u8057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8057), hAPP(c_Groups_Oabs__class_Oabs(_u8057), _u8058)), hAPP(c_Groups_Oabs__class_Oabs(_u8057), _u8058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8057), _u8058), _u8058)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u8059) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8059), _u8060), _u8061)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8059), hAPP(c_Groups_Oabs__class_Oabs(_u8059), _u8060)), hAPP(c_Groups_Oabs__class_Oabs(_u8059), _u8061))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8062) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8062), _u8063), _u8064)) = hAPP(c_Groups_Oabs__class_Oabs(_u8062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8062), _u8064), _u8063))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u8065) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8065), c_Groups_Oone__class_Oone(_u8065)) = c_Groups_Oone__class_Oone(_u8065)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8066) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8066), hAPP(c_Groups_Ouminus__class_Ouminus(_u8066), _u8067)) = hAPP(c_Groups_Oabs__class_Oabs(_u8066), _u8067)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u8068) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8068), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8068), _u8069)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8068), _u8069)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8070), hAPP(c_Groups_Oabs__class_Oabs(_u8070), _u8071)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8070), _u8071), _u8072)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(c_Groups_Oabs__class_Oabs(_u8073), _u8074))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u8075) | ( c_Groups_Osgn__class_Osgn(_u8075, c_Groups_Osgn__class_Osgn(_u8075, _u8076)) = c_Groups_Osgn__class_Osgn(_u8075, _u8076)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8077) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8077), hAPP(c_Groups_Oabs__class_Oabs(_u8077), _u8078)) = hAPP(c_Groups_Oabs__class_Oabs(_u8077), _u8078)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u8079) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8079), c_Groups_Osgn__class_Osgn(_u8079, _u8080)), hAPP(c_Groups_Oabs__class_Oabs(_u8079), _u8080)) = _u8080) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u8081) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8081), _u8082) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8081), _u8082), c_Groups_Osgn__class_Osgn(_u8081, _u8082))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8083) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8083), _u8084) != c_Groups_Ozero__class_Ozero(_u8083)) | ( _u8084 = c_Groups_Ozero__class_Ozero(_u8083)) )).
% 12.28/12.46 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8083) | ( _u8084 != c_Groups_Ozero__class_Ozero(_u8083)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8083), _u8084) = c_Groups_Ozero__class_Ozero(_u8083)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8085) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8085), c_Groups_Ozero__class_Ozero(_u8085)) = c_Groups_Ozero__class_Ozero(_u8085)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 12.28/12.46 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), _u8086)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8086)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8087) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8088, _u8087), hAPP(hAPP(c_COMBB(_u8087, _u8087, _u8088), c_Groups_Oabs__class_Oabs(_u8087)), _u8089)), _u8090)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8088, _u8087), hAPP(hAPP(c_COMBB(_u8087, _u8087, _u8088), c_Groups_Oabs__class_Oabs(_u8087)), _u8089)), _u8090)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u8091) | ( c_Groups_Osgn__class_Osgn(_u8091, _u8092) != c_Groups_Ozero__class_Ozero(_u8091)) | ( _u8092 = c_Groups_Ozero__class_Ozero(_u8091)) )).
% 12.28/12.46 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u8091) | ( _u8092 != c_Groups_Ozero__class_Ozero(_u8091)) | ( c_Groups_Osgn__class_Osgn(_u8091, _u8092) = c_Groups_Ozero__class_Ozero(_u8091)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u8093) | ( c_Groups_Osgn__class_Osgn(_u8093, c_Groups_Ozero__class_Ozero(_u8093)) = c_Groups_Ozero__class_Ozero(_u8093)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u8094) | ( c_Groups_Osgn__class_Osgn(_u8094, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8096)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), c_Groups_Osgn__class_Osgn(_u8094, _u8095)), c_Groups_Osgn__class_Osgn(_u8094, _u8096))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8097), c_Groups_Ozero__class_Ozero(_u8097)), _u8098)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8097), _u8098) = _u8098) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), hAPP(c_Groups_Oabs__class_Oabs(_u8099), _u8100)), c_Groups_Ozero__class_Ozero(_u8099))) | ( _u8100 = c_Groups_Ozero__class_Ozero(_u8099)) )).
% 12.28/12.46 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8099) | ( _u8100 != c_Groups_Ozero__class_Ozero(_u8099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), hAPP(c_Groups_Oabs__class_Oabs(_u8099), _u8100)), c_Groups_Ozero__class_Ozero(_u8099))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8101) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8101), c_Groups_Ozero__class_Ozero(_u8101)), hAPP(c_Groups_Oabs__class_Oabs(_u8101), _u8102))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8103), _u8104) = _u8104) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8105), c_Groups_Ozero__class_Ozero(_u8105)), hAPP(c_Groups_Oabs__class_Oabs(_u8105), _u8106))) | ( _u8106 != c_Groups_Ozero__class_Ozero(_u8105)) )).
% 12.28/12.46 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8105) | ( _u8106 = c_Groups_Ozero__class_Ozero(_u8105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8105), c_Groups_Ozero__class_Ozero(_u8105)), hAPP(c_Groups_Oabs__class_Oabs(_u8105), _u8106))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8107), hAPP(c_Groups_Oabs__class_Oabs(_u8107), _u8108)), c_Groups_Ozero__class_Ozero(_u8107))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8109) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8109), hAPP(c_Groups_Oabs__class_Oabs(_u8109), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8109), _u8110), _u8111))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8109), hAPP(c_Groups_Oabs__class_Oabs(_u8109), _u8110)), hAPP(c_Groups_Oabs__class_Oabs(_u8109), _u8111)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u8112) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8112), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8113)), _u8114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8112), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8115)), _u8116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8112), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8113)), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8115))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8112), _u8114), _u8116))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__triangle__ineq3-1, 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), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8119)))), hAPP(c_Groups_Oabs__class_Oabs(_u8117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8117), _u8118), _u8119)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8120) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8120), hAPP(c_Groups_Oabs__class_Oabs(_u8120), _u8121)), hAPP(c_Groups_Oabs__class_Oabs(_u8120), _u8122))), hAPP(c_Groups_Oabs__class_Oabs(_u8120), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8120), _u8121), _u8122)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8123) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8123), hAPP(c_Groups_Oabs__class_Oabs(_u8123), _u8124)), hAPP(c_Groups_Oabs__class_Oabs(_u8123), _u8125))), hAPP(c_Groups_Oabs__class_Oabs(_u8123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8123), _u8125), _u8124)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8126), hAPP(c_Groups_Ouminus__class_Ouminus(_u8126), _u8127)), _u8128)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), _u8130), _u8131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), hAPP(c_Groups_Ouminus__class_Ouminus(_u8129), _u8130)), _u8131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), hAPP(c_Groups_Oabs__class_Oabs(_u8129), _u8130)), _u8131)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Oabs__class_Oabs(_u8132), _u8133)), _u8134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), _u8133), _u8134)) )).
% 12.28/12.46 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Oabs__class_Oabs(_u8132), _u8133)), _u8134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Ouminus__class_Ouminus(_u8132), _u8133)), _u8134)) )).
% 12.28/12.46 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), _u8133), _u8134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Ouminus__class_Ouminus(_u8132), _u8133)), _u8134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Oabs__class_Oabs(_u8132), _u8133)), _u8134)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8135), hAPP(c_Groups_Ouminus__class_Ouminus(_u8135), _u8136)), hAPP(c_Groups_Oabs__class_Oabs(_u8135), _u8136))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Oabs__class_Oabs(_u8137), _u8138)), _u8139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), _u8138), _u8139)) )).
% 12.28/12.46 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Oabs__class_Oabs(_u8137), _u8138)), _u8139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(_u8137), _u8138)), _u8139)) )).
% 12.28/12.46 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), _u8138), _u8139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(_u8137), _u8138)), _u8139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Oabs__class_Oabs(_u8137), _u8138)), _u8139)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 12.28/12.46 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), _u8140), _u8141)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8140) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u8142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), c_Groups_Ozero__class_Ozero(_u8142)), _u8143)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8142), hAPP(c_Groups_Oabs__class_Oabs(_u8142), _u8144)), _u8143) = hAPP(c_Groups_Oabs__class_Oabs(_u8142), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8142), _u8144), _u8143))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8147)) )).
% 12.28/12.46 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8147), c_Groups_Ozero__class_Ozero(_u8145))) )).
% 12.28/12.46 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8146), c_Groups_Ozero__class_Ozero(_u8145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8147)) )).
% 12.28/12.46 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8146), c_Groups_Ozero__class_Ozero(_u8145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8147), c_Groups_Ozero__class_Ozero(_u8145))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8148) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8148), hAPP(c_Groups_Oabs__class_Oabs(_u8148), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8148), _u8149), _u8150))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8148), hAPP(c_Groups_Oabs__class_Oabs(_u8148), _u8149)), hAPP(c_Groups_Oabs__class_Oabs(_u8148), _u8150)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8151), hAPP(c_Groups_Oabs__class_Oabs(_u8151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8151), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8151), _u8152), _u8153)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8151), _u8154), _u8155)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8151), hAPP(c_Groups_Oabs__class_Oabs(_u8151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8151), _u8152), _u8154))), hAPP(c_Groups_Oabs__class_Oabs(_u8151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8151), _u8153), _u8155))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8156), _u8157), c_Groups_Ozero__class_Ozero(_u8156))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8156), _u8157) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), _u8157)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8158) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8158), hAPP(c_Groups_Ouminus__class_Ouminus(_u8158), hAPP(c_Groups_Oabs__class_Oabs(_u8158), _u8159))), c_Groups_Ozero__class_Ozero(_u8158))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8160), _u8161), c_Groups_Ozero__class_Ozero(_u8160))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8160), _u8161) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8160), _u8161)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u8162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8162), _u8163), c_Groups_Ozero__class_Ozero(_u8162))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8162), _u8163) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8162), _u8163)) )).
% 12.28/12.46 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u8162) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8162), _u8163), c_Groups_Ozero__class_Ozero(_u8162))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8162), _u8163) = _u8163) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 12.28/12.46 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), _u8165)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u8165 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u8166 != 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), _u8166)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8168), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8168) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8168)) )).
% 12.28/12.46 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8169), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8169) = _u8169) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.46 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), _u8170), _u8171))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8170))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8171)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u8172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), c_Groups_Osgn__class_Osgn(_u8172, _u8173)), c_Groups_Ozero__class_Ozero(_u8172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), _u8173), c_Groups_Ozero__class_Ozero(_u8172))) )).
% 12.28/12.46 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u8172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), _u8173), c_Groups_Ozero__class_Ozero(_u8172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), c_Groups_Osgn__class_Osgn(_u8172, _u8173)), c_Groups_Ozero__class_Ozero(_u8172))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u8174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), c_Groups_Osgn__class_Osgn(_u8174, _u8175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), _u8175)) )).
% 12.28/12.46 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u8174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), _u8175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), c_Groups_Osgn__class_Osgn(_u8174, _u8175))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u8176) | ( c_Groups_Osgn__class_Osgn(_u8176, _u8177) != c_Groups_Oone__class_Oone(_u8176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8176), c_Groups_Ozero__class_Ozero(_u8176)), _u8177)) )).
% 12.28/12.46 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u8176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8176), c_Groups_Ozero__class_Ozero(_u8176)), _u8177)) | ( c_Groups_Osgn__class_Osgn(_u8176, _u8177) = c_Groups_Oone__class_Oone(_u8176)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u8178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8178), c_Groups_Ozero__class_Ozero(_u8178)), _u8179)) | ( c_Groups_Osgn__class_Osgn(_u8178, _u8179) = c_Groups_Oone__class_Oone(_u8178)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_zsgn__def-1, axiom, ( ( _u8181 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8181) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.46 cnf(fact_zsgn__def-2, axiom, ( ( _u8182 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8182)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8182) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.46 cnf(fact_zsgn__def-3, axiom, ( ( _u8182 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8182)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8182) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u8183, _u8184) = 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), _u8183)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8184))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8186) | ~class_Groups_Ocomm__monoid__mult(_u8186) | ( _u8187 != _u8188) | ~c_Nat__Transfer_Onat__set(_u8188) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8189), _u8187) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8190), _u8188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem208(_u8190, _u8189, _u8188, _u8187, _u8186))) )).
% 12.28/12.46 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8186) | ~class_Groups_Ocomm__monoid__mult(_u8186) | ( _u8187 != _u8188) | ~c_Nat__Transfer_Onat__set(_u8188) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8189), _u8187) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8190), _u8188)) | ( hAPP(_u8189, skolem208(_u8190, _u8189, _u8188, _u8187, _u8186)) != hAPP(_u8190, skolem208(_u8190, _u8189, _u8188, _u8187, _u8186))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8191), hAPP(c_Nat_OSuc, _u8192)) = 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), _u8191), _u8192))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem210(_u8197, _u8196, _u8195)), _u8195)) )).
% 12.28/12.46 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | ( hAPP(_u8196, skolem210(_u8197, _u8196, _u8195)) = _u8197) )).
% 12.28/12.46 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(_u8196, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8196, skolem209(_u8197, _u8196, _u8195))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem210(_u8197, _u8196, _u8195)), _u8195)) )).
% 12.28/12.46 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(_u8196, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8196, skolem209(_u8197, _u8196, _u8195))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | ( hAPP(_u8196, skolem210(_u8197, _u8196, _u8195)) = _u8197) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), _u8200)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem212(_u8202, _u8201, _u8200)), _u8200)) )).
% 12.28/12.46 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), _u8200)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | ( hAPP(_u8201, skolem212(_u8202, _u8201, _u8200)) = _u8202) )).
% 12.28/12.46 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(_u8201, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8201, skolem211(_u8202, _u8201, _u8200))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem212(_u8202, _u8201, _u8200)), _u8200)) )).
% 12.28/12.46 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(_u8201, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8201, skolem211(_u8202, _u8201, _u8200))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | ( hAPP(_u8201, skolem212(_u8202, _u8201, _u8200)) = _u8202) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8203, _u8204, _u8205, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8204) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u8206, _u8207, _u8208, hAPP(c_Nat_OSuc, _u8209)) = hAPP(_u8208, _u8209)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8210)) | ( 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)), _u8210))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u8211))))) = 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)), _u8210))), 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, _u8211)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__less ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8212)) | ( 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)), _u8212))), 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, _u8213))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8214)) | ( 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)), _u8214))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u8215)))) = 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)), _u8214))), 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, _u8215)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_ex__bij__betw__nat__finite__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_ex__bij__betw__nat__finite__1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8217), _u8218)) | c_Fun_Obij__betw(tc_Nat_Onat, _u8217, skolem213(_u8218, _u8217), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8217), _u8218)), _u8218) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8221), _u8220) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem214(_u8221, _u8220)), _u8220)) )).
% 12.28/12.46 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)), _u8221), _u8220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8221), skolem214(_u8221, _u8220))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u8222, _u8223)) | hBOOL(hAPP(hAPP(c_member(_u8224), _u8223), hAPP(c_Set_OCollect(_u8224), _u8222))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), hAPP(hAPP(c_COMBS(_u8225, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8225), c_fconj), _u8226)), _u8227)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), _u8226))) )).
% 12.28/12.46 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), hAPP(hAPP(c_COMBS(_u8225, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8225), c_fconj), _u8226)), _u8227)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), _u8227))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8228)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 12.28/12.46 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)), _u8229)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u8230), _u8231) = _u8231) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u8238, _u8232)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8236, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u8236), _u8238)) )).
% 12.28/12.46 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u8239, skolem215(_u8239))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8237, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u8237), _u8239)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u8246, _u8240)) | ( hAPP(c_Set_OCollect(_u8244), _u8246) != c_Orderings_Obot__class_Obot(tc_fun(_u8244, tc_HOL_Obool))) )).
% 12.28/12.46 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u8247, skolem216(_u8247))) | ( hAPP(c_Set_OCollect(_u8245), _u8247) = c_Orderings_Obot__class_Obot(tc_fun(_u8245, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8248), hAPP(hAPP(c_COMBC(_u8248, tc_fun(_u8248, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8248)), _u8249)) = _u8249) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u8257, _u8255)) | ~hBOOL(hAPP(hAPP(c_member(_u8253), _u8255), hAPP(c_Set_OCollect(_u8253), _u8257))) )).
% 12.28/12.46 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u8258, _u8256)) | hBOOL(hAPP(hAPP(c_member(_u8254), _u8256), hAPP(c_Set_OCollect(_u8254), _u8258))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u8261, _u8260)) | ~hBOOL(hAPP(hAPP(c_member(_u8259), _u8260), hAPP(c_Set_OCollect(_u8259), _u8261))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u8264, _u8263)) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8263), hAPP(c_Set_OCollect(_u8262), _u8264))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8265, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u8265), hAPP(c_COMBK(tc_HOL_Obool, _u8265), c_fFalse))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), hAPP(hAPP(c_COMBS(_u8269, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8269), c_fdisj), _u8271)), _u8273)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), _u8271))) )).
% 12.28/12.46 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), hAPP(hAPP(c_COMBS(_u8269, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8269), c_fdisj), _u8271)), _u8273)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), _u8273))) )).
% 12.28/12.46 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8270), hAPP(c_Set_OCollect(_u8270), _u8272))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8270), hAPP(c_Set_OCollect(_u8270), _u8274))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8270), hAPP(c_Set_OCollect(_u8270), hAPP(hAPP(c_COMBS(_u8270, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8270), c_fdisj), _u8272)), _u8274)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8275), _u8276), hAPP(c_Set_OCollect(_u8275), _u8277)) = hAPP(c_Set_OCollect(_u8275), hAPP(hAPP(c_COMBS(_u8275, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8275), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8275), c_fNot), hAPP(hAPP(c_COMBC(_u8275, _u8275, tc_HOL_Obool), c_fequal), _u8276)))), _u8277))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8278, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u8278), hAPP(c_COMBK(tc_HOL_Obool, _u8278), c_fTrue))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8279), hAPP(hAPP(c_COMBS(_u8279, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8279), c_fdisj), _u8280)), _u8281)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8279, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8279), _u8280)), hAPP(c_Set_OCollect(_u8279), _u8281))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8282), hAPP(hAPP(c_COMBS(_u8282, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8282), c_fconj), _u8283)), _u8284)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8282, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8282), _u8283)), hAPP(c_Set_OCollect(_u8282), _u8284))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8285), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8285), c_fNot), _u8286)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8285, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8285), _u8286))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u8287, _u8288, _u8289), hAPP(c_Set_OCollect(_u8288), _u8290)) = hAPP(c_Set_OCollect(_u8287), hAPP(hAPP(c_COMBB(_u8288, tc_HOL_Obool, _u8287), _u8290), _u8289))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8291), _u8292), _u8293) = hAPP(c_Set_OCollect(_u8291), hAPP(hAPP(c_COMBS(_u8291, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8291), c_fdisj), hAPP(hAPP(c_COMBC(_u8291, _u8291, tc_HOL_Obool), c_fequal), _u8292))), hAPP(hAPP(c_COMBC(_u8291, tc_fun(_u8291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8291)), _u8293)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8294), _u8295), _u8296) = hAPP(c_Set_OCollect(_u8294), hAPP(hAPP(c_COMBS(_u8294, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8294), c_fdisj), hAPP(hAPP(c_COMBC(_u8294, _u8294, tc_HOL_Obool), c_fequal), _u8295))), hAPP(hAPP(c_COMBC(_u8294, tc_fun(_u8294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8294)), _u8296)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8297, tc_HOL_Obool)), _u8298), _u8299) = hAPP(c_Set_OCollect(_u8297), hAPP(hAPP(c_COMBS(_u8297, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8297), c_fdisj), hAPP(hAPP(c_COMBC(_u8297, tc_fun(_u8297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8297)), _u8298))), hAPP(hAPP(c_COMBC(_u8297, tc_fun(_u8297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8297)), _u8299)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8300, tc_HOL_Obool)), _u8301), _u8302) = hAPP(c_Set_OCollect(_u8300), hAPP(hAPP(c_COMBS(_u8300, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8300), c_fconj), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8301))), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8302)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8307), _u8309), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8307, tc_HOL_Obool)), _u8311), hAPP(c_Set_OCollect(_u8307), _u8313)))) | hBOOL(hAPP(hAPP(c_member(_u8307), _u8309), _u8311)) )).
% 12.28/12.46 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8307), _u8309), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8307, tc_HOL_Obool)), _u8311), hAPP(c_Set_OCollect(_u8307), _u8313)))) | hBOOL(hAPP(_u8313, _u8309)) )).
% 12.28/12.46 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8308), _u8310), _u8312)) | ~hBOOL(hAPP(_u8314, _u8310)) | hBOOL(hAPP(hAPP(c_member(_u8308), _u8310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8308, tc_HOL_Obool)), _u8312), hAPP(c_Set_OCollect(_u8308), _u8314)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u8315), hAPP(c_fequal, _u8316)) = hAPP(hAPP(c_Set_Oinsert(_u8315), _u8316), c_Orderings_Obot__class_Obot(tc_fun(_u8315, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u8317), hAPP(hAPP(c_COMBC(_u8317, _u8317, tc_HOL_Obool), c_fequal), _u8318)) = hAPP(hAPP(c_Set_Oinsert(_u8317), _u8318), c_Orderings_Obot__class_Obot(tc_fun(_u8317, tc_HOL_Obool)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u8322, _u8324)) | ( hAPP(c_Set_OCollect(_u8326), hAPP(hAPP(c_COMBS(_u8326, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8326), c_fconj), hAPP(c_fequal, _u8324))), _u8322)) = hAPP(hAPP(c_Set_Oinsert(_u8326), _u8324), c_Orderings_Obot__class_Obot(tc_fun(_u8326, tc_HOL_Obool)))) )).
% 12.28/12.46 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u8323, _u8325)) | ( hAPP(c_Set_OCollect(_u8327), hAPP(hAPP(c_COMBS(_u8327, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8327), c_fconj), hAPP(c_fequal, _u8325))), _u8323)) = c_Orderings_Obot__class_Obot(tc_fun(_u8327, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u8331, _u8333)) | ( hAPP(c_Set_OCollect(_u8335), hAPP(hAPP(c_COMBS(_u8335, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8335), c_fconj), hAPP(hAPP(c_COMBC(_u8335, _u8335, tc_HOL_Obool), c_fequal), _u8333))), _u8331)) = hAPP(hAPP(c_Set_Oinsert(_u8335), _u8333), c_Orderings_Obot__class_Obot(tc_fun(_u8335, tc_HOL_Obool)))) )).
% 12.28/12.46 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u8332, _u8334)) | ( hAPP(c_Set_OCollect(_u8336), hAPP(hAPP(c_COMBS(_u8336, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8336), c_fconj), hAPP(hAPP(c_COMBC(_u8336, _u8336, tc_HOL_Obool), c_fequal), _u8334))), _u8332)) = c_Orderings_Obot__class_Obot(tc_fun(_u8336, tc_HOL_Obool))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8337, tc_HOL_Obool)), _u8338), _u8339) = hAPP(c_Set_OCollect(_u8337), hAPP(hAPP(c_COMBS(_u8337, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8337), c_fconj), hAPP(hAPP(c_COMBC(_u8337, tc_fun(_u8337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8337)), _u8338))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8337), c_fNot), hAPP(hAPP(c_COMBC(_u8337, tc_fun(_u8337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8337)), _u8339))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), _u8341))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8340), c_fNot), _u8341)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), c_Orderings_Otop__class_Otop(tc_fun(_u8340, tc_HOL_Obool)))) )).
% 12.28/12.46 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), _u8341))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), c_Orderings_Otop__class_Otop(tc_fun(_u8340, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8340), c_fNot), _u8341)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8342), _u8343), _u8344) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8342, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8342), hAPP(hAPP(c_COMBC(_u8342, _u8342, tc_HOL_Obool), c_fequal), _u8343))), _u8344)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8345, tc_HOL_Obool)), _u8346) = hAPP(c_Set_OCollect(_u8345), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8345), c_fNot), hAPP(hAPP(c_COMBC(_u8345, tc_fun(_u8345, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8345)), _u8346)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u8347, _u8348, _u8349), _u8350) = hAPP(c_Set_OCollect(_u8347), hAPP(hAPP(c_COMBC(_u8347, tc_fun(_u8348, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8348, tc_fun(tc_fun(_u8348, tc_HOL_Obool), tc_HOL_Obool), _u8347), c_member(_u8348)), _u8349)), _u8350))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8351), hAPP(hAPP(c_COMBS(_u8351, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8351), c_fimplies), _u8352)), _u8353)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8351, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8351, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8351), _u8352))), hAPP(c_Set_OCollect(_u8351), _u8353))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 12.28/12.46 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), _u8354)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u8355))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8356) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8357), _u8358)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8359), _u8360)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8357, _u8356), hAPP(hAPP(c_COMBS(_u8357, tc_fun(_u8359, tc_HOL_Obool), _u8356), hAPP(hAPP(c_COMBB(tc_fun(_u8359, _u8356), tc_fun(tc_fun(_u8359, tc_HOL_Obool), _u8356), _u8357), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8359, _u8356)), _u8361)), hAPP(hAPP(c_COMBB(tc_fun(_u8359, tc_HOL_Obool), tc_fun(_u8359, tc_HOL_Obool), _u8357), c_Set_OCollect(_u8359)), hAPP(hAPP(c_COMBB(tc_fun(_u8359, tc_HOL_Obool), tc_fun(_u8359, tc_HOL_Obool), _u8357), hAPP(c_COMBS(_u8359, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8359), c_fconj), hAPP(hAPP(c_COMBC(_u8359, tc_fun(_u8359, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8359)), _u8360)))), _u8362)))), _u8358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8359, _u8356), hAPP(hAPP(c_COMBS(_u8359, tc_fun(_u8357, tc_HOL_Obool), _u8356), hAPP(hAPP(c_COMBB(tc_fun(_u8357, _u8356), tc_fun(tc_fun(_u8357, tc_HOL_Obool), _u8356), _u8359), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8357, _u8356)), hAPP(c_COMBC(_u8357, _u8359, _u8356), _u8361))), hAPP(hAPP(c_COMBB(tc_fun(_u8357, tc_HOL_Obool), tc_fun(_u8357, tc_HOL_Obool), _u8359), c_Set_OCollect(_u8357)), hAPP(hAPP(c_COMBB(tc_fun(_u8357, tc_HOL_Obool), tc_fun(_u8357, tc_HOL_Obool), _u8359), hAPP(c_COMBS(_u8357, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8357), c_fconj), hAPP(hAPP(c_COMBC(_u8357, tc_fun(_u8357, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8357)), _u8358)))), hAPP(c_COMBC(_u8357, _u8359, tc_HOL_Obool), _u8362))))), _u8360)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u8363, _u8364, hAPP(hAPP(c_COMBS(_u8363, _u8364, _u8364), hAPP(hAPP(c_COMBS(_u8363, _u8364, tc_fun(_u8364, _u8364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8364, tc_fun(_u8364, _u8364)), _u8363), c_If(_u8364)), _u8365)), _u8366)), _u8367)), _u8368) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8364, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8363, _u8364, _u8366), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8363, tc_HOL_Obool)), _u8368), hAPP(c_Set_OCollect(_u8363), _u8365)))), hAPP(c_Set_Oimage(_u8363, _u8364, _u8367), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8363, tc_HOL_Obool)), _u8368), hAPP(c_Set_OCollect(_u8363), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8363), c_fNot), _u8365)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u8369 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u8370, _u8371), 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)), _u8372)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8370), _u8369)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8373) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8374), _u8375)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8374, _u8373), _u8376), hAPP(c_Set_OCollect(_u8374), hAPP(hAPP(c_COMBS(_u8374, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8374), c_fconj), hAPP(hAPP(c_COMBC(_u8374, tc_fun(_u8374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8374)), _u8375))), hAPP(hAPP(c_COMBC(_u8374, tc_fun(_u8374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8374)), _u8377)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8374, _u8373), hAPP(hAPP(c_COMBC(_u8374, _u8373, _u8373), hAPP(hAPP(c_COMBS(_u8374, _u8373, tc_fun(_u8373, _u8373)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8373, tc_fun(_u8373, _u8373)), _u8374), c_If(_u8373)), hAPP(hAPP(c_COMBC(_u8374, tc_fun(_u8374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8374)), _u8377))), _u8376)), c_Groups_Ozero__class_Ozero(_u8373))), _u8375)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8379), _u8380)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8379, _u8378), _u8381), _u8380) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8382, _u8378), hAPP(hAPP(c_COMBB(tc_fun(_u8379, tc_HOL_Obool), _u8378, _u8382), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8379, _u8378), _u8381)), hAPP(hAPP(c_COMBB(tc_fun(_u8379, tc_HOL_Obool), tc_fun(_u8379, tc_HOL_Obool), _u8382), c_Set_OCollect(_u8379)), hAPP(hAPP(c_COMBB(tc_fun(_u8379, tc_HOL_Obool), tc_fun(_u8379, tc_HOL_Obool), _u8382), hAPP(c_COMBS(_u8379, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8379), c_fconj), hAPP(hAPP(c_COMBC(_u8379, tc_fun(_u8379, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8379)), _u8380)))), hAPP(c_COMBC(_u8379, _u8382, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8382, tc_fun(_u8382, tc_HOL_Obool), _u8379), c_fequal), _u8383)))))), hAPP(c_Set_Oimage(_u8379, _u8382, _u8383), _u8380))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8385), _u8386)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8385, _u8384), hAPP(hAPP(c_COMBS(_u8385, _u8384, _u8384), hAPP(hAPP(c_COMBS(_u8385, _u8384, tc_fun(_u8384, _u8384)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8384, tc_fun(_u8384, _u8384)), _u8385), c_If(_u8384)), _u8387)), _u8388)), _u8389)), _u8386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8384), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8385, _u8384), _u8388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8385, tc_HOL_Obool)), _u8386), hAPP(c_Set_OCollect(_u8385), _u8387)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8385, _u8384), _u8389), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8385, tc_HOL_Obool)), _u8386), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8385, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8385), _u8387)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 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, _u8392)), _u8394)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8392), _u8394)) )).
% 12.28/12.46 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), _u8393), _u8395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8393)), _u8395)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8397), _u8398)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8400)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8397, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_Nat_Onat, _u8397), c_Finite__Set_Ocard(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), c_Set_OCollect(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), hAPP(c_COMBS(_u8399, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8399), c_fconj), hAPP(hAPP(c_COMBC(_u8399, tc_fun(_u8399, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8399)), _u8400)))), _u8401)))), _u8398) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8402), hAPP(c_Finite__Set_Ocard(_u8399), _u8400))) | hBOOL(hAPP(hAPP(c_member(_u8399), skolem217(_u8402, _u8401, _u8400, _u8399, _u8398, _u8397)), _u8400)) )).
% 12.28/12.46 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8397), _u8398)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8400)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8397, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_Nat_Onat, _u8397), c_Finite__Set_Ocard(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), c_Set_OCollect(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), hAPP(c_COMBS(_u8399, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8399), c_fconj), hAPP(hAPP(c_COMBC(_u8399, tc_fun(_u8399, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8399)), _u8400)))), _u8401)))), _u8398) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8402), hAPP(c_Finite__Set_Ocard(_u8399), _u8400))) | ( hAPP(c_Finite__Set_Ocard(_u8397), hAPP(c_Set_OCollect(_u8397), hAPP(hAPP(c_COMBS(_u8397, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8397), c_fconj), hAPP(hAPP(c_COMBC(_u8397, tc_fun(_u8397, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8397)), _u8398))), hAPP(hAPP(c_COMBC(_u8397, _u8399, tc_HOL_Obool), _u8401), skolem217(_u8402, _u8401, _u8400, _u8399, _u8398, _u8397))))) != _u8402) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_ex__bij__betw__nat__finite ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_ex__bij__betw__nat__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8404), _u8405)) | c_Fun_Obij__betw(tc_Nat_Onat, _u8404, skolem218(_u8405, _u8404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u8404), _u8405)), _u8405) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_lfp__induct__set ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_lfp__induct__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8407), _u8408), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8407, tc_HOL_Obool), _u8409))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8407, tc_HOL_Obool), tc_fun(_u8407, tc_HOL_Obool), _u8409) | hBOOL(hAPP(_u8410, _u8408)) | hBOOL(hAPP(hAPP(c_member(_u8407), skolem219(_u8410, _u8409, _u8408, _u8407)), hAPP(_u8409, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8407, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8407, tc_HOL_Obool), _u8409)), hAPP(c_Set_OCollect(_u8407), _u8410))))) )).
% 12.28/12.46 cnf(fact_lfp__induct__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8407), _u8408), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8407, tc_HOL_Obool), _u8409))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8407, tc_HOL_Obool), tc_fun(_u8407, tc_HOL_Obool), _u8409) | hBOOL(hAPP(_u8410, _u8408)) | ~hBOOL(hAPP(_u8410, skolem219(_u8410, _u8409, _u8408, _u8407))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_def__lfp__induct__set ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_def__lfp__induct__set-1, axiom, ( ( _u8412 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8413, tc_HOL_Obool), _u8414)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8413, tc_HOL_Obool), tc_fun(_u8413, tc_HOL_Obool), _u8414) | ~hBOOL(hAPP(hAPP(c_member(_u8413), _u8415), _u8412)) | hBOOL(hAPP(_u8416, _u8415)) | hBOOL(hAPP(hAPP(c_member(_u8413), skolem220(_u8416, _u8415, _u8414, _u8413, _u8412)), hAPP(_u8414, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8413, tc_HOL_Obool)), _u8412), hAPP(c_Set_OCollect(_u8413), _u8416))))) )).
% 12.28/12.46 cnf(fact_def__lfp__induct__set-2, axiom, ( ( _u8412 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8413, tc_HOL_Obool), _u8414)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8413, tc_HOL_Obool), tc_fun(_u8413, tc_HOL_Obool), _u8414) | ~hBOOL(hAPP(hAPP(c_member(_u8413), _u8415), _u8412)) | hBOOL(hAPP(_u8416, _u8415)) | ~hBOOL(hAPP(_u8416, skolem220(_u8416, _u8415, _u8414, _u8413, _u8412))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_def__Collect__coinduct ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_def__Collect__coinduct-1, axiom, ( ( _u8418 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420)) | ~hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8422)) | hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8418)) | hBOOL(hAPP(hAPP(c_member(_u8419), skolem221(_u8422, _u8421, _u8420, _u8419, _u8418)), _u8422)) )).
% 12.28/12.46 cnf(fact_def__Collect__coinduct-2, axiom, ( ( _u8418 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420)) | ~hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8422)) | hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8418)) | ~hBOOL(hAPP(hAPP(_u8420, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8419, tc_HOL_Obool)), _u8422), _u8418)), skolem221(_u8422, _u8421, _u8420, _u8419, _u8418))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8423), _u8424)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8423, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u8423, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u8423, tc_HOL_Obool), tc_fun(_u8423, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u8423, tc_HOL_Obool))), _u8424)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u8425), _u8426) = hAPP(c_Set_OCollect(tc_fun(_u8425, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u8425, tc_HOL_Obool), tc_fun(_u8425, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u8425, tc_HOL_Obool))), _u8426))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 12.28/12.46 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)))), _u8427))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 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)))), _u8428)) = 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), _u8428), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u8429) = 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), _u8429), c_Int_Onat))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8431), _u8432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8433), _u8434)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_Nat_Onat, _u8431), c_Finite__Set_Ocard(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), c_Set_OCollect(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), hAPP(c_COMBS(_u8433, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8433), c_fconj), hAPP(hAPP(c_COMBC(_u8433, tc_fun(_u8433, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8433)), _u8434)))), _u8435)))), _u8432) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8433, tc_Nat_Onat), _u8436), _u8434)) | hBOOL(hAPP(hAPP(c_member(_u8433), skolem222(_u8436, _u8435, _u8434, _u8433, _u8432, _u8431)), _u8434)) )).
% 12.28/12.46 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8431), _u8432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8433), _u8434)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_Nat_Onat, _u8431), c_Finite__Set_Ocard(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), c_Set_OCollect(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), hAPP(c_COMBS(_u8433, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8433), c_fconj), hAPP(hAPP(c_COMBC(_u8433, tc_fun(_u8433, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8433)), _u8434)))), _u8435)))), _u8432) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8433, tc_Nat_Onat), _u8436), _u8434)) | ( hAPP(c_Finite__Set_Ocard(_u8431), hAPP(c_Set_OCollect(_u8431), hAPP(hAPP(c_COMBS(_u8431, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8431), c_fconj), hAPP(hAPP(c_COMBC(_u8431, tc_fun(_u8431, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8431)), _u8432))), hAPP(hAPP(c_COMBC(_u8431, _u8433, tc_HOL_Obool), _u8435), skolem222(_u8436, _u8435, _u8434, _u8433, _u8432, _u8431))))) != hAPP(_u8436, skolem222(_u8436, _u8435, _u8434, _u8433, _u8432, _u8431))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8437), _u8438)) | ( _u8438 = c_Orderings_Obot__class_Obot(tc_fun(_u8437, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8437), _u8439)) | ( _u8439 = c_Orderings_Obot__class_Obot(tc_fun(_u8437, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8437), c_Big__Operators_Olattice__class_OSup__fin(_u8437, _u8438)), c_Big__Operators_Olattice__class_OSup__fin(_u8437, _u8439)) = c_Big__Operators_Olattice__class_OSup__fin(_u8437, hAPP(c_Set_OCollect(_u8437), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool, _u8437), c_HOL_OEx(_u8437)), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_HOL_Obool), _u8437), hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool, _u8437), c_HOL_OEx(_u8437))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool))), tc_fun(tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), _u8437), c_COMBS(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u8437, tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool))), _u8437), hAPP(c_COMBB(tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool)), _u8437), c_COMBS(_u8437, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u8437), hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8437), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8437), c_fconj))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_fun(_u8437, _u8437)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8437, _u8437), tc_fun(_u8437, tc_HOL_Obool)), tc_fun(tc_fun(_u8437, tc_fun(_u8437, _u8437)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), _u8437), c_COMBB(tc_fun(_u8437, _u8437), tc_fun(_u8437, tc_HOL_Obool), _u8437)), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_fun(tc_fun(_u8437, _u8437), tc_fun(_u8437, tc_HOL_Obool)), _u8437), c_COMBB(_u8437, tc_HOL_Obool, _u8437)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u8437)))))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool)), _u8437), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8437)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8437), c_fconj), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8437)), _u8438)))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8437)), _u8439)))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8440) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8440), _u8441)) | ( _u8441 = c_Orderings_Obot__class_Obot(tc_fun(_u8440, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8440), _u8442), c_Big__Operators_Olattice__class_OSup__fin(_u8440, _u8441)) = c_Big__Operators_Olattice__class_OSup__fin(_u8440, hAPP(c_Set_OCollect(_u8440), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_HOL_Obool, _u8440), c_HOL_OEx(_u8440)), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), _u8440), c_COMBS(_u8440, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8440), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8440), c_fconj)), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, _u8440), tc_fun(_u8440, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_fun(tc_fun(_u8440, _u8440), tc_fun(_u8440, tc_HOL_Obool)), _u8440), c_COMBB(_u8440, tc_HOL_Obool, _u8440)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8440), _u8442))))), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8440)), _u8441)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8444)) | ( _u8444 = c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8445)) | ( _u8445 = c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8443), c_Big__Operators_Olattice__class_OInf__fin(_u8443, _u8444)), c_Big__Operators_Olattice__class_OInf__fin(_u8443, _u8445)) = c_Big__Operators_Olattice__class_OInf__fin(_u8443, hAPP(c_Set_OCollect(_u8443), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool, _u8443), c_HOL_OEx(_u8443)), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_HOL_Obool), _u8443), hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool, _u8443), c_HOL_OEx(_u8443))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool))), tc_fun(tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), _u8443), c_COMBS(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u8443, tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool))), _u8443), hAPP(c_COMBB(tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool)), _u8443), c_COMBS(_u8443, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u8443), hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8443), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8443), c_fconj))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_fun(_u8443, _u8443)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8443, _u8443), tc_fun(_u8443, tc_HOL_Obool)), tc_fun(tc_fun(_u8443, tc_fun(_u8443, _u8443)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), _u8443), c_COMBB(tc_fun(_u8443, _u8443), tc_fun(_u8443, tc_HOL_Obool), _u8443)), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_fun(tc_fun(_u8443, _u8443), tc_fun(_u8443, tc_HOL_Obool)), _u8443), c_COMBB(_u8443, tc_HOL_Obool, _u8443)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u8443)))))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool)), _u8443), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8443)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8443), c_fconj), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8443)), _u8444)))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8443)), _u8445)))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u8446) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8446), _u8447)) | ( _u8447 = c_Orderings_Obot__class_Obot(tc_fun(_u8446, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8446), _u8448), c_Big__Operators_Olattice__class_OInf__fin(_u8446, _u8447)) = c_Big__Operators_Olattice__class_OInf__fin(_u8446, hAPP(c_Set_OCollect(_u8446), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_HOL_Obool, _u8446), c_HOL_OEx(_u8446)), hAPP(hAPP(c_COMBC(_u8446, tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), _u8446), c_COMBS(_u8446, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8446), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8446), c_fconj)), hAPP(hAPP(c_COMBC(_u8446, tc_fun(_u8446, _u8446), tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_fun(tc_fun(_u8446, _u8446), tc_fun(_u8446, tc_HOL_Obool)), _u8446), c_COMBB(_u8446, tc_HOL_Obool, _u8446)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8446), _u8448))))), hAPP(hAPP(c_COMBC(_u8446, tc_fun(_u8446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8446)), _u8447)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8449), hAPP(c_Set_OCollect(_u8449), _u8450))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8451), hAPP(c_Set_OCollect(_u8451), hAPP(hAPP(c_COMBB(tc_fun(_u8449, tc_HOL_Obool), tc_HOL_Obool, _u8451), c_HOL_OEx(_u8449)), hAPP(hAPP(c_COMBC(_u8451, tc_fun(_u8449, tc_HOL_Obool), tc_fun(_u8449, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8449, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8449, tc_HOL_Obool), tc_fun(_u8449, tc_HOL_Obool)), _u8451), c_COMBS(_u8449, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8449, tc_HOL_Obool), tc_fun(_u8449, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8451), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8449), c_fconj)), hAPP(hAPP(c_COMBC(_u8451, tc_fun(_u8449, _u8451), tc_fun(_u8449, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8451, tc_HOL_Obool), tc_fun(tc_fun(_u8449, _u8451), tc_fun(_u8449, tc_HOL_Obool)), _u8451), c_COMBB(_u8451, tc_HOL_Obool, _u8449)), c_fequal)), _u8452)))), _u8450))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8455), hAPP(c_Set_OCollect(_u8455), _u8456))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool, _u8457), c_HOL_OEx(_u8455)), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_fun(_u8455, tc_HOL_Obool), _u8457), hAPP(c_COMBS(_u8455, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8455), c_fconj), _u8456))), _u8458))))) | ~hBOOL(hAPP(_u8456, _u8453)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBC(_u8457, _u8455, tc_HOL_Obool), _u8458), _u8453)))) )).
% 12.28/12.46 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8455), hAPP(c_Set_OCollect(_u8455), _u8456))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool, _u8457), c_HOL_OEx(_u8455)), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_fun(_u8455, tc_HOL_Obool), _u8457), hAPP(c_COMBS(_u8455, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8455), c_fconj), _u8456))), _u8458))))) | hBOOL(hAPP(_u8456, skolem223(_u8458, _u8457, _u8456, _u8455))) )).
% 12.28/12.46 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8455), hAPP(c_Set_OCollect(_u8455), _u8456))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool, _u8457), c_HOL_OEx(_u8455)), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_fun(_u8455, tc_HOL_Obool), _u8457), hAPP(c_COMBS(_u8455, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8455), c_fconj), _u8456))), _u8458))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBC(_u8457, _u8455, tc_HOL_Obool), _u8458), skolem223(_u8458, _u8457, _u8456, _u8455))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u8459), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8459, tc_HOL_Obool)), _u8460)) = hAPP(c_Set_OCollect(tc_fun(_u8459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8459, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u8459, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8459, tc_HOL_Obool)), c_COMBS(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u8459, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u8459, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(_u8459, tc_HOL_Obool)), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(_u8459, tc_HOL_Obool)), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8459, tc_HOL_Obool)), c_COMBB(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8459, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u8459, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8459, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u8459, tc_HOL_Obool)), _u8460)), c_Set_OPow(_u8459)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u8461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8461), _u8462)) | ( _u8462 = c_Orderings_Obot__class_Obot(tc_fun(_u8461, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8461), _u8463), c_Big__Operators_Olinorder__class_OMin(_u8461, _u8462)) = c_Big__Operators_Olinorder__class_OMin(_u8461, hAPP(c_Set_OCollect(_u8461), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_HOL_Obool), tc_HOL_Obool, _u8461), c_HOL_OEx(_u8461)), hAPP(hAPP(c_COMBC(_u8461, tc_fun(_u8461, tc_HOL_Obool), tc_fun(_u8461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8461, tc_HOL_Obool), tc_fun(_u8461, tc_HOL_Obool)), _u8461), c_COMBS(_u8461, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_HOL_Obool), tc_fun(_u8461, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8461), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8461), c_fconj)), hAPP(hAPP(c_COMBC(_u8461, tc_fun(_u8461, _u8461), tc_fun(_u8461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_HOL_Obool), tc_fun(tc_fun(_u8461, _u8461), tc_fun(_u8461, tc_HOL_Obool)), _u8461), c_COMBB(_u8461, tc_HOL_Obool, _u8461)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u8461), _u8463))))), hAPP(hAPP(c_COMBC(_u8461, tc_fun(_u8461, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8461)), _u8462)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u8464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8464), _u8465)) | ( _u8465 = c_Orderings_Obot__class_Obot(tc_fun(_u8464, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8464), _u8466), c_Big__Operators_Olinorder__class_OMax(_u8464, _u8465)) = c_Big__Operators_Olinorder__class_OMax(_u8464, hAPP(c_Set_OCollect(_u8464), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_HOL_Obool), tc_HOL_Obool, _u8464), c_HOL_OEx(_u8464)), hAPP(hAPP(c_COMBC(_u8464, tc_fun(_u8464, tc_HOL_Obool), tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8464, tc_HOL_Obool), tc_fun(_u8464, tc_HOL_Obool)), _u8464), c_COMBS(_u8464, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_HOL_Obool), tc_fun(_u8464, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8464), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8464), c_fconj)), hAPP(hAPP(c_COMBC(_u8464, tc_fun(_u8464, _u8464), tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_HOL_Obool), tc_fun(tc_fun(_u8464, _u8464), tc_fun(_u8464, tc_HOL_Obool)), _u8464), c_COMBB(_u8464, tc_HOL_Obool, _u8464)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u8464), _u8466))))), hAPP(hAPP(c_COMBC(_u8464, tc_fun(_u8464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8464)), _u8465)))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8473), _u8475)) | ( _u8475 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u8473, skolem225(_u8475, _u8473)), 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)), skolem224(_u8475, _u8473))))) )).
% 12.28/12.46 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u8476 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u8474, _u8469), 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)), _u8470)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8474), _u8476)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8478), _u8479)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8480), hAPP(c_Set_Oimage(_u8478, _u8480, _u8481), _u8479))) | hBOOL(hAPP(hAPP(c_member(_u8478), skolem226(_u8481, _u8480, _u8479, _u8478)), _u8479)) )).
% 12.28/12.46 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8478), _u8479)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8480), hAPP(c_Set_Oimage(_u8478, _u8480, _u8481), _u8479))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8478), hAPP(c_Set_OCollect(_u8478), hAPP(hAPP(c_COMBS(_u8478, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8478), c_fconj), hAPP(hAPP(c_COMBC(_u8478, tc_fun(_u8478, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8478)), _u8479))), hAPP(hAPP(c_COMBC(_u8478, _u8480, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8480, tc_fun(_u8480, tc_HOL_Obool), _u8478), c_fequal), _u8481)), hAPP(_u8481, skolem226(_u8481, _u8480, _u8479, _u8478))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8484)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8486)), hAPP(c_Int_Onat, _u8484)) = hAPP(c_Int_Onat, _u8486)) )).
% 12.28/12.46 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8485)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8487)), hAPP(c_Int_Onat, _u8485)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8487), _u8485)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8488))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8489) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8489), _u8490)) | ( _u8490 = c_Orderings_Obot__class_Obot(tc_fun(_u8489, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8489), c_Big__Operators_Olinorder__class_OMin(_u8489, _u8490)) = c_Big__Operators_Olinorder__class_OMax(_u8489, hAPP(c_Set_Oimage(_u8489, _u8489, c_Groups_Ouminus__class_Ouminus(_u8489)), _u8490))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8491) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8491), _u8492)) | ( _u8492 = c_Orderings_Obot__class_Obot(tc_fun(_u8491, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8491), c_Big__Operators_Olinorder__class_OMax(_u8491, _u8492)) = c_Big__Operators_Olinorder__class_OMin(_u8491, hAPP(c_Set_Oimage(_u8491, _u8491, c_Groups_Ouminus__class_Ouminus(_u8491)), _u8492))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8493) | ( c_Big__Operators_Olinorder__class_OMin(_u8493, hAPP(hAPP(c_Set_Oinsert(_u8493), _u8494), c_Orderings_Obot__class_Obot(tc_fun(_u8493, tc_HOL_Obool)))) = _u8494) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8495) | ( c_Big__Operators_Olinorder__class_OMax(_u8495, hAPP(hAPP(c_Set_Oinsert(_u8495), _u8496), c_Orderings_Obot__class_Obot(tc_fun(_u8495, tc_HOL_Obool)))) = _u8496) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8498)) )).
% 12.28/12.46 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)), _u8499)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8499)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8501), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.46 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8502), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8502)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8503)) | ( hAPP(c_Int_Onat, _u8503) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8504)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u8504)) = _u8504) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u8505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8505), _u8506)) | ~hBOOL(hAPP(hAPP(c_member(_u8505), _u8507), _u8506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8505), _u8507), c_Big__Operators_Olinorder__class_OMax(_u8505, _u8506))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u8508) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8508), _u8509)) | ~hBOOL(hAPP(hAPP(c_member(_u8508), _u8510), _u8509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), c_Big__Operators_Olinorder__class_OMin(_u8508, _u8509)), _u8510)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u8511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8511), _u8512)) | ( _u8512 = c_Orderings_Obot__class_Obot(tc_fun(_u8511, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8511), c_Big__Operators_Olinorder__class_OMin(_u8511, _u8512)), _u8512)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u8513) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8513), _u8514)) | ( _u8514 = c_Orderings_Obot__class_Obot(tc_fun(_u8513, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8513), c_Big__Operators_Olinorder__class_OMax(_u8513, _u8514)), _u8514)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 12.28/12.46 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, _u8515))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8516, tc_HOL_Obool)), _u8517), _u8518)) | ( _u8517 = c_Orderings_Obot__class_Obot(tc_fun(_u8516, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8516), c_Big__Operators_Olinorder__class_OMax(_u8516, _u8517)), c_Big__Operators_Olinorder__class_OMax(_u8516, _u8518))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u8519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8519, tc_HOL_Obool)), _u8520), _u8521)) | ( _u8520 = c_Orderings_Obot__class_Obot(tc_fun(_u8519, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8519), _u8521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8519), c_Big__Operators_Olinorder__class_OMin(_u8519, _u8521)), c_Big__Operators_Olinorder__class_OMin(_u8519, _u8520))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8522), _u8523)) | ~hBOOL(hAPP(hAPP(c_member(_u8522), _u8524), _u8523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8522, tc_HOL_Obool)), _u8523), hAPP(hAPP(c_Set_Oinsert(_u8522), _u8524), c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8522, _u8523) = _u8524) )).
% 12.28/12.46 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8522), _u8523)) | ~hBOOL(hAPP(hAPP(c_member(_u8522), _u8524), _u8523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8522, tc_HOL_Obool)), _u8523), hAPP(hAPP(c_Set_Oinsert(_u8522), _u8524), c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8522, _u8523) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8522), _u8524), c_Big__Operators_Olinorder__class_OMin(_u8522, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8522, tc_HOL_Obool)), _u8523), hAPP(hAPP(c_Set_Oinsert(_u8522), _u8524), c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8525), _u8526)) | ~hBOOL(hAPP(hAPP(c_member(_u8525), _u8527), _u8526)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8525, tc_HOL_Obool)), _u8526), hAPP(hAPP(c_Set_Oinsert(_u8525), _u8527), c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8525, _u8526) = _u8527) )).
% 12.28/12.46 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8525), _u8526)) | ~hBOOL(hAPP(hAPP(c_member(_u8525), _u8527), _u8526)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8525, tc_HOL_Obool)), _u8526), hAPP(hAPP(c_Set_Oinsert(_u8525), _u8527), c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8525, _u8526) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8525), _u8527), c_Big__Operators_Olinorder__class_OMax(_u8525, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8525, tc_HOL_Obool)), _u8526), hAPP(hAPP(c_Set_Oinsert(_u8525), _u8527), c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8529, tc_Nat_Onat), _u8530), _u8531) != hAPP(c_Nat_OSuc, _u8532)) | hBOOL(hAPP(hAPP(c_member(_u8529), skolem227(_u8532, _u8531, _u8530, _u8529)), _u8531)) )).
% 12.28/12.46 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8529, tc_Nat_Onat), _u8530), _u8531) != hAPP(c_Nat_OSuc, _u8532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8530, skolem227(_u8532, _u8531, _u8530, _u8529)))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_Cantor__Bernstein ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_Cantor__Bernstein-1, axiom, ( ~c_Fun_Oinj__on(_u8534, _u8535, _u8536, _u8537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8535, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8534, _u8535, _u8536), _u8537)), _u8538)) | ~c_Fun_Oinj__on(_u8535, _u8534, _u8539, _u8538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8534, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8535, _u8534, _u8539), _u8538)), _u8537)) | c_Fun_Obij__betw(_u8534, _u8535, skolem228(_u8539, _u8538, _u8537, _u8536, _u8535, _u8534), _u8537, _u8538) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8541), _u8542)) | ~hBOOL(hAPP(hAPP(c_member(_u8541), _u8543), _u8542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8541, _u8540), _u8544), _u8542) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8540), hAPP(_u8544, _u8543)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8541, _u8540), _u8544), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8541, tc_HOL_Obool)), _u8542), hAPP(hAPP(c_Set_Oinsert(_u8541), _u8543), c_Orderings_Obot__class_Obot(tc_fun(_u8541, tc_HOL_Obool))))))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_max__of__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_max__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8545) | ~class_Orderings_Olinorder(_u8546) | ~c_Orderings_Oorder__class_Omono(_u8546, _u8545, _u8547) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8545), hAPP(_u8547, _u8548)), hAPP(_u8547, _u8549)) = hAPP(_u8547, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8546), _u8548), _u8549))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__of__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8550) | ~class_Orderings_Olinorder(_u8551) | ~c_Orderings_Oorder__class_Omono(_u8551, _u8550, _u8552) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8550), hAPP(_u8552, _u8553)), hAPP(_u8552, _u8554)) = hAPP(_u8552, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8551), _u8553), _u8554))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8555) | ~class_Rings_Oring__1(_u8555) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8555), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8556, tc_Int_Oint), _u8557), _u8558)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8556, _u8555), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8555, _u8556), c_Int_Oring__1__class_Oof__int(_u8555)), _u8557)), _u8558)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8559, tc_Nat_Onat), _u8560), _u8561) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8559, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8559), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8560)), _u8561))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8564), _u8565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8565)) )).
% 12.28/12.46 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8564), _u8565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8564)) )).
% 12.28/12.46 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8564), _u8565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8565)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u8566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8566), _u8567), _u8568)), _u8569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), _u8567), _u8569)) )).
% 12.28/12.46 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u8566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8566), _u8567), _u8568)), _u8569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), _u8568), _u8569)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8570), _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8570), _u8573), _u8574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8570), _u8571), _u8573)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8570), _u8572), _u8574))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u8575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8575), _u8576), _u8577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8575), _u8578), _u8577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8575), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8575), _u8576), _u8578)), _u8577)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u8579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), _u8580), _u8581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), _u8582), _u8581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8579), _u8580), _u8582)), _u8581)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u8583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8583), _u8584), _u8585)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8583), _u8585), _u8584) = _u8585) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u8586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8586), _u8587), _u8588)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8586), _u8587), _u8588) = _u8588) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u8589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8589), _u8590), _u8591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8589), _u8590), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8592), _u8591))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u8593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8593), _u8594), _u8595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8593), _u8594), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8595), _u8596))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8599)), _u8600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8598), _u8600)) )).
% 12.28/12.46 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8599)), _u8600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8599), _u8600)) )).
% 12.28/12.46 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8598), _u8600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8599), _u8600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8599)), _u8600)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8601), _u8602), _u8603)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), _u8603) = _u8603) )).
% 12.28/12.46 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u8601) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), _u8603) != _u8603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8601), _u8602), _u8603)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u8604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8604), _u8605), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8604), _u8606), _u8605))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u8607) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8607), _u8608), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8607), _u8608), _u8609))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8610) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8610), _u8611), _u8612)), _u8613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8611), _u8613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8612), _u8613)) )).
% 12.28/12.46 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8610), _u8611), _u8612)), _u8613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8611), _u8613)) )).
% 12.28/12.46 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8610), _u8611), _u8612)), _u8613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8612), _u8613)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u8614) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8614), _u8616), _u8617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), _u8616)) )).
% 12.28/12.46 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u8614) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8614), _u8616), _u8617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), _u8617)) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8618), _u8619), _u8620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8618), _u8621), _u8622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8618), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8618), _u8619), _u8621)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8618), _u8620), _u8622))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u8623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8626)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8623), _u8625), _u8626))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u8627) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8627), _u8628), _u8629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8627), _u8628), _u8630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8627), _u8628), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8627), _u8629), _u8630))) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u8631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8631), _u8632), _u8633)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8631), _u8633), _u8632) = _u8632) )).
% 12.28/12.46
% 12.28/12.46 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 12.28/12.46 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u8634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), _u8635), _u8636)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8634), _u8635), _u8636) = _u8635) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u8637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8637), _u8638), _u8639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8637), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), _u8640), _u8638)), _u8639)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u8641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8641), _u8642), _u8643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8641), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8641), _u8642), _u8644)), _u8643)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8645), _u8647), _u8648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8647)) )).
% 12.28/12.47 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8645), _u8647), _u8648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8648)) )).
% 12.28/12.47 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8645), _u8647), _u8648))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u8649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8649), _u8650), _u8651)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8649), _u8650), _u8651) = _u8650) )).
% 12.28/12.47 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u8649) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8649), _u8650), _u8651) != _u8650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8649), _u8650), _u8651)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u8652) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8652), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8652), _u8653), _u8654)), _u8654)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u8655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8655), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8655), _u8656), _u8657)), _u8656)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u8658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8658), _u8659), _u8660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8658), _u8659), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8658), _u8661), _u8660))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u8662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8662), _u8663), _u8664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8662), _u8663), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8662), _u8664), _u8665))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8667), _u8668)), _u8669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8667), _u8669)) )).
% 12.28/12.47 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8667), _u8668)), _u8669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8668), _u8669)) )).
% 12.28/12.47 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8667), _u8669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8668), _u8669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8667), _u8668)), _u8669)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8670), _u8672), _u8673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8673)) )).
% 12.28/12.47 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8670) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8670), _u8672), _u8673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8672)) )).
% 12.28/12.47 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8670) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8670), _u8672), _u8673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8673)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u8674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8674), _u8675), _u8676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8674), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8674), _u8677), _u8675)), _u8676)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u8678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8678), _u8679), _u8680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8678), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8678), _u8679), _u8681)), _u8680)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8682), _u8683), _u8684)), _u8685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8683), _u8685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8684), _u8685)) )).
% 12.28/12.47 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8682), _u8683), _u8684)), _u8685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8683), _u8685)) )).
% 12.28/12.47 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8682), _u8683), _u8684)), _u8685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8684), _u8685)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u8686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8686), _u8688), _u8689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8688)) )).
% 12.28/12.47 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u8686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8686), _u8688), _u8689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8689)) )).
% 12.28/12.47 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u8686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8686), _u8688), _u8689))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8690) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8690), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8690), _u8691), _u8692)), _u8693) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8690), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8690), _u8691), _u8693)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8690), _u8692), _u8693))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8694) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8694), _u8695), _u8696)), _u8697) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8694), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8694), _u8695), _u8697)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8694), _u8696), _u8697))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8698) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8698), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), _u8699), _u8700)), _u8701) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8698), _u8699), _u8701)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8698), _u8700), _u8701))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8702) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8702), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8702), _u8703), _u8704)), _u8705) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8702), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8702), _u8703), _u8705)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8702), _u8704), _u8705))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8706) = _u8706) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8707), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8707) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8708) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8709), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8710)), hAPP(c_Nat_OSuc, _u8711)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8710), _u8711))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8712)), hAPP(c_Nat_OSuc, _u8713)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8712), _u8713))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u8714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8714), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8714), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8714), _u8715), _u8716)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8714), _u8715), _u8717))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8714), _u8715), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8714), _u8716), _u8717)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u8718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8718), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8718), _u8719), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8718), _u8720), _u8721))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8718), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8718), _u8719), _u8720)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8718), _u8719), _u8721)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8722) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8722), _u8723), _u8723) = _u8723) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8724) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8724), _u8725), _u8725) = _u8725) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8726) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8726), _u8727), _u8727) = _u8727) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8728) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8728), _u8729), _u8729) = _u8729) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u8730) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), _u8731), _u8732) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), _u8732), _u8731)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8733) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8733), _u8734), _u8735) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8733), _u8735), _u8734)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u8736) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8736), _u8737), _u8738) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8736), _u8738), _u8737)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8739) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8739), _u8740), _u8741) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8739), _u8741), _u8740)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8742) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8742), _u8743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8742), _u8743), _u8744)) = _u8743) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8745) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8745), _u8746), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8745), _u8746), _u8747)) = _u8746) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8748) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8748), _u8749), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8748), _u8749), _u8750)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8748), _u8749), _u8750)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8751) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8751), _u8752), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8751), _u8752), _u8753)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8751), _u8752), _u8753)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8754) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8754), _u8755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8754), _u8755), _u8756)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8754), _u8755), _u8756)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8757) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8757), _u8758), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8757), _u8758), _u8759)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8757), _u8758), _u8759)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8760) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8761), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8762), _u8763)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8762), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8761), _u8763))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8764) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8765), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8766), _u8767)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8766), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8765), _u8767))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8768) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8769), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8770), _u8771)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8770), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8769), _u8771))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8772) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8773), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8774), _u8775)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8774), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8773), _u8775))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u8776) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8776), _u8777), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8776), _u8778), _u8779)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8776), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8776), _u8777), _u8778)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8776), _u8777), _u8779))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u8780) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8780), _u8781), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8780), _u8782), _u8783)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8780), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8780), _u8781), _u8782)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8780), _u8781), _u8783))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u8784) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), _u8785), _u8786)), _u8787) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), _u8785), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), _u8786), _u8787))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u8788) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), _u8789), _u8790)), _u8791) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), _u8789), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), _u8790), _u8791))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u8792) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), _u8793), _u8794)), _u8795) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), _u8793), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), _u8794), _u8795))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u8796) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), _u8797), _u8798)), _u8799) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), _u8797), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), _u8798), _u8799))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u8800) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8800), _u8801), _u8802)), _u8803) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8800), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), _u8801), _u8803)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), _u8802), _u8803))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u8804) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8804), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8804), _u8805), _u8806)), _u8807) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8804), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8804), _u8805), _u8807)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8804), _u8806), _u8807))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8808) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8808), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8808), _u8809), _u8810)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8808), hAPP(c_Groups_Ouminus__class_Ouminus(_u8808), _u8809)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8808), _u8810))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8811) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8811), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8811), _u8812), _u8813)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8811), hAPP(c_Groups_Ouminus__class_Ouminus(_u8811), _u8812)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8811), _u8813))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8814) | ~class_Rings_Osemiring__1(_u8814) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8814), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8815, tc_Nat_Onat), _u8816), _u8817)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8815, _u8814), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8814, _u8815), c_Nat_Osemiring__1__class_Oof__nat(_u8814)), _u8816)), _u8817)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 12.28/12.47 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(_u8818, tc_Nat_Onat), _u8819), _u8820)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8818, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8818), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8819)), _u8820)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 12.28/12.47 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), _u8821), _u8822)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8823), _u8822)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8821), _u8823)), _u8822)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8824) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8824, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8824, _u8825), _u8826)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8824, _u8827), _u8828)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8824, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8824), _u8825), _u8827)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8824), _u8826), _u8828))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u8829) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8829, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8829, _u8830, _u8831)), c_SetInterval_Oord__class_OatLeastAtMost(_u8829, _u8832, _u8833)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8829, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8829), _u8830), _u8832), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8829), _u8831), _u8833))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u8834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8834, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8834, _u8835, _u8836)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8834, _u8837, _u8838)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8834, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8834), _u8835), _u8837), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8834), _u8836), _u8838))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8839) | ~class_Orderings_Olinorder(_u8839) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u8839) = c_Orderings_Oord__class_Omin(_u8839)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8840) | ~class_Orderings_Olinorder(_u8840) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8840) = c_Orderings_Oord__class_Omax(_u8840)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8841) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8841, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8841, _u8842, _u8843)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8841, _u8844, _u8845)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8841, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8841), _u8842), _u8844), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8841), _u8843), _u8845))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8846) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8847, _u8846), hAPP(hAPP(c_COMBS(_u8847, _u8846, _u8846), hAPP(hAPP(c_COMBB(_u8846, tc_fun(_u8846, _u8846), _u8847), c_Groups_Otimes__class_Otimes(_u8846)), _u8848)), _u8849)), _u8850) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8846), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8847, _u8846), _u8848), _u8850)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8847, _u8846), _u8849), _u8850))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8851) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8852, _u8851), hAPP(c_COMBK(_u8851, _u8852), c_Groups_Oone__class_Oone(_u8851))), _u8853) = c_Groups_Oone__class_Oone(_u8851)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u8854) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8854), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8855, _u8854), _u8856), _u8857)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8855, _u8854), hAPP(hAPP(c_COMBB(_u8854, _u8854, _u8855), c_Groups_Oabs__class_Oabs(_u8854)), _u8856)), _u8857)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8858) | c_Finite__Set_Ofun__left__comm__idem(_u8858, _u8858, c_Orderings_Oord__class_Omax(_u8858)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u8859) | c_Finite__Set_Ofun__left__comm__idem(_u8859, _u8859, c_Orderings_Oord__class_Omin(_u8859)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8860) | ~class_Groups_Ocomm__monoid__mult(_u8860) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8860), _u8861), _u8862) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8860), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8860, tc_Int_Oint), _u8861), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8862))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8864) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8865), _u8866)) | ~hBOOL(hAPP(hAPP(c_member(_u8865), _u8863), _u8866)) | ( hAPP(_u8867, _u8863) != c_Groups_Ozero__class_Ozero(_u8864)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8865, _u8864), _u8867), _u8866) = c_Groups_Ozero__class_Ozero(_u8864)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8870) | ~class_Rings_Ono__zero__divisors(_u8870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8871, _u8870), _u8873), _u8872) != c_Groups_Ozero__class_Ozero(_u8870)) | hBOOL(hAPP(hAPP(c_member(_u8871), skolem229(_u8873, _u8872, _u8871, _u8870)), _u8872)) )).
% 12.28/12.47 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8870) | ~class_Rings_Ono__zero__divisors(_u8870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8871, _u8870), _u8873), _u8872) != c_Groups_Ozero__class_Ozero(_u8870)) | ( hAPP(_u8873, skolem229(_u8873, _u8872, _u8871, _u8870)) = c_Groups_Ozero__class_Ozero(_u8870)) )).
% 12.28/12.47 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8870) | ~class_Rings_Ono__zero__divisors(_u8870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ~hBOOL(hAPP(hAPP(c_member(_u8871), _u8869), _u8872)) | ( hAPP(_u8873, _u8869) != c_Groups_Ozero__class_Ozero(_u8870)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8871, _u8870), _u8873), _u8872) = c_Groups_Ozero__class_Ozero(_u8870)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8875, _u8874), _u8876), c_Orderings_Obot__class_Obot(tc_fun(_u8875, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8874)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8877) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8878, _u8877), _u8879), c_Orderings_Obot__class_Obot(tc_fun(_u8878, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8877)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8880) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8881), _u8882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8881, _u8880), _u8883), _u8882) = c_Groups_Oone__class_Oone(_u8880)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8884) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8885), _u8886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8885, _u8884), _u8887), _u8886) = c_Groups_Oone__class_Oone(_u8884)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8890), _u8891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8890, tc_Nat_Onat), _u8892), _u8891) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8890), _u8888), _u8891)) | ( hAPP(_u8892, _u8888) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8890), _u8891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8890, tc_Nat_Onat), _u8892), _u8891) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8890), skolem230(_u8892, _u8891, _u8890)), _u8891)) )).
% 12.28/12.47 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8890), _u8891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8890, tc_Nat_Onat), _u8892), _u8891) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8892, skolem230(_u8892, _u8891, _u8890)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8893) | ~class_Groups_Ocomm__monoid__mult(_u8893) | ~c_Nat__Transfer_Onat__set(_u8894) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8893), _u8895), _u8894) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8893), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8893, tc_Nat_Onat), _u8895), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8894))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 12.28/12.47 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), _u8896), _u8897)), _u8897) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8896), _u8897)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8898) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), _u8900)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8899, _u8898), hAPP(hAPP(c_COMBS(_u8899, _u8898, _u8898), hAPP(hAPP(c_COMBB(_u8898, tc_fun(_u8898, _u8898), _u8899), c_Groups_Otimes__class_Otimes(_u8898)), _u8901)), _u8902)), _u8900) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8898), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8899, _u8898), _u8901), _u8900)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8899, _u8898), _u8902), _u8900))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8905), _u8906)) | ~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(_u8905, tc_Nat_Onat), _u8907), _u8906))) | ~hBOOL(hAPP(hAPP(c_member(_u8905), _u8903), _u8906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8907, _u8903))) )).
% 12.28/12.47 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8905), _u8906)) | 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(_u8905, tc_Nat_Onat), _u8907), _u8906))) | hBOOL(hAPP(hAPP(c_member(_u8905), skolem231(_u8907, _u8906, _u8905)), _u8906)) )).
% 12.28/12.47 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8905), _u8906)) | 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(_u8905, tc_Nat_Onat), _u8907), _u8906))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8907, skolem231(_u8907, _u8906, _u8905)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8908) | ~c_Fun_Oinj__on(_u8909, _u8910, _u8911, _u8912) | ( _u8913 != hAPP(c_Set_Oimage(_u8909, _u8910, _u8911), _u8912)) | ( _u8914 != hAPP(c_Fun_Ocomp(_u8910, _u8908, _u8909, _u8915), _u8911)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8910, _u8908), _u8915), _u8913) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8909, _u8908), _u8914), _u8912)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8916) | ~c_Fun_Oinj__on(_u8917, _u8918, _u8919, _u8920) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8918, _u8916), _u8921), hAPP(c_Set_Oimage(_u8917, _u8918, _u8919), _u8920)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8917, _u8916), hAPP(c_Fun_Ocomp(_u8918, _u8916, _u8917, _u8921), _u8919)), _u8920)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8922)), _u8923) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8922), 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), _u8922)), _u8923)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8924), hAPP(c_Nat_OSuc, _u8925)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8925), 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)), _u8925)), _u8924)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | ~hBOOL(hAPP(hAPP(c_member(_u8927), _u8929), _u8928)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), hAPP(hAPP(c_COMBC(_u8927, _u8926, _u8926), hAPP(hAPP(c_COMBS(_u8927, _u8926, tc_fun(_u8926, _u8926)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8926, tc_fun(_u8926, _u8926)), _u8927), c_If(_u8926)), hAPP(c_fequal, _u8929))), _u8930)), c_Groups_Oone__class_Oone(_u8926))), _u8928) = hAPP(_u8930, _u8929)) )).
% 12.28/12.47 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | hBOOL(hAPP(hAPP(c_member(_u8927), _u8929), _u8928)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), hAPP(hAPP(c_COMBC(_u8927, _u8926, _u8926), hAPP(hAPP(c_COMBS(_u8927, _u8926, tc_fun(_u8926, _u8926)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8926, tc_fun(_u8926, _u8926)), _u8927), c_If(_u8926)), hAPP(c_fequal, _u8929))), _u8930)), c_Groups_Oone__class_Oone(_u8926))), _u8928) = c_Groups_Oone__class_Oone(_u8926)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8932), _u8933)) | ~hBOOL(hAPP(hAPP(c_member(_u8932), _u8934), _u8933)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8932, _u8931), hAPP(hAPP(c_COMBC(_u8932, _u8931, _u8931), hAPP(hAPP(c_COMBS(_u8932, _u8931, tc_fun(_u8931, _u8931)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8931, tc_fun(_u8931, _u8931)), _u8932), c_If(_u8931)), hAPP(hAPP(c_COMBC(_u8932, _u8932, tc_HOL_Obool), c_fequal), _u8934))), _u8935)), c_Groups_Oone__class_Oone(_u8931))), _u8933) = hAPP(_u8935, _u8934)) )).
% 12.28/12.47 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8932), _u8933)) | hBOOL(hAPP(hAPP(c_member(_u8932), _u8934), _u8933)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8932, _u8931), hAPP(hAPP(c_COMBC(_u8932, _u8931, _u8931), hAPP(hAPP(c_COMBS(_u8932, _u8931, tc_fun(_u8931, _u8931)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8931, tc_fun(_u8931, _u8931)), _u8932), c_If(_u8931)), hAPP(hAPP(c_COMBC(_u8932, _u8932, tc_HOL_Obool), c_fequal), _u8934))), _u8935)), c_Groups_Oone__class_Oone(_u8931))), _u8933) = c_Groups_Oone__class_Oone(_u8931)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8936), _u8937)) | ~hBOOL(hAPP(hAPP(c_member(_u8936), _u8938), _u8937)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8936), _u8938), c_Big__Operators_Olinorder__class_OMax(_u8936, _u8937)) = c_Big__Operators_Olinorder__class_OMax(_u8936, _u8937)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8939), _u8940)) | ~hBOOL(hAPP(hAPP(c_member(_u8939), _u8941), _u8940)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8939), _u8941), c_Big__Operators_Olinorder__class_OMin(_u8939, _u8940)) = c_Big__Operators_Olinorder__class_OMin(_u8939, _u8940)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Omono__sup ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Omono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8942) | ~class_Orderings_Olinorder(_u8943) | ~c_Orderings_Oorder__class_Omono(_u8943, _u8942, _u8944) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8942), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8942), hAPP(_u8944, _u8945)), hAPP(_u8944, _u8946))), hAPP(_u8944, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8943), _u8945), _u8946)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Omono__inf ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Omono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u8947) | ~class_Orderings_Olinorder(_u8948) | ~c_Orderings_Oorder__class_Omono(_u8948, _u8947, _u8949) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8947), hAPP(_u8949, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8948), _u8950), _u8951))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8947), hAPP(_u8949, _u8950)), hAPP(_u8949, _u8951)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u8952) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8952, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8952), _u8953)), c_SetInterval_Oord__class_OatLeastAtMost(_u8952, _u8954, _u8955)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8952, _u8954, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8952), _u8953), _u8955))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u8956) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8956, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8956, _u8957, _u8958)), hAPP(c_SetInterval_Oord__class_OatMost(_u8956), _u8959)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8956, _u8957, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8956), _u8958), _u8959))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u8960) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8960, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8960), _u8961)), c_SetInterval_Oord__class_OatLeastAtMost(_u8960, _u8962, _u8963)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8960, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8960), _u8961), _u8962), _u8963)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u8964) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8964, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8964, _u8965, _u8966)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8964), _u8967)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8964, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8964), _u8965), _u8967), _u8966)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8968), _u8969)) | ( c_Big__Operators_Olinorder__class_OMax(_u8968, _u8969) = hAPP(c_Finite__Set_Ofold1(_u8968, c_Orderings_Oord__class_Omax(_u8968)), _u8969)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8970), _u8971)) | ( c_Big__Operators_Olinorder__class_OMin(_u8970, _u8971) = hAPP(c_Finite__Set_Ofold1(_u8970, c_Orderings_Oord__class_Omin(_u8970)), _u8971)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8972) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8973), _u8974)) | hBOOL(hAPP(hAPP(c_member(_u8973), _u8975), _u8974)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8973, _u8972), _u8976), hAPP(hAPP(c_Set_Oinsert(_u8973), _u8975), _u8974)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8972), hAPP(_u8976, _u8975)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8973, _u8972), _u8976), _u8974))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8978), _u8979)) | hBOOL(hAPP(hAPP(c_member(_u8978), _u8980), _u8979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8978, _u8977), _u8981), hAPP(hAPP(c_Set_Oinsert(_u8978), _u8980), _u8979)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8977), hAPP(_u8981, _u8980)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8978, _u8977), _u8981), _u8979))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8982) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8983), _u8984)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8983), _u8985)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8982), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8983, tc_HOL_Obool)), _u8984), _u8985))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8983, tc_HOL_Obool)), _u8984), _u8985))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8982), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), _u8984)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), _u8985))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8987) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8988), _u8989)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8988), _u8990)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8987), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8988, tc_HOL_Obool)), _u8989), _u8990))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8988, tc_HOL_Obool)), _u8989), _u8990))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8987), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), _u8989)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), _u8990))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8993), _u8994)) | ~c_Fun_Oinj__on(_u8993, _u8993, _u8995, _u8994) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8993, _u8992), _u8996), hAPP(c_Set_Oimage(_u8993, _u8993, _u8995), _u8994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8993, _u8992), hAPP(c_Fun_Ocomp(_u8993, _u8992, _u8993, _u8996), _u8995)), _u8994)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8998), _u8999)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8998, _u8997), _u9000), _u8999) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8997, _u8998, c_Groups_Otimes__class_Otimes(_u8997)), _u9000), c_Groups_Oone__class_Oone(_u8997)), _u8999)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9001) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9002), _u9003)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9002, _u9001), _u9004), _u9003) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9001, _u9002, c_Groups_Otimes__class_Otimes(_u9001)), _u9004), c_Groups_Oone__class_Oone(_u9001)), _u9003)) )).
% 12.28/12.47 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9001) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9002), _u9003)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9002, _u9001), _u9004), _u9003) = c_Groups_Oone__class_Oone(_u9001)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9005)), _u9006) = 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), _u9005)), _u9006)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u9007), hAPP(c_Nat_OSuc, _u9008)) = 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)), _u9008)), _u9007)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u9009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9009), _u9010)) | ~hBOOL(hAPP(hAPP(c_member(_u9009), _u9011), _u9010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9009), hAPP(c_Finite__Set_Ofold1(_u9009, c_Orderings_Oord__class_Omin(_u9009)), _u9010)), _u9011)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9015 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), hAPP(c_Finite__Set_Ofold1(_u9014, c_Orderings_Oord__class_Omin(_u9014)), _u9015)), _u9016)) | hBOOL(hAPP(hAPP(c_member(_u9014), skolem232(_u9016, _u9015, _u9014)), _u9015)) )).
% 12.28/12.47 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9015 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), hAPP(c_Finite__Set_Ofold1(_u9014, c_Orderings_Oord__class_Omin(_u9014)), _u9015)), _u9016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), skolem232(_u9016, _u9015, _u9014)), _u9016)) )).
% 12.28/12.47 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9015 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9014), _u9013), _u9015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), _u9013), _u9016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), hAPP(c_Finite__Set_Ofold1(_u9014, c_Orderings_Oord__class_Omin(_u9014)), _u9015)), _u9016)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u9019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9019), _u9020)) | ( _u9020 = c_Orderings_Obot__class_Obot(tc_fun(_u9019, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), hAPP(c_Finite__Set_Ofold1(_u9019, c_Orderings_Oord__class_Omin(_u9019)), _u9020))) | ~hBOOL(hAPP(hAPP(c_member(_u9019), _u9017), _u9020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), _u9017)) )).
% 12.28/12.47 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u9019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9019), _u9020)) | ( _u9020 = c_Orderings_Obot__class_Obot(tc_fun(_u9019, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), hAPP(c_Finite__Set_Ofold1(_u9019, c_Orderings_Oord__class_Omin(_u9019)), _u9020))) | hBOOL(hAPP(hAPP(c_member(_u9019), skolem233(_u9021, _u9020, _u9019)), _u9020)) )).
% 12.28/12.47 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u9019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9019), _u9020)) | ( _u9020 = c_Orderings_Obot__class_Obot(tc_fun(_u9019, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), hAPP(c_Finite__Set_Ofold1(_u9019, c_Orderings_Oord__class_Omin(_u9019)), _u9020))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), skolem233(_u9021, _u9020, _u9019))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u9024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9024), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), hAPP(c_Finite__Set_Ofold1(_u9024, c_Orderings_Oord__class_Omin(_u9024)), _u9025)), _u9026)) | hBOOL(hAPP(hAPP(c_member(_u9024), skolem234(_u9026, _u9025, _u9024)), _u9025)) )).
% 12.28/12.47 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u9024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9024), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), hAPP(c_Finite__Set_Ofold1(_u9024, c_Orderings_Oord__class_Omin(_u9024)), _u9025)), _u9026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), skolem234(_u9026, _u9025, _u9024)), _u9026)) )).
% 12.28/12.47 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u9024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9024), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9024), _u9023), _u9025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), _u9023), _u9026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), hAPP(c_Finite__Set_Ofold1(_u9024, c_Orderings_Oord__class_Omin(_u9024)), _u9025)), _u9026)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), hAPP(c_Finite__Set_Ofold1(_u9029, c_Orderings_Oord__class_Omin(_u9029)), _u9030))) | ~hBOOL(hAPP(hAPP(c_member(_u9029), _u9027), _u9030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), _u9027)) )).
% 12.28/12.47 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), hAPP(c_Finite__Set_Ofold1(_u9029, c_Orderings_Oord__class_Omin(_u9029)), _u9030))) | hBOOL(hAPP(hAPP(c_member(_u9029), skolem235(_u9031, _u9030, _u9029)), _u9030)) )).
% 12.28/12.47 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), hAPP(c_Finite__Set_Ofold1(_u9029, c_Orderings_Oord__class_Omin(_u9029)), _u9030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), skolem235(_u9031, _u9030, _u9029))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9032), _u9033)) | ( _u9033 = c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9032, hAPP(hAPP(c_Set_Oinsert(_u9032), _u9034), _u9033)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9032), _u9034), c_Big__Operators_Olinorder__class_OMax(_u9032, _u9033))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u9035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9035), _u9036)) | ( _u9036 = c_Orderings_Obot__class_Obot(tc_fun(_u9035, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9035, hAPP(hAPP(c_Set_Oinsert(_u9035), _u9037), _u9036)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9035), _u9037), c_Big__Operators_Olinorder__class_OMin(_u9035, _u9036))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9038), _u9039)) | ( _u9040 = c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9038, tc_HOL_Obool)), _u9040), _u9039)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9038), c_Big__Operators_Olinorder__class_OMax(_u9038, _u9040)), c_Big__Operators_Olinorder__class_OMax(_u9038, _u9039)) = c_Big__Operators_Olinorder__class_OMax(_u9038, _u9039)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9041), _u9042)) | ( _u9043 = c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9041, tc_HOL_Obool)), _u9043), _u9042)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9041), c_Big__Operators_Olinorder__class_OMin(_u9041, _u9043)), c_Big__Operators_Olinorder__class_OMin(_u9041, _u9042)) = c_Big__Operators_Olinorder__class_OMin(_u9041, _u9042)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9044) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9045)) | ( _u9045 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9046)) | ( _u9046 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9044, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9044, tc_HOL_Obool)), _u9045), _u9046)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9044), c_Big__Operators_Olinorder__class_OMax(_u9044, _u9045)), c_Big__Operators_Olinorder__class_OMax(_u9044, _u9046))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u9047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9048)) | ( _u9048 = c_Orderings_Obot__class_Obot(tc_fun(_u9047, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9049)) | ( _u9049 = c_Orderings_Obot__class_Obot(tc_fun(_u9047, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9047), c_Big__Operators_Olinorder__class_OMin(_u9047, _u9048)), c_Big__Operators_Olinorder__class_OMin(_u9047, _u9049))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9051), _u9052)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9051, _u9050), _u9053), hAPP(hAPP(c_Set_Oinsert(_u9051), _u9054), _u9052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9050), hAPP(_u9053, _u9054)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9051, _u9050), _u9053), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9051, tc_HOL_Obool)), _u9052), hAPP(hAPP(c_Set_Oinsert(_u9051), _u9054), c_Orderings_Obot__class_Obot(tc_fun(_u9051, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9058)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058) != c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9056, _u9055), _u9059), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9055), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9056, _u9055), _u9059), _u9057)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9056, _u9055), _u9059), _u9058))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9061), _u9062)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9061), _u9063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063) != c_Orderings_Obot__class_Obot(tc_fun(_u9061, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9061, _u9060), _u9064), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9060), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9061, _u9060), _u9064), _u9062)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9061, _u9060), _u9064), _u9063))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9065) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9065), _u9066)) | hBOOL(hAPP(hAPP(c_member(_u9065), _u9067), _u9066)) | ( _u9066 = c_Orderings_Obot__class_Obot(tc_fun(_u9065, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9065, hAPP(hAPP(c_Set_Oinsert(_u9065), _u9067), _u9066)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9065), _u9067), c_Big__Operators_Olinorder__class_OMax(_u9065, _u9066))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9068), _u9069)) | hBOOL(hAPP(hAPP(c_member(_u9068), _u9070), _u9069)) | ( _u9069 = c_Orderings_Obot__class_Obot(tc_fun(_u9068, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9068, hAPP(hAPP(c_Set_Oinsert(_u9068), _u9070), _u9069)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9068), _u9070), c_Big__Operators_Olinorder__class_OMin(_u9068, _u9069))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u9071) | ( _u9072 = c_Orderings_Obot__class_Obot(tc_fun(_u9071, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9071), hAPP(c_Finite__Set_Ofold1(_u9071, c_Orderings_Oord__class_Omin(_u9071)), _u9073)), hAPP(c_Finite__Set_Ofold1(_u9071, c_Orderings_Oord__class_Omin(_u9071)), _u9072))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9074), _u9075)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9074, tc_HOL_Obool)), _u9075), hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9074, hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), _u9075)) = _u9076) )).
% 12.28/12.47 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9074), _u9075)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9074, tc_HOL_Obool)), _u9075), hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9074, hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), _u9075)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9074), _u9076), c_Big__Operators_Olinorder__class_OMax(_u9074, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9074, tc_HOL_Obool)), _u9075), hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9078)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9077, tc_HOL_Obool)), _u9078), _u9079) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9077), c_Big__Operators_Olinorder__class_OMax(_u9077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9077, tc_HOL_Obool)), _u9078), _u9079))), c_Big__Operators_Olinorder__class_OMax(_u9077, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9077, tc_HOL_Obool)), _u9078), _u9079))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9077), c_Big__Operators_Olinorder__class_OMax(_u9077, _u9078)), c_Big__Operators_Olinorder__class_OMax(_u9077, _u9079))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9080), _u9081)) | ( _u9081 = c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9080), _u9082)) | ( _u9082 = c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9080, tc_HOL_Obool)), _u9081), _u9082) != c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9080, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9080, tc_HOL_Obool)), _u9081), _u9082)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9080), c_Big__Operators_Olinorder__class_OMax(_u9080, _u9081)), c_Big__Operators_Olinorder__class_OMax(_u9080, _u9082))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9083), _u9084)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9083, tc_HOL_Obool)), _u9084), hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9083, hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), _u9084)) = _u9085) )).
% 12.28/12.47 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9083), _u9084)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9083, tc_HOL_Obool)), _u9084), hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9083, hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), _u9084)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9083), _u9085), c_Big__Operators_Olinorder__class_OMin(_u9083, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9083, tc_HOL_Obool)), _u9084), hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9086), _u9087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9086), _u9088)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9086, tc_HOL_Obool)), _u9087), _u9088) = c_Orderings_Obot__class_Obot(tc_fun(_u9086, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9086), c_Big__Operators_Olinorder__class_OMin(_u9086, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9086, tc_HOL_Obool)), _u9087), _u9088))), c_Big__Operators_Olinorder__class_OMin(_u9086, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9086, tc_HOL_Obool)), _u9087), _u9088))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9086), c_Big__Operators_Olinorder__class_OMin(_u9086, _u9087)), c_Big__Operators_Olinorder__class_OMin(_u9086, _u9088))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9089) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9089), _u9090)) | ( _u9090 = c_Orderings_Obot__class_Obot(tc_fun(_u9089, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9089), _u9091)) | ( _u9091 = c_Orderings_Obot__class_Obot(tc_fun(_u9089, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9089, tc_HOL_Obool)), _u9090), _u9091) != c_Orderings_Obot__class_Obot(tc_fun(_u9089, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9089, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9089, tc_HOL_Obool)), _u9090), _u9091)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9089), c_Big__Operators_Olinorder__class_OMin(_u9089, _u9090)), c_Big__Operators_Olinorder__class_OMin(_u9089, _u9091))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u9092) | ( c_Orderings_Oord_Omin(_u9092, hAPP(c_COMBC(_u9092, _u9092, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9092))) = c_Orderings_Oord__class_Omax(_u9092)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u9093) | ( c_Orderings_Oord_Omax(_u9093, hAPP(c_COMBC(_u9093, _u9093, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9093))) = c_Orderings_Oord__class_Omin(_u9093)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u9094) | ( c_Orderings_Oord__class_Omax(_u9094) = c_Orderings_Oord_Omax(_u9094, c_Orderings_Oord__class_Oless__eq(_u9094))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u9095) | ( c_Orderings_Oord__class_Omin(_u9095) = c_Orderings_Oord_Omin(_u9095, c_Orderings_Oord__class_Oless__eq(_u9095))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9096), _u9097)) | ( _u9097 = c_Orderings_Obot__class_Obot(tc_fun(_u9096, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9096), _u9098), c_Big__Operators_Olattice_OInf__fin(_u9096, c_Orderings_Oord__class_Omin(_u9096), _u9097)) = c_Big__Operators_Olattice_OInf__fin(_u9096, c_Orderings_Oord__class_Omin(_u9096), hAPP(c_Set_OCollect(_u9096), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_HOL_Obool), tc_HOL_Obool, _u9096), c_HOL_OEx(_u9096)), hAPP(hAPP(c_COMBC(_u9096, tc_fun(_u9096, tc_HOL_Obool), tc_fun(_u9096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9096, tc_HOL_Obool), tc_fun(_u9096, tc_HOL_Obool)), _u9096), c_COMBS(_u9096, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_HOL_Obool), tc_fun(_u9096, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9096), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9096), c_fconj)), hAPP(hAPP(c_COMBC(_u9096, tc_fun(_u9096, _u9096), tc_fun(_u9096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_HOL_Obool), tc_fun(tc_fun(_u9096, _u9096), tc_fun(_u9096, tc_HOL_Obool)), _u9096), c_COMBB(_u9096, tc_HOL_Obool, _u9096)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u9096), _u9098))))), hAPP(hAPP(c_COMBC(_u9096, tc_fun(_u9096, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9096)), _u9097)))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9099), _u9100)) | ~hBOOL(hAPP(hAPP(c_member(_u9099), _u9101), _u9100)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9099), _u9101), c_Big__Operators_Olattice_OInf__fin(_u9099, c_Orderings_Oord__class_Omin(_u9099), _u9100)) = c_Big__Operators_Olattice_OInf__fin(_u9099, c_Orderings_Oord__class_Omin(_u9099), _u9100)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9102) | ( c_Big__Operators_Olattice_OInf__fin(_u9102, c_Orderings_Oord__class_Omin(_u9102), hAPP(hAPP(c_Set_Oinsert(_u9102), _u9103), c_Orderings_Obot__class_Obot(tc_fun(_u9102, tc_HOL_Obool)))) = _u9103) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u9104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9104), _u9105)) | ( c_Big__Operators_Olattice_OInf__fin(_u9104, c_Orderings_Oord__class_Omin(_u9104), _u9105) = hAPP(c_Finite__Set_Ofold1(_u9104, c_Orderings_Oord__class_Omin(_u9104)), _u9105)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9106), _u9107)) | ( _u9107 = c_Orderings_Obot__class_Obot(tc_fun(_u9106, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9106, c_Orderings_Oord__class_Omin(_u9106), hAPP(hAPP(c_Set_Oinsert(_u9106), _u9108), _u9107)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9106), _u9108), c_Big__Operators_Olattice_OInf__fin(_u9106, c_Orderings_Oord__class_Omin(_u9106), _u9107))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9109), _u9110)) | ( _u9111 = c_Orderings_Obot__class_Obot(tc_fun(_u9109, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9109, tc_HOL_Obool)), _u9111), _u9110)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9109), c_Big__Operators_Olattice_OInf__fin(_u9109, c_Orderings_Oord__class_Omin(_u9109), _u9111)), c_Big__Operators_Olattice_OInf__fin(_u9109, c_Orderings_Oord__class_Omin(_u9109), _u9110)) = c_Big__Operators_Olattice_OInf__fin(_u9109, c_Orderings_Oord__class_Omin(_u9109), _u9110)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9112), _u9113)) | ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9114), _u9113)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9112), _u9114), c_Big__Operators_Olattice_OInf__fin(_u9112, c_Orderings_Oord__class_Omin(_u9112), _u9113)) = _u9114) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9115), _u9116)) | ( _u9116 = c_Orderings_Obot__class_Obot(tc_fun(_u9115, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9115), _u9117)) | ( _u9117 = c_Orderings_Obot__class_Obot(tc_fun(_u9115, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9115, c_Orderings_Oord__class_Omin(_u9115), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9115, tc_HOL_Obool)), _u9116), _u9117)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9115), c_Big__Operators_Olattice_OInf__fin(_u9115, c_Orderings_Oord__class_Omin(_u9115), _u9116)), c_Big__Operators_Olattice_OInf__fin(_u9115, c_Orderings_Oord__class_Omin(_u9115), _u9117))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9118), _u9119)) | hBOOL(hAPP(hAPP(c_member(_u9118), _u9120), _u9119)) | ( _u9119 = c_Orderings_Obot__class_Obot(tc_fun(_u9118, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9118, c_Orderings_Oord__class_Omin(_u9118), hAPP(hAPP(c_Set_Oinsert(_u9118), _u9120), _u9119)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9118), _u9120), c_Big__Operators_Olattice_OInf__fin(_u9118, c_Orderings_Oord__class_Omin(_u9118), _u9119))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9121), _u9122)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9121, c_Orderings_Oord__class_Omin(_u9121), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), _u9122)) = _u9123) )).
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9121), _u9122)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9121, c_Orderings_Oord__class_Omin(_u9121), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), _u9122)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9121), _u9123), c_Big__Operators_Olattice_OInf__fin(_u9121, c_Orderings_Oord__class_Omin(_u9121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9124), _u9125)) | ( _u9125 = c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9124), _u9126)) | ( _u9126 = c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9124, tc_HOL_Obool)), _u9125), _u9126) != c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9124, c_Orderings_Oord__class_Omin(_u9124), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9124, tc_HOL_Obool)), _u9125), _u9126)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9124), c_Big__Operators_Olattice_OInf__fin(_u9124, c_Orderings_Oord__class_Omin(_u9124), _u9125)), c_Big__Operators_Olattice_OInf__fin(_u9124, c_Orderings_Oord__class_Omin(_u9124), _u9126))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9127), _u9128)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9127), _u9129)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9127, tc_HOL_Obool)), _u9128), _u9129) = c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9127), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9127, tc_HOL_Obool)), _u9128), _u9129))), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9127, tc_HOL_Obool)), _u9128), _u9129))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9127), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), _u9128)), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), _u9129))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9130), _u9131)) | ~hBOOL(hAPP(hAPP(c_member(_u9130), _u9132), _u9131)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9130, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_Set_Oinsert(_u9130), _u9132), c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131) = _u9132) )).
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9130), _u9131)) | ~hBOOL(hAPP(hAPP(c_member(_u9130), _u9132), _u9131)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9130, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_Set_Oinsert(_u9130), _u9132), c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9130), _u9132), c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9130, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_Set_Oinsert(_u9130), _u9132), c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9134)) | ( _u9134 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9135)) | ( _u9135 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9133), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9134)), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9135)) = c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), hAPP(c_Set_OCollect(_u9133), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool, _u9133), c_HOL_OEx(_u9133)), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_HOL_Obool), _u9133), hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool, _u9133), c_HOL_OEx(_u9133))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool))), tc_fun(tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), _u9133), c_COMBS(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9133, tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool))), _u9133), hAPP(c_COMBB(tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), _u9133), c_COMBS(_u9133, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9133), hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9133), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9133), c_fconj))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_fun(_u9133, _u9133)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9133, _u9133), tc_fun(_u9133, tc_HOL_Obool)), tc_fun(tc_fun(_u9133, tc_fun(_u9133, _u9133)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), _u9133), c_COMBB(tc_fun(_u9133, _u9133), tc_fun(_u9133, tc_HOL_Obool), _u9133)), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_fun(tc_fun(_u9133, _u9133), tc_fun(_u9133, tc_HOL_Obool)), _u9133), c_COMBB(_u9133, tc_HOL_Obool, _u9133)), c_fequal))), c_Orderings_Oord__class_Omax(_u9133)))))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), _u9133), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9133)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9133), c_fconj), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9133)), _u9134)))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9133)), _u9135)))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Int_Oint), _u9139), _u9138) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9137), c_Int_Onat), _u9139)), _u9138))) | hBOOL(hAPP(hAPP(c_member(_u9137), skolem236(_u9139, _u9138, _u9137)), _u9138)) )).
% 12.28/12.47 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Int_Oint), _u9139), _u9138) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9137), c_Int_Onat), _u9139)), _u9138))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u9139, skolem236(_u9139, _u9138, _u9137))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9140), _u9141)) | ( _u9141 = c_Orderings_Obot__class_Obot(tc_fun(_u9140, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9140), _u9142)) | ( _u9142 = c_Orderings_Obot__class_Obot(tc_fun(_u9140, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9140), c_Big__Operators_Olattice_OSup__fin(_u9140, c_Orderings_Oord__class_Omax(_u9140), _u9141)), c_Big__Operators_Olattice_OSup__fin(_u9140, c_Orderings_Oord__class_Omax(_u9140), _u9142)) = c_Big__Operators_Olattice_OSup__fin(_u9140, c_Orderings_Oord__class_Omax(_u9140), hAPP(c_Set_OCollect(_u9140), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool, _u9140), c_HOL_OEx(_u9140)), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_HOL_Obool), _u9140), hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool, _u9140), c_HOL_OEx(_u9140))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool))), tc_fun(tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), _u9140), c_COMBS(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9140, tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool))), _u9140), hAPP(c_COMBB(tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool)), _u9140), c_COMBS(_u9140, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9140), hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9140), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9140), c_fconj))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_fun(_u9140, _u9140)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9140, _u9140), tc_fun(_u9140, tc_HOL_Obool)), tc_fun(tc_fun(_u9140, tc_fun(_u9140, _u9140)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), _u9140), c_COMBB(tc_fun(_u9140, _u9140), tc_fun(_u9140, tc_HOL_Obool), _u9140)), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_fun(tc_fun(_u9140, _u9140), tc_fun(_u9140, tc_HOL_Obool)), _u9140), c_COMBB(_u9140, tc_HOL_Obool, _u9140)), c_fequal))), c_Orderings_Oord__class_Omin(_u9140)))))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool)), _u9140), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9140)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9140), c_fconj), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9140)), _u9141)))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9140)), _u9142)))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u9143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9143), _u9144)) | ( _u9144 = c_Orderings_Obot__class_Obot(tc_fun(_u9143, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9143), _u9145), c_Big__Operators_Olattice_OSup__fin(_u9143, c_Orderings_Oord__class_Omax(_u9143), _u9144)) = c_Big__Operators_Olattice_OSup__fin(_u9143, c_Orderings_Oord__class_Omax(_u9143), hAPP(c_Set_OCollect(_u9143), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_HOL_Obool), tc_HOL_Obool, _u9143), c_HOL_OEx(_u9143)), hAPP(hAPP(c_COMBC(_u9143, tc_fun(_u9143, tc_HOL_Obool), tc_fun(_u9143, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9143, tc_HOL_Obool), tc_fun(_u9143, tc_HOL_Obool)), _u9143), c_COMBS(_u9143, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_HOL_Obool), tc_fun(_u9143, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9143), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9143), c_fconj)), hAPP(hAPP(c_COMBC(_u9143, tc_fun(_u9143, _u9143), tc_fun(_u9143, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_HOL_Obool), tc_fun(tc_fun(_u9143, _u9143), tc_fun(_u9143, tc_HOL_Obool)), _u9143), c_COMBB(_u9143, tc_HOL_Obool, _u9143)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u9143), _u9145))))), hAPP(hAPP(c_COMBC(_u9143, tc_fun(_u9143, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9143)), _u9144)))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9148), _u9149)) | ( _u9149 = c_Orderings_Obot__class_Obot(tc_fun(_u9148, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9148), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9148), skolem237(_u9149, _u9148)), skolem238(_u9149, _u9148))), hAPP(hAPP(c_Set_Oinsert(_u9148), skolem237(_u9149, _u9148)), hAPP(hAPP(c_Set_Oinsert(_u9148), skolem238(_u9149, _u9148)), c_Orderings_Obot__class_Obot(tc_fun(_u9148, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9148), c_Big__Operators_Olattice_OInf__fin(_u9148, c_Orderings_Oord__class_Omin(_u9148), _u9149)), _u9149)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9150), _u9151)) | ~hBOOL(hAPP(hAPP(c_member(_u9150), _u9152), _u9151)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9150), _u9152), c_Big__Operators_Olattice_OSup__fin(_u9150, c_Orderings_Oord__class_Omax(_u9150), _u9151)) = c_Big__Operators_Olattice_OSup__fin(_u9150, c_Orderings_Oord__class_Omax(_u9150), _u9151)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u9153) | ( c_Big__Operators_Olattice_OSup__fin(_u9153, c_Orderings_Oord__class_Omax(_u9153), hAPP(hAPP(c_Set_Oinsert(_u9153), _u9154), c_Orderings_Obot__class_Obot(tc_fun(_u9153, tc_HOL_Obool)))) = _u9154) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u9155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9155), _u9156)) | ( c_Big__Operators_Olattice_OSup__fin(_u9155, c_Orderings_Oord__class_Omax(_u9155), _u9156) = hAPP(c_Finite__Set_Ofold1(_u9155, c_Orderings_Oord__class_Omax(_u9155)), _u9156)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9157), _u9158)) | ( _u9158 = c_Orderings_Obot__class_Obot(tc_fun(_u9157, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), hAPP(hAPP(c_Set_Oinsert(_u9157), _u9159), _u9158)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9157), _u9159), c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9158))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9160) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9160), _u9161)) | ( _u9162 = c_Orderings_Obot__class_Obot(tc_fun(_u9160, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9160, tc_HOL_Obool)), _u9162), _u9161)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9160), c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9162)), c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9161)) = c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9161)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u9163) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9163), _u9164)) | ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9165), _u9164)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9163), _u9165), c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), _u9164)) = _u9165) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | ( _u9167 = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9168)) | ( _u9168 = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9166, tc_HOL_Obool)), _u9167), _u9168)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9166), c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), _u9167)), c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), _u9168))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | hBOOL(hAPP(hAPP(c_member(_u9169), _u9171), _u9170)) | ( _u9170 = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), _u9170)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9169), _u9171), c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), _u9170))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9172, tc_HOL_Obool)), _u9173), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), _u9173)) = _u9174) )).
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9172, tc_HOL_Obool)), _u9173), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), _u9173)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9172), _u9174), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9172, tc_HOL_Obool)), _u9173), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u9175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9176)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9177)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177) = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9175), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177))), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9175), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9176)), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9177))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u9178) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9178), _u9179)) | ( _u9179 = c_Orderings_Obot__class_Obot(tc_fun(_u9178, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9178), _u9180)) | ( _u9180 = c_Orderings_Obot__class_Obot(tc_fun(_u9178, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9178, tc_HOL_Obool)), _u9179), _u9180) != c_Orderings_Obot__class_Obot(tc_fun(_u9178, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9178, c_Orderings_Oord__class_Omax(_u9178), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9178, tc_HOL_Obool)), _u9179), _u9180)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9178), c_Big__Operators_Olattice_OSup__fin(_u9178, c_Orderings_Oord__class_Omax(_u9178), _u9179)), c_Big__Operators_Olattice_OSup__fin(_u9178, c_Orderings_Oord__class_Omax(_u9178), _u9180))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u9181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9181), _u9182)) | ~hBOOL(hAPP(hAPP(c_member(_u9181), _u9183), _u9182)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9181, tc_HOL_Obool)), _u9182), hAPP(hAPP(c_Set_Oinsert(_u9181), _u9183), c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9181, c_Orderings_Oord__class_Omax(_u9181), _u9182) = _u9183) )).
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u9181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9181), _u9182)) | ~hBOOL(hAPP(hAPP(c_member(_u9181), _u9183), _u9182)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9181, tc_HOL_Obool)), _u9182), hAPP(hAPP(c_Set_Oinsert(_u9181), _u9183), c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9181, c_Orderings_Oord__class_Omax(_u9181), _u9182) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9181), _u9183), c_Big__Operators_Olattice_OSup__fin(_u9181, c_Orderings_Oord__class_Omax(_u9181), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9181, tc_HOL_Obool)), _u9182), hAPP(hAPP(c_Set_Oinsert(_u9181), _u9183), c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool))))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u9184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9184), _u9185)) | ( _u9185 = c_Orderings_Obot__class_Obot(tc_fun(_u9184, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9184), c_Big__Operators_Olattice_OInf__fin(_u9184, c_Orderings_Oord__class_Omin(_u9184), _u9185)), c_Big__Operators_Olattice_OSup__fin(_u9184, c_Orderings_Oord__class_Omax(_u9184), _u9185))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9188) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9188), _u9189)) | ( _u9189 = c_Orderings_Obot__class_Obot(tc_fun(_u9188, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9188), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9188), skolem239(_u9189, _u9188)), skolem240(_u9189, _u9188))), hAPP(hAPP(c_Set_Oinsert(_u9188), skolem239(_u9189, _u9188)), hAPP(hAPP(c_Set_Oinsert(_u9188), skolem240(_u9189, _u9188)), c_Orderings_Obot__class_Obot(tc_fun(_u9188, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9188), c_Big__Operators_Olattice_OSup__fin(_u9188, c_Orderings_Oord__class_Omax(_u9188), _u9189)), _u9189)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9192), _u9193)) | ( _u9193 = c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9192), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9192), skolem241(_u9193, _u9192)), skolem242(_u9193, _u9192))), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem241(_u9193, _u9192)), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem242(_u9193, _u9192)), c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9192), c_Big__Operators_Olinorder__class_OMax(_u9192, _u9193)), _u9193)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u9196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9196), _u9197)) | ( _u9197 = c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9196), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9196), skolem243(_u9197, _u9196)), skolem244(_u9197, _u9196))), hAPP(hAPP(c_Set_Oinsert(_u9196), skolem243(_u9197, _u9196)), hAPP(hAPP(c_Set_Oinsert(_u9196), skolem244(_u9197, _u9196)), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9196), c_Big__Operators_Olinorder__class_OMin(_u9196, _u9197)), _u9197)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9200, tc_HOL_Obool)), _u9201), _u9202)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9199), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9202))) | hBOOL(hAPP(hAPP(c_member(_u9200), skolem245(_u9203, _u9202, _u9201, _u9200, _u9199)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9200, tc_HOL_Obool)), _u9201), _u9202))) )).
% 12.28/12.47 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9200, tc_HOL_Obool)), _u9201), _u9202)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9199), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9202))) | ( hAPP(_u9203, skolem245(_u9203, _u9202, _u9201, _u9200, _u9199)) != c_Groups_Oone__class_Oone(_u9199)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9207)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9208)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9206, tc_HOL_Obool)), _u9207), _u9208)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9205), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9207)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9208))) | hBOOL(hAPP(hAPP(c_member(_u9206), skolem246(_u9209, _u9208, _u9207, _u9206, _u9205)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9206, tc_HOL_Obool)), _u9207), _u9208))) )).
% 12.28/12.47 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9207)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9208)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9206, tc_HOL_Obool)), _u9207), _u9208)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9205), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9207)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9208))) | ( hAPP(_u9209, skolem246(_u9209, _u9208, _u9207, _u9206, _u9205)) != c_Groups_Oone__class_Oone(_u9205)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9211), _u9212)) | ~hBOOL(hAPP(hAPP(c_member(_u9211), _u9213), _u9212)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9211, _u9210), hAPP(hAPP(c_COMBC(_u9211, _u9210, _u9210), hAPP(hAPP(c_COMBS(_u9211, _u9210, tc_fun(_u9210, _u9210)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9210, tc_fun(_u9210, _u9210)), _u9211), c_If(_u9210)), hAPP(hAPP(c_COMBC(_u9211, _u9211, tc_HOL_Obool), c_fequal), _u9213))), _u9214)), _u9215)), _u9212) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9210), hAPP(_u9214, _u9213)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9210), _u9215), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9211), _u9212)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.28/12.47 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9211), _u9212)) | hBOOL(hAPP(hAPP(c_member(_u9211), _u9213), _u9212)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9211, _u9210), hAPP(hAPP(c_COMBC(_u9211, _u9210, _u9210), hAPP(hAPP(c_COMBS(_u9211, _u9210, tc_fun(_u9210, _u9210)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9210, tc_fun(_u9210, _u9210)), _u9211), c_If(_u9210)), hAPP(hAPP(c_COMBC(_u9211, _u9211, tc_HOL_Obool), c_fequal), _u9213))), _u9214)), _u9215)), _u9212) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9210), _u9215), hAPP(c_Finite__Set_Ocard(_u9211), _u9212))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u9216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9217), _u9218)) | ( hAPP(_u9219, _u9220) = c_Groups_Ozero__class_Ozero(_u9216)) | ~hBOOL(hAPP(hAPP(c_member(_u9217), _u9220), _u9218)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9217, tc_HOL_Obool)), _u9218), hAPP(hAPP(c_Set_Oinsert(_u9217), _u9220), c_Orderings_Obot__class_Obot(tc_fun(_u9217, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9216), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), _u9218)), hAPP(_u9219, _u9220))) )).
% 12.28/12.47 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u9216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9217), _u9218)) | ( hAPP(_u9219, _u9220) = c_Groups_Ozero__class_Ozero(_u9216)) | hBOOL(hAPP(hAPP(c_member(_u9217), _u9220), _u9218)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9217, tc_HOL_Obool)), _u9218), hAPP(hAPP(c_Set_Oinsert(_u9217), _u9220), c_Orderings_Obot__class_Obot(tc_fun(_u9217, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), _u9218)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9223) | ( hAPP(_u9224, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), skolem247(_u9225, _u9224, _u9223)), skolem248(_u9225, _u9224, _u9223))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), hAPP(_u9224, skolem247(_u9225, _u9224, _u9223))), hAPP(_u9224, skolem248(_u9225, _u9224, _u9223)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9223), _u9225)) | ( _u9225 = c_Orderings_Obot__class_Obot(tc_fun(_u9223, tc_HOL_Obool))) | ( hAPP(_u9224, c_Big__Operators_Olattice_OSup__fin(_u9223, c_Orderings_Oord__class_Omax(_u9223), _u9225)) = c_Big__Operators_Olattice_OSup__fin(_u9223, c_Orderings_Oord__class_Omax(_u9223), hAPP(c_Set_Oimage(_u9223, _u9223, _u9224), _u9225))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9226) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9226), _u9227)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u9228) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9228), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9229), _u9230)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9228), hAPP(c_Int_Oring__1__class_Oof__int(_u9228), _u9229)), _u9230)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9231) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9231), _u9232), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u9232) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9233), _u9234)), _u9235) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9233), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9234), _u9235))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u9236) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9236), _u9237), c_Groups_Ozero__class_Ozero(_u9236)) = c_Groups_Ozero__class_Ozero(_u9236)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u9238) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9238), c_Groups_Ozero__class_Ozero(_u9238)), _u9239) = c_Groups_Ozero__class_Ozero(_u9238)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u9240) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9240), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9240), _u9241), _u9242)), _u9243) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9240), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9240), _u9241), _u9243)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9240), _u9242), _u9243))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u9244) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9244), _u9245), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9244), _u9246), _u9247)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9244), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9244), _u9245), _u9246)), _u9247)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u9248) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9248), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9248), _u9249), _u9250)), _u9251) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9248), _u9249), _u9251)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9248), _u9250), _u9251))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9252) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9252), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9252), _u9253), _u9254)), _u9255) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9252), hAPP(hAPP(c_Power_Opower__class_Opower(_u9252), _u9253), _u9255)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9252), _u9254), _u9255))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u9256) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9256), _u9257), c_Groups_Oone__class_Oone(_u9256)) = _u9257) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u9258) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9258), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9258), _u9259), _u9260)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9258), hAPP(c_Groups_Ouminus__class_Ouminus(_u9258), _u9259)), _u9260)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_int__power ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9261), _u9262)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9261)), _u9262)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9263)), _u9264) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9263), _u9264))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9265)), _u9266) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9265), _u9266))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9267) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9267), hAPP(hAPP(c_Power_Opower__class_Opower(_u9267), _u9268), _u9269)), _u9270) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9267), _u9268), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9269), _u9270))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9271)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9271)), _u9272) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9271), _u9272))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9273)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9273), _u9274)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9273)), _u9274)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u9275) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9275), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9276, _u9275), _u9277), _u9278)), _u9279) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9276, _u9275), hAPP(hAPP(c_COMBC(_u9276, _u9275, _u9275), hAPP(hAPP(c_COMBB(_u9275, tc_fun(_u9275, _u9275), _u9276), c_Rings_Oinverse__class_Odivide(_u9275)), _u9277)), _u9279)), _u9278)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u9280) | ( _u9281 = c_Groups_Ozero__class_Ozero(_u9280)) | ( _u9282 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9280), _u9283), _u9281)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9280), _u9282), _u9281) = _u9283) )).
% 12.28/12.47 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u9280) | ( _u9281 = c_Groups_Ozero__class_Ozero(_u9280)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9280), _u9282), _u9281) != _u9283) | ( _u9282 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9280), _u9283), _u9281)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u9284) | ( _u9285 = c_Groups_Ozero__class_Ozero(_u9284)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9284), _u9286), _u9285) != _u9287) | ( _u9286 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9284), _u9287), _u9285)) )).
% 12.28/12.47 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u9284) | ( _u9285 = c_Groups_Ozero__class_Ozero(_u9284)) | ( _u9286 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9284), _u9287), _u9285)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9284), _u9286), _u9285) = _u9287) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u9288) | ( _u9289 = c_Groups_Ozero__class_Ozero(_u9288)) | ( _u9290 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9288), _u9291), _u9289)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9288), _u9290), _u9289) = _u9291) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u9292) | ( _u9293 = c_Groups_Ozero__class_Ozero(_u9292)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9292), _u9294), _u9293) != _u9295) | ( _u9294 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9292), _u9295), _u9293)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u9296) | ( _u9297 != c_Groups_Ozero__class_Ozero(_u9296)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9296), _u9297), _u9297) = c_Groups_Ozero__class_Ozero(_u9296)) )).
% 12.28/12.47 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u9296) | ( _u9297 = c_Groups_Ozero__class_Ozero(_u9296)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9296), _u9297), _u9297) = c_Groups_Oone__class_Oone(_u9296)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u9298) | ( _u9299 = c_Groups_Ozero__class_Ozero(_u9298)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9298), _u9299), _u9299) = c_Groups_Oone__class_Oone(_u9298)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u9300) | ( _u9301 = c_Groups_Ozero__class_Ozero(_u9300)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9300), _u9302), _u9301) != c_Groups_Oone__class_Oone(_u9300)) | ( _u9302 = _u9301) )).
% 12.28/12.47 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u9300) | ( _u9301 = c_Groups_Ozero__class_Ozero(_u9300)) | ( _u9302 != _u9301) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9300), _u9302), _u9301) = c_Groups_Oone__class_Oone(_u9300)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u9303) | ( _u9304 = c_Groups_Ozero__class_Ozero(_u9303)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9303), _u9305), _u9304)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9303), _u9305), hAPP(c_Groups_Ouminus__class_Ouminus(_u9303), _u9304))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u9306) | ( _u9307 = c_Groups_Ozero__class_Ozero(_u9306)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9306), hAPP(c_Groups_Ouminus__class_Ouminus(_u9306), _u9308)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9306), _u9307)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9306), _u9308), _u9307)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9309), hAPP(hAPP(c_Power_Opower__class_Opower(_u9309), _u9310), _u9311)), _u9310) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9309), _u9310), hAPP(c_Nat_OSuc, _u9311))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9312) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9312), _u9313), hAPP(hAPP(c_Power_Opower__class_Opower(_u9312), _u9313), _u9314)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9312), _u9313), hAPP(c_Nat_OSuc, _u9314))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9315) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9315), _u9316), hAPP(c_Nat_OSuc, _u9317)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9315), _u9316), hAPP(hAPP(c_Power_Opower__class_Opower(_u9315), _u9316), _u9317))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9318) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9318), _u9319), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u9318)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u9320) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9320), hAPP(hAPP(c_Power_Opower__class_Opower(_u9320), _u9321), _u9322)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9320), _u9321), _u9323)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9320), _u9321), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9322), _u9323))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9324)) | 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), _u9324), _u9325))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9327), _u9328)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9326), _u9327)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9326), _u9328))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u9329) | ~hBOOL(hAPP(hAPP(c_member(_u9329), _u9330), c_Int_Oring__1__class_OInts(_u9329))) | hBOOL(hAPP(hAPP(c_member(_u9329), hAPP(hAPP(c_Power_Opower__class_Opower(_u9329), _u9330), _u9331)), c_Int_Oring__1__class_OInts(_u9329))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9333), _u9334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9333, _u9332), hAPP(hAPP(c_COMBS(_u9333, _u9332, _u9332), hAPP(hAPP(c_COMBB(_u9332, tc_fun(_u9332, _u9332), _u9333), c_Rings_Oinverse__class_Odivide(_u9332)), _u9335)), _u9336)), _u9334) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9332), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9333, _u9332), _u9335), _u9334)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9333, _u9332), _u9336), _u9334))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u9337) | ( _u9338 = c_Groups_Oone__class_Oone(_u9337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9337), hAPP(c_Power_Opower__class_Opower(_u9337), _u9338)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9339)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9337), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9337), hAPP(hAPP(c_Power_Opower__class_Opower(_u9337), _u9338), _u9339)), c_Groups_Oone__class_Oone(_u9337))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9337), _u9338), c_Groups_Oone__class_Oone(_u9337)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9340)), _u9341))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9343), _u9344)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9343, _u9342), hAPP(c_COMBK(_u9342, _u9343), _u9345)), _u9344) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9342), _u9345), hAPP(c_Finite__Set_Ocard(_u9343), _u9344))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__eq__if-1, axiom, ( ( _u9348 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9350), _u9348) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_power__eq__if-2, axiom, ( ( _u9349 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9351), _u9349) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9351), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9351), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9349), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9354)), _u9356))) | ( _u9354 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9356 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 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), _u9355)), _u9357))) | ( _u9355 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47 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), _u9355)), _u9357))) | ( _u9357 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9358), _u9359)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u9358, tc_HOL_Obool)), hAPP(c_Set_OPow(_u9358), _u9359)) = 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(_u9358), _u9359))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9360), _u9361), _u9362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9360), c_Groups_Ozero__class_Ozero(_u9360)), _u9361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9360), hAPP(hAPP(c_Power_Opower__class_Opower(_u9360), _u9361), _u9363)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9360), _u9362), _u9363))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u9364) | ( _u9365 = c_Groups_Ozero__class_Ozero(_u9364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9366), _u9367)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9367), _u9366)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9364), hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9365), _u9367)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9365), _u9366))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9368), c_Groups_Oone__class_Oone(_u9368)), _u9369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9368), c_Groups_Oone__class_Oone(_u9368)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9368), _u9369), _u9370))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9371), c_Groups_Oone__class_Oone(_u9371)), _u9372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9371), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9373)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9374))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9373), _u9374)) )).
% 12.28/12.47 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u9371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9371), c_Groups_Oone__class_Oone(_u9371)), _u9372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9373), _u9374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9371), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9373)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9374))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u9375) | ( _u9376 = c_Groups_Ozero__class_Ozero(_u9375)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9375), _u9376), _u9377) != c_Groups_Ozero__class_Ozero(_u9375)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.28/12.47 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))), _u9378) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9381), _u9383) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9383 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9381 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.47 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9382), _u9384) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9384 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9382), _u9384) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9382 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9385)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9385), _u9386)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9385), _u9387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9386), _u9387)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9390), _u9392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9390)) | ( _u9392 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 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), _u9391), _u9393))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9391)) )).
% 12.28/12.47 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), _u9391), _u9393))) | ( _u9393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9394) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9394), _u9395), _u9396)), _u9397) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9394), hAPP(hAPP(c_Power_Opower__class_Opower(_u9394), _u9395), _u9397)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9394), _u9396), _u9397))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u9398) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9398), hAPP(hAPP(c_Power_Opower__class_Opower(_u9398), _u9399), _u9400)), _u9399) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9398), _u9399), hAPP(hAPP(c_Power_Opower__class_Opower(_u9398), _u9399), _u9400))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u9401) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9401), c_Groups_Oone__class_Oone(_u9401)), _u9402) = c_Groups_Oone__class_Oone(_u9401)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u9403) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9403), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9404), _u9405)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9403), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9403), _u9404)), _u9405)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u9406) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9406), _u9407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9408), _u9409)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9406), hAPP(hAPP(c_Power_Opower__class_Opower(_u9406), _u9407), _u9408)), _u9409)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9410) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9410), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9410), _u9411), _u9412)), _u9413) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9410), hAPP(hAPP(c_Power_Opower__class_Opower(_u9410), _u9411), _u9413)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9410), _u9412), _u9413))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u9414) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9414), hAPP(hAPP(c_Power_Opower__class_Opower(_u9414), _u9415), _u9416)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9414), hAPP(c_Groups_Oabs__class_Oabs(_u9414), _u9415)), _u9416)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u9417) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9417), _u9418), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u9418) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9419), c_Groups_Ozero__class_Ozero(_u9419)), _u9420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9419), c_Groups_Ozero__class_Ozero(_u9419)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9419), _u9420), _u9421))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), _u9423), _u9424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), c_Groups_Ozero__class_Ozero(_u9422)), _u9423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), hAPP(hAPP(c_Power_Opower__class_Opower(_u9422), _u9423), _u9425)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9422), _u9424), _u9425))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9426), c_Groups_Ozero__class_Ozero(_u9426)), _u9427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9426), c_Groups_Ozero__class_Ozero(_u9426)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9426), _u9427), _u9428))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u9429) | ~class_Rings_Omult__zero(_u9429) | ~class_Rings_Ono__zero__divisors(_u9429) | ~class_Rings_Ozero__neq__one(_u9429) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9429), _u9430), _u9431) != c_Groups_Ozero__class_Ozero(_u9429)) | ( _u9430 = c_Groups_Ozero__class_Ozero(_u9429)) )).
% 12.28/12.47 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u9429) | ~class_Rings_Omult__zero(_u9429) | ~class_Rings_Ono__zero__divisors(_u9429) | ~class_Rings_Ozero__neq__one(_u9429) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9429), _u9430), _u9431) != c_Groups_Ozero__class_Ozero(_u9429)) | ( _u9431 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u9429) | ~class_Rings_Omult__zero(_u9429) | ~class_Rings_Ono__zero__divisors(_u9429) | ~class_Rings_Ozero__neq__one(_u9429) | ( _u9430 != c_Groups_Ozero__class_Ozero(_u9429)) | ( _u9431 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9429), _u9430), _u9431) = c_Groups_Ozero__class_Ozero(_u9429)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9432), c_Groups_Oone__class_Oone(_u9432)), _u9433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9432), c_Groups_Oone__class_Oone(_u9432)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9432), _u9433), _u9434))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u9435) | ~class_Rings_Osemiring__0(_u9435) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9435), c_Groups_Ozero__class_Ozero(_u9435)), hAPP(c_Nat_OSuc, _u9436)) = c_Groups_Ozero__class_Ozero(_u9435)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9437) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9437), c_Groups_Oone__class_Oone(_u9437)), _u9438)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9439) != hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9440)) | ( _u9439 = _u9440) )).
% 12.28/12.47 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u9437) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9437), c_Groups_Oone__class_Oone(_u9437)), _u9438)) | ( _u9439 != _u9440) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9439) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9440)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u9441) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9441), _u9442), hAPP(c_Nat_OSuc, _u9443)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9441), _u9442), hAPP(hAPP(c_Power_Opower__class_Opower(_u9441), _u9442), _u9443))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u9444) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9444), _u9445), hAPP(c_Nat_OSuc, _u9446)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9444), hAPP(hAPP(c_Power_Opower__class_Opower(_u9444), _u9445), _u9446)), _u9445)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.28/12.47 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))), _u9447)) | 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), _u9447), _u9448))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u9449) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9449), _u9450), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u9449)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u9451) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9451), _u9452), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9453), _u9454)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9451), hAPP(hAPP(c_Power_Opower__class_Opower(_u9451), _u9452), _u9453)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9451), _u9452), _u9454))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u9455) | ( _u9456 = c_Groups_Ozero__class_Ozero(_u9455)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9455), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9455), _u9457), _u9456)), _u9458) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9455), hAPP(hAPP(c_Power_Opower__class_Opower(_u9455), _u9457), _u9458)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9455), _u9456), _u9458))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9459), c_Groups_Oone__class_Oone(_u9459)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9459), _u9460), _u9461)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9459), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9459), c_Groups_Oone__class_Oone(_u9459)), _u9460)), _u9461)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u9462) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9462), hAPP(hAPP(c_Power_Opower__class_Opower(_u9462), hAPP(c_Groups_Ouminus__class_Ouminus(_u9462), _u9463)), _u9464)) = hAPP(c_Groups_Oabs__class_Oabs(_u9462), hAPP(hAPP(c_Power_Opower__class_Opower(_u9462), _u9463), _u9464))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9465), hAPP(hAPP(c_Power_Opower__class_Opower(_u9465), _u9466), _u9467)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9465), _u9468), _u9467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9465), c_Groups_Ozero__class_Ozero(_u9465)), _u9468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9465), _u9466), _u9468)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9469) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9469), _u9470), hAPP(c_Nat_OSuc, _u9471)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u9469), _u9472), hAPP(c_Nat_OSuc, _u9471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9469), c_Groups_Ozero__class_Ozero(_u9469)), _u9470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9469), c_Groups_Ozero__class_Ozero(_u9469)), _u9472)) | ( _u9470 = _u9472) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9473), hAPP(hAPP(c_Power_Opower__class_Opower(_u9473), _u9474), hAPP(c_Nat_OSuc, _u9475))), hAPP(hAPP(c_Power_Opower__class_Opower(_u9473), _u9476), hAPP(c_Nat_OSuc, _u9475)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9473), c_Groups_Ozero__class_Ozero(_u9473)), _u9476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9473), _u9474), _u9476)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9477), c_Groups_Oone__class_Oone(_u9477)), _u9478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9477), hAPP(hAPP(c_Power_Opower__class_Opower(_u9477), _u9478), _u9479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9477), _u9478), hAPP(hAPP(c_Power_Opower__class_Opower(_u9477), _u9478), _u9479)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9480), c_Groups_Oone__class_Oone(_u9480)), _u9481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9480), c_Groups_Oone__class_Oone(_u9480)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9480), _u9481), hAPP(hAPP(c_Power_Opower__class_Opower(_u9480), _u9481), _u9482)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u9483) | ~class_Rings_Osemiring__0(_u9483) | ( _u9484 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9483), c_Groups_Ozero__class_Ozero(_u9483)), _u9484) = c_Groups_Oone__class_Oone(_u9483)) )).
% 12.28/12.47 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u9483) | ~class_Rings_Osemiring__0(_u9483) | ( _u9484 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9483), c_Groups_Ozero__class_Ozero(_u9483)), _u9484) = c_Groups_Ozero__class_Ozero(_u9483)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9485), c_Groups_Oone__class_Oone(_u9485)), _u9486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9485), c_Groups_Oone__class_Oone(_u9485)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9485), _u9486), hAPP(c_Nat_OSuc, _u9487)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), c_Groups_Oone__class_Oone(_u9488)), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9490)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9491))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9490), _u9491)) )).
% 12.28/12.47 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u9488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), c_Groups_Oone__class_Oone(_u9488)), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9490), _u9491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9490)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9491))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9492), c_Groups_Oone__class_Oone(_u9492)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9492), hAPP(hAPP(c_Power_Opower__class_Opower(_u9492), _u9493), _u9494)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9492), _u9493), _u9495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9494), _u9495)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9497), _u9498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9496), c_Groups_Oone__class_Oone(_u9496)), _u9499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9496), hAPP(hAPP(c_Power_Opower__class_Opower(_u9496), _u9499), _u9497)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9496), _u9499), _u9498))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u9500) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9500), c_Groups_Ozero__class_Ozero(_u9500)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9500), hAPP(c_Groups_Oabs__class_Oabs(_u9500), _u9501)), _u9502))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9504), _u9505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9503), c_Groups_Oone__class_Oone(_u9503)), _u9506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9503), hAPP(hAPP(c_Power_Opower__class_Opower(_u9503), _u9506), _u9504)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9503), _u9506), _u9505))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u9507) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9507), hAPP(c_Groups_Ouminus__class_Ouminus(_u9507), _u9508)), _u9509) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9507), hAPP(hAPP(c_Power_Opower__class_Opower(_u9507), hAPP(c_Groups_Ouminus__class_Ouminus(_u9507), c_Groups_Oone__class_Oone(_u9507))), _u9509)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9507), _u9508), _u9509))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9510), c_Groups_Ozero__class_Ozero(_u9510)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9510), _u9511), c_Groups_Oone__class_Oone(_u9510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9510), _u9511), hAPP(hAPP(c_Power_Opower__class_Opower(_u9510), _u9511), _u9512))), hAPP(hAPP(c_Power_Opower__class_Opower(_u9510), _u9511), _u9512))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9513) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9513), _u9514), _u9515) != hAPP(hAPP(c_Power_Opower__class_Opower(_u9513), _u9516), _u9515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9513), c_Groups_Ozero__class_Ozero(_u9513)), _u9514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9513), c_Groups_Ozero__class_Ozero(_u9513)), _u9516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9515)) | ( _u9514 = _u9516) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9517), c_Groups_Ozero__class_Ozero(_u9517)), _u9518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9517), _u9518), c_Groups_Oone__class_Oone(_u9517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9517), hAPP(hAPP(c_Power_Opower__class_Opower(_u9517), _u9518), hAPP(c_Nat_OSuc, _u9519))), c_Groups_Oone__class_Oone(_u9517))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9521), _u9522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9520), c_Groups_Ozero__class_Ozero(_u9520)), _u9523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9520), _u9523), c_Groups_Oone__class_Oone(_u9520))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9520), hAPP(hAPP(c_Power_Opower__class_Opower(_u9520), _u9523), _u9522)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9520), _u9523), _u9521))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9525), _u9526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), c_Groups_Ozero__class_Ozero(_u9524)), _u9527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), _u9527), c_Groups_Oone__class_Oone(_u9524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9527), _u9526)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9527), _u9525))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u9528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9528), c_Groups_Oone__class_Oone(_u9528)), _u9529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9528), hAPP(hAPP(c_Power_Opower__class_Opower(_u9528), _u9529), _u9530)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9528), _u9529), _u9531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9530), _u9531)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) )).
% 12.28/12.47 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) )).
% 12.28/12.47 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) )).
% 12.28/12.47 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) )).
% 12.28/12.47 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.28/12.47 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.28/12.47 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) )).
% 12.28/12.47 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.28/12.47 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) )).
% 12.28/12.47 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.28/12.47 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) )).
% 12.28/12.47 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9540), c_Groups_Ozero__class_Ozero(_u9540)), _u9541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), _u9542), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9540), _u9543), _u9541))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9540), _u9542), _u9541)), _u9543)) )).
% 12.28/12.47 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9540), c_Groups_Ozero__class_Ozero(_u9540)), _u9541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9540), _u9542), _u9541)), _u9543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), _u9542), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9540), _u9543), _u9541))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9544), c_Groups_Ozero__class_Ozero(_u9544)), _u9545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9544), _u9546), _u9545)), _u9547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), _u9546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9544), _u9547), _u9545))) )).
% 12.28/12.47 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9544), c_Groups_Ozero__class_Ozero(_u9544)), _u9545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), _u9546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9544), _u9547), _u9545))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9544), _u9546), _u9545)), _u9547)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9548) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9548), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9548), _u9549), _u9550)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9548), _u9551), _u9552)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9548), _u9549), _u9551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9548), _u9550), _u9552))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9553) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9553), hAPP(c_Groups_Ouminus__class_Ouminus(_u9553), _u9554)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9553), _u9555)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9553), _u9554), _u9555)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9556) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9556), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9556), _u9557), _u9558)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9556), _u9557), hAPP(c_Groups_Ouminus__class_Ouminus(_u9556), _u9558))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9559) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9559), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9559), _u9560), _u9561)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9559), hAPP(c_Groups_Oabs__class_Oabs(_u9559), _u9560)), hAPP(c_Groups_Oabs__class_Oabs(_u9559), _u9561))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9562), _u9563), _u9564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9562), _u9565), c_Groups_Ozero__class_Ozero(_u9562))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9562), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9562), _u9564), _u9565)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9562), _u9563), _u9565))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9566), _u9567), _u9568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9566), c_Groups_Ozero__class_Ozero(_u9566)), _u9569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9566), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9566), _u9567), _u9569)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9566), _u9568), _u9569))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9571), c_Groups_Ozero__class_Ozero(_u9570))) )).
% 12.28/12.47 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9572)) )).
% 12.28/12.47 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9572), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9571), c_Groups_Ozero__class_Ozero(_u9570))) )).
% 12.28/12.47 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9572), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9572)) )).
% 12.28/12.47 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9572), c_Groups_Ozero__class_Ozero(_u9570))) )).
% 12.28/12.47 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9571), c_Groups_Ozero__class_Ozero(_u9570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9572)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9574), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.28/12.47 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9575), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.28/12.47 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9574), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.28/12.47 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9575), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.28/12.47 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9575)) )).
% 12.28/12.47 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9574), c_Groups_Ozero__class_Ozero(_u9573))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9575), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u9576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9577), _u9578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9579), c_Groups_Ozero__class_Ozero(_u9576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9576), _u9578), _u9579)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9576), _u9577), _u9579))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u9580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9580), _u9581), _u9582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9580), c_Groups_Ozero__class_Ozero(_u9580)), _u9583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9580), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9580), _u9581), _u9583)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9580), _u9582), _u9583))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u9584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9584), _u9585), c_Groups_Ozero__class_Ozero(_u9584))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9584), _u9586), c_Groups_Ozero__class_Ozero(_u9584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9584), c_Groups_Ozero__class_Ozero(_u9584)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9584), _u9585), _u9586))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u9587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9587), _u9588), c_Groups_Ozero__class_Ozero(_u9587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9587), c_Groups_Ozero__class_Ozero(_u9587)), _u9589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9587), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9587), _u9588), _u9589)), c_Groups_Ozero__class_Ozero(_u9587))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u9590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9590), c_Groups_Ozero__class_Ozero(_u9590)), _u9591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9590), _u9592), c_Groups_Ozero__class_Ozero(_u9590))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9590), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9590), _u9591), _u9592)), c_Groups_Ozero__class_Ozero(_u9590))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u9593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9593), c_Groups_Ozero__class_Ozero(_u9593)), _u9594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9593), c_Groups_Ozero__class_Ozero(_u9593)), _u9595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9593), c_Groups_Ozero__class_Ozero(_u9593)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9593), _u9594), _u9595))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9597), c_Groups_Ozero__class_Ozero(_u9596))) )).
% 12.28/12.47 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9598)) )).
% 12.28/12.47 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9598), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9597), c_Groups_Ozero__class_Ozero(_u9596))) )).
% 12.28/12.47 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9598), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9598)) )).
% 12.28/12.47 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9598), c_Groups_Ozero__class_Ozero(_u9596))) )).
% 12.28/12.47 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9597), c_Groups_Ozero__class_Ozero(_u9596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9598)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.28/12.47 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9601), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.28/12.47 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.28/12.47 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9601), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.28/12.47 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) )).
% 12.28/12.47 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), c_Groups_Ozero__class_Ozero(_u9599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9601), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( _u9605 = c_Groups_Ozero__class_Ozero(_u9602)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9602), _u9603), _u9605) = _u9604) )).
% 12.28/12.47 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( _u9605 != c_Groups_Ozero__class_Ozero(_u9602)) | ( _u9603 = c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( _u9605 != c_Groups_Ozero__class_Ozero(_u9602)) | ( _u9603 != c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9602), _u9603), _u9605) != _u9604) | ( _u9605 = c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9602), _u9603), _u9605) != _u9604) | ( _u9603 != c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) != _u9609) | ( _u9608 = c_Groups_Ozero__class_Ozero(_u9606)) | ( _u9607 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9606), _u9609), _u9608)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) != _u9609) | ( _u9608 != c_Groups_Ozero__class_Ozero(_u9606)) | ( _u9609 = c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) = _u9609) | ( _u9608 != c_Groups_Ozero__class_Ozero(_u9606)) | ( _u9609 != c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) = _u9609) | ( _u9607 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9606), _u9609), _u9608)) | ( _u9608 = c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) = _u9609) | ( _u9607 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9606), _u9609), _u9608)) | ( _u9609 != c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9610) | ( _u9611 = c_Groups_Ozero__class_Ozero(_u9610)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9610), _u9612), _u9611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9610), _u9613), _u9611)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9610), _u9612), _u9613)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9614) | ( _u9615 = c_Groups_Ozero__class_Ozero(_u9614)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9614), _u9615), _u9616)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9614), _u9615), _u9617)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9614), _u9616), _u9617)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u9618) | ( _u9619 = c_Groups_Ozero__class_Ozero(_u9618)) | ( _u9620 = c_Groups_Ozero__class_Ozero(_u9618)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9621), _u9619) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9622), _u9620)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9621), _u9620) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9622), _u9619)) )).
% 12.28/12.47 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u9618) | ( _u9619 = c_Groups_Ozero__class_Ozero(_u9618)) | ( _u9620 = c_Groups_Ozero__class_Ozero(_u9618)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9621), _u9620) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9622), _u9619)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9621), _u9619) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9622), _u9620)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u9623) | ( _u9624 = c_Groups_Ozero__class_Ozero(_u9623)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9623), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9623), _u9625), _u9624)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9623), hAPP(c_Groups_Oabs__class_Oabs(_u9623), _u9625)), hAPP(c_Groups_Oabs__class_Oabs(_u9623), _u9624))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u9626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9626), c_Groups_Ozero__class_Ozero(_u9626)), _u9627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9626), c_Groups_Ozero__class_Ozero(_u9626)), _u9628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9626), c_Groups_Ozero__class_Ozero(_u9626)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9626), _u9627), _u9628))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u9629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9629), c_Groups_Ozero__class_Ozero(_u9629)), _u9630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9629), _u9631), c_Groups_Ozero__class_Ozero(_u9629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9629), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9629), _u9630), _u9631)), c_Groups_Ozero__class_Ozero(_u9629))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u9632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), c_Groups_Ozero__class_Ozero(_u9632)), _u9633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9632), _u9633), _u9634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), c_Groups_Ozero__class_Ozero(_u9632)), _u9635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), _u9635), _u9636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9632), _u9633), _u9636)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9632), _u9634), _u9635))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u9637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9637), c_Groups_Ozero__class_Ozero(_u9637)), _u9638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9637), _u9638), _u9639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9637), c_Groups_Ozero__class_Ozero(_u9637)), _u9640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9637), _u9640), _u9641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9637), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9637), _u9638), _u9641)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9637), _u9639), _u9640))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u9642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), c_Groups_Ozero__class_Ozero(_u9642)), _u9643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), _u9643), _u9644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9642), c_Groups_Ozero__class_Ozero(_u9642)), _u9645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), _u9645), _u9646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9642), _u9643), _u9646)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9642), _u9644), _u9645))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u9647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9647), _u9648), c_Groups_Ozero__class_Ozero(_u9647))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9647), c_Groups_Ozero__class_Ozero(_u9647)), _u9649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9647), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9647), _u9648), _u9649)), c_Groups_Ozero__class_Ozero(_u9647))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u9650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9650), _u9651), c_Groups_Ozero__class_Ozero(_u9650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9650), _u9652), c_Groups_Ozero__class_Ozero(_u9650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9650), c_Groups_Ozero__class_Ozero(_u9650)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9650), _u9651), _u9652))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u9653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), _u9654), _u9655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), _u9656), c_Groups_Ozero__class_Ozero(_u9653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), c_Groups_Ozero__class_Ozero(_u9653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9653), _u9654), _u9655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9653), _u9656), _u9654)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9653), _u9656), _u9655))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u9657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), _u9658), _u9659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), c_Groups_Ozero__class_Ozero(_u9657)), _u9660)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), c_Groups_Ozero__class_Ozero(_u9657)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9657), _u9659), _u9658))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9657), _u9660), _u9659)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9657), _u9660), _u9658))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), _u9662), c_Groups_Ozero__class_Ozero(_u9661))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9661), _u9663), _u9662)), _u9664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9661), _u9664), _u9662)), _u9663)) )).
% 12.28/12.47 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), _u9662), c_Groups_Ozero__class_Ozero(_u9661))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9661), _u9664), _u9662)), _u9663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9661), _u9663), _u9662)), _u9664)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9666), c_Groups_Ozero__class_Ozero(_u9665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9667), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9665), _u9668), _u9666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9665), _u9667), _u9666))) )).
% 12.28/12.47 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9666), c_Groups_Ozero__class_Ozero(_u9665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9665), _u9667), _u9666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9667), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9665), _u9668), _u9666))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u9669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9669), c_Groups_Ozero__class_Ozero(_u9669)), _u9670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9669), _u9671), _u9670)), _u9672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9669), _u9671), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9669), _u9672), _u9670))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u9673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9673), c_Groups_Ozero__class_Ozero(_u9673)), _u9674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9673), _u9675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9673), _u9676), _u9674))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9673), _u9675), _u9674)), _u9676)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), c_Groups_Ozero__class_Ozero(_u9677)), _u9678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9677), _u9679), _u9678)), _u9680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), _u9679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9677), _u9680), _u9678))) )).
% 12.28/12.47 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), c_Groups_Ozero__class_Ozero(_u9677)), _u9678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), _u9679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9677), _u9680), _u9678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9677), _u9679), _u9678)), _u9680)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), c_Groups_Ozero__class_Ozero(_u9681)), _u9682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), _u9683), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9681), _u9684), _u9682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9681), _u9683), _u9682)), _u9684)) )).
% 12.28/12.47 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), c_Groups_Ozero__class_Ozero(_u9681)), _u9682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9681), _u9683), _u9682)), _u9684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), _u9683), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9681), _u9684), _u9682))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) )).
% 12.28/12.47 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) )).
% 12.28/12.47 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.28/12.47 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.28/12.47 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) )).
% 12.28/12.47 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.28/12.47 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) )).
% 12.28/12.47 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.28/12.47 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) )).
% 12.28/12.47 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) )).
% 12.28/12.47 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) )).
% 12.28/12.47 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9693) | ( _u9694 = c_Groups_Ozero__class_Ozero(_u9693)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9693), _u9695), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9693), _u9696), _u9694)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9693), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9693), _u9696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9693), _u9695), _u9694))), _u9694)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u9697) | ( _u9698 = c_Groups_Ozero__class_Ozero(_u9697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9697), _u9699), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9697), _u9700), _u9698)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9697), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9697), _u9698), _u9699)), _u9700)), _u9698)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9701) | ( _u9702 = c_Groups_Ozero__class_Ozero(_u9701)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9701), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9701), _u9703), _u9702)), _u9704) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9701), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9701), _u9703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9701), _u9704), _u9702))), _u9702)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u9705) | ( _u9706 = c_Groups_Ozero__class_Ozero(_u9705)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9705), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9705), _u9707), _u9706)), _u9708) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9705), _u9707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9705), _u9706), _u9708))), _u9706)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u9709) | ( _u9710 = c_Groups_Ozero__class_Ozero(_u9709)) | ( _u9711 = c_Groups_Ozero__class_Ozero(_u9709)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9709), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9709), _u9712), _u9710)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9709), _u9713), _u9711)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9709), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9709), _u9712), _u9711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9709), _u9713), _u9710))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9709), _u9710), _u9711))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u9714) | ( _u9715 = c_Groups_Ozero__class_Ozero(_u9714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9714), _u9716), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9714), _u9717), _u9715)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9714), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9714), _u9715), _u9716)), _u9717)), _u9715)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u9718) | ( _u9719 = c_Groups_Ozero__class_Ozero(_u9718)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9718), _u9720), _u9719)), _u9721) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9718), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9718), _u9720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9718), _u9719), _u9721))), _u9719)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u9722) | ( _u9723 = c_Groups_Ozero__class_Ozero(_u9722)) | ( _u9724 = c_Groups_Ozero__class_Ozero(_u9722)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), _u9725), _u9723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), _u9726), _u9724)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9722), _u9725), _u9724)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9722), _u9726), _u9723))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9722), _u9723), _u9724))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u9727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9727), _u9728), _u9729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9727), _u9728), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9727), _u9728), _u9729)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9727), c_Groups_Oone__class_Oone(_u9727)), c_Groups_Oone__class_Oone(_u9727))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), _u9731), _u9732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9730), _u9731), _u9732)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9730), c_Groups_Oone__class_Oone(_u9730)), c_Groups_Oone__class_Oone(_u9730)))), _u9732)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9733), c_Groups_Ozero__class_Ozero(_u9733)), _u9734)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9733), hAPP(c_Groups_Oabs__class_Oabs(_u9733), _u9735)), _u9734) = hAPP(c_Groups_Oabs__class_Oabs(_u9733), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9733), _u9735), _u9734))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9736), _u9737), _u9738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9736), _u9739), c_Groups_Ozero__class_Ozero(_u9736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9736), c_Groups_Ozero__class_Ozero(_u9736)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9736), _u9737), _u9738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9736), _u9739), _u9737)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9736), _u9739), _u9738))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u9740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9740), _u9741), _u9742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9740), c_Groups_Ozero__class_Ozero(_u9740)), _u9743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9740), c_Groups_Ozero__class_Ozero(_u9740)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9740), _u9742), _u9741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9740), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9740), _u9743), _u9742)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9740), _u9743), _u9741))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9744), _u9745), c_Groups_Ozero__class_Ozero(_u9744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9744), _u9746), _u9745)), _u9747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9744), _u9747), _u9745)), _u9746)) )).
% 12.28/12.47 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9744), _u9745), c_Groups_Ozero__class_Ozero(_u9744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9744), _u9747), _u9745)), _u9746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9744), _u9746), _u9745)), _u9747)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u9748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9748), _u9749), c_Groups_Ozero__class_Ozero(_u9748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9750), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9748), _u9751), _u9749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9748), _u9750), _u9749))) )).
% 12.28/12.47 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u9748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9748), _u9749), c_Groups_Ozero__class_Ozero(_u9748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9748), _u9750), _u9749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9750), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9748), _u9751), _u9749))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u9752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9752), c_Groups_Ozero__class_Ozero(_u9752)), _u9753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9752), _u9754), _u9753)), _u9755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), _u9754), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9752), _u9755), _u9753))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u9756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9756), c_Groups_Ozero__class_Ozero(_u9756)), _u9757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9756), _u9758), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9756), _u9759), _u9757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9756), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9756), _u9758), _u9757)), _u9759)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u9761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9764)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9761), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9763)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9764))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)))) | hBOOL(hAPP(hAPP(c_member(_u9762), skolem249(_u9765, _u9764, _u9763, _u9762, _u9761)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764))) )).
% 12.28/12.47 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u9761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9764)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9761), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9763)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9764))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)))) | ( hAPP(_u9765, skolem249(_u9765, _u9764, _u9763, _u9762, _u9761)) = c_Groups_Ozero__class_Ozero(_u9761)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u9766) | ( c_Power_Opower__class_Opower(_u9766) = c_Power_Opower_Opower(_u9766, c_Groups_Oone__class_Oone(_u9766), c_Groups_Otimes__class_Otimes(_u9766))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9768)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9768), _u9767)), _u9768) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9768), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9767), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9771) | ( hAPP(_u9772, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9771), skolem250(_u9773, _u9772, _u9771)), skolem251(_u9773, _u9772, _u9771))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9771), hAPP(_u9772, skolem250(_u9773, _u9772, _u9771))), hAPP(_u9772, skolem251(_u9773, _u9772, _u9771)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9771), _u9773)) | ( _u9773 = c_Orderings_Obot__class_Obot(tc_fun(_u9771, tc_HOL_Obool))) | ( hAPP(_u9772, c_Big__Operators_Olattice_OInf__fin(_u9771, c_Orderings_Oord__class_Omin(_u9771), _u9773)) = c_Big__Operators_Olattice_OInf__fin(_u9771, c_Orderings_Oord__class_Omin(_u9771), hAPP(c_Set_Oimage(_u9771, _u9771, _u9772), _u9773))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9774) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9775), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9776)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9775)), _u9776)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9777)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9778)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9777), _u9778)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9779) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9779), c_Groups_Ozero__class_Ozero(_u9779)), _u9780) = c_Groups_Ozero__class_Ozero(_u9779)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9781) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9781), _u9782), c_Groups_Ozero__class_Ozero(_u9781)) = c_Groups_Ozero__class_Ozero(_u9781)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9783) | ~c_Nat__Transfer_Ois__nat(_u9784) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9783), _u9784)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u9785) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9785), _u9786), c_Groups_Oone__class_Oone(_u9785)) = _u9786) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9788)) | 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), _u9787), _u9788))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9789), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9789), _u9790)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9792), _u9791)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9792)) )).
% 12.28/12.47 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9792), _u9791)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9794), _u9793)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9794), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 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)), _u9793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9794), 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), _u9794), _u9793)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__self-1, axiom, ( ( _u9795 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9795), _u9795) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u9796) | ( _u9797 != c_Groups_Ozero__class_Ozero(_u9796)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9798)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9799)) = c_Groups_Ozero__class_Ozero(_u9796)) )).
% 12.28/12.47 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u9796) | ( _u9797 = c_Groups_Ozero__class_Ozero(_u9796)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9798)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9799)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9796), _u9798), _u9799)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u9800) | ( _u9801 = c_Groups_Ozero__class_Ozero(_u9800)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9800), _u9802), _u9801)), _u9801) = _u9802) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u9803) | ( _u9804 = c_Groups_Ozero__class_Ozero(_u9803)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9803), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9803), _u9804), _u9805)), _u9804) = _u9805) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u9806) | ( _u9807 = c_Groups_Ozero__class_Ozero(_u9806)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9806), _u9808), _u9807)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9806), _u9809), _u9807)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9806), _u9808), _u9809)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u9810) | ( _u9811 = c_Groups_Ozero__class_Ozero(_u9810)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9810), _u9811), _u9812)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9810), _u9811), _u9813)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9810), _u9812), _u9813)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u9814) | ( _u9815 = c_Groups_Ozero__class_Ozero(_u9814)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9814), _u9815), _u9815) = c_Groups_Oone__class_Oone(_u9814)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = 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)), _u9818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9818), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = 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)), _u9818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9820), _u9818)) )).
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9818), _u9820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9818), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9818), _u9820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9820), _u9818)) )).
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9819), _u9821) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9821 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9819), _u9821) = 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)), _u9819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9819), _u9821)) )).
% 12.28/12.47 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9819), _u9821) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9821), _u9819)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9822)) | ~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), _u9823), _u9822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9823)) )).
% 12.28/12.47 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)), _u9822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9823)) | 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), _u9823), _u9822))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9824)) | ~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), _u9825), _u9824))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9824), _u9825)) )).
% 12.28/12.47 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)), _u9824)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9824), _u9825)) | 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), _u9825), _u9824))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9826)) | ~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), _u9826), _u9827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9827), _u9826)) )).
% 12.28/12.47 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)), _u9826)) | ~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), _u9826), _u9827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9827)) )).
% 12.28/12.47 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)), _u9826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9827), _u9826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9827)) | 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), _u9826), _u9827))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9829)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9829), _u9830)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9828), _u9830)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9828), _u9829))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9832), 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), _u9831), _u9832)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9833), _u9834)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9833), _u9834) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9835), 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), _u9836), _u9835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9836), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9835), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9836), 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), _u9836), _u9835))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9837), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9837), _u9838)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9839), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9840), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9839), _u9840)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9839), _u9841))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9842), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9843), _u9842)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9842), _u9843) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9844), _u9845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9844), _u9846)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9845), _u9846))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9847), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9849), 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), _u9848), _u9849)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9847), _u9849))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9850)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9850), _u9851)), _u9850)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9852)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9854), _u9852)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9853), _u9854)), _u9852)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9855, _u9856, _u9857), _u9858), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9856) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9859, _u9860, _u9861), _u9862), hAPP(c_Nat_OSuc, _u9863)) = hAPP(hAPP(_u9861, _u9862), hAPP(hAPP(c_Power_Opower_Opower(_u9859, _u9860, _u9861), _u9862), _u9863))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9864) | ( _u9865 = c_Groups_Ozero__class_Ozero(_u9864)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9864), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9864), _u9866), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), _u9867), _u9865))), _u9865) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9864), _u9867), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9864), _u9866), _u9865))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9868) | ( _u9869 = c_Groups_Ozero__class_Ozero(_u9868)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9868), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), _u9869), _u9871))), _u9869) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9868), _u9871), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9868), _u9870), _u9869))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9872) | ( _u9873 = c_Groups_Ozero__class_Ozero(_u9872)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9872), _u9873), _u9874)), _u9873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9872), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9872), _u9874), _u9873)), c_Groups_Oone__class_Oone(_u9872))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9875) | ( _u9876 = c_Groups_Ozero__class_Ozero(_u9875)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9875), _u9877), _u9876)), _u9876) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9875), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9875), _u9877), _u9876)), c_Groups_Oone__class_Oone(_u9875))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u9878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9879), _u9880)), _u9881)) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9878), _u9879) = _u9880) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9879), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9881), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u9878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9879), _u9880)), _u9881)) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9878), _u9879) = _u9880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9881), _u9879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9879)) )).
% 12.28/12.47 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u9878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9879), _u9880)), _u9881)) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9878), _u9879) = _u9880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9881), _u9879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9879), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9881), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u9893, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9895), _u9897))) | ( _u9897 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9893, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u9893, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9895), _u9897))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9882), _u9897)) | ( _u9895 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9897), _u9883)), _u9882)) | hBOOL(hAPP(_u9893, _u9883)) )).
% 12.28/12.47 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u9893, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9895), _u9897))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9897), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9897), _u9884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9895 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9897), _u9885)), _u9884)) | hBOOL(hAPP(_u9893, _u9885)) )).
% 12.28/12.47 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.28/12.47 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.28/12.47 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9901)) | ( c_SMT_Oz3div(_u9903, _u9901) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9903), _u9901)) )).
% 12.28/12.47 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)), _u9902)) | ( c_SMT_Oz3div(_u9904, _u9902) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9904), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9902)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9907) | ( hAPP(_u9908, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9907), skolem256(_u9909, _u9908, _u9907)), skolem257(_u9909, _u9908, _u9907))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9907), hAPP(_u9908, skolem256(_u9909, _u9908, _u9907))), hAPP(_u9908, skolem257(_u9909, _u9908, _u9907)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9907), _u9909)) | ( _u9909 = c_Orderings_Obot__class_Obot(tc_fun(_u9907, tc_HOL_Obool))) | ( hAPP(_u9908, c_Big__Operators_Olinorder__class_OMax(_u9907, _u9909)) = c_Big__Operators_Olinorder__class_OMax(_u9907, hAPP(c_Set_Oimage(_u9907, _u9907, _u9908), _u9909))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u9912) | ( hAPP(_u9913, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9912), skolem258(_u9914, _u9913, _u9912)), skolem259(_u9914, _u9913, _u9912))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9912), hAPP(_u9913, skolem258(_u9914, _u9913, _u9912))), hAPP(_u9913, skolem259(_u9914, _u9913, _u9912)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9912), _u9914)) | ( _u9914 = c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ( hAPP(_u9913, c_Big__Operators_Olinorder__class_OMin(_u9912, _u9914)) = c_Big__Operators_Olinorder__class_OMin(_u9912, hAPP(c_Set_Oimage(_u9912, _u9912, _u9913), _u9914))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9916) | ~c_Fun_Oinj__on(_u9917, _u9918, _u9919, _u9920) | ( _u9921 != hAPP(c_Set_Oimage(_u9917, _u9918, _u9919), _u9920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9918, _u9916), _u9923), _u9921) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9917, _u9916), _u9922), _u9920)) | hBOOL(hAPP(hAPP(c_member(_u9917), skolem260(_u9923, _u9922, _u9921, _u9920, _u9919, _u9918, _u9917, _u9916)), _u9920)) )).
% 12.28/12.47 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9916) | ~c_Fun_Oinj__on(_u9917, _u9918, _u9919, _u9920) | ( _u9921 != hAPP(c_Set_Oimage(_u9917, _u9918, _u9919), _u9920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9918, _u9916), _u9923), _u9921) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9917, _u9916), _u9922), _u9920)) | ( hAPP(_u9922, skolem260(_u9923, _u9922, _u9921, _u9920, _u9919, _u9918, _u9917, _u9916)) != hAPP(hAPP(c_Fun_Ocomp(_u9918, _u9916, _u9917, _u9923), _u9919), skolem260(_u9923, _u9922, _u9921, _u9920, _u9919, _u9918, _u9917, _u9916))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9925), _u9926)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9924), _u9925)), _u9926)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9927), _u9928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9927), _u9929)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9928), _u9929))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9930), _u9931)), _u9930)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9932), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u9932) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__less ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9933), _u9934)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9933), _u9934) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u9938 != 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), _u9938), _u9940)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9938), _u9942)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u9939 = 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), _u9939), _u9941)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9939), _u9943)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9941), _u9943)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9944), _u9945)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9944)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9945))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u9946)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9947)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9946), _u9947))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9948), _u9949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9950), _u9949)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9950), _u9948))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9951)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9951), _u9952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9951), _u9953)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9952), _u9953)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9954)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9954), _u9955)), _u9954) = _u9955) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9956)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9957), _u9956)), _u9956) = _u9957) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9959), _u9958)), _u9959)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9961), _u9960)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9961), _u9960) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9961), _u9960)), _u9960))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__if ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9963), _u9962)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9963), _u9962) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 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)), _u9962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9963), _u9962)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9963), _u9962) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9963), _u9962)), _u9962))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__div ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u9971, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9973), _u9975))) | ( _u9975 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9971, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.47 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u9971, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9973), _u9975))) | ( _u9975 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9964), _u9975)) | ( _u9973 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9975), _u9965)), _u9964)) | hBOOL(hAPP(_u9971, _u9965)) )).
% 12.28/12.47 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ( _u9976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem262(_u9976, _u9974, _u9972)), _u9976)) )).
% 12.28/12.47 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ( _u9976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9976), skolem261(_u9976, _u9974, _u9972))), skolem262(_u9976, _u9974, _u9972))) )).
% 12.28/12.47 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ( _u9976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9972, skolem261(_u9976, _u9974, _u9972))) )).
% 12.28/12.47 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9976 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem262(_u9976, _u9974, _u9972)), _u9976)) )).
% 12.28/12.47 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9976), skolem261(_u9976, _u9974, _u9972))), skolem262(_u9976, _u9974, _u9972))) )).
% 12.28/12.47 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9972, skolem261(_u9976, _u9974, _u9972))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9977)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9977), _u9978)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9977)), hAPP(c_Int_Onat, _u9978))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9980)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9979)), hAPP(c_Int_Onat, _u9980)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9979), _u9980))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9981)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9981), _u9982)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9982), _u9981) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9982), _u9981)), _u9981))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | ( _u9992 = 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), _u9992), skolem263(_u9992, _u9990, _u9988))), _u9990)) )).
% 12.28/12.47 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | ( _u9992 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9992), hAPP(c_Nat_OSuc, skolem263(_u9992, _u9990, _u9988))))) )).
% 12.28/12.47 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | ( _u9992 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9988, skolem263(_u9992, _u9990, _u9988))) )).
% 12.28/12.47 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | hBOOL(hAPP(_u9988, 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), _u9992), skolem263(_u9992, _u9990, _u9988))), _u9990)) )).
% 12.28/12.47 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | hBOOL(hAPP(_u9988, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9992), hAPP(c_Nat_OSuc, skolem263(_u9992, _u9990, _u9988))))) )).
% 12.28/12.47 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | hBOOL(hAPP(_u9988, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9988, skolem263(_u9992, _u9990, _u9988))) )).
% 12.28/12.47 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u9989, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9991), _u9993))) | ( _u9993 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9989, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.47 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u9989, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9991), _u9993))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9993), _u9984)), _u9991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9993), hAPP(c_Nat_OSuc, _u9984)))) | ~hBOOL(hAPP(_u9989, _u9984)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u9994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), _u9995)), _u9996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), hAPP(c_Nat_OSuc, _u9995)))) | ( _u9995 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9996), _u9994)) )).
% 12.28/12.47 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)), _u9994)) | ( _u9995 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9996), _u9994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), _u9995)), _u9996)) )).
% 12.28/12.47 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)), _u9994)) | ( _u9995 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9996), _u9994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), hAPP(c_Nat_OSuc, _u9995)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u9997, _u9998) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9997), _u9998)), c_Nitpick_Onat__gcd(_u9997, _u9998))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10001), _u10002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10001, tc_HOL_Obool)), _u10003), _u10002)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10003) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10002)) | hBOOL(hAPP(hAPP(c_member(_u10001), skolem264(_u10004, _u10003, _u10002, _u10001, _u10000)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10001, tc_HOL_Obool)), _u10002), _u10003))) )).
% 12.28/12.47 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10001), _u10002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10001, tc_HOL_Obool)), _u10003), _u10002)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10003) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10002)) | ( hAPP(_u10004, skolem264(_u10004, _u10003, _u10002, _u10001, _u10000)) != c_Groups_Oone__class_Oone(_u10000)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10007), _u10008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10007, tc_HOL_Obool)), _u10009), _u10008)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10008) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10009)) | hBOOL(hAPP(hAPP(c_member(_u10007), skolem265(_u10010, _u10009, _u10008, _u10007, _u10006)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10007, tc_HOL_Obool)), _u10008), _u10009))) )).
% 12.28/12.47 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10007), _u10008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10007, tc_HOL_Obool)), _u10009), _u10008)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10008) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10009)) | ( hAPP(_u10010, skolem265(_u10010, _u10009, _u10008, _u10007, _u10006)) != c_Groups_Oone__class_Oone(_u10006)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.28/12.47 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem268(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.28/12.47 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( skolem267(_u10016, _u10015, _u10014) != skolem268(_u10016, _u10015, _u10014)) )).
% 12.28/12.47 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), skolem268(_u10016, _u10015, _u10014)) != c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool))) )).
% 12.28/12.47 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.28/12.47 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem268(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.28/12.47 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( skolem267(_u10016, _u10015, _u10014) != skolem268(_u10016, _u10015, _u10014)) )).
% 12.28/12.47 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), skolem268(_u10016, _u10015, _u10014)) != c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u10017), _u10018) = 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), _u10017)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10018))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), _u10021), _u10022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10020), c_Groups_Ozero__class_Ozero(_u10020)), skolem269(_u10022, _u10021, _u10020))) )).
% 12.28/12.47 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), _u10021), _u10022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10020), skolem269(_u10022, _u10021, _u10020)), c_Groups_Oone__class_Oone(_u10020))) )).
% 12.28/12.47 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), _u10021), _u10022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10020), skolem269(_u10022, _u10021, _u10020)), _u10021)), _u10022)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10024) | ~class_Groups_Ocomm__monoid__mult(_u10024) | ( _u10025 != _u10026) | ~c_Nat__Transfer_Onat__set(_u10026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10027), _u10025) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10028), _u10026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem270(_u10028, _u10027, _u10026, _u10025, _u10024))) )).
% 12.28/12.47 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10024) | ~class_Groups_Ocomm__monoid__mult(_u10024) | ( _u10025 != _u10026) | ~c_Nat__Transfer_Onat__set(_u10026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10027), _u10025) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10028), _u10026)) | ( hAPP(_u10027, skolem270(_u10028, _u10027, _u10026, _u10025, _u10024)) != hAPP(_u10028, skolem270(_u10028, _u10027, _u10026, _u10025, _u10024))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), _u10029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10029), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10035 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10033), _u10030)), _u10029)) | hBOOL(hAPP(hAPP(_u10034, _u10030), _u10029)) )).
% 12.28/12.47 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), skolem272(_u10035, _u10034, _u10033))) )).
% 12.28/12.47 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem272(_u10035, _u10034, _u10033)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | ( _u10035 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10033), skolem271(_u10035, _u10034, _u10033))), skolem272(_u10035, _u10034, _u10033))) )).
% 12.28/12.47 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | ~hBOOL(hAPP(hAPP(_u10034, skolem271(_u10035, _u10034, _u10033)), skolem272(_u10035, _u10034, _u10033))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10036, _u10037)), _u10038), _u10037) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10036), _u10038), _u10037)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10039) | ~c_Nat__Transfer_Ois__nat(_u10040) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10039, _u10040)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10041), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10042, _u10043)), _u10043) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10041), _u10042), _u10043)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10044, _u10045)), _u10046), _u10045) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10044), _u10046), _u10045)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10047, _u10048)), _u10048) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10047), _u10048)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10049), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10050)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10049, _u10050))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10051, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10052)) = 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), _u10051), _u10052))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u10053) | ( c_Divides_Odiv__class_Omod(_u10053, _u10054, _u10055) != c_Divides_Odiv__class_Omod(_u10053, _u10056, _u10055)) | ( c_Divides_Odiv__class_Omod(_u10053, _u10057, _u10055) != c_Divides_Odiv__class_Omod(_u10053, _u10058, _u10055)) | ( c_Divides_Odiv__class_Omod(_u10053, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10053), _u10054), _u10057), _u10055) = c_Divides_Odiv__class_Omod(_u10053, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10053), _u10056), _u10058), _u10055)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u10059) | ( c_Divides_Odiv__class_Omod(_u10059, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10059), c_Divides_Odiv__class_Omod(_u10059, _u10060, _u10061)), _u10062), _u10061) = c_Divides_Odiv__class_Omod(_u10059, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10059), _u10060), _u10062), _u10061)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u10063) | ( c_Divides_Odiv__class_Omod(_u10063, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10063), _u10064), c_Divides_Odiv__class_Omod(_u10063, _u10065, _u10066)), _u10066) = c_Divides_Odiv__class_Omod(_u10063, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10063), _u10064), _u10065), _u10066)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u10067) | ( c_Divides_Odiv__class_Omod(_u10067, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10067), _u10068), _u10069), _u10070) = c_Divides_Odiv__class_Omod(_u10067, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10067), c_Divides_Odiv__class_Omod(_u10067, _u10068, _u10070)), c_Divides_Odiv__class_Omod(_u10067, _u10069, _u10070)), _u10070)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u10071) | ( c_Divides_Odiv__class_Omod(_u10071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10071), _u10072), _u10073), _u10074) = c_Divides_Odiv__class_Omod(_u10071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10071), c_Divides_Odiv__class_Omod(_u10071, _u10072, _u10074)), _u10073), _u10074)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u10075) | ( c_Divides_Odiv__class_Omod(_u10075, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10075), _u10076), _u10077), _u10078) = c_Divides_Odiv__class_Omod(_u10075, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10075), _u10076), c_Divides_Odiv__class_Omod(_u10075, _u10077, _u10078)), _u10078)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u10079) | ( c_Divides_Odiv__class_Omod(_u10079, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10079), _u10080), _u10081), _u10080) = c_Divides_Odiv__class_Omod(_u10079, _u10081, _u10080)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u10082) | ( c_Divides_Odiv__class_Omod(_u10082, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10082), _u10083), _u10084), _u10084) = c_Divides_Odiv__class_Omod(_u10082, _u10083, _u10084)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u10085) | ( c_Divides_Odiv__class_Omod(_u10085, _u10086, _u10087) != c_Divides_Odiv__class_Omod(_u10085, _u10088, _u10087)) | ( c_Divides_Odiv__class_Omod(_u10085, _u10089, _u10087) != c_Divides_Odiv__class_Omod(_u10085, _u10090, _u10087)) | ( c_Divides_Odiv__class_Omod(_u10085, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10085), _u10086), _u10089), _u10087) = c_Divides_Odiv__class_Omod(_u10085, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10085), _u10088), _u10090), _u10087)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u10091) | ( c_Divides_Odiv__class_Omod(_u10091, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10091), c_Divides_Odiv__class_Omod(_u10091, _u10092, _u10093)), _u10094), _u10093) = c_Divides_Odiv__class_Omod(_u10091, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10091), _u10092), _u10094), _u10093)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u10095) | ( c_Divides_Odiv__class_Omod(_u10095, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10095), _u10096), _u10097), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10095), _u10098), _u10097)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10095), c_Divides_Odiv__class_Omod(_u10095, _u10096, _u10098)), _u10097)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u10099) | ( c_Divides_Odiv__class_Omod(_u10099, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10099), _u10100), _u10101), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10099), _u10100), _u10102)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10099), _u10100), c_Divides_Odiv__class_Omod(_u10099, _u10101, _u10102))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u10103) | ( c_Divides_Odiv__class_Omod(_u10103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10103), _u10104), _u10105), _u10106) = c_Divides_Odiv__class_Omod(_u10103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10103), c_Divides_Odiv__class_Omod(_u10103, _u10104, _u10106)), c_Divides_Odiv__class_Omod(_u10103, _u10105, _u10106)), _u10106)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u10107) | ( c_Divides_Odiv__class_Omod(_u10107, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10107), _u10108), _u10109), _u10110) = c_Divides_Odiv__class_Omod(_u10107, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10107), c_Divides_Odiv__class_Omod(_u10107, _u10108, _u10110)), _u10109), _u10110)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u10111) | ( c_Divides_Odiv__class_Omod(_u10111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10111), _u10112), _u10113), _u10114) = c_Divides_Odiv__class_Omod(_u10111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10111), _u10112), c_Divides_Odiv__class_Omod(_u10111, _u10113, _u10114)), _u10114)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u10115) | ( c_Divides_Odiv__class_Omod(_u10115, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10115), _u10116), _u10117), _u10118) = c_Divides_Odiv__class_Omod(_u10115, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10115), _u10116), c_Divides_Odiv__class_Omod(_u10115, _u10117, _u10118)), _u10118)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u10119) | ( c_Divides_Odiv__class_Omod(_u10119, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10119), _u10120), _u10121), _u10122) = c_Divides_Odiv__class_Omod(_u10119, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10119), c_Divides_Odiv__class_Omod(_u10119, _u10120, _u10122)), _u10121), _u10122)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u10123) | ( c_Divides_Odiv__class_Omod(_u10123, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10123), _u10124), _u10125), _u10126) = c_Divides_Odiv__class_Omod(_u10123, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10123), c_Divides_Odiv__class_Omod(_u10123, _u10124, _u10126)), c_Divides_Odiv__class_Omod(_u10123, _u10125, _u10126)), _u10126)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u10127) | ( c_Divides_Odiv__class_Omod(_u10127, _u10128, _u10129) != c_Divides_Odiv__class_Omod(_u10127, _u10130, _u10129)) | ( c_Divides_Odiv__class_Omod(_u10127, _u10131, _u10129) != c_Divides_Odiv__class_Omod(_u10127, _u10132, _u10129)) | ( c_Divides_Odiv__class_Omod(_u10127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10127), _u10128), _u10131), _u10129) = c_Divides_Odiv__class_Omod(_u10127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10127), _u10130), _u10132), _u10129)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u10133) | ( c_Divides_Odiv__class_Omod(_u10133, hAPP(c_Groups_Ouminus__class_Ouminus(_u10133), _u10134), _u10135) = c_Divides_Odiv__class_Omod(_u10133, hAPP(c_Groups_Ouminus__class_Ouminus(_u10133), c_Divides_Odiv__class_Omod(_u10133, _u10134, _u10135)), _u10135)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u10136) | ( c_Divides_Odiv__class_Omod(_u10136, _u10137, _u10138) != c_Divides_Odiv__class_Omod(_u10136, _u10139, _u10138)) | ( c_Divides_Odiv__class_Omod(_u10136, hAPP(c_Groups_Ouminus__class_Ouminus(_u10136), _u10137), _u10138) = c_Divides_Odiv__class_Omod(_u10136, hAPP(c_Groups_Ouminus__class_Ouminus(_u10136), _u10139), _u10138)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10140, _u10140) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10141) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u10142) | ( c_Divides_Odiv__class_Omod(_u10142, _u10143, _u10143) = c_Groups_Ozero__class_Ozero(_u10142)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u10144) | ( c_Divides_Odiv__class_Omod(_u10144, _u10145, c_Groups_Ozero__class_Ozero(_u10144)) = _u10145) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u10146) | ( c_Divides_Odiv__class_Omod(_u10146, c_Groups_Ozero__class_Ozero(_u10146), _u10147) = c_Groups_Ozero__class_Ozero(_u10146)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u10148) | ( c_Divides_Odiv__class_Omod(_u10148, c_Divides_Odiv__class_Omod(_u10148, _u10149, _u10150), _u10150) = c_Divides_Odiv__class_Omod(_u10148, _u10149, _u10150)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10151), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10152, _u10153)), _u10153) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10151), _u10152), _u10153)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10154), _u10155), _u10156) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10154), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10155, _u10156)), _u10156)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u10157) | ( c_Divides_Odiv__class_Omod(_u10157, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10157), _u10158), _u10159), _u10158) = c_Groups_Ozero__class_Ozero(_u10157)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u10160) | ( c_Divides_Odiv__class_Omod(_u10160, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10160), _u10161), _u10162), _u10162) = c_Groups_Ozero__class_Ozero(_u10160)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u10163) | ( c_Divides_Odiv__class_Omod(_u10163, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10163), _u10164), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10163), _u10165), _u10166)), _u10165) = c_Divides_Odiv__class_Omod(_u10163, _u10164, _u10165)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u10167) | ( c_Divides_Odiv__class_Omod(_u10167, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10167), _u10168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10167), _u10169), _u10170)), _u10170) = c_Divides_Odiv__class_Omod(_u10167, _u10168, _u10170)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u10171) | ( c_Divides_Odiv__class_Omod(_u10171, _u10172, c_Groups_Oone__class_Oone(_u10171)) = c_Groups_Ozero__class_Ozero(_u10171)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u10173) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10173), c_Divides_Odiv__class_Omod(_u10173, _u10174, _u10175)), _u10175) = c_Groups_Ozero__class_Ozero(_u10173)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10176, _u10177)), _u10176)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10179)) | 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, _u10178, _u10179))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10181, _u10180)), _u10180)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10182), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10182), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10183, _u10182))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10188, _u10190) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10188 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10190), skolem273(_u10190, _u10188))) )).
% 12.28/12.47 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u10189 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10191), _u10185)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10189, _u10191) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10192), _u10193) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10192, _u10193) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10194, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10195)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10194, _u10195) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10196, _u10197)), _u10197) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10199), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10200, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u10200) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10201), _u10202)), _u10203) = 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), _u10201), _u10203)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10202), _u10203))), 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, _u10201, _u10203)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10202, _u10203))), _u10203))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u10204) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10204), c_Divides_Odiv__class_Omod(_u10204, _u10205, _u10206)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10204), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10204), _u10205), _u10206)), _u10206)) = _u10205) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u10207) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), _u10208), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10207), _u10209), _u10208))), c_Divides_Odiv__class_Omod(_u10207, _u10209, _u10208)) = _u10209) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u10210) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10210), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10210), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10210), _u10211), _u10212)), _u10212)), c_Divides_Odiv__class_Omod(_u10210, _u10211, _u10212)) = _u10211) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u10213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10213), _u10214), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10213), _u10215), _u10214))), c_Divides_Odiv__class_Omod(_u10213, _u10215, _u10214))), _u10216) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10213), _u10215), _u10216)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u10217) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10217), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10217), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10217), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10217), _u10218), _u10219)), _u10219)), c_Divides_Odiv__class_Omod(_u10217, _u10218, _u10219))), _u10220) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10217), _u10218), _u10220)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10221), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10222), _u10221)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10221, _u10222) = _u10221) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10223), 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, _u10224, _u10223)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10223), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10223), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10224, _u10223))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10225), 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, _u10226, _u10225)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10228)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10227, _u10228) = _u10227) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10229)) | 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, _u10230, _u10229))) )).
% 12.28/12.47 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)), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10230, _u10229)), _u10229)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10231)) | 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, _u10232, _u10231))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10235, _u10237) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10235, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10237)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10236, _u10238) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10236, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10238)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10236, _u10238)), _u10238)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10241, _u10243) != 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), _u10241), _u10243) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.47 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10242, _u10244) = 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), _u10242), _u10244) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10244), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10242, _u10244))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u10245 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10246), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10245), _u10246))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10245, _u10246))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10247), _u10248)), _u10249) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10247), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10248), _u10249))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10247), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10248, _u10249))), _u10249))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10250), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10251), _u10250))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10251, _u10250))), _u10252) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10251), _u10252)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10253), _u10254)), _u10254)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10253, _u10254))), _u10255) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10253), _u10255)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10256), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10257), _u10256)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10257), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10257, _u10256))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10258, _u10259) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10258), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10258), _u10259)), _u10259))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10260), _u10261)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10260, _u10261) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10260), _u10261)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u10273, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10275, _u10277))) | ( _u10277 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u10273, _u10275)) )).
% 12.28/12.47 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u10273, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10275, _u10277))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10262), _u10277)) | ( _u10275 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10277), _u10263)), _u10262)) | hBOOL(hAPP(_u10273, _u10262)) )).
% 12.28/12.47 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u10273, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10275, _u10277))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10277), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10277), _u10264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10264), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10275 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10277), _u10265)), _u10264)) | hBOOL(hAPP(_u10273, _u10264)) )).
% 12.28/12.47 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.28/12.47 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10279)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10280), _u10281)) | 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), _u10281), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10282, _u10279))), _u10280))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10284), _u10285)) | 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), _u10285), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10286, _u10283))), _u10284)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10285), _u10283))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10288), _u10289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10289), 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), _u10288), _u10287)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10288), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10290, _u10287))), _u10289))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10292), _u10293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10293), 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), _u10292), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10294, _u10291))), _u10293)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u10295 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10296), _u10297)), _u10298)) | ( _u10296 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10295, _u10296) = _u10298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10296), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10298), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u10295 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10296), _u10297)), _u10298)) | ( _u10296 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10295, _u10296) = _u10298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10298), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10296)) )).
% 12.28/12.47 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u10295 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10296), _u10297)), _u10298)) | ( _u10296 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10295, _u10296) = _u10298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10298), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10296), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10298), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10299)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10300, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10301), _u10299)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10301), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10300), _u10301), _u10299))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10300, _u10301))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u10302 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10303, _u10302) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10303), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10302)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10303), _u10302))) )).
% 12.28/12.47 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u10302 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10303, _u10302) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10303), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10302)) = 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), _u10303), _u10302))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u10304 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10305, _u10304) != 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), _u10305)), _u10304) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10305), _u10304))) )).
% 12.28/12.47 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u10304 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10305, _u10304) = 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), _u10305)), _u10304) = 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), _u10305), _u10304))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10310)) | ~hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10306), _u10310)) | ( _u10312 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10310), _u10307)), _u10306)) | hBOOL(hAPP(hAPP(_u10311, _u10307), _u10306)) )).
% 12.28/12.47 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)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem279(_u10312, _u10311, _u10310))) )).
% 12.28/12.47 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)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem279(_u10312, _u10311, _u10310)), _u10310)) )).
% 12.28/12.47 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)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | ( _u10312 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10310), skolem278(_u10312, _u10311, _u10310))), skolem279(_u10312, _u10311, _u10310))) )).
% 12.28/12.47 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)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | ~hBOOL(hAPP(hAPP(_u10311, skolem278(_u10312, _u10311, _u10310)), skolem279(_u10312, _u10311, _u10310))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10315)) | ( c_SMT_Oz3mod(_u10317, _u10315) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10317, _u10315)) )).
% 12.28/12.47 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)), _u10316)) | ( c_SMT_Oz3mod(_u10318, _u10316) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10318, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10316))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10320), _u10321)) | 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(_u10320, tc_Nat_Onat), _u10322), _u10321))) | hBOOL(hAPP(hAPP(c_member(_u10320), skolem280(_u10322, _u10321, _u10320)), _u10321)) )).
% 12.28/12.47 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10320), _u10321)) | 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(_u10320, tc_Nat_Onat), _u10322), _u10321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10322, skolem280(_u10322, _u10321, _u10320)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10323), _u10324)) | ~c_Fun_Oinj__on(_u10323, tc_fun(tc_fun(_u10323, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10323, tc_fun(tc_prod(_u10323, _u10323), tc_HOL_Obool), tc_fun(tc_fun(_u10323, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10323, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10323, _u10323), tc_HOL_Obool), tc_fun(tc_fun(_u10323, tc_HOL_Obool), tc_HOL_Obool)), _u10323), c_Equiv__Relations_Oquotient(_u10323)), hAPP(hAPP(c_COMBC(_u10323, tc_fun(_u10323, tc_HOL_Obool), tc_fun(_u10323, tc_HOL_Obool)), c_Set_Oinsert(_u10323)), c_Orderings_Obot__class_Obot(tc_fun(_u10323, tc_HOL_Obool))))), _u10325), _u10324) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u10323, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10323), _u10324), _u10325)) = hAPP(c_Finite__Set_Ocard(_u10323), _u10324)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_ex__bij__betw__finite__nat ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_ex__bij__betw__finite__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10327), _u10328)) | c_Fun_Obij__betw(_u10327, tc_Nat_Onat, skolem281(_u10328, _u10327), _u10328, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10327), _u10328))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10329), _u10330) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10329, _u10330)), _u10330)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10331), _u10332)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10331, _u10332) = _u10331) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10333, _u10334)), _u10335) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10333), _u10335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10334), _u10335))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10336), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10337, _u10338)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10336), _u10337), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10336), _u10338))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10339, _u10340)), _u10339)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10341), c_Orderings_Obot__class_Obot(tc_fun(_u10341, tc_HOL_Obool))), _u10342) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10341, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10346, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10346), _u10348), _u10350)) | ( _u10348 = c_Orderings_Obot__class_Obot(tc_fun(_u10346, tc_HOL_Obool))) )).
% 12.28/12.47 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u10349 != c_Orderings_Obot__class_Obot(tc_fun(_u10347, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10347, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10347), _u10349), _u10351)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10355), _u10357), _u10359) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10355, tc_HOL_Obool), tc_HOL_Obool))) | ( _u10357 = c_Orderings_Obot__class_Obot(tc_fun(_u10355, tc_HOL_Obool))) )).
% 12.28/12.47 cnf(fact_quotient__is__empty-2, axiom, ( ( _u10358 != c_Orderings_Obot__class_Obot(tc_fun(_u10356, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10356), _u10358), _u10360) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10356, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10361, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10364, _u10366)) != _u10366) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10364), _u10366) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10365, _u10367)) = _u10367) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10365), _u10367) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10365, _u10367))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10369, _u10368)), _u10368)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10374, _u10376) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10374 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10376), skolem282(_u10376, _u10374))) )).
% 12.28/12.47 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u10375 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10377), _u10371)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10375, _u10377) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10380), _u10382)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10380, _u10382) = _u10380) )).
% 12.28/12.47 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10381), _u10383)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10381, _u10383) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10381), _u10383), _u10383)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10384), _u10385)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10384, _u10385) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10384), _u10385), _u10385)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10386), _u10387)), _u10388), _u10387) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10388, _u10387)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10389), _u10390)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10390, _u10389) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10390), _u10389), _u10389)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10391), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10392)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10391, _u10392))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 12.28/12.47 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, _u10393, _u10394)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10393), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10394))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10395), _u10396)), _u10397) = 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), _u10395), _u10397)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10396), _u10397))), 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, _u10395, _u10397)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10396, _u10397))), _u10397))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u10400 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10402, _u10400) = _u10402) )).
% 12.28/12.47 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u10401 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10403, _u10401) = c_Nitpick_Onat__gcd(_u10401, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10403, _u10401))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10405, _u10404)), _u10404)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10406), _u10407)), _u10408)), _u10407) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10408), _u10407)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10409, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10410), _u10411)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10410), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10409), _u10410), _u10411))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10409, _u10410))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10412), _u10413)), _u10414) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10412), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10413), _u10414))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10412), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10413, _u10414))), _u10414))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10415), _u10416)), _u10416) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10415), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10415, _u10416))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10417), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10418), _u10417)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10418), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10418, _u10417))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10419, _u10420) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10419), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10419), _u10420)), _u10420))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u10421, tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10421, tc_fun(tc_prod(_u10421, _u10421), tc_HOL_Obool), tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10421, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10421, _u10421), tc_HOL_Obool), tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool)), _u10421), c_Equiv__Relations_Oquotient(_u10421)), hAPP(hAPP(c_COMBC(_u10421, tc_fun(_u10421, tc_HOL_Obool), tc_fun(_u10421, tc_HOL_Obool)), c_Set_Oinsert(_u10421)), c_Orderings_Obot__class_Obot(tc_fun(_u10421, tc_HOL_Obool))))), _u10422), _u10423) | ~hBOOL(hAPP(hAPP(c_member(_u10421), _u10424), _u10423)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10421, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10421), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10421, tc_HOL_Obool))))), _u10422) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10421), _u10423), _u10422)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10421), hAPP(hAPP(c_Set_Oinsert(_u10421), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10421, tc_HOL_Obool)))), _u10422))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u10432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10434, _u10436))) | ( _u10436 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u10432, _u10434)) )).
% 12.28/12.47 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u10432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10434, _u10436))) | ( _u10436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10425), _u10436)) | ( _u10434 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10436), _u10426)), _u10425)) | hBOOL(hAPP(_u10432, _u10425)) )).
% 12.28/12.47 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ( _u10437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem284(_u10437, _u10435, _u10433)), _u10437)) )).
% 12.28/12.47 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ( _u10437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10435 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10437), skolem283(_u10437, _u10435, _u10433))), skolem284(_u10437, _u10435, _u10433))) )).
% 12.28/12.47 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ( _u10437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u10433, skolem284(_u10437, _u10435, _u10433))) )).
% 12.28/12.47 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | ( _u10437 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem284(_u10437, _u10435, _u10433)), _u10437)) )).
% 12.28/12.47 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | ( _u10435 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10437), skolem283(_u10437, _u10435, _u10433))), skolem284(_u10437, _u10435, _u10433))) )).
% 12.28/12.47 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | ~hBOOL(hAPP(_u10433, skolem284(_u10437, _u10435, _u10433))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10439), _u10440)) | 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), _u10440), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10441, _u10438))), _u10439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10440), _u10438))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10442)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10442), _u10443)), _u10442) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10445)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10444), hAPP(c_Int_Onat, _u10445)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10444, _u10445))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 12.28/12.47 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)), _u10446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10447)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10446, _u10447)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10446), hAPP(c_Int_Onat, _u10447))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10448), _u10449), _u10450) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10448, tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool)), _u10449), hAPP(hAPP(c_COMBC(_u10448, tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10448, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool)), _u10448), c_Set_Oinsert(tc_fun(_u10448, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10448, tc_HOL_Obool), tc_fun(_u10448, tc_HOL_Obool), _u10448), c_Relation_OImage(_u10448, _u10448, _u10450)), hAPP(hAPP(c_COMBC(_u10448, tc_fun(_u10448, tc_HOL_Obool), tc_fun(_u10448, tc_HOL_Obool)), c_Set_Oinsert(_u10448)), c_Orderings_Obot__class_Obot(tc_fun(_u10448, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10451), hAPP(hAPP(c_Set_Oinsert(_u10451), _u10452), c_Orderings_Obot__class_Obot(tc_fun(_u10451, tc_HOL_Obool)))), _u10453) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u10451, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10451, _u10451, _u10453), hAPP(hAPP(c_Set_Oinsert(_u10451), _u10452), c_Orderings_Obot__class_Obot(tc_fun(_u10451, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10451, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10454), _u10455), _u10456)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10454, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10454, _u10454, _u10457), hAPP(hAPP(c_Set_Oinsert(_u10454), _u10455), c_Orderings_Obot__class_Obot(tc_fun(_u10454, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10454), _u10456), _u10457))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10460), _u10461)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10459, _u10460, c_Groups_Otimes__class_Otimes(_u10459)), _u10462), c_Groups_Oone__class_Oone(_u10459)), _u10461) = c_Groups_Oone__class_Oone(_u10459)) | hBOOL(hAPP(hAPP(c_member(_u10460), skolem285(_u10462, _u10461, _u10460, _u10459)), _u10461)) )).
% 12.28/12.47 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u10459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10460), _u10461)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10459, _u10460, c_Groups_Otimes__class_Otimes(_u10459)), _u10462), c_Groups_Oone__class_Oone(_u10459)), _u10461) = c_Groups_Oone__class_Oone(_u10459)) | ( hAPP(_u10462, skolem285(_u10462, _u10461, _u10460, _u10459)) != c_Groups_Oone__class_Oone(_u10459)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u10463, _u10464, _u10465), _u10466) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10463, tc_fun(_u10464, tc_HOL_Obool)), _u10466), hAPP(hAPP(c_COMBB(tc_fun(_u10463, tc_HOL_Obool), tc_fun(_u10464, tc_HOL_Obool), _u10463), c_Relation_OImage(_u10463, _u10464, _u10465)), hAPP(hAPP(c_COMBC(_u10463, tc_fun(_u10463, tc_HOL_Obool), tc_fun(_u10463, tc_HOL_Obool)), c_Set_Oinsert(_u10463)), c_Orderings_Obot__class_Obot(tc_fun(_u10463, tc_HOL_Obool)))))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10467, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10468, _u10467, _u10469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10470, tc_fun(_u10468, tc_HOL_Obool)), _u10471), _u10472))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10470, tc_fun(_u10467, tc_HOL_Obool)), _u10471), hAPP(hAPP(c_COMBB(tc_fun(_u10468, tc_HOL_Obool), tc_fun(_u10467, tc_HOL_Obool), _u10470), c_Relation_OImage(_u10468, _u10467, _u10469)), _u10472)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10473, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10474, _u10473, _u10475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10474, tc_HOL_Obool)), _u10476), _u10477))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10473, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10474, _u10473, _u10475), _u10476)), hAPP(c_Relation_OImage(_u10474, _u10473, _u10475), _u10477)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u10478, _u10479, _u10480), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10478, tc_HOL_Obool)), _u10482), _u10483)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10479, tc_HOL_Obool)), _u10482), hAPP(hAPP(c_COMBB(tc_fun(_u10478, tc_HOL_Obool), tc_fun(_u10479, tc_HOL_Obool), _u10481), c_Relation_OImage(_u10478, _u10479, _u10480)), _u10483))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u10484, _u10485, _u10486), c_Orderings_Obot__class_Obot(tc_fun(_u10484, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u10485, tc_HOL_Obool))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10487, _u10488), tc_HOL_Obool)), _u10489), _u10490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10487, tc_HOL_Obool)), _u10491), _u10492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10488, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10487, _u10488, _u10489), _u10491)), hAPP(c_Relation_OImage(_u10487, _u10488, _u10490), _u10492))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u10493, _u10494, _u10495), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10493, tc_HOL_Obool)), _u10496), _u10497)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10494, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10493, _u10494, _u10495), _u10496)), hAPP(c_Relation_OImage(_u10493, _u10494, _u10495), _u10497))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u10498, _u10499, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10498, _u10499), tc_HOL_Obool)), _u10500), _u10501)), _u10502) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10499, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10498, _u10499, _u10500), _u10502)), hAPP(c_Relation_OImage(_u10498, _u10499, _u10501), _u10502))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10504, tc_HOL_Obool)), _u10505), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10504), _u10506), _u10507))) | ( _u10505 = hAPP(c_Relation_OImage(_u10504, _u10504, _u10507), hAPP(hAPP(c_Set_Oinsert(_u10504), skolem286(_u10507, _u10506, _u10505, _u10504)), c_Orderings_Obot__class_Obot(tc_fun(_u10504, tc_HOL_Obool))))) )).
% 12.28/12.47 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10504, tc_HOL_Obool)), _u10505), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10504), _u10506), _u10507))) | hBOOL(hAPP(hAPP(c_member(_u10504), skolem286(_u10507, _u10506, _u10505, _u10504)), _u10506)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10509, _u10510) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10511, _u10510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10511), _u10509)) | ( _u10509 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10510), skolem287(_u10511, _u10510, _u10509)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10513), _u10514)) | ( hAPP(c_Finite__Set_Ocard(_u10513), _u10514) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10513), skolem288(_u10514, _u10513)), _u10514)) )).
% 12.28/12.47 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10513), _u10514)) | ( hAPP(c_Finite__Set_Ocard(_u10513), _u10514) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u10517, _u10518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10518), _u10516)) | hBOOL(hAPP(_u10517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem289(_u10518, _u10517, _u10516)), _u10516)) )).
% 12.28/12.47 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u10517, _u10518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10518), _u10516)) | hBOOL(hAPP(_u10517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u10517, skolem289(_u10518, _u10517, _u10516))) )).
% 12.28/12.47 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u10517, _u10518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10518), _u10516)) | hBOOL(hAPP(_u10517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u10517, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem289(_u10518, _u10517, _u10516)), _u10516))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__by__empty-1, axiom, ( ( _u10519 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10520, _u10520), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10520, _u10520), tc_HOL_Obool)), _u10519), _u10521)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10524), _u10525)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10526), _u10528), _u10525) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10527), _u10528), _u10525)) | hBOOL(hAPP(hAPP(c_member(_u10524), skolem290(_u10528, _u10527, _u10526, _u10525, _u10524, _u10523)), _u10525)) )).
% 12.28/12.47 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10524), _u10525)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10526), _u10528), _u10525) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10527), _u10528), _u10525)) | ( hAPP(_u10526, skolem290(_u10528, _u10527, _u10526, _u10525, _u10524, _u10523)) != hAPP(_u10527, skolem290(_u10528, _u10527, _u10526, _u10525, _u10524, _u10523))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u10530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10530), _u10531)) | ~hBOOL(hAPP(hAPP(c_member(_u10530), _u10532), _u10531)) | ( c_Big__Operators_Olinorder__class_OMax(_u10530, _u10531) = _u10532) | hBOOL(hAPP(hAPP(c_member(_u10530), skolem291(_u10532, _u10531, _u10530)), _u10531)) )).
% 12.28/12.47 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u10530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10530), _u10531)) | ~hBOOL(hAPP(hAPP(c_member(_u10530), _u10532), _u10531)) | ( c_Big__Operators_Olinorder__class_OMax(_u10530, _u10531) = _u10532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10530), skolem291(_u10532, _u10531, _u10530)), _u10532)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10534), _u10535)) | ~hBOOL(hAPP(hAPP(c_member(_u10534), _u10536), _u10535)) | ( c_Big__Operators_Olinorder__class_OMin(_u10534, _u10535) = _u10536) | hBOOL(hAPP(hAPP(c_member(_u10534), skolem292(_u10536, _u10535, _u10534)), _u10535)) )).
% 12.28/12.47 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10534), _u10535)) | ~hBOOL(hAPP(hAPP(c_member(_u10534), _u10536), _u10535)) | ( c_Big__Operators_Olinorder__class_OMin(_u10534, _u10535) = _u10536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10534), _u10536), skolem292(_u10536, _u10535, _u10534))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10537))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10537) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10537)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u10538) | ~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), _u10539))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10538), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10539)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10538), _u10539)) )).
% 12.28/12.47 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u10538) | 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), _u10539))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10538), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10539)) = c_Groups_Ozero__class_Ozero(_u10538)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10540) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10540), _u10541) = hAPP(c_Int_Oring__1__class_Oof__int(_u10540), _u10541)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10542) | ~class_Int_Oring__char__0(_u10542) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10543) != hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10544)) | ( _u10543 = _u10544) )).
% 12.28/12.47 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10542) | ~class_Int_Oring__char__0(_u10542) | ( _u10543 != _u10544) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10543) = hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10544)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u10545) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546) != _u10547) | ( _u10547 = hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546)) )).
% 12.28/12.47 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u10545) | ( _u10547 != hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546) = _u10547) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10548) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10548), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10549)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10548), _u10549)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10550) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10551))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10550), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10551)) = c_Groups_Ozero__class_Ozero(_u10550)) )).
% 12.28/12.47 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u10550) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10551))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10550), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10551)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10550), _u10551)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u10552) | ~class_Orderings_Olinorder(_u10552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553))) )).
% 12.28/12.47 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u10552) | ~class_Orderings_Olinorder(_u10552) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10555) | ~class_Rings_Osemiring(_u10555) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10555), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10555), _u10556), _u10557)), hAPP(c_Int_Onumber__class_Onumber__of(_u10555), _u10558)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10555), _u10556), hAPP(c_Int_Onumber__class_Onumber__of(_u10555), _u10558))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10555), _u10557), hAPP(c_Int_Onumber__class_Onumber__of(_u10555), _u10558)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10559) | ~class_Rings_Osemiring(_u10559) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10559), hAPP(c_Int_Onumber__class_Onumber__of(_u10559), _u10560)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10559), _u10561), _u10562)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10559), hAPP(c_Int_Onumber__class_Onumber__of(_u10559), _u10560)), _u10561)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10559), hAPP(c_Int_Onumber__class_Onumber__of(_u10559), _u10560)), _u10562))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10563) | ~class_Rings_Oring(_u10563) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10563), hAPP(c_Int_Onumber__class_Onumber__of(_u10563), _u10564)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10563), _u10565), _u10566)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10563), hAPP(c_Int_Onumber__class_Onumber__of(_u10563), _u10564)), _u10565)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10563), hAPP(c_Int_Onumber__class_Onumber__of(_u10563), _u10564)), _u10566))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u10567) | ~class_Rings_Oring(_u10567) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10567), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10567), _u10568), _u10569)), hAPP(c_Int_Onumber__class_Onumber__of(_u10567), _u10570)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10567), _u10568), hAPP(c_Int_Onumber__class_Onumber__of(_u10567), _u10570))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10567), _u10569), hAPP(c_Int_Onumber__class_Onumber__of(_u10567), _u10570)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10571) | ~class_Rings_Olinordered__idom(_u10571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10571), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10572)), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10572), _u10573)) )).
% 12.28/12.47 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10571) | ~class_Rings_Olinordered__idom(_u10571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10572), _u10573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10571), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10572)), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10573))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10574) | ~class_Rings_Olinordered__idom(_u10574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10574), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10575)), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10575), _u10576)) )).
% 12.28/12.47 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10574) | ~class_Rings_Olinordered__idom(_u10574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10575), _u10576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10574), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10575)), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10576))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u10577) | ~class_Orderings_Oord(_u10577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)) )).
% 12.28/12.47 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u10577) | ~class_Orderings_Oord(_u10577) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u10580) | ~class_Orderings_Oord(_u10580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582)) )).
% 12.28/12.47 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u10580) | ~class_Orderings_Oord(_u10580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u10583) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10584), _u10585)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10583), hAPP(c_Int_Onumber__class_Onumber__of(_u10583), _u10584)), hAPP(c_Int_Onumber__class_Onumber__of(_u10583), _u10585))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10586) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10586), hAPP(c_Int_Onumber__class_Onumber__of(_u10586), _u10587)), hAPP(c_Int_Onumber__class_Onumber__of(_u10586), _u10588)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10587), _u10588))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u10589) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10589), hAPP(c_Int_Onumber__class_Onumber__of(_u10589), _u10590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10589), hAPP(c_Int_Onumber__class_Onumber__of(_u10589), _u10591)), _u10592)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10589), hAPP(c_Int_Onumber__class_Onumber__of(_u10589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10590), _u10591))), _u10592)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u10593) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10594), _u10595)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10593), hAPP(c_Int_Onumber__class_Onumber__of(_u10593), _u10594)), hAPP(c_Int_Onumber__class_Onumber__of(_u10593), _u10595))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u10596) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10596), hAPP(c_Int_Onumber__class_Onumber__of(_u10596), _u10597)), hAPP(c_Int_Onumber__class_Onumber__of(_u10596), _u10598)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10598))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u10599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10599), hAPP(c_Int_Onumber__class_Onumber__of(_u10599), _u10600)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10599), hAPP(c_Int_Onumber__class_Onumber__of(_u10599), _u10601)), _u10602)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10599), hAPP(c_Int_Onumber__class_Onumber__of(_u10599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10600), _u10601))), _u10602)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u10603) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10604), _u10605)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10603), hAPP(c_Int_Onumber__class_Onumber__of(_u10603), _u10604)), hAPP(c_Int_Onumber__class_Onumber__of(_u10603), _u10605))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u10606) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10606), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10607)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10606), hAPP(c_Int_Onumber__class_Onumber__of(_u10606), _u10607))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u10608) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10608), hAPP(c_Int_Onumber__class_Onumber__of(_u10608), _u10609)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10608), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10609))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10610) | hBOOL(hAPP(hAPP(c_member(_u10610), hAPP(c_Int_Onumber__class_Onumber__of(_u10610), _u10611)), c_Int_Oring__1__class_OInts(_u10610))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) != _u10615) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) = c_Groups_Ozero__class_Ozero(_u10612)) | ( _u10613 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10612), _u10615), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614))) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) != _u10615) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) != c_Groups_Ozero__class_Ozero(_u10612)) | ( _u10615 = c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) = _u10615) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) != c_Groups_Ozero__class_Ozero(_u10612)) | ( _u10615 != c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) = _u10615) | ( _u10613 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10612), _u10615), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) = c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) = _u10615) | ( _u10613 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10612), _u10615), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614))) | ( _u10615 != c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) != hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10618 = c_Groups_Ozero__class_Ozero(_u10616)) | ( _u10617 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10616), hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)), _u10618)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) != hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10618 != c_Groups_Ozero__class_Ozero(_u10616)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619) = c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) = hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10618 != c_Groups_Ozero__class_Ozero(_u10616)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619) != c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) = hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10617 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10616), hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)), _u10618)) | ( _u10618 = c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.28/12.47 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) = hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10617 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10616), hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)), _u10618)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619) != c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( _u10623 = c_Groups_Ozero__class_Ozero(_u10620)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10620), hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621)), _u10623) = _u10622) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( _u10623 != c_Groups_Ozero__class_Ozero(_u10620)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( _u10623 != c_Groups_Ozero__class_Ozero(_u10620)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10620), hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621)), _u10623) != _u10622) | ( _u10623 = c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10620), hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621)), _u10623) != _u10622) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) = c_Groups_Ozero__class_Ozero(_u10624)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10624), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627)) = _u10626) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) != c_Groups_Ozero__class_Ozero(_u10624)) | ( _u10625 = c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) != c_Groups_Ozero__class_Ozero(_u10624)) | ( _u10625 != c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10624), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627)) != _u10626) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) = c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.28/12.47 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10624), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627)) != _u10626) | ( _u10625 != c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u10628) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10628), hAPP(c_Int_Onumber__class_Onumber__of(_u10628), _u10629)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10628), hAPP(c_Int_Onumber__class_Onumber__of(_u10628), _u10630)), _u10631)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10628), hAPP(c_Int_Onumber__class_Onumber__of(_u10628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10629), _u10630))), _u10631)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u10632) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10632), hAPP(c_Groups_Ouminus__class_Ouminus(_u10632), hAPP(c_Int_Onumber__class_Onumber__of(_u10632), _u10633))), _u10634) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10632), hAPP(c_Int_Onumber__class_Onumber__of(_u10632), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10633))), _u10634)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10635) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10635), hAPP(c_Int_Onumber__class_Onumber__of(_u10635), _u10636)), hAPP(c_Int_Onumber__class_Onumber__of(_u10635), _u10637)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10636), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10637)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) )).
% 12.28/12.47 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10654) | ~class_Rings_Olinordered__idom(_u10654) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)), c_Groups_Ozero__class_Ozero(_u10654))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655))) )).
% 12.28/12.47 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10654) | ~class_Rings_Olinordered__idom(_u10654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)), c_Groups_Ozero__class_Ozero(_u10654))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u10656) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10656), hAPP(c_Int_Onumber__class_Onumber__of(_u10656), _u10657)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10656), _u10658), hAPP(c_Int_Onumber__class_Onumber__of(_u10656), _u10659))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10656), hAPP(c_Int_Onumber__class_Onumber__of(_u10656), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10657), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10659)))), _u10658)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) )).
% 12.28/12.47 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10677))) | ( 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), _u10677)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.47 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), _u10678))) | ( 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), _u10678)) = 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), _u10678)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10679)) = 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), _u10679)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10680) | ~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), _u10681))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10681))) = hAPP(hAPP(c_HOL_OLet(_u10680, _u10680), hAPP(hAPP(c_Power_Opower__class_Opower(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10681))), hAPP(hAPP(c_COMBS(_u10680, _u10680, _u10680), hAPP(hAPP(c_COMBB(_u10680, tc_fun(_u10680, _u10680), _u10680), c_Groups_Otimes__class_Otimes(_u10680)), hAPP(c_Groups_Otimes__class_Otimes(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)))), c_COMBI(_u10680)))) )).
% 12.28/12.47 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u10680) | 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), _u10681))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10681))) = c_Groups_Oone__class_Oone(_u10680)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10685))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10685)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10687)) = 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), _u10687))) )).
% 12.28/12.47 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), _u10686))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10686)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10688)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10686)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10688)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10691)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10691), _u10693)) )).
% 12.28/12.47 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10692), _u10694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10692)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10694))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10695) = _u10695) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10698)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10698), _u10700)) )).
% 12.28/12.47 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10699), _u10701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10699)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10701))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10702)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10703)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10702), _u10703))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10704)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10705)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10704), _u10705))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.28/12.47 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), _u10706)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10706))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 12.28/12.47 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(_u10708)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10708))) )).
% 12.28/12.47 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10709))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10709)))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u10712) != c_Int_OBit1(_u10714)) | ( _u10712 = _u10714) )).
% 12.28/12.47 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u10713 != _u10715) | ( c_Int_OBit1(_u10713) = c_Int_OBit1(_u10715)) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10718)), c_Int_OBit1(_u10720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10718), _u10720)) )).
% 12.28/12.47 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10719), _u10721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10719)), c_Int_OBit1(_u10721))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10724)), c_Int_OBit1(_u10726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10724), _u10726)) )).
% 12.28/12.47 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10725), _u10727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10725)), c_Int_OBit1(_u10727))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.28/12.47 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(_u10730)), c_Int_OBit1(_u10732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10730), _u10732)) )).
% 12.28/12.47 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10731), _u10733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10731)), c_Int_OBit1(_u10733))) )).
% 12.28/12.47
% 12.28/12.47 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 12.28/12.47 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10736)), c_Int_OBit1(_u10738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10736), _u10738)) )).
% 12.28/12.48 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10737), _u10739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10737)), c_Int_OBit1(_u10739))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10740) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u10740)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10742)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10742), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10743), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10743)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u10744) = 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)), _u10744)), _u10744)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10745)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10745)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10746) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10746))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10748))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10748)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10749))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10749)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10749)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u10750) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10750), c_Int_OBit1(_u10751)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10750), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10750), c_Groups_Oone__class_Oone(_u10750)), hAPP(c_Int_Onumber__class_Onumber__of(_u10750), _u10751))), hAPP(c_Int_Onumber__class_Onumber__of(_u10750), _u10751))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u10752) | ~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), _u10753))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10752), _u10754), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10753))) = hAPP(hAPP(c_HOL_OLet(_u10752, _u10752), hAPP(hAPP(c_Power_Opower__class_Opower(_u10752), _u10754), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10753))), hAPP(hAPP(c_COMBS(_u10752, _u10752, _u10752), hAPP(hAPP(c_COMBB(_u10752, tc_fun(_u10752, _u10752), _u10752), c_Groups_Otimes__class_Otimes(_u10752)), hAPP(c_Groups_Otimes__class_Otimes(_u10752), _u10754))), c_COMBI(_u10752)))) )).
% 12.28/12.48 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u10752) | 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), _u10753))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10752), _u10754), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10753))) = c_Groups_Oone__class_Oone(_u10752)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10757))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10759), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10757))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10759), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10757))), 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), _u10759))), c_COMBI(tc_Int_Oint)))) )).
% 12.28/12.48 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), _u10758))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10760), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10758))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10761)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10762)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10761), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10762)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10763))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10763) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10766) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768)) | ( _u10766 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768))) )).
% 12.28/12.48 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10766) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768)) | 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), _u10768))) )).
% 12.28/12.48 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u10767 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10769))) | ~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), _u10769))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10767) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10769)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10772) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10774)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10772) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10774)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10772) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10774)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774))) | ( _u10772 = _u10774) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) | ( _u10773 != _u10775) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10773 != _u10775) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) | ( _u10773 != _u10775) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) )).
% 12.28/12.48 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10773 != _u10775) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10779))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10779)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10781)), _u10783)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10781)), _u10783)) )).
% 12.28/12.48 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), _u10780))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10782))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10780)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10782)), _u10784)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10780)), _u10784)) )).
% 12.28/12.48 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), _u10780))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10782))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10780)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10782)), _u10784)) = 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), _u10780), _u10782))), _u10784)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10786))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10786)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10787))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10787)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10787)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10790))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10790), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10792)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10791))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10793))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10791), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10793)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10791)) )).
% 12.28/12.48 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10791))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10793))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10791), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10793)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10791), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10793)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10796))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10796)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10798)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10797))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10797)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10799)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10797)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10799)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10802))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10802)), _u10804) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10804)) )).
% 12.28/12.48 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10803))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10803)), _u10805) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10803)), _u10805))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10808))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808)), _u10810)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10810)) )).
% 12.28/12.48 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), _u10809))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809)), _u10811)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10809))), _u10811)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10814), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10814)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)) )).
% 12.28/12.48 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10815), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10817)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10815)) = 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), _u10817), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10815)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10818)), hAPP(c_Nat_OSuc, _u10819)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10818))), 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)), _u10819))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10820)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10821)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10821))), 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), _u10820)), c_Int_Onat))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u10822)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u10823) != c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I19_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10824), c_Int_OPls) = _u10824) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u10825)) = _u10825) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10826) = c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10827) = _u10827) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10828), c_Int_OPls) = _u10828) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u10829) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10829), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10829)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u10830) | ( c_Groups_Ozero__class_Ozero(_u10830) = hAPP(c_Int_Onumber__class_Onumber__of(_u10830), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u10831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10831), _u10832), hAPP(c_Int_Onumber__class_Onumber__of(_u10831), c_Int_OPls)) = _u10832) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u10833) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10833), hAPP(c_Int_Onumber__class_Onumber__of(_u10833), c_Int_OPls)), _u10834) = _u10834) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__Pls-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u10836))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10836)) )).
% 12.28/12.48 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10837))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10839)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10839), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10840), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10840)), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10841)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10842)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10841)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10842), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10841)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_not__neg__number__of__Pls-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10844), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10844)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10845), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10845)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10845))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10847), 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), _u10847)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10848), 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), _u10848)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10848))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10851), _u10853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10851)), _u10853)) )).
% 12.28/12.48 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10852)), _u10854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10852), _u10854)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u10855)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10855)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u10856) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10856), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10858), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10858)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10859), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10859)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10859))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u10860) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10860), hAPP(c_Int_Onumber__class_Onumber__of(_u10860), c_Int_OBit1(c_Int_OPls))), _u10861) = _u10861) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u10862) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10862), _u10863), hAPP(c_Int_Onumber__class_Onumber__of(_u10862), c_Int_OBit1(c_Int_OPls))) = _u10863) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10864) | ~class_Int_Onumber__ring(_u10864) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10864), _u10865), hAPP(c_Int_Onumber__class_Onumber__of(_u10864), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u10864)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u10866) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10866), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10866)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u10867) | ( c_Groups_Oone__class_Oone(_u10867) = hAPP(c_Int_Onumber__class_Onumber__of(_u10867), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10869), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10870), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10870)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10872) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10872), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10873), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10873) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u10875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10875)) )).
% 12.28/12.48 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10876))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10878)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10878), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10879), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10879)), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10882), _u10884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10884)) )).
% 12.28/12.48 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), _u10882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10882), _u10884)) )).
% 12.28/12.48 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), _u10883)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10885))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10883), _u10885)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10885)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u10886) | ~class_Int_Onumber__ring(_u10886) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10886), _u10887), hAPP(c_Int_Onumber__class_Onumber__of(_u10886), c_Int_OBit1(c_Int_OPls))) = _u10887) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u10888) | ~class_Int_Onumber__ring(_u10888) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10888), _u10889), hAPP(c_Int_Onumber__class_Onumber__of(_u10888), c_Int_OBit1(c_Int_OPls))) = _u10889) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10892)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10894))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10892), _u10894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10892), c_Int_OPls)) )).
% 12.28/12.48 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), _u10893)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10893), _u10895)) )).
% 12.28/12.48 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), _u10893)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10893), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u10896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10896), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10897) | ~class_Rings_Olinordered__idom(_u10897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10897), hAPP(c_Int_Onumber__class_Onumber__of(_u10897), _u10898)), c_Groups_Ozero__class_Ozero(_u10897))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10898), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10897) | ~class_Rings_Olinordered__idom(_u10897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10898), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10897), hAPP(c_Int_Onumber__class_Onumber__of(_u10897), _u10898)), c_Groups_Ozero__class_Ozero(_u10897))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10899) | ~class_Rings_Olinordered__idom(_u10899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10899), c_Groups_Ozero__class_Ozero(_u10899)), hAPP(c_Int_Onumber__class_Onumber__of(_u10899), _u10900))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10900)) )).
% 12.28/12.48 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10899) | ~class_Rings_Olinordered__idom(_u10899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10899), c_Groups_Ozero__class_Ozero(_u10899)), hAPP(c_Int_Onumber__class_Onumber__of(_u10899), _u10900))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10901) | ~class_Rings_Olinordered__idom(_u10901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10901), c_Groups_Ozero__class_Ozero(_u10901)), hAPP(c_Int_Onumber__class_Onumber__of(_u10901), _u10902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10902)) )).
% 12.28/12.48 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10901) | ~class_Rings_Olinordered__idom(_u10901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10901), c_Groups_Ozero__class_Ozero(_u10901)), hAPP(c_Int_Onumber__class_Onumber__of(_u10901), _u10902))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10903) | ~class_Rings_Olinordered__idom(_u10903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10903), hAPP(c_Int_Onumber__class_Onumber__of(_u10903), _u10904)), c_Groups_Ozero__class_Ozero(_u10903))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10904), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10903) | ~class_Rings_Olinordered__idom(_u10903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10904), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10903), hAPP(c_Int_Onumber__class_Onumber__of(_u10903), _u10904)), c_Groups_Ozero__class_Ozero(_u10903))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10906)) )).
% 12.28/12.48 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10907)) | 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), _u10907))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_numeral__3__eq__3-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_numeral__1__eq__Suc__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u10908) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10908), _u10909), 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(_u10908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10908), _u10909), _u10909)), _u10909)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10910))) = 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)))), _u10910)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10913), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10913)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10915)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10915)) )).
% 12.28/12.48 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10914), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10916), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10914)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10916)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10914)) )).
% 12.28/12.48 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10914), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10916), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10914)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10916)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10914), _u10916))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_transfer__int__nat__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_transfer__nat__int__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u10917) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10917), c_Int_Osucc(_u10918)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10917), c_Groups_Oone__class_Oone(_u10917)), hAPP(c_Int_Onumber__class_Onumber__of(_u10917), _u10918))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u10919) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10919), c_Int_Opred(_u10920)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10919), hAPP(c_Groups_Ouminus__class_Ouminus(_u10919), c_Groups_Oone__class_Oone(_u10919))), hAPP(c_Int_Onumber__class_Onumber__of(_u10919), _u10920))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10921) | ~class_Rings_Olinordered__idom(_u10921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10921), hAPP(c_Int_Onumber__class_Onumber__of(_u10921), _u10922)), c_Groups_Oone__class_Oone(_u10921))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10922), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10921) | ~class_Rings_Olinordered__idom(_u10921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10922), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10921), hAPP(c_Int_Onumber__class_Onumber__of(_u10921), _u10922)), c_Groups_Oone__class_Oone(_u10921))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10923) | ~class_Rings_Olinordered__idom(_u10923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10923), c_Groups_Oone__class_Oone(_u10923)), hAPP(c_Int_Onumber__class_Onumber__of(_u10923), _u10924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10924)) )).
% 12.28/12.48 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10923) | ~class_Rings_Olinordered__idom(_u10923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10923), c_Groups_Oone__class_Oone(_u10923)), hAPP(c_Int_Onumber__class_Onumber__of(_u10923), _u10924))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10925) | ~class_Rings_Olinordered__idom(_u10925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10925), hAPP(c_Int_Onumber__class_Onumber__of(_u10925), _u10926)), c_Groups_Oone__class_Oone(_u10925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10926), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10925) | ~class_Rings_Olinordered__idom(_u10925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10926), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10925), hAPP(c_Int_Onumber__class_Onumber__of(_u10925), _u10926)), c_Groups_Oone__class_Oone(_u10925))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10927) | ~class_Rings_Olinordered__idom(_u10927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10927), c_Groups_Oone__class_Oone(_u10927)), hAPP(c_Int_Onumber__class_Onumber__of(_u10927), _u10928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10928)) )).
% 12.28/12.48 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10927) | ~class_Rings_Olinordered__idom(_u10927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10927), c_Groups_Oone__class_Oone(_u10927)), hAPP(c_Int_Onumber__class_Onumber__of(_u10927), _u10928))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10929) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10929), hAPP(c_Int_Onumber__class_Onumber__of(_u10929), _u10930)), c_Groups_Oone__class_Oone(_u10929)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10929), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10930), c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10931) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10931), c_Groups_Oone__class_Oone(_u10931)), hAPP(c_Int_Onumber__class_Onumber__of(_u10931), _u10932)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10932))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u10933)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10934)), _u10933) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10934), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10933), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10938), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10938)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10940)), _u10942)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10939), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10939)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10941)), _u10943)) = 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), _u10939), _u10941))), _u10943)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10946), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10946)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10948)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10947), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10947)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10949)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10947), _u10949))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 12.28/12.48 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(_u10951)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10951) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10952) != 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(_u10952)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10953, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10954)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10953, 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)))), _u10954))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 12.28/12.48 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, _u10955))), _u10956) = 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)))), _u10955), _u10956)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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, _u10957))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10958)) = 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)))), _u10957), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10958))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10959), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10960)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10959), 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)))), _u10960))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 12.28/12.48 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, _u10961)))), _u10962) = 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)))), _u10961)), _u10962)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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, _u10963)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10964)) = 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)))), _u10963)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10964))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10965) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10965), c_Groups_Oone__class_Oone(_u10965)), hAPP(c_Int_Onumber__class_Onumber__of(_u10965), _u10966)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10965), 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), _u10966)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10967) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10967), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), _u10968)), c_Groups_Oone__class_Oone(_u10967)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10967), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10968), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u10971) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10973)) | 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(_u10973))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10971))))) )).
% 12.28/12.48 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(_u10974))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10972))))) | ( hAPP(c_Nat_OSuc, _u10972) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10974)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10977) != hAPP(c_Nat_OSuc, _u10979)) | 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(_u10977))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10979))))) )).
% 12.28/12.48 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(_u10978))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10980))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10978) = hAPP(c_Nat_OSuc, _u10980)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10981, _u10982, _u10983, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10984)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10981), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10984))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10981, _u10981), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10981, tc_fun(_u10981, _u10981)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10981, tc_fun(_u10981, _u10981)), tc_Int_Oint), c_If(_u10981)), c_Nat__Numeral_Oneg)), _u10982)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10981, tc_Int_Oint), _u10983), c_Int_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 12.28/12.48 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), _u10987)), hAPP(c_Nat_OSuc, _u10989))) | 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(_u10987))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10989)))) )).
% 12.28/12.48 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(_u10988))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10990)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10988)), hAPP(c_Nat_OSuc, _u10990))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10993)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10995))) | 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(_u10995))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10993)), c_Int_Onat))))) )).
% 12.28/12.48 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(_u10996))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10994)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10994)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10996))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10999)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11001))) | 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(_u11001))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10999)), c_Int_Onat))))) )).
% 12.28/12.48 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(_u11002))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u11000)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11000)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11002))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11005)), hAPP(c_Nat_OSuc, _u11007))) | 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(_u11005))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11007)))) )).
% 12.28/12.48 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(_u11006))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11008)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11006)), hAPP(c_Nat_OSuc, _u11008))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11010))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11010)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11011))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11011)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u11011))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11012)), hAPP(c_Nat_OSuc, _u11013)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11012))), 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, _u11013))), 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)), _u11013))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11014)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11015)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11015))), 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, _u11014))), 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), _u11014)), c_Int_Onat))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u11016, _u11017, _u11018, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11019)), _u11020)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11016), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11019))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11016, _u11016), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11016, tc_fun(_u11016, _u11016)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11016, tc_fun(_u11016, _u11016)), tc_Int_Oint), c_If(_u11016)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u11016, _u11017, _u11018, _u11020))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11016, tc_Int_Oint), _u11018), 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)), _u11020))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11021, _u11022, _u11023), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11024)), _u11025)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11021), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11024))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11021, _u11021), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11021, tc_fun(_u11021, _u11021)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11021, tc_fun(_u11021, _u11021)), tc_Int_Oint), c_If(_u11021)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u11021, _u11022, _u11023), _u11025))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11021, _u11021), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11021, _u11021), tc_Int_Oint), _u11023), 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)), _u11025))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11021, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11021, _u11022, _u11023)), 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)), _u11025)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u11026) | ( c_Groups_Oone__class_Oone(_u11026) != hAPP(c_Int_Onumber__class_Onumber__of(_u11026), _u11027)) | c_Int_Oiszero(_u11026, hAPP(c_Int_Onumber__class_Onumber__of(_u11026), 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), _u11027)))) )).
% 12.28/12.48 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u11026) | ~c_Int_Oiszero(_u11026, hAPP(c_Int_Onumber__class_Onumber__of(_u11026), 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), _u11027)))) | ( c_Groups_Oone__class_Oone(_u11026) = hAPP(c_Int_Onumber__class_Onumber__of(_u11026), _u11027)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u11028) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) != c_Groups_Oone__class_Oone(_u11028)) | c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u11028) | ~c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) = c_Groups_Oone__class_Oone(_u11028)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11030, _u11031, _u11032), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11033)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11030), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11033))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11030, _u11030), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11030, tc_fun(_u11030, _u11030)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11030, tc_fun(_u11030, _u11030)), tc_Int_Oint), c_If(_u11030)), c_Nat__Numeral_Oneg)), _u11031)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11030, _u11030), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11030, _u11030), tc_Int_Oint), _u11032), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11030, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11030, _u11031, _u11032)), c_Int_Onat))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u11034) | ~c_Int_Oiszero(_u11034, _u11035) | ( _u11035 = c_Groups_Ozero__class_Ozero(_u11034)) )).
% 12.28/12.48 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u11034) | ( _u11035 != c_Groups_Ozero__class_Ozero(_u11034)) | c_Int_Oiszero(_u11034, _u11035) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u11036) | c_Int_Oiszero(_u11036, c_Groups_Ozero__class_Ozero(_u11036)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u11037) | ~c_Int_Oiszero(_u11037, c_Groups_Oone__class_Oone(_u11037)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11038, _u11039, _u11040), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u11039) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11041, _u11042, _u11043), hAPP(c_Nat_OSuc, _u11044)) = hAPP(hAPP(_u11043, _u11044), hAPP(c_Nat_Onat_Onat__rec(_u11041, _u11042, _u11043), _u11044))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u11045) | c_Int_Oiszero(_u11045, hAPP(c_Int_Onumber__class_Onumber__of(_u11045), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u11046) | ~class_Int_Oring__char__0(_u11046) | ~c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), c_Int_OBit1(_u11047))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u11048) | ~c_Int_Oiszero(_u11048, hAPP(c_Int_Onumber__class_Onumber__of(_u11048), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u11049) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11050) != hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11051)) | c_Int_Oiszero(_u11049, hAPP(c_Int_Onumber__class_Onumber__of(_u11049), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11050), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11051)))) )).
% 12.28/12.48 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u11049) | ~c_Int_Oiszero(_u11049, hAPP(c_Int_Onumber__class_Onumber__of(_u11049), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11050), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11051)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11050) = hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11051)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u11052) | ( c_Groups_Ozero__class_Ozero(_u11052) != hAPP(c_Int_Onumber__class_Onumber__of(_u11052), _u11053)) | c_Int_Oiszero(_u11052, hAPP(c_Int_Onumber__class_Onumber__of(_u11052), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11053)))) )).
% 12.28/12.48 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u11052) | ~c_Int_Oiszero(_u11052, hAPP(c_Int_Onumber__class_Onumber__of(_u11052), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11053)))) | ( c_Groups_Ozero__class_Ozero(_u11052) = hAPP(c_Int_Onumber__class_Onumber__of(_u11052), _u11053)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u11054) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11054), _u11055) != c_Groups_Ozero__class_Ozero(_u11054)) | c_Int_Oiszero(_u11054, hAPP(c_Int_Onumber__class_Onumber__of(_u11054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11055), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.28/12.48 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u11054) | ~c_Int_Oiszero(_u11054, hAPP(c_Int_Onumber__class_Onumber__of(_u11054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11055), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11054), _u11055) = c_Groups_Ozero__class_Ozero(_u11054)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11056), 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)))), _u11057)), hAPP(hAPP(c_Groups_Otimes__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)) = 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), _u11057), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11056))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11060))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11062)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11060))) = 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), _u11062), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11060)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48 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), _u11061))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11063)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11061))) = 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), _u11063)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11061)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11064)), 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))), _u11065))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11066))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11066)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11064), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11064), 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), _u11066), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11065))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u11067) != c_Int_OBit1(_u11068)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u11069) != c_Int_OBit0(_u11070)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11073)), c_Int_OBit0(_u11075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11073), _u11075)) )).
% 12.28/12.48 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11074), _u11076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11074)), c_Int_OBit0(_u11076))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11079)), c_Int_OBit0(_u11081))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11079), _u11081)) )).
% 12.28/12.48 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11080), _u11082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11080)), c_Int_OBit0(_u11082))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11083)), c_Int_OBit0(_u11084)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11083), _u11084))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u11085)), _u11086) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11085), _u11086))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11089)), c_Int_OBit0(_u11091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11089), _u11091)) )).
% 12.28/12.48 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11090), _u11092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11090)), c_Int_OBit0(_u11092))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11095)), c_Int_OBit0(_u11097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11095), _u11097)) )).
% 12.28/12.48 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11096), _u11098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11096)), c_Int_OBit0(_u11098))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u11099) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11099), _u11099)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11100)), c_Int_OBit0(_u11101)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11100), _u11101))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u11104) != c_Int_OBit0(_u11106)) | ( _u11104 = _u11106) )).
% 12.28/12.48 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u11105 != _u11107) | ( c_Int_OBit0(_u11105) = c_Int_OBit0(_u11107)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u11108)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11108))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u11110)) | ( c_Int_OPls = _u11110) )).
% 12.28/12.48 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u11111) | ( c_Int_OPls = c_Int_OBit0(_u11111)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u11113) != c_Int_OPls) | ( _u11113 = c_Int_OPls) )).
% 12.28/12.48 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u11114 != c_Int_OPls) | ( c_Int_OBit0(_u11114) = c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11116)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11117)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11119)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11119), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11120), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11120)), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11122))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11122)) )).
% 12.28/12.48 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11123))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11126)), c_Int_OBit1(_u11128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11126), _u11128)) )).
% 12.28/12.48 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11127), _u11129)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11127)), c_Int_OBit1(_u11129))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11132)), c_Int_OBit1(_u11134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11132), _u11134)) )).
% 12.28/12.48 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11133), _u11135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11133)), c_Int_OBit1(_u11135))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11137)) )).
% 12.28/12.48 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11138))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11140)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11140), c_Int_OPls)) )).
% 12.28/12.48 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11141), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11141)), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11144)), c_Int_OBit0(_u11146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11144), _u11146)) )).
% 12.28/12.48 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11145), _u11147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11145)), c_Int_OBit0(_u11147))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11150)), c_Int_OBit0(_u11152))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11150), _u11152)) )).
% 12.28/12.48 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11151), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11151)), c_Int_OBit0(_u11153))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11154)), c_Int_OBit1(_u11155)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11154), _u11155))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11156)), c_Int_OBit0(_u11157)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11156), _u11157))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11158)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u11158))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11159)), c_Int_OBit1(_u11160)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11159), _u11160))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11161)), c_Int_OBit0(_u11162)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11163))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11164))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11163)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11164))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11166)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11166))) )).
% 12.28/12.48 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11167))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11167)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u11168)) = c_Int_OBit0(_u11168)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u11169)) = c_Int_OBit1(c_Int_Opred(_u11169))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u11170) | ~class_Int_Oring__char__0(_u11170) | ~c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), c_Int_OBit0(_u11171))) | c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), _u11171)) )).
% 12.28/12.48 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u11170) | ~class_Int_Oring__char__0(_u11170) | ~c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), _u11171)) | c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), c_Int_OBit0(_u11171))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u11172)) = c_Int_OBit1(_u11172)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u11173)) = c_Int_OBit0(c_Int_Osucc(_u11173))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11174)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11174)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u11175) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11175), c_Int_OBit0(_u11176)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11175), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11175), c_Groups_Ozero__class_Ozero(_u11175)), hAPP(c_Int_Onumber__class_Onumber__of(_u11175), _u11176))), hAPP(c_Int_Onumber__class_Onumber__of(_u11175), _u11176))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11179)), c_Int_OBit1(_u11181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11179), _u11181)) )).
% 12.28/12.48 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11180), _u11182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11180)), c_Int_OBit1(_u11182))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11185)), c_Int_OBit1(_u11187))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11185), _u11187)) )).
% 12.28/12.48 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11186), _u11188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11186)), c_Int_OBit1(_u11188))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11191)), c_Int_OBit0(_u11193))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11191), _u11193)) )).
% 12.28/12.48 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11192), _u11194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11192)), c_Int_OBit0(_u11194))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11197)), c_Int_OBit0(_u11199))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11197), _u11199)) )).
% 12.28/12.48 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11198), _u11200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11198)), c_Int_OBit0(_u11200))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_card__UNIV__bool-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u11201)), _u11202) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11201), _u11202))), _u11202)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11203)), c_Int_OBit1(_u11204)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u11203)), _u11204))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11205)), c_Int_OBit1(_u11206)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11205), c_Int_Osucc(_u11206)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u11207) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11207), _u11208), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11209))) = hAPP(hAPP(c_HOL_OLet(_u11207, _u11207), hAPP(hAPP(c_Power_Opower__class_Opower(_u11207), _u11208), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11209))), hAPP(hAPP(c_COMBS(_u11207, _u11207, _u11207), c_Groups_Otimes__class_Otimes(_u11207)), c_COMBI(_u11207)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11211))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11211))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u11212) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11212), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11212), c_Groups_Oone__class_Oone(_u11212)), c_Groups_Oone__class_Oone(_u11212))), hAPP(c_Int_Onumber__class_Onumber__of(_u11212), _u11213)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11212), c_Int_OBit0(_u11213))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11214))) | 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(_u11214)))) )).
% 12.28/12.48 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), _u11214))) | 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(_u11214)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u11215) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11215), hAPP(c_Int_Onumber__class_Onumber__of(_u11215), _u11216)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11217))) = hAPP(hAPP(c_HOL_OLet(_u11215, _u11215), hAPP(hAPP(c_Power_Opower__class_Opower(_u11215), hAPP(c_Int_Onumber__class_Onumber__of(_u11215), _u11216)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11217))), hAPP(hAPP(c_COMBS(_u11215, _u11215, _u11215), c_Groups_Otimes__class_Otimes(_u11215)), c_COMBI(_u11215)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u11218) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11218), _u11219), hAPP(c_Int_Onumber__class_Onumber__of(_u11218), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11218), _u11219), _u11219)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u11220) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11220), hAPP(c_Int_Onumber__class_Onumber__of(_u11220), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11221) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11220), _u11221), _u11221)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u11222) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11222), c_Groups_Oone__class_Oone(_u11222)), c_Groups_Oone__class_Oone(_u11222)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11222), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u11223) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11223), c_Groups_Ozero__class_Ozero(_u11223)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11223)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11224) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11224), _u11225), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u11224)) | ( _u11225 = c_Groups_Ozero__class_Ozero(_u11224)) )).
% 12.28/12.48 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11224) | ( _u11225 != c_Groups_Ozero__class_Ozero(_u11224)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11224), _u11225), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11224)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_numeral__2__eq__2-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_semiring__norm_I115_J-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11226) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11226), _u11227), _u11227) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11226), _u11227), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u11228) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11228), _u11229), 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(_u11228), _u11229), _u11229)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11230), 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, _u11230))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 12.28/12.48 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)))), _u11231) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11231))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u11232) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11232), c_Groups_Oone__class_Oone(_u11232)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11232)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u11233) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11233), hAPP(c_Groups_Ouminus__class_Ouminus(_u11233), _u11234)), 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(_u11233), _u11234), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11235), 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), _u11235), _u11235)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 12.28/12.48 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)))), _u11236) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11236), _u11236)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u11237) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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)))), _u11239)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), _u11239)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_transfer__int__nat__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_transfer__nat__int__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u11240) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11240), hAPP(hAPP(c_Power_Opower__class_Opower(_u11240), _u11241), 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(_u11240), _u11241), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u11242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11242), hAPP(c_Groups_Oabs__class_Oabs(_u11242), _u11243)), 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(_u11242), _u11243), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__1__add__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11244)), 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, _u11244, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 12.28/12.48 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, _u11245))), 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), _u11245), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11246)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11247))) = hAPP(hAPP(c_Groups_Otimes__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), _u11246), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11247)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11248), _u11248)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u11248) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11249) | ~class_Int_Onumber__ring(_u11249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11249), c_Groups_Ozero__class_Ozero(_u11249)), _u11250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11249), c_Groups_Ozero__class_Ozero(_u11249)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11249), _u11250), hAPP(c_Int_Onumber__class_Onumber__of(_u11249), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11251) | ~class_Int_Onumber__ring(_u11251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11251), _u11252), hAPP(c_Int_Onumber__class_Onumber__of(_u11251), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), _u11252)) )).
% 12.28/12.48 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u11251) | ~class_Int_Onumber__ring(_u11251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), _u11252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11251), _u11252), hAPP(c_Int_Onumber__class_Onumber__of(_u11251), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11253) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11253), _u11254), 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(_u11253), _u11255), 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(_u11253), c_Groups_Ozero__class_Ozero(_u11253)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11253), c_Groups_Ozero__class_Ozero(_u11253)), _u11255)) | ( _u11254 = _u11255) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11256), hAPP(hAPP(c_Power_Opower__class_Opower(_u11256), _u11257), 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(_u11256), _u11258), 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(_u11256), c_Groups_Ozero__class_Ozero(_u11256)), _u11258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11256), _u11257), _u11258)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u11259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11259), c_Groups_Ozero__class_Ozero(_u11259)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11259), _u11260), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u11261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11261), hAPP(hAPP(c_Power_Opower__class_Opower(_u11261), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u11261))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u11263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11263), c_Groups_Ozero__class_Ozero(_u11263)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11263), _u11264), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u11264 != c_Groups_Ozero__class_Ozero(_u11263)) )).
% 12.28/12.48 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u11263) | ( _u11264 = c_Groups_Ozero__class_Ozero(_u11263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11263), c_Groups_Ozero__class_Ozero(_u11263)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11263), _u11264), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11265) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11265), hAPP(hAPP(c_Power_Opower__class_Opower(_u11265), _u11266), 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(_u11265), _u11267), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11265)) | ( _u11266 = c_Groups_Ozero__class_Ozero(_u11265)) )).
% 12.28/12.48 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11265) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11265), hAPP(hAPP(c_Power_Opower__class_Opower(_u11265), _u11266), 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(_u11265), _u11267), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11265)) | ( _u11267 = c_Groups_Ozero__class_Ozero(_u11265)) )).
% 12.28/12.48 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11265) | ( _u11266 != c_Groups_Ozero__class_Ozero(_u11265)) | ( _u11267 != c_Groups_Ozero__class_Ozero(_u11265)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11265), hAPP(hAPP(c_Power_Opower__class_Opower(_u11265), _u11266), 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(_u11265), _u11267), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u11265)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u11268) | ~class_Int_Onumber(_u11268) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11268), hAPP(c_Int_Onumber__class_Onumber__of(_u11268), _u11269)), 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(_u11268), hAPP(c_Int_Onumber__class_Onumber__of(_u11268), _u11269)), hAPP(c_Int_Onumber__class_Onumber__of(_u11268), _u11269))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11270), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u11270 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11270 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__2-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11271) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11271), _u11272), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 = c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 = hAPP(c_Groups_Ouminus__class_Ouminus(_u11271), c_Groups_Oone__class_Oone(_u11271))) )).
% 12.28/12.48 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11271) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11271), _u11272), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 != c_Groups_Oone__class_Oone(_u11271)) )).
% 12.28/12.48 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u11271) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11271), _u11272), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 != hAPP(c_Groups_Ouminus__class_Ouminus(_u11271), c_Groups_Oone__class_Oone(_u11271))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11273) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11273), _u11274), 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)))), _u11275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11273), hAPP(hAPP(c_Power_Opower__class_Opower(_u11273), _u11274), _u11275)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11273), _u11274), _u11275))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u11276) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11276), hAPP(c_Groups_Ouminus__class_Ouminus(_u11276), _u11277)), 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)))), _u11278)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11276), _u11277), 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)))), _u11278))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11279), hAPP(hAPP(c_Power_Opower__class_Opower(_u11279), _u11280), 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(_u11279), _u11281), 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(_u11279), c_Groups_Ozero__class_Ozero(_u11279)), _u11281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11279), _u11280), _u11281)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11282) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11282), c_Groups_Ozero__class_Ozero(_u11282)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11282), hAPP(hAPP(c_Power_Opower__class_Opower(_u11282), _u11283), 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(_u11282), _u11284), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11285), hAPP(hAPP(c_Power_Opower__class_Opower(_u11285), _u11286), 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(_u11285), _u11287), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11285))) | ( _u11286 = c_Groups_Ozero__class_Ozero(_u11285)) )).
% 12.28/12.48 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11285), hAPP(hAPP(c_Power_Opower__class_Opower(_u11285), _u11286), 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(_u11285), _u11287), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11285))) | ( _u11287 = c_Groups_Ozero__class_Ozero(_u11285)) )).
% 12.28/12.48 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11285) | ( _u11286 != c_Groups_Ozero__class_Ozero(_u11285)) | ( _u11287 != c_Groups_Ozero__class_Ozero(_u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11285), hAPP(hAPP(c_Power_Opower__class_Opower(_u11285), _u11286), 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(_u11285), _u11287), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11285))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u11288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11288), c_Groups_Ozero__class_Ozero(_u11288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11288), hAPP(hAPP(c_Power_Opower__class_Opower(_u11288), _u11289), 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(_u11288), _u11290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11289 != c_Groups_Ozero__class_Ozero(_u11288)) | ( _u11290 != c_Groups_Ozero__class_Ozero(_u11288)) )).
% 12.28/12.48 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u11288) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11288), c_Groups_Ozero__class_Ozero(_u11288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11288), hAPP(hAPP(c_Power_Opower__class_Opower(_u11288), _u11289), 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(_u11288), _u11290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11289 = c_Groups_Ozero__class_Ozero(_u11288)) )).
% 12.28/12.48 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u11288) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11288), c_Groups_Ozero__class_Ozero(_u11288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11288), hAPP(hAPP(c_Power_Opower__class_Opower(_u11288), _u11289), 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(_u11288), _u11290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11290 = c_Groups_Ozero__class_Ozero(_u11288)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11291), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11291), hAPP(hAPP(c_Power_Opower__class_Opower(_u11291), _u11292), 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(_u11291), _u11293), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11291))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u11294) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11294), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11294), _u11295), _u11296)), 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(_u11294), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11294), hAPP(hAPP(c_Power_Opower__class_Opower(_u11294), _u11295), 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(_u11294), _u11296), 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(_u11294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11294), hAPP(c_Int_Onumber__class_Onumber__of(_u11294), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11295)), _u11296))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u11297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11297), c_Groups_Ozero__class_Ozero(_u11297)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11297), _u11298), 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)))), _u11299)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u11300) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11300), _u11301), 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)))), _u11302))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11300), _u11301), hAPP(hAPP(c_Power_Opower__class_Opower(_u11300), hAPP(hAPP(c_Power_Opower__class_Opower(_u11300), _u11301), _u11302)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u11303) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11303), _u11304), 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)))), _u11305))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11303), _u11304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11303), hAPP(hAPP(c_Power_Opower__class_Opower(_u11303), _u11304), _u11305)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11303), _u11304), _u11305)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u11306) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11306), hAPP(c_Groups_Ouminus__class_Ouminus(_u11306), c_Groups_Oone__class_Oone(_u11306))), 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)))), _u11307)) = c_Groups_Oone__class_Oone(_u11306)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11310))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11312))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11310))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11312)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11310))) )).
% 12.28/12.48 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), _u11311))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11313))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11311))) = 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), _u11313)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11311))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 12.28/12.48 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, _u11315, 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, _u11315, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11316, 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, _u11316, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11317)) | 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), _u11317), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u11318) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11318), _u11319), _u11320)), 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(_u11318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11318), hAPP(hAPP(c_Power_Opower__class_Opower(_u11318), _u11319), 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(_u11318), _u11320), 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(_u11318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11318), hAPP(c_Int_Onumber__class_Onumber__of(_u11318), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11319)), _u11320))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u11321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11321), c_Groups_Ozero__class_Ozero(_u11321)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11321), _u11322), 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)))), _u11323))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11321), c_Groups_Ozero__class_Ozero(_u11321)), _u11322)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u11324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11324), _u11325), c_Groups_Ozero__class_Ozero(_u11324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11324), hAPP(hAPP(c_Power_Opower__class_Opower(_u11324), _u11325), 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)))), _u11326)))), c_Groups_Ozero__class_Ozero(_u11324))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u11327) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11327), hAPP(c_Groups_Ouminus__class_Ouminus(_u11327), c_Groups_Oone__class_Oone(_u11327))), 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)))), _u11328))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11327), c_Groups_Oone__class_Oone(_u11327))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11329)) | 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), _u11329), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u11330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11331)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11330), 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)))), _u11331))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11330), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11330), hAPP(c_Int_Onat, _u11331))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11330), hAPP(c_Int_Onat, _u11331)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11332)) | ( 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)))), _u11333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11332)) = 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, _u11333, _u11332)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11334)) | ( 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)))), _u11335))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11334)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11335), _u11334)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11336), 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)))), _u11337))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11336)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11337), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11336)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__of__code-1, axiom, ( ( _u11339 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u11339) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 cnf(fact_int__of__code-2, axiom, ( ( _u11340 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11340, 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, _u11340) = hAPP(hAPP(c_Groups_Otimes__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), _u11340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.28/12.48 cnf(fact_int__of__code-3, axiom, ( ( _u11340 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11340, 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, _u11340) = 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), _u11340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u11341) | ( _u11342 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11341), _u11342) = c_Groups_Ozero__class_Ozero(_u11341)) )).
% 12.28/12.48 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u11341) | ( _u11342 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11342), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11341), _u11342) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11341), hAPP(c_Int_Oring__1__class_Oof__int(_u11341), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11342)))) )).
% 12.28/12.48 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u11341) | ( _u11342 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11342), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11341), _u11342) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u11341), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u11341, _u11341)), tc_fun(tc_Int_Oint, _u11341)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11341, _u11341), _u11341), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u11341, _u11341)), tc_fun(tc_Int_Oint, _u11341)), tc_Int_Oint), c_COMBB(tc_fun(_u11341, _u11341), _u11341, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u11341, tc_fun(tc_fun(_u11341, _u11341), _u11341), tc_Int_Oint), c_HOL_OLet(_u11341, _u11341)), c_Int_Oring__1__class_Oof__int(_u11341)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11341, _u11341), tc_fun(_u11341, _u11341)), hAPP(hAPP(c_COMBB(tc_fun(_u11341, tc_fun(_u11341, _u11341)), tc_fun(tc_fun(_u11341, _u11341), tc_fun(_u11341, _u11341)), tc_Int_Oint), c_COMBS(_u11341, _u11341, _u11341)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11341, _u11341), tc_fun(_u11341, tc_fun(_u11341, _u11341))), hAPP(hAPP(c_COMBB(tc_fun(_u11341, tc_fun(_u11341, _u11341)), tc_fun(tc_fun(_u11341, _u11341), tc_fun(_u11341, tc_fun(_u11341, _u11341))), tc_Int_Oint), c_COMBB(_u11341, tc_fun(_u11341, _u11341), _u11341)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11341, tc_fun(_u11341, _u11341)), tc_Int_Oint), c_If(_u11341)), 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(_u11341, _u11341, _u11341), c_Groups_Oplus__class_Oplus(_u11341)), c_COMBI(_u11341))))), hAPP(hAPP(c_COMBC(_u11341, _u11341, _u11341), hAPP(hAPP(c_COMBB(_u11341, tc_fun(_u11341, _u11341), _u11341), c_Groups_Oplus__class_Oplus(_u11341)), hAPP(hAPP(c_COMBS(_u11341, _u11341, _u11341), c_Groups_Oplus__class_Oplus(_u11341)), c_COMBI(_u11341)))), c_Groups_Oone__class_Oone(_u11341))))), c_Divides_Odivmod__int(_u11342, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u11343) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11343), hAPP(c_Int_Onumber__class_Onumber__of(_u11343), 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)))), _u11344))) = hAPP(c_Int_Onumber__class_Onumber__of(_u11343), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u11345) != c_Int_OMin) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u11346)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral__zero__minus__one-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I24_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u11348) != c_Int_OMin) | ( _u11348 = c_Int_OMin) )).
% 12.28/12.48 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u11349 != c_Int_OMin) | ( c_Int_OBit1(_u11349) = c_Int_OMin) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u11351)) | ( c_Int_OMin = _u11351) )).
% 12.28/12.48 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u11352) | ( c_Int_OMin = c_Int_OBit1(_u11352)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_bin__less__0__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I23_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I20_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I26_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11354)) )).
% 12.28/12.48 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11355))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11357)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11357), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11358), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11358)), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11360)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11360), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11361), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11361)), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11363)) )).
% 12.28/12.48 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11364))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11366)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11366), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11367), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11367)), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11369)) )).
% 12.28/12.48 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11370))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__number__of__Pls__Min-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Int_OMin__def-1, axiom, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u11371) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11371)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_neg__number__of__Min-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11372), c_Int_OMin) = c_Int_Opred(_u11372)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u11373) = c_Int_Opred(_u11373)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u11374) | ~c_Int_Oiszero(_u11374, hAPP(c_Int_Onumber__class_Onumber__of(_u11374), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11375), c_Int_OMin) = c_Int_Osucc(_u11375)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u11376) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11376), hAPP(c_Int_Onumber__class_Onumber__of(_u11376), c_Int_OMin)), _u11377) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11376), _u11377)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u11378) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11378), _u11379), hAPP(c_Int_Onumber__class_Onumber__of(_u11378), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11378), _u11379)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u11380) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11380), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11380), c_Groups_Oone__class_Oone(_u11380))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u11381) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11381), c_Groups_Oone__class_Oone(_u11381)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11381), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u11382) | ~class_Rings_Olinordered__idom(_u11382) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11382), hAPP(c_Int_Onumber__class_Onumber__of(_u11382), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u11382)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11383) | ~class_Int_Onumber__ring(_u11383) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11383), _u11384), hAPP(c_Int_Onumber__class_Onumber__of(_u11383), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11383), _u11384)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11386)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11386), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11387), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11387)), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11389))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11389)) )).
% 12.28/12.48 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11390))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11391, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11392)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11392))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11393), _u11394) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11393 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11393 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11398), _u11400) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11398 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11400 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.48 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11398), _u11400) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11398 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u11400 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11401)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11401))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u11402)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11402))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u11403) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11403), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11403), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11404), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11404)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zero__code__numeral__code-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u11405) | ~class_Int_Onumber__ring(_u11405) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11405), hAPP(c_Int_Onumber__class_Onumber__of(_u11405), c_Int_OMin)), _u11406) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11405), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11405), c_Groups_Oone__class_Oone(_u11405)), _u11406))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u11407) | ~class_Rings_Olinordered__idom(_u11407) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11407), hAPP(hAPP(c_Power_Opower__class_Opower(_u11407), hAPP(c_Int_Onumber__class_Onumber__of(_u11407), c_Int_OMin)), _u11408)) = c_Groups_Oone__class_Oone(_u11407)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11409)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u11409) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11410), _u11411)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11410), _u11411) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11412)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11412) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11412), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_one__code__numeral__code-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u11413) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11413), hAPP(c_Int_Onumber__class_Onumber__of(_u11413), 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)))), _u11414)) = c_Groups_Oone__class_Oone(_u11413)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_OFrac__def-1, axiom, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u11415) = 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), _u11415)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u11416) = 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), _u11416)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u11417, _u11418), tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), tc_fun(_u11417, _u11418)), c_Set_OCollect(tc_prod(_u11417, _u11418))), hAPP(hAPP(c_COMBB(tc_fun(_u11417, tc_fun(_u11418, tc_HOL_Obool)), tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), tc_fun(_u11417, _u11418)), c_Product__Type_Oprod_Oprod__case(_u11417, _u11418, tc_HOL_Obool)), hAPP(c_COMBB(_u11418, tc_fun(_u11418, tc_HOL_Obool), _u11417), hAPP(c_COMBC(_u11418, _u11418, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11417, _u11418), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u11419, _u11420, _u11421, _u11422) = hAPP(c_Set_OCollect(tc_prod(_u11419, _u11420)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11419, _u11420, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11419, tc_fun(_u11420, tc_HOL_Obool), tc_fun(_u11420, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11420, tc_HOL_Obool), tc_fun(_u11420, tc_HOL_Obool)), _u11419), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11420)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11419), c_fconj), hAPP(hAPP(c_COMBC(_u11419, tc_fun(_u11419, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11419)), _u11421)))), hAPP(hAPP(c_COMBC(_u11420, tc_fun(_u11420, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11420)), _u11422))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u11425 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11425, _u11427) = _u11427) )).
% 12.28/12.48 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u11426 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11426, _u11428) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u11426), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u11428))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u11429, _u11430) = 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, _u11429))), 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), _u11430)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11430))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11430))))), 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)), _u11430)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u11430))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__correct-1, axiom, ( ( _u11431 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11432, _u11431), c_Divides_Odivmod__int(_u11432, _u11431))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11433, _u11434), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11435), _u11436))) | ( _u11434 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11437)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11433, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11434), _u11437)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11435), _u11437)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11434), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11435, _u11437))), _u11436)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Osize_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u11438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11439)) | hBOOL(hAPP(hAPP(c_member(_u11438), hAPP(c_Int_Onumber__class_Onumber__of(_u11438), _u11439)), c_Nat_Osemiring__1__class_ONats(_u11438))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11444, tc_fun(_u11446, tc_HOL_Obool))), _u11448), _u11450)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11444, _u11446)), hAPP(hAPP(c_Product__Type_OPair(_u11444, _u11446), _u11448), _u11450)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11444, _u11446), tc_HOL_Obool)))) )).
% 12.28/12.48 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11445, _u11447)), hAPP(hAPP(c_Product__Type_OPair(_u11445, _u11447), _u11449), _u11451)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11445, _u11447), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11445, tc_fun(_u11447, tc_HOL_Obool))), _u11449), _u11451)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u11460 = _u11462) | ( hAPP(hAPP(c_COMBC(_u11456, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), _u11456), c_COMBC(_u11458, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_prod(_u11456, _u11458)), tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), _u11456), hAPP(c_COMBB(tc_prod(_u11456, _u11458), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool), _u11458), c_member(tc_prod(_u11456, _u11458)))), c_Product__Type_OPair(_u11456, _u11458)))), _u11460) != hAPP(hAPP(c_COMBC(_u11456, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), _u11456), c_COMBC(_u11458, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_prod(_u11456, _u11458)), tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), _u11456), hAPP(c_COMBB(tc_prod(_u11456, _u11458), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool), _u11458), c_member(tc_prod(_u11456, _u11458)))), c_Product__Type_OPair(_u11456, _u11458)))), _u11462)) )).
% 12.28/12.48 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u11461 != _u11463) | ( hAPP(hAPP(c_COMBC(_u11457, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), _u11457), c_COMBC(_u11459, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_prod(_u11457, _u11459)), tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), _u11457), hAPP(c_COMBB(tc_prod(_u11457, _u11459), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool), _u11459), c_member(tc_prod(_u11457, _u11459)))), c_Product__Type_OPair(_u11457, _u11459)))), _u11461) = hAPP(hAPP(c_COMBC(_u11457, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), _u11457), c_COMBC(_u11459, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_prod(_u11457, _u11459)), tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), _u11457), hAPP(c_COMBB(tc_prod(_u11457, _u11459), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool), _u11459), c_member(tc_prod(_u11457, _u11459)))), c_Product__Type_OPair(_u11457, _u11459)))), _u11463)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11470, tc_fun(_u11472, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11470, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), _u11470), c_COMBC(_u11472, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_prod(_u11470, _u11472)), tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), _u11470), hAPP(c_COMBB(tc_prod(_u11470, _u11472), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool), _u11472), c_member(tc_prod(_u11470, _u11472)))), c_Product__Type_OPair(_u11470, _u11472)))), _u11474)), hAPP(hAPP(c_COMBC(_u11470, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), _u11470), c_COMBC(_u11472, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_prod(_u11470, _u11472)), tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), _u11470), hAPP(c_COMBB(tc_prod(_u11470, _u11472), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool), _u11472), c_member(tc_prod(_u11470, _u11472)))), c_Product__Type_OPair(_u11470, _u11472)))), _u11476)), _u11478), _u11480)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11470, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11470, _u11472), _u11478), _u11480)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool)), _u11474), _u11476))) )).
% 12.28/12.48 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11471, _u11473)), hAPP(hAPP(c_Product__Type_OPair(_u11471, _u11473), _u11479), _u11481)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool)), _u11475), _u11477))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11471, tc_fun(_u11473, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11471, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), _u11471), c_COMBC(_u11473, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_prod(_u11471, _u11473)), tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), _u11471), hAPP(c_COMBB(tc_prod(_u11471, _u11473), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool), _u11473), c_member(tc_prod(_u11471, _u11473)))), c_Product__Type_OPair(_u11471, _u11473)))), _u11475)), hAPP(hAPP(c_COMBC(_u11471, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), _u11471), c_COMBC(_u11473, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_prod(_u11471, _u11473)), tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), _u11471), hAPP(c_COMBB(tc_prod(_u11471, _u11473), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool), _u11473), c_member(tc_prod(_u11471, _u11473)))), c_Product__Type_OPair(_u11471, _u11473)))), _u11477)), _u11479), _u11481)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11486, tc_fun(_u11488, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11486, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), _u11486), c_COMBC(_u11488, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_prod(_u11486, _u11488)), tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), _u11486), hAPP(c_COMBB(tc_prod(_u11486, _u11488), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool), _u11488), c_member(tc_prod(_u11486, _u11488)))), c_Product__Type_OPair(_u11486, _u11488)))), _u11490)), hAPP(hAPP(c_COMBC(_u11486, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), _u11486), c_COMBC(_u11488, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_prod(_u11486, _u11488)), tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), _u11486), hAPP(c_COMBB(tc_prod(_u11486, _u11488), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool), _u11488), c_member(tc_prod(_u11486, _u11488)))), c_Product__Type_OPair(_u11486, _u11488)))), _u11492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool)), _u11490), _u11492)) )).
% 12.28/12.48 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool)), _u11491), _u11493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11487, tc_fun(_u11489, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11487, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), _u11487), c_COMBC(_u11489, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_prod(_u11487, _u11489)), tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), _u11487), hAPP(c_COMBB(tc_prod(_u11487, _u11489), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool), _u11489), c_member(tc_prod(_u11487, _u11489)))), c_Product__Type_OPair(_u11487, _u11489)))), _u11491)), hAPP(hAPP(c_COMBC(_u11487, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), _u11487), c_COMBC(_u11489, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_prod(_u11487, _u11489)), tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), _u11487), hAPP(c_COMBB(tc_prod(_u11487, _u11489), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool), _u11489), c_member(tc_prod(_u11487, _u11489)))), c_Product__Type_OPair(_u11487, _u11489)))), _u11493))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11500, tc_fun(_u11502, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11500, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), _u11500), c_COMBC(_u11502, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_prod(_u11500, _u11502)), tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), _u11500), hAPP(c_COMBB(tc_prod(_u11500, _u11502), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool), _u11502), c_member(tc_prod(_u11500, _u11502)))), c_Product__Type_OPair(_u11500, _u11502)))), _u11504)), hAPP(hAPP(c_COMBC(_u11500, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), _u11500), c_COMBC(_u11502, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_prod(_u11500, _u11502)), tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), _u11500), hAPP(c_COMBB(tc_prod(_u11500, _u11502), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool), _u11502), c_member(tc_prod(_u11500, _u11502)))), c_Product__Type_OPair(_u11500, _u11502)))), _u11506)), _u11508), _u11510)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11500, _u11502)), hAPP(hAPP(c_Product__Type_OPair(_u11500, _u11502), _u11508), _u11510)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool)), _u11504), _u11506))) )).
% 12.28/12.48 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11501, _u11503)), hAPP(hAPP(c_Product__Type_OPair(_u11501, _u11503), _u11509), _u11511)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool)), _u11505), _u11507))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11501, tc_fun(_u11503, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11501, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), _u11501), c_COMBC(_u11503, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_prod(_u11501, _u11503)), tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), _u11501), hAPP(c_COMBB(tc_prod(_u11501, _u11503), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool), _u11503), c_member(tc_prod(_u11501, _u11503)))), c_Product__Type_OPair(_u11501, _u11503)))), _u11505)), hAPP(hAPP(c_COMBC(_u11501, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), _u11501), c_COMBC(_u11503, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_prod(_u11501, _u11503)), tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), _u11501), hAPP(c_COMBB(tc_prod(_u11501, _u11503), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool), _u11503), c_member(tc_prod(_u11501, _u11503)))), c_Product__Type_OPair(_u11501, _u11503)))), _u11507)), _u11509), _u11511)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u11512) | ~class_Enum_Oenum(_u11513) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u11513, _u11512)), _u11514)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u11513), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_HOL_Obool, _u11513), c_Enum_Oenum__class_Oenum__ex(_u11512)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_prod(_u11513, _u11512)), tc_fun(_u11512, tc_HOL_Obool), _u11513), hAPP(c_COMBB(tc_prod(_u11513, _u11512), tc_HOL_Obool, _u11512), _u11514)), c_Product__Type_OPair(_u11513, _u11512))))) )).
% 12.28/12.48 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u11512) | ~class_Enum_Oenum(_u11513) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u11513), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_HOL_Obool, _u11513), c_Enum_Oenum__class_Oenum__ex(_u11512)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_prod(_u11513, _u11512)), tc_fun(_u11512, tc_HOL_Obool), _u11513), hAPP(c_COMBB(tc_prod(_u11513, _u11512), tc_HOL_Obool, _u11512), _u11514)), c_Product__Type_OPair(_u11513, _u11512))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u11513, _u11512)), _u11514)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u11515) | ~class_Enum_Oenum(_u11516) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u11516, _u11515)), _u11517)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u11516), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_HOL_Obool), tc_HOL_Obool, _u11516), c_Enum_Oenum__class_Oenum__all(_u11515)), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_prod(_u11516, _u11515)), tc_fun(_u11515, tc_HOL_Obool), _u11516), hAPP(c_COMBB(tc_prod(_u11516, _u11515), tc_HOL_Obool, _u11515), _u11517)), c_Product__Type_OPair(_u11516, _u11515))))) )).
% 12.28/12.48 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u11515) | ~class_Enum_Oenum(_u11516) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u11516), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_HOL_Obool), tc_HOL_Obool, _u11516), c_Enum_Oenum__class_Oenum__all(_u11515)), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_prod(_u11516, _u11515)), tc_fun(_u11515, tc_HOL_Obool), _u11516), hAPP(c_COMBB(tc_prod(_u11516, _u11515), tc_HOL_Obool, _u11515), _u11517)), c_Product__Type_OPair(_u11516, _u11515))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u11516, _u11515)), _u11517)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11525), _u11527), hAPP(c_Relation_OImage(_u11529, _u11525, _u11531), _u11533))) | hBOOL(hAPP(hAPP(c_member(_u11529), skolem293(_u11533, _u11531, _u11529, _u11527, _u11525)), _u11533)) )).
% 12.28/12.48 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11525), _u11527), hAPP(c_Relation_OImage(_u11529, _u11525, _u11531), _u11533))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11529, _u11525)), hAPP(hAPP(c_Product__Type_OPair(_u11529, _u11525), skolem293(_u11533, _u11531, _u11529, _u11527, _u11525)), _u11527)), _u11531)) )).
% 12.28/12.48 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11530), _u11519), _u11534)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11530, _u11526)), hAPP(hAPP(c_Product__Type_OPair(_u11530, _u11526), _u11519), _u11528)), _u11532)) | hBOOL(hAPP(hAPP(c_member(_u11526), _u11528), hAPP(c_Relation_OImage(_u11530, _u11526, _u11532), _u11534))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11535), _u11536), _u11537)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11535, _u11538)), hAPP(hAPP(c_Product__Type_OPair(_u11535, _u11538), _u11536), _u11539)), _u11540)) | hBOOL(hAPP(hAPP(c_member(_u11538), _u11539), hAPP(c_Relation_OImage(_u11535, _u11538, _u11540), _u11537))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11541, _u11542), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11543), _u11544))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11541, _u11542), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11545), _u11546))) | ( _u11542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11544 = _u11546) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11547, _u11548), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11549), _u11550))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11547, _u11548), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11551), _u11552))) | ( _u11548 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11549 = _u11551) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11553, _u11553), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11554), _u11555))) | ( _u11553 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11555 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u11556 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11556), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11563, tc_fun(_u11565, tc_fun(_u11567, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11563, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_fun(_u11565, tc_fun(_u11567, tc_HOL_Obool)), _u11563), hAPP(c_COMBC(_u11565, tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_fun(_u11567, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11567, tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_fun(_u11567, tc_HOL_Obool)), _u11565), c_COMBC(_u11567, tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11567, tc_prod(_u11565, _u11567)), tc_fun(_u11567, tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool)), _u11565), hAPP(c_COMBB(tc_prod(_u11565, _u11567), tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool), _u11567), c_member(tc_prod(_u11565, _u11567)))), c_Product__Type_OPair(_u11565, _u11567))))), _u11569)), _u11571), _u11573)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11565, _u11567)), hAPP(hAPP(c_Product__Type_OPair(_u11565, _u11567), _u11571), _u11573)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11563, tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11563, tc_HOL_Obool))), _u11569))) )).
% 12.28/12.48 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11566, _u11568)), hAPP(hAPP(c_Product__Type_OPair(_u11566, _u11568), _u11572), _u11574)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11564, tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11564, tc_HOL_Obool))), _u11570))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11564, tc_fun(_u11566, tc_fun(_u11568, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11564, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_fun(_u11566, tc_fun(_u11568, tc_HOL_Obool)), _u11564), hAPP(c_COMBC(_u11566, tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_fun(_u11568, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11568, tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_fun(_u11568, tc_HOL_Obool)), _u11566), c_COMBC(_u11568, tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11568, tc_prod(_u11566, _u11568)), tc_fun(_u11568, tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool)), _u11566), hAPP(c_COMBB(tc_prod(_u11566, _u11568), tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool), _u11568), c_member(tc_prod(_u11566, _u11568)))), c_Product__Type_OPair(_u11566, _u11568))))), _u11570)), _u11572), _u11574)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11581, tc_fun(_u11583, tc_fun(_u11585, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_fun(_u11583, tc_fun(_u11585, tc_HOL_Obool)), _u11581), hAPP(c_COMBC(_u11583, tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_fun(_u11585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11585, tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_fun(_u11585, tc_HOL_Obool)), _u11583), c_COMBC(_u11585, tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11585, tc_prod(_u11583, _u11585)), tc_fun(_u11585, tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool)), _u11583), hAPP(c_COMBB(tc_prod(_u11583, _u11585), tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool), _u11585), c_member(tc_prod(_u11583, _u11585)))), c_Product__Type_OPair(_u11583, _u11585))))), _u11587)), _u11589), _u11591)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11583, _u11585)), hAPP(hAPP(c_Product__Type_OPair(_u11583, _u11585), _u11589), _u11591)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11581, tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))), _u11587))) )).
% 12.28/12.48 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11584, _u11586)), hAPP(hAPP(c_Product__Type_OPair(_u11584, _u11586), _u11590), _u11592)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11582, tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11582, tc_HOL_Obool))), _u11588))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11582, tc_fun(_u11584, tc_fun(_u11586, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_fun(_u11584, tc_fun(_u11586, tc_HOL_Obool)), _u11582), hAPP(c_COMBC(_u11584, tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_fun(_u11586, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11586, tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_fun(_u11586, tc_HOL_Obool)), _u11584), c_COMBC(_u11586, tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11586, tc_prod(_u11584, _u11586)), tc_fun(_u11586, tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool)), _u11584), hAPP(c_COMBB(tc_prod(_u11584, _u11586), tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool), _u11586), c_member(tc_prod(_u11584, _u11586)))), c_Product__Type_OPair(_u11584, _u11586))))), _u11588)), _u11590), _u11592)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11593, _u11593), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11594), _u11595))) | ( _u11593 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11594 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11596, _u11597), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11598), _u11599))) | ( _u11597 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11596, _u11597) = _u11599) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11600, _u11601), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11602), _u11603))) | ( _u11601 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11600), _u11601) = _u11602) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u11604) | hBOOL(hAPP(hAPP(c_member(_u11604), c_Groups_Ozero__class_Ozero(_u11604)), c_Nat_Osemiring__1__class_ONats(_u11604))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u11605, _u11606) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11605), _u11606)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11605, _u11606))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u11607) | ~hBOOL(hAPP(hAPP(c_member(_u11607), _u11608), c_Nat_Osemiring__1__class_ONats(_u11607))) | ~hBOOL(hAPP(hAPP(c_member(_u11607), _u11609), c_Nat_Osemiring__1__class_ONats(_u11607))) | hBOOL(hAPP(hAPP(c_member(_u11607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11607), _u11608), _u11609)), c_Nat_Osemiring__1__class_ONats(_u11607))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u11610) | ~hBOOL(hAPP(hAPP(c_member(_u11610), _u11611), c_Nat_Osemiring__1__class_ONats(_u11610))) | ~hBOOL(hAPP(hAPP(c_member(_u11610), _u11612), c_Nat_Osemiring__1__class_ONats(_u11610))) | hBOOL(hAPP(hAPP(c_member(_u11610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11610), _u11611), _u11612)), c_Nat_Osemiring__1__class_ONats(_u11610))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u11613) | hBOOL(hAPP(hAPP(c_member(_u11613), c_Groups_Oone__class_Oone(_u11613)), c_Nat_Osemiring__1__class_ONats(_u11613))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u11614) | hBOOL(hAPP(hAPP(c_member(_u11614), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11614), _u11615)), c_Nat_Osemiring__1__class_ONats(_u11614))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11621), _u11623), hAPP(c_Relation_OImage(_u11625, _u11621, _u11627), hAPP(hAPP(c_Set_Oinsert(_u11625), _u11629), c_Orderings_Obot__class_Obot(tc_fun(_u11625, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11625, _u11621)), hAPP(hAPP(c_Product__Type_OPair(_u11625, _u11621), _u11629), _u11623)), _u11627)) )).
% 12.28/12.48 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11626, _u11622)), hAPP(hAPP(c_Product__Type_OPair(_u11626, _u11622), _u11630), _u11624)), _u11628)) | hBOOL(hAPP(hAPP(c_member(_u11622), _u11624), hAPP(c_Relation_OImage(_u11626, _u11622, _u11628), hAPP(hAPP(c_Set_Oinsert(_u11626), _u11630), c_Orderings_Obot__class_Obot(tc_fun(_u11626, tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u11631 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11632, _u11631), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11632), _u11631)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11632, _u11631)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u11633, _u11634, _u11635), hAPP(hAPP(c_Set_Oinsert(_u11633), _u11636), c_Orderings_Obot__class_Obot(tc_fun(_u11633, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u11634), hAPP(hAPP(c_COMBC(_u11634, tc_fun(tc_prod(_u11633, _u11634), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u11633, _u11634), tc_fun(tc_fun(tc_prod(_u11633, _u11634), tc_HOL_Obool), tc_HOL_Obool), _u11634), c_member(tc_prod(_u11633, _u11634))), hAPP(c_Product__Type_OPair(_u11633, _u11634), _u11636))), _u11635))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11637, _u11638), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11639), _u11640))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11641, _u11638), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11642), _u11643))) | ( _u11638 = 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), _u11637), _u11641), _u11638), 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), _u11639), _u11642)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11640), _u11643)), _u11638))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11640), _u11643), _u11638)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11644, _u11645), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11646), _u11647))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11644), _u11645), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11647), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11646)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11646)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11647), 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), _u11645), _u11647))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__relI-1, axiom, ( ( _u11648 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11649), _u11650)), _u11651)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11648, _u11649), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11650), _u11651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11649), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11651), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_divmod__int__relI-2, axiom, ( ( _u11648 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11649), _u11650)), _u11651)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11648, _u11649), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11650), _u11651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11651), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11649)) )).
% 12.28/12.48 cnf(fact_divmod__int__relI-3, axiom, ( ( _u11648 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11649), _u11650)), _u11651)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11648, _u11649), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11650), _u11651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11651), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11649), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11651), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11652, _u11653), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11654), _u11655))) | ( _u11653 = 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), _u11656), _u11652), _u11653), 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), _u11656), _u11654)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11656), _u11655)), _u11653))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11656), _u11655), _u11653)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11657, _u11658)), hAPP(hAPP(c_Product__Type_OPair(_u11657, _u11658), _u11659), _u11660)), _u11661)) | hBOOL(hAPP(hAPP(c_member(_u11662), hAPP(hAPP(_u11663, _u11659), _u11660)), hAPP(c_Set_Oimage(tc_prod(_u11657, _u11658), _u11662, hAPP(c_Product__Type_Oprod_Oprod__case(_u11657, _u11658, _u11662), _u11663)), _u11661))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11666), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11668, _u11666) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11668), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11666))) )).
% 12.28/12.48 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11667), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11669, _u11667) = 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))) | ( _u11669 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11667), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11669, _u11667) = 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))) | ( _u11667 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11667), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11669 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11667 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11669, _u11667) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11669), _u11667)), 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), _u11669))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11667)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u11670), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11671), _u11672)) = 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), _u11672), _u11670)), 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)))), _u11671)), 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)))), _u11671)), _u11672)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u11675, _u11677), _u11678)) | hBOOL(hAPP(hAPP(_u11676, _u11677), _u11678)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11673, tc_fun(_u11674, tc_HOL_Obool))), _u11675), _u11676), _u11677), _u11678)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11683, tc_fun(_u11684, tc_HOL_Obool))), _u11682), _u11679), _u11680), _u11681)) | ~hBOOL(hAPP(hAPP(_u11679, _u11680), _u11681)) )).
% 12.28/12.48 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11683, tc_fun(_u11684, tc_HOL_Obool))), _u11682), _u11679), _u11680), _u11681)) | ~hBOOL(hAPP(hAPP(_u11682, _u11680), _u11681)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11685, _u11686), _u11687)) | ~hBOOL(hAPP(hAPP(_u11688, _u11686), _u11687)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11689, tc_fun(_u11690, tc_HOL_Obool))), _u11685), _u11688), _u11686), _u11687)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11691, tc_fun(_u11692, tc_HOL_Obool))), _u11693), _u11694), _u11695), _u11696)) | hBOOL(hAPP(hAPP(_u11693, _u11695), _u11696)) )).
% 12.28/12.48 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11691, tc_fun(_u11692, tc_HOL_Obool))), _u11693), _u11694), _u11695), _u11696)) | hBOOL(hAPP(hAPP(_u11694, _u11695), _u11696)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11697), _u11698), hAPP(hAPP(_u11699, _u11700), _u11701))) | hBOOL(hAPP(hAPP(c_member(_u11697), _u11698), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11702, _u11703, tc_fun(_u11697, tc_HOL_Obool)), _u11699), hAPP(hAPP(c_Product__Type_OPair(_u11702, _u11703), _u11700), _u11701)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_splitI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11704, _u11705), _u11706)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11707, _u11708, tc_HOL_Obool), _u11704), hAPP(hAPP(c_Product__Type_OPair(_u11707, _u11708), _u11705), _u11706))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11709, _u11710), _u11711)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11712, _u11713, tc_HOL_Obool), _u11709), hAPP(hAPP(c_Product__Type_OPair(_u11712, _u11713), _u11710), _u11711))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11714, tc_fun(_u11715, tc_HOL_Obool))), _u11716), _u11717)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u11718, _u11719), tc_prod(_u11719, _u11718), hAPP(c_Product__Type_Oprod_Oprod__case(_u11718, _u11719, tc_prod(_u11719, _u11718)), hAPP(c_COMBC(_u11719, _u11718, tc_prod(_u11719, _u11718)), c_Product__Type_OPair(_u11719, _u11718))), _u11720) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u11724, _u11725), _u11726), _u11727)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11721, _u11722, tc_fun(_u11723, tc_HOL_Obool)), _u11724), hAPP(hAPP(c_Product__Type_OPair(_u11721, _u11722), _u11725), _u11726)), _u11727)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u11730, _u11732), _u11733)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11728, tc_fun(_u11729, tc_HOL_Obool))), _u11730), _u11731), _u11732), _u11733)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u11737, _u11738), _u11739)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11734, tc_fun(_u11735, tc_HOL_Obool))), _u11736), _u11737), _u11738), _u11739)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11740, _u11741), _u11742)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11743, tc_fun(_u11744, tc_HOL_Obool))), _u11740), _u11745), _u11741), _u11742)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11746, _u11747), _u11748)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11749, tc_fun(_u11750, tc_HOL_Obool))), _u11751), _u11746), _u11747), _u11748)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11752, _u11753), _u11754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11755, tc_fun(_u11756, tc_HOL_Obool))), _u11752), _u11757)) | hBOOL(hAPP(hAPP(_u11757, _u11753), _u11754)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11760, _u11762), _u11763)) | hBOOL(hAPP(hAPP(_u11761, _u11762), _u11763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11758, tc_fun(_u11759, tc_HOL_Obool))), _u11760), _u11761)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11766), _u11767) != hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11768), _u11769)) | ( _u11766 = _u11768) )).
% 12.28/12.48 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11766), _u11767) != hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11768), _u11769)) | ( _u11767 = _u11769) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11780), _u11782) != hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11784), _u11786)) | ( _u11780 = _u11784) )).
% 12.28/12.48 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11780), _u11782) != hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11784), _u11786)) | ( _u11782 = _u11786) )).
% 12.28/12.48 cnf(fact_Pair__eq-3, axiom, ( ( _u11781 != _u11785) | ( _u11783 != _u11787) | ( hAPP(hAPP(c_Product__Type_OPair(_u11777, _u11779), _u11781), _u11783) = hAPP(hAPP(c_Product__Type_OPair(_u11777, _u11779), _u11785), _u11787)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u11797, skolem294(_u11801, _u11799, _u11797))) | hBOOL(hAPP(_u11797, hAPP(hAPP(c_Product__Type_OPair(_u11799, _u11801), _u11790), _u11789))) )).
% 12.28/12.48 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u11798, hAPP(hAPP(c_Product__Type_OPair(_u11800, _u11802), skolem295(_u11802, _u11800, _u11798)), skolem296(_u11802, _u11800, _u11798)))) | hBOOL(hAPP(_u11798, _u11793)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__weak__cong-1, axiom, ( ( _u11803 != _u11804) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11805, _u11806, _u11807), _u11808), _u11803) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11805, _u11806, _u11807), _u11808), _u11804)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11809, _u11810, _u11811), _u11812), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11813, _u11814, tc_prod(_u11809, _u11810)), _u11815), _u11816)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11813, _u11814, _u11811), hAPP(hAPP(c_COMBB(tc_fun(_u11814, tc_prod(_u11809, _u11810)), tc_fun(_u11814, _u11811), _u11813), hAPP(c_COMBB(tc_prod(_u11809, _u11810), _u11811, _u11814), hAPP(c_Product__Type_Oprod_Oprod__case(_u11809, _u11810, _u11811), _u11812))), _u11815)), _u11816)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11817, _u11818, _u11819), _u11820), hAPP(hAPP(c_Product__Type_OPair(_u11817, _u11818), _u11821), _u11822)) = hAPP(hAPP(_u11820, _u11821), _u11822)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11823, _u11824, _u11825), _u11826), hAPP(hAPP(c_Product__Type_OPair(_u11823, _u11824), _u11827), _u11828)) = hAPP(hAPP(_u11826, _u11827), _u11828)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_splitD ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u11831, _u11832), _u11833)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11829, _u11830, tc_HOL_Obool), _u11831), hAPP(hAPP(c_Product__Type_OPair(_u11829, _u11830), _u11832), _u11833))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u11834, _u11835, _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11835, tc_prod(_u11834, _u11835)), tc_fun(_u11835, _u11836), _u11834), hAPP(c_COMBB(tc_prod(_u11834, _u11835), _u11836, _u11835), _u11837)), c_Product__Type_OPair(_u11834, _u11835))) = _u11837) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11838, _u11839), hAPP(c_Product__Type_Oprod_Oprod__case(_u11838, _u11839, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11838, tc_fun(_u11839, tc_HOL_Obool), tc_fun(_u11839, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11839, tc_HOL_Obool), tc_fun(_u11839, tc_HOL_Obool)), _u11838), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11839)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11838), c_fconj), hAPP(c_fequal, _u11840)))), hAPP(c_fequal, _u11841)))) = hAPP(hAPP(c_Product__Type_OPair(_u11838, _u11839), _u11840), _u11841)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11842, _u11843), _u11844) = c_HOL_OThe(tc_prod(_u11842, _u11843), hAPP(c_Product__Type_Oprod_Oprod__case(_u11842, _u11843, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11843, tc_prod(_u11842, _u11843)), tc_fun(_u11843, tc_HOL_Obool), _u11842), hAPP(c_COMBB(tc_prod(_u11842, _u11843), tc_HOL_Obool, _u11843), _u11844)), c_Product__Type_OPair(_u11842, _u11843))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u11845) = 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)), _u11845))))), 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)), _u11845))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11851, _u11853, _u11855), _u11857), _u11859)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11851, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11851, _u11853), _u11857), _u11859)), _u11855)) )).
% 12.28/12.48 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11852, _u11854)), hAPP(hAPP(c_Product__Type_OPair(_u11852, _u11854), _u11858), _u11860)), _u11856)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11852, _u11854, _u11856), _u11858), _u11860)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11861, _u11862) = 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), _u11861), _u11862)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11861, _u11862))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11863))) | ~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), _u11863)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11863)) = 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), _u11863)))) )).
% 12.28/12.48 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), _u11863))) | 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), _u11863)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11863)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11863)), 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), _u11863))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11864), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11865)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11864, _u11865), c_Divides_OnegDivAlg(_u11864, _u11865))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11866), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11867)) | ( c_Divides_OnegDivAlg(_u11866, _u11867) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11866), _u11867)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11866, _u11867))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11868) = 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), _u11868), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u11871, _u11873) = 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), _u11871), _u11873))) | ~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), _u11871), _u11873))) )).
% 12.28/12.48 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u11871, _u11873) = 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), _u11871), _u11873))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11873), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 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), _u11872), _u11874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11874), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11872, _u11874) = hAPP(c_Divides_Oadjust(_u11874), c_Divides_OnegDivAlg(_u11872, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11874)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11875))) | ~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), _u11876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11876), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)) = 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), _u11876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)))) )).
% 12.28/12.48 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), _u11875))) | 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), _u11876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11876), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11876), hAPP(hAPP(c_Groups_Otimes__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), _u11875))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11877)) | ~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), _u11878), _u11877))) | ( c_Divides_OnegDivAlg(_u11878, _u11877) = 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), _u11878), _u11877))) )).
% 12.28/12.48 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)), _u11877)) | 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), _u11878), _u11877))) | ( c_Divides_OnegDivAlg(_u11878, _u11877) = hAPP(c_Divides_Oadjust(_u11877), c_Divides_OnegDivAlg(_u11878, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11877)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u11883, _u11885) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11883, _u11883)), hAPP(hAPP(c_Product__Type_OPair(_u11883, _u11883), _u11879), _u11879)), _u11885)) )).
% 12.28/12.48 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11884, _u11884)), hAPP(hAPP(c_Product__Type_OPair(_u11884, _u11884), skolem297(_u11886, _u11884)), skolem297(_u11886, _u11884))), _u11886)) | c_Nitpick_Orefl_H(_u11884, _u11886) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11887))) | ~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), _u11887))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11887)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.28/12.48 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), _u11887))) | 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), _u11887))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11887)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11887)), 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), _u11887))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u11890, _u11892) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11890), _u11892)) )).
% 12.28/12.48 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u11890, _u11892) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11892), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11891), _u11893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11893), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11891, _u11893) = hAPP(c_Divides_Oadjust(_u11893), c_Divides_OposDivAlg(_u11891, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11893)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11894) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11896)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11895, _u11896), c_Divides_OposDivAlg(_u11895, _u11896))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11898)) | ( c_Divides_OposDivAlg(_u11897, _u11898) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11897), _u11898)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11897, _u11898))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11899))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899)) = 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), _u11900))) )).
% 12.28/12.48 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), _u11899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900), hAPP(hAPP(c_Groups_Otimes__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), _u11899))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11902), _u11901)) | ( c_Divides_OposDivAlg(_u11902, _u11901) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11902)) )).
% 12.28/12.48 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)), _u11901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11902), _u11901)) | ( c_Divides_OposDivAlg(_u11902, _u11901) = hAPP(c_Divides_Oadjust(_u11901), c_Divides_OposDivAlg(_u11902, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11901)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11907)) | ( c_Divides_Odivmod__int(_u11905, _u11907) = c_Divides_OposDivAlg(_u11905, _u11907)) )).
% 12.28/12.48 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)), _u11905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11907)) | ( _u11905 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11905, _u11907) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 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)), _u11905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11907)) | ( _u11905 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11905, _u11907) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11905), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11907)))) )).
% 12.28/12.48 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)), _u11906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11908)) | ( c_Divides_Odivmod__int(_u11906, _u11908) = c_Divides_OnegDivAlg(_u11906, _u11908)) )).
% 12.28/12.48 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)), _u11906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11908)) | ( c_Divides_Odivmod__int(_u11906, _u11908) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11906), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11908)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u11909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11909), _u11910)) | ( c_Divides_Odivmod__nat(_u11910, _u11909) = 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), _u11910), _u11909)), _u11909))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11910), _u11909), _u11909))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u11913 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11913, _u11915) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u11914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11916 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11914, _u11916) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11914)) )).
% 12.28/12.48 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u11914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11916 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11914, _u11916) = 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, _u11916))), 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)), _u11916)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11914))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11916), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u11914, _u11916)), 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), _u11916))))), c_Divides_Opdivmod(_u11914, _u11916))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11917, _u11918, _u11919, _u11920), hAPP(c_Product__Type_Oapsnd(_u11921, _u11917, _u11919, _u11922), _u11923)) = hAPP(c_Product__Type_Oapsnd(_u11921, _u11918, _u11919, hAPP(c_Fun_Ocomp(_u11917, _u11918, _u11921, _u11920), _u11922)), _u11923)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_negateSnd__def-1, axiom, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11924, _u11925, _u11926, _u11927), hAPP(hAPP(c_Product__Type_OPair(_u11926, _u11924), _u11928), _u11929)) = hAPP(hAPP(c_Product__Type_OPair(_u11926, _u11925), _u11928), hAPP(_u11927, _u11929))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u11930, 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)), _u11930)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11931), _u11932)) | ( c_Divides_Odivmod__nat(_u11931, _u11932) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11931)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11933), _u11934)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11933), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11934))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u11935, _u11936) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11935), _u11936)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11935, _u11936))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11937), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11938)), _u11939)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11937, _u11938), hAPP(c_Divides_OnegateSnd, _u11939))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u11944, _u11942) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11944)) | ( _u11942 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u11944, _u11942) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11944), _u11942)) )).
% 12.28/12.48 cnf(fact_divmod__nat__if-3, axiom, ( ( _u11943 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11945), _u11943)) | ( c_Divides_Odivmod__nat(_u11945, _u11943) = 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), _u11945), _u11943), _u11943))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u11946, _u11947) = 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), _u11946)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11947))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11946), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11947)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u11950 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11952, _u11950) = 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), _u11952))) )).
% 12.28/12.48 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u11951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11953, _u11951) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11953), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11951))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__int__code-1, axiom, ( ( _u11956 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11956, _u11958) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 cnf(fact_divmod__int__code-2, axiom, ( ( _u11957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11959 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11957, _u11959) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11957)) )).
% 12.28/12.48 cnf(fact_divmod__int__code-3, axiom, ( ( _u11957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11959 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11957, _u11959) = 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, _u11959))), 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, _u11957)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11959))), c_Divides_Opdivmod(_u11957, _u11959)), 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), _u11959))))), c_Divides_Opdivmod(_u11957, _u11959))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11960, _u11961), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11962), _u11963))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11961)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11964), _u11960), _u11961), 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), _u11964), _u11962)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11964), _u11963)), _u11961))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11964), _u11963), _u11961)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11965, _u11966), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11967), _u11968))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11969)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11965, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11966), _u11969)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11967), _u11969)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11966), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11967, _u11969))), _u11968)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.28/12.48 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), _u11970), _u11971))) | ( c_Divides_OnegDivAlg(_u11970, _u11971) = 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), _u11970), _u11971))) | ~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), _u11970), _u11971))) )).
% 12.28/12.48 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), _u11970), _u11971))) | ( c_Divides_OnegDivAlg(_u11970, _u11971) = 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), _u11970), _u11971))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 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), _u11970), _u11971))) | 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), _u11970), _u11971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11970, _u11971) = hAPP(c_Divides_Oadjust(_u11971), c_Divides_OnegDivAlg(_u11970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11971)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11972, _u11973), _u11974)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11972, _u11973), _u11975)) | ( _u11974 = _u11975) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11976, _u11977), c_Divides_Odivmod__nat(_u11976, _u11977))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11978, _u11979), _u11980)) | ( c_Divides_Odivmod__nat(_u11978, _u11979) = _u11980) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u11981, _u11982) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11981, _u11982))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11983, _u11984), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11985), _u11986))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11983, _u11984) = _u11986) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11987, _u11988), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11989), _u11990))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11987), _u11988) = _u11989) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11991, _u11992), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11991), _u11992)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11991, _u11992)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11993, _u11994), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11995), _u11996))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11997, _u11994), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11998), _u11999))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11994)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11993), _u11997), _u11994), 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), _u11995), _u11998)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11996), _u11999)), _u11994))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11996), _u11999), _u11994)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12000), _u12001))) | ( c_Divides_OposDivAlg(_u12000, _u12001) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12000), _u12001)) )).
% 12.28/12.48 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), _u12000), _u12001))) | ( c_Divides_OposDivAlg(_u12000, _u12001) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12001), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.48 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), _u12000), _u12001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12000), _u12001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12001), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u12000, _u12001) = hAPP(c_Divides_Oadjust(_u12001), c_Divides_OposDivAlg(_u12000, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u12001)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12002), _u12003))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12002), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12003))) )).
% 12.28/12.48 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), _u12002), _u12003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = 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))) | ( _u12002 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 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), _u12002), _u12003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = 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))) | ( _u12003 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.28/12.48 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), _u12002), _u12003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u12002 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12003 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u12002), _u12003)), 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), _u12002))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12003)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12006), _u12007))) | hBOOL(hAPP(hAPP(_u12008, _u12006), _u12007)) | 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), skolem298(_u12008, _u12007, _u12006)), skolem299(_u12008, _u12007, _u12006)))) )).
% 12.28/12.48 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), _u12006), _u12007))) | hBOOL(hAPP(hAPP(_u12008, _u12006), _u12007)) | 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), skolem298(_u12008, _u12007, _u12006)), skolem299(_u12008, _u12007, _u12006)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem299(_u12008, _u12007, _u12006)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u12008, skolem298(_u12008, _u12007, _u12006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem299(_u12008, _u12007, _u12006)))) )).
% 12.28/12.48 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), _u12006), _u12007))) | hBOOL(hAPP(hAPP(_u12008, _u12006), _u12007)) | ~hBOOL(hAPP(hAPP(_u12008, skolem298(_u12008, _u12007, _u12006)), skolem299(_u12008, _u12007, _u12006))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12011), _u12012))) | hBOOL(hAPP(hAPP(_u12013, _u12011), _u12012)) | 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), skolem300(_u12013, _u12012, _u12011)), skolem301(_u12013, _u12012, _u12011)))) )).
% 12.28/12.48 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), _u12011), _u12012))) | hBOOL(hAPP(hAPP(_u12013, _u12011), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem300(_u12013, _u12012, _u12011)), skolem301(_u12013, _u12012, _u12011))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem301(_u12013, _u12012, _u12011)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u12013, skolem300(_u12013, _u12012, _u12011)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem301(_u12013, _u12012, _u12011)))) )).
% 12.28/12.48 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), _u12011), _u12012))) | hBOOL(hAPP(hAPP(_u12013, _u12011), _u12012)) | ~hBOOL(hAPP(hAPP(_u12013, skolem300(_u12013, _u12012, _u12011)), skolem301(_u12013, _u12012, _u12011))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12014, tc_fun(_u12014, tc_HOL_Obool))), _u12015), _u12016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12014, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u12014, _u12016)), c_Wellfounded_Oaccp(_u12014, _u12015))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12017)), 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), _u12017)) = 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), _u12017)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_snd__eqD-1, axiom, ( ( _u12021 = _u12022) | ( hAPP(c_Product__Type_Osnd(_u12018, _u12019), hAPP(hAPP(c_Product__Type_OPair(_u12018, _u12019), _u12020), _u12021)) != _u12022) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12023, _u12024), hAPP(hAPP(c_Product__Type_OPair(_u12023, _u12024), _u12025), _u12026)) = _u12026) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12027, _u12028), _u12029) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12027, _u12028, _u12028), hAPP(c_COMBK(tc_fun(_u12028, _u12028), _u12027), c_COMBI(_u12028))), _u12029)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12030, _u12031), hAPP(c_Product__Type_Oapsnd(_u12032, _u12031, _u12030, _u12033), _u12034)) = hAPP(_u12033, hAPP(c_Product__Type_Osnd(_u12030, _u12032), _u12034))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12041, _u12043, _u12045, _u12047), _u12049) != hAPP(c_Product__Type_Oapsnd(_u12041, _u12043, _u12045, _u12051), _u12049)) | ( hAPP(_u12047, hAPP(c_Product__Type_Osnd(_u12045, _u12041), _u12049)) = hAPP(_u12051, hAPP(c_Product__Type_Osnd(_u12045, _u12041), _u12049))) )).
% 12.28/12.48 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u12048, hAPP(c_Product__Type_Osnd(_u12046, _u12042), _u12050)) != hAPP(_u12052, hAPP(c_Product__Type_Osnd(_u12046, _u12042), _u12050))) | ( hAPP(c_Product__Type_Oapsnd(_u12042, _u12044, _u12046, _u12048), _u12050) = hAPP(c_Product__Type_Oapsnd(_u12042, _u12044, _u12046, _u12052), _u12050)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12053, _u12054) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u12053, _u12054))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12055, _u12056), _u12057)) | ~hBOOL(hAPP(hAPP(_u12056, _u12058), _u12057)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12055, _u12056), _u12058)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12064, _u12066), _u12068)) | ~hBOOL(hAPP(hAPP(_u12066, _u12059), _u12068)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12064, _u12066), _u12059)) )).
% 12.28/12.48 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12065, _u12067), _u12069)) | hBOOL(hAPP(hAPP(_u12067, skolem302(_u12069, _u12067, _u12065)), _u12069)) )).
% 12.28/12.48 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12065, _u12067), _u12069)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12065, _u12067), skolem302(_u12069, _u12067, _u12065))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12075, _u12077), _u12079)) | ~hBOOL(hAPP(hAPP(_u12077, _u12070), _u12079)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12075, _u12077), _u12070)) )).
% 12.28/12.48 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12076, _u12078), _u12080)) | hBOOL(hAPP(hAPP(_u12078, skolem303(_u12080, _u12078, _u12076)), _u12080)) )).
% 12.28/12.48 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12076, _u12078), _u12080)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12076, _u12078), skolem303(_u12080, _u12078, _u12076))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12081), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12082)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12081, _u12082) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u12081, _u12082))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u12083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12084)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12083, _u12084) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u12083, _u12084))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12085))) | ( 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), _u12085)) = 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), _u12085)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u12086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12087), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12086, _u12087) = 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), _u12086), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12087))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12088), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12089), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12088, _u12089) = 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), _u12088), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12089))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12090), _u12091))) | ( _u12091 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12090, _u12091) = _u12090) )).
% 12.28/12.48 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), _u12090), _u12091))) | ( _u12091 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12090, _u12091) = c_Nitpick_Onat__gcd(_u12091, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12090, _u12091))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u12092)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u12092)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12103, _u12099)), hAPP(_u12103, _u12101))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12097, _u12097)), hAPP(hAPP(c_Product__Type_OPair(_u12097, _u12097), _u12099), _u12101)), hAPP(c_Wellfounded_Omeasure(_u12097), _u12103))) )).
% 12.28/12.48 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12104, _u12100)), hAPP(_u12104, _u12102))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12098, _u12098)), hAPP(hAPP(c_Product__Type_OPair(_u12098, _u12098), _u12100), _u12102)), hAPP(c_Wellfounded_Omeasure(_u12098), _u12104))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12105, _u12106) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u12105, _u12106))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat_Osize_I1_J-1, axiom, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u12111, _u12113) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12111, _u12111)), hAPP(hAPP(c_Product__Type_OPair(_u12111, _u12111), _u12107), _u12107)), _u12113)) )).
% 12.28/12.48 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12112, _u12112)), hAPP(hAPP(c_Product__Type_OPair(_u12112, _u12112), skolem304(_u12114, _u12112)), skolem304(_u12114, _u12112))), _u12114)) | c_Relation_Oirrefl(_u12112, _u12114) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12117), _u12118))) | hBOOL(hAPP(hAPP(_u12119, _u12117), _u12118)) | 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), skolem305(_u12119, _u12118, _u12117)), skolem306(_u12119, _u12118, _u12117)))) )).
% 12.28/12.48 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), _u12117), _u12118))) | hBOOL(hAPP(hAPP(_u12119, _u12117), _u12118)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem306(_u12119, _u12118, _u12117)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u12119, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem305(_u12119, _u12118, _u12117))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem306(_u12119, _u12118, _u12117)))) )).
% 12.28/12.48 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), _u12117), _u12118))) | hBOOL(hAPP(hAPP(_u12119, _u12117), _u12118)) | ~hBOOL(hAPP(hAPP(_u12119, skolem305(_u12119, _u12118, _u12117)), skolem306(_u12119, _u12118, _u12117))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12120)), 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), _u12120)) = 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), _u12120)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u12125 != _u12127) | ( hAPP(c_Product__Type_Ofst(_u12129, _u12131), _u12125) = hAPP(c_Product__Type_Ofst(_u12129, _u12131), _u12127)) )).
% 12.28/12.48 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u12125 != _u12127) | ( hAPP(c_Product__Type_Osnd(_u12129, _u12131), _u12125) = hAPP(c_Product__Type_Osnd(_u12129, _u12131), _u12127)) )).
% 12.28/12.48 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12130, _u12132), _u12126) != hAPP(c_Product__Type_Ofst(_u12130, _u12132), _u12128)) | ( hAPP(c_Product__Type_Osnd(_u12130, _u12132), _u12126) != hAPP(c_Product__Type_Osnd(_u12130, _u12132), _u12128)) | ( _u12126 = _u12128) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12133, _u12134), _u12135) != hAPP(c_Product__Type_Ofst(_u12133, _u12134), _u12136)) | ( hAPP(c_Product__Type_Osnd(_u12133, _u12134), _u12135) != hAPP(c_Product__Type_Osnd(_u12133, _u12134), _u12136)) | ( _u12135 = _u12136) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_fst__eqD-1, axiom, ( ( _u12139 = _u12141) | ( hAPP(c_Product__Type_Ofst(_u12137, _u12138), hAPP(hAPP(c_Product__Type_OPair(_u12137, _u12138), _u12139), _u12140)) != _u12141) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12142, _u12143), hAPP(hAPP(c_Product__Type_OPair(_u12142, _u12143), _u12144), _u12145)) = _u12144) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12146, _u12147), _u12148) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12146, _u12147, _u12146), c_COMBK(_u12146, _u12147)), _u12148)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12149, _u12150), hAPP(c_Product__Type_Oapsnd(_u12151, _u12150, _u12149, _u12152), _u12153)) = hAPP(c_Product__Type_Ofst(_u12149, _u12151), _u12153)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12155), hAPP(c_Product__Type_Ofst(_u12154, _u12155), _u12156)), hAPP(c_Product__Type_Osnd(_u12154, _u12155), _u12156)) = _u12156) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_surjective__pairing-1, axiom, ( ( _u12157 = hAPP(hAPP(c_Product__Type_OPair(_u12158, _u12159), hAPP(c_Product__Type_Ofst(_u12158, _u12159), _u12157)), hAPP(c_Product__Type_Osnd(_u12158, _u12159), _u12157))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12160, _u12161, _u12162), _u12163), _u12164) = hAPP(hAPP(_u12163, hAPP(c_Product__Type_Ofst(_u12160, _u12161), _u12164)), hAPP(c_Product__Type_Osnd(_u12160, _u12161), _u12164))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12165), _u12166) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u12165, _u12166))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12167, _u12168, _u12169), _u12170), _u12171) = hAPP(hAPP(_u12170, hAPP(c_Product__Type_Ofst(_u12167, _u12168), _u12171)), hAPP(c_Product__Type_Osnd(_u12167, _u12168), _u12171))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u12172, _u12173), _u12173, _u12174), hAPP(hAPP(c_COMBB(_u12175, tc_fun(_u12173, _u12174), tc_prod(_u12172, _u12173)), _u12176), hAPP(hAPP(c_COMBB(_u12172, _u12175, tc_prod(_u12172, _u12173)), _u12177), c_Product__Type_Ofst(_u12172, _u12173)))), c_Product__Type_Osnd(_u12172, _u12173)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12172, _u12173, _u12174), hAPP(hAPP(c_COMBB(_u12175, tc_fun(_u12173, _u12174), _u12172), _u12176), _u12177))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12178, _u12179, _u12180), _u12181), _u12182) = hAPP(hAPP(_u12181, hAPP(c_Product__Type_Ofst(_u12178, _u12179), _u12182)), hAPP(c_Product__Type_Osnd(_u12178, _u12179), _u12182))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12183, _u12184, _u12185), hAPP(c_Fun_Ocomp(_u12186, tc_fun(_u12184, _u12185), _u12183, _u12187), _u12188)), _u12189) = hAPP(hAPP(_u12187, hAPP(_u12188, hAPP(c_Product__Type_Ofst(_u12183, _u12184), _u12189))), hAPP(c_Product__Type_Osnd(_u12183, _u12184), _u12189))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_The__split ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u12190, _u12191), hAPP(c_Product__Type_Oprod_Oprod__case(_u12190, _u12191, tc_HOL_Obool), _u12192)) = c_HOL_OThe(tc_prod(_u12190, _u12191), hAPP(hAPP(c_COMBS(tc_prod(_u12190, _u12191), _u12191, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12190, tc_fun(_u12191, tc_HOL_Obool), tc_prod(_u12190, _u12191)), _u12192), c_Product__Type_Ofst(_u12190, _u12191))), c_Product__Type_Osnd(_u12190, _u12191)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12193), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12194)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12193), _u12194) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u12193, _u12194))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u12195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12196)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12195), _u12196) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u12195, _u12196))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12197))) | ( 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), _u12197)) = 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), _u12197)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u12198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12199), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12198), _u12199) = 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), _u12198), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12199))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12200), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12201), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12200), _u12201) = 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), _u12200), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12201))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u12202, _u12203, _u12204, _u12205, _u12206) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u12204, hAPP(c_Product__Type_Ofst(_u12202, _u12203), _u12206))), hAPP(_u12205, hAPP(c_Product__Type_Osnd(_u12202, _u12203), _u12206)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12207, _u12208), _u12209)) | hBOOL(hAPP(hAPP(_u12207, hAPP(c_Product__Type_Osnd(_u12210, _u12211), hAPP(hAPP(c_Product__Type_OPair(_u12210, _u12211), _u12209), _u12208))), hAPP(c_Product__Type_Ofst(_u12210, _u12211), hAPP(hAPP(c_Product__Type_OPair(_u12210, _u12211), _u12209), _u12208)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u12212, _u12213)) | ~hBOOL(hAPP(_u12214, _u12215)) | hBOOL(hAPP(_u12212, hAPP(c_Product__Type_Ofst(_u12216, _u12217), hAPP(hAPP(c_Product__Type_OPair(_u12216, _u12217), _u12213), _u12215)))) )).
% 12.28/12.48 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u12212, _u12213)) | ~hBOOL(hAPP(_u12214, _u12215)) | hBOOL(hAPP(_u12214, hAPP(c_Product__Type_Osnd(_u12216, _u12217), hAPP(hAPP(c_Product__Type_OPair(_u12216, _u12217), _u12213), _u12215)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u12218), _u12219) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u12218, _u12219))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12223 = 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), _u12227)), _u12225)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12227) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | 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), _u12227))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227)), _u12225)) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12225), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( _u12226 = 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)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( _u12226 = 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12226)) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( _u12226 = 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u12226 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != 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)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12226)) )).
% 12.28/12.48 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u12229) = 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, _u12229)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12232), _u12233))) | hBOOL(hAPP(hAPP(_u12234, _u12232), _u12233)) | 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), skolem307(_u12234, _u12233, _u12232)), skolem308(_u12234, _u12233, _u12232)))) )).
% 12.28/12.48 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), _u12232), _u12233))) | hBOOL(hAPP(hAPP(_u12234, _u12232), _u12233)) | ( skolem308(_u12234, _u12233, _u12232) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u12234, skolem308(_u12234, _u12233, _u12232)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem307(_u12234, _u12233, _u12232), skolem308(_u12234, _u12233, _u12232)))) )).
% 12.28/12.48 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), _u12232), _u12233))) | hBOOL(hAPP(hAPP(_u12234, _u12232), _u12233)) | ~hBOOL(hAPP(hAPP(_u12234, skolem307(_u12234, _u12233, _u12232)), skolem308(_u12234, _u12233, _u12232))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12235, _u12236), _u12237), _u12238) = hAPP(c_Set_OCollect(tc_prod(_u12236, _u12236)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12236, _u12236, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12236, tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_fun(_u12236, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12236, tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_fun(_u12236, tc_HOL_Obool)), _u12236), c_COMBC(_u12236, tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12236, tc_prod(_u12235, _u12235)), tc_fun(_u12236, tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool)), _u12236), hAPP(c_COMBB(tc_prod(_u12235, _u12235), tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool), _u12236), c_member(tc_prod(_u12235, _u12235)))), hAPP(hAPP(c_COMBC(_u12236, tc_fun(_u12236, _u12235), tc_fun(_u12236, tc_prod(_u12235, _u12235))), hAPP(hAPP(c_COMBB(tc_fun(_u12235, tc_prod(_u12235, _u12235)), tc_fun(tc_fun(_u12236, _u12235), tc_fun(_u12236, tc_prod(_u12235, _u12235))), _u12236), c_COMBB(_u12235, tc_prod(_u12235, _u12235), _u12236)), hAPP(hAPP(c_COMBB(_u12235, tc_fun(_u12235, tc_prod(_u12235, _u12235)), _u12236), c_Product__Type_OPair(_u12235, _u12235)), _u12238))), _u12238)))), _u12237)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u12241) != hAPP(c_Int_ORep__Integ, _u12243)) | ( _u12241 = _u12243) )).
% 12.28/12.48 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u12242 != _u12244) | ( hAPP(c_Int_ORep__Integ, _u12242) = hAPP(c_Int_ORep__Integ, _u12244)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12257, _u12257)), hAPP(hAPP(c_Product__Type_OPair(_u12257, _u12257), hAPP(_u12261, _u12253)), hAPP(_u12261, _u12255))), _u12259)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12251, _u12251)), hAPP(hAPP(c_Product__Type_OPair(_u12251, _u12251), _u12253), _u12255)), hAPP(hAPP(c_Relation_Oinv__image(_u12257, _u12251), _u12259), _u12261))) )).
% 12.28/12.48 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12258, _u12258)), hAPP(hAPP(c_Product__Type_OPair(_u12258, _u12258), hAPP(_u12262, _u12254)), hAPP(_u12262, _u12256))), _u12260)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12252, _u12252)), hAPP(hAPP(c_Product__Type_OPair(_u12252, _u12252), _u12254), _u12256)), hAPP(hAPP(c_Relation_Oinv__image(_u12258, _u12252), _u12260), _u12262))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u12263, _u12264) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), c_COMBS(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(_u12264, _u12263)), c_Product__Type_OPair(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), c_Relation_Oinv__image(_u12263, _u12264))))), c_Relation_Oinv__image(_u12263, _u12264)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12265, _u12266, _u12267) | ~hBOOL(hAPP(hAPP(c_member(_u12265), _u12268), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12265, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12265, _u12265, _u12267), hAPP(hAPP(c_Set_Oinsert(_u12265), _u12269), c_Orderings_Obot__class_Obot(tc_fun(_u12265, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12265, _u12265, _u12267), hAPP(hAPP(c_Set_Oinsert(_u12265), _u12270), c_Orderings_Obot__class_Obot(tc_fun(_u12265, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12265, _u12265)), hAPP(hAPP(c_Product__Type_OPair(_u12265, _u12265), _u12269), _u12270)), _u12267)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12271, _u12272, _u12273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12271, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12271, _u12271, _u12273), hAPP(hAPP(c_Set_Oinsert(_u12271), _u12274), c_Orderings_Obot__class_Obot(tc_fun(_u12271, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12271, _u12271, _u12273), hAPP(hAPP(c_Set_Oinsert(_u12271), _u12275), c_Orderings_Obot__class_Obot(tc_fun(_u12271, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u12271), _u12274), _u12272)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12271, _u12271)), hAPP(hAPP(c_Product__Type_OPair(_u12271, _u12271), _u12275), _u12274)), _u12273)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12276, _u12277, _u12278) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12276, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12276), _u12277), _u12278)) = _u12277) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12279, _u12280, _u12281) | ~hBOOL(hAPP(hAPP(c_member(_u12279), _u12282), _u12280)) | hBOOL(hAPP(hAPP(c_member(_u12279), _u12282), hAPP(c_Relation_OImage(_u12279, _u12279, _u12281), hAPP(hAPP(c_Set_Oinsert(_u12279), _u12282), c_Orderings_Obot__class_Obot(tc_fun(_u12279, tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12283, _u12284, _u12285) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12283, tc_HOL_Obool)), _u12286), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12283), _u12284), _u12285))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12283, tc_HOL_Obool)), _u12287), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12283), _u12284), _u12285))) | ( _u12286 = _u12287) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12283, tc_HOL_Obool)), _u12286), _u12287) = c_Orderings_Obot__class_Obot(tc_fun(_u12283, tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12288, _u12289, _u12290) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12288, _u12288)), hAPP(hAPP(c_Product__Type_OPair(_u12288, _u12288), _u12291), _u12292)), _u12290)) | ( hAPP(c_Relation_OImage(_u12288, _u12288, _u12290), hAPP(hAPP(c_Set_Oinsert(_u12288), _u12291), c_Orderings_Obot__class_Obot(tc_fun(_u12288, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12288, _u12288, _u12290), hAPP(hAPP(c_Set_Oinsert(_u12288), _u12292), c_Orderings_Obot__class_Obot(tc_fun(_u12288, tc_HOL_Obool))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12293, _u12294, _u12295) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12296), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12297), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12298), _u12296)) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12299), _u12297)) | ( _u12296 != _u12297) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12293, _u12293)), hAPP(hAPP(c_Product__Type_OPair(_u12293, _u12293), _u12298), _u12299)), _u12295)) )).
% 12.28/12.48 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12293, _u12294, _u12295) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12296), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12297), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12298), _u12296)) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12299), _u12297)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12293, _u12293)), hAPP(hAPP(c_Product__Type_OPair(_u12293, _u12293), _u12298), _u12299)), _u12295)) | ( _u12296 = _u12297) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12300, _u12301, _u12302) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12300, tc_HOL_Obool)), _u12303), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12300), _u12301), _u12302))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12300, tc_HOL_Obool)), _u12304), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12300), _u12301), _u12302))) | ~hBOOL(hAPP(hAPP(c_member(_u12300), _u12305), _u12303)) | ~hBOOL(hAPP(hAPP(c_member(_u12300), _u12306), _u12304)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12300, _u12300)), hAPP(hAPP(c_Product__Type_OPair(_u12300, _u12300), _u12305), _u12306)), _u12302)) | ( _u12303 = _u12304) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) | ( hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12310), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12311), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool))))) )).
% 12.28/12.48 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) | hBOOL(hAPP(hAPP(c_member(_u12307), _u12310), _u12308)) )).
% 12.28/12.48 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) | hBOOL(hAPP(hAPP(c_member(_u12307), _u12311), _u12308)) )).
% 12.28/12.48 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ( hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12310), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12311), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12310), _u12308)) | ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12311), _u12308)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u12312, _u12312, _u12313), hAPP(hAPP(c_Set_Oinsert(_u12312), _u12314), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12312, _u12312, _u12313), hAPP(hAPP(c_Set_Oinsert(_u12312), _u12315), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u12312, _u12316, _u12313) | ~hBOOL(hAPP(hAPP(c_member(_u12312), _u12315), _u12316)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12312, _u12312)), hAPP(hAPP(c_Product__Type_OPair(_u12312, _u12312), _u12314), _u12315)), _u12313)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12317, _u12318, _u12319) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12320), _u12318)) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12321), _u12318)) | ( hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12320), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12321), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12317, _u12317)), hAPP(hAPP(c_Product__Type_OPair(_u12317, _u12317), _u12320), _u12321)), _u12319)) )).
% 12.28/12.48 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12317, _u12318, _u12319) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12320), _u12318)) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12321), _u12318)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12317, _u12317)), hAPP(hAPP(c_Product__Type_OPair(_u12317, _u12317), _u12320), _u12321)), _u12319)) | ( hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12320), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12321), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12322, _u12323, _u12324) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12322, _u12322)), hAPP(hAPP(c_Product__Type_OPair(_u12322, _u12322), _u12325), _u12326)), _u12324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12322, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12322, _u12322, _u12324), hAPP(hAPP(c_Set_Oinsert(_u12322), _u12325), c_Orderings_Obot__class_Obot(tc_fun(_u12322, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12322, _u12322, _u12324), hAPP(hAPP(c_Set_Oinsert(_u12322), _u12326), c_Orderings_Obot__class_Obot(tc_fun(_u12322, tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12327, _u12328, _u12329) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12330), _u12328)) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12331), _u12328)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12330), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12331), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12327, _u12327)), hAPP(hAPP(c_Product__Type_OPair(_u12327, _u12327), _u12330), _u12331)), _u12329)) )).
% 12.28/12.48 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12327, _u12328, _u12329) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12330), _u12328)) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12331), _u12328)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12327, _u12327)), hAPP(hAPP(c_Product__Type_OPair(_u12327, _u12327), _u12330), _u12331)), _u12329)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12330), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12331), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12332, _u12333, _u12334) | ~c_Equiv__Relations_Ocongruent(_u12332, tc_fun(_u12335, tc_HOL_Obool), _u12334, _u12336) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12337), _u12333)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12332, tc_fun(_u12335, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12332, _u12332, _u12334), hAPP(hAPP(c_Set_Oinsert(_u12332), _u12337), c_Orderings_Obot__class_Obot(tc_fun(_u12332, tc_HOL_Obool))))), _u12336) = hAPP(_u12336, _u12337)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12338, _u12339, _u12340) | ~c_Equiv__Relations_Oequiv(_u12341, _u12342, _u12343) | ~c_Equiv__Relations_Ocongruent2(_u12338, _u12341, tc_fun(_u12344, tc_HOL_Obool), _u12340, _u12343, _u12345) | ~hBOOL(hAPP(hAPP(c_member(_u12338), _u12346), _u12339)) | ~hBOOL(hAPP(hAPP(c_member(_u12341), _u12347), _u12342)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12338, tc_fun(_u12344, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12338, _u12338, _u12340), hAPP(hAPP(c_Set_Oinsert(_u12338), _u12346), c_Orderings_Obot__class_Obot(tc_fun(_u12338, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u12341, tc_fun(_u12344, tc_HOL_Obool)), tc_fun(_u12344, tc_HOL_Obool), _u12338), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12341, tc_fun(_u12344, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12341, _u12341, _u12343), hAPP(hAPP(c_Set_Oinsert(_u12341), _u12347), c_Orderings_Obot__class_Obot(tc_fun(_u12341, tc_HOL_Obool)))))), _u12345)) = hAPP(hAPP(_u12345, _u12346), _u12347)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool)), _u12353), _u12355)), c_Wellfounded_Ofinite__psubset(_u12351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12351, tc_HOL_Obool)), _u12353), _u12355)) )).
% 12.28/12.48 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool)), _u12353), _u12355)), c_Wellfounded_Ofinite__psubset(_u12351))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12351), _u12355)) )).
% 12.28/12.48 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12352, tc_HOL_Obool)), _u12354), _u12356)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12352), _u12356)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12352, tc_HOL_Obool), tc_fun(_u12352, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12352, tc_HOL_Obool), tc_fun(_u12352, tc_HOL_Obool)), _u12354), _u12356)), c_Wellfounded_Ofinite__psubset(_u12352))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12357, _u12358, _u12359) | ~c_Equiv__Relations_Ocongruent2(_u12357, _u12360, _u12361, _u12359, _u12362, _u12363) | ~hBOOL(hAPP(hAPP(c_member(_u12357), _u12364), _u12358)) | c_Equiv__Relations_Ocongruent(_u12360, _u12361, _u12362, hAPP(_u12363, _u12364)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u12365, _u12366, _u12367, _u12368, _u12369, _u12370) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12365, _u12365)), hAPP(hAPP(c_Product__Type_OPair(_u12365, _u12365), _u12371), _u12372)), _u12368)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12366)), hAPP(hAPP(c_Product__Type_OPair(_u12366, _u12366), _u12373), _u12374)), _u12369)) | ( hAPP(hAPP(_u12370, _u12371), _u12373) = hAPP(hAPP(_u12370, _u12372), _u12374)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u12375, _u12376, _u12377, _u12378) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12375, _u12375)), hAPP(hAPP(c_Product__Type_OPair(_u12375, _u12375), _u12379), _u12380)), _u12377)) | ( hAPP(_u12378, _u12379) = hAPP(_u12378, _u12380)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12381, _u12382, _u12383) | ~c_Equiv__Relations_Oequiv(_u12384, _u12385, _u12386) | ~c_Equiv__Relations_Ocongruent2(_u12381, _u12384, tc_fun(_u12387, tc_HOL_Obool), _u12383, _u12386, _u12388) | ~hBOOL(hAPP(hAPP(c_member(_u12384), _u12389), _u12385)) | c_Equiv__Relations_Ocongruent(_u12381, tc_fun(_u12387, tc_HOL_Obool), _u12383, hAPP(hAPP(c_COMBB(tc_fun(_u12384, tc_fun(_u12387, tc_HOL_Obool)), tc_fun(_u12387, tc_HOL_Obool), _u12381), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12384, tc_fun(_u12387, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12384, _u12384, _u12386), hAPP(hAPP(c_Set_Oinsert(_u12384), _u12389), c_Orderings_Obot__class_Obot(tc_fun(_u12384, tc_HOL_Obool)))))), _u12388)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u12390) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12390, tc_HOL_Obool), tc_fun(_u12390, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12390, tc_HOL_Obool), tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12390, tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12390, tc_HOL_Obool)), c_COMBS(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12390, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12390, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12390, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12390))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | hBOOL(hAPP(hAPP(c_member(_u12393), skolem309(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)), _u12394)) )).
% 12.28/12.48 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | hBOOL(hAPP(hAPP(c_member(_u12393), skolem310(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)), _u12394)) )).
% 12.28/12.48 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | ( hAPP(_u12397, skolem309(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)) = hAPP(_u12397, skolem310(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393))) )).
% 12.28/12.48 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12393, _u12393)), hAPP(hAPP(c_Product__Type_OPair(_u12393, _u12393), skolem309(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)), skolem310(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393))), _u12395)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12402, _u12403, _u12404) | ~c_Equiv__Relations_Oequiv(_u12405, _u12406, _u12407) | ~c_Equiv__Relations_Ocongruent2(_u12402, _u12405, tc_fun(_u12408, tc_HOL_Obool), _u12404, _u12407, _u12409) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12402, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12402), _u12403), _u12404))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12405, tc_HOL_Obool)), _u12411), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12405), _u12406), _u12407))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12402, tc_fun(_u12408, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_COMBB(tc_fun(_u12405, tc_fun(_u12408, tc_HOL_Obool)), tc_fun(_u12408, tc_HOL_Obool), _u12402), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12405, tc_fun(_u12408, tc_HOL_Obool)), _u12411)), _u12409))), _u12412)) | hBOOL(hAPP(hAPP(c_member(_u12402), skolem311(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402)), _u12403)) )).
% 12.28/12.48 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12402, _u12403, _u12404) | ~c_Equiv__Relations_Oequiv(_u12405, _u12406, _u12407) | ~c_Equiv__Relations_Ocongruent2(_u12402, _u12405, tc_fun(_u12408, tc_HOL_Obool), _u12404, _u12407, _u12409) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12402, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12402), _u12403), _u12404))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12405, tc_HOL_Obool)), _u12411), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12405), _u12406), _u12407))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12402, tc_fun(_u12408, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_COMBB(tc_fun(_u12405, tc_fun(_u12408, tc_HOL_Obool)), tc_fun(_u12408, tc_HOL_Obool), _u12402), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12405, tc_fun(_u12408, tc_HOL_Obool)), _u12411)), _u12409))), _u12412)) | hBOOL(hAPP(hAPP(c_member(_u12405), skolem312(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402)), _u12406)) )).
% 12.28/12.48 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u12402, _u12403, _u12404) | ~c_Equiv__Relations_Oequiv(_u12405, _u12406, _u12407) | ~c_Equiv__Relations_Ocongruent2(_u12402, _u12405, tc_fun(_u12408, tc_HOL_Obool), _u12404, _u12407, _u12409) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12402, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12402), _u12403), _u12404))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12405, tc_HOL_Obool)), _u12411), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12405), _u12406), _u12407))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12402, tc_fun(_u12408, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_COMBB(tc_fun(_u12405, tc_fun(_u12408, tc_HOL_Obool)), tc_fun(_u12408, tc_HOL_Obool), _u12402), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12405, tc_fun(_u12408, tc_HOL_Obool)), _u12411)), _u12409))), _u12412)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(_u12409, skolem311(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402)), skolem312(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402))), _u12412)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12414, _u12415, _u12416) | ~c_Equiv__Relations_Ocongruent(_u12414, tc_fun(_u12417, tc_HOL_Obool), _u12416, _u12418) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12414, tc_HOL_Obool)), _u12419), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12414), _u12415), _u12416))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12417, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12414, tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)), _u12420)) | hBOOL(hAPP(hAPP(c_member(_u12414), skolem313(_u12420, _u12419, _u12418, _u12417, _u12416, _u12415, _u12414)), _u12415)) )).
% 12.28/12.48 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u12414, _u12415, _u12416) | ~c_Equiv__Relations_Ocongruent(_u12414, tc_fun(_u12417, tc_HOL_Obool), _u12416, _u12418) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12414, tc_HOL_Obool)), _u12419), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12414), _u12415), _u12416))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12417, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12414, tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)), _u12420)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12417, tc_HOL_Obool)), hAPP(_u12418, skolem313(_u12420, _u12419, _u12418, _u12417, _u12416, _u12415, _u12414))), _u12420)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12421, _u12422)), hAPP(_u12421, _u12423))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12424, _u12424)), hAPP(hAPP(c_Product__Type_OPair(_u12424, _u12424), _u12422), _u12423)), _u12425)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12424, _u12424)), hAPP(hAPP(c_Product__Type_OPair(_u12424, _u12424), _u12422), _u12423)), c_Wellfounded_Omlex__prod(_u12424, _u12421, _u12425))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u12426)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u12426)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12427, _u12428)), hAPP(_u12427, _u12429))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12430, _u12430)), hAPP(hAPP(c_Product__Type_OPair(_u12430, _u12430), _u12428), _u12429)), c_Wellfounded_Omlex__prod(_u12430, _u12427, _u12431))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u12434) != c_Code__Numeral_OSuc__code__numeral(_u12436)) | ( _u12434 = _u12436) )).
% 12.28/12.48 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u12435 != _u12437) | ( c_Code__Numeral_OSuc__code__numeral(_u12435) = c_Code__Numeral_OSuc__code__numeral(_u12437)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u12438)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u12439) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 12.28/12.48 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(_u12440)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u12440) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 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(_u12441)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u12441)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12442)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12442)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u12443, _u12444, _u12445, _u12446, hAPP(hAPP(c_Product__Type_OPair(_u12443, _u12444), _u12447), _u12448)) = hAPP(hAPP(_u12446, _u12447), _u12448)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12449) = _u12449) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_nat_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_lfp__induct2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_lfp__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12452, _u12453)), hAPP(hAPP(c_Product__Type_OPair(_u12452, _u12453), _u12454), _u12455)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456) | hBOOL(hAPP(hAPP(_u12457, _u12454), _u12455)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12452, _u12453)), hAPP(hAPP(c_Product__Type_OPair(_u12452, _u12453), skolem314(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452)), skolem315(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452))), hAPP(_u12456, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456)), hAPP(c_Set_OCollect(tc_prod(_u12452, _u12453)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12452, _u12453, tc_HOL_Obool), _u12457)))))) )).
% 12.28/12.48 cnf(fact_lfp__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12452, _u12453)), hAPP(hAPP(c_Product__Type_OPair(_u12452, _u12453), _u12454), _u12455)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456) | hBOOL(hAPP(hAPP(_u12457, _u12454), _u12455)) | ~hBOOL(hAPP(hAPP(_u12457, skolem314(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452)), skolem315(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12470), _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12474), _u12476))), c_Wellfounded_Olex__prod(_u12466, _u12468, _u12478, _u12480))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12466, _u12466)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12466), _u12470), _u12474)), _u12478)) | ( _u12470 = _u12474) )).
% 12.28/12.48 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12470), _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12474), _u12476))), c_Wellfounded_Olex__prod(_u12466, _u12468, _u12478, _u12480))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12466, _u12466)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12466), _u12470), _u12474)), _u12478)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12468, _u12468)), hAPP(hAPP(c_Product__Type_OPair(_u12468, _u12468), _u12472), _u12476)), _u12480)) )).
% 12.28/12.48 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12471), _u12473)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12475), _u12477))), c_Wellfounded_Olex__prod(_u12467, _u12469, _u12479, _u12481))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12467, _u12467)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12467), _u12471), _u12475)), _u12479)) )).
% 12.28/12.48 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12471), _u12473)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12475), _u12477))), c_Wellfounded_Olex__prod(_u12467, _u12469, _u12479, _u12481))) | ( _u12471 != _u12475) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12469, _u12469)), hAPP(hAPP(c_Product__Type_OPair(_u12469, _u12469), _u12473), _u12477)), _u12481)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12484, c_Orderings_Otop__class_Otop(tc_fun(_u12484, tc_HOL_Obool)), _u12486) | c_Equiv__Relations_Oequivp(_u12484, hAPP(hAPP(c_COMBC(_u12484, tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_fun(_u12484, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12484, tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_fun(_u12484, tc_HOL_Obool)), _u12484), c_COMBC(_u12484, tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12484, tc_prod(_u12484, _u12484)), tc_fun(_u12484, tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool)), _u12484), hAPP(c_COMBB(tc_prod(_u12484, _u12484), tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool), _u12484), c_member(tc_prod(_u12484, _u12484)))), c_Product__Type_OPair(_u12484, _u12484)))), _u12486)) )).
% 12.28/12.48 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12485, hAPP(hAPP(c_COMBC(_u12485, tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_fun(_u12485, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12485, tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_fun(_u12485, tc_HOL_Obool)), _u12485), c_COMBC(_u12485, tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12485, tc_prod(_u12485, _u12485)), tc_fun(_u12485, tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool)), _u12485), hAPP(c_COMBB(tc_prod(_u12485, _u12485), tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool), _u12485), c_member(tc_prod(_u12485, _u12485)))), c_Product__Type_OPair(_u12485, _u12485)))), _u12487)) | c_Equiv__Relations_Oequiv(_u12485, c_Orderings_Otop__class_Otop(tc_fun(_u12485, tc_HOL_Obool)), _u12487) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u12488, c_fequal) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u12503, _u12505) | ~hBOOL(hAPP(hAPP(_u12505, _u12497), _u12495)) | ( hAPP(_u12505, _u12497) = hAPP(_u12505, _u12495)) )).
% 12.28/12.48 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u12503, _u12505) | ( hAPP(_u12505, _u12498) != hAPP(_u12505, _u12496)) | hBOOL(hAPP(hAPP(_u12505, _u12498), _u12496)) )).
% 12.28/12.48 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | hBOOL(hAPP(hAPP(_u12506, skolem316(_u12506)), skolem317(_u12506))) | ( hAPP(_u12506, skolem318(_u12506)) = hAPP(_u12506, skolem319(_u12506))) )).
% 12.28/12.48 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | hBOOL(hAPP(hAPP(_u12506, skolem316(_u12506)), skolem317(_u12506))) | ~hBOOL(hAPP(hAPP(_u12506, skolem318(_u12506)), skolem319(_u12506))) )).
% 12.28/12.48 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | ( hAPP(_u12506, skolem316(_u12506)) != hAPP(_u12506, skolem317(_u12506))) | ( hAPP(_u12506, skolem318(_u12506)) = hAPP(_u12506, skolem319(_u12506))) )).
% 12.28/12.48 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | ( hAPP(_u12506, skolem316(_u12506)) != hAPP(_u12506, skolem317(_u12506))) | ~hBOOL(hAPP(hAPP(_u12506, skolem318(_u12506)), skolem319(_u12506))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u12508, _u12509), _u12509)) | ~c_Equiv__Relations_Oequivp(_u12507, _u12508) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12511, _u12512), _u12513)) | hBOOL(hAPP(hAPP(_u12511, _u12513), _u12512)) | ~c_Equiv__Relations_Oequivp(_u12510, _u12511) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12515, _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(_u12515, _u12517), _u12518)) | hBOOL(hAPP(hAPP(_u12515, _u12516), _u12518)) | ~c_Equiv__Relations_Oequivp(_u12514, _u12515) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u12519, _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12521, _u12521)), hAPP(hAPP(c_Product__Type_OPair(_u12521, _u12521), _u12522), _u12523)), hAPP(_u12524, _u12520))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12525, _u12521), tc_prod(_u12525, _u12521))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12525, _u12521), tc_prod(_u12525, _u12521)), hAPP(hAPP(c_Product__Type_OPair(_u12525, _u12521), _u12520), _u12522)), hAPP(hAPP(c_Product__Type_OPair(_u12525, _u12521), _u12520), _u12523))), c_Recdef_Osame__fst(_u12525, _u12521, _u12519, _u12524))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12526, _u12527, _u12528, _u12529), hAPP(c_Product__Type_Oapsnd(_u12530, _u12528, _u12526, _u12531), _u12532)) = hAPP(hAPP(c_Product__Type_OPair(_u12527, _u12528), hAPP(_u12529, hAPP(c_Product__Type_Ofst(_u12526, _u12530), _u12532))), hAPP(_u12531, hAPP(c_Product__Type_Osnd(_u12526, _u12530), _u12532)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12533, _u12534, _u12535, _u12536), hAPP(c_Product__Type_Oapfst(_u12537, _u12535, _u12533, _u12538), _u12539)) = hAPP(hAPP(c_Product__Type_OPair(_u12535, _u12534), hAPP(_u12538, hAPP(c_Product__Type_Ofst(_u12537, _u12533), _u12539))), hAPP(_u12536, hAPP(c_Product__Type_Osnd(_u12537, _u12533), _u12539)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12540, _u12541, _u12542, _u12543), hAPP(hAPP(c_Product__Type_OPair(_u12540, _u12542), _u12544), _u12545)) = hAPP(hAPP(c_Product__Type_OPair(_u12541, _u12542), hAPP(_u12543, _u12544)), _u12545)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12546, _u12547), hAPP(c_Product__Type_Oapfst(_u12548, _u12546, _u12547, _u12549), _u12550)) = hAPP(_u12549, hAPP(c_Product__Type_Ofst(_u12548, _u12547), _u12550))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12557, _u12559, _u12561, _u12563), _u12565) != hAPP(c_Product__Type_Oapfst(_u12557, _u12559, _u12561, _u12567), _u12565)) | ( hAPP(_u12563, hAPP(c_Product__Type_Ofst(_u12557, _u12561), _u12565)) = hAPP(_u12567, hAPP(c_Product__Type_Ofst(_u12557, _u12561), _u12565))) )).
% 12.28/12.48 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u12564, hAPP(c_Product__Type_Ofst(_u12558, _u12562), _u12566)) != hAPP(_u12568, hAPP(c_Product__Type_Ofst(_u12558, _u12562), _u12566))) | ( hAPP(c_Product__Type_Oapfst(_u12558, _u12560, _u12562, _u12564), _u12566) = hAPP(c_Product__Type_Oapfst(_u12558, _u12560, _u12562, _u12568), _u12566)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12569, _u12570), hAPP(c_Product__Type_Oapfst(_u12571, _u12569, _u12570, _u12572), _u12573)) = hAPP(c_Product__Type_Osnd(_u12571, _u12570), _u12573)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u12574, _u12575, _u12576, _u12577), hAPP(c_Product__Type_Oapfst(_u12578, _u12574, _u12576, _u12579), _u12580)) = hAPP(c_Product__Type_Oapfst(_u12578, _u12575, _u12576, hAPP(c_Fun_Ocomp(_u12574, _u12575, _u12578, _u12577), _u12579)), _u12580)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u12581, _u12582, _u12583, _u12584), hAPP(c_Product__Type_Oapfst(_u12585, _u12583, _u12581, _u12586), _u12587)) = hAPP(c_Product__Type_Oapfst(_u12585, _u12583, _u12582, _u12586), hAPP(c_Product__Type_Oapsnd(_u12581, _u12582, _u12585, _u12584), _u12587))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12588), _u12589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12590), _u12591)) | 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), _u12588), _u12590)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12589), _u12591))), c_FunDef_Opair__less)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12593), _u12594), hAPP(c_Relation_OImage(_u12595, _u12593, _u12596), _u12597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12595, _u12593)), hAPP(hAPP(c_Product__Type_OPair(_u12595, _u12593), skolem320(_u12597, _u12596, _u12595, _u12594, _u12593)), _u12594)), _u12596)) )).
% 12.28/12.48 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12593), _u12594), hAPP(c_Relation_OImage(_u12595, _u12593, _u12596), _u12597))) | hBOOL(hAPP(hAPP(c_member(_u12595), skolem320(_u12597, _u12596, _u12595, _u12594, _u12593)), _u12597)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u12598, _u12599, _u12600) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u12598), _u12598), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u12598, c_Wellfounded_Oless__than, _u12600)), hAPP(hAPP(c_COMBS(_u12598, _u12598, tc_prod(tc_Nat_Onat, _u12598)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12598, tc_prod(tc_Nat_Onat, _u12598)), _u12598), c_Product__Type_OPair(tc_Nat_Onat, _u12598)), _u12599)), c_COMBI(_u12598)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__less__def-1, axiom, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u12601) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u12601), c_Wellfounded_Oless__than)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12604), _u12606)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12604), _u12606)) )).
% 12.28/12.48 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12605), _u12607)) | 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), _u12605), _u12607)), c_Wellfounded_Oless__than)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12608), _u12609)) | 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), _u12608), _u12610)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12609), _u12611))), c_FunDef_Opair__less)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12612), _u12613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12614), _u12615)) | 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), _u12612), _u12614)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12613), _u12615))), c_FunDef_Opair__leq)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12616), _u12617)) | ~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)), _u12616), _u12618)), 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)), _u12617), _u12619)), 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)), _u12617), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12618), _u12619))), c_FunDef_Omin__strict)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12620), _u12621)) | ~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)), _u12622), _u12620)), 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)), _u12623), _u12621)), 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)), _u12622), _u12623)), _u12621)), c_FunDef_Omax__strict)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12624)) | ( _u12624 = 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))), _u12624)), c_FunDef_Omax__strict)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_smin__emptyI-1, axiom, ( ( _u12625 = 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)), _u12625), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12626), _u12627)) | 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), _u12626), _u12628)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12627), _u12629))), c_FunDef_Opair__leq)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12630), _u12631)) | ~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)), _u12632), _u12630)), 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)), _u12633), _u12631)), 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)), _u12632), _u12633)), _u12631)), c_FunDef_Omax__weak)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12634), _u12635)) | ~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)), _u12634), _u12636)), 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)), _u12635), _u12637)), 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)), _u12635), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12636), _u12637))), c_FunDef_Omin__weak)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u12638), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12638, _u12638)), hAPP(hAPP(c_Product__Type_OPair(_u12638, _u12638), _u12639), _u12640)), _u12641)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12638, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12638), _u12639), hAPP(hAPP(c_Set_Oinsert(_u12638), _u12640), c_Orderings_Obot__class_Obot(tc_fun(_u12638, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u12638), _u12641))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u12642), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12642, _u12642), tc_HOL_Obool), _u12643)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12642, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u12642, _u12642), tc_HOL_Obool), tc_fun(_u12642, tc_HOL_Obool), c_Relation_OField(_u12642)), _u12643))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u12644), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12644, _u12644), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12645, _u12645), tc_HOL_Obool)), _u12646), _u12647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12645, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12645), _u12646)), hAPP(c_Relation_OField(_u12645), _u12647))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u12648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12648, _u12648), tc_HOL_Obool)), _u12649), _u12650)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12648, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12648), _u12649)), hAPP(c_Relation_OField(_u12648), _u12650))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12651, _u12651)), _u12652)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12651), hAPP(c_Relation_OField(_u12651), _u12652))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u12653), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12654)) | 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))), _u12654)), c_FunDef_Omax__weak)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_min__weak__def-1, axiom, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__weak__def-1, axiom, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u12655, _u12656) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12655, tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool)), _u12656), hAPP(hAPP(c_COMBC(_u12655, tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool), tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u12655, _u12655), tc_fun(tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool), tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool)), _u12655), c_Set_Oinsert(tc_prod(_u12655, _u12655))), hAPP(hAPP(c_COMBS(_u12655, _u12655, tc_prod(_u12655, _u12655)), c_Product__Type_OPair(_u12655, _u12655)), c_COMBI(_u12655)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u12657, _u12658) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12657, _u12657, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12657, tc_HOL_Obool, tc_fun(_u12657, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12657, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u12657, tc_HOL_Obool)), _u12657), c_COMBC(_u12657, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12657, tc_HOL_Obool), tc_fun(_u12657, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12657), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12657), c_fconj)), c_fequal))), _u12658))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u12659, c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12659, _u12659), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u12660, _u12660, c_Relation_OId__on(_u12660, _u12661)), _u12662) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12660, tc_HOL_Obool)), _u12661), _u12662)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12667, _u12667)), hAPP(hAPP(c_Product__Type_OPair(_u12667, _u12667), _u12669), _u12671)), c_Relation_OId__on(_u12667, _u12673))) | ( _u12669 = _u12671) )).
% 12.28/12.48 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12667, _u12667)), hAPP(hAPP(c_Product__Type_OPair(_u12667, _u12667), _u12669), _u12671)), c_Relation_OId__on(_u12667, _u12673))) | hBOOL(hAPP(hAPP(c_member(_u12667), _u12669), _u12673)) )).
% 12.28/12.48 cnf(fact_Id__on__iff-3, axiom, ( ( _u12670 != _u12672) | ~hBOOL(hAPP(hAPP(c_member(_u12668), _u12670), _u12674)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12668, _u12668)), hAPP(hAPP(c_Product__Type_OPair(_u12668, _u12668), _u12670), _u12672)), c_Relation_OId__on(_u12668, _u12674))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Id__on__eqI-1, axiom, ( ( _u12675 != _u12676) | ~hBOOL(hAPP(hAPP(c_member(_u12677), _u12675), _u12678)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12677, _u12677)), hAPP(hAPP(c_Product__Type_OPair(_u12677, _u12677), _u12675), _u12676)), c_Relation_OId__on(_u12677, _u12678))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__strict__def-1, axiom, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12680), _u12681)), c_Wellfounded_Omax__ext(_u12679, _u12682))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12683), _u12684)), c_Wellfounded_Omax__ext(_u12679, _u12682))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12679, tc_HOL_Obool)), _u12680), _u12683)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12679, tc_HOL_Obool)), _u12681), _u12684))), c_Wellfounded_Omax__ext(_u12679, _u12682))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_min__strict__def-1, axiom, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12689, hAPP(hAPP(c_COMBC(_u12689, tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12689, tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool)), _u12689), c_COMBC(_u12689, tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12689, tc_prod(_u12689, _u12689)), tc_fun(_u12689, tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool)), _u12689), hAPP(c_COMBB(tc_prod(_u12689, _u12689), tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool), _u12689), c_member(tc_prod(_u12689, _u12689)))), c_Product__Type_OPair(_u12689, _u12689)))), _u12691), _u12693, _u12695) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12689, tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12689, tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool)), _u12693), _u12695)), c_Wellfounded_Omax__ext(_u12689, _u12691))) )).
% 12.28/12.48 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), _u12694), _u12696)), c_Wellfounded_Omax__ext(_u12690, _u12692))) | c_Wellfounded_Omax__extp(_u12690, hAPP(hAPP(c_COMBC(_u12690, tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12690, tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), _u12690), c_COMBC(_u12690, tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12690, tc_prod(_u12690, _u12690)), tc_fun(_u12690, tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool)), _u12690), hAPP(c_COMBB(tc_prod(_u12690, _u12690), tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool), _u12690), c_member(tc_prod(_u12690, _u12690)))), c_Product__Type_OPair(_u12690, _u12690)))), _u12692), _u12694, _u12696) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_min__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__rpair__set-1, axiom, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12697, _u12698) | c_FunDef_Oreduction__pair(_u12699, hAPP(hAPP(c_FunDef_Orp__inv__image(_u12697, _u12699), _u12698), _u12700)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 12.28/12.48 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)), _u12703), 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)), _u12705), 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)), _u12703), _u12705)), c_Int_Ointrel)) )).
% 12.28/12.48 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)), _u12704), _u12706)), 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)), _u12704), 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)), _u12706), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12711), _u12713)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12715), _u12717))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12711), _u12717) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12715), _u12713)) )).
% 12.28/12.48 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12712), _u12718) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12716), _u12714)) | 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), _u12712), _u12714)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12716), _u12718))), c_Int_Ointrel)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12720, _u12720)), _u12721), c_Relation_OId__on(_u12720, _u12722))) | hBOOL(hAPP(hAPP(c_member(_u12720), skolem321(_u12722, _u12721, _u12720)), _u12722)) )).
% 12.28/12.48 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12720, _u12720)), _u12721), c_Relation_OId__on(_u12720, _u12722))) | ( _u12721 = hAPP(hAPP(c_Product__Type_OPair(_u12720, _u12720), skolem321(_u12722, _u12721, _u12720)), skolem321(_u12722, _u12721, _u12720))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_equiv__intrel-1, axiom, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_of__int ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u12723) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12723), 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), _u12724), _u12725)), 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(_u12723), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12723), _u12724)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12723), _u12725))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_One__int__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_mult ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12726), _u12727)), 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), _u12728), _u12729)), 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), _u12726), _u12728)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12727), _u12729))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12726), _u12729)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12727), _u12728)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u12730)) = _u12730) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12731), _u12732)), 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), _u12732), _u12731)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Zero__int__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_int__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12733) = 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), _u12733), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_add ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12734), _u12735)), 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), _u12736), _u12737)), 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), _u12734), _u12736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12735), _u12737))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_nat ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12738), _u12739)), 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), _u12738), _u12739)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12740) = 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, _u12740)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_less ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12745), _u12747)), 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), _u12749), _u12751)), 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), _u12745), _u12751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12749), _u12747))) )).
% 12.28/12.48 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), _u12746), _u12752)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12750), _u12748))) | 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), _u12746), _u12748)), 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), _u12750), _u12752)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_le ( axiom ) converted to clauses:
% 12.28/12.48 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), _u12757), _u12759)), 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), _u12761), _u12763)), 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), _u12757), _u12763)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12761), _u12759))) )).
% 12.28/12.48 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), _u12758), _u12764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12762), _u12760))) | 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), _u12758), _u12760)), 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), _u12762), _u12764)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u12767 = 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), skolem322(_u12767)), skolem323(_u12767))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Integ__def-1, axiom, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12768, _u12769, _u12770, c_Code__Numeral_OSuc__code__numeral(_u12771)) = hAPP(_u12770, _u12771)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 12.28/12.48 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, _u12772)), c_Int_OInteg)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12773, _u12774, _u12775, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12774) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition__Integ-1, axiom, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12779, hAPP(hAPP(c_COMBC(_u12779, tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_fun(_u12779, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12779, tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_fun(_u12779, tc_HOL_Obool)), _u12779), c_COMBC(_u12779, tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12779, tc_prod(_u12779, _u12779)), tc_fun(_u12779, tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool)), _u12779), hAPP(c_COMBB(tc_prod(_u12779, _u12779), tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool), _u12779), c_member(tc_prod(_u12779, _u12779)))), c_Product__Type_OPair(_u12779, _u12779)))), _u12781)), _u12783)) | hBOOL(hAPP(hAPP(c_member(_u12779), _u12783), c_Wellfounded_Oacc(_u12779, _u12781))) )).
% 12.28/12.48 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12780), _u12784), c_Wellfounded_Oacc(_u12780, _u12782))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12780, hAPP(hAPP(c_COMBC(_u12780, tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_fun(_u12780, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12780, tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_fun(_u12780, tc_HOL_Obool)), _u12780), c_COMBC(_u12780, tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12780, tc_prod(_u12780, _u12780)), tc_fun(_u12780, tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool)), _u12780), hAPP(c_COMBB(tc_prod(_u12780, _u12780), tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool), _u12780), c_member(tc_prod(_u12780, _u12780)))), c_Product__Type_OPair(_u12780, _u12780)))), _u12782)), _u12784)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12785, _u12786, _u12787), _u12788), _u12789) = hAPP(c_Set_OCollect(tc_prod(_u12785, _u12787)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12785, _u12787, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool)), tc_fun(_u12787, tc_HOL_Obool), _u12785), hAPP(c_COMBB(tc_fun(_u12786, tc_HOL_Obool), tc_HOL_Obool, _u12787), c_HOL_OEx(_u12786))), hAPP(hAPP(c_COMBC(_u12785, tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool)), tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), tc_fun(tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool)), tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool))), _u12785), c_COMBB(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool), _u12787)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), _u12785), c_COMBS(_u12786, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12785), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12786), c_fconj)), hAPP(hAPP(c_COMBC(_u12785, tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), _u12785), c_COMBC(_u12786, tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_prod(_u12785, _u12786)), tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool)), _u12785), hAPP(c_COMBB(tc_prod(_u12785, _u12786), tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool), _u12786), c_member(tc_prod(_u12785, _u12786)))), c_Product__Type_OPair(_u12785, _u12786)))), _u12788))))), hAPP(hAPP(c_COMBC(_u12787, tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), _u12787), c_COMBC(_u12786, tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_prod(_u12786, _u12787)), tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool)), _u12787), hAPP(c_COMBB(tc_prod(_u12786, _u12787), tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool), _u12786), c_member(tc_prod(_u12786, _u12787)))), hAPP(c_COMBC(_u12786, _u12787, tc_prod(_u12786, _u12787)), c_Product__Type_OPair(_u12786, _u12787))))), _u12789)))))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), hAPP(hAPP(c_Product__Type_OPair(_u12790, _u12791), _u12792), _u12793)), _u12794)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12791, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12791, _u12795), _u12793), _u12796)), _u12797)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12790, _u12795), _u12792), _u12796)), hAPP(hAPP(c_Relation_Orel__comp(_u12790, _u12791, _u12795), _u12794), _u12797))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12798, _u12799, _u12800), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12801, tc_fun(tc_prod(_u12798, _u12799), tc_HOL_Obool)), _u12802), _u12803)), _u12804) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12801, tc_fun(tc_prod(_u12798, _u12800), tc_HOL_Obool)), _u12802), hAPP(hAPP(c_COMBC(_u12801, tc_fun(tc_prod(_u12799, _u12800), tc_HOL_Obool), tc_fun(tc_prod(_u12798, _u12800), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12798, _u12799), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12799, _u12800), tc_HOL_Obool), tc_fun(tc_prod(_u12798, _u12800), tc_HOL_Obool)), _u12801), c_Relation_Orel__comp(_u12798, _u12799, _u12800)), _u12803)), _u12804))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12805, _u12806, _u12807), _u12808), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12809, tc_fun(tc_prod(_u12806, _u12807), tc_HOL_Obool)), _u12810), _u12811)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12809, tc_fun(tc_prod(_u12805, _u12807), tc_HOL_Obool)), _u12810), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12806, _u12807), tc_HOL_Obool), tc_fun(tc_prod(_u12805, _u12807), tc_HOL_Obool), _u12809), hAPP(c_Relation_Orel__comp(_u12805, _u12806, _u12807), _u12808)), _u12811))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12813, _u12814), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12813), tc_HOL_Obool))), _u12815) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12814), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12817, _u12818), _u12819), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12817, _u12818), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12818), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12820, _u12821, _u12822), _u12823), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12821, _u12822), tc_HOL_Obool)), _u12824), _u12825)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12820, _u12822), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12820, _u12821, _u12822), _u12823), _u12824)), hAPP(hAPP(c_Relation_Orel__comp(_u12820, _u12821, _u12822), _u12823), _u12825))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12826, _u12827, _u12828), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12826, _u12827), tc_HOL_Obool)), _u12829), _u12830)), _u12831) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12826, _u12828), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12826, _u12827, _u12828), _u12829), _u12831)), hAPP(hAPP(c_Relation_Orel__comp(_u12826, _u12827, _u12828), _u12830), _u12831))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12832, _u12833, _u12834), hAPP(hAPP(c_Relation_Orel__comp(_u12832, _u12835, _u12833), _u12836), _u12837)), _u12838) = hAPP(hAPP(c_Relation_Orel__comp(_u12832, _u12835, _u12834), _u12836), hAPP(hAPP(c_Relation_Orel__comp(_u12835, _u12833, _u12834), _u12837), _u12838))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12839, _u12840), tc_HOL_Obool)), _u12841), _u12842)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12840, _u12843), tc_HOL_Obool)), _u12844), _u12845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12839, _u12843), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12839, _u12840, _u12843), _u12841), _u12844)), hAPP(hAPP(c_Relation_Orel__comp(_u12839, _u12840, _u12843), _u12842), _u12845))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12846, _u12846, _u12846), _u12847), _u12848) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12846, _u12846, _u12846), _u12847), _u12849) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12846, _u12846, _u12846), _u12847), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool)), _u12848), _u12849)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12850, _u12850, _u12850), _u12851), _u12852) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12850, _u12850, _u12850), _u12853), _u12852) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12850, _u12850, _u12850), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool)), _u12851), _u12853)), _u12852) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12854, _u12854), tc_HOL_Obool)), _u12855), _u12856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12854, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12854, _u12856)), c_Wellfounded_Oacc(_u12854, _u12855))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12857), _u12858), c_Wellfounded_Oacc(_u12857, _u12859))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12857, _u12857)), hAPP(hAPP(c_Product__Type_OPair(_u12857, _u12857), _u12860), _u12858)), _u12859)) | hBOOL(hAPP(hAPP(c_member(_u12857), _u12860), c_Wellfounded_Oacc(_u12857, _u12859))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12866), _u12868), c_Wellfounded_Oacc(_u12866, _u12870))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12866, _u12866)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12866), _u12861), _u12868)), _u12870)) | hBOOL(hAPP(hAPP(c_member(_u12866), _u12861), c_Wellfounded_Oacc(_u12866, _u12870))) )).
% 12.28/12.48 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12867), _u12869), c_Wellfounded_Oacc(_u12867, _u12871))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12867, _u12867)), hAPP(hAPP(c_Product__Type_OPair(_u12867, _u12867), skolem324(_u12871, _u12869, _u12867)), _u12869)), _u12871)) )).
% 12.28/12.48 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12867), _u12869), c_Wellfounded_Oacc(_u12867, _u12871))) | ~hBOOL(hAPP(hAPP(c_member(_u12867), skolem324(_u12871, _u12869, _u12867)), c_Wellfounded_Oacc(_u12867, _u12871))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12872, _u12872), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12872, _u12872, _u12872), _u12873), _u12874)), _u12873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12872, _u12873)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12872, _u12874)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12872, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12872, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12872, _u12873))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12875, _u12875), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12875, _u12875, _u12875), _u12876), _u12877)), _u12876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12875, _u12876)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12875, _u12877)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12875, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12875, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12875, _u12876))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u12878, _u12879, _u12880, _u12881, _u12882) | ( hAPP(c_Set_Oimage(_u12879, _u12878, _u12881), _u12882) = c_Orderings_Otop__class_Otop(tc_fun(_u12878, tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u12883, _u12884, _u12885, _u12886, _u12887) | ( hAPP(c_Set_Oimage(_u12883, _u12884, _u12885), c_Orderings_Otop__class_Otop(tc_fun(_u12883, tc_HOL_Obool))) = _u12887) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12889), hAPP(_u12890, _u12893)), _u12892)) | ~c_Typedef_Otype__definition(_u12888, _u12889, _u12890, _u12891, _u12892) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u12897, hAPP(_u12896, _u12899)) = _u12899) | ~c_Typedef_Otype__definition(_u12894, _u12895, _u12896, _u12897, _u12898) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12900, _u12901, _u12902, _u12903, _u12904) | ( hAPP(_u12902, _u12905) != hAPP(_u12902, _u12906)) | ( _u12905 = _u12906) )).
% 12.28/12.48 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12900, _u12901, _u12902, _u12903, _u12904) | ( _u12905 != _u12906) | ( hAPP(_u12902, _u12905) = hAPP(_u12902, _u12906)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12907, _u12908, _u12909, _u12910, _u12911) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12912), _u12911)) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12913), _u12911)) | ( hAPP(_u12910, _u12912) != hAPP(_u12910, _u12913)) | ( _u12912 = _u12913) )).
% 12.28/12.48 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12907, _u12908, _u12909, _u12910, _u12911) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12912), _u12911)) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12913), _u12911)) | ( _u12912 != _u12913) | ( hAPP(_u12910, _u12912) = hAPP(_u12910, _u12913)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12915), _u12919), _u12918)) | ( hAPP(_u12916, hAPP(_u12917, _u12919)) = _u12919) | ~c_Typedef_Otype__definition(_u12914, _u12915, _u12916, _u12917, _u12918) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12927, _u12929, _u12931, hAPP(hAPP(c_COMBC(_u12927, tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_fun(_u12929, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12929, tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_fun(_u12929, tc_HOL_Obool)), _u12927), c_COMBC(_u12929, tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12929, tc_prod(_u12927, _u12929)), tc_fun(_u12929, tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool)), _u12927), hAPP(c_COMBB(tc_prod(_u12927, _u12929), tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool), _u12929), c_member(tc_prod(_u12927, _u12929)))), c_Product__Type_OPair(_u12927, _u12929)))), _u12933), hAPP(hAPP(c_COMBC(_u12929, tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_fun(_u12931, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12931, tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_fun(_u12931, tc_HOL_Obool)), _u12929), c_COMBC(_u12931, tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12931, tc_prod(_u12929, _u12931)), tc_fun(_u12931, tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool)), _u12929), hAPP(c_COMBB(tc_prod(_u12929, _u12931), tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool), _u12931), c_member(tc_prod(_u12929, _u12931)))), c_Product__Type_OPair(_u12929, _u12931)))), _u12935)), _u12937), _u12939)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12927, _u12931)), hAPP(hAPP(c_Product__Type_OPair(_u12927, _u12931), _u12937), _u12939)), hAPP(hAPP(c_Relation_Orel__comp(_u12927, _u12929, _u12931), _u12933), _u12935))) )).
% 12.28/12.48 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12928, _u12932)), hAPP(hAPP(c_Product__Type_OPair(_u12928, _u12932), _u12938), _u12940)), hAPP(hAPP(c_Relation_Orel__comp(_u12928, _u12930, _u12932), _u12934), _u12936))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12928, _u12930, _u12932, hAPP(hAPP(c_COMBC(_u12928, tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_fun(_u12930, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12930, tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_fun(_u12930, tc_HOL_Obool)), _u12928), c_COMBC(_u12930, tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12930, tc_prod(_u12928, _u12930)), tc_fun(_u12930, tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool)), _u12928), hAPP(c_COMBB(tc_prod(_u12928, _u12930), tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool), _u12930), c_member(tc_prod(_u12928, _u12930)))), c_Product__Type_OPair(_u12928, _u12930)))), _u12934), hAPP(hAPP(c_COMBC(_u12930, tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_fun(_u12932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12932, tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_fun(_u12932, tc_HOL_Obool)), _u12930), c_COMBC(_u12932, tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12932, tc_prod(_u12930, _u12932)), tc_fun(_u12932, tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool)), _u12930), hAPP(c_COMBB(tc_prod(_u12930, _u12932), tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool), _u12932), c_member(tc_prod(_u12930, _u12932)))), c_Product__Type_OPair(_u12930, _u12932)))), _u12936)), _u12938), _u12940)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u12941, _u12942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12941, _u12941), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12941, _u12941, _u12941), _u12942), _u12943)), _u12942)) | c_FunDef_Oreduction__pair(_u12941, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12941, _u12941), tc_HOL_Obool), tc_fun(tc_prod(_u12941, _u12941), tc_HOL_Obool)), _u12942), _u12943)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12952), _u12956)) )).
% 12.28/12.48 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12952), _u12958)) )).
% 12.28/12.48 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | ( _u12958 != c_Orderings_Obot__class_Obot(tc_fun(_u12952, tc_HOL_Obool))) )).
% 12.28/12.48 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | ~hBOOL(hAPP(hAPP(c_member(_u12952), _u12945), _u12956)) | hBOOL(hAPP(hAPP(c_member(_u12952), skolem325(_u12958, _u12956, _u12954, _u12952, _u12945)), _u12958)) )).
% 12.28/12.48 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | ~hBOOL(hAPP(hAPP(c_member(_u12952), _u12945), _u12956)) | hBOOL(hAPP(hAPP(_u12954, _u12945), skolem325(_u12958, _u12956, _u12954, _u12952, _u12945))) )).
% 12.28/12.48 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u12953, _u12955, _u12957, _u12959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12957)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12959)) | ( _u12959 = c_Orderings_Obot__class_Obot(tc_fun(_u12953, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12953), skolem326(_u12959, _u12957, _u12955, _u12953)), _u12957)) )).
% 12.28/12.48 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u12953, _u12955, _u12957, _u12959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12957)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12959)) | ( _u12959 = c_Orderings_Obot__class_Obot(tc_fun(_u12953, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12953), _u12946), _u12959)) | ~hBOOL(hAPP(hAPP(_u12955, skolem326(_u12959, _u12957, _u12955, _u12953)), _u12946)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12960, _u12961), _u12962)) | ~hBOOL(hAPP(hAPP(_u12963, _u12962), _u12964)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12965, _u12966, _u12967, _u12960, _u12963), _u12961), _u12964)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u12968, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12968, _u12968), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u12969, _u12970) | c_Wellfounded_Owf(_u12971, hAPP(hAPP(c_Relation_Oinv__image(_u12969, _u12971), _u12970), _u12972)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u12973, _u12974) | ~c_Wellfounded_Owf(_u12975, _u12976) | c_Wellfounded_Owf(tc_prod(_u12973, _u12975), c_Wellfounded_Olex__prod(_u12973, _u12975, _u12974, _u12976)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u12977, hAPP(c_Wellfounded_Omeasure(_u12977), _u12978)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u12981, _u12983) | c_Wellfounded_Owf(_u12981, hAPP(hAPP(c_Relation_Orel__comp(_u12981, _u12981, _u12981), _u12983), _u12983)) )).
% 12.28/12.48 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u12982, hAPP(hAPP(c_Relation_Orel__comp(_u12982, _u12982, _u12982), _u12984), _u12984)) | c_Wellfounded_Owf(_u12982, _u12984) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u12985, _u12986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12985, _u12985), tc_HOL_Obool)), _u12987), _u12986)) | c_Wellfounded_Owf(_u12985, _u12987) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12988, _u12989) | c_Wellfounded_Owf(tc_fun(_u12988, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12988, _u12989)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__less-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12999, _u13001, _u13003, _u13005, _u13007), _u13009), _u13011)) | hBOOL(hAPP(hAPP(_u13005, _u13009), skolem327(_u13011, _u13009, _u13007, _u13005))) )).
% 12.28/12.48 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12999, _u13001, _u13003, _u13005, _u13007), _u13009), _u13011)) | hBOOL(hAPP(hAPP(_u13007, skolem327(_u13011, _u13009, _u13007, _u13005)), _u13011)) )).
% 12.28/12.48 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u13006, _u13010), _u12991)) | ~hBOOL(hAPP(hAPP(_u13008, _u12991), _u13012)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13000, _u13002, _u13004, _u13006, _u13008), _u13010), _u13012)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u13013, _u13014) | c_Wellfounded_Owf(_u13013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13013, _u13013), tc_HOL_Obool)), _u13015), _u13014)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u13016, _u13017) | c_Wellfounded_Owf(_u13016, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13016, _u13016), tc_HOL_Obool)), _u13017), _u13018)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u13019, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13019)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u13020, _u13021) | c_Wellfounded_Owf(_u13020, c_Wellfounded_Omlex__prod(_u13020, _u13022, _u13021)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13023, _u13024) | c_Wellfounded_Owf(tc_fun(_u13023, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13023, _u13024)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u13025, _u13026) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), hAPP(hAPP(c_Product__Type_OPair(_u13025, _u13025), _u13027), _u13027)), _u13026)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u13028, _u13029) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13028, _u13028)), hAPP(hAPP(c_Product__Type_OPair(_u13028, _u13028), _u13030), _u13031)), _u13029)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13028, _u13028)), hAPP(hAPP(c_Product__Type_OPair(_u13028, _u13028), _u13031), _u13030)), _u13029)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u13032, _u13033) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13032, _u13032)), hAPP(hAPP(c_Product__Type_OPair(_u13032, _u13032), _u13034), _u13035)), _u13033)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13032, _u13032)), hAPP(hAPP(c_Product__Type_OPair(_u13032, _u13032), _u13035), _u13034)), _u13033)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u13036, _u13037) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13036, _u13036)), hAPP(hAPP(c_Product__Type_OPair(_u13036, _u13036), _u13038), _u13038)), _u13037)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13039)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13040)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u13045, _u13047) | hBOOL(hAPP(hAPP(c_member(_u13045), _u13041), c_Wellfounded_Oacc(_u13045, _u13047))) )).
% 12.28/12.48 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13046), skolem328(_u13048, _u13046)), c_Wellfounded_Oacc(_u13046, _u13048))) | c_Wellfounded_Owf(_u13046, _u13048) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u13049, _u13050) | hBOOL(hAPP(hAPP(c_member(_u13049), _u13051), c_Wellfounded_Oacc(_u13049, _u13050))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13052, _u13052, _u13052), _u13053), _u13053) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13052, _u13052), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13052, _u13053) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), _u13059), _u13061)) | c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13059), _u13059)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13061), _u13059))), _u13061)) )).
% 12.28/12.48 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13060), _u13060)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13062), _u13060))), _u13062)) | c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), _u13060), _u13062)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u13069, _u13071) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13069, _u13069)), hAPP(hAPP(c_Product__Type_OPair(_u13069, _u13069), hAPP(_u13064, hAPP(c_Nat_OSuc, skolem329(_u13071, _u13069, _u13064)))), hAPP(_u13064, skolem329(_u13071, _u13069, _u13064)))), _u13071)) )).
% 12.28/12.48 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13070, _u13070)), hAPP(hAPP(c_Product__Type_OPair(_u13070, _u13070), hAPP(skolem330(_u13072, _u13070), hAPP(c_Nat_OSuc, _u13065))), hAPP(skolem330(_u13072, _u13070), _u13065))), _u13072)) | c_Wellfounded_Owf(_u13070, _u13072) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u13073, _u13074) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13073, tc_HOL_Obool)), _u13075), hAPP(c_Relation_OImage(_u13073, _u13073, _u13074), _u13075))) | ( _u13075 = c_Orderings_Obot__class_Obot(tc_fun(_u13073, tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u13076, _u13077) | ~c_Wellfounded_Owf(_u13076, _u13078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13076, _u13076), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13076, _u13076, _u13076), _u13077), _u13078)), _u13077)) | c_Wellfounded_Owf(_u13076, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13076, _u13076), tc_HOL_Obool)), _u13077), _u13078)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u13079) | c_Wellfounded_Owf(_u13079, hAPP(c_Set_OCollect(tc_prod(_u13079, _u13079)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13079, _u13079, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13079)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13082, _u13084) | c_Wellfounded_Owf(_u13082, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084)) )).
% 12.28/12.48 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u13082, _u13084) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13082, _u13082), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084))) )).
% 12.28/12.48 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u13083, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13083, _u13083, _u13083), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085))) | c_FunDef_Oreduction__pair(_u13083, _u13085) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13086, _u13087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13088), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool), tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13087))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13089), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool), tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13087))) | ~c_Wellfounded_Owf(_u13086, _u13089) | c_Wellfounded_Owf(_u13086, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13088), _u13089)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u13090, _u13091) | c_Wellfounded_Owf(tc_List_Olist(_u13090), c_List_Olenlex(_u13090, _u13091)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u13096, hAPP(c_Set_OCollect(tc_prod(_u13096, _u13096)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13096, _u13096, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(_u13096, tc_HOL_Obool), _u13096), hAPP(c_COMBS(_u13096, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13096), c_fconj), _u13093))), hAPP(hAPP(c_COMBC(_u13096, tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), _u13096), c_COMBB(_u13096, tc_HOL_Obool, _u13096)), c_fequal)), _u13095))))) | hBOOL(hAPP(_u13093, skolem331(_u13096, _u13095, _u13094, _u13093))) )).
% 12.28/12.48 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u13096, hAPP(c_Set_OCollect(tc_prod(_u13096, _u13096)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13096, _u13096, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(_u13096, tc_HOL_Obool), _u13096), hAPP(c_COMBS(_u13096, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13096), c_fconj), _u13093))), hAPP(hAPP(c_COMBC(_u13096, tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), _u13096), c_COMBB(_u13096, tc_HOL_Obool, _u13096)), c_fequal)), _u13095))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13094, hAPP(_u13095, skolem331(_u13096, _u13095, _u13094, _u13093)))), hAPP(_u13094, skolem331(_u13096, _u13095, _u13094, _u13093)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13101)) | ( _u13101 = c_Orderings_Obot__class_Obot(tc_fun(_u13099, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool)), _u13100), _u13101)), c_Wellfounded_Omax__ext(_u13099, _u13102))) | hBOOL(hAPP(hAPP(c_member(_u13099), skolem332(_u13102, _u13101, _u13100, _u13099)), _u13100)) )).
% 12.28/12.48 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13101)) | ( _u13101 = c_Orderings_Obot__class_Obot(tc_fun(_u13099, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool)), _u13100), _u13101)), c_Wellfounded_Omax__ext(_u13099, _u13102))) | ~hBOOL(hAPP(hAPP(c_member(_u13099), _u13097), _u13101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13099, _u13099)), hAPP(hAPP(c_Product__Type_OPair(_u13099, _u13099), skolem332(_u13102, _u13101, _u13100, _u13099)), _u13097)), _u13102)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_pred__nat__def-1, axiom, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u13103, _u13104) | c_Wellfounded_Owf(tc_List_Olist(_u13103), c_List_Olex(_u13103, _u13104)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u13105, _u13106) | c_Wellfounded_Owf(tc_List_Olist(_u13105), hAPP(c_List_Olexn(_u13105, _u13106), _u13107)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u13108, _u13109) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13108), tc_List_Olist(_u13108)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13108, _u13109))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u13110, _u13111), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13110), tc_List_Olist(_u13110)), tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u13116, _u13114), c_Recdef_Osame__fst(_u13116, _u13114, _u13113, _u13115)) | hBOOL(hAPP(_u13113, skolem333(_u13116, _u13115, _u13114, _u13113))) )).
% 12.28/12.48 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u13116, _u13114), c_Recdef_Osame__fst(_u13116, _u13114, _u13113, _u13115)) | ~c_Wellfounded_Owf(_u13114, hAPP(_u13115, skolem333(_u13116, _u13115, _u13114, _u13113))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u13117) = c_Nitpick_OAbs__Frac(_u13117, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u13118, _u13119), hAPP(c_Set_OCollect(tc_prod(_u13118, _u13119)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13118, _u13119, tc_HOL_Obool), _u13120))) = hAPP(c_Set_OCollect(_u13119), hAPP(hAPP(c_COMBB(tc_fun(_u13118, tc_HOL_Obool), tc_HOL_Obool, _u13119), c_HOL_OEx(_u13118)), hAPP(c_COMBC(_u13118, _u13119, tc_HOL_Obool), _u13120)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13121, _u13122)), hAPP(hAPP(c_Product__Type_OPair(_u13121, _u13122), _u13123), _u13124)), _u13125)) | hBOOL(hAPP(hAPP(c_member(_u13122), _u13124), hAPP(c_Relation_ORange(_u13121, _u13122), _u13125))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u13126, _u13126), c_Relation_OId__on(_u13126, _u13127)) = _u13127) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13128, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13128, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13129, _u13128), _u13130)), hAPP(c_Relation_ORange(_u13129, _u13128), _u13131))), hAPP(c_Relation_ORange(_u13129, _u13128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13129, _u13128), tc_HOL_Obool)), _u13130), _u13131)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u13132, _u13133), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13132, _u13133), tc_HOL_Obool), _u13134)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13132, _u13133), tc_HOL_Obool), tc_fun(_u13133, tc_HOL_Obool)), _u13134), c_Relation_ORange(_u13132, _u13133))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u13135, _u13136), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13135, _u13136), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13136, tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u13140, _u13142), _u13144) != c_Orderings_Obot__class_Obot(tc_fun(_u13142, tc_HOL_Obool))) | ( _u13144 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13140, _u13142), tc_HOL_Obool))) )).
% 12.28/12.48 cnf(fact_Range__empty__iff-2, axiom, ( ( _u13145 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13141, _u13143), _u13145) = c_Orderings_Obot__class_Obot(tc_fun(_u13143, tc_HOL_Obool))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u13146, _u13147), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13146, _u13147), tc_HOL_Obool)), _u13148), _u13149)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13147, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13146, _u13147), _u13148)), hAPP(c_Relation_ORange(_u13146, _u13147), _u13149))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13150, _u13151)), _u13152)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13151), hAPP(c_Relation_ORange(_u13150, _u13151), _u13152))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13153, _u13154), _u13154, c_Product__Type_Osnd(_u13153, _u13154)), _u13155) = hAPP(c_Relation_ORange(_u13153, _u13154), _u13155)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13162), _u13164), hAPP(c_Relation_ORange(_u13166, _u13162), _u13168))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13166, _u13162)), hAPP(hAPP(c_Product__Type_OPair(_u13166, _u13162), skolem334(_u13168, _u13166, _u13164, _u13162)), _u13164)), _u13168)) )).
% 12.28/12.48 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13167, _u13163)), hAPP(hAPP(c_Product__Type_OPair(_u13167, _u13163), _u13157), _u13165)), _u13169)) | hBOOL(hAPP(hAPP(c_member(_u13163), _u13165), hAPP(c_Relation_ORange(_u13167, _u13163), _u13169))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u13170, _u13171), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13170, _u13171)), hAPP(hAPP(c_Product__Type_OPair(_u13170, _u13171), _u13172), _u13173)), _u13174)) = hAPP(hAPP(c_Set_Oinsert(_u13171), _u13173), hAPP(c_Relation_ORange(_u13170, _u13171), _u13174))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13175, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13176, _u13175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13176, _u13175), tc_HOL_Obool)), _u13177), _u13178))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13175, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13176, _u13175), _u13177)), hAPP(c_Relation_ORange(_u13176, _u13175), _u13178)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u13179) = c_Nitpick_OAbs__Frac(_u13179, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u13180, _u13181) = c_Nitpick_OAbs__Frac(_u13180, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u13181), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13186, _u13188, hAPP(hAPP(c_COMBC(_u13186, tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_HOL_Obool)), _u13186), c_COMBC(_u13188, tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_prod(_u13186, _u13188)), tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool)), _u13186), hAPP(c_COMBB(tc_prod(_u13186, _u13188), tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool), _u13188), c_member(tc_prod(_u13186, _u13188)))), c_Product__Type_OPair(_u13186, _u13188)))), _u13190)), _u13192)) | hBOOL(hAPP(hAPP(c_member(_u13188), _u13192), hAPP(c_Relation_ORange(_u13186, _u13188), _u13190))) )).
% 12.28/12.48 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13189), _u13193), hAPP(c_Relation_ORange(_u13187, _u13189), _u13191))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13187, _u13189, hAPP(hAPP(c_COMBC(_u13187, tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_fun(_u13189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_fun(_u13189, tc_HOL_Obool)), _u13187), c_COMBC(_u13189, tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, tc_prod(_u13187, _u13189)), tc_fun(_u13189, tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool)), _u13187), hAPP(c_COMBB(tc_prod(_u13187, _u13189), tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool), _u13189), c_member(tc_prod(_u13187, _u13189)))), c_Product__Type_OPair(_u13187, _u13189)))), _u13191)), _u13193)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13194, _u13195), _u13196)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13197, _u13198, _u13194), _u13196)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13209, skolem335(_u13211, _u13209)), _u13211)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13205, _u13207, _u13209), _u13211)) )).
% 12.28/12.48 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13210, _u13200), _u13212)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13206, _u13208, _u13210), _u13212)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u13213), _u13214), _u13215) = c_Nitpick_OAbs__Frac(_u13213, c_Nitpick_Onorm__frac(_u13214, _u13215))) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 12.28/12.48 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13217), _u13218), hAPP(c_Relation_ORange(_u13219, _u13217), _u13220))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13219, _u13217)), hAPP(hAPP(c_Product__Type_OPair(_u13219, _u13217), skolem336(_u13220, _u13219, _u13218, _u13217)), _u13218)), _u13220)) )).
% 12.28/12.48
% 12.28/12.48 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u13221, _u13222) | ~c_Wellfounded_Owf(_u13221, _u13223) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13221, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13221, _u13221), _u13222)), hAPP(c_Relation_ORange(_u13221, _u13221), _u13223)) != c_Orderings_Obot__class_Obot(tc_fun(_u13221, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13221, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13221, _u13221), tc_HOL_Obool)), _u13222), _u13223)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13224, _u13225)), hAPP(hAPP(c_Product__Type_OPair(_u13224, _u13225), _u13226), _u13227)), _u13228)) | hBOOL(hAPP(hAPP(c_member(_u13224), _u13226), hAPP(c_Relation_ODomain(_u13224, _u13225), _u13228))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13229, _u13229), c_Relation_OId__on(_u13229, _u13230)) = _u13230) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13231, _u13232), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13231, _u13232), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13231, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13236, _u13238), _u13240) != c_Orderings_Obot__class_Obot(tc_fun(_u13236, tc_HOL_Obool))) | ( _u13240 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool))) )).
% 12.28/12.49 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u13241 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13237, _u13239), _u13241) = c_Orderings_Obot__class_Obot(tc_fun(_u13237, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13242, _u13243), tc_HOL_Obool)), _u13244), _u13245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13242, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13242, _u13243), _u13244)), hAPP(c_Relation_ODomain(_u13242, _u13243), _u13245))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13246, _u13247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13246, _u13247), tc_HOL_Obool)), _u13248), _u13249)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13246, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13246, _u13247), _u13248)), hAPP(c_Relation_ODomain(_u13246, _u13247), _u13249))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13250, _u13251)), _u13252)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13250), hAPP(c_Relation_ODomain(_u13250, _u13251), _u13252))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13253, _u13254), _u13253, c_Product__Type_Ofst(_u13253, _u13254)), _u13255) = hAPP(c_Relation_ODomain(_u13253, _u13254), _u13255)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13262), _u13264), hAPP(c_Relation_ODomain(_u13262, _u13266), _u13268))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13262, _u13266)), hAPP(hAPP(c_Product__Type_OPair(_u13262, _u13266), _u13264), skolem337(_u13268, _u13266, _u13264, _u13262))), _u13268)) )).
% 12.28/12.49 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13263, _u13267)), hAPP(hAPP(c_Product__Type_OPair(_u13263, _u13267), _u13265), _u13257)), _u13269)) | hBOOL(hAPP(hAPP(c_member(_u13263), _u13265), hAPP(c_Relation_ODomain(_u13263, _u13267), _u13269))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13270, _u13271), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13270, _u13271)), hAPP(hAPP(c_Product__Type_OPair(_u13270, _u13271), _u13272), _u13273)), _u13274)) = hAPP(hAPP(c_Set_Oinsert(_u13270), _u13272), hAPP(c_Relation_ODomain(_u13270, _u13271), _u13274))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13275, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13275, _u13276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13275, _u13276), tc_HOL_Obool)), _u13277), _u13278))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13275, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13275, _u13276), _u13277)), hAPP(c_Relation_ODomain(_u13275, _u13276), _u13278)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13279, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13279, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13279, _u13280), _u13281)), hAPP(c_Relation_ODomain(_u13279, _u13280), _u13282))), hAPP(c_Relation_ODomain(_u13279, _u13280), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13279, _u13280), tc_HOL_Obool)), _u13281), _u13282)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u13283), _u13284) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13283, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13283, _u13283), _u13284)), hAPP(c_Relation_ORange(_u13283, _u13283), _u13284))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13285, _u13286), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13285, _u13286), tc_HOL_Obool), _u13287)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13285, _u13286), tc_HOL_Obool), tc_fun(_u13285, tc_HOL_Obool)), _u13287), c_Relation_ODomain(_u13285, _u13286))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13288, _u13289), hAPP(c_Set_OCollect(tc_prod(_u13288, _u13289)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13288, _u13289, tc_HOL_Obool), _u13290))) = hAPP(c_Set_OCollect(_u13288), hAPP(hAPP(c_COMBB(tc_fun(_u13289, tc_HOL_Obool), tc_HOL_Obool, _u13288), c_HOL_OEx(_u13289)), _u13290))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13295, _u13297, hAPP(hAPP(c_COMBC(_u13295, tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_fun(_u13297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_fun(_u13297, tc_HOL_Obool)), _u13295), c_COMBC(_u13297, tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_prod(_u13295, _u13297)), tc_fun(_u13297, tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool)), _u13295), hAPP(c_COMBB(tc_prod(_u13295, _u13297), tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool), _u13297), c_member(tc_prod(_u13295, _u13297)))), c_Product__Type_OPair(_u13295, _u13297)))), _u13299)), _u13301)) | hBOOL(hAPP(hAPP(c_member(_u13295), _u13301), hAPP(c_Relation_ODomain(_u13295, _u13297), _u13299))) )).
% 12.28/12.49 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13296), _u13302), hAPP(c_Relation_ODomain(_u13296, _u13298), _u13300))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13296, _u13298, hAPP(hAPP(c_COMBC(_u13296, tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_fun(_u13298, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13298, tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_fun(_u13298, tc_HOL_Obool)), _u13296), c_COMBC(_u13298, tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13298, tc_prod(_u13296, _u13298)), tc_fun(_u13298, tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool)), _u13296), hAPP(c_COMBB(tc_prod(_u13296, _u13298), tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool), _u13298), c_member(tc_prod(_u13296, _u13298)))), c_Product__Type_OPair(_u13296, _u13298)))), _u13300)), _u13302)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13304), _u13305), hAPP(c_Relation_ODomain(_u13304, _u13306), _u13307))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13304, _u13306)), hAPP(hAPP(c_Product__Type_OPair(_u13304, _u13306), _u13305), skolem338(_u13307, _u13306, _u13305, _u13304))), _u13307)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u13308, tc_prod(_u13309, _u13310), hAPP(hAPP(c_COMBS(_u13308, _u13310, tc_prod(_u13309, _u13310)), hAPP(hAPP(c_COMBB(_u13309, tc_fun(_u13310, tc_prod(_u13309, _u13310)), _u13308), c_Product__Type_OPair(_u13309, _u13310)), _u13311)), _u13312)), _u13313) = hAPP(hAPP(c_Product__Type_OSigma(_u13309, _u13310), hAPP(c_Set_Oimage(_u13308, _u13309, _u13311), _u13313)), hAPP(hAPP(c_COMBB(tc_fun(_u13308, tc_HOL_Obool), tc_fun(_u13310, tc_HOL_Obool), _u13309), c_Set_Oimage(_u13308, _u13310, _u13312)), hAPP(hAPP(c_COMBC(_u13309, tc_fun(_u13308, tc_HOL_Obool), tc_fun(_u13308, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13308, tc_HOL_Obool), tc_fun(tc_fun(_u13308, tc_HOL_Obool), tc_fun(_u13308, tc_HOL_Obool)), _u13309), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13308, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13309, tc_HOL_Obool), tc_fun(_u13308, tc_HOL_Obool), _u13309), c_Set_Ovimage(_u13308, _u13309, _u13311)), hAPP(hAPP(c_COMBC(_u13309, tc_fun(_u13309, tc_HOL_Obool), tc_fun(_u13309, tc_HOL_Obool)), c_Set_Oinsert(_u13309)), c_Orderings_Obot__class_Obot(tc_fun(_u13309, tc_HOL_Obool)))))), _u13313)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13314, _u13315), _u13316)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13317, _u13318, _u13314), _u13315)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13319), _u13320), _u13321)) | ~hBOOL(hAPP(hAPP(c_member(_u13322), _u13323), hAPP(_u13324, _u13320))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13319, _u13322)), hAPP(hAPP(c_Product__Type_OPair(_u13319, _u13322), _u13320), _u13323)), hAPP(hAPP(c_Product__Type_OSigma(_u13319, _u13322), _u13321), _u13324))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13325, _u13326), c_Orderings_Obot__class_Obot(tc_fun(_u13325, tc_HOL_Obool))), _u13327) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13325, _u13326), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13328), _u13329), _u13330)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13332), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330)) != hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13333), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330))) | ( _u13332 = _u13333) )).
% 12.28/12.49 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13328), _u13329), _u13330)) | ( _u13332 != _u13333) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13332), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330)) = hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13333), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13334, _u13335), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u13334, tc_HOL_Obool), _u13336)), _u13337) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u13334, tc_HOL_Obool), tc_fun(tc_prod(_u13334, _u13335), tc_HOL_Obool)), _u13336), hAPP(hAPP(c_COMBC(tc_fun(_u13334, tc_HOL_Obool), tc_fun(_u13334, tc_fun(_u13335, tc_HOL_Obool)), tc_fun(tc_prod(_u13334, _u13335), tc_HOL_Obool)), c_Product__Type_OSigma(_u13334, _u13335)), _u13337))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13338, _u13339)), hAPP(hAPP(c_Product__Type_OSigma(_u13338, _u13339), _u13340), hAPP(c_COMBK(tc_fun(_u13339, tc_HOL_Obool), _u13338), _u13341))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13338), _u13340)), hAPP(c_Finite__Set_Ocard(_u13339), _u13341))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13342) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13343, _u13342), hAPP(hAPP(c_COMBC(_u13343, tc_fun(_u13344, tc_HOL_Obool), _u13342), hAPP(hAPP(c_COMBB(tc_fun(_u13344, _u13342), tc_fun(tc_fun(_u13344, tc_HOL_Obool), _u13342), _u13343), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13344, _u13342)), _u13345)), _u13346)), _u13347) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13343, _u13344), _u13342), hAPP(c_Product__Type_Oprod_Oprod__case(_u13343, _u13344, _u13342), _u13345)), hAPP(hAPP(c_Product__Type_OSigma(_u13343, _u13344), _u13347), hAPP(c_COMBK(tc_fun(_u13344, tc_HOL_Obool), _u13343), _u13346)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13348, _u13349), _u13350), hAPP(c_COMBK(tc_fun(_u13349, tc_HOL_Obool), _u13348), c_Orderings_Obot__class_Obot(tc_fun(_u13349, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13348, _u13349), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13355, _u13357), _u13359), hAPP(c_COMBK(tc_fun(_u13357, tc_HOL_Obool), _u13355), _u13361)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13355, _u13357), tc_HOL_Obool))) | ( _u13359 = c_Orderings_Obot__class_Obot(tc_fun(_u13355, tc_HOL_Obool))) | ( _u13361 = c_Orderings_Obot__class_Obot(tc_fun(_u13357, tc_HOL_Obool))) )).
% 12.28/12.49 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13356, _u13358), _u13360), hAPP(c_COMBK(tc_fun(_u13358, tc_HOL_Obool), _u13356), _u13362)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13356, _u13358), tc_HOL_Obool))) | ( _u13360 != c_Orderings_Obot__class_Obot(tc_fun(_u13356, tc_HOL_Obool))) )).
% 12.28/12.49 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13356, _u13358), _u13360), hAPP(c_COMBK(tc_fun(_u13358, tc_HOL_Obool), _u13356), _u13362)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13356, _u13358), tc_HOL_Obool))) | ( _u13362 != c_Orderings_Obot__class_Obot(tc_fun(_u13358, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13363, _u13364), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13363, _u13364), _u13365), hAPP(c_COMBK(tc_fun(_u13364, tc_HOL_Obool), _u13363), c_Orderings_Otop__class_Otop(tc_fun(_u13364, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13363, _u13364), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13363, tc_HOL_Obool)), _u13365)), hAPP(c_COMBK(tc_fun(_u13364, tc_HOL_Obool), _u13363), c_Orderings_Otop__class_Otop(tc_fun(_u13364, tc_HOL_Obool))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13366, _u13367), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13366, _u13367), c_Orderings_Otop__class_Otop(tc_fun(_u13366, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13367, tc_HOL_Obool), _u13366), _u13368))) = hAPP(hAPP(c_Product__Type_OSigma(_u13366, _u13367), c_Orderings_Otop__class_Otop(tc_fun(_u13366, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13367, tc_HOL_Obool), _u13366), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13367, tc_HOL_Obool)), _u13368)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13369) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13370, _u13369), hAPP(hAPP(c_COMBC(_u13370, tc_fun(_u13371, tc_HOL_Obool), _u13369), hAPP(hAPP(c_COMBB(tc_fun(_u13371, _u13369), tc_fun(tc_fun(_u13371, tc_HOL_Obool), _u13369), _u13370), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13371, _u13369)), _u13372)), _u13373)), _u13374) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13370, _u13371), _u13369), hAPP(c_Product__Type_Oprod_Oprod__case(_u13370, _u13371, _u13369), _u13372)), hAPP(hAPP(c_Product__Type_OSigma(_u13370, _u13371), _u13374), hAPP(c_COMBK(tc_fun(_u13371, tc_HOL_Obool), _u13370), _u13373)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13375, _u13376), _u13377), hAPP(hAPP(c_COMBS(_u13375, tc_fun(_u13376, tc_HOL_Obool), tc_fun(_u13376, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13376, tc_HOL_Obool), tc_fun(tc_fun(_u13376, tc_HOL_Obool), tc_fun(_u13376, tc_HOL_Obool)), _u13375), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13376, tc_HOL_Obool))), _u13378)), _u13379)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13375, _u13376), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13375, _u13376), _u13377), _u13378)), hAPP(hAPP(c_Product__Type_OSigma(_u13375, _u13376), _u13377), _u13379))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13380, _u13381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13380, tc_HOL_Obool)), _u13382), _u13383)), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13380), _u13384)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13380, _u13381), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13380, _u13381), _u13382), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13380), _u13384))), hAPP(hAPP(c_Product__Type_OSigma(_u13380, _u13381), _u13383), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13380), _u13384)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13385, _u13386), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13385, tc_HOL_Obool)), _u13387), _u13388)), _u13389) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13385, _u13386), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13385, _u13386), _u13387), _u13389)), hAPP(hAPP(c_Product__Type_OSigma(_u13385, _u13386), _u13388), _u13389))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13390, _u13391), tc_HOL_Obool)), _u13392), hAPP(hAPP(c_Product__Type_OSigma(_u13390, _u13391), _u13393), hAPP(c_COMBK(tc_fun(_u13391, tc_HOL_Obool), _u13390), _u13394)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13391, _u13395), tc_HOL_Obool)), _u13396), hAPP(hAPP(c_Product__Type_OSigma(_u13391, _u13395), _u13394), hAPP(c_COMBK(tc_fun(_u13395, tc_HOL_Obool), _u13391), _u13397)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13390, _u13395), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13390, _u13391, _u13395), _u13392), _u13396)), hAPP(hAPP(c_Product__Type_OSigma(_u13390, _u13395), _u13393), hAPP(c_COMBK(tc_fun(_u13395, tc_HOL_Obool), _u13390), _u13397)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13398, _u13399), tc_prod(_u13399, _u13398), hAPP(c_Product__Type_Oprod_Oprod__case(_u13398, _u13399, tc_prod(_u13399, _u13398)), hAPP(c_COMBC(_u13399, _u13398, tc_prod(_u13399, _u13398)), c_Product__Type_OPair(_u13399, _u13398)))), hAPP(hAPP(c_Product__Type_OSigma(_u13398, _u13399), _u13400), hAPP(c_COMBK(tc_fun(_u13399, tc_HOL_Obool), _u13398), _u13401))) = hAPP(hAPP(c_Product__Type_OSigma(_u13399, _u13398), _u13401), hAPP(c_COMBK(tc_fun(_u13398, tc_HOL_Obool), _u13399), _u13400))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13402), _u13403)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13405)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13402, _u13404)), hAPP(hAPP(c_Product__Type_OSigma(_u13402, _u13404), _u13403), hAPP(c_COMBK(tc_fun(_u13404, tc_HOL_Obool), _u13402), _u13405)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u13406, _u13407, _u13408) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13406, _u13406), tc_HOL_Obool)), _u13408), hAPP(hAPP(c_Product__Type_OSigma(_u13406, _u13406), _u13407), hAPP(c_COMBK(tc_fun(_u13406, tc_HOL_Obool), _u13406), _u13407)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13410), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13409, tc_HOL_Obool)), _u13411), _u13412)), _u13413) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13409, _u13410), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13410), _u13411), _u13413)), hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13410), _u13412), _u13413))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13414, _u13415), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13414, tc_HOL_Obool)), _u13416), _u13417)), hAPP(c_COMBK(tc_fun(_u13415, tc_HOL_Obool), _u13414), _u13418)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13414, _u13415), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13414, _u13415), _u13416), hAPP(c_COMBK(tc_fun(_u13415, tc_HOL_Obool), _u13414), _u13418))), hAPP(hAPP(c_Product__Type_OSigma(_u13414, _u13415), _u13417), hAPP(c_COMBK(tc_fun(_u13415, tc_HOL_Obool), _u13414), _u13418)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13420), _u13421), hAPP(hAPP(c_COMBS(_u13419, tc_fun(_u13420, tc_HOL_Obool), tc_fun(_u13420, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13420, tc_HOL_Obool), tc_fun(tc_fun(_u13420, tc_HOL_Obool), tc_fun(_u13420, tc_HOL_Obool)), _u13419), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13420, tc_HOL_Obool))), _u13422)), _u13423)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13419, _u13420), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13420), _u13421), _u13422)), hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13420), _u13421), _u13423))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13424, _u13424), tc_HOL_Obool)), c_Relation_OId__on(_u13424, _u13425)), hAPP(hAPP(c_Product__Type_OSigma(_u13424, _u13424), _u13425), hAPP(c_COMBK(tc_fun(_u13424, tc_HOL_Obool), _u13424), _u13425)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13426, _u13427), _u13428), hAPP(hAPP(c_COMBS(_u13426, tc_fun(_u13427, tc_HOL_Obool), tc_fun(_u13427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13427, tc_HOL_Obool), tc_fun(tc_fun(_u13427, tc_HOL_Obool), tc_fun(_u13427, tc_HOL_Obool)), _u13426), c_Groups_Ominus__class_Ominus(tc_fun(_u13427, tc_HOL_Obool))), _u13429)), _u13430)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13426, _u13427), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13426, _u13427), _u13428), _u13429)), hAPP(hAPP(c_Product__Type_OSigma(_u13426, _u13427), _u13428), _u13430))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13431, _u13432), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13431, tc_HOL_Obool)), _u13433), _u13434)), hAPP(c_COMBK(tc_fun(_u13432, tc_HOL_Obool), _u13431), _u13435)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13431, _u13432), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13431, _u13432), _u13433), hAPP(c_COMBK(tc_fun(_u13432, tc_HOL_Obool), _u13431), _u13435))), hAPP(hAPP(c_Product__Type_OSigma(_u13431, _u13432), _u13434), hAPP(c_COMBK(tc_fun(_u13432, tc_HOL_Obool), _u13431), _u13435)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13436, _u13437), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13436, tc_HOL_Obool)), _u13438), _u13439)), _u13440) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13436, _u13437), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13436, _u13437), _u13438), _u13440)), hAPP(hAPP(c_Product__Type_OSigma(_u13436, _u13437), _u13439), _u13440))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13451, _u13453), skolem339(_u13453, _u13451))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13447, _u13449, _u13451), _u13453)) )).
% 12.28/12.49 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13452, _u13454), _u13442)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13448, _u13450, _u13452), _u13454)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13455, _u13456), c_Orderings_Otop__class_Otop(tc_fun(_u13455, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13456, tc_HOL_Obool), _u13455), c_Orderings_Otop__class_Otop(tc_fun(_u13456, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13455, _u13456), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13457, _u13458)), hAPP(hAPP(c_Product__Type_OPair(_u13457, _u13458), _u13459), _u13460)), hAPP(hAPP(c_Product__Type_OSigma(_u13457, _u13458), _u13461), _u13462))) | hBOOL(hAPP(hAPP(c_member(_u13457), _u13459), _u13461)) )).
% 12.28/12.49 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13457, _u13458)), hAPP(hAPP(c_Product__Type_OPair(_u13457, _u13458), _u13459), _u13460)), hAPP(hAPP(c_Product__Type_OSigma(_u13457, _u13458), _u13461), _u13462))) | hBOOL(hAPP(hAPP(c_member(_u13458), _u13460), hAPP(_u13462, _u13459))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13464), _u13466), hAPP(_u13468, _u13465))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13463, _u13464)), hAPP(hAPP(c_Product__Type_OPair(_u13463, _u13464), _u13465), _u13466)), hAPP(hAPP(c_Product__Type_OSigma(_u13463, _u13464), _u13467), _u13468))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13469, _u13470)), hAPP(hAPP(c_Product__Type_OPair(_u13469, _u13470), _u13471), _u13472)), hAPP(hAPP(c_Product__Type_OSigma(_u13469, _u13470), _u13473), _u13474))) | hBOOL(hAPP(hAPP(c_member(_u13469), _u13471), _u13473)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13483)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13483), _u13485), _u13487)), hAPP(hAPP(c_Product__Type_OSigma(_u13481, _u13483), _u13489), _u13491))) | hBOOL(hAPP(hAPP(c_member(_u13481), _u13485), _u13489)) )).
% 12.28/12.49 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13483)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13483), _u13485), _u13487)), hAPP(hAPP(c_Product__Type_OSigma(_u13481, _u13483), _u13489), _u13491))) | hBOOL(hAPP(hAPP(c_member(_u13483), _u13487), hAPP(_u13491, _u13485))) )).
% 12.28/12.49 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13482), _u13486), _u13490)) | ~hBOOL(hAPP(hAPP(c_member(_u13484), _u13488), hAPP(_u13492, _u13486))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13482, _u13484)), hAPP(hAPP(c_Product__Type_OPair(_u13482, _u13484), _u13486), _u13488)), hAPP(hAPP(c_Product__Type_OSigma(_u13482, _u13484), _u13490), _u13492))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13493, _u13494)), hAPP(hAPP(c_Product__Type_OSigma(_u13493, _u13494), hAPP(hAPP(c_Set_Oinsert(_u13493), _u13495), c_Orderings_Obot__class_Obot(tc_fun(_u13493, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13494, tc_HOL_Obool), _u13493), _u13496))) = hAPP(c_Finite__Set_Ocard(_u13494), _u13496)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13497), _u13498), _u13499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13500, _u13497), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13501), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499))), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13502), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13500, tc_HOL_Obool)), _u13501), _u13502)) )).
% 12.28/12.49 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13497), _u13498), _u13499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13500, tc_HOL_Obool)), _u13501), _u13502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13500, _u13497), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13501), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499))), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13502), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13503, _u13504), tc_HOL_Obool)), _u13505), hAPP(hAPP(c_Product__Type_OSigma(_u13503, _u13504), _u13506), hAPP(c_COMBK(tc_fun(_u13504, tc_HOL_Obool), _u13503), _u13507)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13504, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13503, _u13504, _u13505), _u13508)), _u13507)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13509, _u13510)), hAPP(hAPP(c_Product__Type_OSigma(_u13509, _u13510), _u13511), hAPP(c_COMBK(tc_fun(_u13510, tc_HOL_Obool), _u13509), _u13512)))) | ( _u13511 = c_Orderings_Obot__class_Obot(tc_fun(_u13509, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13510), _u13512)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13513, _u13514)), hAPP(hAPP(c_Product__Type_OSigma(_u13513, _u13514), _u13515), hAPP(c_COMBK(tc_fun(_u13514, tc_HOL_Obool), _u13513), _u13516)))) | ( _u13516 = c_Orderings_Obot__class_Obot(tc_fun(_u13514, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13513), _u13515)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13517, _u13518)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13517, _u13518, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13517, tc_fun(_u13518, tc_HOL_Obool), tc_fun(_u13518, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13518, tc_HOL_Obool), tc_fun(_u13518, tc_HOL_Obool)), _u13517), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13518)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13517), c_fconj), _u13519))), _u13520))) = hAPP(hAPP(c_Product__Type_OSigma(_u13517, _u13518), hAPP(c_Set_OCollect(_u13517), _u13519)), hAPP(hAPP(c_COMBB(tc_fun(_u13518, tc_HOL_Obool), tc_fun(_u13518, tc_HOL_Obool), _u13517), c_Set_OCollect(_u13518)), _u13520))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u13521, _u13522)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13521, _u13522, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13521, tc_fun(_u13522, tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13522, tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), _u13521), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13522)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13521), c_fconj), _u13523))), _u13524))) = hAPP(hAPP(c_Product__Type_OSigma(_u13521, _u13522), hAPP(c_Set_OCollect(_u13521), _u13523)), hAPP(c_COMBK(tc_fun(_u13522, tc_HOL_Obool), _u13521), hAPP(c_Set_OCollect(_u13522), _u13524)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fst__image__times-1, axiom, ( ( _u13529 != c_Orderings_Obot__class_Obot(tc_fun(_u13531, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13533, _u13531), _u13533, c_Product__Type_Ofst(_u13533, _u13531)), hAPP(hAPP(c_Product__Type_OSigma(_u13533, _u13531), _u13535), hAPP(c_COMBK(tc_fun(_u13531, tc_HOL_Obool), _u13533), _u13529))) = c_Orderings_Obot__class_Obot(tc_fun(_u13533, tc_HOL_Obool))) )).
% 12.28/12.49 cnf(fact_fst__image__times-2, axiom, ( ( _u13530 = c_Orderings_Obot__class_Obot(tc_fun(_u13532, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13534, _u13532), _u13534, c_Product__Type_Ofst(_u13534, _u13532)), hAPP(hAPP(c_Product__Type_OSigma(_u13534, _u13532), _u13536), hAPP(c_COMBK(tc_fun(_u13532, tc_HOL_Obool), _u13534), _u13530))) = _u13536) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_snd__image__times-1, axiom, ( ( _u13541 != c_Orderings_Obot__class_Obot(tc_fun(_u13543, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13543, _u13545), _u13545, c_Product__Type_Osnd(_u13543, _u13545)), hAPP(hAPP(c_Product__Type_OSigma(_u13543, _u13545), _u13541), hAPP(c_COMBK(tc_fun(_u13545, tc_HOL_Obool), _u13543), _u13547))) = c_Orderings_Obot__class_Obot(tc_fun(_u13545, tc_HOL_Obool))) )).
% 12.28/12.49 cnf(fact_snd__image__times-2, axiom, ( ( _u13542 = c_Orderings_Obot__class_Obot(tc_fun(_u13544, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13544, _u13546), _u13546, c_Product__Type_Osnd(_u13544, _u13546)), hAPP(hAPP(c_Product__Type_OSigma(_u13544, _u13546), _u13542), hAPP(c_COMBK(tc_fun(_u13546, tc_HOL_Obool), _u13544), _u13548))) = _u13548) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13549, _u13550), hAPP(hAPP(c_Set_Oinsert(_u13549), _u13551), _u13552)), hAPP(c_COMBK(tc_fun(_u13550, tc_HOL_Obool), _u13549), hAPP(hAPP(c_Set_Oinsert(_u13550), _u13553), _u13554))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13549, _u13550)), hAPP(hAPP(c_Product__Type_OPair(_u13549, _u13550), _u13551), _u13553)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13549, _u13550), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13549, _u13550), _u13552), hAPP(c_COMBK(tc_fun(_u13550, tc_HOL_Obool), _u13549), hAPP(hAPP(c_Set_Oinsert(_u13550), _u13553), _u13554)))), hAPP(hAPP(c_Product__Type_OSigma(_u13549, _u13550), hAPP(hAPP(c_Set_Oinsert(_u13549), _u13551), _u13552)), hAPP(c_COMBK(tc_fun(_u13550, tc_HOL_Obool), _u13549), _u13554))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13555), _u13556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13555, _u13555), tc_HOL_Obool)), _u13557), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13555), _u13556), hAPP(c_COMBK(tc_fun(_u13555, tc_HOL_Obool), _u13555), _u13556)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13555, tc_HOL_Obool)), _u13558), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13555), _u13556), _u13557))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13555), _u13558)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13559, tc_prod(_u13560, _u13561), _u13562), hAPP(hAPP(c_Product__Type_OSigma(_u13560, _u13561), _u13563), hAPP(c_COMBK(tc_fun(_u13561, tc_HOL_Obool), _u13560), _u13564))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13559, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13559, _u13560, hAPP(c_Fun_Ocomp(tc_prod(_u13560, _u13561), _u13560, _u13559, c_Product__Type_Ofst(_u13560, _u13561)), _u13562)), _u13563)), hAPP(c_Set_Ovimage(_u13559, _u13561, hAPP(c_Fun_Ocomp(tc_prod(_u13560, _u13561), _u13561, _u13559, c_Product__Type_Osnd(_u13560, _u13561)), _u13562)), _u13564))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13565, _u13566), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13565, _u13566), _u13569), hAPP(c_COMBK(tc_fun(_u13566, tc_HOL_Obool), _u13565), _u13570))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13565, _u13566, tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13565, tc_fun(_u13566, tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool))), tc_fun(_u13566, tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), tc_fun(tc_fun(_u13566, tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool))), tc_fun(_u13566, tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool))), _u13565), c_COMBB(tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool), _u13566)), hAPP(hAPP(c_COMBB(tc_fun(_u13567, tc_HOL_Obool), tc_fun(tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), _u13565), c_Product__Type_OSigma(_u13567, _u13568)), _u13571))), hAPP(hAPP(c_COMBB(tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), _u13566), c_COMBK(tc_fun(_u13568, tc_HOL_Obool), _u13567)), _u13572)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13567, _u13568), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13565, tc_fun(_u13567, tc_HOL_Obool)), _u13569), _u13571)), hAPP(c_COMBK(tc_fun(_u13568, tc_HOL_Obool), _u13567), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13566, tc_fun(_u13568, tc_HOL_Obool)), _u13570), _u13572)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13573, _u13574), _u13575), _u13576) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13573, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), _u13575), hAPP(hAPP(c_COMBS(_u13573, tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13574, tc_HOL_Obool), tc_fun(tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), _u13573), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), _u13576)), hAPP(hAPP(c_COMBC(_u13573, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13574, tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), _u13573), c_COMBC(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13574, tc_prod(_u13573, _u13574)), tc_fun(_u13574, tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), _u13573), hAPP(c_COMBB(tc_prod(_u13573, _u13574), tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), _u13574), c_Set_Oinsert(tc_prod(_u13573, _u13574)))), c_Product__Type_OPair(_u13573, _u13574)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13577, _u13577), tc_HOL_Obool)), _u13579), hAPP(hAPP(c_Product__Type_OSigma(_u13577, _u13577), _u13578), hAPP(c_COMBK(tc_fun(_u13577, tc_HOL_Obool), _u13577), _u13578)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13577, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13577), _u13578), _u13579))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u13580) | ~c_Fun_Oinj__on(tc_prod(_u13581, _u13582), _u13580, hAPP(c_Product__Type_Oprod_Oprod__case(_u13581, _u13582, _u13580), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), hAPP(hAPP(c_COMBB(tc_fun(_u13580, _u13580), tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), _u13581), c_COMBB(_u13580, _u13580, _u13582)), hAPP(hAPP(c_COMBB(_u13580, tc_fun(_u13580, _u13580), _u13581), c_Groups_Otimes__class_Otimes(_u13580)), _u13583))), _u13584)), hAPP(hAPP(c_Product__Type_OSigma(_u13581, _u13582), _u13585), hAPP(c_COMBK(tc_fun(_u13582, tc_HOL_Obool), _u13581), _u13586))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13580), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13581, _u13580), _u13583), _u13585)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13582, _u13580), _u13584), _u13586)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13580, _u13580), c_Fun_Oid(_u13580)), hAPP(c_Set_OCollect(_u13580), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_HOL_Obool), tc_HOL_Obool, _u13580), c_HOL_OEx(_u13581)), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_HOL_Obool), _u13580), hAPP(c_COMBB(tc_fun(_u13582, tc_HOL_Obool), tc_HOL_Obool, _u13581), c_HOL_OEx(_u13582))), hAPP(hAPP(c_COMBC(_u13580, tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool))), tc_fun(tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), _u13580), c_COMBS(_u13581, tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13581, tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool))), _u13580), hAPP(c_COMBB(tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool)), _u13581), c_COMBS(_u13582, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13580), hAPP(c_COMBB(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13581), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13582), c_fconj))), hAPP(hAPP(c_COMBC(_u13580, tc_fun(_u13581, tc_fun(_u13582, _u13580)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, tc_HOL_Obool)), tc_fun(tc_fun(_u13581, tc_fun(_u13582, _u13580)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), _u13580), c_COMBB(tc_fun(_u13582, _u13580), tc_fun(_u13582, tc_HOL_Obool), _u13581)), hAPP(hAPP(c_COMBB(tc_fun(_u13580, tc_HOL_Obool), tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, tc_HOL_Obool)), _u13580), c_COMBB(_u13580, tc_HOL_Obool, _u13582)), c_fequal))), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), hAPP(hAPP(c_COMBB(tc_fun(_u13580, _u13580), tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), _u13581), c_COMBB(_u13580, _u13580, _u13582)), hAPP(hAPP(c_COMBB(_u13580, tc_fun(_u13580, _u13580), _u13581), c_Groups_Otimes__class_Otimes(_u13580)), _u13583))), _u13584)))))), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool)), _u13581), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13582)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13581), c_fconj), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13581, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13581)), _u13585)))), hAPP(hAPP(c_COMBC(_u13582, tc_fun(_u13582, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13582)), _u13586)))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u13588, tc_prod(_u13589, _u13588), skolem340(_u13591, _u13590, _u13589, _u13588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13589, tc_fun(_u13588, tc_HOL_Obool)), _u13590), _u13591)) )).
% 12.28/12.49 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13589, _u13588), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13588, tc_prod(_u13589, _u13588), skolem340(_u13591, _u13590, _u13589, _u13588)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13589, tc_fun(_u13588, tc_HOL_Obool)), _u13590), _u13591))), hAPP(hAPP(c_Product__Type_OSigma(_u13589, _u13588), _u13590), _u13591))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13594), _u13595)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, _u13594, c_Groups_Otimes__class_Otimes(_u13593)), hAPP(hAPP(c_COMBS(_u13594, tc_fun(_u13596, tc_HOL_Obool), _u13593), hAPP(hAPP(c_COMBC(_u13594, _u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), hAPP(hAPP(c_COMBB(tc_fun(_u13596, _u13593), tc_fun(_u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), _u13594), c_Finite__Set_Ofold__image(_u13593, _u13596, c_Groups_Otimes__class_Otimes(_u13593))), _u13598)), c_Groups_Oone__class_Oone(_u13593))), _u13597)), c_Groups_Oone__class_Oone(_u13593)), _u13595) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, tc_prod(_u13594, _u13596), c_Groups_Otimes__class_Otimes(_u13593)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13594, _u13596, _u13593), _u13598)), c_Groups_Oone__class_Oone(_u13593)), hAPP(hAPP(c_Product__Type_OSigma(_u13594, _u13596), _u13595), _u13597))) | hBOOL(hAPP(hAPP(c_member(_u13594), skolem341(_u13598, _u13597, _u13596, _u13595, _u13594, _u13593)), _u13595)) )).
% 12.28/12.49 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13594), _u13595)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, _u13594, c_Groups_Otimes__class_Otimes(_u13593)), hAPP(hAPP(c_COMBS(_u13594, tc_fun(_u13596, tc_HOL_Obool), _u13593), hAPP(hAPP(c_COMBC(_u13594, _u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), hAPP(hAPP(c_COMBB(tc_fun(_u13596, _u13593), tc_fun(_u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), _u13594), c_Finite__Set_Ofold__image(_u13593, _u13596, c_Groups_Otimes__class_Otimes(_u13593))), _u13598)), c_Groups_Oone__class_Oone(_u13593))), _u13597)), c_Groups_Oone__class_Oone(_u13593)), _u13595) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, tc_prod(_u13594, _u13596), c_Groups_Otimes__class_Otimes(_u13593)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13594, _u13596, _u13593), _u13598)), c_Groups_Oone__class_Oone(_u13593)), hAPP(hAPP(c_Product__Type_OSigma(_u13594, _u13596), _u13595), _u13597))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13596), hAPP(_u13597, skolem341(_u13598, _u13597, _u13596, _u13595, _u13594, _u13593)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u13599, _u13599, c_Fun_Oid(_u13599), _u13600, _u13600) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_image__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13601, _u13601, c_Fun_Oid(_u13601)), _u13602) = _u13602) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u13603, _u13603, _u13604, c_Fun_Oid(_u13603)) = c_Fun_Oid(tc_prod(_u13604, _u13603))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_id__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u13605), _u13606) = _u13606) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u13607), _u13608) = _u13608) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13609, _u13609, c_Fun_Oid(_u13609)), _u13610) = _u13610) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_bij__betw__id__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_bij__betw__id__iff-1, axiom, ( ( _u13616 = _u13618) | ~c_Fun_Obij__betw(_u13614, _u13614, c_Fun_Oid(_u13614), _u13616, _u13618) )).
% 12.28/12.49 cnf(fact_bij__betw__id__iff-2, axiom, ( ( _u13617 != _u13619) | c_Fun_Obij__betw(_u13615, _u13615, c_Fun_Oid(_u13615), _u13617, _u13619) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u13620, _u13620, c_Fun_Oid(_u13620), _u13621) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_o__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13622, _u13623, _u13622, _u13624), c_Fun_Oid(_u13622)) = _u13624) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_id__o ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13625, _u13625, _u13626, c_Fun_Oid(_u13625)), _u13627) = _u13627) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13631, hAPP(_u13632, _u13634)) = hAPP(_u13633, _u13634)) | ( hAPP(c_Fun_Ocomp(_u13628, _u13629, _u13630, _u13631), _u13632) != hAPP(c_Fun_Ocomp(_u13629, _u13629, _u13630, c_Fun_Oid(_u13629)), _u13633)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u13635, _u13635, _u13636, c_Fun_Oid(_u13635)) = c_Fun_Oid(tc_prod(_u13635, _u13636))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u13637, _u13637, c_Fun_Oid(_u13637)), c_Orderings_Otop__class_Otop(tc_fun(_u13637, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13637, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_bij__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_bij__id-1, axiom, ( c_Fun_Obij__betw(_u13638, _u13638, c_Fun_Oid(_u13638), c_Orderings_Otop__class_Otop(tc_fun(_u13638, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u13638, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13639, _u13640, _u13641, _u13642) | ( hAPP(_u13642, c_Orderings_Obot__class_Obot(tc_fun(_u13639, tc_HOL_Obool))) = c_Fun_Oid(_u13640)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13643, _u13644, tc_prod(_u13643, _u13644)), c_Product__Type_OPair(_u13643, _u13644)) = c_Fun_Oid(tc_prod(_u13643, _u13644))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13645) | ~c_Fun_Oinj__on(_u13646, _u13645, _u13647, _u13648) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13646, _u13645), _u13647), _u13648) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13645, _u13645), c_Fun_Oid(_u13645)), hAPP(c_Set_Oimage(_u13646, _u13645, _u13647), _u13648))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13649) | ~c_Fun_Oinj__on(_u13650, _u13649, _u13651, _u13652) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13650, _u13649), _u13651), _u13652) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13649, _u13649), c_Fun_Oid(_u13649)), hAPP(c_Set_Oimage(_u13650, _u13649, _u13651), _u13652))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13655), _u13656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13655, _u13654), hAPP(hAPP(c_COMBS(_u13655, tc_fun(_u13657, tc_HOL_Obool), _u13654), hAPP(hAPP(c_COMBB(tc_fun(_u13657, _u13654), tc_fun(tc_fun(_u13657, tc_HOL_Obool), _u13654), _u13655), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13657, _u13654)), _u13659)), _u13658)), _u13656) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13655, _u13657), _u13654), hAPP(c_Product__Type_Oprod_Oprod__case(_u13655, _u13657, _u13654), _u13659)), hAPP(hAPP(c_Product__Type_OSigma(_u13655, _u13657), _u13656), _u13658))) | hBOOL(hAPP(hAPP(c_member(_u13655), skolem342(_u13659, _u13658, _u13657, _u13656, _u13655, _u13654)), _u13656)) )).
% 12.28/12.49 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13655), _u13656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13655, _u13654), hAPP(hAPP(c_COMBS(_u13655, tc_fun(_u13657, tc_HOL_Obool), _u13654), hAPP(hAPP(c_COMBB(tc_fun(_u13657, _u13654), tc_fun(tc_fun(_u13657, tc_HOL_Obool), _u13654), _u13655), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13657, _u13654)), _u13659)), _u13658)), _u13656) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13655, _u13657), _u13654), hAPP(c_Product__Type_Oprod_Oprod__case(_u13655, _u13657, _u13654), _u13659)), hAPP(hAPP(c_Product__Type_OSigma(_u13655, _u13657), _u13656), _u13658))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13657), hAPP(_u13658, skolem342(_u13659, _u13658, _u13657, _u13656, _u13655, _u13654)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13662), _u13663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13662, _u13661), hAPP(hAPP(c_COMBS(_u13662, tc_fun(_u13664, tc_HOL_Obool), _u13661), hAPP(hAPP(c_COMBB(tc_fun(_u13664, _u13661), tc_fun(tc_fun(_u13664, tc_HOL_Obool), _u13661), _u13662), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13664, _u13661)), _u13666)), _u13665)), _u13663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13662, _u13664), _u13661), hAPP(c_Product__Type_Oprod_Oprod__case(_u13662, _u13664, _u13661), _u13666)), hAPP(hAPP(c_Product__Type_OSigma(_u13662, _u13664), _u13663), _u13665))) | hBOOL(hAPP(hAPP(c_member(_u13662), skolem343(_u13666, _u13665, _u13664, _u13663, _u13662, _u13661)), _u13663)) )).
% 12.28/12.49 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13662), _u13663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13662, _u13661), hAPP(hAPP(c_COMBS(_u13662, tc_fun(_u13664, tc_HOL_Obool), _u13661), hAPP(hAPP(c_COMBB(tc_fun(_u13664, _u13661), tc_fun(tc_fun(_u13664, tc_HOL_Obool), _u13661), _u13662), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13664, _u13661)), _u13666)), _u13665)), _u13663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13662, _u13664), _u13661), hAPP(c_Product__Type_Oprod_Oprod__case(_u13662, _u13664, _u13661), _u13666)), hAPP(hAPP(c_Product__Type_OSigma(_u13662, _u13664), _u13663), _u13665))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13664), hAPP(_u13665, skolem343(_u13666, _u13665, _u13664, _u13663, _u13662, _u13661)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13668), _u13669)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13668, _u13670)), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13670), _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13670, tc_HOL_Obool), tc_Nat_Onat, _u13668), c_Finite__Set_Ocard(_u13670)), _u13671)), _u13669)) | hBOOL(hAPP(hAPP(c_member(_u13668), skolem344(_u13671, _u13670, _u13669, _u13668)), _u13669)) )).
% 12.28/12.49 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13668), _u13669)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13668, _u13670)), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13670), _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13670, tc_HOL_Obool), tc_Nat_Onat, _u13668), c_Finite__Set_Ocard(_u13670)), _u13671)), _u13669)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13670), hAPP(_u13671, skolem344(_u13671, _u13670, _u13669, _u13668)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13673), _u13674)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13673, _u13675)), hAPP(hAPP(c_Product__Type_OSigma(_u13673, _u13675), _u13674), _u13676))) | hBOOL(hAPP(hAPP(c_member(_u13673), skolem345(_u13676, _u13675, _u13674, _u13673)), _u13674)) )).
% 12.28/12.49 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13673), _u13674)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13673, _u13675)), hAPP(hAPP(c_Product__Type_OSigma(_u13673, _u13675), _u13674), _u13676))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13675), hAPP(_u13676, skolem345(_u13676, _u13675, _u13674, _u13673)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13679, _u13680)), _u13681), hAPP(hAPP(c_Product__Type_OSigma(_u13679, _u13680), _u13682), _u13683))) | hBOOL(hAPP(hAPP(c_member(_u13679), skolem346(_u13683, _u13682, _u13681, _u13680, _u13679)), _u13682)) )).
% 12.28/12.49 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13679, _u13680)), _u13681), hAPP(hAPP(c_Product__Type_OSigma(_u13679, _u13680), _u13682), _u13683))) | hBOOL(hAPP(hAPP(c_member(_u13680), skolem347(_u13683, _u13682, _u13681, _u13680, _u13679)), hAPP(_u13683, skolem346(_u13683, _u13682, _u13681, _u13680, _u13679)))) )).
% 12.28/12.49 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13679, _u13680)), _u13681), hAPP(hAPP(c_Product__Type_OSigma(_u13679, _u13680), _u13682), _u13683))) | ( _u13681 = hAPP(hAPP(c_Product__Type_OPair(_u13679, _u13680), skolem346(_u13683, _u13682, _u13681, _u13680, _u13679)), skolem347(_u13683, _u13682, _u13681, _u13680, _u13679))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13684, _u13685, _u13686), c_Orderings_Otop__class_Otop(tc_fun(_u13684, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13685, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13687, _u13688, _u13689), c_Orderings_Otop__class_Otop(tc_fun(_u13687, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13688, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13684, _u13687), tc_prod(_u13685, _u13688), c_Product__Type_Omap__pair(_u13684, _u13685, _u13687, _u13688, _u13686, _u13689)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13684, _u13687), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13685, _u13688), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13690, _u13691)), hAPP(hAPP(c_Product__Type_OPair(_u13690, _u13691), _u13692), _u13693)), _u13694)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13695, _u13696)), hAPP(hAPP(c_Product__Type_OPair(_u13695, _u13696), hAPP(_u13697, _u13692)), hAPP(_u13698, _u13693))), hAPP(c_Set_Oimage(tc_prod(_u13690, _u13691), tc_prod(_u13695, _u13696), c_Product__Type_Omap__pair(_u13690, _u13695, _u13691, _u13696, _u13697, _u13698)), _u13694))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13699, _u13700, _u13701, _u13702, _u13703, _u13704), hAPP(hAPP(c_Product__Type_OPair(_u13699, _u13701), _u13705), _u13706)) = hAPP(hAPP(c_Product__Type_OPair(_u13700, _u13702), hAPP(_u13703, _u13705)), hAPP(_u13704, _u13706))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13707, _u13707, _u13708, _u13708, c_COMBI(_u13707), c_COMBI(_u13708)), _u13709) = _u13709) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u13710, _u13711), hAPP(c_Product__Type_Omap__pair(_u13712, _u13710, _u13713, _u13711, _u13714, _u13715), _u13716)) = hAPP(_u13715, hAPP(c_Product__Type_Osnd(_u13712, _u13713), _u13716))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u13717, _u13718), hAPP(c_Product__Type_Omap__pair(_u13719, _u13717, _u13720, _u13718, _u13721, _u13722), _u13723)) = hAPP(_u13721, hAPP(c_Product__Type_Ofst(_u13719, _u13720), _u13723))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13724, _u13725), _u13724, tc_prod(_u13726, _u13727), c_Product__Type_Ofst(_u13724, _u13725)), c_Product__Type_Omap__pair(_u13726, _u13724, _u13727, _u13725, _u13728, _u13729)) = hAPP(c_Fun_Ocomp(_u13726, _u13724, tc_prod(_u13726, _u13727), _u13728), c_Product__Type_Ofst(_u13726, _u13727))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13730, _u13731), _u13731, tc_prod(_u13732, _u13733), c_Product__Type_Osnd(_u13730, _u13731)), c_Product__Type_Omap__pair(_u13732, _u13730, _u13733, _u13731, _u13734, _u13735)) = hAPP(c_Fun_Ocomp(_u13733, _u13731, tc_prod(_u13732, _u13733), _u13735), c_Product__Type_Osnd(_u13732, _u13733))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13736, _u13737), tc_prod(_u13738, _u13739), tc_prod(_u13740, _u13741), c_Product__Type_Omap__pair(_u13736, _u13738, _u13737, _u13739, _u13742, _u13743)), c_Product__Type_Omap__pair(_u13740, _u13736, _u13741, _u13737, _u13744, _u13745)) = c_Product__Type_Omap__pair(_u13740, _u13738, _u13741, _u13739, hAPP(c_Fun_Ocomp(_u13736, _u13738, _u13740, _u13742), _u13744), hAPP(c_Fun_Ocomp(_u13737, _u13739, _u13741, _u13743), _u13745))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13746, _u13747, _u13748, _u13749, hAPP(c_Fun_Ocomp(_u13750, _u13747, _u13746, _u13751), _u13752), hAPP(c_Fun_Ocomp(_u13753, _u13749, _u13748, _u13754), _u13755)) = hAPP(c_Fun_Ocomp(tc_prod(_u13750, _u13753), tc_prod(_u13747, _u13749), tc_prod(_u13746, _u13748), c_Product__Type_Omap__pair(_u13750, _u13747, _u13753, _u13749, _u13751, _u13754)), c_Product__Type_Omap__pair(_u13746, _u13750, _u13748, _u13753, _u13752, _u13755))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13756, _u13757, _u13758, _u13759, _u13760, _u13761), hAPP(c_Product__Type_Omap__pair(_u13762, _u13756, _u13763, _u13758, _u13764, _u13765), _u13766)) = hAPP(c_Product__Type_Omap__pair(_u13762, _u13757, _u13763, _u13759, hAPP(c_Fun_Ocomp(_u13756, _u13757, _u13762, _u13760), _u13764), hAPP(c_Fun_Ocomp(_u13758, _u13759, _u13763, _u13761), _u13765)), _u13766)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u13767, _u13767, _u13768, _u13768, c_COMBI(_u13767), c_COMBI(_u13768)) = c_Fun_Oid(tc_prod(_u13767, _u13768))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u13769, _u13770, _u13771, _u13772) = c_Product__Type_Omap__pair(_u13771, _u13771, _u13769, _u13770, c_Fun_Oid(_u13771), _u13772)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u13773, _u13774, _u13775, _u13776) = c_Product__Type_Omap__pair(_u13773, _u13774, _u13775, _u13775, _u13776, c_Fun_Oid(_u13775))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u13777, _u13777, _u13778, _u13778, c_Fun_Oid(_u13777), c_Fun_Oid(_u13778)) = c_Fun_Oid(tc_prod(_u13777, _u13778))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u13779, _u13780, _u13781, _u13782, _u13783, _u13784) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13779, _u13781, tc_prod(_u13780, _u13782)), hAPP(hAPP(c_COMBC(_u13779, tc_fun(_u13781, _u13782), tc_fun(_u13781, tc_prod(_u13780, _u13782))), hAPP(hAPP(c_COMBB(tc_fun(_u13782, tc_prod(_u13780, _u13782)), tc_fun(tc_fun(_u13781, _u13782), tc_fun(_u13781, tc_prod(_u13780, _u13782))), _u13779), c_COMBB(_u13782, tc_prod(_u13780, _u13782), _u13781)), hAPP(hAPP(c_COMBB(_u13780, tc_fun(_u13782, tc_prod(_u13780, _u13782)), _u13779), c_Product__Type_OPair(_u13780, _u13782)), _u13783))), _u13784))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u13785, _u13786, _u13787), _u13788) != _u13789) | ( hAPP(c_Set_Oimage(_u13790, _u13791, _u13792), _u13793) != _u13794) | ( hAPP(c_Set_Oimage(tc_prod(_u13785, _u13790), tc_prod(_u13786, _u13791), c_Product__Type_Omap__pair(_u13785, _u13786, _u13790, _u13791, _u13787, _u13792)), hAPP(hAPP(c_Product__Type_OSigma(_u13785, _u13790), _u13788), hAPP(c_COMBK(tc_fun(_u13790, tc_HOL_Obool), _u13785), _u13793))) = hAPP(hAPP(c_Product__Type_OSigma(_u13786, _u13791), _u13789), hAPP(c_COMBK(tc_fun(_u13791, tc_HOL_Obool), _u13786), _u13794))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13795, _u13796) | ~c_Fun_Oinj__on(_u13795, _u13797, _u13798, c_Orderings_Otop__class_Otop(tc_fun(_u13795, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13797, hAPP(c_Set_Oimage(tc_prod(_u13795, _u13795), tc_prod(_u13797, _u13797), c_Product__Type_Omap__pair(_u13795, _u13797, _u13795, _u13797, _u13798, _u13798)), _u13796)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13799, _u13800, _u13801, _u13802) | ~c_Fun_Oinj__on(_u13803, _u13804, _u13805, _u13806) | c_Fun_Oinj__on(tc_prod(_u13799, _u13803), tc_prod(_u13800, _u13804), c_Product__Type_Omap__pair(_u13799, _u13800, _u13803, _u13804, _u13801, _u13805), hAPP(hAPP(c_Product__Type_OSigma(_u13799, _u13803), _u13802), hAPP(c_COMBK(tc_fun(_u13803, tc_HOL_Obool), _u13799), _u13806))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13809, _u13810)), _u13811), hAPP(c_Set_Oimage(tc_prod(_u13812, _u13813), tc_prod(_u13809, _u13810), c_Product__Type_Omap__pair(_u13812, _u13809, _u13813, _u13810, _u13814, _u13815)), _u13816))) | ( _u13811 = hAPP(hAPP(c_Product__Type_OPair(_u13809, _u13810), hAPP(_u13814, skolem348(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809))), hAPP(_u13815, skolem349(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809)))) )).
% 12.28/12.49 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13809, _u13810)), _u13811), hAPP(c_Set_Oimage(tc_prod(_u13812, _u13813), tc_prod(_u13809, _u13810), c_Product__Type_Omap__pair(_u13812, _u13809, _u13813, _u13810, _u13814, _u13815)), _u13816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13813)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13813), skolem348(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809)), skolem349(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809))), _u13816)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u13822, _u13824, _u13826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13822, _u13822), tc_HOL_Obool)), _u13826), hAPP(hAPP(c_Product__Type_OSigma(_u13822, _u13822), _u13824), hAPP(c_COMBK(tc_fun(_u13822, tc_HOL_Obool), _u13822), _u13824)))) )).
% 12.28/12.49 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u13822, _u13824, _u13826) | ~hBOOL(hAPP(hAPP(c_member(_u13822), _u13817), _u13824)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13817), _u13817)), _u13826)) )).
% 12.28/12.49 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u13823, _u13825, _u13827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13823, _u13823), tc_HOL_Obool)), _u13827), hAPP(hAPP(c_Product__Type_OSigma(_u13823, _u13823), _u13825), hAPP(c_COMBK(tc_fun(_u13823, tc_HOL_Obool), _u13823), _u13825)))) | hBOOL(hAPP(hAPP(c_member(_u13823), skolem350(_u13827, _u13825, _u13823)), _u13825)) )).
% 12.28/12.49 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u13823, _u13825, _u13827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13823, _u13823), tc_HOL_Obool)), _u13827), hAPP(hAPP(c_Product__Type_OSigma(_u13823, _u13823), _u13825), hAPP(c_COMBK(tc_fun(_u13823, tc_HOL_Obool), _u13823), _u13825)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13823, _u13823)), hAPP(hAPP(c_Product__Type_OPair(_u13823, _u13823), skolem350(_u13827, _u13825, _u13823)), skolem350(_u13827, _u13825, _u13823))), _u13827)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u13830, _u13832) | c_Wellfounded_Owf(_u13830, hAPP(c_Set_OCollect(tc_prod(_u13830, _u13830)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13830, _u13830, tc_HOL_Obool), _u13832))) )).
% 12.28/12.49 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u13831, hAPP(c_Set_OCollect(tc_prod(_u13831, _u13831)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13831, _u13831, tc_HOL_Obool), _u13833))) | c_Wellfounded_OwfP(_u13831, _u13833) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u13834, hAPP(c_COMBK(tc_fun(_u13834, tc_HOL_Obool), _u13834), hAPP(c_COMBK(tc_HOL_Obool, _u13834), c_fFalse))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u13835, _u13836, c_Relation_OId__on(_u13835, _u13836)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u13837, _u13838) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13837, _u13838), _u13839)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u13844, _u13846) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13844, _u13846), _u13840)) )).
% 12.28/12.49 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13845, _u13847), skolem351(_u13847, _u13845))) | c_Wellfounded_OwfP(_u13845, _u13847) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u13848, _u13849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13848, tc_fun(_u13848, tc_HOL_Obool))), _u13850), _u13849)) | c_Wellfounded_OwfP(_u13848, _u13850) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u13851, c_Orderings_Obot__class_Obot(tc_fun(_u13851, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13851, _u13851), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u13852, _u13853, _u13854) | ~c_Relation_Orefl__on(_u13852, _u13855, _u13856) | c_Relation_Orefl__on(_u13852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13852, tc_HOL_Obool)), _u13853), _u13855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13852, _u13852), tc_HOL_Obool)), _u13854), _u13856)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u13857, _u13858, _u13859) | ~c_Relation_Orefl__on(_u13857, _u13860, _u13861) | c_Relation_Orefl__on(_u13857, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13857, tc_HOL_Obool)), _u13858), _u13860), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13857, _u13857), tc_HOL_Obool)), _u13859), _u13861)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u13862, _u13863, _u13864) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13862, _u13862)), hAPP(hAPP(c_Product__Type_OPair(_u13862, _u13862), _u13865), _u13866)), _u13864)) | hBOOL(hAPP(hAPP(c_member(_u13862), _u13866), _u13863)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u13867, _u13868, _u13869) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13870), _u13871)), _u13869)) | hBOOL(hAPP(hAPP(c_member(_u13867), _u13870), _u13868)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u13872, _u13873, _u13874) | ~hBOOL(hAPP(hAPP(c_member(_u13872), _u13875), _u13873)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13872, _u13872)), hAPP(hAPP(c_Product__Type_OPair(_u13872, _u13872), _u13875), _u13875)), _u13874)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u13876, _u13877) | c_Wellfounded_OwfP(_u13876, c_FunDef_Oin__rel(_u13876, _u13876, _u13877)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u13880, hAPP(hAPP(c_COMBC(_u13880, tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_fun(_u13880, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13880, tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_fun(_u13880, tc_HOL_Obool)), _u13880), c_COMBC(_u13880, tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13880, tc_prod(_u13880, _u13880)), tc_fun(_u13880, tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool)), _u13880), hAPP(c_COMBB(tc_prod(_u13880, _u13880), tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool), _u13880), c_member(tc_prod(_u13880, _u13880)))), c_Product__Type_OPair(_u13880, _u13880)))), _u13882)) | c_Wellfounded_Owf(_u13880, _u13882) )).
% 12.28/12.49 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u13881, _u13883) | c_Wellfounded_OwfP(_u13881, hAPP(hAPP(c_COMBC(_u13881, tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_fun(_u13881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13881, tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_fun(_u13881, tc_HOL_Obool)), _u13881), c_COMBC(_u13881, tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13881, tc_prod(_u13881, _u13881)), tc_fun(_u13881, tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool)), _u13881), hAPP(c_COMBB(tc_prod(_u13881, _u13881), tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool), _u13881), c_member(tc_prod(_u13881, _u13881)))), c_Product__Type_OPair(_u13881, _u13881)))), _u13883)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u13886, _u13888) | c_Relation_Orefl__on(_u13886, c_Orderings_Otop__class_Otop(tc_fun(_u13886, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13886, _u13886)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13886, _u13886, tc_HOL_Obool), _u13888))) )).
% 12.28/12.49 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u13887, c_Orderings_Otop__class_Otop(tc_fun(_u13887, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13887, _u13887)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13887, _u13887, tc_HOL_Obool), _u13889))) | c_Predicate_Oreflp(_u13887, _u13889) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13891, _u13891), tc_HOL_Obool)), _u13892), hAPP(hAPP(c_Product__Type_OSigma(_u13891, _u13891), _u13893), hAPP(c_COMBK(tc_fun(_u13891, tc_HOL_Obool), _u13891), _u13893)))) | c_Relation_Orefl__on(_u13891, _u13893, _u13892) | hBOOL(hAPP(hAPP(c_member(_u13891), skolem352(_u13893, _u13892, _u13891)), _u13893)) )).
% 12.28/12.49 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13891, _u13891), tc_HOL_Obool)), _u13892), hAPP(hAPP(c_Product__Type_OSigma(_u13891, _u13891), _u13893), hAPP(c_COMBK(tc_fun(_u13891, tc_HOL_Obool), _u13891), _u13893)))) | c_Relation_Orefl__on(_u13891, _u13893, _u13892) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13891, _u13891)), hAPP(hAPP(c_Product__Type_OPair(_u13891, _u13891), skolem352(_u13893, _u13892, _u13891)), skolem352(_u13893, _u13892, _u13891))), _u13892)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u13894, _u13895) | c_Wellfounded_Oacyclic(_u13894, hAPP(c_Set_OCollect(tc_prod(_u13894, _u13894)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13894, _u13894, tc_HOL_Obool), _u13895))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u13897, _u13898), _u13898)) | ~c_Predicate_Oreflp(_u13896, _u13897) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13899, _u13900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13899, _u13899), tc_HOL_Obool)), _u13901), _u13900)) | c_Wellfounded_Oacyclic(_u13899, _u13901) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u13902, _u13903) | c_Wellfounded_Oacyclic(_u13902, _u13903) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13904, _u13904)), _u13905)) | ~c_Wellfounded_Owf(_u13904, _u13905) | c_Wellfounded_Oacyclic(_u13904, _u13905) )).
% 12.28/12.49 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13904, _u13904)), _u13905)) | ~c_Wellfounded_Oacyclic(_u13904, _u13905) | c_Wellfounded_Owf(_u13904, _u13905) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13906, _u13906)), _u13907)) | ~c_Wellfounded_Oacyclic(_u13906, _u13907) | c_Wellfounded_Owf(_u13906, _u13907) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u13910, _u13912) | c_Wellfounded_Oacyclic(_u13910, _u13912) )).
% 12.28/12.49 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u13910, _u13912) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13910, _u13910)), _u13912)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.28/12.49 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u13911, _u13913) | ~c_Wellfounded_Oacyclic(_u13911, _u13913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13911, _u13911)), _u13913)) )).
% 12.28/12.49 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u13911, _u13913) | ~c_Wellfounded_Oacyclic(_u13911, _u13913) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 12.28/12.49 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)), _u13915), c_Int_OInteg)) | ~hBOOL(hAPP(_u13916, hAPP(c_Int_ORep__Integ, skolem353(_u13916, _u13915)))) | hBOOL(hAPP(_u13916, _u13915)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 12.28/12.49 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)), _u13918), c_Int_OInteg)) | ( _u13918 = hAPP(c_Int_ORep__Integ, skolem354(_u13918))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u13926, _u13928, _u13930) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13926, _u13926)), _u13919), _u13930)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13926, _u13926, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13926, tc_fun(_u13926, tc_HOL_Obool), tc_fun(_u13926, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13926, tc_HOL_Obool), tc_fun(_u13926, tc_HOL_Obool)), _u13926), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13926)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13926), c_fconj), hAPP(hAPP(c_COMBC(_u13926, tc_fun(_u13926, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13926)), _u13928)))), hAPP(hAPP(c_COMBC(_u13926, tc_fun(_u13926, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13926)), _u13928))), _u13919)) )).
% 12.28/12.49 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u13926, _u13928, _u13930) | ~hBOOL(hAPP(hAPP(c_member(_u13926), _u13920), _u13928)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13926, _u13926)), hAPP(hAPP(c_Product__Type_OPair(_u13926, _u13926), _u13920), _u13920)), _u13930)) )).
% 12.28/12.49 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), skolem355(_u13931, _u13929, _u13927)), _u13931)) | hBOOL(hAPP(hAPP(c_member(_u13927), skolem356(_u13931, _u13929, _u13927)), _u13929)) )).
% 12.28/12.49 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), skolem355(_u13931, _u13929, _u13927)), _u13931)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), hAPP(hAPP(c_Product__Type_OPair(_u13927, _u13927), skolem356(_u13931, _u13929, _u13927)), skolem356(_u13931, _u13929, _u13927))), _u13931)) )).
% 12.28/12.49 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13927, _u13927, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), _u13927), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13927)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13927), c_fconj), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929)))), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929))), skolem355(_u13931, _u13929, _u13927))) | hBOOL(hAPP(hAPP(c_member(_u13927), skolem356(_u13931, _u13929, _u13927)), _u13929)) )).
% 12.28/12.49 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13927, _u13927, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), _u13927), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13927)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13927), c_fconj), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929)))), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929))), skolem355(_u13931, _u13929, _u13927))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), hAPP(hAPP(c_Product__Type_OPair(_u13927, _u13927), skolem356(_u13931, _u13929, _u13927)), skolem356(_u13931, _u13929, _u13927))), _u13931)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13933, _u13934)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem357(_u13934, _u13933)), c_Int_OInteg)) )).
% 12.28/12.49 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13933, _u13934)) | ~hBOOL(hAPP(_u13933, hAPP(c_Int_OAbs__Integ, skolem357(_u13934, _u13933)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13936 = hAPP(c_Int_OAbs__Integ, skolem358(_u13936))) )).
% 12.28/12.49 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)), skolem358(_u13936)), c_Int_OInteg)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13942, _u13944), _u13946)) | ~hBOOL(hAPP(hAPP(c_member(_u13942), _u13937), _u13946)) | hBOOL(hAPP(_u13944, _u13937)) )).
% 12.28/12.49 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13943, _u13945), _u13947)) | hBOOL(hAPP(hAPP(c_member(_u13943), skolem359(_u13947, _u13945, _u13943)), _u13947)) )).
% 12.28/12.49 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13943, _u13945), _u13947)) | ~hBOOL(hAPP(_u13945, skolem359(_u13947, _u13945, _u13943))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13948, tc_HOL_Obool) = c_Set_OBall(_u13948)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13950), _u13949), c_Orderings_Obot__class_Obot(tc_fun(_u13950, tc_HOL_Obool)))) | hBOOL(hAPP(_u13951, _u13949)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13952), hAPP(hAPP(c_COMBB(tc_fun(_u13953, tc_HOL_Obool), tc_HOL_Obool, _u13952), c_HOL_OAll(_u13953)), hAPP(hAPP(c_COMBB(tc_fun(_u13953, tc_HOL_Obool), tc_fun(_u13953, tc_HOL_Obool), _u13952), hAPP(c_COMBS(_u13953, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13953), c_fimplies), hAPP(hAPP(c_COMBC(_u13953, tc_fun(_u13953, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13953)), _u13954)))), _u13955))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13953, tc_fun(_u13952, tc_HOL_Obool)), _u13954), hAPP(hAPP(c_COMBB(tc_fun(_u13952, tc_HOL_Obool), tc_fun(_u13952, tc_HOL_Obool), _u13953), c_Set_OCollect(_u13952)), hAPP(c_COMBC(_u13952, _u13953, tc_HOL_Obool), _u13955)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13962, _u13964, _u13966, _u13968) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13962, _u13962)), _u13956), _u13966)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13962, _u13962, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13962, tc_fun(_u13962, _u13964), tc_fun(_u13962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13964, tc_HOL_Obool), tc_fun(tc_fun(_u13962, _u13964), tc_fun(_u13962, tc_HOL_Obool)), _u13962), c_COMBB(_u13964, tc_HOL_Obool, _u13962)), hAPP(hAPP(c_COMBB(_u13964, tc_fun(_u13964, tc_HOL_Obool), _u13962), c_fequal), _u13968))), _u13968)), _u13956)) )).
% 12.28/12.49 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13963, _u13965, _u13967, _u13969) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13963, _u13963)), skolem360(_u13969, _u13967, _u13965, _u13963)), _u13967)) )).
% 12.28/12.49 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13963, _u13965, _u13967, _u13969) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13963, _u13963, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13963, tc_fun(_u13963, _u13965), tc_fun(_u13963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13965, tc_HOL_Obool), tc_fun(tc_fun(_u13963, _u13965), tc_fun(_u13963, tc_HOL_Obool)), _u13963), c_COMBB(_u13965, tc_HOL_Obool, _u13963)), hAPP(hAPP(c_COMBB(_u13965, tc_fun(_u13965, tc_HOL_Obool), _u13963), c_fequal), _u13969))), _u13969)), skolem360(_u13969, _u13967, _u13965, _u13963))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13970, tc_fun(_u13971, tc_HOL_Obool)), _u13972), _u13973) = hAPP(c_Set_OCollect(_u13971), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_HOL_Obool), tc_HOL_Obool, _u13971), c_HOL_OAll(_u13970)), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_HOL_Obool), tc_fun(_u13970, tc_HOL_Obool), _u13971), hAPP(c_COMBS(_u13970, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13970), c_fimplies), hAPP(hAPP(c_COMBC(_u13970, tc_fun(_u13970, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13970)), _u13972)))), hAPP(hAPP(c_COMBC(_u13971, tc_fun(_u13970, tc_fun(_u13971, tc_HOL_Obool)), tc_fun(_u13970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13971, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13970, tc_fun(_u13971, tc_HOL_Obool)), tc_fun(_u13970, tc_HOL_Obool)), _u13971), c_COMBB(tc_fun(_u13971, tc_HOL_Obool), tc_HOL_Obool, _u13970)), c_member(_u13971))), _u13973))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13974) | ( c_Complete__Lattice_OInf__class_OInf(_u13974, _u13975) = c_Complete__Lattice_OSup__class_OSup(_u13974, hAPP(c_Set_OCollect(_u13974), hAPP(hAPP(c_COMBB(tc_fun(_u13974, tc_HOL_Obool), tc_HOL_Obool, _u13974), c_HOL_OAll(_u13974)), hAPP(hAPP(c_COMBB(tc_fun(_u13974, tc_HOL_Obool), tc_fun(_u13974, tc_HOL_Obool), _u13974), hAPP(c_COMBS(_u13974, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13974), c_fimplies), hAPP(hAPP(c_COMBC(_u13974, tc_fun(_u13974, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13974)), _u13975)))), c_Orderings_Oord__class_Oless__eq(_u13974)))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13976) | ( c_Complete__Lattice_OSup__class_OSup(_u13976, _u13977) = c_Complete__Lattice_OInf__class_OInf(_u13976, hAPP(c_Set_OCollect(_u13976), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_HOL_Obool), tc_HOL_Obool, _u13976), c_HOL_OAll(_u13976)), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_HOL_Obool), tc_fun(_u13976, tc_HOL_Obool), _u13976), hAPP(c_COMBS(_u13976, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13976), c_fimplies), hAPP(hAPP(c_COMBC(_u13976, tc_fun(_u13976, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13976)), _u13977)))), hAPP(c_COMBC(_u13976, _u13976, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13976))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13981, hAPP(_u13982, skolem361(_u13983, _u13982, _u13981))) | c_Wellfounded_OwfP(_u13981, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13983, tc_fun(_u13981, tc_fun(_u13981, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13983, tc_HOL_Obool))), _u13982)) | ( hAPP(_u13982, skolem362(_u13983, _u13982, _u13981)) != hAPP(_u13982, skolem363(_u13983, _u13982, _u13981))) )).
% 12.28/12.49 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13981, hAPP(_u13982, skolem361(_u13983, _u13982, _u13981))) | c_Wellfounded_OwfP(_u13981, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13983, tc_fun(_u13981, tc_fun(_u13981, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13983, tc_HOL_Obool))), _u13982)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13981, tc_HOL_Obool)), c_Predicate_ODomainP(_u13981, _u13981, hAPP(_u13982, skolem362(_u13983, _u13982, _u13981)))), c_Predicate_ORangeP(_u13981, _u13981, hAPP(_u13982, skolem363(_u13983, _u13982, _u13981)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13981, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13986), _u13987), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13988, _u13989, tc_fun(_u13986, tc_HOL_Obool)), _u13990), _u13991))) | ( _u13991 = hAPP(hAPP(c_Product__Type_OPair(_u13988, _u13989), skolem364(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986)), skolem365(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986))) )).
% 12.28/12.49 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13986), _u13987), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13988, _u13989, tc_fun(_u13986, tc_HOL_Obool)), _u13990), _u13991))) | hBOOL(hAPP(hAPP(c_member(_u13986), _u13987), hAPP(hAPP(_u13990, skolem364(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986)), skolem365(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13997), _u13998), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13995, _u13996, tc_fun(_u13997, tc_HOL_Obool)), _u13999), _u13994))) | ( _u13994 = hAPP(hAPP(c_Product__Type_OPair(_u13995, _u13996), skolem366(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994)), skolem367(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994))) )).
% 12.28/12.49 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13997), _u13998), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13995, _u13996, tc_fun(_u13997, tc_HOL_Obool)), _u13999), _u13994))) | ~hBOOL(hAPP(hAPP(c_member(_u13997), _u13998), hAPP(hAPP(_u13999, skolem366(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994)), skolem367(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14000, tc_HOL_Obool), _u14001) = hAPP(c_Set_OCollect(_u14000), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u14000), c_HOL_OAll(tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), _u14000), hAPP(c_COMBS(tc_fun(_u14000, 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(_u14000, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u14000, tc_HOL_Obool), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u14000, tc_HOL_Obool))), _u14001)))), c_member(_u14000))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14002, _u14003), hAPP(c_Product__Type_Oprod_Oprod__case(_u14002, _u14003, tc_HOL_Obool), _u14004)) = c_Hilbert__Choice_OEps(tc_prod(_u14002, _u14003), hAPP(hAPP(c_COMBS(tc_prod(_u14002, _u14003), _u14003, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14002, tc_fun(_u14003, tc_HOL_Obool), tc_prod(_u14002, _u14003)), _u14004), c_Product__Type_Ofst(_u14002, _u14003))), c_Product__Type_Osnd(_u14002, _u14003)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u14006, _u14007) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14006, tc_HOL_Obool)), skolem368(_u14007, _u14006)), hAPP(c_Relation_OImage(_u14006, _u14006, _u14007), skolem368(_u14007, _u14006)))) )).
% 12.28/12.49 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u14006, _u14007) | ( skolem368(_u14007, _u14006) != c_Orderings_Obot__class_Obot(tc_fun(_u14006, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14009, tc_HOL_Obool)), _u14010), _u14011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14009, _u14012), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14010), _u14013)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14011), _u14014))) | hBOOL(hAPP(hAPP(c_member(_u14009), skolem369(_u14014, _u14013, _u14012, _u14011, _u14010, _u14009)), _u14010)) )).
% 12.28/12.49 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14009, tc_HOL_Obool)), _u14010), _u14011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14009, _u14012), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14010), _u14013)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14011), _u14014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14012, tc_HOL_Obool)), hAPP(_u14013, skolem369(_u14014, _u14013, _u14012, _u14011, _u14010, _u14009))), hAPP(_u14014, skolem369(_u14014, _u14013, _u14012, _u14011, _u14010, _u14009)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u14015, hAPP(c_fequal, _u14016)) = _u14016) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u14017, hAPP(hAPP(c_COMBC(_u14017, _u14017, tc_HOL_Obool), c_fequal), _u14018)) = _u14018) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u14023, c_Hilbert__Choice_OEps(_u14025, _u14023))) | hBOOL(hAPP(_u14023, skolem370(_u14025, _u14023))) )).
% 12.28/12.49 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u14024, _u14020)) | hBOOL(hAPP(_u14024, c_Hilbert__Choice_OEps(_u14026, _u14024))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u14028, _u14027)) | hBOOL(hAPP(_u14028, c_Hilbert__Choice_OEps(_u14029, _u14028))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_someI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u14030, _u14031)) | hBOOL(hAPP(_u14030, c_Hilbert__Choice_OEps(_u14032, _u14030))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u14034, _u14033)) | hBOOL(hAPP(_u14034, c_Hilbert__Choice_OEps(_u14035, _u14034))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u14037, _u14036)) | ( _u14038 != c_Hilbert__Choice_OEps(_u14039, _u14037)) | hBOOL(hAPP(_u14037, _u14038)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14040, _u14041), _u14042) = c_Hilbert__Choice_OEps(tc_prod(_u14040, _u14041), hAPP(c_Product__Type_Oprod_Oprod__case(_u14040, _u14041, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14041, tc_prod(_u14040, _u14041)), tc_fun(_u14041, tc_HOL_Obool), _u14040), hAPP(c_COMBB(tc_prod(_u14040, _u14041), tc_HOL_Obool, _u14041), _u14042)), c_Product__Type_OPair(_u14040, _u14041))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14043, _u14044), hAPP(c_Product__Type_Oprod_Oprod__case(_u14043, _u14044, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14043, tc_fun(_u14044, tc_HOL_Obool), tc_fun(_u14044, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14044, tc_HOL_Obool), tc_fun(_u14044, tc_HOL_Obool)), _u14043), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14044)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14043), c_fconj), hAPP(c_fequal, _u14045)))), hAPP(c_fequal, _u14046)))) = hAPP(hAPP(c_Product__Type_OPair(_u14043, _u14044), _u14045), _u14046)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14048), _u14049), c_Wellfounded_Oacc(_u14048, _u14050))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14048, _u14048)), hAPP(hAPP(c_Product__Type_OPair(_u14048, _u14048), skolem371(_u14050, _u14049, _u14048)), _u14049)), _u14050)) )).
% 12.28/12.49 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14048), _u14049), c_Wellfounded_Oacc(_u14048, _u14050))) | ~hBOOL(hAPP(hAPP(c_member(_u14048), skolem371(_u14050, _u14049, _u14048)), c_Wellfounded_Oacc(_u14048, _u14050))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14052), _u14053), c_Wellfounded_Oacc(_u14052, _u14054))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14052), skolem372(_u14054, _u14053, _u14052)), _u14053)), _u14054)) )).
% 12.28/12.49 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14052), _u14053), c_Wellfounded_Oacc(_u14052, _u14054))) | ~hBOOL(hAPP(hAPP(c_member(_u14052), skolem372(_u14054, _u14053, _u14052)), c_Wellfounded_Oacc(_u14052, _u14054))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14063), _u14065)) )).
% 12.28/12.49 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14063), _u14067)) )).
% 12.28/12.49 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | ( _u14067 != c_Orderings_Obot__class_Obot(tc_fun(_u14063, tc_HOL_Obool))) )).
% 12.28/12.49 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | ~hBOOL(hAPP(hAPP(c_member(_u14063), _u14056), _u14065)) | hBOOL(hAPP(hAPP(c_member(_u14063), skolem373(_u14069, _u14067, _u14065, _u14063, _u14056)), _u14067)) )).
% 12.28/12.49 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | ~hBOOL(hAPP(hAPP(c_member(_u14063), _u14056), _u14065)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14063, _u14063)), hAPP(hAPP(c_Product__Type_OPair(_u14063, _u14063), _u14056), skolem373(_u14069, _u14067, _u14065, _u14063, _u14056))), _u14069)) )).
% 12.28/12.49 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool)), _u14066), _u14068)), c_Wellfounded_Omax__ext(_u14064, _u14070))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14066)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14068)) | ( _u14068 = c_Orderings_Obot__class_Obot(tc_fun(_u14064, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14064), skolem374(_u14070, _u14068, _u14066, _u14064)), _u14066)) )).
% 12.28/12.49 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool)), _u14066), _u14068)), c_Wellfounded_Omax__ext(_u14064, _u14070))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14066)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14068)) | ( _u14068 = c_Orderings_Obot__class_Obot(tc_fun(_u14064, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14064), _u14057), _u14068)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14064, _u14064)), hAPP(hAPP(c_Product__Type_OPair(_u14064, _u14064), skolem374(_u14070, _u14068, _u14066, _u14064)), _u14057)), _u14070)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u14072, _u14073) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), hAPP(_u14074, hAPP(c_Nat_OSuc, skolem375(_u14074, _u14073, _u14072)))), hAPP(_u14074, skolem375(_u14074, _u14073, _u14072)))), _u14073)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14076) | ~c_Fun_Oinj__on(_u14077, _u14078, _u14079, _u14080) | ( _u14081 != hAPP(c_Set_Oimage(_u14077, _u14078, _u14079), _u14080)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14078, _u14076), _u14083), _u14081) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14077, _u14076), _u14082), _u14080)) | hBOOL(hAPP(hAPP(c_member(_u14077), skolem376(_u14083, _u14082, _u14081, _u14080, _u14079, _u14078, _u14077, _u14076)), _u14080)) )).
% 12.28/12.49 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14076) | ~c_Fun_Oinj__on(_u14077, _u14078, _u14079, _u14080) | ( _u14081 != hAPP(c_Set_Oimage(_u14077, _u14078, _u14079), _u14080)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14078, _u14076), _u14083), _u14081) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14077, _u14076), _u14082), _u14080)) | ( hAPP(_u14082, skolem376(_u14083, _u14082, _u14081, _u14080, _u14079, _u14078, _u14077, _u14076)) != hAPP(_u14083, hAPP(_u14079, skolem376(_u14083, _u14082, _u14081, _u14080, _u14079, _u14078, _u14077, _u14076)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14084, _u14085, _u14086, _u14087), _u14088), _u14089), _u14090) = hAPP(hAPP(_u14089, hAPP(c_Product__Type_Ofst(_u14085, _u14086), hAPP(_u14088, _u14090))), hAPP(c_Product__Type_Osnd(_u14085, _u14086), hAPP(_u14088, _u14090)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14091, _u14092, _u14093, tc_prod(_u14092, _u14093)), _u14094), c_Product__Type_OPair(_u14092, _u14093)) = _u14094) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14096, _u14095, _u14097), hAPP(c_Product__Type_OPair(_u14096, _u14095), _u14098)), _u14099) = hAPP(_u14099, _u14098)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14100, _u14101, _u14102, _u14103), hAPP(hAPP(c_Product__Type_Oscomp(_u14100, _u14104, _u14105, tc_prod(_u14101, _u14102)), _u14106), _u14107)), _u14108) = hAPP(hAPP(c_Product__Type_Oscomp(_u14100, _u14104, _u14105, _u14103), _u14106), hAPP(hAPP(c_COMBC(_u14104, tc_fun(_u14101, tc_fun(_u14102, _u14103)), tc_fun(_u14105, _u14103)), hAPP(hAPP(c_COMBB(tc_fun(_u14105, tc_prod(_u14101, _u14102)), tc_fun(tc_fun(_u14101, tc_fun(_u14102, _u14103)), tc_fun(_u14105, _u14103)), _u14104), c_Product__Type_Oscomp(_u14105, _u14101, _u14102, _u14103)), _u14107)), _u14108))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14109, _u14110, _u14111, _u14112), _u14113), _u14114), _u14115) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14110, _u14111, _u14112), _u14114), hAPP(_u14113, _u14115))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14116, _u14117, _u14118, _u14119), _u14120), _u14121), _u14122) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14117, _u14118, _u14119), _u14121), hAPP(_u14120, _u14122))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_iterate_Osimps-1, axiom, ( ( _u14128 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14130, _u14132, _u14128, _u14134), _u14136) = hAPP(c_Product__Type_OPair(_u14130, _u14132), _u14136)) )).
% 12.28/12.49 cnf(fact_iterate_Osimps-2, axiom, ( ( _u14129 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14131, _u14133, _u14129, _u14135), _u14137) = hAPP(hAPP(c_Product__Type_Oscomp(_u14133, _u14131, _u14133, tc_prod(_u14131, _u14133)), hAPP(_u14135, _u14137)), c_Random_Oiterate(_u14131, _u14133, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14129), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14135))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14139) | ~class_Orderings_Oord(_u14140) | ( _u14141 != _u14142) | ( _u14143 != _u14144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14145), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14141), _u14143)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14146), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14142), _u14144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14140), _u14142), skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139))) )).
% 12.28/12.49 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14139) | ~class_Orderings_Oord(_u14140) | ( _u14141 != _u14142) | ( _u14143 != _u14144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14145), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14141), _u14143)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14146), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14142), _u14144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14140), skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139)), _u14144)) )).
% 12.28/12.49 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u14139) | ~class_Orderings_Oord(_u14140) | ( _u14141 != _u14142) | ( _u14143 != _u14144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14145), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14141), _u14143)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14146), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14142), _u14144))) | ( hAPP(_u14145, skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139)) != hAPP(_u14146, skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u14149, _u14151) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14149), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.28/12.49 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u14149, _u14151) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14151), _u14149)) )).
% 12.28/12.49 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14150), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14152), _u14150)) | ( c_Random_Olog(_u14150, _u14152) = 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(_u14150, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u14152), _u14150)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14156), _u14158)) | ( c_Random_Ominus__shift(_u14160, _u14156, _u14158) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14160), _u14156)), _u14158)) )).
% 12.28/12.49 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14157), _u14159)) | ( c_Random_Ominus__shift(_u14161, _u14157, _u14159) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14157), _u14159)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_inc__shift__def-1, axiom, ( ( _u14164 != _u14166) | ( c_Random_Oinc__shift(_u14164, _u14166) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.28/12.49 cnf(fact_inc__shift__def-2, axiom, ( ( _u14165 = _u14167) | ( c_Random_Oinc__shift(_u14165, _u14167) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14167), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_range ( axiom ) converted to clauses:
% 12.28/12.49 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)), _u14168)) | 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(_u14168), _u14169))), _u14168)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 12.28/12.49 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), _u14172), _u14174)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14172), _u14174)) )).
% 12.28/12.49 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14173), _u14175)) | 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), _u14173), _u14175)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem378(_u14181, _u14180, _u14179, _u14178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem379(_u14181, _u14180, _u14179, _u14178))) )).
% 12.28/12.49 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem378(_u14181, _u14180, _u14179, _u14178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem379(_u14181, _u14180, _u14179, _u14178)), _u14179)) )).
% 12.28/12.49 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem378(_u14181, _u14180, _u14179, _u14178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | ( hAPP(_u14180, skolem379(_u14181, _u14180, _u14179, _u14178)) = _u14181) )).
% 12.28/12.49 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem379(_u14181, _u14180, _u14179, _u14178))) )).
% 12.28/12.49 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem379(_u14181, _u14180, _u14179, _u14178)), _u14179)) )).
% 12.28/12.49 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | ( hAPP(_u14180, skolem379(_u14181, _u14180, _u14179, _u14178)) = _u14181) )).
% 12.28/12.49 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(_u14180, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14180, skolem378(_u14181, _u14180, _u14179, _u14178))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem379(_u14181, _u14180, _u14179, _u14178))) )).
% 12.28/12.49 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(_u14180, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14180, skolem378(_u14181, _u14180, _u14179, _u14178))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem379(_u14181, _u14180, _u14179, _u14178)), _u14179)) )).
% 12.28/12.49 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(_u14180, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14180, skolem378(_u14181, _u14180, _u14179, _u14178))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | ( hAPP(_u14180, skolem379(_u14181, _u14180, _u14179, _u14178)) = _u14181) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14182, _u14183) | c_Wellfounded_Owf(_u14182, c_Transitive__Closure_Otrancl(_u14182, _u14183)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14188, _u14190) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14188, _u14188)), hAPP(hAPP(c_Product__Type_OPair(_u14188, _u14188), _u14184), _u14184)), c_Transitive__Closure_Otrancl(_u14188, _u14190))) )).
% 12.28/12.49 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), skolem380(_u14191, _u14189)), skolem380(_u14191, _u14189))), c_Transitive__Closure_Otrancl(_u14189, _u14191))) | c_Wellfounded_Oacyclic(_u14189, _u14191) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14192, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14192, _u14192), _u14193), _u14194)), _u14195)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14192, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14192, _u14192), _u14193), _u14194)), c_Transitive__Closure_Otrancl(_u14192, _u14195))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14196, _u14196), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14196, _u14197)), hAPP(hAPP(c_Product__Type_OSigma(_u14196, _u14196), hAPP(c_Relation_OField(_u14196), _u14197)), hAPP(c_COMBK(tc_fun(_u14196, tc_HOL_Obool), _u14196), hAPP(c_Relation_OField(_u14196), _u14197))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), _u14199), _u14200)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), _u14199), c_Transitive__Closure_Otrancl(_u14198, _u14200))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14201, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14202, _u14202), c_Transitive__Closure_Otrancl(_u14202, _u14203)) = hAPP(c_Relation_ODomain(_u14202, _u14202), _u14203)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u14204, _u14204), c_Transitive__Closure_Otrancl(_u14204, _u14205)) = hAPP(c_Relation_ORange(_u14204, _u14204), _u14205)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14208, _u14208)), c_Transitive__Closure_Otrancl(_u14208, _u14210))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14208, _u14208)), _u14210)) )).
% 12.28/12.49 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14209, _u14209)), _u14211)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14209, _u14209)), c_Transitive__Closure_Otrancl(_u14209, _u14211))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14212, _u14212)), hAPP(hAPP(c_Product__Type_OPair(_u14212, _u14212), _u14213), _u14214)), c_Transitive__Closure_Otrancl(_u14212, _u14215))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14212, _u14212)), hAPP(hAPP(c_Product__Type_OPair(_u14212, _u14212), _u14214), _u14216)), c_Transitive__Closure_Otrancl(_u14212, _u14215))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14212, _u14212)), hAPP(hAPP(c_Product__Type_OPair(_u14212, _u14212), _u14213), _u14216)), c_Transitive__Closure_Otrancl(_u14212, _u14215))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14217, _u14217)), hAPP(hAPP(c_Product__Type_OPair(_u14217, _u14217), _u14218), _u14219)), c_Transitive__Closure_Otrancl(_u14217, _u14220))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14217, _u14217)), hAPP(hAPP(c_Product__Type_OPair(_u14217, _u14217), _u14219), _u14221)), _u14220)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14217, _u14217)), hAPP(hAPP(c_Product__Type_OPair(_u14217, _u14217), _u14218), _u14221)), c_Transitive__Closure_Otrancl(_u14217, _u14220))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14222, _u14222)), hAPP(hAPP(c_Product__Type_OPair(_u14222, _u14222), _u14223), _u14224)), _u14225)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14222, _u14222)), hAPP(hAPP(c_Product__Type_OPair(_u14222, _u14222), _u14224), _u14226)), c_Transitive__Closure_Otrancl(_u14222, _u14225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14222, _u14222)), hAPP(hAPP(c_Product__Type_OPair(_u14222, _u14222), _u14223), _u14226)), c_Transitive__Closure_Otrancl(_u14222, _u14225))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14227, _u14227)), hAPP(hAPP(c_Product__Type_OPair(_u14227, _u14227), _u14228), _u14229)), _u14230)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14227, _u14227)), hAPP(hAPP(c_Product__Type_OPair(_u14227, _u14227), _u14229), _u14231)), _u14230)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14227, _u14227)), hAPP(hAPP(c_Product__Type_OPair(_u14227, _u14227), _u14228), _u14231)), c_Transitive__Closure_Otrancl(_u14227, _u14230))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14232, _u14232)), _u14233), c_Transitive__Closure_Otrancl(_u14232, _u14234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14232, _u14232), tc_HOL_Obool)), _u14234), _u14235)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14232, _u14232)), _u14233), c_Transitive__Closure_Otrancl(_u14232, _u14235))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14236, _u14237) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14236, _u14236), tc_HOL_Obool)), _u14237), hAPP(hAPP(c_Relation_Orel__comp(_u14236, _u14236, _u14236), c_Transitive__Closure_Otrancl(_u14236, _u14237)), _u14237))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14239), hAPP(hAPP(c_Product__Type_OSigma(_u14238, _u14238), _u14240), hAPP(c_COMBK(tc_fun(_u14238, tc_HOL_Obool), _u14238), _u14240)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14238, _u14239)), hAPP(hAPP(c_Product__Type_OSigma(_u14238, _u14238), _u14240), hAPP(c_COMBK(tc_fun(_u14238, tc_HOL_Obool), _u14238), _u14240)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), _u14242), _u14243)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14241, _u14241, _u14241), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14241, _u14242)), _u14243)), _u14242)), _u14243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14241, _u14242)), _u14243)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14244, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14244, _u14244)), hAPP(hAPP(c_Product__Type_OPair(_u14244, _u14244), _u14245), _u14246)), _u14247)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14244, _u14247)), hAPP(c_Set_OCollect(tc_prod(_u14244, _u14244)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14244, _u14244, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14244, tc_fun(_u14244, tc_HOL_Obool), tc_fun(_u14244, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14244, tc_HOL_Obool), tc_fun(_u14244, tc_HOL_Obool)), _u14244), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14244)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14244), c_fconj), hAPP(hAPP(c_COMBC(_u14244, tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14244, _u14244), tc_fun(tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), _u14244), c_member(tc_prod(_u14244, _u14244))), hAPP(hAPP(c_COMBC(_u14244, _u14244, tc_prod(_u14244, _u14244)), c_Product__Type_OPair(_u14244, _u14244)), _u14245))), c_Transitive__Closure_Ortrancl(_u14244, _u14247))))), hAPP(hAPP(c_COMBC(_u14244, tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14244, _u14244), tc_fun(tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), _u14244), c_member(tc_prod(_u14244, _u14244))), hAPP(c_Product__Type_OPair(_u14244, _u14244), _u14246))), c_Transitive__Closure_Ortrancl(_u14244, _u14247))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14252, tc_fun(_u14252, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14252, tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_fun(_u14252, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14252, tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_fun(_u14252, tc_HOL_Obool)), _u14252), c_COMBC(_u14252, tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14252, tc_prod(_u14252, _u14252)), tc_fun(_u14252, tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool)), _u14252), hAPP(c_COMBB(tc_prod(_u14252, _u14252), tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool), _u14252), c_member(tc_prod(_u14252, _u14252)))), c_Product__Type_OPair(_u14252, _u14252)))), _u14254)), c_fequal), _u14256), _u14258)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14252, _u14252)), hAPP(hAPP(c_Product__Type_OPair(_u14252, _u14252), _u14256), _u14258)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool)), _u14254), c_Relation_OId(_u14252)))) )).
% 12.28/12.49 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14253, _u14253)), hAPP(hAPP(c_Product__Type_OPair(_u14253, _u14253), _u14257), _u14259)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool)), _u14255), c_Relation_OId(_u14253)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14253, tc_fun(_u14253, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14253, tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_fun(_u14253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14253, tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_fun(_u14253, tc_HOL_Obool)), _u14253), c_COMBC(_u14253, tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14253, tc_prod(_u14253, _u14253)), tc_fun(_u14253, tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool)), _u14253), hAPP(c_COMBB(tc_prod(_u14253, _u14253), tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool), _u14253), c_member(tc_prod(_u14253, _u14253)))), c_Product__Type_OPair(_u14253, _u14253)))), _u14255)), c_fequal), _u14257), _u14259)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), _u14261), _u14262)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), _u14261), c_Transitive__Closure_Ortrancl(_u14260, _u14262))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14264)), c_Transitive__Closure_Ortrancl(_u14263, _u14265))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_IdI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14267)), c_Relation_OId(_u14266))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14270)), c_Transitive__Closure_Otrancl(_u14268, _u14271))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14270)), c_Transitive__Closure_Ortrancl(_u14268, _u14271))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14272, c_Transitive__Closure_Ortrancl(_u14272, _u14273)) = c_Transitive__Closure_Ortrancl(_u14272, _u14273)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14274, c_Transitive__Closure_Otrancl(_u14274, _u14275)) = c_Transitive__Closure_Ortrancl(_u14274, _u14275)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14276, _u14276), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14276, _u14277)), c_Relation_OId(_u14276)) = c_Transitive__Closure_Ortrancl(_u14276, _u14277)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14278, _u14278), tc_HOL_Obool)), _u14279), c_Relation_OId(_u14278))) = c_Transitive__Closure_Ortrancl(_u14278, _u14279)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14280, _u14281) = hAPP(hAPP(c_Relation_Orel__comp(_u14280, _u14280, _u14280), _u14281), c_Transitive__Closure_Ortrancl(_u14280, _u14281))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14282, _u14283) = hAPP(hAPP(c_Relation_Orel__comp(_u14282, _u14282, _u14282), c_Transitive__Closure_Ortrancl(_u14282, _u14283)), _u14283)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14284, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14284, _u14284, _u14285), _u14286)), _u14286)) | ( hAPP(c_Relation_OImage(_u14284, _u14284, c_Transitive__Closure_Ortrancl(_u14284, _u14285)), _u14286) = _u14286) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14287, _u14288)), c_Transitive__Closure_Ortrancl(_u14287, _u14289))), c_Transitive__Closure_Ortrancl(_u14287, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), _u14288), _u14289)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool)), _u14291), _u14292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14290, _u14291)), c_Transitive__Closure_Ortrancl(_u14290, _u14292))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool)), _u14294), _u14295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool)), _u14295), c_Transitive__Closure_Ortrancl(_u14293, _u14294))) | ( c_Transitive__Closure_Ortrancl(_u14293, _u14295) = c_Transitive__Closure_Ortrancl(_u14293, _u14294)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14296, _u14296), tc_HOL_Obool)), _u14297), c_Transitive__Closure_Ortrancl(_u14296, _u14298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14296, _u14296), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14296, _u14297)), c_Transitive__Closure_Ortrancl(_u14296, _u14298))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), c_Relation_OId(_u14299)), _u14300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14299, _u14299, _u14299), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14299, _u14301)), _u14300)), _u14301)), _u14300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14299, _u14301)), _u14300)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14302, _u14302), c_Transitive__Closure_Ortrancl(_u14302, _u14303)) = c_Orderings_Otop__class_Otop(tc_fun(_u14302, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u14304, _u14304), c_Transitive__Closure_Ortrancl(_u14304, _u14305)) = c_Orderings_Otop__class_Otop(tc_fun(_u14304, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14306, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14306, _u14306), tc_HOL_Obool))) = c_Relation_OId(_u14306)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14307, _u14308) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14307, _u14307), tc_HOL_Obool)), c_Relation_OId(_u14307)), hAPP(hAPP(c_Relation_Orel__comp(_u14307, _u14307, _u14307), c_Transitive__Closure_Ortrancl(_u14307, _u14308)), _u14308))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14311), _u14312)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, _u14311))) )).
% 12.28/12.49 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14311), _u14312)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, _u14312))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14313, _u14313, _u14313), c_Transitive__Closure_Ortrancl(_u14313, _u14314)), c_Transitive__Closure_Ortrancl(_u14313, _u14314)) = c_Transitive__Closure_Ortrancl(_u14313, _u14314)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14315, _u14315, _u14315), _u14316), c_Transitive__Closure_Ortrancl(_u14315, _u14316)) = hAPP(hAPP(c_Relation_Orel__comp(_u14315, _u14315, _u14315), c_Transitive__Closure_Ortrancl(_u14315, _u14316)), _u14316)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14317, _u14317), tc_HOL_Obool)), _u14318), c_Relation_OId(_u14317))) = c_Transitive__Closure_Ortrancl(_u14317, _u14318)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14319, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14319, _u14319), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14319, _u14320)), c_Transitive__Closure_Ortrancl(_u14319, _u14321))) = c_Transitive__Closure_Ortrancl(_u14319, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14319, _u14319), tc_HOL_Obool)), _u14320), _u14321))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14322, _u14322), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14322, _u14323)), c_Relation_OId(_u14322)) = c_Transitive__Closure_Ortrancl(_u14322, _u14323)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14324, c_Transitive__Closure_Ortrancl(_u14324, _u14325)) = c_Transitive__Closure_Ortrancl(_u14324, _u14325)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14326), _u14327), _u14328)), c_Transitive__Closure_Ortrancl(_u14326, _u14329))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14326), _u14328), _u14330)), c_Transitive__Closure_Ortrancl(_u14326, _u14329))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14326), _u14327), _u14330)), c_Transitive__Closure_Ortrancl(_u14326, _u14329))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14332), _u14333)), c_Transitive__Closure_Ortrancl(_u14331, _u14334))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14333), _u14335)), _u14334)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14332), _u14335)), c_Transitive__Closure_Ortrancl(_u14331, _u14334))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14338)), _u14339)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14338), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14341, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14341, _u14341), tc_HOL_Obool)), _u14342), c_Relation_OId(_u14341))) = c_Transitive__Closure_Ortrancl(_u14341, _u14342)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u14343, c_Orderings_Otop__class_Otop(tc_fun(_u14343, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14343, _u14344)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u14345, _u14345, c_Relation_OId(_u14345)), _u14346) = _u14346) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14347, _u14348, _u14348), _u14349), c_Relation_OId(_u14348)) = _u14349) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14350, _u14350, _u14351), c_Relation_OId(_u14350)), _u14352) = _u14352) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u14358 = _u14360) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14356, _u14356)), hAPP(hAPP(c_Product__Type_OPair(_u14356, _u14356), _u14358), _u14360)), c_Relation_OId(_u14356))) )).
% 12.28/12.49 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u14359 != _u14361) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14359), _u14361)), c_Relation_OId(_u14357))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14362)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14362), _u14363), _u14364)), c_Transitive__Closure_Ortrancl(_u14362, _u14365))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14362)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14362), _u14364), _u14366)), c_Transitive__Closure_Otrancl(_u14362, _u14365))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14362)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14362), _u14363), _u14366)), c_Transitive__Closure_Otrancl(_u14362, _u14365))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14367, _u14367)), hAPP(hAPP(c_Product__Type_OPair(_u14367, _u14367), _u14368), _u14369)), c_Transitive__Closure_Otrancl(_u14367, _u14370))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14367, _u14367)), hAPP(hAPP(c_Product__Type_OPair(_u14367, _u14367), _u14369), _u14371)), c_Transitive__Closure_Ortrancl(_u14367, _u14370))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14367, _u14367)), hAPP(hAPP(c_Product__Type_OPair(_u14367, _u14367), _u14368), _u14371)), c_Transitive__Closure_Otrancl(_u14367, _u14370))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14373), _u14374)), c_Transitive__Closure_Ortrancl(_u14372, _u14375))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14374), _u14376)), _u14375)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14373), _u14376)), c_Transitive__Closure_Otrancl(_u14372, _u14375))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14377, _u14377)), hAPP(hAPP(c_Product__Type_OPair(_u14377, _u14377), _u14378), _u14379)), c_Transitive__Closure_Ortrancl(_u14377, _u14380))) | ( _u14378 = _u14379) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14377, _u14377)), hAPP(hAPP(c_Product__Type_OPair(_u14377, _u14377), _u14378), _u14379)), c_Transitive__Closure_Otrancl(_u14377, _u14380))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14381, _u14381)), hAPP(hAPP(c_Product__Type_OPair(_u14381, _u14381), _u14382), _u14383)), _u14384)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14381, _u14381)), hAPP(hAPP(c_Product__Type_OPair(_u14381, _u14381), _u14383), _u14385)), c_Transitive__Closure_Ortrancl(_u14381, _u14384))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14381, _u14381)), hAPP(hAPP(c_Product__Type_OPair(_u14381, _u14381), _u14382), _u14385)), c_Transitive__Closure_Otrancl(_u14381, _u14384))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14390, _u14390)), hAPP(hAPP(c_Product__Type_OPair(_u14390, _u14390), _u14392), _u14394)), c_Transitive__Closure_Ortrancl(_u14390, _u14396))) | ( _u14392 = _u14394) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14390, _u14390)), hAPP(hAPP(c_Product__Type_OPair(_u14390, _u14390), _u14392), _u14394)), c_Transitive__Closure_Otrancl(_u14390, _u14396))) )).
% 12.28/12.49 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14391, _u14391)), hAPP(hAPP(c_Product__Type_OPair(_u14391, _u14391), _u14393), _u14395)), c_Transitive__Closure_Ortrancl(_u14391, _u14397))) | ( _u14393 != _u14395) )).
% 12.28/12.49 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14391, _u14391)), hAPP(hAPP(c_Product__Type_OPair(_u14391, _u14391), _u14393), _u14395)), c_Transitive__Closure_Ortrancl(_u14391, _u14397))) | ( _u14393 = _u14395) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14391, _u14391)), hAPP(hAPP(c_Product__Type_OPair(_u14391, _u14391), _u14393), _u14395)), c_Transitive__Closure_Otrancl(_u14391, _u14397))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14398, _u14398), c_Relation_OId(_u14398)) = c_Orderings_Otop__class_Otop(tc_fun(_u14398, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u14399, _u14399), c_Relation_OId(_u14399)) = c_Orderings_Otop__class_Otop(tc_fun(_u14399, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u14400, c_Orderings_Otop__class_Otop(tc_fun(_u14400, tc_HOL_Obool)), c_Relation_OId(_u14400)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_pair__leq__def-1, axiom, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14401), _u14402), hAPP(c_Relation_ODomain(_u14401, _u14401), _u14403))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14401, _u14401)), hAPP(hAPP(c_Product__Type_OPair(_u14401, _u14401), _u14402), _u14404)), c_Transitive__Closure_Ortrancl(_u14401, _u14403))) | ( _u14402 = _u14404) )).
% 12.28/12.49 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14401), _u14402), hAPP(c_Relation_ODomain(_u14401, _u14401), _u14403))) | ( _u14402 != _u14404) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14401, _u14401)), hAPP(hAPP(c_Product__Type_OPair(_u14401, _u14401), _u14402), _u14404)), c_Transitive__Closure_Ortrancl(_u14401, _u14403))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14405), _u14406), c_Wellfounded_Oacc(_u14405, _u14407))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14405, _u14405)), hAPP(hAPP(c_Product__Type_OPair(_u14405, _u14405), _u14408), _u14406)), c_Transitive__Closure_Ortrancl(_u14405, _u14407))) | hBOOL(hAPP(hAPP(c_member(_u14405), _u14408), c_Wellfounded_Oacc(_u14405, _u14407))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14409, _u14409)), hAPP(hAPP(c_Product__Type_OPair(_u14409, _u14409), _u14410), _u14411)), c_Transitive__Closure_Ortrancl(_u14409, _u14412))) | ~hBOOL(hAPP(hAPP(c_member(_u14409), _u14411), c_Wellfounded_Oacc(_u14409, _u14412))) | hBOOL(hAPP(hAPP(c_member(_u14409), _u14410), c_Wellfounded_Oacc(_u14409, _u14412))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u14417, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14417, _u14417)), hAPP(hAPP(c_Product__Type_OPair(_u14417, _u14417), _u14419), _u14421)), _u14423)) | c_Wellfounded_Owf(_u14417, _u14423) )).
% 12.28/12.49 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u14417, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14417, _u14417)), hAPP(hAPP(c_Product__Type_OPair(_u14417, _u14417), _u14419), _u14421)), _u14423)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14417, _u14417)), hAPP(hAPP(c_Product__Type_OPair(_u14417, _u14417), _u14421), _u14419)), c_Transitive__Closure_Ortrancl(_u14417, _u14423))) )).
% 12.28/12.49 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u14418, _u14424) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14418, _u14418)), hAPP(hAPP(c_Product__Type_OPair(_u14418, _u14418), _u14422), _u14420)), c_Transitive__Closure_Ortrancl(_u14418, _u14424))) | c_Wellfounded_Owf(_u14418, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14418, _u14418)), hAPP(hAPP(c_Product__Type_OPair(_u14418, _u14418), _u14420), _u14422)), _u14424)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14429, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14431), _u14433)), _u14435)) | c_Wellfounded_Oacyclic(_u14429, _u14435) )).
% 12.28/12.49 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14429, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14431), _u14433)), _u14435)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14433), _u14431)), c_Transitive__Closure_Ortrancl(_u14429, _u14435))) )).
% 12.28/12.49 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u14430, _u14436) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14430, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14430, _u14430), _u14434), _u14432)), c_Transitive__Closure_Ortrancl(_u14430, _u14436))) | c_Wellfounded_Oacyclic(_u14430, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14430, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14430, _u14430), _u14432), _u14434)), _u14436)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u14437, c_Orderings_Otop__class_Otop(tc_fun(_u14437, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14437, _u14437), tc_HOL_Obool)), _u14438), c_Relation_OId(_u14437))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u14439) = hAPP(c_Set_OCollect(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_COMBB(tc_fun(_u14439, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14439, _u14439)), c_HOL_OEx(_u14439)), hAPP(hAPP(c_COMBC(tc_prod(_u14439, _u14439), tc_fun(_u14439, tc_prod(_u14439, _u14439)), tc_fun(_u14439, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14439, _u14439), tc_HOL_Obool), tc_fun(tc_fun(_u14439, tc_prod(_u14439, _u14439)), tc_fun(_u14439, tc_HOL_Obool)), tc_prod(_u14439, _u14439)), c_COMBB(tc_prod(_u14439, _u14439), tc_HOL_Obool, _u14439)), c_fequal)), hAPP(hAPP(c_COMBS(_u14439, _u14439, tc_prod(_u14439, _u14439)), c_Product__Type_OPair(_u14439, _u14439)), c_COMBI(_u14439)))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u14440, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14440, _u14440), tc_HOL_Obool)), _u14441), c_Relation_OId(_u14440))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 12.28/12.49 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), _u14444), _u14446)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14444), _u14446)) )).
% 12.28/12.49 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14445), _u14447)) | 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), _u14445), _u14447)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14448, _u14448)), hAPP(hAPP(c_Product__Type_OPair(_u14448, _u14448), _u14449), _u14450)), c_Transitive__Closure_Ortrancl(_u14448, _u14451))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14448, _u14448), tc_HOL_Obool)), _u14451), hAPP(hAPP(c_Product__Type_OSigma(_u14448, _u14448), _u14452), hAPP(c_COMBK(tc_fun(_u14448, tc_HOL_Obool), _u14448), _u14452)))) | ( _u14449 = _u14450) | hBOOL(hAPP(hAPP(c_member(_u14448), _u14449), _u14452)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14453, _u14453), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14453, _u14453), _u14454)), c_Transitive__Closure_Ortrancl(_u14453, _u14454)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14453, _u14453), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14453, _u14453)), hAPP(hAPP(c_Product__Type_OPair(_u14453, _u14453), _u14455), _u14455)), c_Transitive__Closure_Otrancl(_u14453, _u14454))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14457, _u14457)), hAPP(hAPP(c_Product__Type_OPair(_u14457, _u14457), hAPP(_u14458, hAPP(c_Nat_OSuc, skolem381(_u14461, _u14460, _u14459, _u14458, _u14457)))), hAPP(_u14458, skolem381(_u14461, _u14460, _u14459, _u14458, _u14457)))), c_Transitive__Closure_Ortrancl(_u14457, _u14459))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14457, _u14457)), hAPP(hAPP(c_Product__Type_OPair(_u14457, _u14457), hAPP(_u14458, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14460), _u14461))), hAPP(_u14458, _u14460))), c_Transitive__Closure_Ortrancl(_u14457, _u14459))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14462, hAPP(c_Relation_Oconverse(_u14462, _u14462), _u14463)) = hAPP(c_Relation_Oconverse(_u14462, _u14462), c_Transitive__Closure_Ortrancl(_u14462, _u14463))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14464, _u14464), c_Relation_OId(_u14464)) = c_Relation_OId(_u14464)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14467, hAPP(c_Relation_Oconverse(_u14467, _u14467), _u14469)) | c_Wellfounded_Oacyclic(_u14467, _u14469) )).
% 12.28/12.49 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14468, _u14470) | c_Wellfounded_Oacyclic(_u14468, hAPP(c_Relation_Oconverse(_u14468, _u14468), _u14470)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14471, _u14472), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14473, tc_fun(tc_prod(_u14471, _u14472), tc_HOL_Obool)), _u14474), _u14475)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14473, tc_fun(tc_prod(_u14472, _u14471), tc_HOL_Obool)), _u14474), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14471, _u14472), tc_HOL_Obool), tc_fun(tc_prod(_u14472, _u14471), tc_HOL_Obool), _u14473), c_Relation_Oconverse(_u14471, _u14472)), _u14475))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converseD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14477)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14477), _u14478), _u14479)), hAPP(c_Relation_Oconverse(_u14477, _u14476), _u14480))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14477, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14477, _u14476), _u14479), _u14478)), _u14480)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converseI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14481, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14481, _u14482), _u14483), _u14484)), _u14485)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14481)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14481), _u14484), _u14483)), hAPP(c_Relation_Oconverse(_u14481, _u14482), _u14485))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14491, _u14493)), hAPP(hAPP(c_Product__Type_OPair(_u14491, _u14493), _u14495), _u14497)), hAPP(c_Relation_Oconverse(_u14493, _u14491), _u14499))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14493, _u14491)), hAPP(hAPP(c_Product__Type_OPair(_u14493, _u14491), _u14497), _u14495)), _u14499)) )).
% 12.28/12.49 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14492), _u14498), _u14496)), _u14500)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14494), _u14496), _u14498)), hAPP(c_Relation_Oconverse(_u14494, _u14492), _u14500))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14501, _u14502), hAPP(hAPP(c_Relation_Orel__comp(_u14501, _u14503, _u14502), _u14504), _u14505)) = hAPP(hAPP(c_Relation_Orel__comp(_u14502, _u14503, _u14501), hAPP(c_Relation_Oconverse(_u14503, _u14502), _u14505)), hAPP(c_Relation_Oconverse(_u14501, _u14503), _u14504))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14506, _u14507), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14506, _u14507), tc_HOL_Obool)), _u14508), _u14509)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14507, _u14506), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14506, _u14507), _u14508)), hAPP(c_Relation_Oconverse(_u14506, _u14507), _u14509))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14510, _u14510), c_Relation_OId__on(_u14510, _u14511)) = c_Relation_OId__on(_u14510, _u14511)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14512, _u14512), hAPP(hAPP(c_Relation_Oinv__image(_u14513, _u14512), _u14514), _u14515)) = hAPP(hAPP(c_Relation_Oinv__image(_u14513, _u14512), hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14514)), _u14515)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14516, _u14517), hAPP(c_Relation_Oconverse(_u14517, _u14516), _u14518)) = _u14518) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14519, _u14520), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14519, _u14520), tc_HOL_Obool)), _u14521), _u14522)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14520, _u14519), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14519, _u14520), _u14521)), hAPP(c_Relation_Oconverse(_u14519, _u14520), _u14522))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14526, _u14528)), hAPP(c_Relation_Oconverse(_u14528, _u14526), _u14530))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14528, _u14526)), _u14530)) )).
% 12.28/12.49 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14529, _u14527)), _u14531)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14527, _u14529)), hAPP(c_Relation_Oconverse(_u14529, _u14527), _u14531))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u14532), hAPP(c_Relation_Oconverse(_u14532, _u14532), _u14533)) = hAPP(c_Relation_OField(_u14532), _u14533)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u14537, _u14539, hAPP(c_Relation_Oconverse(_u14537, _u14537), _u14541)) | c_Relation_Orefl__on(_u14537, _u14539, _u14541) )).
% 12.28/12.49 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u14538, _u14540, _u14542) | c_Relation_Orefl__on(_u14538, _u14540, hAPP(c_Relation_Oconverse(_u14538, _u14538), _u14542)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14543, _u14544), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14545, tc_fun(tc_prod(_u14543, _u14544), tc_HOL_Obool)), _u14546), _u14547)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14545, tc_fun(tc_prod(_u14544, _u14543), tc_HOL_Obool)), _u14546), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14543, _u14544), tc_HOL_Obool), tc_fun(tc_prod(_u14544, _u14543), tc_HOL_Obool), _u14545), c_Relation_Oconverse(_u14543, _u14544)), _u14547))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14548, hAPP(c_Relation_Oconverse(_u14548, _u14548), _u14549)) = hAPP(c_Relation_Oconverse(_u14548, _u14548), c_Transitive__Closure_Otrancl(_u14548, _u14549))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14550, hAPP(c_Relation_Oconverse(_u14550, _u14550), _u14551)) | c_Wellfounded_Owf(_u14550, hAPP(c_Relation_Oconverse(_u14550, _u14550), c_Transitive__Closure_Otrancl(_u14550, _u14551))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14552, _u14553, _u14554) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14552, _u14552, _u14552), hAPP(c_Relation_Oconverse(_u14552, _u14552), _u14554)), _u14554) = _u14554) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14555, _u14556), _u14557) = hAPP(c_Relation_ODomain(_u14556, _u14555), hAPP(c_Relation_Oconverse(_u14555, _u14556), _u14557))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14558, _u14559), hAPP(c_Relation_Oconverse(_u14559, _u14558), _u14560)) = hAPP(c_Relation_ORange(_u14559, _u14558), _u14560)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14561, _u14562), hAPP(c_Relation_Oconverse(_u14562, _u14561), _u14563)) = hAPP(c_Relation_ODomain(_u14562, _u14561), _u14563)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14564, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14564, _u14564), _u14565), _u14566)), c_Transitive__Closure_Ortrancl(_u14564, _u14567))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14564, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14564, _u14564), _u14566), _u14565)), c_Transitive__Closure_Ortrancl(_u14564, hAPP(c_Relation_Oconverse(_u14564, _u14564), _u14567)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(c_Relation_Oconverse(_u14568, _u14568), _u14571)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14570), _u14569)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14572)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14572), _u14573), _u14574)), hAPP(c_Relation_Oconverse(_u14572, _u14572), c_Transitive__Closure_Otrancl(_u14572, _u14575)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14572)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14572), _u14573), _u14574)), c_Transitive__Closure_Otrancl(_u14572, hAPP(c_Relation_Oconverse(_u14572, _u14572), _u14575)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14576, _u14576)), hAPP(hAPP(c_Product__Type_OPair(_u14576, _u14576), _u14577), _u14578)), c_Transitive__Closure_Otrancl(_u14576, hAPP(c_Relation_Oconverse(_u14576, _u14576), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14576, _u14576)), hAPP(hAPP(c_Product__Type_OPair(_u14576, _u14576), _u14577), _u14578)), hAPP(c_Relation_Oconverse(_u14576, _u14576), c_Transitive__Closure_Otrancl(_u14576, _u14579)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14585, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14587, _u14585, _u14589), _u14591)), _u14593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14587, tc_HOL_Obool)), _u14591), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14587, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14585, _u14587, hAPP(c_Relation_Oconverse(_u14587, _u14585), _u14589)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14585, tc_HOL_Obool)), _u14593))))) )).
% 12.28/12.49 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14588, tc_HOL_Obool)), _u14592), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14588, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14586, _u14588, hAPP(c_Relation_Oconverse(_u14588, _u14586), _u14590)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14586, tc_HOL_Obool)), _u14594))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14586, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14588, _u14586, _u14590), _u14592)), _u14594)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14595, _u14596, _u14597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14595, _u14595), tc_HOL_Obool)), _u14597), hAPP(hAPP(c_Relation_Orel__comp(_u14595, _u14595, _u14595), hAPP(c_Relation_Oconverse(_u14595, _u14595), _u14597)), _u14597))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14598, _u14598, _u14598), hAPP(c_Relation_Oconverse(_u14598, _u14598), _u14599)), _u14599) != _u14599) | ( hAPP(c_Relation_ODomain(_u14598, _u14598), _u14599) != _u14600) | c_Equiv__Relations_Oequiv(_u14598, _u14600, _u14599) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14601, _u14601)), _u14602)) | ~c_Wellfounded_Oacyclic(_u14601, _u14602) | c_Wellfounded_Owf(_u14601, hAPP(c_Relation_Oconverse(_u14601, _u14601), _u14602)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14603, _u14604), _u14605) = hAPP(c_Set_OCollect(tc_prod(_u14604, _u14603)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14604, _u14603, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14604, tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_fun(_u14603, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14603, tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_fun(_u14603, tc_HOL_Obool)), _u14604), c_COMBC(_u14603, tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14603, tc_prod(_u14603, _u14604)), tc_fun(_u14603, tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool)), _u14604), hAPP(c_COMBB(tc_prod(_u14603, _u14604), tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool), _u14603), c_member(tc_prod(_u14603, _u14604)))), hAPP(c_COMBC(_u14603, _u14604, tc_prod(_u14603, _u14604)), c_Product__Type_OPair(_u14603, _u14604))))), _u14605)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14606, _u14607, hAPP(c_Relation_Oconverse(_u14607, _u14606), _u14608)) | ( _u14609 = c_Orderings_Obot__class_Obot(tc_fun(_u14610, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14607, _u14606, _u14608), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14610, tc_fun(_u14607, tc_HOL_Obool)), _u14609), _u14611)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14610, tc_fun(_u14606, tc_HOL_Obool)), _u14609), hAPP(hAPP(c_COMBB(tc_fun(_u14607, tc_HOL_Obool), tc_fun(_u14606, tc_HOL_Obool), _u14610), c_Relation_OImage(_u14607, _u14606, _u14608)), _u14611))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u14615, _u14617, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14615, _u14615), tc_HOL_Obool)), _u14619), c_Relation_OId(_u14615))) | c_Relation_Ototal__on(_u14615, _u14617, _u14619) )).
% 12.28/12.49 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u14616, _u14618, _u14620) | c_Relation_Ototal__on(_u14616, _u14618, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14616, _u14616), tc_HOL_Obool)), _u14620), c_Relation_OId(_u14616))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14621, _u14621, c_Relation_OId(_u14621)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14622, _u14623, _u14624) | ~c_Relation_Osingle__valued(_u14623, _u14625, _u14626) | c_Relation_Osingle__valued(_u14622, _u14625, hAPP(hAPP(c_Relation_Orel__comp(_u14622, _u14623, _u14625), _u14624), _u14626)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14627, _u14628), tc_HOL_Obool)), _u14629), _u14630)) | ~c_Relation_Osingle__valued(_u14627, _u14628, _u14630) | c_Relation_Osingle__valued(_u14627, _u14628, _u14629) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14631, _u14631, c_Relation_OId__on(_u14631, _u14632)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14633, c_Orderings_Obot__class_Obot(tc_fun(_u14633, tc_HOL_Obool)), _u14634) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u14638, _u14640, hAPP(c_Relation_Oconverse(_u14638, _u14638), _u14642)) | c_Relation_Ototal__on(_u14638, _u14640, _u14642) )).
% 12.28/12.49 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u14639, _u14641, _u14643) | c_Relation_Ototal__on(_u14639, _u14641, hAPP(c_Relation_Oconverse(_u14639, _u14639), _u14643)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14653, _u14655, _u14657) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14653, _u14655)), hAPP(hAPP(c_Product__Type_OPair(_u14653, _u14655), _u14646), _u14645)), _u14657)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14653, _u14655)), hAPP(hAPP(c_Product__Type_OPair(_u14653, _u14655), _u14646), _u14644)), _u14657)) | ( _u14645 = _u14644) )).
% 12.28/12.49 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14654, _u14656, _u14658) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14654, _u14656)), hAPP(hAPP(c_Product__Type_OPair(_u14654, _u14656), skolem382(_u14658, _u14656, _u14654)), skolem383(_u14658, _u14656, _u14654))), _u14658)) )).
% 12.28/12.49 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14654, _u14656, _u14658) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14654, _u14656)), hAPP(hAPP(c_Product__Type_OPair(_u14654, _u14656), skolem382(_u14658, _u14656, _u14654)), skolem384(_u14658, _u14656, _u14654))), _u14658)) )).
% 12.28/12.49 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14654, _u14656, _u14658) | ( skolem383(_u14658, _u14656, _u14654) != skolem384(_u14658, _u14656, _u14654)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14659, _u14660, _u14661) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14659, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14659, _u14660), _u14662), _u14663)), _u14661)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14659, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14659, _u14660), _u14662), _u14664)), _u14661)) | ( _u14663 = _u14664) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14672, _u14674, _u14676) | ~hBOOL(hAPP(hAPP(c_member(_u14672), _u14666), _u14674)) | ~hBOOL(hAPP(hAPP(c_member(_u14672), _u14665), _u14674)) | ( _u14666 = _u14665) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14672, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14672, _u14672), _u14666), _u14665)), _u14676)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14672, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14672, _u14672), _u14665), _u14666)), _u14676)) )).
% 12.28/12.49 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | hBOOL(hAPP(hAPP(c_member(_u14673), skolem385(_u14677, _u14675, _u14673)), _u14675)) )).
% 12.28/12.49 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | hBOOL(hAPP(hAPP(c_member(_u14673), skolem386(_u14677, _u14675, _u14673)), _u14675)) )).
% 12.28/12.49 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | ( skolem385(_u14677, _u14675, _u14673) != skolem386(_u14677, _u14675, _u14673)) )).
% 12.28/12.49 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), hAPP(hAPP(c_Product__Type_OPair(_u14673, _u14673), skolem385(_u14677, _u14675, _u14673)), skolem386(_u14677, _u14675, _u14673))), _u14677)) )).
% 12.28/12.49 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), hAPP(hAPP(c_Product__Type_OPair(_u14673, _u14673), skolem386(_u14677, _u14675, _u14673)), skolem385(_u14677, _u14675, _u14673))), _u14677)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14678, _u14678, _u14679) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14680), _u14681)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14680), _u14682)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14681), _u14682)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14682), _u14681)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14683, _u14684, hAPP(c_Relation_Oconverse(_u14684, _u14683), _u14685)) | ( hAPP(c_Relation_OImage(_u14684, _u14683, _u14685), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14684, tc_HOL_Obool)), _u14686), _u14687)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14683, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14684, _u14683, _u14685), _u14686)), hAPP(c_Relation_OImage(_u14684, _u14683, _u14685), _u14687))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14688, _u14688)), _u14689), c_Transitive__Closure_Ortrancl(_u14688, _u14690))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14688, _u14688)), _u14689), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14688, _u14688), 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(_u14688, _u14688), tc_HOL_Obool), tc_fun(tc_prod(_u14688, _u14688), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14688, _u14688), tc_HOL_Obool)), _u14690)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14692, _u14692)), hAPP(hAPP(c_Product__Type_OPair(_u14692, _u14692), skolem387(_u14693, _u14692)), skolem387(_u14693, _u14692))), c_Transitive__Closure_Otrancl(_u14692, _u14693))) | c_Wellfounded_Oacyclic(_u14692, _u14693) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14694, _u14694, _u14695) | c_Relation_Osingle__valued(_u14694, _u14694, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14694, _u14694), tc_HOL_Obool), _u14696), _u14695)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14697, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14698), _u14699)) | c_Wellfounded_Owf(_u14697, _u14699) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14700, _u14700), _u14701), hAPP(hAPP(c_Nat_Ocompow(_u14700, _u14700), _u14702), _u14703)) = hAPP(hAPP(c_Nat_Ocompow(_u14700, _u14700), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14702), _u14701)), _u14703)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14704, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14705, _u14705), _u14706), _u14704), _u14707)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14705, _u14705), _u14706), _u14704), hAPP(_u14704, _u14707))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14708, _u14709), tc_fun(_u14708, _u14709)), _u14710), c_Fun_Ocomp(_u14709, _u14709, _u14708, _u14711)) = c_Fun_Ocomp(_u14709, _u14709, _u14708, hAPP(hAPP(c_Nat_Ocompow(_u14709, _u14709), _u14710), _u14711))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14712, _u14712), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14713) = _u14713) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14714, _u14714, _u14714), _u14715), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14714, _u14714), tc_HOL_Obool), _u14716), _u14715)) = hAPP(hAPP(c_Relation_Orel__comp(_u14714, _u14714, _u14714), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14714, _u14714), tc_HOL_Obool), _u14716), _u14715)), _u14715)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14717, _u14717)), _u14718), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14717, _u14717), tc_HOL_Obool), _u14719), _u14720))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14717, _u14717)), _u14718), c_Transitive__Closure_Ortrancl(_u14717, _u14720))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14726, _u14726)), _u14728), c_Transitive__Closure_Ortrancl(_u14726, _u14730))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14726, _u14726)), _u14728), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14726, _u14726), tc_HOL_Obool), skolem388(_u14730, _u14728, _u14726)), _u14730))) )).
% 12.28/12.49 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14727, _u14727)), _u14729), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14727, _u14727), tc_HOL_Obool), _u14722), _u14731))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14727, _u14727)), _u14729), c_Transitive__Closure_Ortrancl(_u14727, _u14731))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14732, _u14732), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14733)), _u14734) = hAPP(hAPP(c_Relation_Orel__comp(_u14732, _u14732, _u14732), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14732, _u14732), tc_HOL_Obool), _u14733), _u14734)), _u14734)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14735, _u14735), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14736), _u14737)), _u14738) = hAPP(hAPP(c_Relation_Orel__comp(_u14735, _u14735, _u14735), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14735, _u14735), tc_HOL_Obool), _u14736), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14735, _u14735), tc_HOL_Obool), _u14737), _u14738))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14739, _u14739), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14740) = c_Relation_OId(_u14739)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14741, _u14741)), hAPP(hAPP(c_Product__Type_OPair(_u14741, _u14741), _u14742), _u14742)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14741, _u14741), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14743))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14745 = _u14746) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14744, _u14744)), hAPP(hAPP(c_Product__Type_OPair(_u14744, _u14744), _u14745), _u14746)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14744, _u14744), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14747))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14748, _u14748)), hAPP(hAPP(c_Product__Type_OPair(_u14748, _u14748), _u14749), _u14750)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14748, _u14748), tc_HOL_Obool), _u14751), _u14752))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14748, _u14748)), hAPP(hAPP(c_Product__Type_OPair(_u14748, _u14748), _u14750), _u14753)), _u14752)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14748, _u14748)), hAPP(hAPP(c_Product__Type_OPair(_u14748, _u14748), _u14749), _u14753)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14748, _u14748), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14751)), _u14752))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14754, _u14754)), hAPP(hAPP(c_Product__Type_OPair(_u14754, _u14754), _u14755), _u14756)), _u14757)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14754, _u14754)), hAPP(hAPP(c_Product__Type_OPair(_u14754, _u14754), _u14756), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14754, _u14754), tc_HOL_Obool), _u14759), _u14757))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14754, _u14754)), hAPP(hAPP(c_Product__Type_OPair(_u14754, _u14754), _u14755), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14754, _u14754), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14759)), _u14757))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14760, _u14760), hAPP(c_Nat_OSuc, _u14761)), _u14762) = hAPP(c_Fun_Ocomp(_u14760, _u14760, _u14760, _u14762), hAPP(hAPP(c_Nat_Ocompow(_u14760, _u14760), _u14761), _u14762))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14763, _u14763), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14764), _u14765)), _u14766) = hAPP(c_Fun_Ocomp(_u14763, _u14763, _u14763, hAPP(hAPP(c_Nat_Ocompow(_u14763, _u14763), _u14764), _u14766)), hAPP(hAPP(c_Nat_Ocompow(_u14763, _u14763), _u14765), _u14766))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14767, _u14767), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14768) = c_Fun_Oid(_u14767)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14776), c_Transitive__Closure_Otrancl(_u14774, _u14778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem389(_u14778, _u14776, _u14774))) )).
% 12.28/12.49 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14776), c_Transitive__Closure_Otrancl(_u14774, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14776), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14774, _u14774), tc_HOL_Obool), skolem389(_u14778, _u14776, _u14774)), _u14778))) )).
% 12.28/12.49 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)), _u14770)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14775, _u14775)), _u14777), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14775, _u14775), tc_HOL_Obool), _u14770), _u14779))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14775, _u14775)), _u14777), c_Transitive__Closure_Otrancl(_u14775, _u14779))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14780, _u14781) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14780, _u14780), 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(_u14780, _u14780), tc_HOL_Obool), tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14781))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14782) = c_Nat_Ocompow(_u14782, _u14782)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14788 = hAPP(c_Nat_OSuc, skolem391(_u14789, _u14788, _u14787, _u14786, _u14785))) )).
% 12.28/12.49 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), skolem391(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14789))) )).
% 12.28/12.49 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14787)), _u14789)) )).
% 12.28/12.49 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14786 = _u14787) | ( _u14788 = hAPP(c_Nat_OSuc, skolem391(_u14789, _u14788, _u14787, _u14786, _u14785))) )).
% 12.28/12.49 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14786 = _u14787) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), skolem391(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14789))) )).
% 12.28/12.49 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14786 = _u14787) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14787)), _u14789)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14795 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14795 = hAPP(c_Nat_OSuc, skolem393(_u14796, _u14795, _u14794, _u14793, _u14792))) )).
% 12.28/12.49 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14795 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792))), _u14796)) )).
% 12.28/12.49 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14795 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), skolem393(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14796))) )).
% 12.28/12.49 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14793 = _u14794) | ( _u14795 = hAPP(c_Nat_OSuc, skolem393(_u14796, _u14795, _u14794, _u14793, _u14792))) )).
% 12.28/12.49 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14793 = _u14794) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792))), _u14796)) )).
% 12.28/12.49 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14793 = _u14794) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), skolem393(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14796))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14799, _u14799), tc_HOL_Obool)), _u14802), _u14803)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), skolem394(_u14803, _u14802, _u14801, _u14800, _u14799)), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) )).
% 12.28/12.49 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14799, _u14799), tc_HOL_Obool)), _u14802), _u14803)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), skolem395(_u14803, _u14802, _u14801, _u14800, _u14799)), skolem394(_u14803, _u14802, _u14801, _u14800, _u14799))), _u14803)) )).
% 12.28/12.49 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14799, _u14799), tc_HOL_Obool)), _u14802), _u14803)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) | ( skolem395(_u14803, _u14802, _u14801, _u14800, _u14799) != skolem394(_u14803, _u14802, _u14801, _u14800, _u14799)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14806, _u14806), tc_HOL_Obool)), _u14809), _u14810)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), skolem396(_u14810, _u14809, _u14808, _u14807, _u14806))), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) )).
% 12.28/12.49 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14806, _u14806), tc_HOL_Obool)), _u14809), _u14810)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), skolem396(_u14810, _u14809, _u14808, _u14807, _u14806)), skolem397(_u14810, _u14809, _u14808, _u14807, _u14806))), _u14810)) )).
% 12.28/12.49 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14806, _u14806), tc_HOL_Obool)), _u14809), _u14810)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) | ( skolem396(_u14810, _u14809, _u14808, _u14807, _u14806) != skolem397(_u14810, _u14809, _u14808, _u14807, _u14806)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), _u14813), _u14814)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14812, _u14812), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14815)), _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), _u14813), skolem398(_u14816, _u14815, _u14814, _u14813, _u14812))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14812, _u14812), tc_HOL_Obool), _u14815), _u14816))) )).
% 12.28/12.49 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), _u14813), _u14814)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14812, _u14812), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14815)), _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), skolem398(_u14816, _u14815, _u14814, _u14813, _u14812)), _u14814)), _u14816)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), _u14819), _u14820)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14818, _u14818), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14821)), _u14822))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), _u14819), skolem399(_u14822, _u14821, _u14820, _u14819, _u14818))), _u14822)) )).
% 12.28/12.49 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), _u14819), _u14820)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14818, _u14818), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14821)), _u14822))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), skolem399(_u14822, _u14821, _u14820, _u14819, _u14818)), _u14820)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14818, _u14818), tc_HOL_Obool), _u14821), _u14822))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), _u14825), _u14826)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14824, _u14824), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14827)), _u14828))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), _u14825), skolem400(_u14828, _u14827, _u14826, _u14825, _u14824))), _u14828)) )).
% 12.28/12.49 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), _u14825), _u14826)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14824, _u14824), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14827)), _u14828))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), skolem400(_u14828, _u14827, _u14826, _u14825, _u14824)), _u14826)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14824, _u14824), tc_HOL_Obool), _u14827), _u14828))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), _u14831), _u14832)), c_Transitive__Closure_Otrancl(_u14830, _u14833))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), _u14831), skolem401(_u14833, _u14832, _u14831, _u14830))), c_Transitive__Closure_Ortrancl(_u14830, _u14833))) )).
% 12.28/12.49 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), _u14831), _u14832)), c_Transitive__Closure_Otrancl(_u14830, _u14833))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), skolem401(_u14833, _u14832, _u14831, _u14830)), _u14832)), _u14833)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14836), _u14837)), c_Transitive__Closure_Otrancl(_u14835, _u14838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14836), skolem402(_u14838, _u14837, _u14836, _u14835))), _u14838)) )).
% 12.28/12.49 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14836), _u14837)), c_Transitive__Closure_Otrancl(_u14835, _u14838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), skolem402(_u14838, _u14837, _u14836, _u14835)), _u14837)), c_Transitive__Closure_Ortrancl(_u14835, _u14838))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_IdE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14840, _u14840)), _u14841), c_Relation_OId(_u14840))) | ( _u14841 = hAPP(hAPP(c_Product__Type_OPair(_u14840, _u14840), skolem403(_u14841, _u14840)), skolem403(_u14841, _u14840))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14842), _u14843)) | hBOOL(hAPP(hAPP(c_member(_u14842), _u14844), _u14843)) | ( c_Big__Operators_Olattice_OSup__fin(_u14842, c_Orderings_Oord__class_Omax(_u14842), hAPP(hAPP(c_Set_Oinsert(_u14842), _u14844), _u14843)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14842, _u14842, c_Orderings_Oord__class_Omax(_u14842)), _u14844), _u14843)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u14845, _u14846, _u14847, _u14848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14845), _u14849)) | ( hAPP(hAPP(_u14848, _u14849), _u14850) = hAPP(hAPP(c_Finite__Set_Ofold(_u14845, _u14846, _u14847), _u14850), _u14849)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u14851, _u14852, _u14853), _u14854) = c_Finite__Set_Ofold(_u14852, _u14851, hAPP(hAPP(c_COMBB(_u14851, tc_fun(_u14851, _u14851), _u14852), _u14853), _u14854))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14855, _u14856, _u14857), _u14858), c_Orderings_Obot__class_Obot(tc_fun(_u14855, tc_HOL_Obool))) = _u14858) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14859, _u14860, _u14861), _u14862), _u14863) = c_HOL_OThe(_u14860, c_Finite__Set_Ofold__graph(_u14859, _u14860, _u14861, _u14862, _u14863))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14864), _u14865)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14864, tc_HOL_Obool)), _u14865), _u14866) = hAPP(hAPP(c_Finite__Set_Ofold(_u14864, tc_fun(_u14864, tc_HOL_Obool), c_Set_Oinsert(_u14864)), _u14866), _u14865)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14867) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14867), _u14868)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14867, _u14867, c_Lattices_Osemilattice__sup__class_Osup(_u14867)), _u14869), hAPP(hAPP(c_Set_Oinsert(_u14867), _u14870), _u14868)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14867), _u14870), hAPP(hAPP(c_Finite__Set_Ofold(_u14867, _u14867, c_Lattices_Osemilattice__sup__class_Osup(_u14867)), _u14869), _u14868))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14871), _u14872)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14871, _u14871, c_Lattices_Osemilattice__inf__class_Oinf(_u14871)), _u14873), hAPP(hAPP(c_Set_Oinsert(_u14871), _u14874), _u14872)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14871), _u14874), hAPP(hAPP(c_Finite__Set_Ofold(_u14871, _u14871, c_Lattices_Osemilattice__inf__class_Oinf(_u14871)), _u14873), _u14872))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u14875) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14875), _u14876)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14875, _u14875, c_Orderings_Oord__class_Omin(_u14875)), _u14877), hAPP(hAPP(c_Set_Oinsert(_u14875), _u14878), _u14876)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14875), _u14878), hAPP(hAPP(c_Finite__Set_Ofold(_u14875, _u14875, c_Orderings_Oord__class_Omin(_u14875)), _u14877), _u14876))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u14879) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14879), _u14880)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14879, _u14879, c_Orderings_Oord__class_Omax(_u14879)), _u14881), hAPP(hAPP(c_Set_Oinsert(_u14879), _u14882), _u14880)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14879), _u14882), hAPP(hAPP(c_Finite__Set_Ofold(_u14879, _u14879, c_Orderings_Oord__class_Omax(_u14879)), _u14881), _u14880))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14883), _u14884)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14883), _u14885), c_Complete__Lattice_OSup__class_OSup(_u14883, _u14884)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14883, _u14883, c_Lattices_Osemilattice__sup__class_Osup(_u14883)), _u14885), _u14884)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14886), _u14887)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14886), _u14888), c_Complete__Lattice_OInf__class_OInf(_u14886, _u14887)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14886, _u14886, c_Lattices_Osemilattice__inf__class_Oinf(_u14886)), _u14888), _u14887)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14889, _u14890, _u14891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14889), _u14892)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14889, _u14890, _u14891), _u14893), hAPP(hAPP(c_Set_Oinsert(_u14889), _u14894), _u14892)) = hAPP(hAPP(_u14891, _u14894), hAPP(hAPP(c_Finite__Set_Ofold(_u14889, _u14890, _u14891), _u14893), _u14892))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14895, _u14896, _u14897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14895), _u14898)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14895, _u14896, _u14897), _u14899), hAPP(hAPP(c_Set_Oinsert(_u14895), _u14900), _u14898)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14895, _u14896, _u14897), hAPP(hAPP(_u14897, _u14900), _u14899)), _u14898)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14902), _u14903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14901), _u14904), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14902, _u14901), _u14903), _u14905)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14902, _u14901, hAPP(hAPP(c_COMBB(_u14901, tc_fun(_u14901, _u14901), _u14902), c_Lattices_Osemilattice__sup__class_Osup(_u14901)), _u14905)), _u14904), _u14903)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14907), _u14908)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14906), _u14909), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14907, _u14906), _u14908), _u14910)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14907, _u14906, hAPP(hAPP(c_COMBB(_u14906, tc_fun(_u14906, _u14906), _u14907), c_Lattices_Osemilattice__inf__class_Oinf(_u14906)), _u14910)), _u14909), _u14908)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u14911, _u14912, _u14913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14911), _u14914)) | ( hAPP(_u14913, hAPP(hAPP(c_Set_Oinsert(_u14911), _u14915), _u14914)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14911, _u14911, _u14912), _u14915), _u14914)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14916), _u14917)) | ~hBOOL(hAPP(hAPP(c_member(_u14916), _u14918), _u14917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14916), _u14918), _u14919)), hAPP(hAPP(c_Finite__Set_Ofold(_u14916, _u14916, c_Lattices_Osemilattice__sup__class_Osup(_u14916)), _u14919), _u14917))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14920), _u14921)) | ~hBOOL(hAPP(hAPP(c_member(_u14920), _u14922), _u14921)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14920), hAPP(hAPP(c_Finite__Set_Ofold(_u14920, _u14920, c_Lattices_Osemilattice__inf__class_Oinf(_u14920)), _u14923), _u14921)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14920), _u14922), _u14923))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u14924) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14924), _u14925)) | ~hBOOL(hAPP(hAPP(c_member(_u14924), _u14926), _u14925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14924), hAPP(hAPP(c_Finite__Set_Ofold(_u14924, _u14924, c_Orderings_Oord__class_Omin(_u14924)), _u14927), _u14925)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14924), _u14926), _u14927))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u14928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14928), _u14929)) | ~hBOOL(hAPP(hAPP(c_member(_u14928), _u14930), _u14929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14928), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14928), _u14930), _u14931)), hAPP(hAPP(c_Finite__Set_Ofold(_u14928, _u14928, c_Orderings_Oord__class_Omax(_u14928)), _u14931), _u14929))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14932) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14932), _u14933)) | ( c_Complete__Lattice_OSup__class_OSup(_u14932, _u14933) = hAPP(hAPP(c_Finite__Set_Ofold(_u14932, _u14932, c_Lattices_Osemilattice__sup__class_Osup(_u14932)), c_Orderings_Obot__class_Obot(_u14932)), _u14933)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14934), _u14935)) | ( c_Complete__Lattice_OInf__class_OInf(_u14934, _u14935) = hAPP(hAPP(c_Finite__Set_Ofold(_u14934, _u14934, c_Lattices_Osemilattice__inf__class_Oinf(_u14934)), c_Orderings_Otop__class_Otop(_u14934)), _u14935)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14936), _u14937)) | ( hAPP(c_Finite__Set_Ofold1(_u14936, c_Groups_Otimes__class_Otimes(_u14936)), hAPP(hAPP(c_Set_Oinsert(_u14936), _u14938), _u14937)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14936, _u14936, c_Groups_Otimes__class_Otimes(_u14936)), _u14938), _u14937)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u14939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14939), _u14940)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14939, hAPP(hAPP(c_Set_Oinsert(_u14939), _u14941), _u14940)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14939, _u14939, c_Lattices_Osemilattice__sup__class_Osup(_u14939)), _u14941), _u14940)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u14942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14942), _u14943)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14942, hAPP(hAPP(c_Set_Oinsert(_u14942), _u14944), _u14943)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14942, _u14942, c_Lattices_Osemilattice__inf__class_Oinf(_u14942)), _u14944), _u14943)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14945), _u14946)) | ( c_Big__Operators_Olinorder__class_OMin(_u14945, hAPP(hAPP(c_Set_Oinsert(_u14945), _u14947), _u14946)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14945, _u14945, c_Orderings_Oord__class_Omin(_u14945)), _u14947), _u14946)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14948), _u14949)) | ( c_Big__Operators_Olinorder__class_OMax(_u14948, hAPP(hAPP(c_Set_Oinsert(_u14948), _u14950), _u14949)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14948, _u14948, c_Orderings_Oord__class_Omax(_u14948)), _u14950), _u14949)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14951) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14951), _u14952)) | ( c_Big__Operators_Olattice_OInf__fin(_u14951, c_Orderings_Oord__class_Omin(_u14951), hAPP(hAPP(c_Set_Oinsert(_u14951), _u14953), _u14952)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14951, _u14951, c_Orderings_Oord__class_Omin(_u14951)), _u14953), _u14952)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14954), _u14955)) | ( c_Big__Operators_Olattice_OSup__fin(_u14954, c_Orderings_Oord__class_Omax(_u14954), hAPP(hAPP(c_Set_Oinsert(_u14954), _u14956), _u14955)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14954, _u14954, c_Orderings_Oord__class_Omax(_u14954)), _u14956), _u14955)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14957), _u14958)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14957, tc_HOL_Obool)), _u14959), _u14958) = hAPP(hAPP(c_Finite__Set_Ofold(_u14957, tc_fun(_u14957, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14957, tc_HOL_Obool), tc_fun(tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool)), _u14957), hAPP(c_COMBC(tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14957, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14957, tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool)), c_Set_Oinsert(_u14957)), c_Orderings_Obot__class_Obot(tc_fun(_u14957, tc_HOL_Obool))))), _u14959), _u14958)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u14960, _u14961, _u14962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14960), _u14963)) | hBOOL(hAPP(hAPP(c_member(_u14960), _u14964), _u14963)) | ( hAPP(_u14962, hAPP(hAPP(c_Set_Oinsert(_u14960), _u14964), _u14963)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14960, _u14960, _u14961), _u14964), _u14963)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14966), _u14967)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14966, _u14965), _u14967), _u14968) = hAPP(hAPP(c_Finite__Set_Ofold(_u14966, _u14965, hAPP(hAPP(c_COMBB(_u14965, tc_fun(_u14965, _u14965), _u14966), c_Lattices_Osemilattice__sup__class_Osup(_u14965)), _u14968)), c_Orderings_Obot__class_Obot(_u14965)), _u14967)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14969) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14970), _u14971)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14970, _u14969), _u14971), _u14972) = hAPP(hAPP(c_Finite__Set_Ofold(_u14970, _u14969, hAPP(hAPP(c_COMBB(_u14969, tc_fun(_u14969, _u14969), _u14970), c_Lattices_Osemilattice__inf__class_Oinf(_u14969)), _u14972)), c_Orderings_Otop__class_Otop(_u14969)), _u14971)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14973), _u14974)) | hBOOL(hAPP(hAPP(c_member(_u14973), _u14975), _u14974)) | ( hAPP(c_Finite__Set_Ofold1(_u14973, c_Groups_Otimes__class_Otimes(_u14973)), hAPP(hAPP(c_Set_Oinsert(_u14973), _u14975), _u14974)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14973, _u14973, c_Groups_Otimes__class_Otimes(_u14973)), _u14975), _u14974)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u14976) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14976), _u14977)) | hBOOL(hAPP(hAPP(c_member(_u14976), _u14978), _u14977)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14976, hAPP(hAPP(c_Set_Oinsert(_u14976), _u14978), _u14977)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14976, _u14976, c_Lattices_Osemilattice__sup__class_Osup(_u14976)), _u14978), _u14977)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u14979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14979), _u14980)) | hBOOL(hAPP(hAPP(c_member(_u14979), _u14981), _u14980)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14979, hAPP(hAPP(c_Set_Oinsert(_u14979), _u14981), _u14980)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14979, _u14979, c_Lattices_Osemilattice__inf__class_Oinf(_u14979)), _u14981), _u14980)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14982) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14982), _u14983)) | hBOOL(hAPP(hAPP(c_member(_u14982), _u14984), _u14983)) | ( c_Big__Operators_Olinorder__class_OMin(_u14982, hAPP(hAPP(c_Set_Oinsert(_u14982), _u14984), _u14983)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14982, _u14982, c_Orderings_Oord__class_Omin(_u14982)), _u14984), _u14983)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14985), _u14986)) | hBOOL(hAPP(hAPP(c_member(_u14985), _u14987), _u14986)) | ( c_Big__Operators_Olinorder__class_OMax(_u14985, hAPP(hAPP(c_Set_Oinsert(_u14985), _u14987), _u14986)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14985, _u14985, c_Orderings_Oord__class_Omax(_u14985)), _u14987), _u14986)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14988) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14988), _u14989)) | hBOOL(hAPP(hAPP(c_member(_u14988), _u14990), _u14989)) | ( c_Big__Operators_Olattice_OInf__fin(_u14988, c_Orderings_Oord__class_Omin(_u14988), hAPP(hAPP(c_Set_Oinsert(_u14988), _u14990), _u14989)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14988, _u14988, c_Orderings_Oord__class_Omin(_u14988)), _u14990), _u14989)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14991, _u14992, _u14993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14991), _u14994)) | ~hBOOL(hAPP(hAPP(c_member(_u14991), _u14995), _u14994)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14991, _u14992, _u14993), _u14996), _u14994) = hAPP(hAPP(_u14993, _u14995), hAPP(hAPP(c_Finite__Set_Ofold(_u14991, _u14992, _u14993), _u14996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14991, tc_HOL_Obool)), _u14994), hAPP(hAPP(c_Set_Oinsert(_u14991), _u14995), c_Orderings_Obot__class_Obot(tc_fun(_u14991, tc_HOL_Obool))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14997, _u14998, _u14999) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14997), _u15000)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14997, _u14998, _u14999), _u15001), hAPP(hAPP(c_Set_Oinsert(_u14997), _u15002), _u15000)) = hAPP(hAPP(_u14999, _u15002), hAPP(hAPP(c_Finite__Set_Ofold(_u14997, _u14998, _u14999), _u15001), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14997, tc_HOL_Obool)), _u15000), hAPP(hAPP(c_Set_Oinsert(_u14997), _u15002), c_Orderings_Obot__class_Obot(tc_fun(_u14997, tc_HOL_Obool))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u15004, _u15004, _u15004, hAPP(_u15005, _u15006)), hAPP(_u15005, _u15007)) = hAPP(c_Fun_Ocomp(_u15004, _u15004, _u15004, hAPP(_u15005, _u15007)), hAPP(_u15005, _u15006))) | ~c_Finite__Set_Ofun__left__comm(_u15003, _u15004, _u15005) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15008, _u15009, _u15010) | c_Finite__Set_Ofun__left__comm(_u15011, _u15009, hAPP(hAPP(c_COMBB(_u15008, tc_fun(_u15009, _u15009), _u15011), _u15010), _u15012)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u15013) | c_Finite__Set_Ofun__left__comm(_u15013, _u15013, c_Groups_Otimes__class_Otimes(_u15013)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u15016, _u15017), hAPP(hAPP(_u15016, _u15018), _u15019)) = hAPP(hAPP(_u15016, _u15018), hAPP(hAPP(_u15016, _u15017), _u15019))) | ~c_Finite__Set_Ofun__left__comm(_u15014, _u15015, _u15016) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15020, _u15021, _u15022) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15020, _u15021, _u15022, _u15023, _u15024), _u15025)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15020, _u15021, _u15022, _u15023, _u15024), _u15026)) | ( _u15026 = _u15025) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15027, _u15028, _u15029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15027), _u15030)) | ( hAPP(hAPP(_u15029, _u15031), hAPP(hAPP(c_Finite__Set_Ofold(_u15027, _u15028, _u15029), _u15032), _u15030)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15027, _u15028, _u15029), hAPP(hAPP(_u15029, _u15031), _u15032)), _u15030)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15033, _u15034, _u15035) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15033, _u15034, _u15035, _u15036, _u15037), _u15038)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15033, _u15034, _u15035), _u15036), _u15037) = _u15038) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15039, _u15040, _u15041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15039), _u15042)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15039, _u15040, _u15041, _u15043, _u15042), hAPP(hAPP(c_Finite__Set_Ofold(_u15039, _u15040, _u15041), _u15043), _u15042))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15044, _u15045, _u15046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15044), _u15047)) | hBOOL(hAPP(hAPP(c_member(_u15044), _u15048), _u15047)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15044, _u15045, _u15046), _u15049), hAPP(hAPP(c_Set_Oinsert(_u15044), _u15048), _u15047)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15044, _u15045, _u15046), hAPP(hAPP(_u15046, _u15048), _u15049)), _u15047)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15050, _u15051, _u15052) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15050), _u15053)) | hBOOL(hAPP(hAPP(c_member(_u15050), _u15054), _u15053)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15050, _u15051, _u15052), _u15055), hAPP(hAPP(c_Set_Oinsert(_u15050), _u15054), _u15053)) = hAPP(hAPP(_u15052, _u15054), hAPP(hAPP(c_Finite__Set_Ofold(_u15050, _u15051, _u15052), _u15055), _u15053))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15057, _u15058, _u15059) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15057, _u15058, _u15059, _u15060, _u15061), _u15062)) | ~hBOOL(hAPP(hAPP(c_member(_u15057), _u15063), _u15061)) | ( _u15062 = hAPP(hAPP(_u15059, _u15063), skolem404(_u15063, _u15062, _u15061, _u15060, _u15059, _u15058, _u15057))) )).
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15057, _u15058, _u15059) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15057, _u15058, _u15059, _u15060, _u15061), _u15062)) | ~hBOOL(hAPP(hAPP(c_member(_u15057), _u15063), _u15061)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15057, _u15058, _u15059, _u15060, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15057, tc_HOL_Obool)), _u15061), hAPP(hAPP(c_Set_Oinsert(_u15057), _u15063), c_Orderings_Obot__class_Obot(tc_fun(_u15057, tc_HOL_Obool))))), skolem404(_u15063, _u15062, _u15061, _u15060, _u15059, _u15058, _u15057))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15065, _u15066, _u15067) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15065, _u15066, _u15067, _u15068, hAPP(hAPP(c_Set_Oinsert(_u15065), _u15069), _u15070)), _u15071)) | hBOOL(hAPP(hAPP(c_member(_u15065), _u15069), _u15070)) | ( _u15071 = hAPP(hAPP(_u15067, _u15069), skolem405(_u15071, _u15070, _u15069, _u15068, _u15067, _u15066, _u15065))) )).
% 12.28/12.49 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15065, _u15066, _u15067) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15065, _u15066, _u15067, _u15068, hAPP(hAPP(c_Set_Oinsert(_u15065), _u15069), _u15070)), _u15071)) | hBOOL(hAPP(hAPP(c_member(_u15065), _u15069), _u15070)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15065, _u15066, _u15067, _u15068, _u15070), skolem405(_u15071, _u15070, _u15069, _u15068, _u15067, _u15066, _u15065))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u15073) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15073), _u15074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15073), hAPP(hAPP(c_Finite__Set_Ofold(_u15073, _u15073, c_Orderings_Oord__class_Omax(_u15073)), _u15076), _u15074)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15073), _u15075), _u15076))) | hBOOL(hAPP(hAPP(c_member(_u15073), skolem406(_u15076, _u15075, _u15074, _u15073)), _u15074)) )).
% 12.28/12.49 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u15073) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15073), _u15074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15073), hAPP(hAPP(c_Finite__Set_Ofold(_u15073, _u15073, c_Orderings_Oord__class_Omax(_u15073)), _u15076), _u15074)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15073), _u15075), _u15076))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15073), skolem406(_u15076, _u15075, _u15074, _u15073)), _u15075)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u15078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15078), _u15079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15078), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15078), _u15080), _u15081)), hAPP(hAPP(c_Finite__Set_Ofold(_u15078, _u15078, c_Orderings_Oord__class_Omin(_u15078)), _u15081), _u15079))) | hBOOL(hAPP(hAPP(c_member(_u15078), skolem407(_u15081, _u15080, _u15079, _u15078)), _u15079)) )).
% 12.28/12.49 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u15078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15078), _u15079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15078), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15078), _u15080), _u15081)), hAPP(hAPP(c_Finite__Set_Ofold(_u15078, _u15078, c_Orderings_Oord__class_Omin(_u15078)), _u15081), _u15079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15078), _u15080), skolem407(_u15081, _u15080, _u15079, _u15078))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u15083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15083), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15083), _u15085), _u15086)), hAPP(hAPP(c_Finite__Set_Ofold(_u15083, _u15083, c_Lattices_Osemilattice__inf__class_Oinf(_u15083)), _u15086), _u15084))) | hBOOL(hAPP(hAPP(c_member(_u15083), skolem408(_u15086, _u15085, _u15084, _u15083)), _u15084)) )).
% 12.28/12.49 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u15083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15083), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15083), _u15085), _u15086)), hAPP(hAPP(c_Finite__Set_Ofold(_u15083, _u15083, c_Lattices_Osemilattice__inf__class_Oinf(_u15083)), _u15086), _u15084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15083), _u15085), skolem408(_u15086, _u15085, _u15084, _u15083))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u15088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15088), _u15089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15088), hAPP(hAPP(c_Finite__Set_Ofold(_u15088, _u15088, c_Lattices_Osemilattice__sup__class_Osup(_u15088)), _u15091), _u15089)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15088), _u15090), _u15091))) | hBOOL(hAPP(hAPP(c_member(_u15088), skolem409(_u15091, _u15090, _u15089, _u15088)), _u15089)) )).
% 12.28/12.49 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u15088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15088), _u15089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15088), hAPP(hAPP(c_Finite__Set_Ofold(_u15088, _u15088, c_Lattices_Osemilattice__sup__class_Osup(_u15088)), _u15091), _u15089)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15088), _u15090), _u15091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15088), skolem409(_u15091, _u15090, _u15089, _u15088)), _u15090)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u15092) | ( _u15093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15092), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u15092), _u15093), _u15094)), _u15094)), c_Divides_Odiv__class_Omod(_u15092, _u15093, _u15094))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u15105, _u15107) | ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15095), _u15098)) | hBOOL(hAPP(hAPP(c_member(_u15105), skolem410(_u15107, _u15105, _u15098)), _u15098)) )).
% 12.28/12.49 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u15105, _u15107) | ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15095), _u15098)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15105, _u15105)), hAPP(hAPP(c_Product__Type_OPair(_u15105, _u15105), _u15096), skolem410(_u15107, _u15105, _u15098))), _u15107)) | ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15096), _u15098)) )).
% 12.28/12.49 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u15106, _u15108) | hBOOL(hAPP(hAPP(c_member(_u15106), skolem412(_u15108, _u15106)), skolem411(_u15108, _u15106))) )).
% 12.28/12.49 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u15106, _u15108) | ~hBOOL(hAPP(hAPP(c_member(_u15106), _u15101), skolem411(_u15108, _u15106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15106, _u15106)), hAPP(hAPP(c_Product__Type_OPair(_u15106, _u15106), skolem413(_u15108, _u15106, _u15101)), _u15101)), _u15108)) )).
% 12.28/12.49 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u15106, _u15108) | ~hBOOL(hAPP(hAPP(c_member(_u15106), _u15101), skolem411(_u15108, _u15106))) | hBOOL(hAPP(hAPP(c_member(_u15106), skolem413(_u15108, _u15106, _u15101)), skolem411(_u15108, _u15106))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15115)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15116)) | ( hAPP(_u15114, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15110, tc_HOL_Obool)), _u15115), _u15116)) = hAPP(hAPP(_u15111, hAPP(_u15114, _u15115)), hAPP(_u15114, _u15116))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15109, _u15110, _u15111, _u15112, _u15113, _u15114) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 12.28/12.49 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)))), _u15118)) = 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)))), _u15119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem414(_u15119, _u15118))) )).
% 12.28/12.49 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)))), _u15118)) = 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)))), _u15119))) | hBOOL(hAPP(_u15118, skolem414(_u15119, _u15118))) | hBOOL(hAPP(_u15119, skolem414(_u15119, _u15118))) )).
% 12.28/12.49 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)))), _u15118)) = 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)))), _u15119))) | ~hBOOL(hAPP(_u15119, skolem414(_u15119, _u15118))) | ~hBOOL(hAPP(_u15118, skolem414(_u15119, _u15118))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u15122, _u15126), _u15126) = _u15126) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15120, _u15121, _u15122, _u15123, _u15124, _u15125) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15128), _u15133)) | ~hBOOL(hAPP(hAPP(c_member(_u15128), _u15134), _u15133)) | ( hAPP(hAPP(_u15129, hAPP(_u15131, _u15134)), hAPP(_u15132, _u15133)) = hAPP(_u15132, _u15133)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15127, _u15128, _u15129, _u15130, _u15131, _u15132) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15136), _u15141)) | ( hAPP(_u15140, hAPP(hAPP(c_Set_Oinsert(_u15136), _u15142), _u15141)) = hAPP(hAPP(_u15137, hAPP(_u15139, _u15142)), hAPP(_u15140, _u15141))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15135, _u15136, _u15137, _u15138, _u15139, _u15140) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15144), _u15149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15144, tc_HOL_Obool)), _u15150), _u15149)) | ( hAPP(hAPP(_u15145, hAPP(_u15148, _u15150)), hAPP(_u15148, _u15149)) = hAPP(_u15148, _u15149)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15143, _u15144, _u15145, _u15146, _u15147, _u15148) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15153), hAPP(c_Set_OCollect(_u15152), _u15155))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15154), hAPP(c_Set_OCollect(_u15152), _u15156)))) | hBOOL(hAPP(hAPP(c_member(_u15152), skolem415(_u15156, _u15155, _u15154, _u15153, _u15152)), _u15153)) )).
% 12.28/12.49 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15153), hAPP(c_Set_OCollect(_u15152), _u15155))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15154), hAPP(c_Set_OCollect(_u15152), _u15156)))) | hBOOL(hAPP(_u15155, skolem415(_u15156, _u15155, _u15154, _u15153, _u15152))) )).
% 12.28/12.49 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15153), hAPP(c_Set_OCollect(_u15152), _u15155))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15154), hAPP(c_Set_OCollect(_u15152), _u15156)))) | ~hBOOL(hAPP(_u15156, skolem415(_u15156, _u15155, _u15154, _u15153, _u15152))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_converseE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15159, _u15160)), _u15161), hAPP(c_Relation_Oconverse(_u15160, _u15159), _u15162))) | ( _u15161 = hAPP(hAPP(c_Product__Type_OPair(_u15159, _u15160), skolem417(_u15162, _u15161, _u15160, _u15159)), skolem416(_u15162, _u15161, _u15160, _u15159))) )).
% 12.28/12.49 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15159, _u15160)), _u15161), hAPP(c_Relation_Oconverse(_u15160, _u15159), _u15162))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15160, _u15159)), hAPP(hAPP(c_Product__Type_OPair(_u15160, _u15159), skolem416(_u15162, _u15161, _u15160, _u15159)), skolem417(_u15162, _u15161, _u15160, _u15159))), _u15162)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15167)), _u15168), hAPP(hAPP(c_Relation_Orel__comp(_u15166, _u15169, _u15167), _u15170), _u15171))) | ( _u15168 = hAPP(hAPP(c_Product__Type_OPair(_u15166, _u15167), skolem418(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166)), skolem420(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166))) )).
% 12.28/12.49 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15167)), _u15168), hAPP(hAPP(c_Relation_Orel__comp(_u15166, _u15169, _u15167), _u15170), _u15171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15169)), hAPP(hAPP(c_Product__Type_OPair(_u15166, _u15169), skolem418(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166)), skolem419(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166))), _u15170)) )).
% 12.28/12.49 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15167)), _u15168), hAPP(hAPP(c_Relation_Orel__comp(_u15166, _u15169, _u15167), _u15170), _u15171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15169, _u15167)), hAPP(hAPP(c_Product__Type_OPair(_u15169, _u15167), skolem419(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166)), skolem420(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166))), _u15171)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u15172, _u15173, _u15174) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u15172), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u15172), _u15173), hAPP(c_Nitpick_Odenom(_u15172), _u15174))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u15172), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u15172), tc_Int_Oint), c_Nitpick_Ofrac(_u15172)), 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(_u15172), _u15173))), 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(_u15172), _u15173))))), 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(_u15172), _u15174))), 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(_u15172), _u15174)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u15175, _u15176, _u15177) = hAPP(hAPP(c_Nitpick_Ofrac(_u15175), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15175), _u15176)), hAPP(c_Nitpick_Onum(_u15175), _u15177))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u15175), _u15176)), hAPP(c_Nitpick_Odenom(_u15175), _u15177)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u15178) | ~class_Rings_Oring__1(_u15178) | ( c_Nitpick_Oof__frac(_u15179, _u15178, _u15180) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u15178), hAPP(c_Int_Oring__1__class_Oof__int(_u15178), hAPP(c_Nitpick_Onum(_u15179), _u15180))), hAPP(c_Int_Oring__1__class_Oof__int(_u15178), hAPP(c_Nitpick_Odenom(_u15179), _u15180)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u15181, _u15182) = hAPP(hAPP(c_Nitpick_Ofrac(_u15181), hAPP(c_Nitpick_Odenom(_u15181), _u15182)), hAPP(c_Nitpick_Onum(_u15181), _u15182))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u15183, _u15184) = c_Nitpick_OAbs__Frac(_u15183, 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(_u15183), _u15184))), hAPP(c_Nitpick_Odenom(_u15183), _u15184)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u15188, _u15190, _u15192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15188), c_Nitpick_Oplus__frac(_u15188, _u15190, c_Nitpick_Ouminus__frac(_u15188, _u15192)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.49 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15189), c_Nitpick_Oplus__frac(_u15189, _u15191, c_Nitpick_Ouminus__frac(_u15189, _u15193)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u15189, _u15191, _u15193) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u15197, _u15199, _u15201) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15197), c_Nitpick_Oplus__frac(_u15197, _u15199, c_Nitpick_Ouminus__frac(_u15197, _u15201)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.28/12.49 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(_u15198), c_Nitpick_Oplus__frac(_u15198, _u15200, c_Nitpick_Ouminus__frac(_u15198, _u15202)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u15198, _u15200, _u15202) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u15203) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15203, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15203))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u15204) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15204, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15204))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u15206) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15206), c_Groups_Ozero__class_Ozero(_u15206)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15207, _u15206), _u15209), _u15208))) | hBOOL(hAPP(hAPP(c_member(_u15207), skolem421(_u15209, _u15208, _u15207, _u15206)), _u15208)) )).
% 12.28/12.49 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u15206) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15206), c_Groups_Ozero__class_Ozero(_u15206)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15207, _u15206), _u15209), _u15208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15206), c_Groups_Ozero__class_Ozero(_u15206)), hAPP(_u15209, skolem421(_u15209, _u15208, _u15207, _u15206)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u15210, _u15211, _u15212) = c_Product__Type_Oprod_Oprod__case(_u15210, _u15211, _u15212)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u15213, _u15214, _u15215), _u15216), hAPP(hAPP(c_Product__Type_OPair(_u15213, _u15214), _u15217), _u15218)) = hAPP(hAPP(_u15216, _u15217), _u15218)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u15220) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15220), c_Groups_Ozero__class_Ozero(_u15220)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15221, _u15220), _u15223), _u15222))) | hBOOL(hAPP(hAPP(c_member(_u15221), skolem422(_u15223, _u15222, _u15221, _u15220)), _u15222)) )).
% 12.28/12.49 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u15220) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15220), c_Groups_Ozero__class_Ozero(_u15220)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15221, _u15220), _u15223), _u15222))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15220), c_Groups_Ozero__class_Ozero(_u15220)), hAPP(_u15223, skolem422(_u15223, _u15222, _u15221, _u15220)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem423(_u15226, _u15225)), hAPP(_u15225, skolem423(_u15226, _u15225)))) | 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)), _u15225)), _u15226)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u15227, _u15228) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u15227)), tc_List_Olist(_u15227)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u15227), c_Wellfounded_Oless__than, c_List_Olex(_u15227, _u15228))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15227), tc_List_Olist(_u15227), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15227))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u15227), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15227))), tc_List_Olist(_u15227)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u15227))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15227)))), c_COMBI(tc_List_Olist(_u15227))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15229), tc_List_Olist(_u15229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15229), tc_List_Olist(_u15229)), _u15230), _u15231)), hAPP(c_List_Olexn(_u15229, _u15232), _u15233))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15229)), _u15230) = _u15233) )).
% 12.28/12.49 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15229), tc_List_Olist(_u15229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15229), tc_List_Olist(_u15229)), _u15230), _u15231)), hAPP(c_List_Olexn(_u15229, _u15232), _u15233))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15229)), _u15231) = _u15233) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u15235 != _u15236) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15234)), _u15235) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15234)), _u15236)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u15237, _u15238) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15237), tc_List_Olist(_u15237), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBS(tc_List_Olist(_u15237), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15237)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15237)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15237))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15237)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBS(tc_List_Olist(_u15237), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15237)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15237)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15237))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15237)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237))), tc_fun(tc_List_Olist(_u15237), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u15237)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15237)), c_member(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237))))), c_Product__Type_OPair(tc_List_Olist(_u15237), tc_List_Olist(_u15237))))), c_List_Olex(_u15237, _u15238))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15239))), c_Enum_Osublists(_u15239, _u15240)) = 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(_u15239)), _u15240))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15241)), c_List_Osublist(_u15241, _u15242, _u15243)) = 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(_u15241)), _u15242)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15243))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u15244, _u15245), hAPP(c_Nat_OSuc, _u15246)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u15244), tc_List_Olist(_u15244)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u15244, tc_List_Olist(_u15244)), tc_prod(_u15244, tc_List_Olist(_u15244))), tc_prod(tc_List_Olist(_u15244), tc_List_Olist(_u15244)), c_Product__Type_Omap__pair(tc_prod(_u15244, tc_List_Olist(_u15244)), tc_List_Olist(_u15244), tc_prod(_u15244, tc_List_Olist(_u15244)), tc_List_Olist(_u15244), hAPP(c_Product__Type_Oprod_Oprod__case(_u15244, tc_List_Olist(_u15244), tc_List_Olist(_u15244)), c_List_Olist_OCons(_u15244)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15244, tc_List_Olist(_u15244), tc_List_Olist(_u15244)), c_List_Olist_OCons(_u15244)))), c_Wellfounded_Olex__prod(_u15244, tc_List_Olist(_u15244), _u15245, hAPP(c_List_Olexn(_u15244, _u15245), _u15246)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15244), tc_List_Olist(_u15244))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15244), tc_List_Olist(_u15244), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15244), tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool)), tc_List_Olist(_u15244)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15244))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15244)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15244), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15244)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15244)))), hAPP(c_Nat_OSuc, _u15246))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15244), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15244)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15244)))), hAPP(c_Nat_OSuc, _u15246))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), _u15253), _u15255)), c_List_Olex(_u15251, _u15257))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), _u15253), _u15255)), c_List_Olexord(_u15251, _u15257))) )).
% 12.28/12.49 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), _u15253), _u15255)), c_List_Olex(_u15251, _u15257))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15251)), _u15253) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15251)), _u15255)) )).
% 12.28/12.49 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15252), tc_List_Olist(_u15252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15252), tc_List_Olist(_u15252)), _u15254), _u15256)), c_List_Olexord(_u15252, _u15258))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15252)), _u15254) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15252)), _u15256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15252), tc_List_Olist(_u15252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15252), tc_List_Olist(_u15252)), _u15254), _u15256)), c_List_Olex(_u15252, _u15258))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15265), tc_List_Olist(_u15265))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15265), tc_List_Olist(_u15265)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15267), _u15269)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15271), _u15273))), c_List_Olexord(_u15265, _u15275))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15265, _u15265)), hAPP(hAPP(c_Product__Type_OPair(_u15265, _u15265), _u15267), _u15271)), _u15275)) | ( _u15267 = _u15271) )).
% 12.28/12.49 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15265), tc_List_Olist(_u15265))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15265), tc_List_Olist(_u15265)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15267), _u15269)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15271), _u15273))), c_List_Olexord(_u15265, _u15275))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15265, _u15265)), hAPP(hAPP(c_Product__Type_OPair(_u15265, _u15265), _u15267), _u15271)), _u15275)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15265), tc_List_Olist(_u15265))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15265), tc_List_Olist(_u15265)), _u15269), _u15273)), c_List_Olexord(_u15265, _u15275))) )).
% 12.28/12.49 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15266), tc_List_Olist(_u15266))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15266), tc_List_Olist(_u15266)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15268), _u15270)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15272), _u15274))), c_List_Olexord(_u15266, _u15276))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15266, _u15266)), hAPP(hAPP(c_Product__Type_OPair(_u15266, _u15266), _u15268), _u15272)), _u15276)) )).
% 12.28/12.49 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15266), tc_List_Olist(_u15266))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15266), tc_List_Olist(_u15266)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15268), _u15270)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15272), _u15274))), c_List_Olexord(_u15266, _u15276))) | ( _u15268 != _u15272) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15266), tc_List_Olist(_u15266))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15266), tc_List_Olist(_u15266)), _u15270), _u15274)), c_List_Olexord(_u15266, _u15276))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 12.28/12.49 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(_u15277)), _u15278)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15277)), _u15279))) | ( _u15278 != hAPP(hAPP(c_List_Olist_OCons(_u15277), _u15280), _u15279)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15288), _u15290) != hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15292), _u15294)) | ( _u15288 = _u15292) )).
% 12.28/12.49 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15288), _u15290) != hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15292), _u15294)) | ( _u15290 = _u15294) )).
% 12.28/12.49 cnf(fact_list_Oinject-3, axiom, ( ( _u15289 != _u15293) | ( _u15291 != _u15295) | ( hAPP(hAPP(c_List_Olist_OCons(_u15287), _u15289), _u15291) = hAPP(hAPP(c_List_Olist_OCons(_u15287), _u15293), _u15295)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15296), _u15297), _u15298) != _u15298) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_not__Cons__self-1, axiom, ( ( _u15299 != hAPP(hAPP(c_List_Olist_OCons(_u15300), _u15301), _u15299)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15302)), hAPP(hAPP(c_List_Olist_OCons(_u15302), _u15303), _u15304)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15302)), _u15304)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15311, _u15311)), hAPP(hAPP(c_Product__Type_OPair(_u15311, _u15311), _u15313), _u15317)), _u15321)) | ( _u15313 = _u15317) )).
% 12.28/12.49 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15311, _u15311)), hAPP(hAPP(c_Product__Type_OPair(_u15311, _u15311), _u15313), _u15317)), _u15321)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), _u15315), _u15319)), c_List_Olex(_u15311, _u15321))) )).
% 12.28/12.49 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15319)) | ( _u15313 = _u15317) )).
% 12.28/12.49 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15319)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), _u15315), _u15319)), c_List_Olex(_u15311, _u15321))) )).
% 12.28/12.49 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15312), tc_List_Olist(_u15312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15312), tc_List_Olist(_u15312)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15314), _u15316)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15318), _u15320))), c_List_Olex(_u15312, _u15322))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15312, _u15312)), hAPP(hAPP(c_Product__Type_OPair(_u15312, _u15312), _u15314), _u15318)), _u15322)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15320)) )).
% 12.28/12.49 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15312), tc_List_Olist(_u15312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15312), tc_List_Olist(_u15312)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15314), _u15316)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15318), _u15320))), c_List_Olex(_u15312, _u15322))) | ( _u15314 != _u15318) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15312), tc_List_Olist(_u15312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15312), tc_List_Olist(_u15312)), _u15316), _u15320)), c_List_Olex(_u15312, _u15322))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u15323, _u15324, _u15325) = hAPP(c_Set_OCollect(tc_List_Olist(_u15323)), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15323)), c_HOL_OEx(_u15323)), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_HOL_Obool), tc_List_Olist(_u15323)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_HOL_Obool, _u15323), c_HOL_OEx(tc_List_Olist(_u15323)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15323), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_fun(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_List_Olist(_u15323)), c_COMBS(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15323, tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_List_Olist(_u15323)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), _u15323), c_COMBS(tc_List_Olist(_u15323), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15323)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15323), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15323)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15323), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323))), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323)), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323))), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_List_Olist(_u15323)), c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323)), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), _u15323)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323)), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_List_Olist(_u15323)), c_COMBB(tc_List_Olist(_u15323), tc_HOL_Obool, tc_List_Olist(_u15323))), c_fequal))), c_List_Olist_OCons(_u15323)))))), hAPP(hAPP(c_COMBC(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), _u15323), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15323))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15323), c_fconj), hAPP(hAPP(c_COMBC(_u15323, tc_fun(_u15323, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15323)), _u15324)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15323), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15323))), _u15325))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15330), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15332), _u15334))) | ( hAPP(c_Random_Opick(_u15332, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15332)), _u15334), _u15336)), _u15330) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15332), _u15334)) )).
% 12.28/12.49 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15331), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15333), _u15335))) | ( hAPP(c_Random_Opick(_u15333, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15333)), _u15335), _u15337)), _u15331) = hAPP(c_Random_Opick(_u15333, _u15337), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15331), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15333), _u15335)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u15338, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15338)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15338), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15339)), _u15340)) = c_Random_Oselect__weight(_u15338, _u15340)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15341, _u15341)), hAPP(hAPP(c_Product__Type_OPair(_u15341, _u15341), _u15342), _u15343)), c_Transitive__Closure_Ortrancl(_u15341, _u15344))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15341), tc_List_Olist(_u15341))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15341), tc_List_Olist(_u15341)), _u15345), _u15346)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15341), c_List_Olistrel1(_u15341, _u15344)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15341), tc_List_Olist(_u15341))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15341), tc_List_Olist(_u15341)), hAPP(hAPP(c_List_Olist_OCons(_u15341), _u15342), _u15345)), hAPP(hAPP(c_List_Olist_OCons(_u15341), _u15343), _u15346))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15341), c_List_Olistrel1(_u15341, _u15344)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15347), _u15348), c_Wellfounded_Oacc(_u15347, _u15349))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15347)), _u15350), c_Wellfounded_Oacc(tc_List_Olist(_u15347), c_List_Olistrel1(_u15347, _u15349)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15347)), hAPP(hAPP(c_List_Olist_OCons(_u15347), _u15348), _u15350)), c_Wellfounded_Oacc(tc_List_Olist(_u15347), c_List_Olistrel1(_u15347, _u15349)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.28/12.49 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(_u15351), tc_List_Olist(_u15351)), tc_HOL_Obool)), c_List_Olistrel1(_u15351, c_Transitive__Closure_Ortrancl(_u15351, _u15352))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15351), c_List_Olistrel1(_u15351, _u15352)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u15353, hAPP(c_Relation_Oconverse(_u15353, _u15353), _u15354)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15353), tc_List_Olist(_u15353)), c_List_Olistrel1(_u15353, _u15354))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15355, _u15355), tc_HOL_Obool)), _u15356), _u15357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), tc_HOL_Obool)), c_List_Olistrel1(_u15355, _u15356)), c_List_Olistrel1(_u15355, _u15357))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15358), tc_List_Olist(_u15358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15358), tc_List_Olist(_u15358)), _u15359), _u15360)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15358), c_List_Olistrel1(_u15358, _u15361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15358), tc_List_Olist(_u15358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15358), tc_List_Olist(_u15358)), hAPP(hAPP(c_List_Olist_OCons(_u15358), _u15362), _u15359)), hAPP(hAPP(c_List_Olist_OCons(_u15358), _u15362), _u15360))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15358), c_List_Olistrel1(_u15358, _u15361)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15363), tc_List_Olist(_u15363))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15363), tc_List_Olist(_u15363)), _u15364), _u15365)), c_List_Olistrel1(_u15363, _u15366))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15363), tc_List_Olist(_u15363))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15363), tc_List_Olist(_u15363)), hAPP(hAPP(c_List_Olist_OCons(_u15363), _u15367), _u15364)), hAPP(hAPP(c_List_Olist_OCons(_u15363), _u15367), _u15365))), c_List_Olistrel1(_u15363, _u15366))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15368), tc_List_Olist(_u15368))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15368), tc_List_Olist(_u15368)), _u15369), _u15370)), c_List_Olistrel1(_u15368, _u15371))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15368)), _u15369) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15368)), _u15370)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15372), tc_List_Olist(_u15372))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15372), tc_List_Olist(_u15372)), _u15373), _u15374)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15372), c_List_Olistrel1(_u15372, _u15375)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15373) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15374)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15380), tc_List_Olist(_u15380))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15380), tc_List_Olist(_u15380)), _u15382), _u15384)), c_List_Olistrel1(_u15380, hAPP(c_Relation_Oconverse(_u15380, _u15380), _u15386)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15380), tc_List_Olist(_u15380))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15380), tc_List_Olist(_u15380)), _u15382), _u15384)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15380), tc_List_Olist(_u15380)), c_List_Olistrel1(_u15380, _u15386)))) )).
% 12.28/12.49 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15381), tc_List_Olist(_u15381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15381), tc_List_Olist(_u15381)), _u15383), _u15385)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15381), tc_List_Olist(_u15381)), c_List_Olistrel1(_u15381, _u15387)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15381), tc_List_Olist(_u15381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15381), tc_List_Olist(_u15381)), _u15383), _u15385)), c_List_Olistrel1(_u15381, hAPP(c_Relation_Oconverse(_u15381, _u15381), _u15387)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15388, _u15388)), hAPP(hAPP(c_Product__Type_OPair(_u15388, _u15388), _u15389), _u15390)), _u15391)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15388), tc_List_Olist(_u15388))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15388), tc_List_Olist(_u15388)), hAPP(hAPP(c_List_Olist_OCons(_u15388), _u15389), _u15392)), hAPP(hAPP(c_List_Olist_OCons(_u15388), _u15390), _u15392))), c_List_Olistrel1(_u15388, _u15391))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15399, _u15399)), hAPP(hAPP(c_Product__Type_OPair(_u15399, _u15399), _u15401), _u15405)), _u15409)) | ( _u15401 = _u15405) )).
% 12.28/12.49 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15399, _u15399)), hAPP(hAPP(c_Product__Type_OPair(_u15399, _u15399), _u15401), _u15405)), _u15409)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), _u15403), _u15407)), c_List_Olistrel1(_u15399, _u15409))) )).
% 12.28/12.49 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | ( _u15403 = _u15407) | ( _u15401 = _u15405) )).
% 12.28/12.49 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | ( _u15403 = _u15407) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), _u15403), _u15407)), c_List_Olistrel1(_u15399, _u15409))) )).
% 12.28/12.49 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15400), tc_List_Olist(_u15400))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15400), tc_List_Olist(_u15400)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15402), _u15404)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15406), _u15408))), c_List_Olistrel1(_u15400, _u15410))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15400, _u15400)), hAPP(hAPP(c_Product__Type_OPair(_u15400, _u15400), _u15402), _u15406)), _u15410)) | ( _u15404 != _u15408) )).
% 12.28/12.49 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15400), tc_List_Olist(_u15400))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15400), tc_List_Olist(_u15400)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15402), _u15404)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15406), _u15408))), c_List_Olistrel1(_u15400, _u15410))) | ( _u15402 != _u15406) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15400), tc_List_Olist(_u15400))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15400), tc_List_Olist(_u15400)), _u15404), _u15408)), c_List_Olistrel1(_u15400, _u15410))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15411, _u15412, hAPP(hAPP(c_List_Olist_OCons(_u15411), _u15413), _u15414)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15412, _u15413)), c_List_Olist_Olist__size(_u15411, _u15412, _u15414))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15415), tc_List_Olist(_u15415), c_List_Olistrel(_u15415, _u15416)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15415)), hAPP(hAPP(c_List_Olist_OCons(_u15415), _u15417), _u15418)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15415), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15415, hAPP(c_Relation_OImage(_u15415, _u15415, _u15416), hAPP(hAPP(c_Set_Oinsert(_u15415), _u15417), c_Orderings_Obot__class_Obot(tc_fun(_u15415, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15415), tc_List_Olist(_u15415), c_List_Olistrel(_u15415, _u15416)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15415)), _u15418), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15415), tc_HOL_Obool)))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15419), tc_List_Olist(_u15419))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15419), tc_List_Olist(_u15419)), _u15420), _u15420)), c_List_Olistrel(_u15419, c_Transitive__Closure_Ortrancl(_u15419, _u15421)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15422, _u15422), tc_HOL_Obool)), _u15423), _u15424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15422), tc_List_Olist(_u15422)), tc_HOL_Obool)), c_List_Olistrel(_u15422, _u15423)), c_List_Olistrel(_u15422, _u15424))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15425), tc_List_Olist(_u15425)), tc_HOL_Obool)), c_List_Olistrel(_u15425, _u15426)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15425), c_List_Olistrel1(_u15425, _u15426)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15427), tc_List_Olist(_u15427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15427), tc_List_Olist(_u15427)), _u15428), _u15429)), c_List_Olistrel(_u15427, _u15430))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15427)), _u15428) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15427)), _u15429)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15431), tc_List_Olist(_u15431))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15431), tc_List_Olist(_u15431)), _u15432), _u15433)), c_List_Olistrel(_u15431, c_Transitive__Closure_Ortrancl(_u15431, _u15434)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15431), tc_List_Olist(_u15431))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15431), tc_List_Olist(_u15431)), _u15433), _u15435)), c_List_Olistrel(_u15431, c_Transitive__Closure_Ortrancl(_u15431, _u15434)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15431), tc_List_Olist(_u15431))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15431), tc_List_Olist(_u15431)), _u15432), _u15435)), c_List_Olistrel(_u15431, c_Transitive__Closure_Ortrancl(_u15431, _u15434)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u15436, c_Transitive__Closure_Ortrancl(_u15436, _u15437)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15436), c_List_Olistrel1(_u15436, _u15437))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15438), tc_List_Olist(_u15438))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15438), tc_List_Olist(_u15438)), _u15439), _u15440)), c_List_Olistrel1(_u15438, _u15441))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15438), tc_List_Olist(_u15438))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15438), tc_List_Olist(_u15438)), _u15439), _u15440)), c_List_Olistrel(_u15438, c_Transitive__Closure_Ortrancl(_u15438, _u15441)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool)), _u15443), _u15444)) | ~c_Relation_Orefl__on(_u15442, c_Orderings_Otop__class_Otop(tc_fun(_u15442, tc_HOL_Obool)), _u15444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15442), tc_List_Olist(_u15442)), tc_HOL_Obool)), c_List_Olistrel1(_u15442, _u15443)), c_List_Olistrel(_u15442, _u15444))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15445), tc_List_Olist(_u15445))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15445), tc_List_Olist(_u15445)), _u15446), _u15447)), c_List_Olistrel(_u15445, _u15448))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15445), tc_List_Olist(_u15445))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15445), tc_List_Olist(_u15445)), _u15446), _u15447)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15445), c_List_Olistrel1(_u15445, _u15448)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15449, _u15449)), hAPP(hAPP(c_Product__Type_OPair(_u15449, _u15449), _u15450), _u15451)), _u15452)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15449), tc_List_Olist(_u15449))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15449), tc_List_Olist(_u15449)), _u15453), _u15454)), c_List_Olistrel(_u15449, _u15452))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15449), tc_List_Olist(_u15449))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15449), tc_List_Olist(_u15449)), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15450), _u15453)), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15451), _u15454))), c_List_Olistrel(_u15449, _u15452))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u15459, hAPP(hAPP(c_COMBC(_u15459, tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_fun(_u15459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15459, tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_fun(_u15459, tc_HOL_Obool)), _u15459), c_COMBC(_u15459, tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15459, tc_prod(_u15459, _u15459)), tc_fun(_u15459, tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool)), _u15459), hAPP(c_COMBB(tc_prod(_u15459, _u15459), tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool), _u15459), c_member(tc_prod(_u15459, _u15459)))), c_Product__Type_OPair(_u15459, _u15459)))), _u15461), _u15463, _u15465) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15459), tc_List_Olist(_u15459))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15459), tc_List_Olist(_u15459)), _u15463), _u15465)), c_List_Olistrel(_u15459, _u15461))) )).
% 12.28/12.49 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15460), tc_List_Olist(_u15460))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15460), tc_List_Olist(_u15460)), _u15464), _u15466)), c_List_Olistrel(_u15460, _u15462))) | c_List_Olistrelp(_u15460, hAPP(hAPP(c_COMBC(_u15460, tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_fun(_u15460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15460, tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_fun(_u15460, tc_HOL_Obool)), _u15460), c_COMBC(_u15460, tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15460, tc_prod(_u15460, _u15460)), tc_fun(_u15460, tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool)), _u15460), hAPP(c_COMBB(tc_prod(_u15460, _u15460), tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool), _u15460), c_member(tc_prod(_u15460, _u15460)))), c_Product__Type_OPair(_u15460, _u15460)))), _u15462), _u15464, _u15466) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), _u15470), hAPP(hAPP(c_List_Olist_OCons(_u15469), _u15471), _u15472))), c_List_Olistrel(_u15469, _u15473))) | ( _u15470 = hAPP(hAPP(c_List_Olist_OCons(_u15469), skolem424(_u15473, _u15472, _u15471, _u15470, _u15469)), skolem425(_u15473, _u15472, _u15471, _u15470, _u15469))) )).
% 12.28/12.49 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), _u15470), hAPP(hAPP(c_List_Olist_OCons(_u15469), _u15471), _u15472))), c_List_Olistrel(_u15469, _u15473))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15469, _u15469)), hAPP(hAPP(c_Product__Type_OPair(_u15469, _u15469), skolem424(_u15473, _u15472, _u15471, _u15470, _u15469)), _u15471)), _u15473)) )).
% 12.28/12.49 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), _u15470), hAPP(hAPP(c_List_Olist_OCons(_u15469), _u15471), _u15472))), c_List_Olistrel(_u15469, _u15473))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), skolem425(_u15473, _u15472, _u15471, _u15470, _u15469)), _u15472)), c_List_Olistrel(_u15469, _u15473))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15474, _u15475), _u15476)) | ~c_List_Olistrelp(_u15477, _u15474, _u15478, _u15479) | c_List_Olistrelp(_u15477, _u15474, hAPP(hAPP(c_List_Olist_OCons(_u15477), _u15475), _u15478), hAPP(hAPP(c_List_Olist_OCons(_u15477), _u15476), _u15479)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u15486, _u15488, hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15490), _u15492), hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15494), _u15496)) | hBOOL(hAPP(hAPP(_u15488, _u15490), _u15494)) )).
% 12.28/12.49 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u15486, _u15488, hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15490), _u15492), hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15494), _u15496)) | c_List_Olistrelp(_u15486, _u15488, _u15492, _u15496) )).
% 12.28/12.49 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15489, _u15491), _u15495)) | ~c_List_Olistrelp(_u15487, _u15489, _u15493, _u15497) | c_List_Olistrelp(_u15487, _u15489, hAPP(hAPP(c_List_Olist_OCons(_u15487), _u15491), _u15493), hAPP(hAPP(c_List_Olist_OCons(_u15487), _u15495), _u15497)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), hAPP(hAPP(c_List_Olist_OCons(_u15500), _u15501), _u15502)), _u15503)), c_List_Olistrel(_u15500, _u15504))) | ( _u15503 = hAPP(hAPP(c_List_Olist_OCons(_u15500), skolem426(_u15504, _u15503, _u15502, _u15501, _u15500)), skolem427(_u15504, _u15503, _u15502, _u15501, _u15500))) )).
% 12.28/12.49 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), hAPP(hAPP(c_List_Olist_OCons(_u15500), _u15501), _u15502)), _u15503)), c_List_Olistrel(_u15500, _u15504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15500, _u15500)), hAPP(hAPP(c_Product__Type_OPair(_u15500, _u15500), _u15501), skolem426(_u15504, _u15503, _u15502, _u15501, _u15500))), _u15504)) )).
% 12.28/12.49 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), hAPP(hAPP(c_List_Olist_OCons(_u15500), _u15501), _u15502)), _u15503)), c_List_Olistrel(_u15500, _u15504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), _u15502), skolem427(_u15504, _u15503, _u15502, _u15501, _u15500))), c_List_Olistrel(_u15500, _u15504))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15505, _u15505), tc_HOL_Obool)), _u15506), hAPP(hAPP(c_Product__Type_OSigma(_u15505, _u15505), _u15507), hAPP(c_COMBK(tc_fun(_u15505, tc_HOL_Obool), _u15505), _u15507)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15505), tc_List_Olist(_u15505)), tc_HOL_Obool)), c_List_Olistrel(_u15505, _u15506)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15505), tc_List_Olist(_u15505)), c_List_Olists(_u15505, _u15507)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15505), tc_HOL_Obool), tc_List_Olist(_u15505)), c_List_Olists(_u15505, _u15507))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u15508, c_Orderings_Otop__class_Otop(tc_fun(_u15508, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15508), tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15509, tc_HOL_Obool)), _u15510), _u15511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15509), tc_HOL_Obool)), c_List_Olists(_u15509, _u15510)), c_List_Olists(_u15509, _u15511))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15512, _u15513, _u15514) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15512), c_List_Olists(_u15512, _u15513), c_List_Olistrel(_u15512, _u15514)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u15515, _u15516, _u15517) | c_Relation_Orefl__on(tc_List_Olist(_u15515), c_List_Olists(_u15515, _u15516), c_List_Olistrel(_u15515, _u15517)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15522)), hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), _u15526)), c_List_Olists(_u15522, _u15528))) | hBOOL(hAPP(hAPP(c_member(_u15522), _u15524), _u15528)) )).
% 12.28/12.49 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15522)), hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), _u15526)), c_List_Olists(_u15522, _u15528))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15522)), _u15526), c_List_Olists(_u15522, _u15528))) )).
% 12.28/12.49 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15523), _u15525), _u15529)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15523)), _u15527), c_List_Olists(_u15523, _u15529))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15523)), hAPP(hAPP(c_List_Olist_OCons(_u15523), _u15525), _u15527)), c_List_Olists(_u15523, _u15529))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15530)), _u15531), c_Wellfounded_Oacc(tc_List_Olist(_u15530), c_List_Olistrel1(_u15530, _u15532)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15530)), _u15531), c_List_Olists(_u15530, c_Wellfounded_Oacc(_u15530, _u15532)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15533)), _u15534), c_List_Olists(_u15533, c_Wellfounded_Oacc(_u15533, _u15535)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15533)), _u15534), c_Wellfounded_Oacc(tc_List_Olist(_u15533), c_List_Olistrel1(_u15533, _u15535)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15542), tc_List_Olist(_u15542))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15542), tc_List_Olist(_u15542)), _u15544), _u15546)), c_List_Olistrel(_u15542, _u15548))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15544) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15546)) )).
% 12.28/12.49 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15542), tc_List_Olist(_u15542))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15542), tc_List_Olist(_u15542)), _u15544), _u15546)), c_List_Olistrel(_u15542, _u15548))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15536), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15544))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), hAPP(hAPP(c_List_Onth(_u15542), _u15544), _u15536)), hAPP(hAPP(c_List_Onth(_u15542), _u15546), _u15536))), _u15548)) )).
% 12.28/12.49 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15543), tc_List_Olist(_u15543))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15543), tc_List_Olist(_u15543)), _u15545), _u15547)), c_List_Olistrel(_u15543, _u15549))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15545) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem428(_u15549, _u15547, _u15545, _u15543)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15545))) )).
% 12.28/12.49 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15543), tc_List_Olist(_u15543))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15543), tc_List_Olist(_u15543)), _u15545), _u15547)), c_List_Olistrel(_u15543, _u15549))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15545) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15547)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15543, _u15543)), hAPP(hAPP(c_Product__Type_OPair(_u15543, _u15543), hAPP(hAPP(c_List_Onth(_u15543), _u15545), skolem428(_u15549, _u15547, _u15545, _u15543))), hAPP(hAPP(c_List_Onth(_u15543), _u15547), skolem428(_u15549, _u15547, _u15545, _u15543)))), _u15549)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15551, _u15551)), hAPP(hAPP(c_Product__Type_OPair(_u15551, _u15551), skolem429(_u15553, _u15552, _u15551)), skolem429(_u15553, _u15552, _u15551))), _u15552)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15551), tc_List_Olist(_u15551))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15551), tc_List_Olist(_u15551)), _u15553), _u15553)), c_List_Olexord(_u15551, _u15552))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15554), hAPP(hAPP(c_List_Olist_OCons(_u15554), _u15555), _u15556)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15555) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15557), hAPP(hAPP(c_List_Olist_OCons(_u15557), _u15558), _u15559)), hAPP(c_Nat_OSuc, _u15560)) = hAPP(hAPP(c_List_Onth(_u15557), _u15559), _u15560)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15566 != _u15568) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15570)), _u15566) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15570)), _u15568)) )).
% 12.28/12.49 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15566 != _u15568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15561), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15570)), _u15566))) | ( hAPP(hAPP(c_List_Onth(_u15570), _u15566), _u15561) = hAPP(hAPP(c_List_Onth(_u15570), _u15568), _u15561)) )).
% 12.28/12.49 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15567 = _u15569) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15567) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u15571, _u15569, _u15567)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15567))) )).
% 12.28/12.49 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15567 = _u15569) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15567) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15569)) | ( hAPP(hAPP(c_List_Onth(_u15571), _u15567), skolem430(_u15571, _u15569, _u15567)) != hAPP(hAPP(c_List_Onth(_u15571), _u15569), skolem430(_u15571, _u15569, _u15567))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15572)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15572), tc_HOL_Obool)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15573), hAPP(hAPP(c_List_Olist_OCons(_u15573), _u15574), _u15575)), _u15576) = c_Nat_Onat_Onat__case(_u15573, _u15574, hAPP(c_List_Onth(_u15573), _u15575), _u15576)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15581 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15583), hAPP(hAPP(c_List_Olist_OCons(_u15583), _u15585), _u15587)), _u15581) = _u15585) )).
% 12.28/12.49 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15582 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15584), hAPP(hAPP(c_List_Olist_OCons(_u15584), _u15586), _u15588)), _u15582) = hAPP(hAPP(c_List_Onth(_u15584), _u15588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15582), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15593) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15595), hAPP(hAPP(c_List_Olist_OCons(_u15595), _u15597), _u15599)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15593)) = _u15597) )).
% 12.28/12.49 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15594) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15596), hAPP(hAPP(c_List_Olist_OCons(_u15596), _u15598), _u15600)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15594)) = hAPP(hAPP(c_List_Onth(_u15596), _u15600), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15594)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u15613, _u15611, _u15609, _u15607)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611)))) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611))) | ( hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15609) = hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15611)) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15607, _u15607)), hAPP(hAPP(c_Product__Type_OPair(_u15607, _u15607), hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem431(_u15613, _u15611, _u15609, _u15607))), hAPP(hAPP(c_List_Onth(_u15607), _u15611), skolem431(_u15613, _u15611, _u15609, _u15607)))), _u15613)) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | ( hAPP(hAPP(c_List_Otake(_u15607), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), _u15611) = _u15609) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u15613, _u15611, _u15609, _u15607)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611)))) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | ( hAPP(hAPP(c_List_Otake(_u15607), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), _u15611) = _u15609) | ( hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15609) = hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15611)) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | ( hAPP(hAPP(c_List_Otake(_u15607), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), _u15611) = _u15609) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15607, _u15607)), hAPP(hAPP(c_Product__Type_OPair(_u15607, _u15607), hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem431(_u15613, _u15611, _u15609, _u15607))), hAPP(hAPP(c_List_Onth(_u15607), _u15611), skolem431(_u15613, _u15611, _u15609, _u15607)))), _u15613)) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15608), tc_List_Olist(_u15608))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15608), tc_List_Olist(_u15608)), _u15610), _u15612)), c_List_Olexord(_u15608, _u15614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15610)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15612))) | ( hAPP(hAPP(c_List_Otake(_u15608), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15610)), _u15612) != _u15610) )).
% 12.28/12.49 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15608), tc_List_Olist(_u15608))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15608), tc_List_Olist(_u15608)), _u15610), _u15612)), c_List_Olexord(_u15608, _u15614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15602), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15610)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15612)))) | ( hAPP(hAPP(c_List_Otake(_u15608), _u15602), _u15610) != hAPP(hAPP(c_List_Otake(_u15608), _u15602), _u15612)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15608, _u15608)), hAPP(hAPP(c_Product__Type_OPair(_u15608, _u15608), hAPP(hAPP(c_List_Onth(_u15608), _u15610), _u15602)), hAPP(hAPP(c_List_Onth(_u15608), _u15612), _u15602))), _u15614)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15619), _u15620)), c_List_Olexord(_u15617, _u15618))) | ( _u15619 = _u15620) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15620), _u15619)), c_List_Olexord(_u15617, _u15618))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15617, _u15617)), hAPP(hAPP(c_Product__Type_OPair(_u15617, _u15617), skolem432(_u15620, _u15619, _u15618, _u15617)), skolem433(_u15620, _u15619, _u15618, _u15617))), _u15618)) )).
% 12.28/12.49 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15619), _u15620)), c_List_Olexord(_u15617, _u15618))) | ( _u15619 = _u15620) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15620), _u15619)), c_List_Olexord(_u15617, _u15618))) | ( skolem432(_u15620, _u15619, _u15618, _u15617) != skolem433(_u15620, _u15619, _u15618, _u15617)) )).
% 12.28/12.49 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15619), _u15620)), c_List_Olexord(_u15617, _u15618))) | ( _u15619 = _u15620) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15620), _u15619)), c_List_Olexord(_u15617, _u15618))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15617, _u15617)), hAPP(hAPP(c_Product__Type_OPair(_u15617, _u15617), skolem433(_u15620, _u15619, _u15618, _u15617)), skolem432(_u15620, _u15619, _u15618, _u15617))), _u15618)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__all ( axiom ) converted to clauses:
% 12.28/12.49 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(_u15621)), _u15622)), _u15623)) | ( hAPP(hAPP(c_List_Otake(_u15621), _u15623), _u15622) = _u15622) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15624), _u15625)) | ( hAPP(hAPP(c_List_Onth(_u15626), hAPP(hAPP(c_List_Otake(_u15626), _u15625), _u15627)), _u15624) = hAPP(hAPP(c_List_Onth(_u15626), _u15627), _u15624)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15628, _u15629, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15630)) = hAPP(hAPP(c_List_Otake(_u15628), _u15630), _u15629)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15631), _u15632), hAPP(hAPP(c_List_Otake(_u15631), _u15633), _u15634)) = hAPP(hAPP(c_List_Otake(_u15631), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15632), _u15633)), _u15634)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15635)), hAPP(hAPP(c_List_Otake(_u15635), _u15636), _u15637)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15635)), _u15637)), _u15636)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15638), hAPP(c_Nat_OSuc, _u15639)), hAPP(hAPP(c_List_Olist_OCons(_u15638), _u15640), _u15641)) = hAPP(hAPP(c_List_Olist_OCons(_u15638), _u15640), hAPP(hAPP(c_List_Otake(_u15638), _u15639), _u15641))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15642), _u15643)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15642)), hAPP(c_Set_OCollect(tc_List_Olist(_u15642)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15642), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15642)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15642), tc_fun(_u15642, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15642, tc_HOL_Obool), tc_fun(tc_fun(_u15642, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15642)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15642, tc_HOL_Obool))), c_List_Oset(_u15642))), _u15643))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15642), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15642)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15642)))), _u15644))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15645), c_List_Osublist(_u15645, _u15646, _u15647)) = hAPP(c_Set_OCollect(_u15645), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15645), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15645, 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)), _u15645), 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)), _u15645), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15645, tc_fun(tc_Nat_Onat, _u15645), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15645, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15645), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15645), c_COMBB(_u15645, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15645), _u15646))))), 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(_u15645)), _u15646)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15647)))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15648), hAPP(c_List_Oset(_u15648), _u15649))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15650, tc_HOL_Obool)), hAPP(c_List_Oset(_u15650), hAPP(hAPP(c_List_Otake(_u15650), _u15651), _u15652))), hAPP(c_List_Oset(_u15650), _u15652))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15653), _u15654), hAPP(c_List_Oset(_u15653), hAPP(hAPP(c_List_Otake(_u15653), _u15655), _u15656)))) | hBOOL(hAPP(hAPP(c_member(_u15653), _u15654), hAPP(c_List_Oset(_u15653), _u15656))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15657), hAPP(hAPP(c_List_Olist_OCons(_u15657), _u15658), _u15659)) = hAPP(hAPP(c_Set_Oinsert(_u15657), _u15658), hAPP(c_List_Oset(_u15657), _u15659))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15660), _u15661), hAPP(c_List_Oset(_u15660), hAPP(hAPP(c_List_Olist_OCons(_u15660), _u15662), _u15663)))) | ( _u15661 = _u15662) | hBOOL(hAPP(hAPP(c_member(_u15660), _u15661), hAPP(c_List_Oset(_u15660), _u15663))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15664), _u15665), hAPP(c_List_Oset(_u15664), _u15666))) | ~hBOOL(hAPP(hAPP(c_member(_u15664), _u15665), hAPP(c_List_Oset(_u15664), c_List_Osublist(_u15664, _u15666, _u15667)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15668), _u15669), hAPP(c_List_Oset(_u15668), c_List_Osublist(_u15668, _u15670, _u15671)))) | hBOOL(hAPP(hAPP(c_member(_u15668), _u15669), hAPP(c_List_Oset(_u15668), _u15670))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u15672), tc_fun(_u15672, tc_HOL_Obool), c_List_Oset(_u15672)), hAPP(c_List_Oset(tc_List_Olist(_u15672)), c_Enum_Osublists(_u15672, _u15673))) = hAPP(c_Set_OPow(_u15672), hAPP(c_List_Oset(_u15672), _u15673))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15674, tc_HOL_Obool)), hAPP(c_List_Oset(_u15674), _u15675)), hAPP(c_List_Oset(_u15674), hAPP(hAPP(c_List_Olist_OCons(_u15674), _u15676), _u15675)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15677, tc_HOL_Obool)), hAPP(c_List_Oset(_u15677), c_List_Osublist(_u15677, _u15678, _u15679))), hAPP(c_List_Oset(_u15677), _u15678))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_card__length ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15680), hAPP(c_List_Oset(_u15680), _u15681))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15680)), _u15681))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15683), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15689)), _u15691))) | hBOOL(hAPP(_u15693, hAPP(hAPP(c_List_Onth(_u15689), _u15691), _u15683))) | hBOOL(hAPP(hAPP(c_member(_u15689), skolem434(_u15693, _u15691, _u15689)), hAPP(c_List_Oset(_u15689), _u15691))) )).
% 12.28/12.49 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15683), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15689)), _u15691))) | hBOOL(hAPP(_u15693, hAPP(hAPP(c_List_Onth(_u15689), _u15691), _u15683))) | ~hBOOL(hAPP(_u15693, skolem434(_u15693, _u15691, _u15689))) )).
% 12.28/12.49 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15690), _u15685), hAPP(c_List_Oset(_u15690), _u15692))) | hBOOL(hAPP(_u15694, _u15685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem435(_u15694, _u15692, _u15690)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15690)), _u15692))) )).
% 12.28/12.49 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15690), _u15685), hAPP(c_List_Oset(_u15690), _u15692))) | hBOOL(hAPP(_u15694, _u15685)) | ~hBOOL(hAPP(_u15694, hAPP(hAPP(c_List_Onth(_u15690), _u15692), skolem435(_u15694, _u15692, _u15690)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15695), _u15696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15697, tc_HOL_Obool)), hAPP(c_List_Oset(_u15697), hAPP(hAPP(c_List_Otake(_u15697), _u15695), _u15698))), hAPP(c_List_Oset(_u15697), hAPP(hAPP(c_List_Otake(_u15697), _u15696), _u15698)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15699), _u15700), hAPP(c_List_Oset(_u15699), _u15701))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15702), hAPP(_u15703, _u15700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15702), c_List_Olist_Olist__size(_u15699, _u15703, _u15701))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15704), _u15705), hAPP(c_List_Oset(_u15704), _u15706))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15707), hAPP(_u15708, _u15705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15707), c_List_Olist_Olist__size(_u15704, _u15708, _u15706))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15714)), _u15716), c_List_Olists(_u15714, _u15718))) | ~hBOOL(hAPP(hAPP(c_member(_u15714), _u15709), hAPP(c_List_Oset(_u15714), _u15716))) | hBOOL(hAPP(hAPP(c_member(_u15714), _u15709), _u15718)) )).
% 12.28/12.49 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15715)), _u15717), c_List_Olists(_u15715, _u15719))) | hBOOL(hAPP(hAPP(c_member(_u15715), skolem436(_u15719, _u15717, _u15715)), hAPP(c_List_Oset(_u15715), _u15717))) )).
% 12.28/12.49 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15715)), _u15717), c_List_Olists(_u15715, _u15719))) | ~hBOOL(hAPP(hAPP(c_member(_u15715), skolem436(_u15719, _u15717, _u15715)), _u15719)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15720), _u15721), hAPP(c_List_Oset(_u15720), _u15722))) | 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(_u15720)), _u15722))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15728), _u15730), hAPP(c_List_Oset(_u15728), _u15732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem437(_u15732, _u15730, _u15728)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15728)), _u15732))) )).
% 12.28/12.49 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15728), _u15730), hAPP(c_List_Oset(_u15728), _u15732))) | ( hAPP(hAPP(c_List_Onth(_u15728), _u15732), skolem437(_u15732, _u15730, _u15728)) = _u15730) )).
% 12.28/12.49 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15729)), _u15733))) | ( hAPP(hAPP(c_List_Onth(_u15729), _u15733), _u15724) != _u15731) | hBOOL(hAPP(hAPP(c_member(_u15729), _u15731), hAPP(c_List_Oset(_u15729), _u15733))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15734), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15735)), _u15736))) | hBOOL(hAPP(hAPP(c_member(_u15735), hAPP(hAPP(c_List_Onth(_u15735), _u15736), _u15734)), hAPP(c_List_Oset(_u15735), _u15736))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u15737, _u15738) = hAPP(c_Set_OCollect(tc_List_Olist(_u15737)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15737), tc_fun(_u15737, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15737, tc_HOL_Obool), tc_fun(tc_fun(_u15737, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15737)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15737, tc_HOL_Obool))), c_List_Oset(_u15737))), _u15738))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u15739), _u15740) = hAPP(c_Set_OCollect(_u15739), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15739), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15739, 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)), _u15739), 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)), _u15739), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15739, tc_fun(tc_Nat_Onat, _u15739), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15739, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15739), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15739), c_COMBB(_u15739, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15739), _u15740))))), 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(_u15739)), _u15740)))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15741), _u15742)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15741)), hAPP(c_Set_OCollect(tc_List_Olist(_u15741)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15741), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15741)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15741), tc_fun(_u15741, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15741, tc_HOL_Obool), tc_fun(tc_fun(_u15741, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15741)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15741, tc_HOL_Obool))), c_List_Oset(_u15741))), _u15742))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15741), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15741)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15741)))), _u15743))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15750), tc_List_Olist(_u15750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15750), tc_List_Olist(_u15750)), _u15752), _u15754)), c_List_Olistrel(_u15750, _u15756))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15750)), _u15752) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15750)), _u15754)) )).
% 12.28/12.49 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15750), tc_List_Olist(_u15750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15750), tc_List_Olist(_u15750)), _u15752), _u15754)), c_List_Olistrel(_u15750, _u15756))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15750, _u15750)), _u15744), hAPP(c_List_Oset(tc_prod(_u15750, _u15750)), hAPP(hAPP(c_List_Ozip(_u15750, _u15750), _u15752), _u15754)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15750, _u15750, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15750, tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_fun(_u15750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15750, tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_fun(_u15750, tc_HOL_Obool)), _u15750), c_COMBC(_u15750, tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15750, tc_prod(_u15750, _u15750)), tc_fun(_u15750, tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool)), _u15750), hAPP(c_COMBB(tc_prod(_u15750, _u15750), tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool), _u15750), c_member(tc_prod(_u15750, _u15750)))), c_Product__Type_OPair(_u15750, _u15750)))), _u15756)), _u15744)) )).
% 12.28/12.49 cnf(fact_listrel__iff__zip-3, 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)), _u15753), _u15755)), c_List_Olistrel(_u15751, _u15757))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15753) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15755)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15751, _u15751)), skolem438(_u15757, _u15755, _u15753, _u15751)), hAPP(c_List_Oset(tc_prod(_u15751, _u15751)), hAPP(hAPP(c_List_Ozip(_u15751, _u15751), _u15753), _u15755)))) )).
% 12.28/12.49 cnf(fact_listrel__iff__zip-4, 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)), _u15753), _u15755)), c_List_Olistrel(_u15751, _u15757))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15753) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15755)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15751, _u15751, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15751, tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_fun(_u15751, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15751, tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_fun(_u15751, tc_HOL_Obool)), _u15751), c_COMBC(_u15751, tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15751, tc_prod(_u15751, _u15751)), tc_fun(_u15751, tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool)), _u15751), hAPP(c_COMBB(tc_prod(_u15751, _u15751), tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool), _u15751), c_member(tc_prod(_u15751, _u15751)))), c_Product__Type_OPair(_u15751, _u15751)))), _u15757)), skolem438(_u15757, _u15755, _u15753, _u15751))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u15758)), c_Enum_On__lists(_u15758, _u15759, _u15760)) = hAPP(c_Set_OCollect(tc_List_Olist(_u15758)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15758), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15758)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15758), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15758)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15758)))), _u15759))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15758), tc_fun(_u15758, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15758, tc_HOL_Obool), tc_fun(tc_fun(_u15758, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15758)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15758, tc_HOL_Obool))), c_List_Oset(_u15758))), hAPP(c_List_Oset(_u15758), _u15760))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15761, _u15762))), hAPP(hAPP(c_List_Ozip(_u15761, _u15762), _u15763), _u15764)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15761)), _u15763)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15762)), _u15764))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15765, _u15766)), _u15767), hAPP(hAPP(c_List_Ozip(_u15765, _u15766), _u15768), _u15769)) = hAPP(hAPP(c_List_Ozip(_u15765, _u15766), hAPP(hAPP(c_List_Otake(_u15765), _u15767), _u15768)), hAPP(hAPP(c_List_Otake(_u15766), _u15767), _u15769))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15770, _u15771), hAPP(hAPP(c_List_Olist_OCons(_u15770), _u15772), _u15773)), hAPP(hAPP(c_List_Olist_OCons(_u15771), _u15774), _u15775)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15770, _u15771)), hAPP(hAPP(c_Product__Type_OPair(_u15770, _u15771), _u15772), _u15774)), hAPP(hAPP(c_List_Ozip(_u15770, _u15771), _u15773), _u15775))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u15781 != _u15783) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15785)), _u15781) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15785)), _u15783)) )).
% 12.28/12.49 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u15781 != _u15783) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15785, _u15785)), _u15776), hAPP(c_List_Oset(tc_prod(_u15785, _u15785)), hAPP(hAPP(c_List_Ozip(_u15785, _u15785), _u15781), _u15783)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15785, _u15785, tc_HOL_Obool), c_fequal), _u15776)) )).
% 12.28/12.49 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u15782 = _u15784) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15784)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15786, _u15786)), skolem439(_u15786, _u15784, _u15782)), hAPP(c_List_Oset(tc_prod(_u15786, _u15786)), hAPP(hAPP(c_List_Ozip(_u15786, _u15786), _u15782), _u15784)))) )).
% 12.28/12.49 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u15782 = _u15784) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15784)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15786, _u15786, tc_HOL_Obool), c_fequal), skolem439(_u15786, _u15784, _u15782))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_Product__Type_OPair(_u15791, _u15791), _u15793), _u15795)), hAPP(c_List_Oset(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_List_Ozip(_u15791, _u15791), _u15797), _u15797)))) | hBOOL(hAPP(hAPP(c_member(_u15791), _u15793), hAPP(c_List_Oset(_u15791), _u15797))) )).
% 12.28/12.49 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_Product__Type_OPair(_u15791, _u15791), _u15793), _u15795)), hAPP(c_List_Oset(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_List_Ozip(_u15791, _u15791), _u15797), _u15797)))) | ( _u15793 = _u15795) )).
% 12.28/12.49 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15792), _u15794), hAPP(c_List_Oset(_u15792), _u15798))) | ( _u15794 != _u15796) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15792, _u15792)), hAPP(hAPP(c_Product__Type_OPair(_u15792, _u15792), _u15794), _u15796)), hAPP(c_List_Oset(tc_prod(_u15792, _u15792)), hAPP(hAPP(c_List_Ozip(_u15792, _u15792), _u15798), _u15798)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15799, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15799, _u15800), _u15801), _u15802)), hAPP(c_List_Oset(tc_prod(_u15799, _u15800)), hAPP(hAPP(c_List_Ozip(_u15799, _u15800), _u15803), _u15804)))) | hBOOL(hAPP(hAPP(c_member(_u15799), _u15801), hAPP(c_List_Oset(_u15799), _u15803))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15806), _u15808), hAPP(c_List_Oset(_u15806), _u15810))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15806)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15806), _u15807), _u15808)), hAPP(c_List_Oset(tc_prod(_u15805, _u15806)), hAPP(hAPP(c_List_Ozip(_u15805, _u15806), _u15809), _u15810)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_Product__Type_OPair(_u15811, _u15812), _u15813), _u15814)), hAPP(c_List_Oset(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_List_Ozip(_u15811, _u15812), _u15815), _u15816)))) | hBOOL(hAPP(hAPP(c_member(_u15811), _u15813), hAPP(c_List_Oset(_u15811), _u15815))) )).
% 12.28/12.49 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_Product__Type_OPair(_u15811, _u15812), _u15813), _u15814)), hAPP(c_List_Oset(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_List_Ozip(_u15811, _u15812), _u15815), _u15816)))) | hBOOL(hAPP(hAPP(c_member(_u15812), _u15814), hAPP(c_List_Oset(_u15812), _u15816))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15817), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15818)), _u15819))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15817), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15820)), _u15821))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15818, _u15820)), hAPP(hAPP(c_List_Ozip(_u15818, _u15820), _u15819), _u15821)), _u15817) = hAPP(hAPP(c_Product__Type_OPair(_u15818, _u15820), hAPP(hAPP(c_List_Onth(_u15818), _u15819), _u15817)), hAPP(hAPP(c_List_Onth(_u15820), _u15821), _u15817))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15822)), _u15823), hAPP(c_List_Oset(tc_List_Olist(_u15822)), c_Enum_On__lists(_u15822, _u15824, _u15825)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15822)), _u15823) = _u15824) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15826))), c_Enum_On__lists(_u15826, _u15827, _u15828)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15826)), _u15828)), _u15827)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15829, _u15830)), hAPP(hAPP(c_List_Ozip(_u15829, _u15830), _u15831), _u15832)) = hAPP(c_Set_OCollect(tc_prod(_u15829, _u15830)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15829, _u15830)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15829, _u15830), 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(_u15829, _u15830)), 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(_u15829, _u15830)), 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(_u15829, _u15830), tc_fun(tc_Nat_Onat, tc_prod(_u15829, _u15830)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15829, _u15830), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15829, _u15830)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15829, _u15830)), c_COMBB(tc_prod(_u15829, _u15830), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15830, tc_prod(_u15829, _u15830)), hAPP(hAPP(c_COMBB(_u15829, tc_fun(_u15830, tc_prod(_u15829, _u15830)), tc_Nat_Onat), c_Product__Type_OPair(_u15829, _u15830)), hAPP(c_List_Onth(_u15829), _u15831))), hAPP(c_List_Onth(_u15830), _u15832)))))), 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(_u15829)), _u15831)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15830)), _u15832))))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15833, _u15834)), c_Enum_Oproduct(_u15833, _u15834, _u15835, _u15836)) = hAPP(hAPP(c_Product__Type_OSigma(_u15833, _u15834), hAPP(c_List_Oset(_u15833), _u15835)), hAPP(c_COMBK(tc_fun(_u15834, tc_HOL_Obool), _u15833), hAPP(c_List_Oset(_u15834), _u15836)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15837, _u15838) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15837), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15838), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15839, _u15840)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15839, _u15840)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15841, _u15842) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15841, _u15842))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15843), _u15844) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15843, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15844), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15845, _u15846) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15845), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15846))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u15848) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15848)) )).
% 12.28/12.49 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15849)) | c_List_Onat__list(_u15849) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15850) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15850), _u15851) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15850), hAPP(c_List_Onth(_u15850), _u15851)), 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(_u15850)), _u15851)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15855) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15852), hAPP(c_List_Oset(tc_Nat_Onat), _u15855))) | ( _u15852 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15856) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem440(_u15856)), hAPP(c_List_Oset(tc_Nat_Onat), _u15856))) )).
% 12.28/12.49 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15856) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem440(_u15856) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15857) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15857), hAPP(hAPP(c_List_Olist_OCons(_u15857), _u15858), _u15859)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15857), _u15858), hAPP(c_List_Omonoid__add__class_Olistsum(_u15857), _u15859))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15860), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15861), _u15860)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15861))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15863, _u15865, _u15864)), c_List_Olist_Olist__size(_u15863, _u15866, _u15864))) | hBOOL(hAPP(hAPP(c_member(_u15863), skolem441(_u15866, _u15865, _u15864, _u15863)), hAPP(c_List_Oset(_u15863), _u15864))) )).
% 12.28/12.49 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15863, _u15865, _u15864)), c_List_Olist_Olist__size(_u15863, _u15866, _u15864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15865, skolem441(_u15866, _u15865, _u15864, _u15863))), hAPP(_u15866, skolem441(_u15866, _u15865, _u15864, _u15863)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15867), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15868)), _u15869))) | ( c_List_Obutlast(_u15868, hAPP(hAPP(c_List_Otake(_u15868), _u15867), _u15869)) = hAPP(hAPP(c_List_Otake(_u15868), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15867), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15869)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15870), _u15871), hAPP(c_List_Oset(_u15870), c_List_Obutlast(_u15870, _u15872)))) | hBOOL(hAPP(hAPP(c_member(_u15870), _u15871), hAPP(c_List_Oset(_u15870), _u15872))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15874)), _u15875))) | ( hAPP(hAPP(c_List_Otake(_u15874), _u15873), c_List_Obutlast(_u15874, _u15875)) = hAPP(hAPP(c_List_Otake(_u15874), _u15873), _u15875)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15876)), c_List_Obutlast(_u15876, _u15877)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15876)), _u15877)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15878, _u15879) = hAPP(hAPP(c_List_Otake(_u15878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15878)), _u15879)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15879)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15880), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15881))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15881), _u15880), _u15882)) = 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), _u15881)), _u15882)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15881), _u15880))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15886))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15887))) | ( hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15886) = hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem442(_u15887, _u15886, _u15885, _u15884)), _u15884)) )).
% 12.28/12.49 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15886))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15887))) | ( hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15886) = hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15887)) | ( hAPP(hAPP(c_List_Onth(_u15885), _u15886), skolem442(_u15887, _u15886, _u15885, _u15884)) != hAPP(hAPP(c_List_Onth(_u15885), _u15887), skolem442(_u15887, _u15886, _u15885, _u15884))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 12.28/12.49 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(_u15888)), _u15889)), _u15890)) | ( hAPP(hAPP(c_List_Olist__update(_u15888, _u15889), _u15890), _u15891) = _u15889) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u15892 = _u15893) | ( hAPP(hAPP(c_List_Onth(_u15894), hAPP(hAPP(c_List_Olist__update(_u15894, _u15895), _u15892), _u15896)), _u15893) = hAPP(hAPP(c_List_Onth(_u15894), _u15895), _u15893)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15897, _u15898), _u15899), hAPP(hAPP(c_List_Onth(_u15897), _u15898), _u15899)) = _u15898) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15900)), hAPP(hAPP(c_List_Olist__update(_u15900, _u15901), _u15902), _u15903)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15900)), _u15901)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15904, hAPP(hAPP(c_List_Olist_OCons(_u15904), _u15905), _u15906)), _u15907), _u15908) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15904), hAPP(hAPP(c_List_Olist_OCons(_u15904), _u15908), _u15906), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15904), tc_List_Olist(_u15904), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15904), _u15905)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15904, tc_List_Olist(_u15904)), c_List_Olist__update(_u15904, _u15906)), _u15908)), _u15907)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15909, hAPP(hAPP(c_List_Olist_OCons(_u15909), _u15910), _u15911)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15912) = hAPP(hAPP(c_List_Olist_OCons(_u15909), _u15912), _u15911)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15913, hAPP(hAPP(c_List_Olist_OCons(_u15913), _u15914), _u15915)), hAPP(c_Nat_OSuc, _u15916)), _u15917) = hAPP(hAPP(c_List_Olist_OCons(_u15913), _u15914), hAPP(hAPP(c_List_Olist__update(_u15913, _u15915), _u15916), _u15917))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15918, hAPP(hAPP(c_List_Olist__update(_u15918, _u15919), _u15920), _u15921)), _u15920), _u15922) = hAPP(hAPP(c_List_Olist__update(_u15918, _u15919), _u15920), _u15922)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__swap-1, axiom, ( ( _u15923 = _u15924) | ( hAPP(hAPP(c_List_Olist__update(_u15925, hAPP(hAPP(c_List_Olist__update(_u15925, _u15926), _u15923), _u15927)), _u15924), _u15928) = hAPP(hAPP(c_List_Olist__update(_u15925, hAPP(hAPP(c_List_Olist__update(_u15925, _u15926), _u15924), _u15928)), _u15923), _u15927)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15929, _u15930), hAPP(hAPP(c_List_Ozip(_u15929, _u15930), _u15931), _u15932)), _u15933), _u15934) = hAPP(hAPP(c_List_Ozip(_u15929, _u15930), hAPP(hAPP(c_List_Olist__update(_u15929, _u15931), _u15933), hAPP(c_Product__Type_Ofst(_u15929, _u15930), _u15934))), hAPP(hAPP(c_List_Olist__update(_u15930, _u15932), _u15933), hAPP(c_Product__Type_Osnd(_u15929, _u15930), _u15934)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15935, _u15936), hAPP(hAPP(c_List_Olist__update(_u15935, _u15937), _u15938), _u15939)), hAPP(hAPP(c_List_Olist__update(_u15936, _u15940), _u15938), _u15941)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15935, _u15936), hAPP(hAPP(c_List_Ozip(_u15935, _u15936), _u15937), _u15940)), _u15938), hAPP(hAPP(c_Product__Type_OPair(_u15935, _u15936), _u15939), _u15941))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15942, tc_HOL_Obool)), hAPP(c_List_Oset(_u15942), _u15943)), _u15944)) | ~hBOOL(hAPP(hAPP(c_member(_u15942), _u15945), _u15944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15942, tc_HOL_Obool)), hAPP(c_List_Oset(_u15942), hAPP(hAPP(c_List_Olist__update(_u15942, _u15943), _u15946), _u15945))), _u15944)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15947, tc_HOL_Obool)), hAPP(c_List_Oset(_u15947), hAPP(hAPP(c_List_Olist__update(_u15947, _u15948), _u15949), _u15950))), hAPP(hAPP(c_Set_Oinsert(_u15947), _u15950), hAPP(c_List_Oset(_u15947), _u15948)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15951), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15952)), _u15953))) | ( hAPP(hAPP(c_List_Onth(_u15952), hAPP(hAPP(c_List_Olist__update(_u15952, _u15953), _u15951), _u15954)), _u15951) = _u15954) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15955), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15956)), _u15957))) | ( hAPP(hAPP(c_List_Olist__update(_u15956, _u15957), _u15955), _u15958) != _u15957) | ( hAPP(hAPP(c_List_Onth(_u15956), _u15957), _u15955) = _u15958) )).
% 12.28/12.49 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15955), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15956)), _u15957))) | ( hAPP(hAPP(c_List_Onth(_u15956), _u15957), _u15955) != _u15958) | ( hAPP(hAPP(c_List_Olist__update(_u15956, _u15957), _u15955), _u15958) = _u15957) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15959), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15960)), _u15961))) | ( _u15959 != _u15962) | ( hAPP(hAPP(c_List_Onth(_u15960), hAPP(hAPP(c_List_Olist__update(_u15960, _u15961), _u15959), _u15963)), _u15962) = _u15963) )).
% 12.28/12.49 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15959), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15960)), _u15961))) | ( _u15959 = _u15962) | ( hAPP(hAPP(c_List_Onth(_u15960), hAPP(hAPP(c_List_Olist__update(_u15960, _u15961), _u15959), _u15963)), _u15962) = hAPP(hAPP(c_List_Onth(_u15960), _u15961), _u15962)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15964), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15965)), _u15966))) | hBOOL(hAPP(hAPP(c_member(_u15965), _u15967), hAPP(c_List_Oset(_u15965), hAPP(hAPP(c_List_Olist__update(_u15965, _u15966), _u15964), _u15967)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast__list__update-1, axiom, ( ( _u15972 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15974)), _u15976)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15974, hAPP(hAPP(c_List_Olist__update(_u15974, _u15976), _u15972), _u15978)) = c_List_Obutlast(_u15974, _u15976)) )).
% 12.28/12.49 cnf(fact_butlast__list__update-2, axiom, ( ( _u15973 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15975)), _u15977)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15975, hAPP(hAPP(c_List_Olist__update(_u15975, _u15977), _u15973), _u15979)) = hAPP(hAPP(c_List_Olist__update(_u15975, c_List_Obutlast(_u15975, _u15977)), _u15973), _u15979)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15988), tc_List_Olist(_u15988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15988), tc_List_Olist(_u15988)), _u15990), _u15992)), c_List_Olistrel1(_u15988, _u15994))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15988, _u15988)), hAPP(hAPP(c_Product__Type_OPair(_u15988, _u15988), hAPP(hAPP(c_List_Onth(_u15988), _u15990), skolem444(_u15994, _u15992, _u15990, _u15988))), skolem443(_u15994, _u15992, _u15990, _u15988))), _u15994)) )).
% 12.28/12.49 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15988), tc_List_Olist(_u15988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15988), tc_List_Olist(_u15988)), _u15990), _u15992)), c_List_Olistrel1(_u15988, _u15994))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem444(_u15994, _u15992, _u15990, _u15988)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15988)), _u15990))) )).
% 12.28/12.49 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15988), tc_List_Olist(_u15988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15988), tc_List_Olist(_u15988)), _u15990), _u15992)), c_List_Olistrel1(_u15988, _u15994))) | ( _u15992 = hAPP(hAPP(c_List_Olist__update(_u15988, _u15990), skolem444(_u15994, _u15992, _u15990, _u15988)), skolem443(_u15994, _u15992, _u15990, _u15988))) )).
% 12.28/12.49 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15989, _u15989)), hAPP(hAPP(c_Product__Type_OPair(_u15989, _u15989), hAPP(hAPP(c_List_Onth(_u15989), _u15991), _u15982)), _u15983)), _u15995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15982), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15989)), _u15991))) | ( _u15993 != hAPP(hAPP(c_List_Olist__update(_u15989, _u15991), _u15982), _u15983)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15989), tc_List_Olist(_u15989))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15989), tc_List_Olist(_u15989)), _u15991), _u15993)), c_List_Olistrel1(_u15989, _u15995))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15996), _u15997)) | hBOOL(hAPP(hAPP(c_member(_u15996), _u15998), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15996, tc_HOL_Obool)), hAPP(c_List_Oset(_u15996), _u15997)), hAPP(hAPP(c_Set_Oinsert(_u15996), hAPP(hAPP(c_List_Onth(_u15996), _u15997), _u15999)), c_Orderings_Obot__class_Obot(tc_fun(_u15996, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15996), hAPP(hAPP(c_List_Olist__update(_u15996, _u15997), _u15999), _u15998))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16000), _u16001)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16000)), c_Enum_On__lists(_u16000, _u16002, _u16001))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16003), _u16004)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16003, _u16005)), hAPP(hAPP(c_List_Ozip(_u16003, _u16005), _u16004), _u16006))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16007), _u16008)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16009, _u16007)), hAPP(hAPP(c_List_Ozip(_u16009, _u16007), _u16010), _u16008))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16011), _u16012)) | hBOOL(hAPP(c_List_Odistinct(_u16011), c_List_Osublist(_u16011, _u16012, _u16013))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16014), _u16015)) | ~hBOOL(hAPP(c_List_Odistinct(_u16016), _u16017)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16014, _u16016)), c_Enum_Oproduct(_u16014, _u16016, _u16015, _u16017))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u16018, _u16019))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16020), _u16021)) | hBOOL(hAPP(c_List_Odistinct(_u16020), hAPP(hAPP(c_List_Otake(_u16020), _u16022), _u16021))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16026), hAPP(hAPP(c_List_Olist_OCons(_u16026), _u16028), _u16030))) | ~hBOOL(hAPP(hAPP(c_member(_u16026), _u16028), hAPP(c_List_Oset(_u16026), _u16030))) )).
% 12.28/12.49 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16026), hAPP(hAPP(c_List_Olist_OCons(_u16026), _u16028), _u16030))) | hBOOL(hAPP(c_List_Odistinct(_u16026), _u16030)) )).
% 12.28/12.49 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16027), _u16029), hAPP(c_List_Oset(_u16027), _u16031))) | ~hBOOL(hAPP(c_List_Odistinct(_u16027), _u16031)) | hBOOL(hAPP(c_List_Odistinct(_u16027), hAPP(hAPP(c_List_Olist_OCons(_u16027), _u16029), _u16031))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u16032), hAPP(c_List_Oset(_u16032), _u16033)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16032)), _u16033)) | hBOOL(hAPP(c_List_Odistinct(_u16032), _u16033)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16034), _u16035)) | ( hAPP(c_Finite__Set_Ocard(_u16034), hAPP(c_List_Oset(_u16034), _u16035)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16034)), _u16035)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16036), _u16037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16038), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16039), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ( hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16038) != hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16039)) | ( _u16038 = _u16039) )).
% 12.28/12.49 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16036), _u16037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16038), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16039), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ( _u16038 != _u16039) | ( hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16038) = hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16039)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16046), _u16048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16041), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16040), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048))) | ( _u16041 = _u16040) | ( hAPP(hAPP(c_List_Onth(_u16046), _u16048), _u16041) != hAPP(hAPP(c_List_Onth(_u16046), _u16048), _u16040)) )).
% 12.28/12.49 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem445(_u16049, _u16047)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16047)), _u16049))) )).
% 12.28/12.49 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u16049, _u16047)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16047)), _u16049))) )).
% 12.28/12.49 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | ( skolem445(_u16049, _u16047) != skolem446(_u16049, _u16047)) )).
% 12.28/12.49 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | ( hAPP(hAPP(c_List_Onth(_u16047), _u16049), skolem445(_u16049, _u16047)) = hAPP(hAPP(c_List_Onth(_u16047), _u16049), skolem446(_u16049, _u16047))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16050) | ~hBOOL(hAPP(c_List_Odistinct(_u16050), _u16051)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16050), _u16051) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16050, _u16050), c_COMBI(_u16050)), hAPP(c_List_Oset(_u16050), _u16051))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16054), _u16056)) | ( c_Nitpick_Ocard_H(_u16054, _u16056) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16054)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16054), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16054), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16054)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16054), tc_fun(_u16054, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16054, tc_HOL_Obool), tc_fun(tc_fun(_u16054, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16054)), c_fequal), c_List_Oset(_u16054))), _u16056))), c_List_Odistinct(_u16054))))) )).
% 12.28/12.49 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16055), _u16057)) | ( c_Nitpick_Ocard_H(_u16055, _u16057) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16058), _u16059)) | ( hAPP(c_List_Oset(_u16058), c_List_Oremove1(_u16058, _u16060, _u16059)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16058, tc_HOL_Obool)), hAPP(c_List_Oset(_u16058), _u16059)), hAPP(hAPP(c_Set_Oinsert(_u16058), _u16060), c_Orderings_Obot__class_Obot(tc_fun(_u16058, tc_HOL_Obool))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16061), _u16062)) | hBOOL(hAPP(c_List_Odistinct(_u16061), c_List_Oremove1(_u16061, _u16063, _u16062))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u16068 != _u16070) | ( c_List_Oremove1(_u16072, _u16068, hAPP(hAPP(c_List_Olist_OCons(_u16072), _u16070), _u16074)) = _u16074) )).
% 12.28/12.49 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u16069 = _u16071) | ( c_List_Oremove1(_u16073, _u16069, hAPP(hAPP(c_List_Olist_OCons(_u16073), _u16071), _u16075)) = hAPP(hAPP(c_List_Olist_OCons(_u16073), _u16071), c_List_Oremove1(_u16073, _u16069, _u16075))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u16076, _u16077, c_List_Oremove1(_u16076, _u16078, _u16079)) = c_List_Oremove1(_u16076, _u16078, c_List_Oremove1(_u16076, _u16077, _u16079))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16080), _u16081), hAPP(c_List_Oset(_u16080), _u16082))) | ( c_List_Oremove1(_u16080, _u16081, _u16082) = _u16082) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16083), _u16084), hAPP(c_List_Oset(_u16083), _u16085))) | ~hBOOL(hAPP(hAPP(c_member(_u16083), _u16084), hAPP(c_List_Oset(_u16083), c_List_Oremove1(_u16083, _u16086, _u16085)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__remove1-1, axiom, ( ( _u16087 = _u16088) | ~hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), c_List_Oremove1(_u16089, _u16088, _u16090)))) | hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), _u16090))) )).
% 12.28/12.49 cnf(fact_in__set__remove1-2, axiom, ( ( _u16087 = _u16088) | ~hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), _u16090))) | hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), c_List_Oremove1(_u16089, _u16088, _u16090)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16091, tc_HOL_Obool)), hAPP(c_List_Oset(_u16091), c_List_Oremove1(_u16091, _u16092, _u16093))), hAPP(c_List_Oset(_u16091), _u16093))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16097), _u16099), hAPP(c_List_Oset(_u16097), _u16101))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16097)), c_List_Oremove1(_u16097, _u16099, _u16101)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16097)), _u16101)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.49 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16098), _u16100), hAPP(c_List_Oset(_u16098), _u16102))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16098)), c_List_Oremove1(_u16098, _u16100, _u16102)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16098)), _u16102)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u16103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16103), _u16104)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16103, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16103, tc_HOL_Obool)), _u16104), hAPP(hAPP(c_Set_Oinsert(_u16103), _u16105), c_Orderings_Obot__class_Obot(tc_fun(_u16103, tc_HOL_Obool))))) = c_List_Oremove1(_u16103, _u16105, c_List_Olinorder__class_Osorted__list__of__set(_u16103, _u16104))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16110) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16112), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16110)), hAPP(hAPP(c_List_Olist_OCons(_u16112), _u16114), _u16116)) = c_List_Olist_ONil(_u16112)) )).
% 12.28/12.49 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16111) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16113), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16111)), hAPP(hAPP(c_List_Olist_OCons(_u16113), _u16115), _u16117)) = hAPP(hAPP(c_List_Olist_OCons(_u16113), _u16115), hAPP(hAPP(c_List_Otake(_u16113), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16111)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16117))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16118)), c_List_Olist_ONil(_u16118)), c_List_Olists(_u16118, _u16119))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16120), tc_List_Olist(_u16120))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16120), tc_List_Olist(_u16120)), _u16121), c_List_Olist_ONil(_u16120))), c_List_Olistrel(_u16120, _u16122))) | ( _u16121 = c_List_Olist_ONil(_u16120)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16123), tc_List_Olist(_u16123))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16123), tc_List_Olist(_u16123)), c_List_Olist_ONil(_u16123)), _u16124)), c_List_Olistrel(_u16123, _u16125))) | ( _u16124 = c_List_Olist_ONil(_u16123)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16126), c_List_Olist_ONil(_u16126))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__butlast-1, axiom, ( ( _u16127 = c_List_Olist_ONil(_u16128)) | ~hBOOL(hAPP(c_List_Odistinct(_u16128), _u16127)) | hBOOL(hAPP(c_List_Odistinct(_u16128), c_List_Obutlast(_u16128, _u16127))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u16129, _u16130, c_List_Olist_ONil(_u16129)) = c_List_Olist_ONil(_u16129)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16131, _u16132), c_List_Olist_ONil(_u16131)), _u16133) = c_List_Olist_ONil(tc_prod(_u16131, _u16132))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16134, _u16135), _u16136), c_List_Olist_ONil(_u16135)) = c_List_Olist_ONil(tc_prod(_u16134, _u16135))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u16137) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16137, c_Orderings_Obot__class_Obot(tc_fun(_u16137, tc_HOL_Obool))) = c_List_Olist_ONil(_u16137)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u16138, c_List_Olist_ONil(_u16138), _u16139) = c_List_Olist_ONil(_u16138)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u16140, _u16141, c_List_Olist_ONil(_u16140), c_List_Olist_ONil(_u16140)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u16142, _u16143, c_List_Olist_ONil(_u16142), c_List_Olist_ONil(_u16142)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u16144, _u16145, c_List_Olist_ONil(_u16144)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u16146), _u16147)) | ( c_List_Oupto(_u16147, _u16146) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u16148, _u16149, c_List_Olist_ONil(_u16148), _u16150) = c_List_Olist_ONil(tc_prod(_u16148, _u16149))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u16151) != hAPP(hAPP(c_List_Olist_OCons(_u16151), _u16152), _u16153)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16154), _u16155), _u16156) != c_List_Olist_ONil(_u16154)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u16157, c_List_Olist_ONil(_u16157)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16157)), c_List_Olist_ONil(_u16157)), c_List_Olist_ONil(tc_List_Olist(_u16157)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16158), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16159) = c_List_Olist_ONil(_u16158)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16163), _u16165), _u16167) != c_List_Olist_ONil(_u16163)) | ( _u16165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16167 = c_List_Olist_ONil(_u16163)) )).
% 12.28/12.49 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16164), _u16166), _u16168) = c_List_Olist_ONil(_u16164)) | ( _u16166 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16164), _u16166), _u16168) = c_List_Olist_ONil(_u16164)) | ( _u16168 != c_List_Olist_ONil(_u16164)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16169), _u16170), c_List_Olist_ONil(_u16169)) = c_List_Olist_ONil(_u16169)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_n__lists__Nil-1, axiom, ( ( _u16173 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16175, _u16173, c_List_Olist_ONil(_u16175)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16175)), c_List_Olist_ONil(_u16175)), c_List_Olist_ONil(tc_List_Olist(_u16175)))) )).
% 12.28/12.49 cnf(fact_n__lists__Nil-2, axiom, ( ( _u16174 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16176, _u16174, c_List_Olist_ONil(_u16176)) = c_List_Olist_ONil(tc_List_Olist(_u16176))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u16177, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16178) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16177)), c_List_Olist_ONil(_u16177)), c_List_Olist_ONil(tc_List_Olist(_u16177)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u16181), _u16183) != c_Orderings_Obot__class_Obot(tc_fun(_u16181, tc_HOL_Obool))) | ( _u16183 = c_List_Olist_ONil(_u16181)) )).
% 12.28/12.49 cnf(fact_set__empty-2, axiom, ( ( _u16184 != c_List_Olist_ONil(_u16182)) | ( hAPP(c_List_Oset(_u16182), _u16184) = c_Orderings_Obot__class_Obot(tc_fun(_u16182, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u16187, tc_HOL_Obool)) != hAPP(c_List_Oset(_u16187), _u16189)) | ( _u16189 = c_List_Olist_ONil(_u16187)) )).
% 12.28/12.49 cnf(fact_set__empty2-2, axiom, ( ( _u16190 != c_List_Olist_ONil(_u16188)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u16188, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16188), _u16190)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u16191), c_List_Olist_ONil(_u16191)) = c_Orderings_Obot__class_Obot(tc_fun(_u16191, tc_HOL_Obool))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u16195 != c_List_Olist_ONil(_u16197)) | ( c_List_Obutlast(_u16197, hAPP(hAPP(c_List_Olist_OCons(_u16197), _u16199), _u16195)) = c_List_Olist_ONil(_u16197)) )).
% 12.28/12.49 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u16196 = c_List_Olist_ONil(_u16198)) | ( c_List_Obutlast(_u16198, hAPP(hAPP(c_List_Olist_OCons(_u16198), _u16200), _u16196)) = hAPP(hAPP(c_List_Olist_OCons(_u16198), _u16200), c_List_Obutlast(_u16198, _u16196))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16203)), _u16205) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16205 = c_List_Olist_ONil(_u16203)) )).
% 12.28/12.49 cnf(fact_length__0__conv-2, axiom, ( ( _u16206 != c_List_Olist_ONil(_u16204)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16204)), _u16206) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16207)), c_List_Olist_ONil(_u16207)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u16208, c_List_Olist_ONil(_u16208)) = c_List_Olist_ONil(_u16208)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u16209) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16209), c_List_Olist_ONil(_u16209)) = c_Groups_Ozero__class_Ozero(_u16209)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16210, c_List_Olist_ONil(_u16210)), _u16211), _u16212) = c_List_Olist_ONil(_u16210)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16213, c_List_Olist_ONil(_u16213)), _u16214), _u16215) = c_List_Olist_ONil(_u16213)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16220, _u16222), _u16224), _u16226) != c_List_Olist_ONil(_u16220)) | ( _u16222 = c_List_Olist_ONil(_u16220)) )).
% 12.28/12.49 cnf(fact_list__update__nonempty-2, axiom, ( ( _u16223 != c_List_Olist_ONil(_u16221)) | ( hAPP(hAPP(c_List_Olist__update(_u16221, _u16223), _u16225), _u16227) = c_List_Olist_ONil(_u16221)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u16228, _u16229, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u16228)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 12.28/12.49 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(_u16232)), _u16234))) | ( _u16234 != c_List_Olist_ONil(_u16232)) )).
% 12.28/12.49 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u16235 = c_List_Olist_ONil(_u16233)) | 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(_u16233)), _u16235))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16236), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16236), _u16237), _u16238)) = hAPP(hAPP(c_List_Olist_OCons(_u16236), _u16237), c_List_Olist_ONil(_u16236))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16239), tc_List_Olist(_u16239))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16239), tc_List_Olist(_u16239)), c_List_Olist_ONil(_u16239)), _u16240)), c_List_Olistrel1(_u16239, _u16241))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16242), tc_List_Olist(_u16242))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16242), tc_List_Olist(_u16242)), _u16243), c_List_Olist_ONil(_u16242))), c_List_Olistrel1(_u16242, _u16244))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16245), tc_List_Olist(_u16245))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16245), tc_List_Olist(_u16245)), c_List_Olist_ONil(_u16245)), c_List_Olist_ONil(_u16245))), c_List_Olistrel(_u16245, _u16246))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), c_List_Olist_ONil(_u16247))), c_List_Olexord(_u16247, _u16249))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16250), tc_List_Olist(_u16250))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16250), tc_List_Olist(_u16250)), _u16251), c_List_Olist_ONil(_u16250))), c_List_Olex(_u16250, _u16252))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16253), tc_List_Olist(_u16253))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16253), tc_List_Olist(_u16253)), c_List_Olist_ONil(_u16253)), _u16254)), c_List_Olex(_u16253, _u16255))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16256), _u16257), hAPP(hAPP(c_List_Olist_OCons(_u16256), _u16258), _u16259)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16256), c_List_Olist_ONil(_u16256), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16256), tc_List_Olist(_u16256), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16256), _u16258)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16256), tc_List_Olist(_u16256)), c_List_Otake(_u16256)), _u16259)), _u16257)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16262), _u16264)) | ( c_List_Oupto(_u16262, _u16264) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16262), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16262), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16264))) )).
% 12.28/12.49 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16263), _u16265)) | ( c_List_Oupto(_u16263, _u16265) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16269)) | ( c_List_Osublist(_u16271, hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), c_List_Olist_ONil(_u16271)), _u16269) = hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), c_List_Olist_ONil(_u16271))) )).
% 12.28/12.49 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16270)) | ( c_List_Osublist(_u16272, hAPP(hAPP(c_List_Olist_OCons(_u16272), _u16274), c_List_Olist_ONil(_u16272)), _u16270) = c_List_Olist_ONil(_u16272)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u16275, c_Orderings_Obot__class_Obot(tc_fun(_u16275, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16275)), c_List_Olist_ONil(_u16275)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16275), tc_HOL_Obool)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__Cons_H-1, axiom, ( ( _u16280 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16282), _u16280), hAPP(hAPP(c_List_Olist_OCons(_u16282), _u16284), _u16286)) = c_List_Olist_ONil(_u16282)) )).
% 12.28/12.49 cnf(fact_take__Cons_H-2, axiom, ( ( _u16281 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16283), _u16281), hAPP(hAPP(c_List_Olist_OCons(_u16283), _u16285), _u16287)) = hAPP(hAPP(c_List_Olist_OCons(_u16283), _u16285), hAPP(hAPP(c_List_Otake(_u16283), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16281), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16287))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 12.28/12.49 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), _u16290)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16292))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16292)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16292)))) )).
% 12.28/12.49 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), _u16291)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16293))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16291), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16293)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16294), tc_List_Olist(_u16294), c_List_Olistrel(_u16294, _u16295)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16294)), c_List_Olist_ONil(_u16294)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16294), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16294)), c_List_Olist_ONil(_u16294)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16294), tc_HOL_Obool)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u16296, _u16297, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16296)), c_List_Olist_ONil(_u16296)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16296), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u16296, tc_List_Olist(_u16296), hAPP(hAPP(c_COMBC(_u16296, tc_List_Olist(_u16296), tc_List_Olist(_u16296)), c_List_Olist_OCons(_u16296)), c_List_Olist_ONil(_u16296))), _u16297)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 12.28/12.49 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), _u16298), _u16299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16298), _u16299)) | ( c_List_Oupto(_u16298, _u16299) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16298), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16298), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16299))) )).
% 12.28/12.49 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), _u16298), _u16299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16298), _u16299)) | ( c_List_Oupto(_u16298, _u16299) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_select ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_select-1, axiom, ( ( _u16300 = c_List_Olist_ONil(_u16301)) | hBOOL(hAPP(hAPP(c_member(_u16301), hAPP(c_Product__Type_Ofst(_u16301, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u16301, _u16300), _u16302))), hAPP(c_List_Oset(_u16301), _u16300))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u16303, c_List_Olist_ONil(tc_fun(_u16303, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16303)), c_List_Olist_ONil(_u16303)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16303), tc_HOL_Obool)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16304, _u16305), _u16306), hAPP(hAPP(c_List_Olist_OCons(_u16305), _u16307), _u16308)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16304, _u16305)), _u16304, c_List_Olist_ONil(tc_prod(_u16304, _u16305)), hAPP(hAPP(c_COMBC(_u16304, tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305))), tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(tc_prod(_u16304, _u16305))), tc_fun(tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305))), tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305)))), _u16304), c_COMBB(tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(_u16304))), hAPP(hAPP(c_COMBB(tc_prod(_u16304, _u16305), tc_fun(tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(tc_prod(_u16304, _u16305))), _u16304), c_List_Olist_OCons(tc_prod(_u16304, _u16305))), hAPP(hAPP(c_COMBC(_u16304, _u16305, tc_prod(_u16304, _u16305)), c_Product__Type_OPair(_u16304, _u16305)), _u16307)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16304), tc_List_Olist(_u16305), tc_List_Olist(tc_prod(_u16304, _u16305))), c_List_Ozip(_u16304, _u16305)), _u16308))), _u16306)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16309, _u16310, _u16311, _u16312), hAPP(hAPP(c_List_Olist_OCons(_u16310), _u16313), _u16314)) = hAPP(hAPP(_u16312, _u16313), _u16314)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16315, _u16316, _u16317, _u16318), c_List_Olist_ONil(_u16316)) = _u16317) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u16319, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16319, tc_HOL_Obool)), _u16320), _u16321)) = c_List_Oset__Cons(_u16319, _u16320, c_List_Olistset(_u16319, _u16321))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16322, _u16323), hAPP(hAPP(c_List_Olist_OCons(_u16322), _u16324), _u16325)), _u16326) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16322, _u16323)), _u16323, c_List_Olist_ONil(tc_prod(_u16322, _u16323)), hAPP(hAPP(c_COMBC(_u16323, tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323))), tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(tc_prod(_u16322, _u16323))), tc_fun(tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323))), tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323)))), _u16323), c_COMBB(tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(_u16323))), hAPP(hAPP(c_COMBB(tc_prod(_u16322, _u16323), tc_fun(tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(tc_prod(_u16322, _u16323))), _u16323), c_List_Olist_OCons(tc_prod(_u16322, _u16323))), hAPP(c_Product__Type_OPair(_u16322, _u16323), _u16324)))), hAPP(c_List_Ozip(_u16322, _u16323), _u16325))), _u16326)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 12.28/12.49 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), _u16329), _u16330))) | hBOOL(hAPP(hAPP(_u16331, _u16329), _u16330)) | 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), skolem447(_u16331, _u16330, _u16329)), skolem448(_u16331, _u16330, _u16329)))) )).
% 12.28/12.49 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), _u16329), _u16330))) | hBOOL(hAPP(hAPP(_u16331, _u16329), _u16330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem447(_u16331, _u16330, _u16329)), skolem448(_u16331, _u16330, _u16329))) | hBOOL(hAPP(hAPP(_u16331, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem447(_u16331, _u16330, _u16329)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem448(_u16331, _u16330, _u16329))) )).
% 12.28/12.49 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), _u16329), _u16330))) | hBOOL(hAPP(hAPP(_u16331, _u16329), _u16330)) | ~hBOOL(hAPP(hAPP(_u16331, skolem447(_u16331, _u16330, _u16329)), skolem448(_u16331, _u16330, _u16329))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u16337 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16339, _u16341, _u16343), _u16337), _u16345) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16341), _u16339), c_List_Olist_ONil(_u16341)), _u16345)) )).
% 12.28/12.49 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u16338 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16340, _u16342, _u16344), _u16338), _u16346) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(_u16342, _u16340), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16342), _u16340), c_List_Olist_ONil(_u16342)), _u16346), hAPP(c_Product__Type_Oprod_Oprod__case(_u16342, _u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), hAPP(hAPP(c_COMBC(_u16342, tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(tc_List_Olist(_u16342), _u16340)), tc_fun(tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), _u16342), c_COMBB(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(tc_List_Olist(_u16342), _u16340), _u16340)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16342), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), tc_fun(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(tc_List_Olist(_u16342), _u16340)), _u16342), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16342), _u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16342), tc_List_Olist(_u16342)), tc_fun(tc_List_Olist(_u16342), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), _u16342), hAPP(c_COMBB(tc_List_Olist(_u16342), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), tc_List_Olist(_u16342)), c_Product__Type_OPair(tc_List_Olist(_u16342), _u16340))), c_List_Olist_OCons(_u16342))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16340, _u16342, _u16344), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16338), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16344, _u16346))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u16347, hAPP(hAPP(c_List_Olist_OCons(_u16347), _u16348), _u16349), _u16350) = hAPP(hAPP(c_List_Oappend(_u16347), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16347)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16350)), hAPP(hAPP(c_List_Olist_OCons(_u16347), _u16348), c_List_Olist_ONil(_u16347))), c_List_Olist_ONil(_u16347))), c_List_Osublist(_u16347, _u16349, 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)), _u16350))))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), _u16359), _u16363)), c_List_Olistrel1(_u16357, _u16367))) | ( _u16359 = _u16363) )).
% 12.28/12.49 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), _u16359), _u16363)), c_List_Olistrel1(_u16357, _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16357, _u16357)), hAPP(hAPP(c_Product__Type_OPair(_u16357, _u16357), _u16361), _u16365)), _u16367)) )).
% 12.28/12.49 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | ( _u16361 = _u16365) | ( _u16359 = _u16363) )).
% 12.28/12.49 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | ( _u16361 = _u16365) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16357, _u16357)), hAPP(hAPP(c_Product__Type_OPair(_u16357, _u16357), _u16361), _u16365)), _u16367)) )).
% 12.28/12.49 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16358), tc_List_Olist(_u16358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16358), tc_List_Olist(_u16358)), hAPP(hAPP(c_List_Oappend(_u16358), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16362), c_List_Olist_ONil(_u16358)))), hAPP(hAPP(c_List_Oappend(_u16358), _u16364), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16366), c_List_Olist_ONil(_u16358))))), c_List_Olistrel1(_u16358, _u16368))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16358), tc_List_Olist(_u16358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16358), tc_List_Olist(_u16358)), _u16360), _u16364)), c_List_Olistrel1(_u16358, _u16368))) | ( _u16362 != _u16366) )).
% 12.28/12.49 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16358), tc_List_Olist(_u16358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16358), tc_List_Olist(_u16358)), hAPP(hAPP(c_List_Oappend(_u16358), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16362), c_List_Olist_ONil(_u16358)))), hAPP(hAPP(c_List_Oappend(_u16358), _u16364), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16366), c_List_Olist_ONil(_u16358))))), c_List_Olistrel1(_u16358, _u16368))) | ( _u16360 != _u16364) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16358, _u16358)), hAPP(hAPP(c_Product__Type_OPair(_u16358, _u16358), _u16362), _u16366)), _u16368)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16378 = c_List_Olist_ONil(_u16376)) | ( _u16378 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376))) )).
% 12.28/12.49 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16378 = c_List_Olist_ONil(_u16376)) | ( hAPP(hAPP(c_List_Oappend(_u16376), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376)), _u16380) = _u16384) )).
% 12.28/12.49 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16380 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16378 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376))) )).
% 12.28/12.49 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16380 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( hAPP(hAPP(c_List_Oappend(_u16376), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376)), _u16380) = _u16384) )).
% 12.28/12.49 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16377), _u16379), _u16381) = hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16385)) | ( _u16379 != c_List_Olist_ONil(_u16377)) | ( _u16381 != hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16385)) )).
% 12.28/12.49 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16377), _u16379), _u16381) = hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16385)) | ( _u16379 != hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16370)) | ( hAPP(hAPP(c_List_Oappend(_u16377), _u16370), _u16381) != _u16385) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( _u16399 = c_List_Olist_ONil(_u16393)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)) = _u16399) )).
% 12.28/12.49 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( _u16399 = c_List_Olist_ONil(_u16393)) | ( _u16397 = hAPP(hAPP(c_List_Oappend(_u16393), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)), _u16401)) )).
% 12.28/12.49 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) = _u16401) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)) = _u16399) )).
% 12.28/12.49 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) = _u16401) | ( _u16397 = hAPP(hAPP(c_List_Oappend(_u16393), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)), _u16401)) )).
% 12.28/12.49 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16398) = hAPP(hAPP(c_List_Oappend(_u16394), _u16400), _u16402)) | ( _u16400 != c_List_Olist_ONil(_u16394)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16398) != _u16402) )).
% 12.28/12.49 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16398) = hAPP(hAPP(c_List_Oappend(_u16394), _u16400), _u16402)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16387) != _u16400) | ( _u16398 != hAPP(hAPP(c_List_Oappend(_u16394), _u16387), _u16402)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16408), _u16410), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16412), c_List_Olist_ONil(_u16408))) != hAPP(hAPP(c_List_Oappend(_u16408), _u16414), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16416), c_List_Olist_ONil(_u16408)))) | ( _u16410 = _u16414) )).
% 12.28/12.49 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16408), _u16410), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16412), c_List_Olist_ONil(_u16408))) != hAPP(hAPP(c_List_Oappend(_u16408), _u16414), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16416), c_List_Olist_ONil(_u16408)))) | ( _u16412 = _u16416) )).
% 12.28/12.49 cnf(fact_append1__eq__conv-3, axiom, ( ( _u16411 != _u16415) | ( _u16413 != _u16417) | ( hAPP(hAPP(c_List_Oappend(_u16409), _u16411), hAPP(hAPP(c_List_Olist_OCons(_u16409), _u16413), c_List_Olist_ONil(_u16409))) = hAPP(hAPP(c_List_Oappend(_u16409), _u16415), hAPP(hAPP(c_List_Olist_OCons(_u16409), _u16417), c_List_Olist_ONil(_u16409)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16418), hAPP(hAPP(c_List_Olist_OCons(_u16418), _u16419), _u16420)), _u16421) = hAPP(hAPP(c_List_Olist_OCons(_u16418), _u16419), hAPP(hAPP(c_List_Oappend(_u16418), _u16420), _u16421))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16422), _u16423), _u16424) != _u16425) | ( _u16426 != hAPP(hAPP(c_List_Oappend(_u16422), _u16424), _u16427)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16422), _u16423), _u16426) = hAPP(hAPP(c_List_Oappend(_u16422), _u16425), _u16427)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), hAPP(hAPP(c_List_Oappend(_u16432), _u16434), _u16436)), c_List_Olists(_u16432, _u16438))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), _u16434), c_List_Olists(_u16432, _u16438))) )).
% 12.28/12.49 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), hAPP(hAPP(c_List_Oappend(_u16432), _u16434), _u16436)), c_List_Olists(_u16432, _u16438))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), _u16436), c_List_Olists(_u16432, _u16438))) )).
% 12.28/12.49 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16433)), _u16435), c_List_Olists(_u16433, _u16439))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16433)), _u16437), c_List_Olists(_u16433, _u16439))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16433)), hAPP(hAPP(c_List_Oappend(_u16433), _u16435), _u16437)), c_List_Olists(_u16433, _u16439))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16440), _u16441), _u16442) != _u16443) | ( _u16444 != hAPP(hAPP(c_List_Oappend(_u16440), _u16442), _u16445)) | ( hAPP(hAPP(c_List_Oappend(_u16440), _u16441), _u16444) = hAPP(hAPP(c_List_Oappend(_u16440), _u16443), _u16445)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__same__eq-1, axiom, ( ( _u16452 = _u16456) | ( hAPP(hAPP(c_List_Oappend(_u16450), _u16452), _u16454) != hAPP(hAPP(c_List_Oappend(_u16450), _u16456), _u16454)) )).
% 12.28/12.49 cnf(fact_append__same__eq-2, axiom, ( ( _u16453 != _u16457) | ( hAPP(hAPP(c_List_Oappend(_u16451), _u16453), _u16455) = hAPP(hAPP(c_List_Oappend(_u16451), _u16457), _u16455)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_same__append__eq-1, axiom, ( ( _u16466 = _u16468) | ( hAPP(hAPP(c_List_Oappend(_u16462), _u16464), _u16466) != hAPP(hAPP(c_List_Oappend(_u16462), _u16464), _u16468)) )).
% 12.28/12.49 cnf(fact_same__append__eq-2, axiom, ( ( _u16467 != _u16469) | ( hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16467) = hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16469)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( _u16483 = hAPP(hAPP(c_List_Oappend(_u16481), _u16487), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481))) | ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)) = _u16487) )).
% 12.28/12.49 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( _u16483 = hAPP(hAPP(c_List_Oappend(_u16481), _u16487), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481))) | ( _u16485 = hAPP(hAPP(c_List_Oappend(_u16481), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16489)) )).
% 12.28/12.49 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( hAPP(hAPP(c_List_Oappend(_u16481), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16485) = _u16489) | ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)) = _u16487) )).
% 12.28/12.49 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( hAPP(hAPP(c_List_Oappend(_u16481), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16485) = _u16489) | ( _u16485 = hAPP(hAPP(c_List_Oappend(_u16481), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16489)) )).
% 12.28/12.49 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16482), _u16484), _u16486) = hAPP(hAPP(c_List_Oappend(_u16482), _u16488), _u16490)) | ( _u16484 != hAPP(hAPP(c_List_Oappend(_u16482), _u16488), _u16479)) | ( hAPP(hAPP(c_List_Oappend(_u16482), _u16479), _u16486) != _u16490) )).
% 12.28/12.49 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16482), _u16484), _u16486) = hAPP(hAPP(c_List_Oappend(_u16482), _u16488), _u16490)) | ( hAPP(hAPP(c_List_Oappend(_u16482), _u16484), _u16480) != _u16488) | ( _u16486 != hAPP(hAPP(c_List_Oappend(_u16482), _u16480), _u16490)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16491), hAPP(hAPP(c_List_Oappend(_u16491), _u16492), _u16493)), _u16494) = hAPP(hAPP(c_List_Oappend(_u16491), _u16492), hAPP(hAPP(c_List_Oappend(_u16491), _u16493), _u16494))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_set__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u16495), hAPP(hAPP(c_List_Oappend(_u16495), _u16496), _u16497)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16495, tc_HOL_Obool)), hAPP(c_List_Oset(_u16495), _u16496)), hAPP(c_List_Oset(_u16495), _u16497))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16499) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16501)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16502) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16503)) | ( hAPP(hAPP(c_List_Ozip(_u16498, _u16500), hAPP(hAPP(c_List_Oappend(_u16498), _u16499), _u16502)), hAPP(hAPP(c_List_Oappend(_u16500), _u16501), _u16503)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16498, _u16500)), hAPP(hAPP(c_List_Ozip(_u16498, _u16500), _u16499), _u16501)), hAPP(hAPP(c_List_Ozip(_u16498, _u16500), _u16502), _u16503))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_length__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), hAPP(hAPP(c_List_Oappend(_u16504), _u16505), _u16506)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), _u16505)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), _u16506))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u16507) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16507), hAPP(hAPP(c_List_Oappend(_u16507), _u16508), _u16509)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16507), hAPP(c_List_Omonoid__add__class_Olistsum(_u16507), _u16508)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16507), _u16509))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast__append-1, axiom, ( ( _u16513 != c_List_Olist_ONil(_u16515)) | ( c_List_Obutlast(_u16515, hAPP(hAPP(c_List_Oappend(_u16515), _u16517), _u16513)) = c_List_Obutlast(_u16515, _u16517)) )).
% 12.28/12.49 cnf(fact_butlast__append-2, axiom, ( ( _u16514 = c_List_Olist_ONil(_u16516)) | ( c_List_Obutlast(_u16516, hAPP(hAPP(c_List_Oappend(_u16516), _u16518), _u16514)) = hAPP(hAPP(c_List_Oappend(_u16516), _u16518), c_List_Obutlast(_u16516, _u16514))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16519), c_List_Olist_ONil(_u16519)), _u16520) = _u16520) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u16524) != hAPP(hAPP(c_List_Oappend(_u16524), _u16526), _u16528)) | ( _u16526 = c_List_Olist_ONil(_u16524)) )).
% 12.28/12.49 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u16524) != hAPP(hAPP(c_List_Oappend(_u16524), _u16526), _u16528)) | ( _u16528 = c_List_Olist_ONil(_u16524)) )).
% 12.28/12.49 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u16527 != c_List_Olist_ONil(_u16525)) | ( _u16529 != c_List_Olist_ONil(_u16525)) | ( c_List_Olist_ONil(_u16525) = hAPP(hAPP(c_List_Oappend(_u16525), _u16527), _u16529)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16530), _u16531), c_List_Olist_ONil(_u16530)) = _u16531) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_self__append__conv-1, axiom, ( ( _u16539 = c_List_Olist_ONil(_u16537)) | ( _u16535 != hAPP(hAPP(c_List_Oappend(_u16537), _u16535), _u16539)) )).
% 12.28/12.49 cnf(fact_self__append__conv-2, axiom, ( ( _u16540 != c_List_Olist_ONil(_u16538)) | ( _u16536 = hAPP(hAPP(c_List_Oappend(_u16538), _u16536), _u16540)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_self__append__conv2-1, axiom, ( ( _u16548 = c_List_Olist_ONil(_u16546)) | ( _u16544 != hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16544)) )).
% 12.28/12.49 cnf(fact_self__append__conv2-2, axiom, ( ( _u16549 != c_List_Olist_ONil(_u16547)) | ( _u16545 = hAPP(hAPP(c_List_Oappend(_u16547), _u16549), _u16545)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16553), _u16555), _u16557) != c_List_Olist_ONil(_u16553)) | ( _u16555 = c_List_Olist_ONil(_u16553)) )).
% 12.28/12.49 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16553), _u16555), _u16557) != c_List_Olist_ONil(_u16553)) | ( _u16557 = c_List_Olist_ONil(_u16553)) )).
% 12.28/12.49 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u16556 != c_List_Olist_ONil(_u16554)) | ( _u16558 != c_List_Olist_ONil(_u16554)) | ( hAPP(hAPP(c_List_Oappend(_u16554), _u16556), _u16558) = c_List_Olist_ONil(_u16554)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16562), _u16564), _u16566) != _u16564) | ( _u16566 = c_List_Olist_ONil(_u16562)) )).
% 12.28/12.49 cnf(fact_append__self__conv-2, axiom, ( ( _u16567 != c_List_Olist_ONil(_u16563)) | ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) = _u16565) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16571), _u16573), _u16575) != _u16575) | ( _u16573 = c_List_Olist_ONil(_u16571)) )).
% 12.28/12.49 cnf(fact_append__self__conv2-2, axiom, ( ( _u16574 != c_List_Olist_ONil(_u16572)) | ( hAPP(hAPP(c_List_Oappend(_u16572), _u16574), _u16576) = _u16576) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u16577 != _u16578) | ( _u16577 = hAPP(hAPP(c_List_Oappend(_u16579), c_List_Olist_ONil(_u16579)), _u16578)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16580), hAPP(hAPP(c_List_Oappend(_u16580), _u16581), hAPP(hAPP(c_List_Olist_OCons(_u16580), _u16582), _u16583))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16580)), _u16581)) = _u16582) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16584), hAPP(hAPP(c_List_Oappend(_u16584), _u16585), _u16586)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16584)), _u16585)), _u16587)) = hAPP(hAPP(c_List_Onth(_u16584), _u16586), _u16587)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_take__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16588), _u16589), hAPP(hAPP(c_List_Oappend(_u16588), _u16590), _u16591)) = hAPP(hAPP(c_List_Oappend(_u16588), hAPP(hAPP(c_List_Otake(_u16588), _u16589), _u16590)), hAPP(hAPP(c_List_Otake(_u16588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16589), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16590))), _u16591))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16592), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16593)), _u16594))) | ( hAPP(hAPP(c_List_Olist__update(_u16593, hAPP(hAPP(c_List_Oappend(_u16593), _u16594), _u16595)), _u16592), _u16596) = hAPP(hAPP(c_List_Oappend(_u16593), hAPP(hAPP(c_List_Olist__update(_u16593, _u16594), _u16592), _u16596)), _u16595)) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16597, hAPP(hAPP(c_List_Oappend(_u16597), _u16598), hAPP(hAPP(c_List_Olist_OCons(_u16597), _u16599), _u16600))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16597)), _u16598)), _u16601) = hAPP(hAPP(c_List_Oappend(_u16597), _u16598), hAPP(hAPP(c_List_Olist_OCons(_u16597), _u16601), _u16600))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16606), _u16608), hAPP(c_List_Oset(_u16606), _u16610))) | ( c_List_Oremove1(_u16606, _u16608, hAPP(hAPP(c_List_Oappend(_u16606), _u16610), _u16612)) = hAPP(hAPP(c_List_Oappend(_u16606), c_List_Oremove1(_u16606, _u16608, _u16610)), _u16612)) )).
% 12.28/12.49 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16607), _u16609), hAPP(c_List_Oset(_u16607), _u16611))) | ( c_List_Oremove1(_u16607, _u16609, hAPP(hAPP(c_List_Oappend(_u16607), _u16611), _u16613)) = hAPP(hAPP(c_List_Oappend(_u16607), _u16611), c_List_Oremove1(_u16607, _u16609, _u16613))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, hAPP(hAPP(c_List_Oappend(_u16614), _u16616), _u16617))))) | ~hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, _u16616)))) )).
% 12.28/12.49 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, hAPP(hAPP(c_List_Oappend(_u16614), _u16616), _u16617))))) | ~hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, _u16617)))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16618, hAPP(hAPP(c_List_Oappend(_u16618), _u16619), hAPP(hAPP(c_List_Olist_OCons(_u16618), _u16620), c_List_Olist_ONil(_u16618)))) = _u16619) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), hAPP(hAPP(c_List_Oappend(_u16621), _u16622), _u16625)), hAPP(hAPP(c_List_Oappend(_u16621), _u16623), _u16626))), c_List_Olistrel1(_u16621, _u16624))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), _u16622), _u16623)), c_List_Olistrel1(_u16621, _u16624))) | ( _u16625 != _u16626) )).
% 12.28/12.49 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), hAPP(hAPP(c_List_Oappend(_u16621), _u16622), _u16625)), hAPP(hAPP(c_List_Oappend(_u16621), _u16623), _u16626))), c_List_Olistrel1(_u16621, _u16624))) | ( _u16622 != _u16623) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), _u16625), _u16626)), c_List_Olistrel1(_u16621, _u16624))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16627), tc_List_Olist(_u16627))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16627), tc_List_Olist(_u16627)), _u16628), _u16629)), c_List_Olexord(_u16627, _u16630))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16627), tc_List_Olist(_u16627))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16627), tc_List_Olist(_u16627)), hAPP(hAPP(c_List_Oappend(_u16627), _u16631), _u16628)), hAPP(hAPP(c_List_Oappend(_u16627), _u16631), _u16629))), c_List_Olexord(_u16627, _u16630))) )).
% 12.28/12.49
% 12.28/12.49 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 12.28/12.49 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16635), hAPP(hAPP(c_List_Oappend(_u16635), _u16637), _u16639))) | hBOOL(hAPP(c_List_Odistinct(_u16635), _u16637)) )).
% 12.28/12.49 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16635), hAPP(hAPP(c_List_Oappend(_u16635), _u16637), _u16639))) | hBOOL(hAPP(c_List_Odistinct(_u16635), _u16639)) )).
% 12.28/12.49 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16635), hAPP(hAPP(c_List_Oappend(_u16635), _u16637), _u16639))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16635, tc_HOL_Obool)), hAPP(c_List_Oset(_u16635), _u16637)), hAPP(c_List_Oset(_u16635), _u16639)) = c_Orderings_Obot__class_Obot(tc_fun(_u16635, tc_HOL_Obool))) )).
% 12.28/12.50 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16636), _u16638)) | ~hBOOL(hAPP(c_List_Odistinct(_u16636), _u16640)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16636, tc_HOL_Obool)), hAPP(c_List_Oset(_u16636), _u16638)), hAPP(c_List_Oset(_u16636), _u16640)) != c_Orderings_Obot__class_Obot(tc_fun(_u16636, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16636), hAPP(hAPP(c_List_Oappend(_u16636), _u16638), _u16640))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16645), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16647)), _u16649))) | ( hAPP(hAPP(c_List_Onth(_u16647), hAPP(hAPP(c_List_Oappend(_u16647), _u16649), _u16651)), _u16645) = hAPP(hAPP(c_List_Onth(_u16647), _u16649), _u16645)) )).
% 12.28/12.50 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16648)), _u16650))) | ( hAPP(hAPP(c_List_Onth(_u16648), hAPP(hAPP(c_List_Oappend(_u16648), _u16650), _u16652)), _u16646) = hAPP(hAPP(c_List_Onth(_u16648), _u16652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16648)), _u16650)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16658), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16660)), _u16662))) | ( hAPP(hAPP(c_List_Olist__update(_u16660, hAPP(hAPP(c_List_Oappend(_u16660), _u16662), _u16664)), _u16658), _u16666) = hAPP(hAPP(c_List_Oappend(_u16660), hAPP(hAPP(c_List_Olist__update(_u16660, _u16662), _u16658), _u16666)), _u16664)) )).
% 12.28/12.50 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16659), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16661)), _u16663))) | ( hAPP(hAPP(c_List_Olist__update(_u16661, hAPP(hAPP(c_List_Oappend(_u16661), _u16663), _u16665)), _u16659), _u16667) = hAPP(hAPP(c_List_Oappend(_u16661), _u16663), hAPP(hAPP(c_List_Olist__update(_u16661, _u16665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16659), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16661)), _u16663))), _u16667))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16668, hAPP(hAPP(c_List_Oappend(_u16668), _u16669), _u16670), _u16671) = hAPP(hAPP(c_List_Oappend(_u16668), c_List_Osublist(_u16668, _u16669, _u16671)), c_List_Osublist(_u16668, _u16670, 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(_u16668)), _u16669)))), _u16671))))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16672, _u16672)), hAPP(hAPP(c_Product__Type_OPair(_u16672, _u16672), _u16673), _u16674)), _u16675)) | ( _u16676 != hAPP(hAPP(c_List_Oappend(_u16672), _u16677), hAPP(hAPP(c_List_Olist_OCons(_u16672), _u16673), _u16678))) | ( _u16679 != hAPP(hAPP(c_List_Oappend(_u16672), _u16677), hAPP(hAPP(c_List_Olist_OCons(_u16672), _u16674), _u16678))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16672), tc_List_Olist(_u16672))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16672), tc_List_Olist(_u16672)), _u16676), _u16679)), c_List_Olistrel1(_u16672, _u16675))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16680, _u16680)), hAPP(hAPP(c_Product__Type_OPair(_u16680, _u16680), _u16681), _u16682)), _u16683)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16680), tc_List_Olist(_u16680))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16680), tc_List_Olist(_u16680)), hAPP(hAPP(c_List_Oappend(_u16680), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16680), _u16681), _u16685))), hAPP(hAPP(c_List_Oappend(_u16680), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16680), _u16682), _u16686)))), c_List_Olexord(_u16680, _u16683))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16687), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16688)), _u16689))) | ( hAPP(hAPP(c_List_Otake(_u16688), hAPP(c_Nat_OSuc, _u16687)), _u16689) = hAPP(hAPP(c_List_Oappend(_u16688), hAPP(hAPP(c_List_Otake(_u16688), _u16687), _u16689)), hAPP(hAPP(c_List_Olist_OCons(_u16688), hAPP(hAPP(c_List_Onth(_u16688), _u16689), _u16687)), c_List_Olist_ONil(_u16688)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16694), tc_List_Olist(_u16694))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16694), tc_List_Olist(_u16694)), _u16695), _u16696)), c_List_Olistrel1(_u16694, _u16697))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16694, _u16694)), hAPP(hAPP(c_Product__Type_OPair(_u16694, _u16694), skolem453(_u16697, _u16696, _u16695, _u16694)), skolem454(_u16697, _u16696, _u16695, _u16694))), _u16697)) )).
% 12.28/12.50 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16694), tc_List_Olist(_u16694))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16694), tc_List_Olist(_u16694)), _u16695), _u16696)), c_List_Olistrel1(_u16694, _u16697))) | ( _u16695 = hAPP(hAPP(c_List_Oappend(_u16694), skolem455(_u16697, _u16696, _u16695, _u16694)), hAPP(hAPP(c_List_Olist_OCons(_u16694), skolem453(_u16697, _u16696, _u16695, _u16694)), skolem456(_u16697, _u16696, _u16695, _u16694)))) )).
% 12.28/12.50 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16694), tc_List_Olist(_u16694))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16694), tc_List_Olist(_u16694)), _u16695), _u16696)), c_List_Olistrel1(_u16694, _u16697))) | ( _u16696 = hAPP(hAPP(c_List_Oappend(_u16694), skolem455(_u16697, _u16696, _u16695, _u16694)), hAPP(hAPP(c_List_Olist_OCons(_u16694), skolem454(_u16697, _u16696, _u16695, _u16694)), skolem456(_u16697, _u16696, _u16695, _u16694)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16699), tc_List_Olist(_u16699))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16699), tc_List_Olist(_u16699)), hAPP(hAPP(c_List_Oappend(_u16699), _u16700), _u16701)), hAPP(hAPP(c_List_Oappend(_u16699), _u16700), _u16702))), c_List_Olexord(_u16699, _u16703))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16699, _u16699)), hAPP(hAPP(c_Product__Type_OPair(_u16699, _u16699), skolem457(_u16703, _u16702, _u16701, _u16700, _u16699)), skolem457(_u16703, _u16702, _u16701, _u16700, _u16699))), _u16703)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16699), tc_List_Olist(_u16699))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16699), tc_List_Olist(_u16699)), _u16701), _u16702)), c_List_Olexord(_u16699, _u16703))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u16704), _u16705) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16704), _u16704, c_List_Olist_ONil(_u16704), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16704), tc_fun(tc_List_Olist(_u16704), tc_List_Olist(_u16704)), _u16704), hAPP(c_COMBC(tc_List_Olist(_u16704), tc_List_Olist(_u16704), tc_List_Olist(_u16704)), c_List_Oappend(_u16704))), hAPP(hAPP(c_COMBC(_u16704, tc_List_Olist(_u16704), tc_List_Olist(_u16704)), c_List_Olist_OCons(_u16704)), c_List_Olist_ONil(_u16704)))), _u16705)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16706), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16707)), _u16708))) | ( hAPP(hAPP(c_List_Olist__update(_u16707, _u16708), _u16706), _u16709) = hAPP(hAPP(c_List_Oappend(_u16707), hAPP(hAPP(c_List_Otake(_u16707), _u16706), _u16708)), hAPP(hAPP(c_List_Olist_OCons(_u16707), _u16709), hAPP(hAPP(c_List_Odrop(_u16707), hAPP(c_Nat_OSuc, _u16706)), _u16708)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16710), hAPP(hAPP(c_List_Otake(_u16710), _u16711), _u16712)), hAPP(hAPP(c_List_Odrop(_u16710), _u16711), _u16712)) = _u16712) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16713), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16714), _u16715)) = _u16715) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16716), hAPP(c_Nat_OSuc, _u16717)), hAPP(hAPP(c_List_Olist_OCons(_u16716), _u16718), _u16719)) = hAPP(hAPP(c_List_Odrop(_u16716), _u16717), _u16719)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16720), _u16721), _u16722) != hAPP(hAPP(c_List_Olist_OCons(_u16720), _u16723), _u16724)) | ( hAPP(hAPP(c_List_Onth(_u16720), _u16722), _u16721) = _u16723) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16725), _u16726)) | hBOOL(hAPP(c_List_Odistinct(_u16725), hAPP(hAPP(c_List_Odrop(_u16725), _u16727), _u16726))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16730), hAPP(c_List_Orotate1(_u16730), _u16732))) | hBOOL(hAPP(c_List_Odistinct(_u16730), _u16732)) )).
% 12.28/12.50 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16731), _u16733)) | hBOOL(hAPP(c_List_Odistinct(_u16731), hAPP(c_List_Orotate1(_u16731), _u16733))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16734, _u16735)), _u16736), hAPP(hAPP(c_List_Ozip(_u16734, _u16735), _u16737), _u16738)) = hAPP(hAPP(c_List_Ozip(_u16734, _u16735), hAPP(hAPP(c_List_Odrop(_u16734), _u16736), _u16737)), hAPP(hAPP(c_List_Odrop(_u16735), _u16736), _u16738))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16739), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16740) = _u16740) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16741), _u16742), hAPP(hAPP(c_List_Odrop(_u16741), _u16743), _u16744)) = hAPP(hAPP(c_List_Odrop(_u16741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16742), _u16743)), _u16744)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16745), _u16746), hAPP(hAPP(c_List_Otake(_u16745), _u16747), _u16748)) = hAPP(hAPP(c_List_Otake(_u16745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16747), _u16746)), hAPP(hAPP(c_List_Odrop(_u16745), _u16746), _u16748))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16749), _u16750), hAPP(hAPP(c_List_Odrop(_u16749), _u16751), _u16752)) = hAPP(hAPP(c_List_Odrop(_u16749), _u16751), hAPP(hAPP(c_List_Otake(_u16749), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16750), _u16751)), _u16752))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16753), _u16754), hAPP(c_List_Oset(_u16753), hAPP(hAPP(c_List_Odrop(_u16753), _u16755), _u16756)))) | hBOOL(hAPP(hAPP(c_member(_u16753), _u16754), hAPP(c_List_Oset(_u16753), _u16756))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u16757), hAPP(c_List_Orotate1(_u16757), _u16758)) = hAPP(c_List_Oset(_u16757), _u16758)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16759, tc_HOL_Obool)), hAPP(c_List_Oset(_u16759), hAPP(hAPP(c_List_Odrop(_u16759), _u16760), _u16761))), hAPP(c_List_Oset(_u16759), _u16761))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16762)), hAPP(hAPP(c_List_Odrop(_u16762), _u16763), _u16764)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16762)), _u16764)), _u16763)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16765)), hAPP(c_List_Orotate1(_u16765), _u16766)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16765)), _u16766)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u16767, hAPP(hAPP(c_List_Odrop(_u16767), _u16768), _u16769)) = hAPP(hAPP(c_List_Odrop(_u16767), _u16768), c_List_Obutlast(_u16767, _u16769))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16770), _u16771), c_List_Obutlast(_u16770, _u16772)) = c_List_Obutlast(_u16770, hAPP(hAPP(c_List_Odrop(_u16770), _u16771), _u16772))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16773), _u16774), c_List_Olist_ONil(_u16773)) = c_List_Olist_ONil(_u16773)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u16777), _u16779) != c_List_Olist_ONil(_u16777)) | ( _u16779 = c_List_Olist_ONil(_u16777)) )).
% 12.28/12.50 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u16780 != c_List_Olist_ONil(_u16778)) | ( hAPP(c_List_Orotate1(_u16778), _u16780) = c_List_Olist_ONil(_u16778)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16781), _u16782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16783, tc_HOL_Obool)), hAPP(c_List_Oset(_u16783), hAPP(hAPP(c_List_Odrop(_u16783), _u16782), _u16784))), hAPP(c_List_Oset(_u16783), hAPP(hAPP(c_List_Odrop(_u16783), _u16781), _u16784)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16788), _u16790), _u16792) != c_List_Olist_ONil(_u16788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16788)), _u16792)), _u16790)) )).
% 12.28/12.50 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(_u16789)), _u16793)), _u16791)) | ( hAPP(hAPP(c_List_Odrop(_u16789), _u16791), _u16793) = c_List_Olist_ONil(_u16789)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 12.28/12.50 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(_u16794)), _u16795)), _u16796)) | ( hAPP(hAPP(c_List_Odrop(_u16794), _u16796), _u16795) = c_List_Olist_ONil(_u16794)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16797), _u16798), hAPP(hAPP(c_List_Oappend(_u16797), _u16799), _u16800)) = hAPP(hAPP(c_List_Oappend(_u16797), hAPP(hAPP(c_List_Odrop(_u16797), _u16798), _u16799)), hAPP(hAPP(c_List_Odrop(_u16797), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16797)), _u16799))), _u16800))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16805), _u16807), _u16809) != _u16811) | ( _u16807 = hAPP(hAPP(c_List_Otake(_u16805), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16805)), _u16807)), _u16811)) )).
% 12.28/12.50 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16805), _u16807), _u16809) != _u16811) | ( _u16809 = hAPP(hAPP(c_List_Odrop(_u16805), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16805)), _u16807)), _u16811)) )).
% 12.28/12.50 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u16808 != hAPP(hAPP(c_List_Otake(_u16806), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16806)), _u16808)), _u16812)) | ( _u16810 != hAPP(hAPP(c_List_Odrop(_u16806), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16806)), _u16808)), _u16812)) | ( hAPP(hAPP(c_List_Oappend(_u16806), _u16808), _u16810) = _u16812) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16813), _u16814), hAPP(hAPP(c_List_Olist_OCons(_u16813), _u16815), _u16816)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16813), hAPP(hAPP(c_List_Olist_OCons(_u16813), _u16815), _u16816), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16813), tc_List_Olist(_u16813)), c_List_Odrop(_u16813)), _u16816), _u16814)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__Cons_H-1, axiom, ( ( _u16821 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16823), _u16821), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16825), _u16827)) = hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16825), _u16827)) )).
% 12.28/12.50 cnf(fact_drop__Cons_H-2, axiom, ( ( _u16822 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16824), _u16822), hAPP(hAPP(c_List_Olist_OCons(_u16824), _u16826), _u16828)) = hAPP(hAPP(c_List_Odrop(_u16824), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16822), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16828)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 12.28/12.50 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), _u16829), _u16830)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16831)), _u16832))) | ( hAPP(hAPP(c_List_Onth(_u16831), hAPP(hAPP(c_List_Odrop(_u16831), _u16829), _u16832)), _u16830) = hAPP(hAPP(c_List_Onth(_u16831), _u16832), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16829), _u16830))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( _u16840 = hAPP(hAPP(c_List_Otake(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), _u16844)) )).
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( _u16842 = hAPP(hAPP(c_List_Oappend(_u16838), hAPP(hAPP(c_List_Odrop(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), _u16844)), _u16846)) )).
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( hAPP(hAPP(c_List_Otake(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844)), _u16840) = _u16844) )).
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( hAPP(hAPP(c_List_Oappend(_u16838), hAPP(hAPP(c_List_Odrop(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844)), _u16840)), _u16842) = _u16846) )).
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16839), _u16841), _u16843) = hAPP(hAPP(c_List_Oappend(_u16839), _u16845), _u16847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845))) | ( hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841) != _u16845) | ( hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841)), _u16843) != _u16847) )).
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16839), _u16841), _u16843) = hAPP(hAPP(c_List_Oappend(_u16839), _u16845), _u16847)) | ( _u16841 != hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)) | ( _u16843 != hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)), _u16847)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845))) )).
% 12.28/12.50 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16839), _u16841), _u16843) = hAPP(hAPP(c_List_Oappend(_u16839), _u16845), _u16847)) | ( _u16841 != hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)) | ( _u16843 != hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)), _u16847)) | ( hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841) != _u16845) | ( hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841)), _u16843) != _u16847) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16848), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16849)), _u16850))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16849), hAPP(hAPP(c_List_Onth(_u16849), _u16850), _u16848)), hAPP(hAPP(c_List_Odrop(_u16849), hAPP(c_Nat_OSuc, _u16848)), _u16850)) = hAPP(hAPP(c_List_Odrop(_u16849), _u16848), _u16850)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u16851), c_List_Olist_ONil(_u16851)) = c_List_Olist_ONil(_u16851)) )).
% 12.28/12.50 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u16852), hAPP(hAPP(c_List_Olist_OCons(_u16852), _u16853), _u16854)) = hAPP(hAPP(c_List_Oappend(_u16852), _u16854), hAPP(hAPP(c_List_Olist_OCons(_u16852), _u16853), c_List_Olist_ONil(_u16852)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16859) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16861), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16859)), hAPP(hAPP(c_List_Olist_OCons(_u16861), _u16863), _u16865)) = hAPP(hAPP(c_List_Olist_OCons(_u16861), _u16863), _u16865)) )).
% 12.28/12.50 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16860) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16862), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16860)), hAPP(hAPP(c_List_Olist_OCons(_u16862), _u16864), _u16866)) = hAPP(hAPP(c_List_Odrop(_u16862), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16860)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16866)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_take__add ( axiom ) converted to clauses:
% 12.28/12.50 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), _u16867), _u16868)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16869)), _u16870))) | ( hAPP(hAPP(c_List_Otake(_u16869), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16867), _u16868)), _u16870) = hAPP(hAPP(c_List_Oappend(_u16869), hAPP(hAPP(c_List_Otake(_u16869), _u16867), _u16870)), hAPP(hAPP(c_List_Otake(_u16869), _u16868), hAPP(hAPP(c_List_Odrop(_u16869), _u16867), _u16870)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 12.28/12.50 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(_u16871)), _u16872)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16871), _u16872) = _u16872) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16873, _u16874), _u16875), hAPP(hAPP(c_List_Oappend(_u16874), _u16876), _u16877)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16873, _u16874)), hAPP(hAPP(c_List_Ozip(_u16873, _u16874), hAPP(hAPP(c_List_Otake(_u16873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16874)), _u16876)), _u16875)), _u16876)), hAPP(hAPP(c_List_Ozip(_u16873, _u16874), hAPP(hAPP(c_List_Odrop(_u16873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16874)), _u16876)), _u16875)), _u16877))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16878, _u16879), hAPP(hAPP(c_List_Oappend(_u16878), _u16880), _u16881)), _u16882) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16878, _u16879)), hAPP(hAPP(c_List_Ozip(_u16878, _u16879), _u16880), hAPP(hAPP(c_List_Otake(_u16879), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16878)), _u16880)), _u16882))), hAPP(hAPP(c_List_Ozip(_u16878, _u16879), _u16881), hAPP(hAPP(c_List_Odrop(_u16879), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16878)), _u16880)), _u16882)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16883), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16884)), _u16885))) | ( _u16885 = hAPP(hAPP(c_List_Oappend(_u16884), hAPP(hAPP(c_List_Otake(_u16884), _u16883), _u16885)), hAPP(hAPP(c_List_Olist_OCons(_u16884), hAPP(hAPP(c_List_Onth(_u16884), _u16885), _u16883)), hAPP(hAPP(c_List_Odrop(_u16884), hAPP(c_Nat_OSuc, _u16883)), _u16885)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16886), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16887)), _u16888))) | ( hAPP(hAPP(c_List_Oappend(_u16887), hAPP(hAPP(c_List_Otake(_u16887), _u16886), _u16888)), hAPP(hAPP(c_List_Olist_OCons(_u16887), hAPP(c_List_Ohd(_u16887), hAPP(hAPP(c_List_Odrop(_u16887), _u16886), _u16888))), c_List_Olist_ONil(_u16887))) = hAPP(hAPP(c_List_Otake(_u16887), hAPP(c_Nat_OSuc, _u16886)), _u16888)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u16889 = c_List_Olist_ONil(_u16890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16891), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16890)), _u16889))) | ( hAPP(c_List_Ohd(_u16890), hAPP(hAPP(c_List_Odrop(_u16890), _u16891), _u16889)) = hAPP(hAPP(c_List_Onth(_u16890), _u16889), _u16891)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u16892), hAPP(hAPP(c_List_Olist_OCons(_u16892), _u16893), _u16894)) = _u16893) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd__append2-1, axiom, ( ( _u16895 = c_List_Olist_ONil(_u16896)) | ( hAPP(c_List_Ohd(_u16896), hAPP(hAPP(c_List_Oappend(_u16896), _u16895), _u16897)) = hAPP(c_List_Ohd(_u16896), _u16895)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd__append-1, axiom, ( ( _u16901 != c_List_Olist_ONil(_u16903)) | ( hAPP(c_List_Ohd(_u16903), hAPP(hAPP(c_List_Oappend(_u16903), _u16901), _u16905)) = hAPP(c_List_Ohd(_u16903), _u16905)) )).
% 12.28/12.50 cnf(fact_hd__append-2, axiom, ( ( _u16902 = c_List_Olist_ONil(_u16904)) | ( hAPP(c_List_Ohd(_u16904), hAPP(hAPP(c_List_Oappend(_u16904), _u16902), _u16906)) = hAPP(c_List_Ohd(_u16904), _u16902)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd__in__set-1, axiom, ( ( _u16907 = c_List_Olist_ONil(_u16908)) | hBOOL(hAPP(hAPP(c_member(_u16908), hAPP(c_List_Ohd(_u16908), _u16907)), hAPP(c_List_Oset(_u16908), _u16907))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd__conv__nth-1, axiom, ( ( _u16909 = c_List_Olist_ONil(_u16910)) | ( hAPP(c_List_Ohd(_u16910), _u16909) = hAPP(hAPP(c_List_Onth(_u16910), _u16909), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u16911 = c_List_Olist_ONil(_u16912)) | ( hAPP(c_List_Orotate1(_u16912), _u16911) = hAPP(hAPP(c_List_Oappend(_u16912), hAPP(c_List_Otl(_u16912), _u16911)), hAPP(hAPP(c_List_Olist_OCons(_u16912), hAPP(c_List_Ohd(_u16912), _u16911)), c_List_Olist_ONil(_u16912)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u16913 = c_List_Olist_ONil(_u16914)) | ( hAPP(c_List_Ohd(_u16914), hAPP(c_List_Orotate(_u16914, _u16915), _u16913)) = hAPP(hAPP(c_List_Onth(_u16914), _u16913), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16915, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16914)), _u16913)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16916), _u16917), hAPP(c_List_Otl(_u16916), _u16918)) = hAPP(c_List_Otl(_u16916), hAPP(hAPP(c_List_Odrop(_u16916), _u16917), _u16918))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u16919), hAPP(hAPP(c_List_Odrop(_u16919), _u16920), _u16921)) = hAPP(hAPP(c_List_Odrop(_u16919), _u16920), hAPP(c_List_Otl(_u16919), _u16921))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u16922), hAPP(hAPP(c_List_Olist_OCons(_u16922), _u16923), _u16924)) = _u16924) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16925), _u16926)) | hBOOL(hAPP(c_List_Odistinct(_u16925), hAPP(c_List_Otl(_u16925), _u16926))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16930), hAPP(c_List_Orotate(_u16930, _u16932), _u16934))) | hBOOL(hAPP(c_List_Odistinct(_u16930), _u16934)) )).
% 12.28/12.50 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16931), _u16935)) | hBOOL(hAPP(c_List_Odistinct(_u16931), hAPP(c_List_Orotate(_u16931, _u16933), _u16935))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u16936, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16937), _u16938)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16936), tc_List_Olist(_u16936), tc_List_Olist(_u16936), c_List_Orotate(_u16936, _u16937)), c_List_Orotate(_u16936, _u16938))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u16939, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16939))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u16940, _u16941), hAPP(c_List_Orotate(_u16940, _u16942), _u16943)) = hAPP(c_List_Orotate(_u16940, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16941), _u16942)), _u16943)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u16944), hAPP(c_List_Orotate(_u16944, _u16945), _u16946)) = hAPP(c_List_Oset(_u16944), _u16946)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16947)), hAPP(c_List_Orotate(_u16947, _u16948), _u16949)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16947)), _u16949)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u16950), c_List_Olist_ONil(_u16950)) = c_List_Olist_ONil(_u16950)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u16954, _u16956), _u16958) != c_List_Olist_ONil(_u16954)) | ( _u16958 = c_List_Olist_ONil(_u16954)) )).
% 12.28/12.50 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u16959 != c_List_Olist_ONil(_u16955)) | ( hAPP(c_List_Orotate(_u16955, _u16957), _u16959) = c_List_Olist_ONil(_u16955)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u16960, _u16961) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16960), tc_List_Olist(_u16960)), _u16961), c_List_Orotate1(_u16960))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u16962), hAPP(c_List_Orotate(_u16962, _u16963), _u16964)) = hAPP(c_List_Orotate(_u16962, _u16963), hAPP(c_List_Orotate1(_u16962), _u16964))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_tl__append2-1, axiom, ( ( _u16965 = c_List_Olist_ONil(_u16966)) | ( hAPP(c_List_Otl(_u16966), hAPP(hAPP(c_List_Oappend(_u16966), _u16965), _u16967)) = hAPP(hAPP(c_List_Oappend(_u16966), hAPP(c_List_Otl(_u16966), _u16965)), _u16967)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16968), _u16969), hAPP(c_List_Otl(_u16968), _u16970)) = hAPP(c_List_Otl(_u16968), hAPP(hAPP(c_List_Otake(_u16968), hAPP(c_Nat_OSuc, _u16969)), _u16970))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u16971, _u16972), _u16973) = hAPP(c_List_Orotate(_u16971, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16972, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16971)), _u16973))), _u16973)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16974), hAPP(c_Nat_OSuc, _u16975)), _u16976) = hAPP(hAPP(c_List_Odrop(_u16974), _u16975), hAPP(c_List_Otl(_u16974), _u16976))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u16977, hAPP(c_Nat_OSuc, _u16978)), _u16979) = hAPP(c_List_Orotate1(_u16977), hAPP(c_List_Orotate(_u16977, _u16978), _u16979))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u16980), hAPP(hAPP(c_List_Oappend(_u16980), _u16981), _u16982)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16980), _u16980, hAPP(c_List_Otl(_u16980), _u16982), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16980), tc_List_Olist(_u16980)), _u16980), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16980), tc_List_Olist(_u16980), tc_List_Olist(_u16980)), c_List_Oappend(_u16980)), _u16982))), _u16981)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16983, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16984)), _u16985)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16984, _u16983), _u16985) = _u16985) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 12.28/12.50 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(_u16986)), _u16987)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16986, _u16988), _u16987) = _u16987) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16989)), hAPP(c_List_Otl(_u16989), _u16990)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16989)), _u16990)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u16991), hAPP(hAPP(c_List_Otake(_u16991), _u16992), _u16993)) = hAPP(hAPP(c_List_Otake(_u16991), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16992), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16991), _u16993))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_take__Suc-1, axiom, ( ( _u16994 = c_List_Olist_ONil(_u16995)) | ( hAPP(hAPP(c_List_Otake(_u16995), hAPP(c_Nat_OSuc, _u16996)), _u16994) = hAPP(hAPP(c_List_Olist_OCons(_u16995), hAPP(c_List_Ohd(_u16995), _u16994)), hAPP(hAPP(c_List_Otake(_u16995), _u16996), hAPP(c_List_Otl(_u16995), _u16994)))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u16997, _u16998), _u16999) = hAPP(hAPP(c_List_Oappend(_u16997), hAPP(hAPP(c_List_Odrop(_u16997), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16998, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16997)), _u16999))), _u16999)), hAPP(hAPP(c_List_Otake(_u16997), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16998, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16997)), _u16999))), _u16999))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u17000) | ( _u17001 = c_List_Olist_ONil(_u17000)) | ( hAPP(c_Finite__Set_Ofold1(_u17000, c_Groups_Otimes__class_Otimes(_u17000)), hAPP(c_List_Oset(_u17000), _u17001)) = hAPP(c_List_Ofoldl(_u17000, _u17000, c_Groups_Otimes__class_Otimes(_u17000), hAPP(c_List_Ohd(_u17000), _u17001)), hAPP(c_List_Otl(_u17000), _u17001))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u17004 != hAPP(hAPP(c_List_Olist_OCons(_u17005), _u17003), _u17002)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17005), tc_List_Olist(_u17005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17005), tc_List_Olist(_u17005)), _u17006), hAPP(hAPP(c_List_Oappend(_u17005), _u17006), _u17004))), c_List_Olexord(_u17005, _u17007))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17008, _u17009, _u17010, _u17011), c_List_Olist_ONil(_u17009)) = _u17011) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17012), _u17013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17012), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17013), _u17014))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u17015) | ( hAPP(c_List_Ofoldl(_u17015, _u17015, c_Groups_Oplus__class_Oplus(_u17015), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17015), _u17016), _u17017)), _u17018) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17015), _u17016), hAPP(c_List_Ofoldl(_u17015, _u17015, c_Groups_Oplus__class_Oplus(_u17015), _u17017), _u17018))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u17019) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17019), _u17020), hAPP(c_List_Ofoldl(_u17019, _u17019, c_Groups_Oplus__class_Oplus(_u17019), c_Groups_Ozero__class_Ozero(_u17019)), _u17021)) = hAPP(c_List_Ofoldl(_u17019, _u17019, c_Groups_Oplus__class_Oplus(_u17019), _u17020), _u17021)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17022, _u17023, _u17024, _u17025), hAPP(hAPP(c_List_Olist_OCons(_u17023), _u17026), _u17027)) = hAPP(c_List_Ofoldl(_u17022, _u17023, _u17024, hAPP(hAPP(_u17024, _u17025), _u17026)), _u17027)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17028, _u17029, _u17030, _u17031), hAPP(hAPP(c_List_Oappend(_u17029), _u17032), _u17033)) = hAPP(c_List_Ofoldl(_u17028, _u17029, _u17030, hAPP(c_List_Ofoldl(_u17028, _u17029, _u17030, _u17031), _u17032)), _u17033)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u17034) | ( c_List_Omonoid__add__class_Olistsum(_u17034) = c_List_Ofoldl(_u17034, _u17034, c_Groups_Oplus__class_Oplus(_u17034), c_Groups_Ozero__class_Ozero(_u17034))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 12.28/12.50 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), _u17039), _u17041) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17039 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.50 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), _u17039), _u17041) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17035), hAPP(c_List_Oset(tc_Nat_Onat), _u17041))) | ( _u17035 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.50 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), _u17040), _u17042) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17040 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem458(_u17042, _u17040)), hAPP(c_List_Oset(tc_Nat_Onat), _u17042))) )).
% 12.28/12.50 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), _u17040), _u17042) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17040 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem458(_u17042, _u17040) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u17043, _u17044, _u17045) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17043, _u17044, _u17045), _u17046), hAPP(c_List_Oset(_u17043), _u17047)) = hAPP(c_List_Ofoldl(_u17044, _u17043, hAPP(c_COMBC(_u17043, _u17044, _u17044), _u17045), _u17046), _u17047)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17048) | ( c_Complete__Lattice_OSup__class_OSup(_u17048, hAPP(c_List_Oset(_u17048), _u17049)) = hAPP(c_List_Ofoldl(_u17048, _u17048, c_Lattices_Osemilattice__sup__class_Osup(_u17048), c_Orderings_Obot__class_Obot(_u17048)), _u17049)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | ( c_Complete__Lattice_OInf__class_OInf(_u17050, hAPP(c_List_Oset(_u17050), _u17051)) = hAPP(c_List_Ofoldl(_u17050, _u17050, c_Lattices_Osemilattice__inf__class_Oinf(_u17050), c_Orderings_Otop__class_Otop(_u17050)), _u17051)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u17052) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17052, hAPP(c_List_Oset(_u17052), hAPP(hAPP(c_List_Olist_OCons(_u17052), _u17053), _u17054))) = hAPP(c_List_Ofoldl(_u17052, _u17052, c_Lattices_Osemilattice__sup__class_Osup(_u17052), _u17053), _u17054)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u17055) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17055, hAPP(c_List_Oset(_u17055), hAPP(hAPP(c_List_Olist_OCons(_u17055), _u17056), _u17057))) = hAPP(c_List_Ofoldl(_u17055, _u17055, c_Lattices_Osemilattice__inf__class_Oinf(_u17055), _u17056), _u17057)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17058) | ( c_Big__Operators_Olinorder__class_OMin(_u17058, hAPP(c_List_Oset(_u17058), hAPP(hAPP(c_List_Olist_OCons(_u17058), _u17059), _u17060))) = hAPP(c_List_Ofoldl(_u17058, _u17058, c_Orderings_Oord__class_Omin(_u17058), _u17059), _u17060)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17061) | ( c_Big__Operators_Olinorder__class_OMax(_u17061, hAPP(c_List_Oset(_u17061), hAPP(hAPP(c_List_Olist_OCons(_u17061), _u17062), _u17063))) = hAPP(c_List_Ofoldl(_u17061, _u17061, c_Orderings_Oord__class_Omax(_u17061), _u17062), _u17063)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17064) | ( c_Big__Operators_Olattice_OInf__fin(_u17064, c_Orderings_Oord__class_Omin(_u17064), hAPP(c_List_Oset(_u17064), hAPP(hAPP(c_List_Olist_OCons(_u17064), _u17065), _u17066))) = hAPP(c_List_Ofoldl(_u17064, _u17064, c_Orderings_Oord__class_Omin(_u17064), _u17065), _u17066)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17067) | ( c_Big__Operators_Olattice_OSup__fin(_u17067, c_Orderings_Oord__class_Omax(_u17067), hAPP(c_List_Oset(_u17067), hAPP(hAPP(c_List_Olist_OCons(_u17067), _u17068), _u17069))) = hAPP(c_List_Ofoldl(_u17067, _u17067, c_Orderings_Oord__class_Omax(_u17067), _u17068), _u17069)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17070) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17071, _u17070), hAPP(c_List_Oset(_u17071), _u17072)), _u17073) = hAPP(c_List_Ofoldl(_u17070, _u17071, hAPP(c_COMBC(_u17071, _u17070, _u17070), hAPP(hAPP(c_COMBB(_u17070, tc_fun(_u17070, _u17070), _u17071), c_Lattices_Osemilattice__sup__class_Osup(_u17070)), _u17073)), c_Orderings_Obot__class_Obot(_u17070)), _u17072)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17074) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17075, _u17074), hAPP(c_List_Oset(_u17075), _u17076)), _u17077) = hAPP(c_List_Ofoldl(_u17074, _u17075, hAPP(c_COMBC(_u17075, _u17074, _u17074), hAPP(hAPP(c_COMBB(_u17074, tc_fun(_u17074, _u17074), _u17075), c_Lattices_Osemilattice__inf__class_Oinf(_u17074)), _u17077)), c_Orderings_Otop__class_Otop(_u17074)), _u17076)) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17078), hAPP(c_List_Oset(tc_Nat_Onat), _u17079))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17078), 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)), _u17079))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17080), _u17081)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17080, hAPP(hAPP(c_Set_Oinsert(_u17080), _u17082), _u17081)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17080, _u17080, c_COMBI(_u17080)), _u17082), c_List_Olinorder__class_Osorted__list__of__set(_u17080, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17080, tc_HOL_Obool)), _u17081), hAPP(hAPP(c_Set_Oinsert(_u17080), _u17082), c_Orderings_Obot__class_Obot(tc_fun(_u17080, tc_HOL_Obool))))))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17090), tc_List_Olist(_u17090))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17090), tc_List_Olist(_u17090)), c_List_Olist_ONil(_u17090)), _u17092)), c_List_Olexord(_u17090, _u17094))) | ( _u17092 = hAPP(hAPP(c_List_Olist_OCons(_u17090), skolem459(_u17094, _u17092, _u17090)), skolem460(_u17094, _u17092, _u17090))) )).
% 12.28/12.50 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u17093 != hAPP(hAPP(c_List_Olist_OCons(_u17091), _u17086), _u17085)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17091), tc_List_Olist(_u17091))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17091), tc_List_Olist(_u17091)), c_List_Olist_ONil(_u17091)), _u17093)), c_List_Olexord(_u17091, _u17095))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17096) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17097, _u17096, _u17098), _u17099), c_List_Olist_ONil(_u17097)) = hAPP(hAPP(c_List_Olist_OCons(_u17097), _u17099), c_List_Olist_ONil(_u17097))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17100), hAPP(_u17101, _u17102)), hAPP(_u17101, _u17103))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17104, _u17100, _u17101), _u17102), hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), _u17105)) = hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17102), hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), _u17105))) )).
% 12.28/12.50 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17100) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17100), hAPP(_u17101, _u17102)), hAPP(_u17101, _u17103))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17104, _u17100, _u17101), _u17102), hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), _u17105)) = hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17104, _u17100, _u17101), _u17102), _u17105))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17106) | ( c_List_Oremove1(_u17106, _u17107, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17106, _u17106, c_COMBI(_u17106)), _u17107), _u17108)) = _u17108) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17109) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17110), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17111), _u17112)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17111), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17110), _u17112))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17113) | ( hAPP(_u17114, _u17115) = hAPP(_u17114, _u17116)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17116), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17115), _u17118)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17115), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17116), _u17118))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17119) | c_Finite__Set_Ofun__left__comm(_u17119, tc_List_Olist(_u17119), c_List_Olinorder__class_Oinsort__key(_u17119, _u17119, c_COMBI(_u17119))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17120) | ( hAPP(c_List_Oset(_u17121), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17121, _u17120, _u17122), _u17123), _u17124)) = hAPP(hAPP(c_Set_Oinsert(_u17121), _u17123), hAPP(c_List_Oset(_u17121), _u17124))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17125) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17126, _u17125, _u17127), _u17128), _u17129)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17129))) )).
% 12.28/12.50
% 12.28/12.50 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 12.28/12.50 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u17130) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17131, _u17130, _u17132), _u17133), _u17134) != c_List_Olist_ONil(_u17131)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17135) | ~hBOOL(hAPP(c_List_Odistinct(_u17136), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17136, _u17135, _u17137), _u17138), _u17139))) | ~hBOOL(hAPP(hAPP(c_member(_u17136), _u17138), hAPP(c_List_Oset(_u17136), _u17139))) )).
% 12.29/12.50 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17135) | ~hBOOL(hAPP(c_List_Odistinct(_u17136), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17136, _u17135, _u17137), _u17138), _u17139))) | hBOOL(hAPP(c_List_Odistinct(_u17136), _u17139)) )).
% 12.29/12.50 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u17135) | hBOOL(hAPP(hAPP(c_member(_u17136), _u17138), hAPP(c_List_Oset(_u17136), _u17139))) | ~hBOOL(hAPP(c_List_Odistinct(_u17136), _u17139)) | hBOOL(hAPP(c_List_Odistinct(_u17136), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17136, _u17135, _u17137), _u17138), _u17139))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17140) | hBOOL(hAPP(hAPP(c_member(_u17140), hAPP(_u17141, _u17142)), hAPP(c_Set_Oimage(_u17143, _u17140, _u17141), hAPP(c_List_Oset(_u17143), _u17144)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17143, _u17140, _u17141, _u17142, _u17144) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17143, _u17140, _u17141), _u17142), _u17144)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17145) | hBOOL(hAPP(hAPP(c_member(_u17145), _u17146), hAPP(c_List_Oset(_u17145), _u17147))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17145, _u17145, c_COMBI(_u17145), _u17146, _u17147) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17145, _u17145, c_COMBI(_u17145)), _u17146), _u17147)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17148) | ~hBOOL(hAPP(c_List_Odistinct(_u17149), _u17150)) | hBOOL(hAPP(c_List_Odistinct(_u17149), c_List_Olinorder__class_Oinsort__insert__key(_u17149, _u17148, _u17151, _u17152, _u17150))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17153) | ~hBOOL(hAPP(hAPP(c_member(_u17153), _u17154), hAPP(c_List_Oset(_u17153), _u17155))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17153, _u17153, c_COMBI(_u17153), _u17154, _u17155) = _u17155) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17156) | ( hAPP(c_List_Oset(_u17156), c_List_Olinorder__class_Oinsort__insert__key(_u17156, _u17156, c_COMBI(_u17156), _u17157, _u17158)) = hAPP(hAPP(c_Set_Oinsert(_u17156), _u17157), hAPP(c_List_Oset(_u17156), _u17158))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17159) | ~hBOOL(hAPP(hAPP(c_member(_u17159), hAPP(_u17160, _u17161)), hAPP(c_Set_Oimage(_u17162, _u17159, _u17160), hAPP(c_List_Oset(_u17162), _u17163)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17162, _u17159, _u17160, _u17161, _u17163) = _u17163) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__list__update-1, axiom, ( ( _u17164 = c_List_Olist_ONil(_u17165)) | ( _u17166 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17165)), _u17164)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17165, hAPP(hAPP(c_List_Olist__update(_u17165, _u17164), _u17166), _u17167)) = _u17167) )).
% 12.29/12.50 cnf(fact_last__list__update-2, axiom, ( ( _u17164 = c_List_Olist_ONil(_u17165)) | ( _u17166 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17165)), _u17164)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17165, hAPP(hAPP(c_List_Olist__update(_u17165, _u17164), _u17166), _u17167)) = c_List_Olast(_u17165, _u17164)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__conv__nth-1, axiom, ( ( _u17168 = c_List_Olist_ONil(_u17169)) | ( c_List_Olast(_u17169, _u17168) = hAPP(hAPP(c_List_Onth(_u17169), _u17168), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17169)), _u17168)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__appendL-1, axiom, ( ( _u17170 != c_List_Olist_ONil(_u17171)) | ( c_List_Olast(_u17171, hAPP(hAPP(c_List_Oappend(_u17171), _u17172), _u17170)) = c_List_Olast(_u17171, _u17172)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__appendR-1, axiom, ( ( _u17173 = c_List_Olist_ONil(_u17174)) | ( c_List_Olast(_u17174, hAPP(hAPP(c_List_Oappend(_u17174), _u17175), _u17173)) = c_List_Olast(_u17174, _u17173)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__append-1, axiom, ( ( _u17179 != c_List_Olist_ONil(_u17181)) | ( c_List_Olast(_u17181, hAPP(hAPP(c_List_Oappend(_u17181), _u17183), _u17179)) = c_List_Olast(_u17181, _u17183)) )).
% 12.29/12.50 cnf(fact_last__append-2, axiom, ( ( _u17180 = c_List_Olist_ONil(_u17182)) | ( c_List_Olast(_u17182, hAPP(hAPP(c_List_Oappend(_u17182), _u17184), _u17180)) = c_List_Olast(_u17182, _u17180)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__ConsL-1, axiom, ( ( _u17185 != c_List_Olist_ONil(_u17186)) | ( c_List_Olast(_u17186, hAPP(hAPP(c_List_Olist_OCons(_u17186), _u17187), _u17185)) = _u17187) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__ConsR-1, axiom, ( ( _u17188 = c_List_Olist_ONil(_u17189)) | ( c_List_Olast(_u17189, hAPP(hAPP(c_List_Olist_OCons(_u17189), _u17190), _u17188)) = c_List_Olast(_u17189, _u17188)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last_Osimps-1, axiom, ( ( _u17194 != c_List_Olist_ONil(_u17196)) | ( c_List_Olast(_u17196, hAPP(hAPP(c_List_Olist_OCons(_u17196), _u17198), _u17194)) = _u17198) )).
% 12.29/12.50 cnf(fact_last_Osimps-2, axiom, ( ( _u17195 = c_List_Olist_ONil(_u17197)) | ( c_List_Olast(_u17197, hAPP(hAPP(c_List_Olist_OCons(_u17197), _u17199), _u17195)) = c_List_Olast(_u17197, _u17195)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__in__set-1, axiom, ( ( _u17200 = c_List_Olist_ONil(_u17201)) | hBOOL(hAPP(hAPP(c_member(_u17201), c_List_Olast(_u17201, _u17200)), hAPP(c_List_Oset(_u17201), _u17200))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u17202, hAPP(hAPP(c_List_Oappend(_u17202), _u17203), hAPP(hAPP(c_List_Olist_OCons(_u17202), _u17204), c_List_Olist_ONil(_u17202)))) = _u17204) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17205), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17206)), _u17207))) | ( c_List_Olast(_u17206, hAPP(hAPP(c_List_Odrop(_u17206), _u17205), _u17207)) = c_List_Olast(_u17206, _u17207)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u17208 = c_List_Olist_ONil(_u17209)) | ( hAPP(hAPP(c_List_Oappend(_u17209), c_List_Obutlast(_u17209, _u17208)), hAPP(hAPP(c_List_Olist_OCons(_u17209), c_List_Olast(_u17209, _u17208)), c_List_Olist_ONil(_u17209))) = _u17208) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17214), _u17216), hAPP(hAPP(c_List_Olist_OCons(_u17214), _u17218), c_List_Olist_ONil(_u17214))) != _u17220) | ( _u17220 != c_List_Olist_ONil(_u17214)) )).
% 12.29/12.50 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17214), _u17216), hAPP(hAPP(c_List_Olist_OCons(_u17214), _u17218), c_List_Olist_ONil(_u17214))) != _u17220) | ( c_List_Obutlast(_u17214, _u17220) = _u17216) )).
% 12.29/12.50 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17214), _u17216), hAPP(hAPP(c_List_Olist_OCons(_u17214), _u17218), c_List_Olist_ONil(_u17214))) != _u17220) | ( c_List_Olast(_u17214, _u17220) = _u17218) )).
% 12.29/12.50 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u17221 = c_List_Olist_ONil(_u17215)) | ( c_List_Obutlast(_u17215, _u17221) != _u17217) | ( c_List_Olast(_u17215, _u17221) != _u17219) | ( hAPP(hAPP(c_List_Oappend(_u17215), _u17217), hAPP(hAPP(c_List_Olist_OCons(_u17215), _u17219), c_List_Olist_ONil(_u17215))) = _u17221) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), _u17231), c_List_Olists(_u17229, _u17233))) | ( _u17231 = c_List_Olist_ONil(_u17229)) | hBOOL(hAPP(hAPP(c_member(_u17229), skolem461(_u17233, _u17231, _u17229)), _u17233)) )).
% 12.29/12.50 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), _u17231), c_List_Olists(_u17229, _u17233))) | ( _u17231 = c_List_Olist_ONil(_u17229)) | ( _u17231 = hAPP(hAPP(c_List_Olist_OCons(_u17229), skolem461(_u17233, _u17231, _u17229)), skolem462(_u17233, _u17231, _u17229))) )).
% 12.29/12.50 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), _u17231), c_List_Olists(_u17229, _u17233))) | ( _u17231 = c_List_Olist_ONil(_u17229)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), skolem462(_u17233, _u17231, _u17229)), c_List_Olists(_u17229, _u17233))) )).
% 12.29/12.50 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17230)), _u17232), c_List_Olists(_u17230, _u17234))) | ( _u17232 != c_List_Olist_ONil(_u17230)) )).
% 12.29/12.50 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17230)), _u17232), c_List_Olists(_u17230, _u17234))) | ~hBOOL(hAPP(hAPP(c_member(_u17230), _u17225), _u17234)) | ( _u17232 != hAPP(hAPP(c_List_Olist_OCons(_u17230), _u17225), _u17224)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17230)), _u17224), c_List_Olists(_u17230, _u17234))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_select__weigth__select-1, axiom, ( ( _u17235 = c_List_Olist_ONil(_u17236)) | ( c_Random_Oselect__weight(_u17236, hAPP(hAPP(c_List_Omap(_u17236, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17236)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17236), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17235)) = c_Random_Oselect(_u17236, _u17235)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17237, _u17238, _u17239, c_Orderings_Otop__class_Otop(tc_fun(_u17237, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17237), tc_List_Olist(_u17238), hAPP(c_List_Omap(_u17237, _u17238), _u17239), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17237), tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__map-1, axiom, ( ( _u17240 = c_List_Olist_ONil(_u17241)) | ( c_List_Olast(_u17242, hAPP(hAPP(c_List_Omap(_u17241, _u17242), _u17243), _u17240)) = hAPP(_u17243, c_List_Olast(_u17241, _u17240))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17244, _u17245, _u17246, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17244, tc_HOL_Obool)), hAPP(c_List_Oset(_u17244), _u17247)), hAPP(c_List_Oset(_u17244), _u17248))) | ( hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17247) != hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17248)) | ( _u17247 = _u17248) )).
% 12.29/12.50 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17244, _u17245, _u17246, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17244, tc_HOL_Obool)), hAPP(c_List_Oset(_u17244), _u17247)), hAPP(c_List_Oset(_u17244), _u17248))) | ( _u17247 != _u17248) | ( hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17247) = hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17248)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17249, _u17250), _u17251), _u17252) != hAPP(hAPP(c_List_Omap(_u17249, _u17250), _u17251), _u17253)) | ~c_Fun_Oinj__on(_u17249, _u17250, _u17251, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17249, tc_HOL_Obool)), hAPP(c_List_Oset(_u17249), _u17252)), hAPP(c_List_Oset(_u17249), _u17253))) | ( _u17252 = _u17253) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17254, _u17255, _u17256, _u17257), hAPP(hAPP(c_List_Omap(_u17258, _u17255), _u17259), _u17260)) = hAPP(c_List_Ofoldl(_u17254, _u17258, hAPP(hAPP(c_COMBC(_u17254, tc_fun(_u17258, _u17255), tc_fun(_u17258, _u17254)), hAPP(hAPP(c_COMBB(tc_fun(_u17255, _u17254), tc_fun(tc_fun(_u17258, _u17255), tc_fun(_u17258, _u17254)), _u17254), c_COMBB(_u17255, _u17254, _u17258)), _u17256)), _u17259), _u17257), _u17260)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u17261, _u17262), hAPP(hAPP(c_List_Omap(_u17263, _u17261), _u17264), _u17265)) = hAPP(hAPP(c_List_Omap(_u17263, _u17261), _u17264), hAPP(c_List_Orotate(_u17263, _u17262), _u17265))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17266, _u17267), _u17268), hAPP(c_List_Otl(_u17266), _u17269)) = hAPP(c_List_Otl(_u17267), hAPP(hAPP(c_List_Omap(_u17266, _u17267), _u17268), _u17269))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17274, _u17276), _u17278), _u17280) != c_List_Olist_ONil(_u17276)) | ( _u17280 = c_List_Olist_ONil(_u17274)) )).
% 12.29/12.50 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u17281 != c_List_Olist_ONil(_u17275)) | ( hAPP(hAPP(c_List_Omap(_u17275, _u17277), _u17279), _u17281) = c_List_Olist_ONil(_u17277)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17282, _u17283), _u17284), c_List_Olist_ONil(_u17282)) = c_List_Olist_ONil(_u17283)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u17295 = c_List_Olist_ONil(_u17291)) | ( c_List_Olist_ONil(_u17289) != hAPP(hAPP(c_List_Omap(_u17291, _u17289), _u17293), _u17295)) )).
% 12.29/12.50 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u17296 != c_List_Olist_ONil(_u17292)) | ( c_List_Olist_ONil(_u17290) = hAPP(hAPP(c_List_Omap(_u17292, _u17290), _u17294), _u17296)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__update ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17297, _u17298), _u17299), hAPP(hAPP(c_List_Olist__update(_u17297, _u17300), _u17301), _u17302)) = hAPP(hAPP(c_List_Olist__update(_u17298, hAPP(hAPP(c_List_Omap(_u17297, _u17298), _u17299), _u17300)), _u17301), hAPP(_u17299, _u17302))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17303) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17303), hAPP(hAPP(c_List_Omap(_u17304, _u17303), hAPP(hAPP(c_COMBS(_u17304, _u17303, _u17303), hAPP(hAPP(c_COMBB(_u17303, tc_fun(_u17303, _u17303), _u17304), c_Groups_Oplus__class_Oplus(_u17303)), _u17305)), _u17306)), _u17307)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17303), hAPP(c_List_Omonoid__add__class_Olistsum(_u17303), hAPP(hAPP(c_List_Omap(_u17304, _u17303), _u17305), _u17307))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17303), hAPP(hAPP(c_List_Omap(_u17304, _u17303), _u17306), _u17307)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u17308) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17308), hAPP(hAPP(c_List_Omap(_u17309, _u17308), hAPP(c_COMBK(_u17308, _u17309), c_Groups_Ozero__class_Ozero(_u17308))), _u17310)) = c_Groups_Ozero__class_Ozero(_u17308)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u17311) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17311), hAPP(hAPP(c_List_Omap(_u17312, _u17311), hAPP(hAPP(c_COMBC(_u17312, _u17311, _u17311), hAPP(hAPP(c_COMBB(_u17311, tc_fun(_u17311, _u17311), _u17312), c_Groups_Otimes__class_Otimes(_u17311)), _u17313)), _u17314)), _u17315)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17311), hAPP(c_List_Omonoid__add__class_Olistsum(_u17311), hAPP(hAPP(c_List_Omap(_u17312, _u17311), _u17313), _u17315))), _u17314)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u17316) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17316), hAPP(hAPP(c_List_Omap(_u17317, _u17316), hAPP(hAPP(c_COMBB(_u17316, _u17316, _u17317), hAPP(c_Groups_Otimes__class_Otimes(_u17316), _u17318)), _u17319)), _u17320)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17316), _u17318), hAPP(c_List_Omonoid__add__class_Olistsum(_u17316), hAPP(hAPP(c_List_Omap(_u17317, _u17316), _u17319), _u17320)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u17321) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17321), hAPP(hAPP(c_List_Omap(_u17322, _u17321), hAPP(hAPP(c_COMBS(_u17322, _u17321, _u17321), hAPP(hAPP(c_COMBB(_u17321, tc_fun(_u17321, _u17321), _u17322), c_Groups_Ominus__class_Ominus(_u17321)), _u17323)), _u17324)), _u17325)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17321), hAPP(c_List_Omonoid__add__class_Olistsum(_u17321), hAPP(hAPP(c_List_Omap(_u17322, _u17321), _u17323), _u17325))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17321), hAPP(hAPP(c_List_Omap(_u17322, _u17321), _u17324), _u17325)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17326, _u17327), _u17328), c_List_Obutlast(_u17326, _u17329)) = c_List_Obutlast(_u17327, hAPP(hAPP(c_List_Omap(_u17326, _u17327), _u17328), _u17329))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17330, _u17331), _u17332), _u17333) != hAPP(hAPP(c_List_Omap(_u17334, _u17331), _u17335), _u17336)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17330)), _u17333) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17334)), _u17336)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17337)), hAPP(hAPP(c_List_Omap(_u17338, _u17337), _u17339), _u17340)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17338)), _u17340)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17348, _u17350), _u17352), _u17354) != hAPP(hAPP(c_List_Omap(_u17348, _u17350), _u17356), _u17354)) | ~hBOOL(hAPP(hAPP(c_member(_u17348), _u17341), hAPP(c_List_Oset(_u17348), _u17354))) | ( hAPP(_u17352, _u17341) = hAPP(_u17356, _u17341)) )).
% 12.29/12.50 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17353), _u17355) = hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17357), _u17355)) | hBOOL(hAPP(hAPP(c_member(_u17349), skolem463(_u17357, _u17355, _u17353, _u17351, _u17349)), hAPP(c_List_Oset(_u17349), _u17355))) )).
% 12.29/12.50 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17353), _u17355) = hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17357), _u17355)) | ( hAPP(_u17353, skolem463(_u17357, _u17355, _u17353, _u17351, _u17349)) != hAPP(_u17357, skolem463(_u17357, _u17355, _u17353, _u17351, _u17349))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_take__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17358), _u17359), hAPP(hAPP(c_List_Omap(_u17360, _u17358), _u17361), _u17362)) = hAPP(hAPP(c_List_Omap(_u17360, _u17358), _u17361), hAPP(hAPP(c_List_Otake(_u17360), _u17359), _u17362))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17363, _u17364), _u17365), _u17366) != hAPP(hAPP(c_List_Omap(_u17363, _u17364), _u17365), _u17367)) | ~c_Fun_Oinj__on(_u17363, _u17364, _u17365, c_Orderings_Otop__class_Otop(tc_fun(_u17363, tc_HOL_Obool))) | ( _u17366 = _u17367) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17368, _u17369, _u17370, c_Orderings_Otop__class_Otop(tc_fun(_u17368, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17371) != hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17372)) | ( _u17371 = _u17372) )).
% 12.29/12.50 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17368, _u17369, _u17370, c_Orderings_Otop__class_Otop(tc_fun(_u17368, tc_HOL_Obool))) | ( _u17371 != _u17372) | ( hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17371) = hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17372)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17373, _u17373), c_COMBI(_u17373)), _u17374) = _u17374) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17375), hAPP(hAPP(c_List_Omap(_u17376, _u17375), _u17377), _u17378)) = hAPP(c_Set_Oimage(_u17376, _u17375, _u17377), hAPP(c_List_Oset(_u17376), _u17378))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17379, _u17380), _u17381), hAPP(hAPP(c_List_Olist_OCons(_u17379), _u17382), _u17383)) = hAPP(hAPP(c_List_Olist_OCons(_u17380), hAPP(_u17381, _u17382)), hAPP(hAPP(c_List_Omap(_u17379, _u17380), _u17381), _u17383))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17384, _u17384), _u17385), _u17385) = hAPP(hAPP(c_List_Omap(_u17384, tc_prod(_u17384, _u17384)), hAPP(hAPP(c_COMBS(_u17384, _u17384, tc_prod(_u17384, _u17384)), c_Product__Type_OPair(_u17384, _u17384)), c_COMBI(_u17384))), _u17385)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17386, _u17387), hAPP(hAPP(c_List_Omap(_u17388, _u17386), _u17389), _u17390)), hAPP(hAPP(c_List_Omap(_u17391, _u17387), _u17392), _u17393)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17388, _u17391), tc_prod(_u17386, _u17387)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17388, _u17391, tc_prod(_u17386, _u17387)), hAPP(hAPP(c_COMBC(_u17388, tc_fun(_u17391, _u17387), tc_fun(_u17391, tc_prod(_u17386, _u17387))), hAPP(hAPP(c_COMBB(tc_fun(_u17387, tc_prod(_u17386, _u17387)), tc_fun(tc_fun(_u17391, _u17387), tc_fun(_u17391, tc_prod(_u17386, _u17387))), _u17388), c_COMBB(_u17387, tc_prod(_u17386, _u17387), _u17391)), hAPP(hAPP(c_COMBB(_u17386, tc_fun(_u17387, tc_prod(_u17386, _u17387)), _u17388), c_Product__Type_OPair(_u17386, _u17387)), _u17389))), _u17392))), hAPP(hAPP(c_List_Ozip(_u17388, _u17391), _u17390), _u17393))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17394, _u17395), hAPP(hAPP(c_List_Omap(_u17396, _u17394), _u17397), _u17398)), _u17399) = hAPP(hAPP(c_List_Omap(tc_prod(_u17396, _u17395), tc_prod(_u17394, _u17395)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17396, _u17395, tc_prod(_u17394, _u17395)), hAPP(hAPP(c_COMBB(_u17394, tc_fun(_u17395, tc_prod(_u17394, _u17395)), _u17396), c_Product__Type_OPair(_u17394, _u17395)), _u17397))), hAPP(hAPP(c_List_Ozip(_u17396, _u17395), _u17398), _u17399))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17400, _u17401), _u17402), _u17403), hAPP(hAPP(c_List_Ozip(_u17400, _u17401), hAPP(hAPP(c_List_Omap(_u17404, _u17400), _u17405), _u17406)), _u17407)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17404, _u17401), _u17402), hAPP(c_Product__Type_Oprod_Oprod__case(_u17404, _u17401, _u17402), hAPP(hAPP(c_COMBB(tc_fun(_u17401, tc_prod(_u17400, _u17401)), tc_fun(_u17401, _u17402), _u17404), hAPP(c_COMBB(tc_prod(_u17400, _u17401), _u17402, _u17401), _u17403)), hAPP(hAPP(c_COMBB(_u17400, tc_fun(_u17401, tc_prod(_u17400, _u17401)), _u17404), c_Product__Type_OPair(_u17400, _u17401)), _u17405)))), hAPP(hAPP(c_List_Ozip(_u17404, _u17401), _u17406), _u17407))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17408, _u17409), _u17410), _u17411), hAPP(hAPP(c_List_Ozip(_u17408, _u17409), _u17412), hAPP(hAPP(c_List_Omap(_u17413, _u17409), _u17414), _u17415))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17408, _u17413), _u17410), hAPP(c_Product__Type_Oprod_Oprod__case(_u17408, _u17413, _u17410), hAPP(hAPP(c_COMBB(tc_fun(_u17413, tc_prod(_u17408, _u17409)), tc_fun(_u17413, _u17410), _u17408), hAPP(c_COMBB(tc_prod(_u17408, _u17409), _u17410, _u17413), _u17411)), hAPP(hAPP(c_COMBC(_u17408, tc_fun(_u17413, _u17409), tc_fun(_u17413, tc_prod(_u17408, _u17409))), hAPP(hAPP(c_COMBB(tc_fun(_u17409, tc_prod(_u17408, _u17409)), tc_fun(tc_fun(_u17413, _u17409), tc_fun(_u17413, tc_prod(_u17408, _u17409))), _u17408), c_COMBB(_u17409, tc_prod(_u17408, _u17409), _u17413)), c_Product__Type_OPair(_u17408, _u17409))), _u17414)))), hAPP(hAPP(c_List_Ozip(_u17408, _u17413), _u17412), _u17415))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17416, _u17417), _u17418), hAPP(hAPP(c_List_Omap(_u17419, _u17417), _u17420), _u17421)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17416, _u17419), tc_prod(_u17416, _u17417)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17416, _u17419, tc_prod(_u17416, _u17417)), hAPP(hAPP(c_COMBC(_u17416, tc_fun(_u17419, _u17417), tc_fun(_u17419, tc_prod(_u17416, _u17417))), hAPP(hAPP(c_COMBB(tc_fun(_u17417, tc_prod(_u17416, _u17417)), tc_fun(tc_fun(_u17419, _u17417), tc_fun(_u17419, tc_prod(_u17416, _u17417))), _u17416), c_COMBB(_u17417, tc_prod(_u17416, _u17417), _u17419)), c_Product__Type_OPair(_u17416, _u17417))), _u17420))), hAPP(hAPP(c_List_Ozip(_u17416, _u17419), _u17418), _u17421))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17422, _u17423), _u17424), hAPP(hAPP(c_List_Oappend(_u17422), _u17425), _u17426)) = hAPP(hAPP(c_List_Oappend(_u17423), hAPP(hAPP(c_List_Omap(_u17422, _u17423), _u17424), _u17425)), hAPP(hAPP(c_List_Omap(_u17422, _u17423), _u17424), _u17426))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_hd__map-1, axiom, ( ( _u17427 = c_List_Olist_ONil(_u17428)) | ( hAPP(c_List_Ohd(_u17429), hAPP(hAPP(c_List_Omap(_u17428, _u17429), _u17430), _u17427)) = hAPP(_u17430, hAPP(c_List_Ohd(_u17428), _u17427))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17431), _u17432), hAPP(hAPP(c_List_Omap(_u17433, _u17431), _u17434), _u17435)) = hAPP(hAPP(c_List_Omap(_u17433, _u17431), _u17434), hAPP(hAPP(c_List_Odrop(_u17433), _u17432), _u17435))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u17436, _u17437, hAPP(hAPP(c_List_Omap(_u17438, _u17436), _u17439), _u17440)) = c_List_Olist_Olist__size(_u17438, hAPP(c_Fun_Ocomp(_u17436, tc_Nat_Onat, _u17438, _u17437), _u17439), _u17440)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17441), tc_List_Olist(_u17442), tc_List_Olist(_u17443), hAPP(c_List_Omap(_u17441, _u17442), _u17444)), hAPP(c_List_Omap(_u17443, _u17441), _u17445)) = hAPP(c_List_Omap(_u17443, _u17442), hAPP(c_Fun_Ocomp(_u17441, _u17442, _u17443, _u17444), _u17445))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17446), tc_List_Olist(_u17447), tc_List_Olist(_u17448), hAPP(c_List_Omap(_u17446, _u17447), _u17449)), hAPP(c_List_Omap(_u17448, _u17446), _u17450)) = hAPP(c_List_Omap(_u17448, _u17447), hAPP(c_Fun_Ocomp(_u17446, _u17447, _u17448, _u17449), _u17450))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17451, _u17452), _u17453), hAPP(hAPP(c_List_Omap(_u17454, _u17451), _u17455), _u17456)) = hAPP(hAPP(c_List_Omap(_u17454, _u17452), hAPP(c_Fun_Ocomp(_u17451, _u17452, _u17454, _u17453), _u17455)), _u17456)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17457, _u17458), _u17459), hAPP(hAPP(c_List_Omap(_u17460, _u17457), _u17461), _u17462)) = hAPP(hAPP(c_List_Omap(_u17460, _u17458), hAPP(c_Fun_Ocomp(_u17457, _u17458, _u17460, _u17459), _u17461)), _u17462)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17463, _u17463), c_COMBI(_u17463)) = c_Fun_Oid(tc_List_Olist(_u17463))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17464, _u17464), c_Fun_Oid(_u17464)) = c_Fun_Oid(tc_List_Olist(_u17464))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17465), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17467))) | ( hAPP(hAPP(c_List_Onth(_u17468), hAPP(hAPP(c_List_Omap(_u17466, _u17468), _u17469), _u17467)), _u17465) = hAPP(_u17469, hAPP(hAPP(c_List_Onth(_u17466), _u17467), _u17465))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17470), _u17471), hAPP(c_List_Oset(_u17470), _u17472))) | ( hAPP(hAPP(c_List_Omap(_u17470, _u17473), c_Fun_Ofun__upd(_u17470, _u17473, _u17474, _u17471, _u17475)), _u17472) = hAPP(hAPP(c_List_Omap(_u17470, _u17473), _u17474), _u17472)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17480), hAPP(hAPP(c_List_Omap(_u17482, _u17480), _u17484), _u17486))) | hBOOL(hAPP(c_List_Odistinct(_u17482), _u17486)) )).
% 12.29/12.50 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17480), hAPP(hAPP(c_List_Omap(_u17482, _u17480), _u17484), _u17486))) | c_Fun_Oinj__on(_u17482, _u17480, _u17484, hAPP(c_List_Oset(_u17482), _u17486)) )).
% 12.29/12.50 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17483), _u17487)) | ~c_Fun_Oinj__on(_u17483, _u17481, _u17485, hAPP(c_List_Oset(_u17483), _u17487)) | hBOOL(hAPP(c_List_Odistinct(_u17481), hAPP(hAPP(c_List_Omap(_u17483, _u17481), _u17485), _u17487))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u17488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17488), hAPP(c_Groups_Oabs__class_Oabs(_u17488), hAPP(c_List_Omonoid__add__class_Olistsum(_u17488), _u17489))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17488), hAPP(hAPP(c_List_Omap(_u17488, _u17488), c_Groups_Oabs__class_Oabs(_u17488)), _u17489)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u17490) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17490), hAPP(c_List_Omonoid__add__class_Olistsum(_u17490), hAPP(hAPP(c_List_Omap(_u17491, _u17490), _u17492), _u17493))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17490), hAPP(hAPP(c_List_Omap(_u17491, _u17490), hAPP(c_Fun_Ocomp(_u17490, _u17490, _u17491, c_Groups_Ouminus__class_Ouminus(_u17490)), _u17492)), _u17493))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17497), tc_List_Olist(_u17499), hAPP(c_List_Omap(_u17497, _u17499), _u17501), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17497), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17497, _u17499, _u17501, c_Orderings_Otop__class_Otop(tc_fun(_u17497, tc_HOL_Obool))) )).
% 12.29/12.50 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17498, _u17500, _u17502, c_Orderings_Otop__class_Otop(tc_fun(_u17498, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17498), tc_List_Olist(_u17500), hAPP(c_List_Omap(_u17498, _u17500), _u17502), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17498), tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17503), tc_List_Olist(_u17504), hAPP(c_List_Omap(_u17503, _u17504), _u17505), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17503), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17503, _u17504, _u17505, c_Orderings_Otop__class_Otop(tc_fun(_u17503, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17506) | ~hBOOL(hAPP(c_List_Odistinct(_u17507), _u17508)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17506), hAPP(hAPP(c_List_Omap(_u17507, _u17506), _u17509), _u17508)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17507, _u17506), _u17509), hAPP(c_List_Oset(_u17507), _u17508))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u17510) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17510), hAPP(hAPP(c_List_Omap(_u17511, _u17510), hAPP(c_COMBK(_u17510, _u17511), _u17512)), _u17513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17510), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17510), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17511)), _u17513))), _u17512)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17514, _u17515, hAPP(hAPP(c_List_Olist_OCons(_u17514), _u17516), _u17517), _u17518) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17514, _u17515)), hAPP(hAPP(c_List_Omap(_u17515, tc_prod(_u17514, _u17515)), hAPP(c_Product__Type_OPair(_u17514, _u17515), _u17516)), _u17518)), c_Enum_Oproduct(_u17514, _u17515, _u17517, _u17518))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17519) | ~hBOOL(hAPP(hAPP(c_member(_u17520), _u17521), hAPP(c_List_Oset(_u17520), _u17522))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17519), hAPP(hAPP(c_List_Omap(_u17520, _u17519), _u17523), _u17522)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17519), hAPP(_u17523, _u17521)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17519), hAPP(hAPP(c_List_Omap(_u17520, _u17519), _u17523), c_List_Oremove1(_u17520, _u17521, _u17522))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17524, _u17525, _u17526, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17524, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17524), tc_fun(_u17524, tc_HOL_Obool), c_List_Oset(_u17524)), _u17527))) | c_Fun_Oinj__on(tc_List_Olist(_u17524), tc_List_Olist(_u17525), hAPP(c_List_Omap(_u17524, _u17525), _u17526), _u17527) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17528) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17529), _u17530)) | ( c_Nitpick_Osetsum_H(_u17529, _u17528, _u17531, _u17530) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17528), hAPP(hAPP(c_List_Omap(_u17529, _u17528), _u17531), c_Hilbert__Choice_OEps(tc_List_Olist(_u17529), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17529), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17529)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17529), tc_fun(_u17529, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17529, tc_HOL_Obool), tc_fun(tc_fun(_u17529, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17529)), c_fequal), c_List_Oset(_u17529))), _u17530))), c_List_Odistinct(_u17529)))))) )).
% 12.29/12.50 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17528) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17529), _u17530)) | ( c_Nitpick_Osetsum_H(_u17529, _u17528, _u17531, _u17530) = c_Groups_Ozero__class_Ozero(_u17528)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17532), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17533)), _u17534))) | ( hAPP(c_Random_Opick(_u17533, hAPP(hAPP(c_List_Omap(_u17533, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17533)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17533), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17534)), hAPP(c_Code__Numeral_Oof__nat, _u17532)) = hAPP(hAPP(c_List_Onth(_u17533), _u17534), _u17532)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17535, hAPP(hAPP(c_List_Olist_OCons(_u17535), _u17536), _u17537)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535))), c_Enum_Osublists(_u17535, _u17537)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17535)), tc_fun(tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535))), tc_List_Olist(tc_List_Olist(_u17535))), c_List_Oappend(tc_List_Olist(_u17535))), hAPP(c_List_Omap(tc_List_Olist(_u17535), tc_List_Olist(_u17535)), hAPP(c_List_Olist_OCons(_u17535), _u17536)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17535)))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 12.29/12.50 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, _u17540)), hAPP(c_Code__Numeral_Oof__nat, _u17542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17540), _u17542)) )).
% 12.29/12.50 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17541), _u17543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17541)), hAPP(c_Code__Numeral_Oof__nat, _u17543))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zero__code__numeral__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17546) != hAPP(c_Code__Numeral_Oof__nat, _u17548)) | ( _u17546 = _u17548) )).
% 12.29/12.50 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u17547 != _u17549) | ( hAPP(c_Code__Numeral_Oof__nat, _u17547) = hAPP(c_Code__Numeral_Oof__nat, _u17549)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Code__Numeral_Oof__nat__code-1, axiom, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 12.29/12.50 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, _u17550)), hAPP(c_Code__Numeral_Oof__nat, _u17551)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17550), _u17551))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_one__code__numeral__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17552), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17553), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17552) != hAPP(c_Code__Numeral_Oof__nat, _u17553)) | ( _u17552 = _u17553) )).
% 12.29/12.50 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17552), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17553), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17552 != _u17553) | ( hAPP(c_Code__Numeral_Oof__nat, _u17552) = hAPP(c_Code__Numeral_Oof__nat, _u17553)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17554)), _u17555) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17556)), _u17557)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17554, _u17556), _u17554), c_Product__Type_Ofst(_u17554, _u17556)), hAPP(hAPP(c_List_Ozip(_u17554, _u17556), _u17555), _u17557)) = _u17555) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), _u17559) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17560)), _u17561)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17558, _u17560), _u17560), c_Product__Type_Osnd(_u17558, _u17560)), hAPP(hAPP(c_List_Ozip(_u17558, _u17560), _u17559), _u17561)) = _u17561) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_number__of__code__numeral__def-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17562, _u17563), hAPP(hAPP(c_List_Omap(tc_prod(_u17562, _u17563), _u17562), c_Product__Type_Ofst(_u17562, _u17563)), _u17564)), hAPP(hAPP(c_List_Omap(tc_prod(_u17562, _u17563), _u17563), c_Product__Type_Osnd(_u17562, _u17563)), _u17564)) = _u17564) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 12.29/12.50 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, _u17565)), hAPP(c_Code__Numeral_Oof__nat, _u17566)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17565), _u17566))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 12.29/12.50 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, _u17569)), hAPP(c_Code__Numeral_Oof__nat, _u17571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17569), _u17571)) )).
% 12.29/12.50 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17570), _u17572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17570)), hAPP(c_Code__Numeral_Oof__nat, _u17572))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17573), _u17574)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17573, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17573), tc_fun(_u17573, tc_HOL_Obool)), c_List_Oset(_u17573)), c_Enum_Osublists(_u17573, _u17574)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17575), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17576), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17576)), _u17577)))) | hBOOL(hAPP(hAPP(c_member(_u17576), hAPP(c_Random_Opick(_u17576, _u17577), _u17575)), hAPP(c_List_Oset(_u17576), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17576), _u17576), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17576)), _u17577)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17581)) | ( hAPP(hAPP(c_List_Ozip(_u17578, _u17580), _u17579), _u17581) != _u17582) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17578), c_Product__Type_Ofst(_u17578, _u17580)), _u17582) = _u17579) )).
% 12.29/12.50 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17581)) | ( hAPP(hAPP(c_List_Ozip(_u17578, _u17580), _u17579), _u17581) != _u17582) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17580), c_Product__Type_Osnd(_u17578, _u17580)), _u17582) = _u17581) )).
% 12.29/12.50 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17581)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17578), c_Product__Type_Ofst(_u17578, _u17580)), _u17582) != _u17579) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17580), c_Product__Type_Osnd(_u17578, _u17580)), _u17582) != _u17581) | ( hAPP(hAPP(c_List_Ozip(_u17578, _u17580), _u17579), _u17581) = _u17582) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u17583, _u17584, _u17585) = 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(_u17583, tc_Nat_Onat), _u17584), _u17585))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17583)), _u17585))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u17587 = 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)), _u17587)) )).
% 12.29/12.50 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)), _u17588)) | ( _u17588 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17589) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17589), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17589), _u17590), c_List_Oupto(_u17591, _u17592))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17589), _u17590), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17591, _u17592)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17593) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17593), _u17594), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17595, _u17596))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17593), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17593), _u17594), c_List_Oupto(_u17595, _u17596)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 12.29/12.50 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, _u17597), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17597)), _u17598)))) | hBOOL(hAPP(hAPP(c_member(_u17597), hAPP(c_Product__Type_Ofst(_u17597, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17597, _u17598), _u17599))), hAPP(c_List_Oset(_u17597), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17597), _u17597), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17597)), _u17598)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u17600, _u17601) = 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(_u17600, 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, _u17600), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17600)), _u17601)))), hAPP(hAPP(c_COMBB(_u17600, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17600, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17600, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17600, _u17601)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_select__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u17602, _u17603) = 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(_u17602, 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(_u17602)), _u17603)))), hAPP(hAPP(c_COMBB(_u17602, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17602, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17602, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17602, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17602), _u17603)), c_Code__Numeral_Onat__of)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17604)), hAPP(c_Code__Numeral_Oof__nat, _u17605)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17604), _u17605))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17606)) = _u17606) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17607)) = _u17607) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17608)) = _u17608) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17609), _u17610) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17609)), hAPP(c_Code__Numeral_Onat__of, _u17610)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17613) != hAPP(c_Code__Numeral_Onat__of, _u17615)) | ( _u17613 = _u17615) )).
% 12.29/12.50 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17614 != _u17616) | ( hAPP(c_Code__Numeral_Onat__of, _u17614) = hAPP(c_Code__Numeral_Onat__of, _u17616)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17619) != hAPP(c_Code__Numeral_Onat__of, _u17621)) | ( _u17619 = _u17621) )).
% 12.29/12.50 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17620 != _u17622) | ( hAPP(c_Code__Numeral_Onat__of, _u17620) = hAPP(c_Code__Numeral_Onat__of, _u17622)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_type__definition__code__numeral-1, axiom, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17625), _u17627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17625)), hAPP(c_Code__Numeral_Onat__of, _u17627))) )).
% 12.29/12.50 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, _u17626)), hAPP(c_Code__Numeral_Onat__of, _u17628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17626), _u17628)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17629)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 12.29/12.50 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), _u17630)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17630)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_int__of__def-1, axiom, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17633), _u17635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17633)), hAPP(c_Code__Numeral_Onat__of, _u17635))) )).
% 12.29/12.50 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, _u17634)), hAPP(c_Code__Numeral_Onat__of, _u17636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17634), _u17636)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17637) = c_Code__Numeral_Onat__of__aux(_u17637, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17638, _u17639) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17638)), _u17639)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17640) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17640)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17641), _u17642) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17641)), hAPP(c_Code__Numeral_Onat__of, _u17642)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17643), 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, _u17643)) = _u17643) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17644), _u17645) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17644)), hAPP(c_Code__Numeral_Onat__of, _u17645)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17646), _u17647) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17646)), hAPP(c_Code__Numeral_Onat__of, _u17647)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17648), _u17649) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17648), _u17649)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17650, _u17651) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17650), hAPP(c_Code__Numeral_Onat__of, _u17651)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17652 = 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, _u17652)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17652))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17654) | ~class_Groups_Oordered__ab__semigroup__add(_u17654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17654), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17657), _u17656))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17658), _u17656)))) | hBOOL(hAPP(hAPP(c_member(_u17655), skolem464(_u17658, _u17657, _u17656, _u17655, _u17654)), hAPP(c_List_Oset(_u17655), _u17656))) )).
% 12.29/12.50 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17654) | ~class_Groups_Oordered__ab__semigroup__add(_u17654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17654), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17657), _u17656))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17658), _u17656)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17654), hAPP(_u17657, skolem464(_u17658, _u17657, _u17656, _u17655, _u17654))), hAPP(_u17658, skolem464(_u17658, _u17657, _u17656, _u17655, _u17654)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17659), _u17660) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17659, 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)))), _u17660)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u17661, _u17662, _u17663) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17661), tc_List_Olist(_u17661)), _u17664), _u17665)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17661, tc_HOL_Obool)), hAPP(c_List_Oset(_u17661), _u17664)), hAPP(c_List_Oset(_u17661), _u17665)) = hAPP(c_List_Oset(_u17661), _u17663)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17666)), _u17667), c_List_Olists(_u17666, _u17668))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17666)), _u17667), c_List_Olists(_u17666, _u17669))) | hBOOL(hAPP(c_List_Olistsp(_u17666, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17666, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17666, tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17666)), _u17668)), hAPP(hAPP(c_COMBC(_u17666, tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17666)), _u17669))), _u17667)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17670, _u17671), c_List_Olist_ONil(_u17670))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17672, _u17673), c_List_Olist_ONil(_u17672))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17679, _u17681), _u17683)) | ~hBOOL(hAPP(hAPP(c_member(_u17679), _u17674), hAPP(c_List_Oset(_u17679), _u17683))) | hBOOL(hAPP(_u17681, _u17674)) )).
% 12.29/12.50 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17680, _u17682), _u17684)) | hBOOL(hAPP(hAPP(c_member(_u17680), skolem465(_u17684, _u17682, _u17680)), hAPP(c_List_Oset(_u17680), _u17684))) )).
% 12.29/12.50 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17680, _u17682), _u17684)) | ~hBOOL(hAPP(_u17682, skolem465(_u17684, _u17682, _u17680))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17685, _u17686), _u17687)) | ~hBOOL(hAPP(c_List_Olistsp(_u17685, _u17688), _u17687)) | hBOOL(hAPP(c_List_Olistsp(_u17685, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17685, tc_HOL_Obool)), _u17686), _u17688)), _u17687)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u17689, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17689, tc_HOL_Obool)), _u17690), _u17691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17689), tc_HOL_Obool)), c_List_Olistsp(_u17689, _u17690)), c_List_Olistsp(_u17689, _u17691))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17696, hAPP(hAPP(c_COMBS(_u17696, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17696), c_fconj), _u17698)), _u17700)), _u17702)) | hBOOL(hAPP(c_List_Olistsp(_u17696, _u17698), _u17702)) )).
% 12.29/12.50 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17696, hAPP(hAPP(c_COMBS(_u17696, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17696), c_fconj), _u17698)), _u17700)), _u17702)) | hBOOL(hAPP(c_List_Olistsp(_u17696, _u17700), _u17702)) )).
% 12.29/12.50 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17697, _u17699), _u17703)) | ~hBOOL(hAPP(c_List_Olistsp(_u17697, _u17701), _u17703)) | hBOOL(hAPP(c_List_Olistsp(_u17697, hAPP(hAPP(c_COMBS(_u17697, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17697), c_fconj), _u17699)), _u17701)), _u17703)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17708, _u17710), hAPP(hAPP(c_List_Olist_OCons(_u17708), _u17712), _u17714))) | hBOOL(hAPP(_u17710, _u17712)) )).
% 12.29/12.50 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17708, _u17710), hAPP(hAPP(c_List_Olist_OCons(_u17708), _u17712), _u17714))) | hBOOL(hAPP(c_List_Olistsp(_u17708, _u17710), _u17714)) )).
% 12.29/12.50 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u17711, _u17713)) | ~hBOOL(hAPP(c_List_Olistsp(_u17709, _u17711), _u17715)) | hBOOL(hAPP(c_List_Olistsp(_u17709, _u17711), hAPP(hAPP(c_List_Olist_OCons(_u17709), _u17713), _u17715))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), hAPP(hAPP(c_List_Oappend(_u17720), _u17724), _u17726))) | hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), _u17724)) )).
% 12.29/12.50 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), hAPP(hAPP(c_List_Oappend(_u17720), _u17724), _u17726))) | hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), _u17726)) )).
% 12.29/12.50 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17721, _u17723), _u17725)) | ~hBOOL(hAPP(c_List_Olistsp(_u17721, _u17723), _u17727)) | hBOOL(hAPP(c_List_Olistsp(_u17721, _u17723), hAPP(hAPP(c_List_Oappend(_u17721), _u17725), _u17727))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17728, tc_HOL_Obool)), _u17729), _u17730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17728), tc_HOL_Obool)), c_List_Olistsp(_u17728, _u17729)), c_List_Olistsp(_u17728, _u17730))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u17733, _u17734, _u17735) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17733), tc_List_Olist(_u17733)), _u17736), _u17737)) | ~hBOOL(hAPP(hAPP(c_member(_u17733), _u17731), hAPP(c_List_Oset(_u17733), _u17736))) | hBOOL(hAPP(_u17734, _u17731)) )).
% 12.29/12.50 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u17733, _u17734, _u17735) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17733), tc_List_Olist(_u17733)), _u17736), _u17737)) | ~hBOOL(hAPP(hAPP(c_member(_u17733), _u17732), hAPP(c_List_Oset(_u17733), _u17737))) | ~hBOOL(hAPP(_u17734, _u17732)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u17738, _u17739, c_List_Olist_ONil(_u17738)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17738), tc_List_Olist(_u17738)), c_List_Olist_ONil(_u17738)), c_List_Olist_ONil(_u17738))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17743, hAPP(hAPP(c_COMBC(_u17743, tc_fun(_u17743, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17743)), _u17745)), _u17747)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17743)), _u17747), c_List_Olists(_u17743, _u17745))) )).
% 12.29/12.50 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17744)), _u17748), c_List_Olists(_u17744, _u17746))) | hBOOL(hAPP(c_List_Olistsp(_u17744, hAPP(hAPP(c_COMBC(_u17744, tc_fun(_u17744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17744)), _u17746)), _u17748)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u17749, _u17750, hAPP(hAPP(c_List_Olist_OCons(_u17749), _u17751), _u17752)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17749), tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17749), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17749), tc_fun(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_fun(tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_List_Olist(_u17749)), c_COMBS(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_List_Olist(_u17749), tc_fun(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_List_Olist(_u17749)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_fun(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_List_Olist(_u17749)), hAPP(c_If(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), hAPP(_u17750, _u17751)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17749), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_List_Olist(_u17749)), c_Product__Type_OPair(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), hAPP(c_List_Olist_OCons(_u17749), _u17751))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17749), tc_fun(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_fun(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_List_Olist(_u17749)), c_COMBB(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_List_Olist(_u17749))), c_Product__Type_OPair(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(c_List_Olist_OCons(_u17749), _u17751)))), c_List_Opartition(_u17749, _u17750, _u17752))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u17753, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17753, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17753, tc_fun(_u17753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17753)), _u17754)), hAPP(hAPP(c_COMBC(_u17753, tc_fun(_u17753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17753)), _u17755))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17753), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17753), tc_fun(tc_List_Olist(_u17753), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17753))), c_List_Olists(_u17753, _u17754))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17753), tc_fun(tc_List_Olist(_u17753), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17753))), c_List_Olists(_u17753, _u17755)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u17763, _u17765, _u17767, _u17769, _u17771) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17769) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17771)) )).
% 12.29/12.50 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u17763, _u17765, _u17767, _u17769, _u17771) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17763, _u17765)), _u17756), hAPP(c_List_Oset(tc_prod(_u17763, _u17765)), hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17769), _u17771)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17763, _u17765, tc_HOL_Obool), _u17767), _u17756)) )).
% 12.29/12.50 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u17764, _u17766, _u17768, _u17770, _u17772) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), _u17770) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17766)), _u17772)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17764, _u17766)), skolem466(_u17772, _u17770, _u17768, _u17766, _u17764)), hAPP(c_List_Oset(tc_prod(_u17764, _u17766)), hAPP(hAPP(c_List_Ozip(_u17764, _u17766), _u17770), _u17772)))) )).
% 12.29/12.50 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u17764, _u17766, _u17768, _u17770, _u17772) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), _u17770) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17766)), _u17772)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17764, _u17766, tc_HOL_Obool), _u17768), skolem466(_u17772, _u17770, _u17768, _u17766, _u17764))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17774), _u17777), hAPP(c_List_Oset(_u17774), _u17775))) | hBOOL(hAPP(_u17776, _u17777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem467(_u17777, _u17776, _u17775, _u17774)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17774)), _u17775))) )).
% 12.29/12.50 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17774), _u17777), hAPP(c_List_Oset(_u17774), _u17775))) | hBOOL(hAPP(_u17776, _u17777)) | ~hBOOL(hAPP(_u17776, hAPP(hAPP(c_List_Onth(_u17774), _u17775), skolem467(_u17777, _u17776, _u17775, _u17774)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u17785, _u17787, _u17789, hAPP(hAPP(c_List_Omap(_u17791, _u17785), _u17793), _u17795), _u17797) | c_List_Olist__all2(_u17791, _u17787, hAPP(hAPP(c_COMBB(_u17785, tc_fun(_u17787, tc_HOL_Obool), _u17791), _u17789), _u17793), _u17795, _u17797) )).
% 12.29/12.50 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u17792, _u17788, hAPP(hAPP(c_COMBB(_u17786, tc_fun(_u17788, tc_HOL_Obool), _u17792), _u17790), _u17794), _u17796, _u17798) | c_List_Olist__all2(_u17786, _u17788, _u17790, hAPP(hAPP(c_List_Omap(_u17792, _u17786), _u17794), _u17796), _u17798) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u17806, _u17808, _u17810, _u17812, hAPP(hAPP(c_List_Omap(_u17814, _u17808), _u17816), _u17818)) | c_List_Olist__all2(_u17806, _u17814, hAPP(hAPP(c_COMBC(_u17806, tc_fun(_u17814, _u17808), tc_fun(_u17814, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17808, tc_HOL_Obool), tc_fun(tc_fun(_u17814, _u17808), tc_fun(_u17814, tc_HOL_Obool)), _u17806), c_COMBB(_u17808, tc_HOL_Obool, _u17814)), _u17810)), _u17816), _u17812, _u17818) )).
% 12.29/12.50 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u17807, _u17815, hAPP(hAPP(c_COMBC(_u17807, tc_fun(_u17815, _u17809), tc_fun(_u17815, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17809, tc_HOL_Obool), tc_fun(tc_fun(_u17815, _u17809), tc_fun(_u17815, tc_HOL_Obool)), _u17807), c_COMBB(_u17809, tc_HOL_Obool, _u17815)), _u17811)), _u17817), _u17813, _u17819) | c_List_Olist__all2(_u17807, _u17809, _u17811, _u17813, hAPP(hAPP(c_List_Omap(_u17815, _u17809), _u17817), _u17819)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), _u17821) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), _u17823)) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, hAPP(hAPP(c_List_Oappend(_u17820), _u17821), _u17825), hAPP(hAPP(c_List_Oappend(_u17822), _u17823), _u17826)) | c_List_Olist__all2(_u17820, _u17822, _u17824, _u17821, _u17823) )).
% 12.29/12.50 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), _u17821) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), _u17823)) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, hAPP(hAPP(c_List_Oappend(_u17820), _u17821), _u17825), hAPP(hAPP(c_List_Oappend(_u17822), _u17823), _u17826)) | c_List_Olist__all2(_u17820, _u17822, _u17824, _u17825, _u17826) )).
% 12.29/12.50 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), _u17821) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), _u17823)) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, _u17821, _u17823) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, _u17825, _u17826) | c_List_Olist__all2(_u17820, _u17822, _u17824, hAPP(hAPP(c_List_Oappend(_u17820), _u17821), _u17825), hAPP(hAPP(c_List_Oappend(_u17822), _u17823), _u17826)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u17827, _u17828, _u17829, _u17830, _u17831) | ~c_List_Olist__all2(_u17827, _u17828, _u17829, _u17832, _u17833) | c_List_Olist__all2(_u17827, _u17828, _u17829, hAPP(hAPP(c_List_Oappend(_u17827), _u17830), _u17832), hAPP(hAPP(c_List_Oappend(_u17828), _u17831), _u17833)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u17834, _u17835, _u17836, _u17837, _u17838) | c_List_Olist__all2(_u17834, _u17835, _u17836, hAPP(hAPP(c_List_Odrop(_u17834), _u17839), _u17837), hAPP(hAPP(c_List_Odrop(_u17835), _u17839), _u17838)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u17847, _u17849, _u17851, hAPP(hAPP(c_List_Olist_OCons(_u17847), _u17853), _u17855), hAPP(hAPP(c_List_Olist_OCons(_u17849), _u17857), _u17859)) | hBOOL(hAPP(hAPP(_u17851, _u17853), _u17857)) )).
% 12.29/12.50 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u17847, _u17849, _u17851, hAPP(hAPP(c_List_Olist_OCons(_u17847), _u17853), _u17855), hAPP(hAPP(c_List_Olist_OCons(_u17849), _u17857), _u17859)) | c_List_Olist__all2(_u17847, _u17849, _u17851, _u17855, _u17859) )).
% 12.29/12.50 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u17852, _u17854), _u17858)) | ~c_List_Olist__all2(_u17848, _u17850, _u17852, _u17856, _u17860) | c_List_Olist__all2(_u17848, _u17850, _u17852, hAPP(hAPP(c_List_Olist_OCons(_u17848), _u17854), _u17856), hAPP(hAPP(c_List_Olist_OCons(_u17850), _u17858), _u17860)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__eq-1, axiom, ( ( _u17864 != _u17866) | c_List_Olist__all2(_u17868, _u17868, c_fequal, _u17864, _u17866) )).
% 12.29/12.50 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u17869, _u17869, c_fequal, _u17865, _u17867) | ( _u17865 = _u17867) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u17870, _u17871, _u17872, _u17873, _u17874) | c_List_Olist__all2(_u17870, _u17871, _u17872, hAPP(hAPP(c_List_Otake(_u17870), _u17875), _u17873), hAPP(hAPP(c_List_Otake(_u17871), _u17875), _u17874)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u17876, _u17877, _u17878, _u17879, _u17880) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17876)), _u17879) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17877)), _u17880)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__Nil-1, axiom, ( ( _u17891 = c_List_Olist_ONil(_u17887)) | ~c_List_Olist__all2(_u17885, _u17887, _u17889, c_List_Olist_ONil(_u17885), _u17891) )).
% 12.29/12.50 cnf(fact_list__all2__Nil-2, axiom, ( ( _u17892 != c_List_Olist_ONil(_u17888)) | c_List_Olist__all2(_u17886, _u17888, _u17890, c_List_Olist_ONil(_u17886), _u17892) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u17897, _u17899, _u17901, _u17903, c_List_Olist_ONil(_u17899)) | ( _u17903 = c_List_Olist_ONil(_u17897)) )).
% 12.29/12.50 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u17904 != c_List_Olist_ONil(_u17898)) | c_List_Olist__all2(_u17898, _u17900, _u17902, _u17904, c_List_Olist_ONil(_u17900)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u17905, _u17906, _u17907, _u17908, _u17909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17910), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), _u17909))) | hBOOL(hAPP(hAPP(_u17907, hAPP(hAPP(c_List_Onth(_u17905), _u17908), _u17910)), hAPP(hAPP(c_List_Onth(_u17906), _u17909), _u17910))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u17911, _u17912, _u17913, _u17914, _u17915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17916), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17911)), _u17914))) | hBOOL(hAPP(hAPP(_u17913, hAPP(hAPP(c_List_Onth(_u17911), _u17914), _u17916)), hAPP(hAPP(c_List_Onth(_u17912), _u17915), _u17916))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u17924, _u17926, _u17928, _u17930, _u17932) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17924)), _u17930) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), _u17932)) )).
% 12.29/12.50 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u17924, _u17926, _u17928, _u17930, _u17932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17917), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17924)), _u17930))) | hBOOL(hAPP(hAPP(_u17928, hAPP(hAPP(c_List_Onth(_u17924), _u17930), _u17917)), hAPP(hAPP(c_List_Onth(_u17926), _u17932), _u17917))) )).
% 12.29/12.50 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u17925, _u17927, _u17929, _u17931, _u17933) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17925)), _u17931) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17927)), _u17933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u17933, _u17931, _u17929, _u17927, _u17925)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17925)), _u17931))) )).
% 12.29/12.50 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u17925, _u17927, _u17929, _u17931, _u17933) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17925)), _u17931) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17927)), _u17933)) | ~hBOOL(hAPP(hAPP(_u17929, hAPP(hAPP(c_List_Onth(_u17925), _u17931), skolem468(_u17933, _u17931, _u17929, _u17927, _u17925))), hAPP(hAPP(c_List_Onth(_u17927), _u17933), skolem468(_u17933, _u17931, _u17929, _u17927, _u17925)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u17934, _u17935, _u17936, _u17937, _u17938) | ~hBOOL(hAPP(hAPP(_u17936, _u17939), _u17940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17941), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17935)), _u17938))) | c_List_Olist__all2(_u17934, _u17935, _u17936, hAPP(hAPP(c_List_Olist__update(_u17934, _u17937), _u17941), _u17939), hAPP(hAPP(c_List_Olist__update(_u17935, _u17938), _u17941), _u17940)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17942), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17943)), _u17944))) | ~c_List_Olist__all2(_u17943, _u17945, _u17946, _u17944, _u17947) | ~hBOOL(hAPP(hAPP(_u17946, _u17948), _u17949)) | c_List_Olist__all2(_u17943, _u17945, _u17946, hAPP(hAPP(c_List_Olist__update(_u17943, _u17944), _u17942), _u17948), hAPP(hAPP(c_List_Olist__update(_u17945, _u17947), _u17942), _u17949)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17951)), _u17953) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17952)), _u17954)) | c_List_Olist__all2(_u17951, _u17952, _u17955, _u17953, _u17954) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17951, _u17952)), skolem469(_u17955, _u17954, _u17953, _u17952, _u17951)), hAPP(c_List_Oset(tc_prod(_u17951, _u17952)), hAPP(hAPP(c_List_Ozip(_u17951, _u17952), _u17953), _u17954)))) )).
% 12.29/12.50 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17951)), _u17953) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17952)), _u17954)) | c_List_Olist__all2(_u17951, _u17952, _u17955, _u17953, _u17954) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17951, _u17952, tc_HOL_Obool), _u17955), skolem469(_u17955, _u17954, _u17953, _u17952, _u17951))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17956, _u17957, _u17958) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17956, _u17957, _u17958), _u17959), hAPP(c_List_Oset(_u17956), _u17960)) = hAPP(c_List_Ofoldl(_u17957, _u17956, hAPP(c_COMBC(_u17956, _u17957, _u17957), _u17958), _u17959), c_List_Oremdups(_u17956, _u17960))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17961), c_List_Oremdups(_u17961, _u17962))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 12.29/12.50 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(_u17963)), c_List_Oremdups(_u17963, _u17964))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17963)), _u17964))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17967, _u17969) != c_List_Olist_ONil(_u17967)) | ( _u17969 = c_List_Olist_ONil(_u17967)) )).
% 12.29/12.50 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17970 != c_List_Olist_ONil(_u17968)) | ( c_List_Oremdups(_u17968, _u17970) = c_List_Olist_ONil(_u17968)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17973) != c_List_Oremdups(_u17973, _u17975)) | ( _u17975 = c_List_Olist_ONil(_u17973)) )).
% 12.29/12.50 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17976 != c_List_Olist_ONil(_u17974)) | ( c_List_Olist_ONil(_u17974) = c_List_Oremdups(_u17974, _u17976)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17977, c_List_Olist_ONil(_u17977)) = c_List_Olist_ONil(_u17977)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17980)), c_List_Oremdups(_u17980, _u17982)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17980)), _u17982)) | ( c_List_Oremdups(_u17980, _u17982) = _u17982) )).
% 12.29/12.50 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17981, _u17983) != _u17983) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17981)), c_List_Oremdups(_u17981, _u17983)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17981)), _u17983)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17984), c_List_Oremdups(_u17984, _u17985)) = hAPP(c_List_Oset(_u17984), _u17985)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17986, c_List_Oremdups(_u17986, _u17987)) = c_List_Oremdups(_u17986, _u17987)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17988), _u17989)) | ( c_List_Oremdups(_u17988, _u17989) = _u17989) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17992, _u17994) != _u17994) | hBOOL(hAPP(c_List_Odistinct(_u17992), _u17994)) )).
% 12.29/12.50 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17993), _u17995)) | ( c_List_Oremdups(_u17993, _u17995) = _u17995) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17996, hAPP(hAPP(c_List_Omap(_u17997, _u17996), _u17998), c_List_Oremdups(_u17997, _u17999))) = c_List_Oremdups(_u17996, hAPP(hAPP(c_List_Omap(_u17997, _u17996), _u17998), _u17999))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18000), _u18001)) | ( c_List_Oremove1(_u18000, _u18002, c_List_Oremdups(_u18000, _u18001)) = c_List_Oremdups(_u18000, c_List_Oremove1(_u18000, _u18002, _u18001))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18006), _u18008), hAPP(c_List_Oset(_u18006), _u18010))) | ( c_List_Oremdups(_u18006, hAPP(hAPP(c_List_Olist_OCons(_u18006), _u18008), _u18010)) = c_List_Oremdups(_u18006, _u18010)) )).
% 12.29/12.50 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18007), _u18009), hAPP(c_List_Oset(_u18007), _u18011))) | ( c_List_Oremdups(_u18007, hAPP(hAPP(c_List_Olist_OCons(_u18007), _u18009), _u18011)) = hAPP(hAPP(c_List_Olist_OCons(_u18007), _u18009), c_List_Oremdups(_u18007, _u18011))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18012)), c_List_Oremdups(_u18012, _u18013)) = hAPP(c_Finite__Set_Ocard(_u18012), hAPP(c_List_Oset(_u18012), _u18013))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18014)), c_List_Oremdups(_u18014, c_List_Oconcat(_u18014, _u18015))) = hAPP(c_Finite__Set_Ocard(_u18014), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18014), tc_fun(_u18014, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18014)), _u18015)), c_List_Oset(_u18014)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18016) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18016, hAPP(c_List_Oset(_u18016), _u18017)) = c_List_Olinorder__class_Osort__key(_u18016, _u18016, c_COMBI(_u18016), c_List_Oremdups(_u18016, _u18017))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u18018, c_List_Olist_ONil(tc_List_Olist(_u18018))) = c_List_Olist_ONil(_u18018)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u18019, _u18020) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18019), tc_List_Olist(_u18019), c_List_Oappend(_u18019), c_List_Olist_ONil(_u18019)), _u18020)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u18021), tc_List_Olist(_u18021), c_List_Oappend(_u18021), _u18022), _u18023) = hAPP(hAPP(c_List_Oappend(_u18021), _u18022), c_List_Oconcat(_u18021, _u18023))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18024) | ~hBOOL(hAPP(c_List_Odistinct(_u18025), c_List_Olinorder__class_Osort__key(_u18025, _u18024, _u18026, _u18027))) | hBOOL(hAPP(c_List_Odistinct(_u18025), _u18027)) )).
% 12.29/12.50 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u18024) | ~hBOOL(hAPP(c_List_Odistinct(_u18025), _u18027)) | hBOOL(hAPP(c_List_Odistinct(_u18025), c_List_Olinorder__class_Osort__key(_u18025, _u18024, _u18026, _u18027))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18028) | ( hAPP(c_List_Oset(_u18029), c_List_Olinorder__class_Osort__key(_u18029, _u18028, _u18030, _u18031)) = hAPP(c_List_Oset(_u18029), _u18031)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18032) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), c_List_Olinorder__class_Osort__key(_u18033, _u18032, _u18034, _u18035)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18036) | ( c_List_Olinorder__class_Osort__key(_u18037, _u18036, _u18038, c_List_Olist_ONil(_u18037)) = c_List_Olist_ONil(_u18037)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u18039, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18039)), _u18040), _u18041)) = hAPP(hAPP(c_List_Oappend(_u18039), _u18040), c_List_Oconcat(_u18039, _u18041))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u18046, _u18048) != c_List_Olist_ONil(_u18046)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18046)), _u18042), hAPP(c_List_Oset(tc_List_Olist(_u18046)), _u18048))) | ( _u18042 = c_List_Olist_ONil(_u18046)) )).
% 12.29/12.50 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u18047, _u18049) = c_List_Olist_ONil(_u18047)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18047)), skolem470(_u18049, _u18047)), hAPP(c_List_Oset(tc_List_Olist(_u18047)), _u18049))) )).
% 12.29/12.50 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u18047, _u18049) = c_List_Olist_ONil(_u18047)) | ( skolem470(_u18049, _u18047) != c_List_Olist_ONil(_u18047)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u18054) != c_List_Oconcat(_u18054, _u18056)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18054)), _u18050), hAPP(c_List_Oset(tc_List_Olist(_u18054)), _u18056))) | ( _u18050 = c_List_Olist_ONil(_u18054)) )).
% 12.29/12.50 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u18055) = c_List_Oconcat(_u18055, _u18057)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18055)), skolem471(_u18057, _u18055)), hAPP(c_List_Oset(tc_List_Olist(_u18055)), _u18057))) )).
% 12.29/12.50 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u18055) = c_List_Oconcat(_u18055, _u18057)) | ( skolem471(_u18057, _u18055) != c_List_Olist_ONil(_u18055)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18058, _u18059), _u18060), c_List_Oconcat(_u18058, _u18061)) = c_List_Oconcat(_u18059, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18058), tc_List_Olist(_u18059)), hAPP(c_List_Omap(_u18058, _u18059), _u18060)), _u18061))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18062)), c_List_Oconcat(_u18062, _u18063)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18062), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18062))), _u18063))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u18064), c_List_Oconcat(_u18064, _u18065)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18064), tc_fun(_u18064, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18064)), _u18065)), c_List_Oset(_u18064))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18066) | ( c_List_Olinorder__class_Osort__key(_u18067, _u18066, _u18068, hAPP(hAPP(c_List_Olist_OCons(_u18067), _u18069), _u18070)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18067, _u18066, _u18068), _u18069), c_List_Olinorder__class_Osort__key(_u18067, _u18066, _u18068, _u18070))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u18071, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u18071)), _u18072), _u18073)) = hAPP(hAPP(c_List_Oappend(_u18071), c_List_Oconcat(_u18071, _u18072)), c_List_Oconcat(_u18071, _u18073))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18074) | ( c_List_Olinorder__class_Osort__key(_u18074, _u18074, c_COMBI(_u18074), _u18075) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18074), _u18074, hAPP(c_COMBC(_u18074, tc_List_Olist(_u18074), tc_List_Olist(_u18074)), c_List_Olinorder__class_Oinsort__key(_u18074, _u18074, c_COMBI(_u18074))), c_List_Olist_ONil(_u18074)), _u18075)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), skolem472(_u18079, _u18078, _u18077)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18077), tc_List_Olist(_u18077)), _u18078), _u18079)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( c_List_Oconcat(_u18077, _u18078) != c_List_Oconcat(_u18077, _u18079)) | ( _u18078 = _u18079) )).
% 12.29/12.50 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), skolem472(_u18079, _u18078, _u18077)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18077), tc_List_Olist(_u18077)), _u18078), _u18079)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( _u18078 != _u18079) | ( c_List_Oconcat(_u18077, _u18078) = c_List_Oconcat(_u18077, _u18079)) )).
% 12.29/12.50 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18077), tc_List_Olist(_u18077), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18077), tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), tc_List_Olist(_u18077)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18077))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18077)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)))), skolem472(_u18079, _u18078, _u18077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( c_List_Oconcat(_u18077, _u18078) != c_List_Oconcat(_u18077, _u18079)) | ( _u18078 = _u18079) )).
% 12.29/12.50 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18077), tc_List_Olist(_u18077), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18077), tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), tc_List_Olist(_u18077)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18077))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18077)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)))), skolem472(_u18079, _u18078, _u18077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( _u18078 != _u18079) | ( c_List_Oconcat(_u18077, _u18078) = c_List_Oconcat(_u18077, _u18079)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u18081, _u18082) != c_List_Oconcat(_u18081, _u18083)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18082) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18083)) | ( _u18082 = _u18083) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18081), tc_List_Olist(_u18081))), skolem473(_u18083, _u18082, _u18081)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18081), tc_List_Olist(_u18081))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18081), tc_List_Olist(_u18081)), _u18082), _u18083)))) )).
% 12.29/12.50 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u18081, _u18082) != c_List_Oconcat(_u18081, _u18083)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18082) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18083)) | ( _u18082 = _u18083) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18081), tc_List_Olist(_u18081), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18081), tc_fun(tc_List_Olist(_u18081), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18081), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18081), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18081), tc_HOL_Obool)), tc_List_Olist(_u18081)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18081))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18081)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18081))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18081)))), skolem473(_u18083, _u18082, _u18081))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u18084, hAPP(hAPP(c_List_Omap(_u18085, tc_List_Olist(_u18084)), hAPP(hAPP(c_COMBC(_u18085, tc_List_Olist(_u18084), tc_List_Olist(_u18084)), hAPP(hAPP(c_COMBB(_u18084, tc_fun(tc_List_Olist(_u18084), tc_List_Olist(_u18084)), _u18085), c_List_Olist_OCons(_u18084)), _u18086)), c_List_Olist_ONil(_u18084))), _u18087)) = hAPP(hAPP(c_List_Omap(_u18085, _u18084), _u18086), _u18087)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u18088, hAPP(c_Nat_OSuc, _u18089), _u18090) = c_List_Oconcat(tc_List_Olist(_u18088), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18088), tc_List_Olist(tc_List_Olist(_u18088))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18088), tc_List_Olist(_u18088), tc_List_Olist(tc_List_Olist(_u18088))), hAPP(hAPP(c_COMBB(tc_fun(_u18088, tc_List_Olist(_u18088)), tc_fun(tc_List_Olist(_u18088), tc_List_Olist(tc_List_Olist(_u18088))), tc_List_Olist(_u18088)), c_List_Omap(_u18088, tc_List_Olist(_u18088))), hAPP(c_COMBC(_u18088, tc_List_Olist(_u18088), tc_List_Olist(_u18088)), c_List_Olist_OCons(_u18088)))), _u18090)), c_Enum_On__lists(_u18088, _u18089, _u18090)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u18091, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18091)), hAPP(hAPP(c_List_Olist_OCons(_u18091), _u18092), _u18093)), _u18094)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18091)), hAPP(hAPP(c_List_Olist_OCons(_u18091), _u18092), c_List_Oconcat(_u18091, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18091), tc_List_Olist(_u18091)), c_List_Olist_Olist__case(tc_List_Olist(_u18091), _u18091, c_List_Olist_ONil(_u18091), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18091), tc_fun(tc_List_Olist(_u18091), tc_List_Olist(_u18091)), _u18091), c_COMBK(tc_List_Olist(_u18091), tc_List_Olist(_u18091))), hAPP(hAPP(c_COMBC(_u18091, tc_List_Olist(_u18091), tc_List_Olist(_u18091)), c_List_Olist_OCons(_u18091)), c_List_Olist_ONil(_u18091))))), _u18094)))), c_List_Otranspose(_u18091, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18091)), _u18093), c_List_Oconcat(tc_List_Olist(_u18091), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18091), tc_List_Olist(tc_List_Olist(_u18091))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18091)), _u18091, c_List_Olist_ONil(tc_List_Olist(_u18091)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18091), tc_List_Olist(tc_List_Olist(_u18091))), _u18091), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18091), tc_List_Olist(tc_List_Olist(_u18091)), tc_List_Olist(tc_List_Olist(_u18091))), c_List_Olist_OCons(tc_List_Olist(_u18091))), c_List_Olist_ONil(tc_List_Olist(_u18091)))))), _u18094)))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u18095, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18095), tc_List_Olist(_u18095)), c_List_Olist_Olist__case(tc_List_Olist(_u18095), _u18095, c_List_Olist_ONil(_u18095), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18095), tc_fun(tc_List_Olist(_u18095), tc_List_Olist(_u18095)), _u18095), c_COMBK(tc_List_Olist(_u18095), tc_List_Olist(_u18095))), hAPP(hAPP(c_COMBC(_u18095, tc_List_Olist(_u18095), tc_List_Olist(_u18095)), c_List_Olist_OCons(_u18095)), c_List_Olist_ONil(_u18095))))), _u18096)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18095), _u18095), c_List_Ohd(_u18095)), hAPP(c_List_Ofilter(tc_List_Olist(_u18095), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18095)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18095), tc_List_Olist(_u18095), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18095)))), _u18096))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u18097, _u18098), c_List_Oconcat(_u18097, _u18099)) = c_List_Oconcat(_u18097, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18097), tc_List_Olist(_u18097)), c_List_Ofilter(_u18097, _u18098)), _u18099))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18100) | ( hAPP(c_List_Ofilter(_u18101, _u18102), c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18103, _u18104)) = c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18103, hAPP(c_List_Ofilter(_u18101, _u18102), _u18104))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u18105, _u18106), hAPP(hAPP(c_List_Omap(_u18107, _u18105), _u18108), _u18109)) = hAPP(hAPP(c_List_Omap(_u18107, _u18105), _u18108), hAPP(c_List_Ofilter(_u18107, hAPP(c_Fun_Ocomp(_u18105, tc_HOL_Obool, _u18107, _u18106), _u18108)), _u18109))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18110)), hAPP(c_List_Ofilter(_u18110, _u18111), hAPP(hAPP(c_List_Omap(_u18112, _u18110), _u18113), _u18114))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18112)), hAPP(c_List_Ofilter(_u18112, hAPP(c_Fun_Ocomp(_u18110, tc_HOL_Obool, _u18112, _u18111), _u18113)), _u18114))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18115) | hBOOL(hAPP(_u18116, _u18117)) | ( hAPP(c_List_Ofilter(_u18118, _u18116), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18118, _u18115, _u18119), _u18117), _u18120)) = hAPP(c_List_Ofilter(_u18118, _u18116), _u18120)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u18121, _u18122), c_List_Olist_ONil(_u18121)) = c_List_Olist_ONil(_u18121)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u18123, c_List_Olist_ONil(tc_List_Olist(_u18123))) = c_List_Olist_ONil(tc_List_Olist(_u18123))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u18129, _u18131), _u18133) != c_List_Olist_ONil(_u18129)) | ~hBOOL(hAPP(hAPP(c_member(_u18129), _u18124), hAPP(c_List_Oset(_u18129), _u18133))) | ~hBOOL(hAPP(_u18131, _u18124)) )).
% 12.29/12.50 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u18130, _u18132), _u18134) = c_List_Olist_ONil(_u18130)) | hBOOL(hAPP(hAPP(c_member(_u18130), skolem474(_u18134, _u18132, _u18130)), hAPP(c_List_Oset(_u18130), _u18134))) )).
% 12.29/12.50 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u18130, _u18132), _u18134) = c_List_Olist_ONil(_u18130)) | hBOOL(hAPP(_u18132, skolem474(_u18134, _u18132, _u18130))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18135)), hAPP(c_List_Ofilter(_u18135, _u18136), _u18137))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18135)), _u18137))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18138)), hAPP(c_List_Ofilter(_u18138, _u18139), _u18140))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18138)), hAPP(c_List_Ofilter(_u18138, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18138), c_fNot), _u18139)), _u18140))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18138)), _u18140)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18141, tc_HOL_Obool)), hAPP(c_List_Oset(_u18141), hAPP(c_List_Ofilter(_u18141, _u18142), _u18143))), hAPP(c_List_Oset(_u18141), _u18143))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u18149, _u18151), _u18153) != _u18153) | ~hBOOL(hAPP(hAPP(c_member(_u18149), _u18144), hAPP(c_List_Oset(_u18149), _u18153))) | hBOOL(hAPP(_u18151, _u18144)) )).
% 12.29/12.50 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u18150, _u18152), _u18154) = _u18154) | hBOOL(hAPP(hAPP(c_member(_u18150), skolem475(_u18154, _u18152, _u18150)), hAPP(c_List_Oset(_u18150), _u18154))) )).
% 12.29/12.50 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u18150, _u18152), _u18154) = _u18154) | ~hBOOL(hAPP(_u18152, skolem475(_u18154, _u18152, _u18150))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u18155, _u18156), hAPP(c_List_Ofilter(_u18155, _u18157), _u18158)) = hAPP(c_List_Ofilter(_u18155, hAPP(hAPP(c_COMBS(_u18155, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18155), c_fconj), _u18157)), _u18156)), _u18158)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u18159, _u18160)) | ( c_List_Oremove1(_u18161, _u18160, hAPP(c_List_Ofilter(_u18161, _u18159), _u18162)) = hAPP(c_List_Ofilter(_u18161, _u18159), _u18162)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u18163, _u18164), c_List_Oremove1(_u18163, _u18165, _u18166)) = c_List_Oremove1(_u18163, _u18165, hAPP(c_List_Ofilter(_u18163, _u18164), _u18166))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18171, _u18173)) | ( hAPP(c_List_Ofilter(_u18175, _u18171), hAPP(hAPP(c_List_Olist_OCons(_u18175), _u18173), _u18177)) = hAPP(hAPP(c_List_Olist_OCons(_u18175), _u18173), hAPP(c_List_Ofilter(_u18175, _u18171), _u18177))) )).
% 12.29/12.50 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18172, _u18174)) | ( hAPP(c_List_Ofilter(_u18176, _u18172), hAPP(hAPP(c_List_Olist_OCons(_u18176), _u18174), _u18178)) = hAPP(c_List_Ofilter(_u18176, _u18172), _u18178)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u18179, _u18180), hAPP(hAPP(c_List_Oappend(_u18179), _u18181), _u18182)) = hAPP(hAPP(c_List_Oappend(_u18179), hAPP(c_List_Ofilter(_u18179, _u18180), _u18181)), hAPP(c_List_Ofilter(_u18179, _u18180), _u18182))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18183), _u18184)) | hBOOL(hAPP(c_List_Odistinct(_u18183), hAPP(c_List_Ofilter(_u18183, _u18185), _u18184))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u18186), tc_List_Olist(_u18186)), c_List_Opartition(_u18186, _u18187, _u18188)) = hAPP(c_List_Ofilter(_u18186, _u18187), _u18188)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u18189, _u18190, _u18191) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18189), tc_List_Olist(_u18189)), hAPP(c_List_Ofilter(_u18189, _u18190), _u18191)), hAPP(c_List_Ofilter(_u18189, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18189, c_fNot), _u18190)), _u18191))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u18192), tc_List_Olist(_u18192)), c_List_Opartition(_u18192, _u18193, _u18194)) = hAPP(c_List_Ofilter(_u18192, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18192, c_fNot), _u18193)), _u18194)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u18195, hAPP(c_List_Ofilter(_u18195, _u18196), _u18197)) = hAPP(c_List_Ofilter(_u18195, _u18196), c_List_Oremdups(_u18195, _u18197))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u18198, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18198)), c_List_Olist_ONil(_u18198)), _u18199)) = c_List_Otranspose(_u18198, _u18199)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18200), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18201))), c_List_Otranspose(_u18201, _u18202)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18201)), c_List_Otranspose(_u18201, _u18202)), _u18200) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18201), _u18201), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18201), tc_Nat_Onat, _u18201), c_List_Onth(_u18201)), _u18200)), hAPP(c_List_Ofilter(tc_List_Olist(_u18201), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18201)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18200)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18201)))), _u18202))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u18203, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18204), tc_List_Olist(_u18203)), hAPP(c_List_Omap(_u18204, _u18203), _u18205)), _u18206)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18204), tc_List_Olist(_u18203)), hAPP(c_List_Omap(_u18204, _u18203), _u18205)), c_List_Otranspose(_u18204, _u18206))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u18207), hAPP(c_List_Ofilter(_u18207, _u18208), _u18209)) = hAPP(c_Set_OCollect(_u18207), hAPP(hAPP(c_COMBS(_u18207, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18207), c_fconj), hAPP(hAPP(c_COMBC(_u18207, tc_fun(_u18207, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18207)), hAPP(c_List_Oset(_u18207), _u18209)))), _u18208))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18210), _u18211), hAPP(c_List_Oset(_u18210), _u18212))) | hBOOL(hAPP(_u18213, _u18211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18210)), hAPP(c_List_Ofilter(_u18210, _u18213), _u18212))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18210)), _u18212))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18214, tc_HOL_Obool)), hAPP(c_List_Oset(_u18214), _u18215)), hAPP(hAPP(c_Set_Oinsert(_u18214), _u18216), c_Orderings_Obot__class_Obot(tc_fun(_u18214, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18214), hAPP(c_List_Ofilter(_u18214, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18214), c_fNot), hAPP(hAPP(c_COMBC(_u18214, _u18214, tc_HOL_Obool), c_fequal), _u18216))), _u18215))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18217), _u18218)) | ( hAPP(c_List_Ofilter(_u18217, hAPP(hAPP(c_COMBC(_u18217, tc_fun(_u18217, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18217)), hAPP(c_List_Oset(_u18217), c_List_Osublist(_u18217, _u18218, _u18219)))), _u18218) = c_List_Osublist(_u18217, _u18218, _u18219)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u18224, _u18226) != c_List_Olist_ONil(tc_List_Olist(_u18224))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18224)), _u18220), hAPP(c_List_Oset(tc_List_Olist(_u18224)), _u18226))) | ( _u18220 = c_List_Olist_ONil(_u18224)) )).
% 12.29/12.50 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u18225, _u18227) = c_List_Olist_ONil(tc_List_Olist(_u18225))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18225)), skolem476(_u18227, _u18225)), hAPP(c_List_Oset(tc_List_Olist(_u18225)), _u18227))) )).
% 12.29/12.50 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u18225, _u18227) = c_List_Olist_ONil(tc_List_Olist(_u18225))) | ( skolem476(_u18227, _u18225) != c_List_Olist_ONil(_u18225)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18228)), hAPP(c_List_Ofilter(_u18228, _u18229), _u18230)) = 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(_u18228)), _u18230)))), hAPP(hAPP(c_COMBB(_u18228, tc_HOL_Obool, tc_Nat_Onat), _u18229), hAPP(c_List_Onth(_u18228), _u18230)))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u18231), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18231), tc_List_Olist(tc_List_Olist(_u18231))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18231)), _u18231, c_List_Olist_ONil(tc_List_Olist(_u18231)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18231), tc_List_Olist(tc_List_Olist(_u18231))), _u18231), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18231), tc_List_Olist(tc_List_Olist(_u18231)), tc_List_Olist(tc_List_Olist(_u18231))), c_List_Olist_OCons(tc_List_Olist(_u18231))), c_List_Olist_ONil(tc_List_Olist(_u18231)))))), _u18232)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18231), tc_List_Olist(_u18231)), c_List_Otl(_u18231)), hAPP(c_List_Ofilter(tc_List_Olist(_u18231), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18231)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18231), tc_List_Olist(_u18231), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18231)))), _u18232))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18233)), c_List_Otranspose__rel(_u18233)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), hAPP(hAPP(c_List_Olist_OCons(_u18233), _u18234), _u18235)), _u18236))) | ( c_List_Otranspose(_u18233, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), hAPP(hAPP(c_List_Olist_OCons(_u18233), _u18234), _u18235)), _u18236)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), hAPP(hAPP(c_List_Olist_OCons(_u18233), _u18234), c_List_Oconcat(_u18233, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18233), tc_List_Olist(_u18233)), c_List_Olist_Olist__case(tc_List_Olist(_u18233), _u18233, c_List_Olist_ONil(_u18233), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18233), tc_fun(tc_List_Olist(_u18233), tc_List_Olist(_u18233)), _u18233), c_COMBK(tc_List_Olist(_u18233), tc_List_Olist(_u18233))), hAPP(hAPP(c_COMBC(_u18233, tc_List_Olist(_u18233), tc_List_Olist(_u18233)), c_List_Olist_OCons(_u18233)), c_List_Olist_ONil(_u18233))))), _u18236)))), c_List_Otranspose(_u18233, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), _u18235), c_List_Oconcat(tc_List_Olist(_u18233), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18233), tc_List_Olist(tc_List_Olist(_u18233))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18233)), _u18233, c_List_Olist_ONil(tc_List_Olist(_u18233)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18233), tc_List_Olist(tc_List_Olist(_u18233))), _u18233), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18233), tc_List_Olist(tc_List_Olist(_u18233)), tc_List_Olist(tc_List_Olist(_u18233))), c_List_Olist_OCons(tc_List_Olist(_u18233))), c_List_Olist_ONil(tc_List_Olist(_u18233)))))), _u18236)))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18237)), c_List_Otranspose__rel(_u18237)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18237)), c_List_Olist_ONil(_u18237)), _u18238))) | ( c_List_Otranspose(_u18237, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18237)), c_List_Olist_ONil(_u18237)), _u18238)) = c_List_Otranspose(_u18237, _u18238)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18239, tc_Nat_Onat), _u18239), c_Product__Type_Ofst(_u18239, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18239, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18239, tc_Nat_Onat)), _u18240), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18239, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18239, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18239, tc_Nat_Onat), _u18241), _u18242))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18239, tc_Nat_Onat), _u18239), c_Product__Type_Ofst(_u18239, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18239, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18239, tc_Nat_Onat)), _u18240), c_Product__Type_Osnd(_u18239, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18239, tc_Nat_Onat), _u18241), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18242))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18243, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18243), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18243, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18243, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18243)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18244)) = c_Random_Oselect__weight(_u18243, _u18244)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u18245, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18245), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18245, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18245, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18245)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18246)) = c_Random_Opick(_u18245, _u18246)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18247)), c_List_Otranspose__rel(_u18247)), c_List_Olist_ONil(tc_List_Olist(_u18247)))) | ( c_List_Otranspose(_u18247, c_List_Olist_ONil(tc_List_Olist(_u18247))) = c_List_Olist_ONil(tc_List_Olist(_u18247))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u18248), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18248)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18248))), c_List_Otranspose(_u18248, _u18249), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18248))), hAPP(c_List_Ofilter(tc_List_Olist(_u18248), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18248)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18248), tc_List_Olist(_u18248), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18248)))), _u18249))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18250)), _u18251))), c_List_Ofoldr(tc_List_Olist(_u18252), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18252)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18252))), _u18253, 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(_u18250)), _u18251)), c_List_Ofoldr(tc_List_Olist(_u18252), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18252)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18252), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18252)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18252)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18252), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18252)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18252), tc_List_Olist(_u18252), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18252)))), _u18253), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u18254, _u18255, _u18256, c_List_Olist_ONil(_u18254), _u18257) = _u18257) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u18258, _u18259, _u18260, hAPP(hAPP(c_List_Olist_OCons(_u18258), _u18261), _u18262), _u18263) = hAPP(hAPP(_u18260, _u18261), c_List_Ofoldr(_u18258, _u18259, _u18260, _u18262, _u18263))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u18264, _u18265, _u18266, hAPP(hAPP(c_List_Oappend(_u18264), _u18267), _u18268), _u18269) = c_List_Ofoldr(_u18264, _u18265, _u18266, _u18267, c_List_Ofoldr(_u18264, _u18265, _u18266, _u18268, _u18269))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u18270) | ( c_List_Ofoldr(_u18270, _u18270, c_Groups_Oplus__class_Oplus(_u18270), _u18271, _u18272) = hAPP(c_List_Ofoldl(_u18270, _u18270, c_Groups_Oplus__class_Oplus(_u18270), _u18272), _u18271)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u18273, _u18274, _u18275, hAPP(hAPP(c_List_Omap(_u18276, _u18273), _u18277), _u18278), _u18279) = c_List_Ofoldr(_u18276, _u18274, hAPP(c_Fun_Ocomp(_u18273, tc_fun(_u18274, _u18274), _u18276, _u18275), _u18277), _u18278, _u18279)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u18280) | ( hAPP(c_List_Ofoldl(_u18280, _u18280, c_Groups_Oplus__class_Oplus(_u18280), c_Groups_Ozero__class_Ozero(_u18280)), _u18281) = c_List_Ofoldr(_u18280, _u18280, c_Groups_Oplus__class_Oplus(_u18280), _u18281, c_Groups_Ozero__class_Ozero(_u18280))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u18282) | ( hAPP(c_List_Ofoldl(_u18282, _u18282, c_Groups_Oplus__class_Oplus(_u18282), _u18283), _u18284) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18282), _u18283), c_List_Ofoldr(_u18282, _u18282, c_Groups_Oplus__class_Oplus(_u18282), _u18284, c_Groups_Ozero__class_Ozero(_u18282)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18285))), c_List_Otranspose(_u18285, _u18286)) = c_List_Ofoldr(tc_List_Olist(_u18285), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18285)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18285))), _u18286, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u18287, _u18288, _u18289) = hAPP(hAPP(c_List_Omap(tc_prod(_u18287, tc_Nat_Onat), _u18287), c_Product__Type_Ofst(_u18287, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18287, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18287, 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(_u18287, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18287, tc_Nat_Onat))), _u18289)), hAPP(hAPP(c_List_Ozip(_u18287, tc_Nat_Onat), _u18288), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288)))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18290, tc_Nat_Onat), _u18290), c_Product__Type_Ofst(_u18290, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18290, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18290, 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(_u18290, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18290, tc_Nat_Onat))), _u18291)), hAPP(hAPP(c_List_Ozip(_u18290, tc_Nat_Onat), _u18292), c_List_Oupt(_u18293, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18293), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18290)), _u18292)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18290, tc_Nat_Onat), _u18290), c_Product__Type_Ofst(_u18290, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18290, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18290, 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(_u18290, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18290, 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(_u18290, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18290, tc_Nat_Onat))), _u18293))), _u18291)), hAPP(hAPP(c_List_Ozip(_u18290, tc_Nat_Onat), _u18292), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18290)), _u18292)))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18294), _u18295) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18294, _u18295))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18296, _u18297)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18296), _u18297)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18298, _u18299))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18300), _u18301)) | ( c_List_Oupt(_u18300, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18301), _u18302)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18300, _u18301)), c_List_Oupt(_u18301, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18301), _u18302)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18305), _u18307)) | ( c_List_Oupt(_u18305, hAPP(c_Nat_OSuc, _u18307)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18305, _u18307)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18307), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.29/12.50 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18306), _u18308)) | ( c_List_Oupt(_u18306, hAPP(c_Nat_OSuc, _u18308)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18309), _u18310)) | ( c_List_Oupt(_u18309, hAPP(c_Nat_OSuc, _u18310)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18309, _u18310)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18310), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18311), c_List_Oupt(_u18312, _u18313)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18312), _u18311), _u18313)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18314), _u18315)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18314, _u18315)) = _u18314) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18318), _u18320)) | ( c_List_Oupt(_u18318, _u18320) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18318), c_List_Oupt(hAPP(c_Nat_OSuc, _u18318), _u18320))) )).
% 12.29/12.50 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18319), _u18321)) | ( c_List_Oupt(_u18319, _u18321) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18322), _u18323)) | ( c_List_Oupt(_u18322, _u18323) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18322), c_List_Oupt(hAPP(c_Nat_OSuc, _u18322), _u18323))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 12.29/12.50 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), _u18324), _u18325)), _u18326)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18325), c_List_Oupt(_u18324, _u18326)) = c_List_Oupt(_u18324, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18324), _u18325))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 12.29/12.50 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, _u18327), _u18328)) = c_List_Oupt(_u18327, _u18328)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u18331, _u18333) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18333 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18333), _u18331)) )).
% 12.29/12.50 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u18332, _u18334) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18334 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u18332, _u18334) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18334), _u18332)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18335), _u18336)) | ( c_List_Oupt(_u18336, _u18335) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u18337, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18338, _u18339)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18339), _u18338)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 12.29/12.50 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), _u18342)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18344))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18344)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18344)))) )).
% 12.29/12.50 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), _u18343)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18345))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18343), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18345)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u18350, _u18352) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18354), _u18356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18350), _u18352)) )).
% 12.29/12.50 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u18350, _u18352) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18354), _u18356)) | ( _u18350 = _u18354) )).
% 12.29/12.50 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u18350, _u18352) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18354), _u18356)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18350), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18352) = _u18356) )).
% 12.29/12.50 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18351), _u18353)) | ( _u18351 != _u18355) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18351), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18353) != _u18357) | ( c_List_Oupt(_u18351, _u18353) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18355), _u18357)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18358), _u18359)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18358, _u18359)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18359), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18360, _u18361)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18360), hAPP(c_Nat_OSuc, _u18361))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18362, _u18363) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18362, hAPP(c_Nat_OSuc, _u18363)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18364) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18364))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 12.29/12.50 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), _u18365), _u18366)), _u18367)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18365, _u18367)), _u18366) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18365), _u18366)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18368, _u18369) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18368), hAPP(c_Nat_OSuc, _u18369)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18370, _u18371) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18370), _u18371))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18372) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18372)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18373), hAPP(c_List_Onth(_u18373), _u18374)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) = _u18374) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18375) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18375), _u18376), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18377, _u18378))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18375), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18375), _u18376), c_List_Oupt(_u18377, _u18378)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18379) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18379), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18379), _u18380), c_List_Oupt(_u18381, _u18382))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18379), _u18380), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18381, _u18382)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18384), _u18385))) | ( hAPP(hAPP(c_List_Onth(_u18386), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18386), _u18387), c_List_Oupt(_u18385, _u18384))), _u18383) = hAPP(_u18387, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18385), _u18383))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transpose__rectangle-1, axiom, ( ( _u18389 = c_List_Olist_ONil(tc_List_Olist(_u18390))) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18391, _u18390, _u18389)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389))) )).
% 12.29/12.50 cnf(fact_transpose__rectangle-2, axiom, ( ( _u18389 = c_List_Olist_ONil(tc_List_Olist(_u18390))) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18390)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389), skolem477(_u18391, _u18390, _u18389))) != _u18391) )).
% 12.29/12.50 cnf(fact_transpose__rectangle-3, axiom, ( ( _u18391 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18391, _u18390, _u18389)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389))) )).
% 12.29/12.50 cnf(fact_transpose__rectangle-4, axiom, ( ( _u18391 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18390)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389), skolem477(_u18391, _u18390, _u18389))) != _u18391) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18392) | ~hBOOL(hAPP(hAPP(c_member(_u18393), _u18394), hAPP(c_List_Oset(_u18393), _u18395))) | ~c_List_Olinorder__class_Osorted(_u18392, hAPP(hAPP(c_List_Omap(_u18393, _u18392), _u18396), _u18395)) | ( hAPP(c_List_Ohd(_u18393), hAPP(c_List_Ofilter(_u18393, hAPP(hAPP(c_COMBB(_u18392, tc_HOL_Obool, _u18393), hAPP(c_fequal, hAPP(_u18396, _u18394))), _u18396)), _u18395)) != _u18394) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18393, _u18392, _u18396), _u18394), c_List_Oremove1(_u18393, _u18394, _u18395)) = _u18395) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u18397) | c_List_Olinorder__class_Osorted(_u18397, c_List_Olist_ONil(_u18397)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u18398) | c_List_Olinorder__class_Osorted(_u18398, hAPP(hAPP(c_List_Olist_OCons(_u18398), _u18399), c_List_Olist_ONil(_u18398))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18400, _u18401)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18402) | c_List_Olinorder__class_Osorted(_u18402, c_List_Olinorder__class_Osort__key(_u18402, _u18402, c_COMBI(_u18402), _u18403)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18404) | ~c_List_Olinorder__class_Osorted(_u18404, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18404, _u18404, c_COMBI(_u18404)), _u18405), _u18406)) | c_List_Olinorder__class_Osorted(_u18404, _u18406) )).
% 12.29/12.50 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18404) | ~c_List_Olinorder__class_Osorted(_u18404, _u18406) | c_List_Olinorder__class_Osorted(_u18404, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18404, _u18404, c_COMBI(_u18404)), _u18405), _u18406)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u18407) | ~c_List_Olinorder__class_Osorted(_u18407, _u18408) | c_List_Olinorder__class_Osorted(_u18407, hAPP(c_List_Otl(_u18407), _u18408)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18409) | c_List_Olinorder__class_Osorted(_u18409, c_List_Olist_ONil(_u18409)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u18410) | ( _u18411 = c_List_Olist_ONil(_u18410)) | ~c_List_Olinorder__class_Osorted(_u18410, _u18411) | c_List_Olinorder__class_Osorted(_u18410, c_List_Obutlast(_u18410, _u18411)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u18412) | ~c_List_Olinorder__class_Osorted(_u18412, _u18413) | c_List_Olinorder__class_Osorted(_u18412, hAPP(hAPP(c_List_Otake(_u18412), _u18414), _u18413)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18415, _u18416)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18417) | ~c_List_Olinorder__class_Osorted(_u18417, _u18418) | c_List_Olinorder__class_Osorted(_u18417, c_List_Oremove1(_u18417, _u18419, _u18418)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u18420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18420), _u18421), _u18422)) | ~c_List_Olinorder__class_Osorted(_u18420, hAPP(hAPP(c_List_Olist_OCons(_u18420), _u18422), _u18423)) | c_List_Olinorder__class_Osorted(_u18420, hAPP(hAPP(c_List_Olist_OCons(_u18420), _u18421), hAPP(hAPP(c_List_Olist_OCons(_u18420), _u18422), _u18423))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u18424) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18425), hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18424), _u18425), _u18426)) )).
% 12.29/12.50 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u18424) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18425), hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427))) | c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427)) )).
% 12.29/12.50 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u18424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18424), _u18425), _u18426)) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427)) | c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18425), hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, _u18429) | c_List_Olinorder__class_Osorted(_u18428, hAPP(hAPP(c_List_Odrop(_u18428), _u18430), _u18429)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18431) | ~c_List_Olinorder__class_Osorted(_u18431, _u18432) | c_List_Olinorder__class_Osorted(_u18431, c_List_Olinorder__class_Oinsort__insert__key(_u18431, _u18431, c_COMBI(_u18431), _u18433, _u18432)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18434) | ~c_List_Olinorder__class_Osorted(_u18434, _u18435) | c_List_Olinorder__class_Osorted(_u18434, c_List_Oremdups(_u18434, _u18435)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18436) | ~c_List_Olinorder__class_Osorted(_u18436, _u18437) | ~hBOOL(hAPP(c_List_Odistinct(_u18436), _u18437)) | ~c_List_Olinorder__class_Osorted(_u18436, _u18438) | ~hBOOL(hAPP(c_List_Odistinct(_u18436), _u18438)) | ( hAPP(c_List_Oset(_u18436), _u18437) != hAPP(c_List_Oset(_u18436), _u18438)) | ( _u18437 = _u18438) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18439) | c_List_Olinorder__class_Osorted(_u18439, hAPP(hAPP(c_List_Omap(_u18440, _u18439), _u18441), c_List_Olinorder__class_Osort__key(_u18440, _u18439, _u18441, _u18442))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u18443) | ~c_List_Olinorder__class_Osorted(_u18443, hAPP(hAPP(c_List_Omap(_u18444, _u18443), _u18445), _u18446)) | c_List_Olinorder__class_Osorted(_u18443, hAPP(hAPP(c_List_Omap(_u18444, _u18443), _u18445), c_List_Olinorder__class_Oinsort__insert__key(_u18444, _u18443, _u18445, _u18447, _u18446))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18448) | ~c_List_Olinorder__class_Osorted(_u18448, hAPP(hAPP(c_List_Omap(_u18449, _u18448), _u18450), _u18451)) | c_List_Olinorder__class_Osorted(_u18448, hAPP(hAPP(c_List_Omap(_u18449, _u18448), _u18450), c_List_Oremove1(_u18449, _u18452, _u18451))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18453) | ~c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18454, _u18453, _u18455), _u18456), _u18457))) | c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), _u18457)) )).
% 12.29/12.50 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u18453) | ~c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), _u18457)) | c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18454, _u18453, _u18455), _u18456), _u18457))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u18458) | ~c_List_Olinorder__class_Osorted(_u18458, hAPP(hAPP(c_List_Omap(_u18459, _u18458), _u18460), _u18461)) | c_List_Olinorder__class_Osorted(_u18458, hAPP(hAPP(c_List_Omap(_u18459, _u18458), _u18460), hAPP(c_List_Ofilter(_u18459, _u18462), _u18461))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u18463) | c_List_Olinorder__class_Osorted(_u18463, hAPP(hAPP(c_List_Omap(_u18464, _u18463), _u18465), hAPP(c_List_Ofilter(_u18464, hAPP(hAPP(c_COMBC(_u18464, _u18463, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18463, tc_fun(_u18463, tc_HOL_Obool), _u18464), c_fequal), _u18465)), hAPP(_u18466, _u18467))), _u18467))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u18468) | c_List_Olinorder__class_Osorted(_u18468, hAPP(c_List_Ofilter(_u18468, hAPP(hAPP(c_COMBC(_u18468, _u18468, tc_HOL_Obool), c_fequal), hAPP(_u18469, _u18470))), _u18470)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18473) | ~c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | c_List_Olinorder__class_Osorted(_u18473, _u18475) )).
% 12.29/12.50 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18473) | ~c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | ~hBOOL(hAPP(hAPP(c_member(_u18473), _u18471), hAPP(c_List_Oset(_u18473), _u18475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18473), _u18474), _u18471)) )).
% 12.29/12.50 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u18473) | c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | ~c_List_Olinorder__class_Osorted(_u18473, _u18475) | hBOOL(hAPP(hAPP(c_member(_u18473), skolem478(_u18475, _u18474, _u18473)), hAPP(c_List_Oset(_u18473), _u18475))) )).
% 12.29/12.50 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u18473) | c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | ~c_List_Olinorder__class_Osorted(_u18473, _u18475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18473), _u18474), skolem478(_u18475, _u18474, _u18473))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u18480) | ~c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | c_List_Olinorder__class_Osorted(_u18480, _u18481) )).
% 12.29/12.50 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u18480) | ~c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | c_List_Olinorder__class_Osorted(_u18480, _u18482) )).
% 12.29/12.50 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u18480) | ~c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~hBOOL(hAPP(hAPP(c_member(_u18480), _u18477), hAPP(c_List_Oset(_u18480), _u18481))) | ~hBOOL(hAPP(hAPP(c_member(_u18480), _u18476), hAPP(c_List_Oset(_u18480), _u18482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18480), _u18477), _u18476)) )).
% 12.29/12.50 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u18480) | c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~c_List_Olinorder__class_Osorted(_u18480, _u18481) | ~c_List_Olinorder__class_Osorted(_u18480, _u18482) | hBOOL(hAPP(hAPP(c_member(_u18480), skolem479(_u18482, _u18481, _u18480)), hAPP(c_List_Oset(_u18480), _u18481))) )).
% 12.29/12.50 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u18480) | c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~c_List_Olinorder__class_Osorted(_u18480, _u18481) | ~c_List_Olinorder__class_Osorted(_u18480, _u18482) | hBOOL(hAPP(hAPP(c_member(_u18480), skolem480(_u18482, _u18481, _u18480)), hAPP(c_List_Oset(_u18480), _u18482))) )).
% 12.29/12.50 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u18480) | c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~c_List_Olinorder__class_Osorted(_u18480, _u18481) | ~c_List_Olinorder__class_Osorted(_u18480, _u18482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18480), skolem479(_u18482, _u18481, _u18480)), skolem480(_u18482, _u18481, _u18480))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18483) | ~c_List_Olinorder__class_Osorted(_u18483, hAPP(hAPP(c_List_Omap(_u18484, _u18483), _u18485), _u18486)) | ~hBOOL(hAPP(_u18487, _u18488)) | ( hAPP(c_List_Ofilter(_u18484, _u18487), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18484, _u18483, _u18485), _u18488), _u18486)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18484, _u18483, _u18485), _u18488), hAPP(c_List_Ofilter(_u18484, _u18487), _u18486))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18491) | ~c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | ~hBOOL(hAPP(hAPP(c_member(_u18491), _u18489), hAPP(c_List_Oset(_u18491), _u18493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18491), _u18492), _u18489)) )).
% 12.29/12.50 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18491) | ~c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | c_List_Olinorder__class_Osorted(_u18491, _u18493) )).
% 12.29/12.50 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u18491) | c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | ~c_List_Olinorder__class_Osorted(_u18491, _u18493) | hBOOL(hAPP(hAPP(c_member(_u18491), skolem481(_u18493, _u18492, _u18491)), hAPP(c_List_Oset(_u18491), _u18493))) )).
% 12.29/12.50 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u18491) | c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | ~c_List_Olinorder__class_Osorted(_u18491, _u18493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18491), _u18492), skolem481(_u18493, _u18492, _u18491))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u18494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18494), _u18495)) | ( hAPP(c_List_Oset(_u18494), c_List_Olinorder__class_Osorted__list__of__set(_u18494, _u18495)) = _u18495) )).
% 12.29/12.50 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u18494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18494), _u18495)) | c_List_Olinorder__class_Osorted(_u18494, c_List_Olinorder__class_Osorted__list__of__set(_u18494, _u18495)) )).
% 12.29/12.50 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u18494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18494), _u18495)) | hBOOL(hAPP(c_List_Odistinct(_u18494), c_List_Olinorder__class_Osorted__list__of__set(_u18494, _u18495))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18496) | ~hBOOL(hAPP(hAPP(c_member(_u18496), _u18497), hAPP(c_List_Oset(_u18496), _u18498))) | ~c_List_Olinorder__class_Osorted(_u18496, _u18498) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18496, _u18496, c_COMBI(_u18496)), _u18497), c_List_Oremove1(_u18496, _u18497, _u18498)) = _u18498) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18499) | ~c_List_Olinorder__class_Osorted(_u18499, _u18500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18501), _u18502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18502), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18499)), _u18500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18499), hAPP(hAPP(c_List_Onth(_u18499), _u18500), _u18501)), hAPP(hAPP(c_List_Onth(_u18499), _u18500), _u18502))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18507) | ~c_List_Olinorder__class_Osorted(_u18507, _u18508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18504), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18503), _u18504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18507), hAPP(hAPP(c_List_Onth(_u18507), _u18508), _u18503)), hAPP(hAPP(c_List_Onth(_u18507), _u18508), _u18504))) )).
% 12.29/12.50 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18507) | c_List_Olinorder__class_Osorted(_u18507, _u18508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem482(_u18508, _u18507)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508))) )).
% 12.29/12.50 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18507) | c_List_Olinorder__class_Osorted(_u18507, _u18508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem483(_u18508, _u18507)), skolem482(_u18508, _u18507))) )).
% 12.29/12.50 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18507) | c_List_Olinorder__class_Osorted(_u18507, _u18508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18507), hAPP(hAPP(c_List_Onth(_u18507), _u18508), skolem483(_u18508, _u18507))), hAPP(hAPP(c_List_Onth(_u18507), _u18508), skolem482(_u18508, _u18507)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18509) | ~c_Fun_Oinj__on(_u18510, _u18509, _u18511, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18510, tc_HOL_Obool)), hAPP(c_List_Oset(_u18510), _u18512)), hAPP(c_List_Oset(_u18510), _u18513))) | ~c_List_Olinorder__class_Osorted(_u18509, hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18512)) | ~hBOOL(hAPP(c_List_Odistinct(_u18509), hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18512))) | ~c_List_Olinorder__class_Osorted(_u18509, hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18513)) | ~hBOOL(hAPP(c_List_Odistinct(_u18509), hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18513))) | ( hAPP(c_List_Oset(_u18510), _u18512) != hAPP(c_List_Oset(_u18510), _u18513)) | ( _u18512 = _u18513) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18514), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18514))), _u18515))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18516), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18514))), _u18515))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18514), _u18514), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18514), tc_Nat_Onat, _u18514), c_List_Onth(_u18514)), _u18516)), hAPP(c_List_Ofilter(tc_List_Olist(_u18514), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18514)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18516)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18514)))), c_List_Otranspose(_u18514, _u18515))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18514)), _u18515), _u18516)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18517), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18517))), _u18518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18519), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18517))), c_List_Otranspose(_u18517, _u18518)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18520), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18517))), hAPP(c_List_Ofilter(tc_List_Olist(_u18517), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18517)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18519)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18517)))), _u18518)))) | ( hAPP(hAPP(c_List_Onth(_u18517), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18517)), c_List_Otranspose(_u18517, _u18518)), _u18519)), _u18520) = hAPP(hAPP(c_List_Onth(_u18517), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18517)), _u18518), _u18520)), _u18519)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u18521), tc_List_Olist(_u18521), c_List_Orev(_u18521), _u18522) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18525), _u18527) != c_List_Olist_ONil(_u18525)) | ( _u18527 = c_List_Olist_ONil(_u18525)) )).
% 12.29/12.50 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u18528 != c_List_Olist_ONil(_u18526)) | ( hAPP(c_List_Orev(_u18526), _u18528) = c_List_Olist_ONil(_u18526)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u18531) != hAPP(c_List_Orev(_u18531), _u18533)) | ( _u18533 = c_List_Olist_ONil(_u18531)) )).
% 12.29/12.50 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u18534 != c_List_Olist_ONil(_u18532)) | ( c_List_Olist_ONil(_u18532) = hAPP(c_List_Orev(_u18532), _u18534)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u18535), c_List_Olist_ONil(_u18535)) = c_List_Olist_ONil(_u18535)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18541), c_List_Olist_ONil(_u18539)) != hAPP(c_List_Orev(_u18539), _u18543)) | ( _u18543 = hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18541), c_List_Olist_ONil(_u18539))) )).
% 12.29/12.50 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u18544 != hAPP(hAPP(c_List_Olist_OCons(_u18540), _u18542), c_List_Olist_ONil(_u18540))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18540), _u18542), c_List_Olist_ONil(_u18540)) = hAPP(c_List_Orev(_u18540), _u18544)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18548), _u18550) != hAPP(hAPP(c_List_Olist_OCons(_u18548), _u18552), c_List_Olist_ONil(_u18548))) | ( _u18550 = hAPP(hAPP(c_List_Olist_OCons(_u18548), _u18552), c_List_Olist_ONil(_u18548))) )).
% 12.29/12.50 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u18551 != hAPP(hAPP(c_List_Olist_OCons(_u18549), _u18553), c_List_Olist_ONil(_u18549))) | ( hAPP(c_List_Orev(_u18549), _u18551) = hAPP(hAPP(c_List_Olist_OCons(_u18549), _u18553), c_List_Olist_ONil(_u18549))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u18554), hAPP(hAPP(c_List_Oappend(_u18554), _u18555), _u18556)) = hAPP(hAPP(c_List_Oappend(_u18554), hAPP(c_List_Orev(_u18554), _u18556)), hAPP(c_List_Orev(_u18554), _u18555))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18559), hAPP(c_List_Orev(_u18559), _u18561))) | hBOOL(hAPP(c_List_Odistinct(_u18559), _u18561)) )).
% 12.29/12.50 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18560), _u18562)) | hBOOL(hAPP(c_List_Odistinct(_u18560), hAPP(c_List_Orev(_u18560), _u18562))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u18563), c_List_Oconcat(_u18563, _u18564)) = c_List_Oconcat(_u18563, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18563), tc_List_Olist(_u18563)), c_List_Orev(_u18563)), hAPP(c_List_Orev(tc_List_Olist(_u18563)), _u18564)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u18565), hAPP(hAPP(c_List_Omap(_u18566, _u18565), _u18567), _u18568)) = hAPP(hAPP(c_List_Omap(_u18566, _u18565), _u18567), hAPP(c_List_Orev(_u18566), _u18568))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u18569), hAPP(c_List_Ofilter(_u18569, _u18570), _u18571)) = hAPP(c_List_Ofilter(_u18569, _u18570), hAPP(c_List_Orev(_u18569), _u18571))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18572)), _u18573) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18574)), _u18575)) | ( hAPP(hAPP(c_List_Ozip(_u18572, _u18574), hAPP(c_List_Orev(_u18572), _u18573)), hAPP(c_List_Orev(_u18574), _u18575)) = hAPP(c_List_Orev(tc_prod(_u18572, _u18574)), hAPP(hAPP(c_List_Ozip(_u18572, _u18574), _u18573), _u18575))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u18576), hAPP(c_List_Orev(_u18576), _u18577)) = hAPP(c_List_Oset(_u18576), _u18577)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18578) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18578), hAPP(c_List_Orev(_u18578), _u18579)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18578), _u18579)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u18585 = _u18587) | ( hAPP(c_List_Orev(_u18583), _u18585) != hAPP(c_List_Orev(_u18583), _u18587)) )).
% 12.29/12.50 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u18586 != _u18588) | ( hAPP(c_List_Orev(_u18584), _u18586) = hAPP(c_List_Orev(_u18584), _u18588)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u18592), _u18594) != _u18596) | ( _u18594 = hAPP(c_List_Orev(_u18592), _u18596)) )).
% 12.29/12.50 cnf(fact_rev__swap-2, axiom, ( ( _u18595 != hAPP(c_List_Orev(_u18593), _u18597)) | ( hAPP(c_List_Orev(_u18593), _u18595) = _u18597) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u18598), hAPP(c_List_Orev(_u18598), _u18599)) = _u18599) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18600)), hAPP(c_List_Orev(_u18600), _u18601)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18600)), _u18601)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18607, _u18609, _u18611, hAPP(c_List_Orev(_u18607), _u18613), _u18615) | c_List_Olist__all2(_u18607, _u18609, _u18611, _u18613, hAPP(c_List_Orev(_u18609), _u18615)) )).
% 12.29/12.50 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18608, _u18610, _u18612, _u18614, hAPP(c_List_Orev(_u18610), _u18616)) | c_List_Olist__all2(_u18608, _u18610, _u18612, hAPP(c_List_Orev(_u18608), _u18614), _u18616) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18622, _u18624, _u18626, hAPP(c_List_Orev(_u18622), _u18628), hAPP(c_List_Orev(_u18624), _u18630)) | c_List_Olist__all2(_u18622, _u18624, _u18626, _u18628, _u18630) )).
% 12.29/12.50 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18623, _u18625, _u18627, _u18629, _u18631) | c_List_Olist__all2(_u18623, _u18625, _u18627, hAPP(c_List_Orev(_u18623), _u18629), hAPP(c_List_Orev(_u18625), _u18631)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18632, _u18633, _u18634, _u18635), _u18636) = c_List_Ofoldr(_u18633, _u18632, hAPP(c_COMBC(_u18632, _u18633, _u18632), _u18634), hAPP(c_List_Orev(_u18633), _u18636), _u18635)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u18637, _u18638, _u18639, _u18640, _u18641) = hAPP(c_List_Ofoldl(_u18638, _u18637, hAPP(c_COMBC(_u18637, _u18638, _u18638), _u18639), _u18641), hAPP(c_List_Orev(_u18637), _u18640))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u18642), hAPP(hAPP(c_List_Olist_OCons(_u18642), _u18643), _u18644)) = hAPP(hAPP(c_List_Oappend(_u18642), hAPP(c_List_Orev(_u18642), _u18644)), hAPP(hAPP(c_List_Olist_OCons(_u18642), _u18643), c_List_Olist_ONil(_u18642)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u18649), _u18651) != hAPP(hAPP(c_List_Olist_OCons(_u18649), _u18653), _u18655)) | ( _u18651 = hAPP(hAPP(c_List_Oappend(_u18649), hAPP(c_List_Orev(_u18649), _u18655)), hAPP(hAPP(c_List_Olist_OCons(_u18649), _u18653), c_List_Olist_ONil(_u18649)))) )).
% 12.29/12.50 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u18652 != hAPP(hAPP(c_List_Oappend(_u18650), hAPP(c_List_Orev(_u18650), _u18656)), hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18654), c_List_Olist_ONil(_u18650)))) | ( hAPP(c_List_Orev(_u18650), _u18652) = hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18654), _u18656)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__rev-1, axiom, ( ( _u18657 = c_List_Olist_ONil(_u18658)) | ( c_List_Olast(_u18658, hAPP(c_List_Orev(_u18658), _u18657)) = hAPP(c_List_Ohd(_u18658), _u18657)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_hd__rev-1, axiom, ( ( _u18659 = c_List_Olist_ONil(_u18660)) | ( hAPP(c_List_Ohd(_u18660), hAPP(c_List_Orev(_u18660), _u18659)) = c_List_Olast(_u18660, _u18659)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18661), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18661))), c_List_Otranspose(_u18661, _u18662)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u18663), _u18664) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18663), _u18663, hAPP(c_COMBC(_u18663, tc_List_Olist(_u18663), tc_List_Olist(_u18663)), c_List_Olist_OCons(_u18663)), c_List_Olist_ONil(_u18663)), _u18664)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u18665), hAPP(hAPP(c_List_Odrop(_u18665), _u18666), _u18667)) = hAPP(hAPP(c_List_Otake(_u18665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18665)), _u18667)), _u18666)), hAPP(c_List_Orev(_u18665), _u18667))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u18668), hAPP(hAPP(c_List_Otake(_u18668), _u18669), _u18670)) = hAPP(hAPP(c_List_Odrop(_u18668), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18668)), _u18670)), _u18669)), hAPP(c_List_Orev(_u18668), _u18670))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u18671, _u18672), hAPP(c_List_Orev(_u18671), _u18673)) = hAPP(c_List_Orev(_u18671), hAPP(c_List_Orotate(_u18671, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18671)), _u18673)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18672, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18671)), _u18673)))), _u18673))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18674), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18675)), _u18676))) | ( hAPP(hAPP(c_List_Onth(_u18675), hAPP(c_List_Orev(_u18675), _u18676)), _u18674) = hAPP(hAPP(c_List_Onth(_u18675), _u18676), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18675)), _u18676)), hAPP(c_Nat_OSuc, _u18674)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18677), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18678)), _u18679))) | ( hAPP(c_List_Orev(_u18678), hAPP(hAPP(c_List_Olist__update(_u18678, _u18679), _u18677), _u18680)) = hAPP(hAPP(c_List_Olist__update(_u18678, hAPP(c_List_Orev(_u18678), _u18679)), 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(_u18678)), _u18679)), _u18677)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18680)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18681) | ~c_List_Olinorder__class_Osorted(_u18681, hAPP(c_List_Orev(_u18681), _u18682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18683), _u18684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18684), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18681)), _u18682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18681), hAPP(hAPP(c_List_Onth(_u18681), _u18682), _u18684)), hAPP(hAPP(c_List_Onth(_u18681), _u18682), _u18683))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u18685) | ~c_List_Olinorder__class_Osorted(_u18685, hAPP(c_List_Orev(_u18685), _u18686)) | ( _u18686 != c_List_Olist_ONil(_u18685)) | ( c_List_Ofoldr(_u18685, _u18685, c_Orderings_Oord__class_Omax(_u18685), _u18686, _u18687) = _u18687) )).
% 12.29/12.50 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u18685) | ~c_List_Olinorder__class_Osorted(_u18685, hAPP(c_List_Orev(_u18685), _u18686)) | ( _u18686 = c_List_Olist_ONil(_u18685)) | ( c_List_Ofoldr(_u18685, _u18685, c_Orderings_Oord__class_Omax(_u18685), _u18686, _u18687) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18685), hAPP(hAPP(c_List_Onth(_u18685), _u18686), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18687)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18688), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18688))), _u18689))) | ( _u18689 != c_List_Olist_ONil(tc_List_Olist(_u18688))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18688))), c_List_Otranspose(_u18688, _u18689)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50 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(_u18688), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18688))), _u18689))) | ( _u18689 = c_List_Olist_ONil(tc_List_Olist(_u18688))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18688))), c_List_Otranspose(_u18688, _u18689)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18688)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18688)), _u18689), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18690), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18690))), _u18691))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18692), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18690))), _u18691))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18690))), hAPP(c_List_Ofilter(tc_List_Olist(_u18690), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18690)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18692)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)))), c_List_Otranspose(_u18690, _u18691))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18690)), _u18691), _u18692))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18693), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18693))), _u18694))) | ( c_List_Otranspose(_u18693, c_List_Otranspose(_u18693, _u18694)) = c_List_OtakeWhile(tc_List_Olist(_u18693), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18693)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18693), tc_List_Olist(_u18693), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18693))), _u18694)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transfer__nat__int__list__functions_I2_J-1, axiom, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18695) | ~c_List_Olinorder__class_Osorted(_u18695, _u18696) | c_List_Olinorder__class_Osorted(_u18695, c_List_OtakeWhile(_u18695, _u18697, _u18696)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18698)), c_List_OtakeWhile(_u18698, _u18699, _u18700))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18698)), _u18700))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18701), _u18702), hAPP(c_List_Oset(_u18701), c_List_OtakeWhile(_u18701, _u18703, _u18704)))) | hBOOL(hAPP(hAPP(c_member(_u18701), _u18702), hAPP(c_List_Oset(_u18701), _u18704))) )).
% 12.29/12.50 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18701), _u18702), hAPP(c_List_Oset(_u18701), c_List_OtakeWhile(_u18701, _u18703, _u18704)))) | hBOOL(hAPP(_u18703, _u18702)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u18710, _u18712, _u18714) != _u18714) | ~hBOOL(hAPP(hAPP(c_member(_u18710), _u18705), hAPP(c_List_Oset(_u18710), _u18714))) | hBOOL(hAPP(_u18712, _u18705)) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u18711, _u18713, _u18715) = _u18715) | hBOOL(hAPP(hAPP(c_member(_u18711), skolem484(_u18715, _u18713, _u18711)), hAPP(c_List_Oset(_u18711), _u18715))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u18711, _u18713, _u18715) = _u18715) | ~hBOOL(hAPP(_u18713, skolem484(_u18715, _u18713, _u18711))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18716, _u18717), c_List_OtakeWhile(_u18716, _u18718, _u18719)), _u18720) = c_List_OtakeWhile(tc_prod(_u18716, _u18717), hAPP(c_Fun_Ocomp(_u18716, tc_HOL_Obool, tc_prod(_u18716, _u18717), _u18718), c_Product__Type_Ofst(_u18716, _u18717)), hAPP(hAPP(c_List_Ozip(_u18716, _u18717), _u18719), _u18720))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18721, _u18722), _u18723), c_List_OtakeWhile(_u18722, _u18724, _u18725)) = c_List_OtakeWhile(tc_prod(_u18721, _u18722), hAPP(c_Fun_Ocomp(_u18722, tc_HOL_Obool, tc_prod(_u18721, _u18722), _u18724), c_Product__Type_Osnd(_u18721, _u18722)), hAPP(hAPP(c_List_Ozip(_u18721, _u18722), _u18723), _u18725))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u18726, _u18727, hAPP(hAPP(c_List_Omap(_u18728, _u18726), _u18729), _u18730)) = hAPP(hAPP(c_List_Omap(_u18728, _u18726), _u18729), c_List_OtakeWhile(_u18728, hAPP(c_Fun_Ocomp(_u18726, tc_HOL_Obool, _u18728, _u18727), _u18729), _u18730))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18731), _u18732)) | hBOOL(hAPP(c_List_Odistinct(_u18731), c_List_OtakeWhile(_u18731, _u18733, _u18732))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u18734, _u18735)) | ( c_List_OtakeWhile(_u18736, _u18734, hAPP(hAPP(c_List_Oappend(_u18736), _u18737), hAPP(hAPP(c_List_Olist_OCons(_u18736), _u18735), _u18738))) = c_List_OtakeWhile(_u18736, _u18734, _u18737)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18743, _u18745)) | ( c_List_OtakeWhile(_u18747, _u18743, hAPP(hAPP(c_List_Olist_OCons(_u18747), _u18745), _u18749)) = hAPP(hAPP(c_List_Olist_OCons(_u18747), _u18745), c_List_OtakeWhile(_u18747, _u18743, _u18749))) )).
% 12.29/12.50 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18744, _u18746)) | ( c_List_OtakeWhile(_u18748, _u18744, hAPP(hAPP(c_List_Olist_OCons(_u18748), _u18746), _u18750)) = c_List_Olist_ONil(_u18748)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u18751, _u18752, _u18753) = hAPP(hAPP(c_List_Otake(_u18751), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), c_List_OtakeWhile(_u18751, _u18752, _u18753))), _u18753)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u18754, _u18755, c_List_Olist_ONil(_u18754)) = c_List_Olist_ONil(_u18754)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u18756) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18756)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18757), _u18758), hAPP(c_List_Oset(_u18757), _u18759))) | hBOOL(hAPP(_u18760, _u18758)) | ( c_List_OtakeWhile(_u18757, _u18760, hAPP(hAPP(c_List_Oappend(_u18757), _u18759), _u18761)) = c_List_OtakeWhile(_u18757, _u18760, _u18759)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18762), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18763)), c_List_OtakeWhile(_u18763, _u18764, _u18765)))) | ( hAPP(hAPP(c_List_Onth(_u18763), c_List_OtakeWhile(_u18763, _u18764, _u18765)), _u18762) = hAPP(hAPP(c_List_Onth(_u18763), _u18765), _u18762)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18766)), c_List_OtakeWhile(_u18766, _u18767, _u18768))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18766)), _u18768))) | ~hBOOL(hAPP(_u18767, hAPP(hAPP(c_List_Onth(_u18766), _u18768), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18766)), c_List_OtakeWhile(_u18766, _u18767, _u18768))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u18769 = c_List_Olist_ONil(_u18770)) | ~hBOOL(hAPP(c_List_Odistinct(_u18770), _u18769)) | ( c_List_OtakeWhile(_u18770, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18770), c_fNot), hAPP(hAPP(c_COMBC(_u18770, _u18770, tc_HOL_Obool), c_fequal), c_List_Olast(_u18770, _u18769))), _u18769) = c_List_Obutlast(_u18770, _u18769)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u18771) | ~c_List_Olinorder__class_Osorted(_u18771, hAPP(c_List_Orev(_u18771), hAPP(hAPP(c_List_Omap(_u18772, _u18771), _u18773), _u18774))) | ( hAPP(c_List_Ofilter(_u18772, hAPP(hAPP(c_COMBB(_u18771, tc_HOL_Obool, _u18772), hAPP(c_Orderings_Oord__class_Oless(_u18771), _u18775)), _u18773)), _u18774) = c_List_OtakeWhile(_u18772, hAPP(hAPP(c_COMBB(_u18771, tc_HOL_Obool, _u18772), hAPP(c_Orderings_Oord__class_Oless(_u18771), _u18775)), _u18773), _u18774)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u18776) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18776)) = _u18776) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18777), _u18778) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18777)), c_List_Oembed__list(_u18778)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18779) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18779)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18780), _u18781)) | ~hBOOL(hAPP(hAPP(c_member(_u18780), _u18782), hAPP(c_List_Oset(_u18780), _u18781))) | ( c_List_OtakeWhile(_u18780, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18780), c_fNot), hAPP(hAPP(c_COMBC(_u18780, _u18780, tc_HOL_Obool), c_fequal), _u18782)), hAPP(c_List_Orev(_u18780), _u18781)) = hAPP(c_List_Orev(_u18780), hAPP(c_List_Otl(_u18780), c_List_OdropWhile(_u18780, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18780), c_fNot), hAPP(hAPP(c_COMBC(_u18780, _u18780, tc_HOL_Obool), c_fequal), _u18782)), _u18781)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18783), _u18784)) | ~hBOOL(hAPP(hAPP(c_member(_u18783), _u18785), hAPP(c_List_Oset(_u18783), _u18784))) | ( c_List_OdropWhile(_u18783, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18783), c_fNot), hAPP(hAPP(c_COMBC(_u18783, _u18783, tc_HOL_Obool), c_fequal), _u18785)), hAPP(c_List_Orev(_u18783), _u18784)) = hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), hAPP(c_List_Orev(_u18783), c_List_OtakeWhile(_u18783, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18783), c_fNot), hAPP(hAPP(c_COMBC(_u18783, _u18783, tc_HOL_Obool), c_fequal), _u18785)), _u18784)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18786), c_List_OtakeWhile(_u18786, _u18787, _u18788)), c_List_OdropWhile(_u18786, _u18787, _u18788)) = _u18788) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18789) | ~c_List_Olinorder__class_Osorted(_u18789, _u18790) | c_List_Olinorder__class_Osorted(_u18789, c_List_OdropWhile(_u18789, _u18791, _u18790)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u18792, _u18793, _u18794) = c_List_Olist_ONil(_u18792)) | ~hBOOL(hAPP(_u18793, hAPP(c_List_Ohd(_u18792), c_List_OdropWhile(_u18792, _u18793, _u18794)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 12.29/12.50 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(_u18795)), c_List_OdropWhile(_u18795, _u18796, _u18797))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18795)), _u18797))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u18803, _u18805, _u18807) != c_List_Olist_ONil(_u18803)) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | hBOOL(hAPP(_u18805, _u18798)) )).
% 12.29/12.50 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u18804, _u18806, _u18808) = c_List_Olist_ONil(_u18804)) | hBOOL(hAPP(hAPP(c_member(_u18804), skolem485(_u18808, _u18806, _u18804)), hAPP(c_List_Oset(_u18804), _u18808))) )).
% 12.29/12.50 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u18804, _u18806, _u18808) = c_List_Olist_ONil(_u18804)) | ~hBOOL(hAPP(_u18806, skolem485(_u18808, _u18806, _u18804))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18809), _u18810)) | hBOOL(hAPP(c_List_Odistinct(_u18809), c_List_OdropWhile(_u18809, _u18811, _u18810))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18816, _u18818)) | ( c_List_OdropWhile(_u18820, _u18816, hAPP(hAPP(c_List_Olist_OCons(_u18820), _u18818), _u18822)) = c_List_OdropWhile(_u18820, _u18816, _u18822)) )).
% 12.29/12.50 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18817, _u18819)) | ( c_List_OdropWhile(_u18821, _u18817, hAPP(hAPP(c_List_Olist_OCons(_u18821), _u18819), _u18823)) = hAPP(hAPP(c_List_Olist_OCons(_u18821), _u18819), _u18823)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u18824, _u18825, c_List_Olist_ONil(_u18824)) = c_List_Olist_ONil(_u18824)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u18826, _u18827, hAPP(hAPP(c_List_Omap(_u18828, _u18826), _u18829), _u18830)) = hAPP(hAPP(c_List_Omap(_u18828, _u18826), _u18829), c_List_OdropWhile(_u18828, hAPP(c_Fun_Ocomp(_u18826, tc_HOL_Obool, _u18828, _u18827), _u18829), _u18830))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18831), _u18832), hAPP(c_List_Oset(_u18831), _u18833))) | hBOOL(hAPP(_u18834, _u18832)) | ( c_List_OdropWhile(_u18831, _u18834, hAPP(hAPP(c_List_Oappend(_u18831), _u18833), _u18835)) = hAPP(hAPP(c_List_Oappend(_u18831), c_List_OdropWhile(_u18831, _u18834, _u18833)), _u18835)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u18841, _u18843, _u18845) != hAPP(hAPP(c_List_Olist_OCons(_u18841), _u18847), _u18849)) | ( _u18845 = hAPP(hAPP(c_List_Oappend(_u18841), c_List_OtakeWhile(_u18841, _u18843, _u18845)), hAPP(hAPP(c_List_Olist_OCons(_u18841), _u18847), _u18849))) )).
% 12.29/12.50 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u18841, _u18843, _u18845) != hAPP(hAPP(c_List_Olist_OCons(_u18841), _u18847), _u18849)) | ~hBOOL(hAPP(_u18843, _u18847)) )).
% 12.29/12.50 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u18846 != hAPP(hAPP(c_List_Oappend(_u18842), c_List_OtakeWhile(_u18842, _u18844, _u18846)), hAPP(hAPP(c_List_Olist_OCons(_u18842), _u18848), _u18850))) | hBOOL(hAPP(_u18844, _u18848)) | ( c_List_OdropWhile(_u18842, _u18844, _u18846) = hAPP(hAPP(c_List_Olist_OCons(_u18842), _u18848), _u18850)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u18851, _u18852, _u18853) = hAPP(hAPP(c_List_Odrop(_u18851), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18851)), c_List_OtakeWhile(_u18851, _u18852, _u18853))), _u18853)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18854), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18855)), c_List_OdropWhile(_u18855, _u18856, _u18857)))) | ( hAPP(hAPP(c_List_Onth(_u18855), c_List_OdropWhile(_u18855, _u18856, _u18857)), _u18854) = hAPP(hAPP(c_List_Onth(_u18855), _u18857), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18854), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18855)), c_List_OtakeWhile(_u18855, _u18856, _u18857))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18859) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), hAPP(c_List_Ofilter(_u18860, _u18862), _u18861))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), _u18861))) | hBOOL(hAPP(hAPP(c_member(_u18860), skolem486(_u18863, _u18862, _u18861, _u18860, _u18859)), hAPP(c_List_Oset(_u18860), _u18861))) )).
% 12.29/12.50 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18859) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), hAPP(c_List_Ofilter(_u18860, _u18862), _u18861))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), _u18861))) | ~hBOOL(hAPP(_u18862, skolem486(_u18863, _u18862, _u18861, _u18860, _u18859))) )).
% 12.29/12.50 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18859) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), hAPP(c_List_Ofilter(_u18860, _u18862), _u18861))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), _u18861))) | ( hAPP(_u18863, skolem486(_u18863, _u18862, _u18861, _u18860, _u18859)) != c_Groups_Ozero__class_Ozero(_u18859)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u18866) | c_List_Olinorder__class_Osorted(_u18866, _u18867) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem487(_u18867, _u18866)), skolem488(_u18867, _u18866))) )).
% 12.29/12.50 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u18866) | c_List_Olinorder__class_Osorted(_u18866, _u18867) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u18867, _u18866)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18866)), _u18867))) )).
% 12.29/12.50 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u18866) | c_List_Olinorder__class_Osorted(_u18866, _u18867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18866), hAPP(hAPP(c_List_Onth(_u18866), _u18867), skolem487(_u18867, _u18866))), hAPP(hAPP(c_List_Onth(_u18866), _u18867), skolem488(_u18867, _u18866)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u18869, _u18870, _u18871) = hAPP(c_List_Ofilter(_u18869, _u18870), _u18871)) | hBOOL(hAPP(hAPP(c_member(_u18869), skolem489(_u18871, _u18870, _u18869)), hAPP(c_List_Oset(_u18869), c_List_OdropWhile(_u18869, _u18870, _u18871)))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u18869, _u18870, _u18871) = hAPP(c_List_Ofilter(_u18869, _u18870), _u18871)) | hBOOL(hAPP(_u18870, skolem489(_u18871, _u18870, _u18869))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), _u18873)) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), _u18873)) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), _u18873))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), _u18873))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), skolem490(_u18876, _u18875, _u18874, _u18873)))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) )).
% 12.29/12.50 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), skolem490(_u18876, _u18875, _u18874, _u18873)))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), _u18873))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), _u18881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), c_List_OtakeWhile(_u18880, _u18879, _u18881)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u18881, _u18880, _u18879, _u18878)), _u18878)) )).
% 12.29/12.50 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), _u18881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), c_List_OtakeWhile(_u18880, _u18879, _u18881)))) | ~hBOOL(hAPP(_u18879, hAPP(hAPP(c_List_Onth(_u18880), _u18881), skolem491(_u18881, _u18880, _u18879, _u18878)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 = c_List_Olist_ONil(_u18888)) | c_List_Olinorder__class_Osorted(_u18888, skolem492(_u18889, _u18888)) )).
% 12.29/12.50 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 = c_List_Olist_ONil(_u18888)) | ( _u18889 = hAPP(hAPP(c_List_Olist_OCons(_u18888), skolem493(_u18889, _u18888)), skolem492(_u18889, _u18888))) )).
% 12.29/12.50 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 = c_List_Olist_ONil(_u18888)) | ~hBOOL(hAPP(hAPP(c_member(_u18888), _u18882), hAPP(c_List_Oset(_u18888), skolem492(_u18889, _u18888)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18888), skolem493(_u18889, _u18888)), _u18882)) )).
% 12.29/12.50 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18888) | c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 != c_List_Olist_ONil(_u18888)) )).
% 12.29/12.50 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18888) | c_List_Olinorder__class_Osorted(_u18888, _u18889) | ~c_List_Olinorder__class_Osorted(_u18888, _u18887) | ( _u18889 != hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18886), _u18887)) | hBOOL(hAPP(hAPP(c_member(_u18888), skolem494(_u18889, _u18888, _u18887, _u18886)), hAPP(c_List_Oset(_u18888), _u18887))) )).
% 12.29/12.50 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18888) | c_List_Olinorder__class_Osorted(_u18888, _u18889) | ~c_List_Olinorder__class_Osorted(_u18888, _u18887) | ( _u18889 != hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18886), _u18887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18888), _u18886), skolem494(_u18889, _u18888, _u18887, _u18886))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u18890, _u18891, _u18892, hAPP(hAPP(c_Set_Oinsert(_u18890), _u18893), hAPP(c_List_Oset(_u18890), _u18894))) | ( hAPP(hAPP(c_List_Omap(_u18890, _u18891), _u18892), hAPP(c_List_OremoveAll(_u18890, _u18893), _u18894)) = hAPP(c_List_OremoveAll(_u18891, hAPP(_u18892, _u18893)), hAPP(hAPP(c_List_Omap(_u18890, _u18891), _u18892), _u18894))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18895), _u18896), hAPP(c_List_Oset(_u18895), _u18897))) | ( c_List_Oinsert(_u18895, _u18896, _u18897) = hAPP(hAPP(c_List_Olist_OCons(_u18895), _u18896), _u18897)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u18898, _u18899), hAPP(hAPP(c_List_Oappend(_u18898), _u18900), _u18901)) = hAPP(hAPP(c_List_Oappend(_u18898), hAPP(c_List_OremoveAll(_u18898, _u18899), _u18900)), hAPP(c_List_OremoveAll(_u18898, _u18899), _u18901))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u18902, _u18903, c_List_Oremdups(_u18902, _u18904)) = c_List_Oremdups(_u18902, c_List_Oinsert(_u18902, _u18903, _u18904))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u18905, _u18906) = c_List_Ofilter(_u18905, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18905), c_fNot), hAPP(c_fequal, _u18906)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u18907, _u18908)) | ( hAPP(c_List_OremoveAll(_u18909, _u18908), hAPP(c_List_Ofilter(_u18909, _u18907), _u18910)) = hAPP(c_List_Ofilter(_u18909, _u18907), _u18910)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18911), _u18912)) | hBOOL(hAPP(c_List_Odistinct(_u18911), c_List_Oinsert(_u18911, _u18913, _u18912))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18914), _u18915)) | hBOOL(hAPP(c_List_Odistinct(_u18914), hAPP(c_List_OremoveAll(_u18914, _u18916), _u18915))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u18921 != _u18923) | ( hAPP(c_List_OremoveAll(_u18925, _u18921), hAPP(hAPP(c_List_Olist_OCons(_u18925), _u18923), _u18927)) = hAPP(c_List_OremoveAll(_u18925, _u18921), _u18927)) )).
% 12.29/12.50 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u18922 = _u18924) | ( hAPP(c_List_OremoveAll(_u18926, _u18922), hAPP(hAPP(c_List_Olist_OCons(_u18926), _u18924), _u18928)) = hAPP(hAPP(c_List_Olist_OCons(_u18926), _u18924), hAPP(c_List_OremoveAll(_u18926, _u18922), _u18928))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u18929, _u18930), c_List_Olist_ONil(_u18929)) = c_List_Olist_ONil(_u18929)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18931), _u18932), hAPP(c_List_Oset(_u18931), _u18933))) | ( hAPP(c_List_OremoveAll(_u18931, _u18932), _u18933) = _u18933) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18934), _u18935)) | ( c_List_Oremove1(_u18934, _u18936, _u18935) = hAPP(c_List_OremoveAll(_u18934, _u18936), _u18935)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18937), _u18938), hAPP(c_List_Oset(_u18937), _u18939))) | ( c_List_Oinsert(_u18937, _u18938, _u18939) = _u18939) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u18940), c_List_Oinsert(_u18940, _u18941, _u18942)) = hAPP(hAPP(c_Set_Oinsert(_u18940), _u18941), hAPP(c_List_Oset(_u18940), _u18942))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u18943, _u18944, c_List_Olist_ONil(_u18943)) = hAPP(hAPP(c_List_Olist_OCons(_u18943), _u18944), c_List_Olist_ONil(_u18943))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u18945, _u18946, _u18947, c_Orderings_Otop__class_Otop(tc_fun(_u18945, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u18945, _u18946), _u18947), hAPP(c_List_OremoveAll(_u18945, _u18948), _u18949)) = hAPP(c_List_OremoveAll(_u18946, hAPP(_u18947, _u18948)), hAPP(hAPP(c_List_Omap(_u18945, _u18946), _u18947), _u18949))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u18950), hAPP(c_List_OremoveAll(_u18950, _u18951), _u18952)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18950, tc_HOL_Obool)), hAPP(c_List_Oset(_u18950), _u18952)), hAPP(hAPP(c_Set_Oinsert(_u18950), _u18951), c_Orderings_Obot__class_Obot(tc_fun(_u18950, tc_HOL_Obool))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18956), _u18958), hAPP(c_List_Oset(_u18956), _u18960))) | ( c_List_Oinsert(_u18956, _u18958, _u18960) = _u18960) )).
% 12.29/12.50 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18957), _u18959), hAPP(c_List_Oset(_u18957), _u18961))) | ( c_List_Oinsert(_u18957, _u18959, _u18961) = hAPP(hAPP(c_List_Olist_OCons(_u18957), _u18959), _u18961)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u18962, _u18963, _u18964, _u18965) = c_List_Oconcat(_u18963, hAPP(hAPP(c_List_Omap(_u18962, tc_List_Olist(_u18963)), _u18964), _u18965))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u18966, hAPP(hAPP(c_List_Omap(_u18967, tc_List_Olist(_u18966)), _u18968), _u18969)) = c_List_Omaps(_u18967, _u18966, _u18968, _u18969)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u18970, _u18971, _u18972, c_List_Olist_ONil(_u18970)) = c_List_Olist_ONil(_u18971)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u18973, _u18974, _u18975, hAPP(hAPP(c_List_Olist_OCons(_u18973), _u18976), _u18977)) = hAPP(hAPP(c_List_Oappend(_u18974), hAPP(_u18975, _u18976)), c_List_Omaps(_u18973, _u18974, _u18975, _u18977))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem496(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.50 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem497(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.50 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( skolem496(_u18982, _u18981) != skolem497(_u18982, _u18981)) )).
% 12.29/12.50 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18981, tc_HOL_Obool)), hAPP(c_List_Oset(_u18981), skolem496(_u18982, _u18981))), hAPP(c_List_Oset(_u18981), skolem497(_u18982, _u18981))) != c_Orderings_Obot__class_Obot(tc_fun(_u18981, tc_HOL_Obool))) )).
% 12.29/12.50 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem496(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.50 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem497(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.50 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( skolem496(_u18982, _u18981) != skolem497(_u18982, _u18981)) )).
% 12.29/12.50 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18981, tc_HOL_Obool)), hAPP(c_List_Oset(_u18981), skolem496(_u18982, _u18981))), hAPP(c_List_Oset(_u18981), skolem497(_u18982, _u18981))) != c_Orderings_Obot__class_Obot(tc_fun(_u18981, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18983, _u18984)), hAPP(_u18983, _u18985))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18986, _u18986)), hAPP(hAPP(c_Product__Type_OPair(_u18986, _u18986), _u18984), _u18985)), c_List_Omeasures(_u18986, _u18987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18986, _u18986)), hAPP(hAPP(c_Product__Type_OPair(_u18986, _u18986), _u18984), _u18985)), c_List_Omeasures(_u18986, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18986, tc_Nat_Onat)), _u18983), _u18987)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u18988, c_List_Omeasures(_u18988, _u18989)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18990, _u18990)), hAPP(hAPP(c_Product__Type_OPair(_u18990, _u18990), _u18991), _u18992)), c_List_Omeasures(_u18990, c_List_Olist_ONil(tc_fun(_u18990, tc_Nat_Onat))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u18993, _u18994) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18993), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18993, tc_List_Olist(tc_fun(_u18993, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18993, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18993, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18993), c_List_Omap(tc_fun(_u18993, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18993, tc_Nat_Onat), _u18993, tc_Nat_Onat), c_COMBI(tc_fun(_u18993, tc_Nat_Onat))))), _u18994))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u19000)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u19000), _u19002), _u19004)), c_List_Omeasures(_u19000, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19000, tc_Nat_Onat)), _u19006), _u19008)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19006, _u19002)), hAPP(_u19006, _u19004))) | ( hAPP(_u19006, _u19002) = hAPP(_u19006, _u19004)) )).
% 12.29/12.50 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u19000)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u19000), _u19002), _u19004)), c_List_Omeasures(_u19000, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19000, tc_Nat_Onat)), _u19006), _u19008)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19006, _u19002)), hAPP(_u19006, _u19004))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u19000)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u19000), _u19002), _u19004)), c_List_Omeasures(_u19000, _u19008))) )).
% 12.29/12.50 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), _u19003), _u19005)), c_List_Omeasures(_u19001, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19001, tc_Nat_Onat)), _u19007), _u19009)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19007, _u19003)), hAPP(_u19007, _u19005))) )).
% 12.29/12.50 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), _u19003), _u19005)), c_List_Omeasures(_u19001, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19001, tc_Nat_Onat)), _u19007), _u19009)))) | ( hAPP(_u19007, _u19003) != hAPP(_u19007, _u19005)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), _u19003), _u19005)), c_List_Omeasures(_u19001, _u19009))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19010, _u19011)), hAPP(_u19010, _u19012))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19013, _u19013)), hAPP(hAPP(c_Product__Type_OPair(_u19013, _u19013), _u19011), _u19012)), c_List_Omeasures(_u19013, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19013, tc_Nat_Onat)), _u19010), _u19014)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19018, _u19016, hAPP(c_COMBC(_u19016, _u19018, _u19018), _u19020), hAPP(_u19021, _u19023)), _u19017) = hAPP(_u19021, hAPP(c_List_Ofoldl(_u19019, _u19016, hAPP(c_COMBC(_u19016, _u19019, _u19019), _u19022), _u19023), _u19017))) | hBOOL(hAPP(hAPP(c_member(_u19016), skolem498(_u19023, _u19022, _u19021, _u19020, _u19019, _u19018, _u19017, _u19016)), hAPP(c_List_Oset(_u19016), _u19017))) )).
% 12.29/12.50 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u19018, _u19016, hAPP(c_COMBC(_u19016, _u19018, _u19018), _u19020), hAPP(_u19021, _u19023)), _u19017) = hAPP(_u19021, hAPP(c_List_Ofoldl(_u19019, _u19016, hAPP(c_COMBC(_u19016, _u19019, _u19019), _u19022), _u19023), _u19017))) | ( hAPP(c_Fun_Ocomp(_u19018, _u19018, _u19019, hAPP(_u19020, skolem498(_u19023, _u19022, _u19021, _u19020, _u19019, _u19018, _u19017, _u19016))), _u19021) != hAPP(c_Fun_Ocomp(_u19019, _u19018, _u19019, _u19021), hAPP(_u19022, skolem498(_u19023, _u19022, _u19021, _u19020, _u19019, _u19018, _u19017, _u19016)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u19028, hAPP(hAPP(c_List_Ozip(_u19024, _u19026), _u19025), _u19027))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), hAPP(hAPP(c_List_Otake(_u19024), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19025)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), hAPP(hAPP(c_List_Otake(_u19026), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19027))) )).
% 12.29/12.50 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u19028, hAPP(hAPP(c_List_Ozip(_u19024, _u19026), _u19025), _u19027))) | ~hBOOL(hAPP(_u19028, hAPP(hAPP(c_List_Ozip(_u19024, _u19026), hAPP(hAPP(c_List_Otake(_u19024), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19025)), hAPP(hAPP(c_List_Otake(_u19026), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19027)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u19029, _u19030, _u19031, _u19032) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u19029, _u19030), _u19031), _u19032))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u19034, _u19036, hAPP(hAPP(c_List_Oappend(_u19034), _u19035), _u19037)) = c_List_OdropWhile(_u19034, _u19036, _u19037)) | hBOOL(hAPP(hAPP(c_member(_u19034), skolem499(_u19037, _u19036, _u19035, _u19034)), hAPP(c_List_Oset(_u19034), _u19035))) )).
% 12.29/12.50 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u19034, _u19036, hAPP(hAPP(c_List_Oappend(_u19034), _u19035), _u19037)) = c_List_OdropWhile(_u19034, _u19036, _u19037)) | ~hBOOL(hAPP(_u19036, skolem499(_u19037, _u19036, _u19035, _u19034))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19039)), _u19040) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19041)), _u19042)) | c_List_Olist__all2(_u19039, _u19041, _u19043, _u19040, _u19042) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem500(_u19043, _u19042, _u19041, _u19040, _u19039)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19039)), _u19040))) )).
% 12.29/12.50 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19039)), _u19040) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19041)), _u19042)) | c_List_Olist__all2(_u19039, _u19041, _u19043, _u19040, _u19042) | ~hBOOL(hAPP(hAPP(_u19043, hAPP(hAPP(c_List_Onth(_u19039), _u19040), skolem500(_u19043, _u19042, _u19041, _u19040, _u19039))), hAPP(hAPP(c_List_Onth(_u19041), _u19042), skolem500(_u19043, _u19042, _u19041, _u19040, _u19039)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | ( hAPP(c_List_Oset(_u19046), skolem501(_u19047, _u19046)) = _u19047) )).
% 12.29/12.50 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | c_List_Olinorder__class_Osorted(_u19046, skolem501(_u19047, _u19046)) )).
% 12.29/12.50 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | hBOOL(hAPP(c_List_Odistinct(_u19046), skolem501(_u19047, _u19046))) )).
% 12.29/12.50 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | ( hAPP(c_List_Oset(_u19046), _u19044) != _u19047) | ~c_List_Olinorder__class_Osorted(_u19046, _u19044) | ~hBOOL(hAPP(c_List_Odistinct(_u19046), _u19044)) | ( _u19044 = skolem501(_u19047, _u19046)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u19049, _u19051, hAPP(hAPP(c_List_Oappend(_u19049), _u19050), _u19052)) = hAPP(hAPP(c_List_Oappend(_u19049), _u19050), c_List_OtakeWhile(_u19049, _u19051, _u19052))) | hBOOL(hAPP(hAPP(c_member(_u19049), skolem502(_u19052, _u19051, _u19050, _u19049)), hAPP(c_List_Oset(_u19049), _u19050))) )).
% 12.29/12.50 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u19049, _u19051, hAPP(hAPP(c_List_Oappend(_u19049), _u19050), _u19052)) = hAPP(hAPP(c_List_Oappend(_u19049), _u19050), c_List_OtakeWhile(_u19049, _u19051, _u19052))) | ~hBOOL(hAPP(_u19051, skolem502(_u19052, _u19051, _u19050, _u19049))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u19054) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19055, _u19054, _u19057), _u19058), _u19056) = hAPP(hAPP(c_List_Olist_OCons(_u19055), _u19058), _u19056)) | hBOOL(hAPP(hAPP(c_member(_u19055), skolem503(_u19058, _u19057, _u19056, _u19055, _u19054)), hAPP(c_List_Oset(_u19055), _u19056))) )).
% 12.29/12.50 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u19054) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19055, _u19054, _u19057), _u19058), _u19056) = hAPP(hAPP(c_List_Olist_OCons(_u19055), _u19058), _u19056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19054), hAPP(_u19057, _u19058)), hAPP(_u19057, skolem503(_u19058, _u19057, _u19056, _u19055, _u19054)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | hBOOL(hAPP(_u19076, _u19072)) )).
% 12.29/12.50 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | ~hBOOL(hAPP(hAPP(c_member(_u19070), _u19059), hAPP(c_List_Oset(_u19070), skolem504(_u19078, _u19076, _u19074, _u19072, _u19070)))) | ~hBOOL(hAPP(_u19076, _u19059)) )).
% 12.29/12.50 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | ( _u19078 = hAPP(hAPP(c_List_Oappend(_u19070), skolem504(_u19078, _u19076, _u19074, _u19072, _u19070)), hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), skolem505(_u19078, _u19076, _u19074, _u19072, _u19070)))) )).
% 12.29/12.50 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | ( _u19074 = hAPP(c_List_Ofilter(_u19070, _u19076), skolem505(_u19078, _u19076, _u19074, _u19072, _u19070))) )).
% 12.29/12.50 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19075) = hAPP(c_List_Ofilter(_u19071, _u19077), _u19079)) | ~hBOOL(hAPP(_u19077, _u19073)) | ( _u19079 != hAPP(hAPP(c_List_Oappend(_u19071), _u19064), hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19063))) | ( _u19075 != hAPP(c_List_Ofilter(_u19071, _u19077), _u19063)) | hBOOL(hAPP(hAPP(c_member(_u19071), skolem506(_u19079, _u19077, _u19075, _u19073, _u19071, _u19064)), hAPP(c_List_Oset(_u19071), _u19064))) )).
% 12.29/12.50 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19075) = hAPP(c_List_Ofilter(_u19071, _u19077), _u19079)) | ~hBOOL(hAPP(_u19077, _u19073)) | ( _u19079 != hAPP(hAPP(c_List_Oappend(_u19071), _u19064), hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19063))) | ( _u19075 != hAPP(c_List_Ofilter(_u19071, _u19077), _u19063)) | hBOOL(hAPP(_u19077, skolem506(_u19079, _u19077, _u19075, _u19073, _u19071, _u19064))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | hBOOL(hAPP(_u19093, _u19097)) )).
% 12.29/12.50 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | ~hBOOL(hAPP(hAPP(c_member(_u19091), _u19080), hAPP(c_List_Oset(_u19091), skolem507(_u19099, _u19097, _u19095, _u19093, _u19091)))) | ~hBOOL(hAPP(_u19093, _u19080)) )).
% 12.29/12.50 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | ( _u19095 = hAPP(hAPP(c_List_Oappend(_u19091), skolem507(_u19099, _u19097, _u19095, _u19093, _u19091)), hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), skolem508(_u19099, _u19097, _u19095, _u19093, _u19091)))) )).
% 12.29/12.50 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | ( _u19099 = hAPP(c_List_Ofilter(_u19091, _u19093), skolem508(_u19099, _u19097, _u19095, _u19093, _u19091))) )).
% 12.29/12.50 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u19092, _u19094), _u19096) = hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19100)) | ~hBOOL(hAPP(_u19094, _u19098)) | ( _u19096 != hAPP(hAPP(c_List_Oappend(_u19092), _u19085), hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19084))) | ( _u19100 != hAPP(c_List_Ofilter(_u19092, _u19094), _u19084)) | hBOOL(hAPP(hAPP(c_member(_u19092), skolem509(_u19100, _u19098, _u19096, _u19094, _u19092, _u19085)), hAPP(c_List_Oset(_u19092), _u19085))) )).
% 12.29/12.50 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u19092, _u19094), _u19096) = hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19100)) | ~hBOOL(hAPP(_u19094, _u19098)) | ( _u19096 != hAPP(hAPP(c_List_Oappend(_u19092), _u19085), hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19084))) | ( _u19100 != hAPP(c_List_Ofilter(_u19092, _u19094), _u19084)) | hBOOL(hAPP(_u19094, skolem509(_u19100, _u19098, _u19096, _u19094, _u19092, _u19085))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19102), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19103)), _u19104))) | hBOOL(hAPP(_u19105, hAPP(hAPP(c_List_Onth(_u19103), _u19104), _u19102))) | hBOOL(hAPP(hAPP(c_member(_u19103), skolem510(_u19105, _u19104, _u19103, _u19102)), hAPP(c_List_Oset(_u19103), _u19104))) )).
% 12.29/12.50 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19102), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19103)), _u19104))) | hBOOL(hAPP(_u19105, hAPP(hAPP(c_List_Onth(_u19103), _u19104), _u19102))) | ~hBOOL(hAPP(_u19105, skolem510(_u19105, _u19104, _u19103, _u19102))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u19107) | ~c_List_Olinorder__class_Osorted(_u19107, _u19108) | c_List_Olinorder__class_Osorted(_u19107, hAPP(hAPP(c_List_Olist_OCons(_u19107), _u19109), _u19108)) | hBOOL(hAPP(hAPP(c_member(_u19107), skolem511(_u19109, _u19108, _u19107)), hAPP(c_List_Oset(_u19107), _u19108))) )).
% 12.29/12.50 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u19107) | ~c_List_Olinorder__class_Osorted(_u19107, _u19108) | c_List_Olinorder__class_Osorted(_u19107, hAPP(hAPP(c_List_Olist_OCons(_u19107), _u19109), _u19108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19107), _u19109), skolem511(_u19109, _u19108, _u19107))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u19115, _u19117, _u19119) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem512(_u19119, _u19117, _u19115)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19115)), _u19119))) )).
% 12.29/12.50 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u19115, _u19117, _u19119) | hBOOL(hAPP(_u19117, hAPP(hAPP(c_List_Onth(_u19115), _u19119), skolem512(_u19119, _u19117, _u19115)))) )).
% 12.29/12.50 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19111), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19116)), _u19120))) | ~hBOOL(hAPP(_u19118, hAPP(hAPP(c_List_Onth(_u19116), _u19120), _u19111))) | c_List_Olist__ex(_u19116, _u19118, _u19120) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19128), _u19130), hAPP(c_List_Oset(_u19128), _u19132))) | ( _u19132 = hAPP(hAPP(c_List_Oappend(_u19128), skolem513(_u19132, _u19130, _u19128)), hAPP(hAPP(c_List_Olist_OCons(_u19128), _u19130), skolem514(_u19132, _u19130, _u19128)))) )).
% 12.29/12.50 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u19133 != hAPP(hAPP(c_List_Oappend(_u19129), _u19124), hAPP(hAPP(c_List_Olist_OCons(_u19129), _u19131), _u19123))) | hBOOL(hAPP(hAPP(c_member(_u19129), _u19131), hAPP(c_List_Oset(_u19129), _u19133))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u19138, _u19140, hAPP(hAPP(c_List_Olist_OCons(_u19138), _u19142), _u19144)) | hBOOL(hAPP(_u19140, _u19142)) | c_List_Olist__ex(_u19138, _u19140, _u19144) )).
% 12.29/12.50 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u19139, _u19141, hAPP(hAPP(c_List_Olist_OCons(_u19139), _u19143), _u19145)) | ~hBOOL(hAPP(_u19141, _u19143)) )).
% 12.29/12.50 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u19139, _u19141, hAPP(hAPP(c_List_Olist_OCons(_u19139), _u19143), _u19145)) | ~c_List_Olist__ex(_u19139, _u19141, _u19145) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u19149, _u19151, hAPP(c_List_Orev(_u19149), _u19153)) | c_List_Olist__ex(_u19149, _u19151, _u19153) )).
% 12.29/12.50 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u19150, _u19152, _u19154) | c_List_Olist__ex(_u19150, _u19152, hAPP(c_List_Orev(_u19150), _u19154)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u19160, _u19162, _u19164) | hBOOL(hAPP(hAPP(c_member(_u19160), skolem515(_u19164, _u19162, _u19160)), hAPP(c_List_Oset(_u19160), _u19164))) )).
% 12.29/12.50 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u19160, _u19162, _u19164) | hBOOL(hAPP(_u19162, skolem515(_u19164, _u19162, _u19160))) )).
% 12.29/12.50 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19161), _u19156), hAPP(c_List_Oset(_u19161), _u19165))) | ~hBOOL(hAPP(_u19163, _u19156)) | c_List_Olist__ex(_u19161, _u19163, _u19165) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u19170, _u19172, hAPP(hAPP(c_List_Oappend(_u19170), _u19174), _u19176)) | c_List_Olist__ex(_u19170, _u19172, _u19174) | c_List_Olist__ex(_u19170, _u19172, _u19176) )).
% 12.29/12.50 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u19171, _u19173, hAPP(hAPP(c_List_Oappend(_u19171), _u19175), _u19177)) | ~c_List_Olist__ex(_u19171, _u19173, _u19175) )).
% 12.29/12.50 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u19171, _u19173, hAPP(hAPP(c_List_Oappend(_u19171), _u19175), _u19177)) | ~c_List_Olist__ex(_u19171, _u19173, _u19177) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u19178, _u19179, c_List_Olist_ONil(_u19178)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19187), _u19189), hAPP(c_List_Oset(_u19187), _u19191))) | ( _u19191 = hAPP(hAPP(c_List_Oappend(_u19187), skolem516(_u19191, _u19189, _u19187)), hAPP(hAPP(c_List_Olist_OCons(_u19187), _u19189), skolem517(_u19191, _u19189, _u19187)))) )).
% 12.29/12.50 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19187), _u19189), hAPP(c_List_Oset(_u19187), _u19191))) | ~hBOOL(hAPP(hAPP(c_member(_u19187), _u19189), hAPP(c_List_Oset(_u19187), skolem516(_u19191, _u19189, _u19187)))) )).
% 12.29/12.50 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u19192 != hAPP(hAPP(c_List_Oappend(_u19188), _u19183), hAPP(hAPP(c_List_Olist_OCons(_u19188), _u19190), _u19182))) | hBOOL(hAPP(hAPP(c_member(_u19188), _u19190), hAPP(c_List_Oset(_u19188), _u19183))) | hBOOL(hAPP(hAPP(c_member(_u19188), _u19190), hAPP(c_List_Oset(_u19188), _u19192))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19200), _u19202), hAPP(c_List_Oset(_u19200), _u19204))) | ( _u19204 = hAPP(hAPP(c_List_Oappend(_u19200), skolem518(_u19204, _u19202, _u19200)), hAPP(hAPP(c_List_Olist_OCons(_u19200), _u19202), skolem519(_u19204, _u19202, _u19200)))) )).
% 12.29/12.50 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19200), _u19202), hAPP(c_List_Oset(_u19200), _u19204))) | ~hBOOL(hAPP(hAPP(c_member(_u19200), _u19202), hAPP(c_List_Oset(_u19200), skolem519(_u19204, _u19202, _u19200)))) )).
% 12.29/12.50 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u19205 != hAPP(hAPP(c_List_Oappend(_u19201), _u19196), hAPP(hAPP(c_List_Olist_OCons(_u19201), _u19203), _u19195))) | hBOOL(hAPP(hAPP(c_member(_u19201), _u19203), hAPP(c_List_Oset(_u19201), _u19195))) | hBOOL(hAPP(hAPP(c_member(_u19201), _u19203), hAPP(c_List_Oset(_u19201), _u19205))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u19211, _u19213, _u19215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19211)), _u19215))) | hBOOL(hAPP(_u19213, hAPP(hAPP(c_List_Onth(_u19211), _u19215), _u19206))) )).
% 12.29/12.50 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u19212, _u19214, _u19216) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem520(_u19216, _u19214, _u19212)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19212)), _u19216))) )).
% 12.29/12.50 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u19212, _u19214, _u19216) | ~hBOOL(hAPP(_u19214, hAPP(hAPP(c_List_Onth(_u19212), _u19216), skolem520(_u19216, _u19214, _u19212)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), skolem522(_u19221, _u19220, _u19219))) )).
% 12.29/12.50 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | ~hBOOL(hAPP(hAPP(c_member(_u19219), skolem521(_u19221, _u19220, _u19219)), skolem522(_u19221, _u19220, _u19219))) )).
% 12.29/12.50 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | hBOOL(hAPP(_u19221, skolem522(_u19221, _u19220, _u19219))) )).
% 12.29/12.50 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | ~hBOOL(hAPP(_u19221, hAPP(hAPP(c_Set_Oinsert(_u19219), skolem521(_u19221, _u19220, _u19219)), skolem522(_u19221, _u19220, _u19219)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u19226, _u19228, hAPP(hAPP(c_List_Olist_OCons(_u19226), _u19230), _u19232)) | hBOOL(hAPP(_u19228, _u19230)) )).
% 12.29/12.50 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u19226, _u19228, hAPP(hAPP(c_List_Olist_OCons(_u19226), _u19230), _u19232)) | c_List_Olist__all(_u19226, _u19228, _u19232) )).
% 12.29/12.50 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u19229, _u19231)) | ~c_List_Olist__all(_u19227, _u19229, _u19233) | c_List_Olist__all(_u19227, _u19229, hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19231), _u19233)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u19237, _u19239, hAPP(c_List_Orev(_u19237), _u19241)) | c_List_Olist__all(_u19237, _u19239, _u19241) )).
% 12.29/12.50 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u19238, _u19240, _u19242) | c_List_Olist__all(_u19238, _u19240, hAPP(c_List_Orev(_u19238), _u19242)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u19248, _u19250, _u19252) | ~hBOOL(hAPP(hAPP(c_member(_u19248), _u19243), hAPP(c_List_Oset(_u19248), _u19252))) | hBOOL(hAPP(_u19250, _u19243)) )).
% 12.29/12.50 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u19249, _u19251, _u19253) | hBOOL(hAPP(hAPP(c_member(_u19249), skolem523(_u19253, _u19251, _u19249)), hAPP(c_List_Oset(_u19249), _u19253))) )).
% 12.29/12.50 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u19249, _u19251, _u19253) | ~hBOOL(hAPP(_u19251, skolem523(_u19253, _u19251, _u19249))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u19258, _u19260, hAPP(hAPP(c_List_Oappend(_u19258), _u19262), _u19264)) | c_List_Olist__all(_u19258, _u19260, _u19262) )).
% 12.29/12.50 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u19258, _u19260, hAPP(hAPP(c_List_Oappend(_u19258), _u19262), _u19264)) | c_List_Olist__all(_u19258, _u19260, _u19264) )).
% 12.29/12.50 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u19259, _u19261, _u19263) | ~c_List_Olist__all(_u19259, _u19261, _u19265) | c_List_Olist__all(_u19259, _u19261, hAPP(hAPP(c_List_Oappend(_u19259), _u19263), _u19265)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u19266, _u19267, c_List_Olist_ONil(_u19266)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u19273, _u19277, _u19275) | hBOOL(hAPP(hAPP(c_member(_u19273), skolem524(_u19277, _u19275, _u19273)), hAPP(c_List_Oset(_u19273), _u19275))) )).
% 12.29/12.50 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u19273, _u19277, _u19275) | ~hBOOL(hAPP(_u19277, skolem524(_u19277, _u19275, _u19273))) )).
% 12.29/12.50 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u19274, _u19278, _u19276) | ~hBOOL(hAPP(hAPP(c_member(_u19274), _u19269), hAPP(c_List_Oset(_u19274), _u19276))) | hBOOL(hAPP(_u19278, _u19269)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u19284, _u19286, _u19288) | ~hBOOL(hAPP(hAPP(c_member(_u19284), _u19279), hAPP(c_List_Oset(_u19284), _u19288))) | hBOOL(hAPP(_u19286, _u19279)) )).
% 12.29/12.50 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u19285, _u19287, _u19289) | hBOOL(hAPP(hAPP(c_member(_u19285), skolem525(_u19289, _u19287, _u19285)), hAPP(c_List_Oset(_u19285), _u19289))) )).
% 12.29/12.50 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u19285, _u19287, _u19289) | ~hBOOL(hAPP(_u19287, skolem525(_u19289, _u19287, _u19285))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u19294, _u19296, hAPP(hAPP(c_List_Olist_OCons(_u19294), _u19298), _u19300)) | ~hBOOL(hAPP(_u19296, _u19298)) | c_List_Olist__all(_u19294, hAPP(hAPP(c_COMBS(_u19294, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19294), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19294), c_fNot), _u19296))), hAPP(c_fequal, _u19298)), _u19300) )).
% 12.29/12.50 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u19294, _u19296, hAPP(hAPP(c_List_Olist_OCons(_u19294), _u19298), _u19300)) | hBOOL(hAPP(_u19296, _u19298)) | c_List_Olist__ex1(_u19294, _u19296, _u19300) )).
% 12.29/12.50 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u19295, _u19297, hAPP(hAPP(c_List_Olist_OCons(_u19295), _u19299), _u19301)) | hBOOL(hAPP(_u19297, _u19299)) | ~c_List_Olist__ex1(_u19295, _u19297, _u19301) )).
% 12.29/12.50 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u19295, _u19297, hAPP(hAPP(c_List_Olist_OCons(_u19295), _u19299), _u19301)) | ~c_List_Olist__all(_u19295, hAPP(hAPP(c_COMBS(_u19295, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19295), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19295), c_fNot), _u19297))), hAPP(c_fequal, _u19299)), _u19301) | ~hBOOL(hAPP(_u19297, _u19299)) )).
% 12.29/12.50 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u19295, _u19297, hAPP(hAPP(c_List_Olist_OCons(_u19295), _u19299), _u19301)) | ~c_List_Olist__all(_u19295, hAPP(hAPP(c_COMBS(_u19295, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19295), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19295), c_fNot), _u19297))), hAPP(c_fequal, _u19299)), _u19301) | ~c_List_Olist__ex1(_u19295, _u19297, _u19301) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measure__function__int-1, axiom, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u19302, _u19303, c_List_Olist_ONil(_u19302)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u19304, _u19305) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u19306, _u19307) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u19308, _u19309) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u19310) | c_FunDef_Ois__measure(_u19310, c_Nat_Osize__class_Osize(_u19310)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u19311, _u19312) | c_FunDef_Ois__measure(tc_prod(_u19313, _u19311), hAPP(hAPP(c_COMBB(_u19311, tc_Nat_Onat, tc_prod(_u19313, _u19311)), _u19312), c_Product__Type_Osnd(_u19313, _u19311))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u19314, _u19315) | c_FunDef_Ois__measure(tc_prod(_u19314, _u19316), hAPP(hAPP(c_COMBB(_u19314, tc_Nat_Onat, tc_prod(_u19314, _u19316)), _u19315), c_Product__Type_Ofst(_u19314, _u19316))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u19324, _u19326, _u19328) | hBOOL(hAPP(hAPP(c_member(_u19324), skolem526(_u19328, _u19326, _u19324)), hAPP(c_List_Oset(_u19324), _u19328))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u19324, _u19326, _u19328) | hBOOL(hAPP(_u19326, skolem526(_u19328, _u19326, _u19324))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u19324, _u19326, _u19328) | ~hBOOL(hAPP(hAPP(c_member(_u19324), _u19317), hAPP(c_List_Oset(_u19324), _u19328))) | ~hBOOL(hAPP(_u19326, _u19317)) | ( _u19317 = skolem526(_u19328, _u19326, _u19324)) )).
% 12.29/12.50 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u19325, _u19327, _u19329) | ~hBOOL(hAPP(hAPP(c_member(_u19325), _u19320), hAPP(c_List_Oset(_u19325), _u19329))) | ~hBOOL(hAPP(_u19327, _u19320)) | hBOOL(hAPP(hAPP(c_member(_u19325), skolem527(_u19329, _u19327, _u19325, _u19320)), hAPP(c_List_Oset(_u19325), _u19329))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u19325, _u19327, _u19329) | ~hBOOL(hAPP(hAPP(c_member(_u19325), _u19320), hAPP(c_List_Oset(_u19325), _u19329))) | ~hBOOL(hAPP(_u19327, _u19320)) | hBOOL(hAPP(_u19327, skolem527(_u19329, _u19327, _u19325, _u19320))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u19325, _u19327, _u19329) | ~hBOOL(hAPP(hAPP(c_member(_u19325), _u19320), hAPP(c_List_Oset(_u19325), _u19329))) | ~hBOOL(hAPP(_u19327, _u19320)) | ( skolem527(_u19329, _u19327, _u19325, _u19320) != _u19320) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_transfer__morphism__int__nat-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u19335 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19337, _u19339, _u19341, _u19343), _u19335) = c_Lazy__Sequence_Ohit__bound(_u19339)) )).
% 12.29/12.50 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u19336 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19338, _u19340, _u19342, _u19344), _u19336) = c_Lazy__Sequence_Ohb__bind(_u19338, _u19340, hAPP(_u19342, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19336), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19338, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19340))), _u19344), _u19336))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_bool_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_bool_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19345, _u19346, _u19347, _u19348, _u19349, _u19350, _u19351) = c_New__DSequence_Oneg__decr__bind(_u19345, _u19346, hAPP(hAPP(hAPP(_u19347, _u19349), _u19350), _u19351), hAPP(hAPP(c_COMBC(_u19345, 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(_u19346)))), hAPP(hAPP(c_COMBC(_u19345, 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(_u19346))))), hAPP(hAPP(c_COMBC(_u19345, 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(_u19346)))))), _u19348), _u19349)), _u19350)), _u19351))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19352, _u19353, _u19354, _u19355), _u19356) = c_Lazy__Sequence_Ohb__bind(_u19352, _u19353, hAPP(_u19354, _u19356), hAPP(hAPP(c_COMBC(_u19352, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19353))), _u19355), _u19356))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19357, _u19358, _u19359, _u19360), _u19361), _u19362), _u19363) = c_New__DSequence_Oneg__bind(_u19357, _u19358, hAPP(hAPP(hAPP(_u19359, _u19361), _u19362), _u19363), hAPP(hAPP(c_COMBC(_u19357, 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(_u19358)))), hAPP(hAPP(c_COMBC(_u19357, 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(_u19358))))), hAPP(hAPP(c_COMBC(_u19357, 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(_u19358)))))), _u19360), _u19361)), _u19362)), _u19363))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u19369 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19371, _u19373, _u19375, _u19377), _u19369) = c_Lazy__Sequence_Oempty(_u19373)) )).
% 12.29/12.50 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u19370 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19372, _u19374, _u19376, _u19378), _u19370) = hAPP(c_Lazy__Sequence_Obind(_u19372, _u19374, hAPP(_u19376, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19370), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19372, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19374)), _u19378), _u19370))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19379, _u19380, _u19381, _u19382, _u19383, _u19384, _u19385) = c_New__DSequence_Opos__decr__bind(_u19379, _u19380, hAPP(hAPP(hAPP(_u19381, _u19383), _u19384), _u19385), hAPP(hAPP(c_COMBC(_u19379, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19380))), hAPP(hAPP(c_COMBC(_u19379, 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(_u19380)))), hAPP(hAPP(c_COMBC(_u19379, 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(_u19380))))), _u19382), _u19383)), _u19384)), _u19385))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u19386), _u19387) = c_Lazy__Sequence_Oempty(_u19386)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u19388, _u19389, _u19390, _u19391) = c_New__DSequence_Opos__empty(_u19388)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u19392, _u19393, _u19394, _u19395), _u19396) = hAPP(c_Lazy__Sequence_Obind(_u19392, _u19393, hAPP(_u19394, _u19396)), hAPP(hAPP(c_COMBC(_u19392, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19393)), _u19395), _u19396))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19397, _u19398, _u19399, _u19400), _u19401), _u19402), _u19403) = c_New__DSequence_Opos__bind(_u19397, _u19398, hAPP(hAPP(hAPP(_u19399, _u19401), _u19402), _u19403), hAPP(hAPP(c_COMBC(_u19397, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19398))), hAPP(hAPP(c_COMBC(_u19397, 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(_u19398)))), hAPP(hAPP(c_COMBC(_u19397, 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(_u19398))))), _u19400), _u19401)), _u19402)), _u19403))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u19404, _u19405, _u19406, _u19407) = c_New__Random__Sequence_Oneg__bind(_u19404, _u19405, _u19407, hAPP(c_Fun_Ocomp(_u19405, 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(_u19405)))))), _u19404, c_New__Random__Sequence_Oneg__single(_u19405)), _u19406))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19408), _u19409), _u19410), _u19411), _u19412) = c_New__DSequence_Oneg__single(_u19408, _u19409)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u19413, _u19414, _u19415, _u19416) = c_New__Random__Sequence_Opos__bind(_u19413, _u19414, _u19416, hAPP(c_Fun_Ocomp(_u19414, 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(_u19414))))), _u19413, c_New__Random__Sequence_Opos__single(_u19414)), _u19415))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u19417, _u19418), _u19419) = c_Lazy__Sequence_Ohb__single(_u19417, _u19418)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19420), _u19421), _u19422), _u19423), _u19424) = c_New__DSequence_Opos__single(_u19420, _u19421)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u19425, _u19426), _u19427) = hAPP(c_Lazy__Sequence_Osingle(_u19425), _u19426)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19428)), c_List_Osplice(_u19428, _u19429, _u19430)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19428)), _u19429)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19428)), _u19430))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u19431, hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19432), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19434), _u19435)) = hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19432), hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19434), c_List_Osplice(_u19431, _u19433, _u19435)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u19436, c_List_Olist_ONil(_u19436), _u19437) = _u19437) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u19438, _u19439, c_List_Olist_ONil(_u19438)) = _u19439) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u19440, hAPP(hAPP(c_List_Olist_OCons(_u19440), _u19441), _u19442), c_List_Olist_ONil(_u19440)) = hAPP(hAPP(c_List_Olist_OCons(_u19440), _u19441), _u19442)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_ ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19443, _u19444, _u19445, _u19446) = hAPP(c_Lazy__Sequence_Obind(_u19443, tc_prod(_u19443, _u19444), _u19445), hAPP(hAPP(c_COMBB(tc_fun(_u19444, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444)), _u19443), c_Lazy__Sequence_Obind(_u19444, tc_prod(_u19443, _u19444), _u19446)), hAPP(hAPP(c_COMBB(tc_fun(_u19444, tc_prod(_u19443, _u19444)), tc_fun(_u19444, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444))), _u19443), hAPP(c_COMBB(tc_prod(_u19443, _u19444), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444)), _u19444), c_Lazy__Sequence_Osingle(tc_prod(_u19443, _u19444)))), c_Product__Type_OPair(_u19443, _u19444))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19447, _u19448, _u19449, c_Orderings_Otop__class_Otop(tc_fun(_u19447, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19448, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19447, _u19448, _u19449), hAPP(c_Set_OCollect(_u19447), _u19450)) = hAPP(c_Set_OCollect(_u19448), hAPP(hAPP(c_COMBB(_u19447, tc_HOL_Obool, _u19448), _u19450), c_Hilbert__Choice_Oinv__into(_u19447, _u19448, c_Orderings_Otop__class_Otop(tc_fun(_u19447, tc_HOL_Obool)), _u19449)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u19451, _u19452, _u19453, _u19454) | ~hBOOL(hAPP(hAPP(c_member(_u19451), _u19455), _u19454)) | ( hAPP(_u19453, _u19455) != _u19456) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19451, _u19452, _u19454, _u19453), _u19456) = _u19455) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19457, _u19458, _u19459, _u19460) | ~hBOOL(hAPP(hAPP(c_member(_u19457), _u19461), _u19460)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19457, _u19458, _u19460, _u19459), hAPP(_u19459, _u19461)) = _u19461) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19462, _u19463, _u19464, c_Orderings_Otop__class_Otop(tc_fun(_u19462, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19462, _u19463, c_Orderings_Otop__class_Otop(tc_fun(_u19462, tc_HOL_Obool)), _u19464), hAPP(_u19464, _u19465)) = _u19465) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u19466, _u19467, _u19468, c_Orderings_Otop__class_Otop(tc_fun(_u19466, tc_HOL_Obool))) | ( hAPP(_u19468, _u19469) != _u19470) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19466, _u19467, c_Orderings_Otop__class_Otop(tc_fun(_u19466, tc_HOL_Obool)), _u19468), _u19470) = _u19469) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19471, _u19472, _u19473, _u19474), _u19475) = c_Hilbert__Choice_OEps(_u19471, hAPP(hAPP(c_COMBS(_u19471, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19471), c_fconj), hAPP(hAPP(c_COMBC(_u19471, tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19471)), _u19473))), hAPP(hAPP(c_COMBC(_u19471, _u19472, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19472, tc_fun(_u19472, tc_HOL_Obool), _u19471), c_fequal), _u19474)), _u19475)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19476, _u19477, _u19478, c_Orderings_Otop__class_Otop(tc_fun(_u19476, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19477, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19477, _u19476, c_Orderings_Otop__class_Otop(tc_fun(_u19477, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u19476, _u19477, c_Orderings_Otop__class_Otop(tc_fun(_u19476, tc_HOL_Obool)), _u19478)) = _u19478) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u19479, _u19480, _u19481, c_Orderings_Otop__class_Otop(tc_fun(_u19479, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19480, tc_HOL_Obool))) | c_Fun_Obij__betw(_u19480, _u19479, c_Hilbert__Choice_Oinv__into(_u19479, _u19480, c_Orderings_Otop__class_Otop(tc_fun(_u19479, tc_HOL_Obool)), _u19481), c_Orderings_Otop__class_Otop(tc_fun(_u19480, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19479, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u19482, _u19483, _u19484, _u19485, _u19486) | c_Fun_Obij__betw(_u19483, _u19482, c_Hilbert__Choice_Oinv__into(_u19482, _u19483, _u19485, _u19484), _u19486, _u19485) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19487, _u19488, _u19489, _u19490, _u19491) | ~hBOOL(hAPP(hAPP(c_member(_u19487), _u19492), _u19490)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19488, _u19487, _u19491, c_Hilbert__Choice_Oinv__into(_u19487, _u19488, _u19490, _u19489)), _u19492) = hAPP(_u19489, _u19492)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u19493, _u19494, _u19495), _u19496) != _u19497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19494, tc_HOL_Obool)), _u19498), _u19497)) | ( hAPP(c_Set_Oimage(_u19493, _u19494, _u19495), hAPP(c_Set_Oimage(_u19494, _u19493, c_Hilbert__Choice_Oinv__into(_u19493, _u19494, _u19496, _u19495)), _u19498)) = _u19498) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u19504, _u19506, _u19508), c_Orderings_Otop__class_Otop(tc_fun(_u19504, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19506, tc_HOL_Obool))) | ( hAPP(_u19508, hAPP(c_Hilbert__Choice_Oinv__into(_u19504, _u19506, c_Orderings_Otop__class_Otop(tc_fun(_u19504, tc_HOL_Obool)), _u19508), _u19499)) = _u19499) )).
% 12.29/12.50 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u19509, hAPP(c_Hilbert__Choice_Oinv__into(_u19505, _u19507, c_Orderings_Otop__class_Otop(tc_fun(_u19505, tc_HOL_Obool)), _u19509), skolem528(_u19509, _u19507, _u19505))) != skolem528(_u19509, _u19507, _u19505)) | ( hAPP(c_Set_Oimage(_u19505, _u19507, _u19509), c_Orderings_Otop__class_Otop(tc_fun(_u19505, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19507, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u19510, _u19511, _u19512), c_Orderings_Otop__class_Otop(tc_fun(_u19510, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19511, tc_HOL_Obool))) | ( hAPP(_u19512, hAPP(c_Hilbert__Choice_Oinv__into(_u19510, _u19511, c_Orderings_Otop__class_Otop(tc_fun(_u19510, tc_HOL_Obool)), _u19512), _u19513)) = _u19513) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u19514, _u19515, _u19516), c_Orderings_Otop__class_Otop(tc_fun(_u19514, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19515, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19514, _u19515, _u19516), hAPP(c_Set_Oimage(_u19515, _u19514, c_Hilbert__Choice_Oinv__into(_u19514, _u19515, c_Orderings_Otop__class_Otop(tc_fun(_u19514, tc_HOL_Obool)), _u19516)), _u19517)) = _u19517) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19518, _u19519, _u19520, _u19521), _u19522) != hAPP(c_Hilbert__Choice_Oinv__into(_u19518, _u19519, _u19520, _u19521), _u19523)) | ~hBOOL(hAPP(hAPP(c_member(_u19519), _u19522), hAPP(c_Set_Oimage(_u19518, _u19519, _u19521), _u19520))) | ~hBOOL(hAPP(hAPP(c_member(_u19519), _u19523), hAPP(c_Set_Oimage(_u19518, _u19519, _u19521), _u19520))) | ( _u19522 = _u19523) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19524), _u19525), hAPP(c_Set_Oimage(_u19526, _u19524, _u19527), _u19528))) | hBOOL(hAPP(hAPP(c_member(_u19526), hAPP(c_Hilbert__Choice_Oinv__into(_u19526, _u19524, _u19528, _u19527), _u19525)), _u19528)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19529), _u19530), hAPP(c_Set_Oimage(_u19531, _u19529, _u19532), _u19533))) | ( hAPP(_u19532, hAPP(c_Hilbert__Choice_Oinv__into(_u19531, _u19529, _u19533, _u19532), _u19530)) = _u19530) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u19534, _u19534, c_Orderings_Otop__class_Otop(tc_fun(_u19534, tc_HOL_Obool)), c_Fun_Oid(_u19534)) = c_Fun_Oid(_u19534)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19535, _u19536, c_Orderings_Otop__class_Otop(tc_fun(_u19535, tc_HOL_Obool)), _u19537), _u19538) = c_Hilbert__Choice_OEps(_u19535, hAPP(hAPP(c_COMBC(_u19535, _u19536, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19536, tc_fun(_u19536, tc_HOL_Obool), _u19535), c_fequal), _u19537)), _u19538))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19539, tc_HOL_Obool)), _u19540), hAPP(c_Set_Oimage(_u19541, _u19539, _u19542), _u19543))) | c_Fun_Oinj__on(_u19539, _u19541, c_Hilbert__Choice_Oinv__into(_u19541, _u19539, _u19543, _u19542), _u19540) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19544, _u19545, _u19546, _u19547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19544, tc_HOL_Obool)), _u19548), _u19547)) | ( hAPP(c_Set_Oimage(_u19545, _u19544, c_Hilbert__Choice_Oinv__into(_u19544, _u19545, _u19547, _u19546)), hAPP(c_Set_Oimage(_u19544, _u19545, _u19546), _u19548)) = _u19548) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u19549, _u19550, _u19551, c_Orderings_Otop__class_Otop(tc_fun(_u19549, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19550, _u19549, c_Hilbert__Choice_Oinv__into(_u19549, _u19550, c_Orderings_Otop__class_Otop(tc_fun(_u19549, tc_HOL_Obool)), _u19551)), c_Orderings_Otop__class_Otop(tc_fun(_u19550, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19549, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19552, _u19553, _u19554, c_Orderings_Otop__class_Otop(tc_fun(_u19552, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19553, _u19552, c_Hilbert__Choice_Oinv__into(_u19552, _u19553, c_Orderings_Otop__class_Otop(tc_fun(_u19552, tc_HOL_Obool)), _u19554)), hAPP(c_Set_Oimage(_u19552, _u19553, _u19554), _u19555)) = _u19555) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u19556, _u19557, _u19558, c_Orderings_Otop__class_Otop(tc_fun(_u19556, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19557, _u19556, c_Hilbert__Choice_Oinv__into(_u19556, _u19557, c_Orderings_Otop__class_Otop(tc_fun(_u19556, tc_HOL_Obool)), _u19558)), hAPP(c_Set_Oimage(_u19556, _u19557, _u19558), _u19559)) = _u19559) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u19560, _u19561, _u19562), c_Orderings_Otop__class_Otop(tc_fun(_u19560, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19561, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19561, _u19560, c_Hilbert__Choice_Oinv__into(_u19560, _u19561, c_Orderings_Otop__class_Otop(tc_fun(_u19560, tc_HOL_Obool)), _u19562), c_Orderings_Otop__class_Otop(tc_fun(_u19561, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19563, _u19564, _u19565, c_Orderings_Otop__class_Otop(tc_fun(_u19563, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19564, _u19566, _u19563, hAPP(c_Fun_Ocomp(_u19563, _u19566, _u19564, _u19567), c_Hilbert__Choice_Oinv__into(_u19563, _u19564, c_Orderings_Otop__class_Otop(tc_fun(_u19563, tc_HOL_Obool)), _u19565))), _u19565) = _u19567) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u19568, _u19569, _u19570, c_Orderings_Otop__class_Otop(tc_fun(_u19568, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19569, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u19571, _u19568, _u19572, c_Orderings_Otop__class_Otop(tc_fun(_u19571, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19568, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19571, _u19569, c_Orderings_Otop__class_Otop(tc_fun(_u19571, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u19568, _u19569, _u19571, _u19570), _u19572)) = hAPP(c_Fun_Ocomp(_u19568, _u19571, _u19569, c_Hilbert__Choice_Oinv__into(_u19571, _u19568, c_Orderings_Otop__class_Otop(tc_fun(_u19571, tc_HOL_Obool)), _u19572)), c_Hilbert__Choice_Oinv__into(_u19568, _u19569, c_Orderings_Otop__class_Otop(tc_fun(_u19568, tc_HOL_Obool)), _u19570))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u19573, _u19574, _u19575, hAPP(c_Set_Oimage(_u19576, _u19573, _u19577), _u19578)) | ~c_Fun_Oinj__on(_u19576, _u19573, _u19577, _u19578) | ~hBOOL(hAPP(hAPP(c_member(_u19574), _u19579), hAPP(c_Set_Oimage(_u19573, _u19574, _u19575), hAPP(c_Set_Oimage(_u19576, _u19573, _u19577), _u19578)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19576, _u19574, _u19578, hAPP(c_Fun_Ocomp(_u19573, _u19574, _u19576, _u19575), _u19577)), _u19579) = hAPP(hAPP(c_Fun_Ocomp(_u19573, _u19576, _u19574, c_Hilbert__Choice_Oinv__into(_u19576, _u19573, _u19578, _u19577)), c_Hilbert__Choice_Oinv__into(_u19573, _u19574, hAPP(c_Set_Oimage(_u19576, _u19573, _u19577), _u19578), _u19575)), _u19579)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u19583, _u19585, _u19587), c_Orderings_Otop__class_Otop(tc_fun(_u19583, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19585, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19583, _u19585, _u19585, _u19587), c_Hilbert__Choice_Oinv__into(_u19583, _u19585, c_Orderings_Otop__class_Otop(tc_fun(_u19583, tc_HOL_Obool)), _u19587)) = c_Fun_Oid(_u19585)) )).
% 12.29/12.50 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u19584, _u19586, _u19586, _u19588), c_Hilbert__Choice_Oinv__into(_u19584, _u19586, c_Orderings_Otop__class_Otop(tc_fun(_u19584, tc_HOL_Obool)), _u19588)) != c_Fun_Oid(_u19586)) | ( hAPP(c_Set_Oimage(_u19584, _u19586, _u19588), c_Orderings_Otop__class_Otop(tc_fun(_u19584, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19586, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19589, _u19590, _u19591, c_Orderings_Otop__class_Otop(tc_fun(_u19589, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19590, _u19589, _u19589, c_Hilbert__Choice_Oinv__into(_u19589, _u19590, c_Orderings_Otop__class_Otop(tc_fun(_u19589, tc_HOL_Obool)), _u19591)), _u19591) = c_Fun_Oid(_u19589)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u19595, _u19597, _u19599, c_Orderings_Otop__class_Otop(tc_fun(_u19595, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19597, _u19595, _u19595, c_Hilbert__Choice_Oinv__into(_u19595, _u19597, c_Orderings_Otop__class_Otop(tc_fun(_u19595, tc_HOL_Obool)), _u19599)), _u19599) = c_Fun_Oid(_u19595)) )).
% 12.29/12.50 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u19598, _u19596, _u19596, c_Hilbert__Choice_Oinv__into(_u19596, _u19598, c_Orderings_Otop__class_Otop(tc_fun(_u19596, tc_HOL_Obool)), _u19600)), _u19600) != c_Fun_Oid(_u19596)) | c_Fun_Oinj__on(_u19596, _u19598, _u19600, c_Orderings_Otop__class_Otop(tc_fun(_u19596, tc_HOL_Obool))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_bij__vimage__eq__inv__image ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_bij__vimage__eq__inv__image-1, axiom, ( ~c_Fun_Obij__betw(_u19601, _u19602, _u19603, c_Orderings_Otop__class_Otop(tc_fun(_u19601, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19602, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u19601, _u19602, _u19603), _u19604) = hAPP(c_Set_Oimage(_u19602, _u19601, c_Hilbert__Choice_Oinv__into(_u19601, _u19602, c_Orderings_Otop__class_Otop(tc_fun(_u19601, tc_HOL_Obool)), _u19603)), _u19604)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u19606, _u19607, _u19608, c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool))) | hBOOL(hAPP(_u19609, _u19610)) | hBOOL(hAPP(hAPP(c_member(_u19607), skolem529(_u19610, _u19609, _u19608, _u19607, _u19606)), hAPP(c_Set_Oimage(_u19606, _u19607, _u19608), c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool))))) )).
% 12.29/12.50 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u19606, _u19607, _u19608, c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool))) | hBOOL(hAPP(_u19609, _u19610)) | ~hBOOL(hAPP(_u19609, hAPP(c_Hilbert__Choice_Oinv__into(_u19606, _u19607, c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool)), _u19608), skolem529(_u19610, _u19609, _u19608, _u19607, _u19606)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19611) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19611), _u19612) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19611), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19611)), c_List_Olist_ONil(_u19611)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19612)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19611, tc_List_Olist(_u19611)), tc_List_Olist(_u19611), c_Lazy__Sequence_Oproduct(_u19611, tc_List_Olist(_u19611), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19612), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19612), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19611, tc_List_Olist(_u19611), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19611), tc_List_Olist(_u19611)), tc_fun(tc_List_Olist(_u19611), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611))), _u19611), hAPP(c_COMBB(tc_List_Olist(_u19611), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611)), tc_List_Olist(_u19611)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19611)))), c_List_Olist_OCons(_u19611))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19611))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19613) | ~class_Lazy__Sequence_Osmall__lazy(_u19614) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19613, _u19614), _u19615) = c_Lazy__Sequence_Oproduct(_u19613, _u19614, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19613, _u19615), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19614, _u19615))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u19616, _u19617, _u19618), _u19619) = c_Lazy__Sequence_Oappend(_u19616, hAPP(_u19617, _u19619), hAPP(_u19618, _u19619))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19622, hAPP(c_Set_OCollect(tc_prod(_u19622, _u19622)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19622, _u19622, tc_HOL_Obool), c_Predicate_Oconversep(_u19622, _u19622, _u19624)))) | c_Wellfounded_Oacyclic(_u19622, hAPP(c_Set_OCollect(tc_prod(_u19622, _u19622)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19622, _u19622, tc_HOL_Obool), _u19624))) )).
% 12.29/12.50 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19623, hAPP(c_Set_OCollect(tc_prod(_u19623, _u19623)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19623, _u19623, tc_HOL_Obool), _u19625))) | c_Wellfounded_Oacyclic(_u19623, hAPP(c_Set_OCollect(tc_prod(_u19623, _u19623)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19623, _u19623, tc_HOL_Obool), c_Predicate_Oconversep(_u19623, _u19623, _u19625)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u19626, _u19627, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19626, tc_fun(_u19627, tc_HOL_Obool))), _u19628), _u19629)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19627, tc_fun(_u19626, tc_HOL_Obool))), c_Predicate_Oconversep(_u19626, _u19627, _u19628)), c_Predicate_Oconversep(_u19626, _u19627, _u19629))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u19630, _u19630, c_fequal) = c_fequal) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u19631, _u19632, c_Predicate_Oconversep(_u19632, _u19631, _u19633)) = _u19633) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u19643, _u19647), _u19645)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19639, _u19641, _u19643), _u19645), _u19647)) )).
% 12.29/12.50 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19644, _u19648), _u19646)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19640, _u19642, _u19644), _u19646), _u19648)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u19658, _u19662), _u19660)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19654, _u19656, _u19658), _u19660), _u19662)) )).
% 12.29/12.50 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19659, _u19663), _u19661)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19655, _u19657, _u19659), _u19661), _u19663)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19664, _u19665), _u19666)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19667, _u19668, _u19664), _u19666), _u19665)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u19671, _u19673), _u19672)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19669, _u19670, _u19671), _u19672), _u19673)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep__noteq-1, axiom, ( ( _u19679 != _u19681) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19677, _u19677, hAPP(hAPP(c_COMBB(tc_fun(_u19677, tc_HOL_Obool), tc_fun(_u19677, tc_HOL_Obool), _u19677), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19677), c_fNot)), c_fequal)), _u19679), _u19681)) )).
% 12.29/12.50 cnf(fact_conversep__noteq-2, axiom, ( ( _u19680 = _u19682) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19678, _u19678, hAPP(hAPP(c_COMBB(tc_fun(_u19678, tc_HOL_Obool), tc_fun(_u19678, tc_HOL_Obool), _u19678), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19678), c_fNot)), c_fequal)), _u19680), _u19682)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u19683, _u19684, c_Predicate_Opred__comp(_u19683, _u19685, _u19684, _u19686, _u19687)) = c_Predicate_Opred__comp(_u19684, _u19685, _u19683, c_Predicate_Oconversep(_u19685, _u19684, _u19687), c_Predicate_Oconversep(_u19683, _u19685, _u19686))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u19688, _u19689, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19688, tc_fun(_u19689, tc_HOL_Obool))), _u19690), _u19691)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19689, tc_fun(_u19688, tc_HOL_Obool))), c_Predicate_Oconversep(_u19688, _u19689, _u19690)), c_Predicate_Oconversep(_u19688, _u19689, _u19691))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19697, _u19699, hAPP(hAPP(c_COMBC(_u19697, tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_fun(_u19699, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19699, tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_fun(_u19699, tc_HOL_Obool)), _u19697), c_COMBC(_u19699, tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19699, tc_prod(_u19697, _u19699)), tc_fun(_u19699, tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool)), _u19697), hAPP(c_COMBB(tc_prod(_u19697, _u19699), tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool), _u19699), c_member(tc_prod(_u19697, _u19699)))), c_Product__Type_OPair(_u19697, _u19699)))), _u19701)), _u19703), _u19705)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19699, _u19697)), hAPP(hAPP(c_Product__Type_OPair(_u19699, _u19697), _u19703), _u19705)), hAPP(c_Relation_Oconverse(_u19697, _u19699), _u19701))) )).
% 12.29/12.50 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19700, _u19698)), hAPP(hAPP(c_Product__Type_OPair(_u19700, _u19698), _u19704), _u19706)), hAPP(c_Relation_Oconverse(_u19698, _u19700), _u19702))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19698, _u19700, hAPP(hAPP(c_COMBC(_u19698, tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_fun(_u19700, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19700, tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_fun(_u19700, tc_HOL_Obool)), _u19698), c_COMBC(_u19700, tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19700, tc_prod(_u19698, _u19700)), tc_fun(_u19700, tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool)), _u19698), hAPP(c_COMBB(tc_prod(_u19698, _u19700), tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool), _u19700), c_member(tc_prod(_u19698, _u19700)))), c_Product__Type_OPair(_u19698, _u19700)))), _u19702)), _u19704), _u19706)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u19707, _u19708, _u19709, _u19710, _u19711, _u19712) = c_New__DSequence_Opos__union(_u19707, hAPP(hAPP(hAPP(_u19708, _u19710), _u19711), _u19712), hAPP(hAPP(hAPP(_u19709, _u19710), _u19711), _u19712))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19715), _u19717)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19715, _u19717) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.29/12.50 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19716), _u19718)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19716, _u19718) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19718), c_Lazy__Sequence_Osmall__lazy_H(_u19716, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19718), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19719) = c_Lazy__Sequence_Osmall__lazy_H(_u19719, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19719))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 12.29/12.50 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), _u19720), _u19721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19720), _u19721)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19720, _u19721) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.29/12.50 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), _u19720), _u19721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19720), _u19721)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19720, _u19721) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19721), c_Lazy__Sequence_Osmall__lazy_H(_u19720, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19721), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_tl__replicate-1, axiom, ( ( _u19722 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19723), c_List_Oreplicate(_u19723, _u19722, _u19724)) = c_List_Oreplicate(_u19723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19722), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19724)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19725, _u19726), _u19727), c_List_Oreplicate(_u19725, _u19728, _u19729)) = c_List_Oreplicate(_u19726, _u19728, hAPP(_u19727, _u19729))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19730, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19731) = c_List_Olist_ONil(_u19730)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_empty__replicate-1, axiom, ( ( _u19737 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19735) != c_List_Oreplicate(_u19735, _u19737, _u19739)) )).
% 12.29/12.50 cnf(fact_empty__replicate-2, axiom, ( ( _u19738 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19736) = c_List_Oreplicate(_u19736, _u19738, _u19740)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__empty-1, axiom, ( ( _u19746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19744, _u19746, _u19748) != c_List_Olist_ONil(_u19744)) )).
% 12.29/12.50 cnf(fact_replicate__empty-2, axiom, ( ( _u19747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19745, _u19747, _u19749) = c_List_Olist_ONil(_u19745)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19750, c_List_Oreplicate(tc_List_Olist(_u19750), _u19751, c_List_Olist_ONil(_u19750))) = c_List_Olist_ONil(_u19750)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19756, _u19758)) | ( hAPP(c_List_Ofilter(_u19760, _u19756), c_List_Oreplicate(_u19760, _u19762, _u19758)) = c_List_Oreplicate(_u19760, _u19762, _u19758)) )).
% 12.29/12.50 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19757, _u19759)) | ( hAPP(c_List_Ofilter(_u19761, _u19757), c_List_Oreplicate(_u19761, _u19763, _u19759)) = c_List_Olist_ONil(_u19761)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19764), c_List_Oreplicate(_u19764, _u19765, _u19766)), c_List_Oreplicate(_u19764, _u19767, _u19766)) = hAPP(hAPP(c_List_Oappend(_u19764), c_List_Oreplicate(_u19764, _u19767, _u19766)), c_List_Oreplicate(_u19764, _u19765, _u19766))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u19768, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19769), _u19770), _u19771) = hAPP(hAPP(c_List_Oappend(_u19768), c_List_Oreplicate(_u19768, _u19769, _u19771)), c_List_Oreplicate(_u19768, _u19770, _u19771))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19772), _u19773)) | ( hAPP(hAPP(c_List_Onth(_u19774), c_List_Oreplicate(_u19774, _u19773, _u19775)), _u19772) = _u19775) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19781, _u19783, _u19785) != c_List_Oreplicate(_u19781, _u19787, _u19789)) | ( _u19783 = _u19787) )).
% 12.29/12.50 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19781, _u19783, _u19785) != c_List_Oreplicate(_u19781, _u19787, _u19789)) | ( _u19783 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19785 = _u19789) )).
% 12.29/12.50 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19782, _u19784, _u19786) = c_List_Oreplicate(_u19782, _u19788, _u19790)) | ( _u19784 != _u19788) | ( _u19784 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19782, _u19784, _u19786) = c_List_Oreplicate(_u19782, _u19788, _u19790)) | ( _u19784 != _u19788) | ( _u19786 != _u19790) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19797), _u19791), hAPP(c_List_Oset(_u19797), c_List_Oreplicate(_u19797, _u19799, _u19801)))) | ~hBOOL(hAPP(_u19803, _u19791)) | hBOOL(hAPP(_u19803, _u19801)) )).
% 12.29/12.50 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19797), _u19791), hAPP(c_List_Oset(_u19797), c_List_Oreplicate(_u19797, _u19799, _u19801)))) | ~hBOOL(hAPP(_u19803, _u19791)) | ( _u19799 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u19804, _u19802)) | ( _u19800 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19798), skolem530(_u19804, _u19802, _u19800, _u19798)), hAPP(c_List_Oset(_u19798), c_List_Oreplicate(_u19798, _u19800, _u19802)))) )).
% 12.29/12.50 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u19804, _u19802)) | ( _u19800 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19804, skolem530(_u19804, _u19802, _u19800, _u19798))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u19817, _u19815)) | ( _u19813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19811), skolem531(_u19817, _u19815, _u19813, _u19811)), hAPP(c_List_Oset(_u19811), c_List_Oreplicate(_u19811, _u19813, _u19815)))) )).
% 12.29/12.50 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u19817, _u19815)) | ( _u19813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19817, skolem531(_u19817, _u19815, _u19813, _u19811))) )).
% 12.29/12.50 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19812), _u19806), hAPP(c_List_Oset(_u19812), c_List_Oreplicate(_u19812, _u19814, _u19816)))) | hBOOL(hAPP(_u19818, _u19806)) | ~hBOOL(hAPP(_u19818, _u19816)) )).
% 12.29/12.50 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19812), _u19806), hAPP(c_List_Oset(_u19812), c_List_Oreplicate(_u19812, _u19814, _u19816)))) | hBOOL(hAPP(_u19818, _u19806)) | ( _u19814 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19819, _u19820), c_List_Oreplicate(_u19819, _u19821, _u19822)), c_List_Oreplicate(_u19820, _u19823, _u19824)) = c_List_Oreplicate(tc_prod(_u19819, _u19820), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19821), _u19823), hAPP(hAPP(c_Product__Type_OPair(_u19819, _u19820), _u19822), _u19824))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19825), _u19826), c_List_Oreplicate(_u19825, _u19827, _u19828)) = c_List_Oreplicate(_u19825, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19827), _u19826), _u19828)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_hd__replicate-1, axiom, ( ( _u19829 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19830), c_List_Oreplicate(_u19830, _u19829, _u19831)) = _u19831) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19832), _u19833), c_List_Oreplicate(_u19832, _u19834, _u19835)) = c_List_Oreplicate(_u19832, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19833), _u19834), _u19835)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_last__replicate-1, axiom, ( ( _u19836 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19837, c_List_Oreplicate(_u19837, _u19836, _u19838)) = _u19838) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19839), c_List_Oreplicate(_u19839, _u19840, _u19841)) = c_List_Oreplicate(_u19839, _u19840, _u19841)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u19842, hAPP(c_Nat_OSuc, _u19843), _u19844) = hAPP(hAPP(c_List_Olist_OCons(_u19842), _u19844), c_List_Oreplicate(_u19842, _u19843, _u19844))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19845), c_List_Oreplicate(_u19845, _u19846, _u19847)), hAPP(hAPP(c_List_Olist_OCons(_u19845), _u19847), _u19848)) = hAPP(hAPP(c_List_Olist_OCons(_u19845), _u19847), hAPP(hAPP(c_List_Oappend(_u19845), c_List_Oreplicate(_u19845, _u19846, _u19847)), _u19848))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19849, _u19850), hAPP(c_COMBK(_u19850, _u19849), _u19851)), _u19852) = c_List_Oreplicate(_u19850, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19849)), _u19852), _u19851)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19853)), c_List_Oreplicate(_u19853, _u19854, _u19855)) = _u19854) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19856, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19856)), hAPP(c_List_Ofilter(_u19856, hAPP(c_fequal, _u19857)), _u19858)), _u19857) = hAPP(c_List_Ofilter(_u19856, hAPP(c_fequal, _u19857)), _u19858)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19863), _u19865), hAPP(c_List_Oset(_u19863), c_List_Oreplicate(_u19863, _u19867, _u19869)))) | ( _u19865 = _u19869) )).
% 12.29/12.50 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19863), _u19865), hAPP(c_List_Oset(_u19863), c_List_Oreplicate(_u19863, _u19867, _u19869)))) | ( _u19867 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50 cnf(fact_in__set__replicate-3, axiom, ( ( _u19866 != _u19870) | ( _u19868 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19864), _u19866), hAPP(c_List_Oset(_u19864), c_List_Oreplicate(_u19864, _u19868, _u19870)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19871), c_List_Oreplicate(_u19871, _u19872, _u19873)), hAPP(hAPP(c_List_Olist_OCons(_u19871), _u19873), c_List_Olist_ONil(_u19871))) = hAPP(hAPP(c_List_Olist_OCons(_u19871), _u19873), c_List_Oreplicate(_u19871, _u19872, _u19873))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19874), hAPP(c_COMBK(_u19874, tc_Nat_Onat), _u19875)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19876)) = c_List_Oreplicate(_u19874, _u19876, _u19875)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__replicate-1, axiom, ( ( _u19877 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19878), c_List_Oreplicate(_u19878, _u19877, _u19879)) = hAPP(hAPP(c_Set_Oinsert(_u19878), _u19879), c_Orderings_Obot__class_Obot(tc_fun(_u19878, tc_HOL_Obool)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u19883 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19885), c_List_Oreplicate(_u19885, _u19883, _u19887)) = c_Orderings_Obot__class_Obot(tc_fun(_u19885, tc_HOL_Obool))) )).
% 12.29/12.50 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u19884 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19886), c_List_Oreplicate(_u19886, _u19884, _u19888)) = hAPP(hAPP(c_Set_Oinsert(_u19886), _u19888), c_Orderings_Obot__class_Obot(tc_fun(_u19886, tc_HOL_Obool)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u19889), c_List_Oreplicate(_u19889, hAPP(c_Nat_OSuc, _u19890), _u19891)) = hAPP(hAPP(c_Set_Oinsert(_u19889), _u19891), c_Orderings_Obot__class_Obot(tc_fun(_u19889, tc_HOL_Obool)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 12.29/12.50 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), _u19894), _u19895))) | hBOOL(hAPP(hAPP(_u19896, _u19894), _u19895)) | 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), skolem532(_u19896, _u19895, _u19894)), skolem533(_u19896, _u19895, _u19894)))) )).
% 12.29/12.50 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), _u19894), _u19895))) | hBOOL(hAPP(hAPP(_u19896, _u19894), _u19895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem532(_u19896, _u19895, _u19894)), skolem533(_u19896, _u19895, _u19894))) | hBOOL(hAPP(hAPP(_u19896, skolem532(_u19896, _u19895, _u19894)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem533(_u19896, _u19895, _u19894)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.50 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), _u19894), _u19895))) | hBOOL(hAPP(hAPP(_u19896, _u19894), _u19895)) | ~hBOOL(hAPP(hAPP(_u19896, skolem532(_u19896, _u19895, _u19894)), skolem533(_u19896, _u19895, _u19894))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u19897, _u19897, _u19897, c_fequal, c_Predicate_Opred__comp(_u19897, _u19897, _u19897, _u19898, c_fequal)) = _u19898) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u19900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19900), _u19901), _u19902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19900), c_Groups_Ozero__class_Ozero(_u19900)), skolem534(_u19902, _u19901, _u19900))) )).
% 12.29/12.50 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u19900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19900), _u19901), _u19902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19900), _u19901), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19900), _u19902), skolem534(_u19902, _u19901, _u19900)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19903)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19903, _u19904, _u19905)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19903)), _u19905)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact__01 ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19906, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19906, _u19907, _u19908), _u19909) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19906, _u19907, c_Lazy__Sequence_Oappend(_u19906, _u19908, _u19909))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19917, _u19919) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19921, _u19923)) | ( _u19917 = _u19921) )).
% 12.29/12.50 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19917, _u19919) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19921, _u19923)) | ( _u19919 = _u19923) )).
% 12.29/12.50 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u19918 != _u19922) | ( _u19920 != _u19924) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19916, _u19918, _u19920) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19916, _u19922, _u19924)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19925, _u19926), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19925, _u19927, _u19928)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19926, _u19927)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19925, _u19926), _u19928))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_size__code ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19929)), _u19930) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19929, tc_Lazy__Sequence_Olazy__sequence(_u19929)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19929, tc_Lazy__Sequence_Olazy__sequence(_u19929), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19929), tc_Nat_Onat), _u19929), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19929), 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(_u19929)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19929)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19929), _u19930))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19931, _u19932), _u19933) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19931, tc_Lazy__Sequence_Olazy__sequence(_u19931)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19931, tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19931, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), _u19931), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19931), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19931)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19931, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), _u19931), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19931))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19931), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19932))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19931, _u19932))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19931), _u19933))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19934, _u19935, _u19936, _u19937, _u19938) = c_Option_Ooption_Ooption__case(_u19934, tc_prod(_u19935, tc_Lazy__Sequence_Olazy__sequence(_u19935)), _u19936, hAPP(c_Product__Type_Oprod_Oprod__case(_u19935, tc_Lazy__Sequence_Olazy__sequence(_u19935), _u19934), _u19937), hAPP(c_Lazy__Sequence_Oyield(_u19935), _u19938))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u19939) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19939), _u19939, c_Lazy__Sequence_Oyield(_u19939))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19940, _u19941, _u19942, _u19943, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19941, _u19944, _u19945)) = hAPP(hAPP(_u19943, _u19944), _u19945)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u19949, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(_u19949, tc_HOL_Obool)), _u19948), _u19950), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(tc_prod(_u19949, _u19949), tc_HOL_Obool)), _u19948), _u19951)) | hBOOL(hAPP(hAPP(c_member(_u19947), skolem535(_u19951, _u19950, _u19949, _u19948, _u19947)), _u19948)) )).
% 12.29/12.50 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u19949, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(_u19949, tc_HOL_Obool)), _u19948), _u19950), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(tc_prod(_u19949, _u19949), tc_HOL_Obool)), _u19948), _u19951)) | ~c_Relation_Orefl__on(_u19949, hAPP(_u19950, skolem535(_u19951, _u19950, _u19949, _u19948, _u19947)), hAPP(_u19951, skolem535(_u19951, _u19950, _u19949, _u19948, _u19947))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19955), _u19957), hAPP(c_List_Oset(_u19955), _u19959))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19955), _u19959), _u19957)) )).
% 12.29/12.50 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19956), _u19960), _u19958)) | hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), _u19960))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19965), hAPP(hAPP(c_List_Olist_OCons(_u19965), _u19967), _u19969)), _u19971)) | ( _u19967 = _u19971) | hBOOL(hAPP(hAPP(c_List_Omember(_u19965), _u19969), _u19971)) )).
% 12.29/12.50 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19966), hAPP(hAPP(c_List_Olist_OCons(_u19966), _u19968), _u19970)), _u19972)) | ( _u19968 != _u19972) )).
% 12.29/12.50 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19966), hAPP(hAPP(c_List_Olist_OCons(_u19966), _u19968), _u19970)), _u19972)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19966), _u19970), _u19972)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_member__set ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u19973) = c_List_Oset(_u19973)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19974), c_List_Olist_ONil(_u19974)), _u19975)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19979), _u19981), _u19983)) | hBOOL(hAPP(hAPP(c_member(_u19979), _u19983), hAPP(c_List_Oset(_u19979), _u19981))) )).
% 12.29/12.50 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19980), _u19984), hAPP(c_List_Oset(_u19980), _u19982))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19980), _u19982), _u19984)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u19985, _u19986, _u19987, _u19988, c_Nitpick_Opair__box_OPairBox(_u19985, _u19986, _u19989, _u19990)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19987, _u19989)), hAPP(_u19988, _u19990))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u19998, _u20000, _u20002) | hBOOL(hAPP(hAPP(c_member(_u19998), skolem536(_u20002, _u20000, _u19998)), hAPP(c_List_Oset(_u19998), _u20002))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u19998, _u20000, _u20002) | hBOOL(hAPP(_u20000, skolem536(_u20002, _u20000, _u19998))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u19998, _u20000, _u20002) | ~hBOOL(hAPP(hAPP(c_member(_u19998), _u19991), hAPP(c_List_Oset(_u19998), _u20002))) | ~hBOOL(hAPP(_u20000, _u19991)) | ( _u19991 = skolem536(_u20002, _u20000, _u19998)) )).
% 12.29/12.50 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u19999, _u20001, _u20003) | ~hBOOL(hAPP(hAPP(c_member(_u19999), _u19994), hAPP(c_List_Oset(_u19999), _u20003))) | ~hBOOL(hAPP(_u20001, _u19994)) | hBOOL(hAPP(hAPP(c_member(_u19999), skolem537(_u20003, _u20001, _u19999, _u19994)), hAPP(c_List_Oset(_u19999), _u20003))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u19999, _u20001, _u20003) | ~hBOOL(hAPP(hAPP(c_member(_u19999), _u19994), hAPP(c_List_Oset(_u19999), _u20003))) | ~hBOOL(hAPP(_u20001, _u19994)) | hBOOL(hAPP(_u20001, skolem537(_u20003, _u20001, _u19999, _u19994))) )).
% 12.29/12.50 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u19999, _u20001, _u20003) | ~hBOOL(hAPP(hAPP(c_member(_u19999), _u19994), hAPP(c_List_Oset(_u19999), _u20003))) | ~hBOOL(hAPP(_u20001, _u19994)) | ( skolem537(_u20003, _u20001, _u19999, _u19994) != _u19994) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20014, _u20016) != c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20018, _u20020)) | ( _u20014 = _u20018) )).
% 12.29/12.50 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20014, _u20016) != c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20018, _u20020)) | ( _u20016 = _u20020) )).
% 12.29/12.50 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u20015 != _u20019) | ( _u20017 != _u20021) | ( c_Nitpick_Opair__box_OPairBox(_u20011, _u20013, _u20015, _u20017) = c_Nitpick_Opair__box_OPairBox(_u20011, _u20013, _u20019, _u20021)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u20022, _u20023)), c_Nitpick_Opair__box_OPairBox(_u20022, _u20023, _u20024, _u20025)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u20026, _u20027, _u20028, _u20029, c_Nitpick_Opair__box_OPairBox(_u20026, _u20027, _u20030, _u20031)) = hAPP(hAPP(_u20029, _u20030), _u20031)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u20032, _u20033, _u20034, _u20035, c_Nitpick_Opair__box_OPairBox(_u20032, _u20033, _u20036, _u20037)) = hAPP(hAPP(_u20035, _u20036), _u20037)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u20047, _u20049, _u20045) = c_HOL_OThe(_u20047, _u20045)) | ~hBOOL(hAPP(_u20045, _u20039)) | hBOOL(hAPP(_u20045, skolem538(_u20049, _u20047, _u20045, _u20039))) )).
% 12.29/12.50 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u20047, _u20049, _u20045) = c_HOL_OThe(_u20047, _u20045)) | ~hBOOL(hAPP(_u20045, _u20039)) | ( skolem538(_u20049, _u20047, _u20045, _u20039) != _u20039) )).
% 12.29/12.50 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u20048, _u20050, _u20046) = _u20050) | hBOOL(hAPP(_u20046, skolem539(_u20050, _u20048, _u20046))) )).
% 12.29/12.50 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u20048, _u20050, _u20046) = _u20050) | ~hBOOL(hAPP(_u20046, _u20040)) | ( _u20040 = skolem539(_u20050, _u20048, _u20046)) )).
% 12.29/12.50
% 12.29/12.50 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 12.29/12.50 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem541(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.50 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem542(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.50 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( skolem541(_u20058, _u20057, _u20056, _u20055) != skolem542(_u20058, _u20057, _u20056, _u20055)) )).
% 12.29/12.50 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem541(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem542(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( hAPP(_u20058, skolem543(_u20058, _u20057, _u20056, _u20055)) != c_Groups_Ozero__class_Ozero(_u20055)) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem541(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem542(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( skolem541(_u20058, _u20057, _u20056, _u20055) != skolem542(_u20058, _u20057, _u20056, _u20055)) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem541(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem542(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.51 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( hAPP(_u20058, skolem543(_u20058, _u20057, _u20056, _u20055)) != c_Groups_Ozero__class_Ozero(_u20055)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20061)), _u20062)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20061)), _u20059), _u20062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20061)), _u20059)), skolem544(_u20062, _u20061))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20063)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20063)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20064) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20064, _u20065, _u20066)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20068, _u20069) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20067)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact__02 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20070, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20070), _u20071) = _u20071) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20072, _u20073, _u20074, _u20075, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20073)) = _u20074) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20076, _u20077), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20076)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u20081, c_List_Oupto(_u20083, _u20085)) | c_List_Oall__interval__int(_u20081, _u20083, _u20085) )).
% 12.29/12.51 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u20082, _u20084, _u20086) | c_List_Olist__all(tc_Int_Oint, _u20082, c_List_Oupto(_u20084, _u20086)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u20090, c_List_Oupto(_u20092, _u20094)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20090), _u20092, _u20094) )).
% 12.29/12.51 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), _u20091), _u20093, _u20095) | c_List_Olist__ex(tc_Int_Oint, _u20091, c_List_Oupto(_u20093, _u20095)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u20101, _u20103, _u20105) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20096), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20103, _u20105))) | hBOOL(hAPP(_u20101, _u20096)) )).
% 12.29/12.51 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u20102, _u20104, _u20106) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem545(_u20106, _u20104, _u20102)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20104, _u20106))) )).
% 12.29/12.51 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u20102, _u20104, _u20106) | ~hBOOL(hAPP(_u20102, skolem545(_u20106, _u20104, _u20102))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20107, _u20108, _u20109, c_Code__Numeral_OSuc__code__numeral(_u20110)) = hAPP(hAPP(_u20109, _u20110), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20107, _u20108, _u20109, _u20110))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20115), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20117, _u20119, _u20115, _u20121) = 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(_u20117)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20117))) )).
% 12.29/12.51 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20116), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20118, _u20120, _u20116, _u20122) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20118, 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20120, _u20122)), 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(_u20118)))), 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(_u20118)))), 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20118, 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(_u20118)))), 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20118, _u20120, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20116), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20122))), 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(_u20118)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20118, 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(_u20118)))), 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(_u20118)))), 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(_u20118))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), 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(_u20118)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118))))), tc_prod(_u20118, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20118)), hAPP(hAPP(c_COMBB(_u20118, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), tc_prod(_u20118, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20118)), c_Product__Type_Ofst(_u20118, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20123, _u20124, _u20125, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u20124) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u20126, _u20127, _u20128) = 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(_u20126)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20126))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20129), _u20130), _u20131), _u20132) = 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(_u20129)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20129), _u20130))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u20133, _u20134, _u20135, _u20136) = c_Random__Sequence_Obind(_u20133, _u20134, _u20136, hAPP(c_Fun_Ocomp(_u20134, 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(_u20134)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20133, c_Random__Sequence_Osingle(_u20134)), _u20135))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20139, hAPP(c_Product__Type_Osnd(_u20140, _u20141), _u20142)), hAPP(c_Product__Type_Ofst(_u20140, _u20141), _u20142))) | hBOOL(hAPP(_u20143, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20140, _u20141, _u20145), _u20144), _u20142))) | hBOOL(hAPP(hAPP(_u20139, skolem547(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139)), skolem546(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139))) )).
% 12.29/12.51 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20139, hAPP(c_Product__Type_Osnd(_u20140, _u20141), _u20142)), hAPP(c_Product__Type_Ofst(_u20140, _u20141), _u20142))) | hBOOL(hAPP(_u20143, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20140, _u20141, _u20145), _u20144), _u20142))) | ~hBOOL(hAPP(_u20143, hAPP(hAPP(_u20144, skolem546(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139)), skolem547(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u20146, _u20147, hAPP(c_Set_OCollect(tc_prod(_u20146, _u20147)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20146, _u20147, tc_HOL_Obool), _u20148))), _u20149) = hAPP(c_Set_OCollect(_u20147), hAPP(hAPP(c_COMBB(tc_fun(_u20146, tc_HOL_Obool), tc_HOL_Obool, _u20147), c_HOL_OEx(_u20146)), hAPP(hAPP(c_COMBB(tc_fun(_u20146, tc_HOL_Obool), tc_fun(_u20146, tc_HOL_Obool), _u20147), hAPP(c_COMBS(_u20146, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20146), c_fconj), hAPP(hAPP(c_COMBC(_u20146, tc_fun(_u20146, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20146)), _u20149)))), hAPP(c_COMBC(_u20146, _u20147, tc_HOL_Obool), _u20148))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20150), tc_List_Olist(_u20150))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20150), tc_List_Olist(_u20150)), _u20151), _u20152)), c_List_Olexord(_u20150, _u20153))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20150), tc_List_Olist(_u20150))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20150), tc_List_Olist(_u20150)), _u20152), _u20154)), c_List_Olexord(_u20150, _u20153))) | ~c_Relation_Otrans(_u20150, _u20153) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20150), tc_List_Olist(_u20150))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20150), tc_List_Olist(_u20150)), _u20151), _u20154)), c_List_Olexord(_u20150, _u20153))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u20155, _u20156) | ~c_Relation_Otrans(_u20157, _u20158) | c_Relation_Otrans(tc_prod(_u20155, _u20157), c_Wellfounded_Olex__prod(_u20155, _u20157, _u20156, _u20158)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_transD ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u20159, _u20160) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20159, _u20159)), hAPP(hAPP(c_Product__Type_OPair(_u20159, _u20159), _u20161), _u20162)), _u20160)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20159, _u20159)), hAPP(hAPP(c_Product__Type_OPair(_u20159, _u20159), _u20162), _u20163)), _u20160)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20159, _u20159)), hAPP(hAPP(c_Product__Type_OPair(_u20159, _u20159), _u20161), _u20163)), _u20160)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u20172, _u20174) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20172, _u20172)), hAPP(hAPP(c_Product__Type_OPair(_u20172, _u20172), _u20166), _u20165)), _u20174)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20172, _u20172)), hAPP(hAPP(c_Product__Type_OPair(_u20172, _u20172), _u20165), _u20164)), _u20174)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20172, _u20172)), hAPP(hAPP(c_Product__Type_OPair(_u20172, _u20172), _u20166), _u20164)), _u20174)) )).
% 12.29/12.51 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u20173, _u20175) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20173, _u20173)), hAPP(hAPP(c_Product__Type_OPair(_u20173, _u20173), skolem548(_u20175, _u20173)), skolem549(_u20175, _u20173))), _u20175)) )).
% 12.29/12.51 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u20173, _u20175) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20173, _u20173)), hAPP(hAPP(c_Product__Type_OPair(_u20173, _u20173), skolem549(_u20175, _u20173)), skolem550(_u20175, _u20173))), _u20175)) )).
% 12.29/12.51 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u20173, _u20175) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20173, _u20173)), hAPP(hAPP(c_Product__Type_OPair(_u20173, _u20173), skolem548(_u20175, _u20173)), skolem550(_u20175, _u20173))), _u20175)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20176, tc_fun(_u20177, tc_HOL_Obool)), _u20178), _u20179) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20177, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20177, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20176, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20177, tc_HOL_Obool)), c_HOL_OEx(_u20176)), hAPP(hAPP(c_COMBB(tc_fun(_u20176, tc_HOL_Obool), tc_fun(_u20176, tc_HOL_Obool), tc_fun(_u20177, tc_HOL_Obool)), hAPP(c_COMBS(_u20176, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20176), c_fconj), hAPP(hAPP(c_COMBC(_u20176, tc_fun(_u20176, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20176)), _u20178)))), hAPP(hAPP(c_COMBC(tc_fun(_u20177, tc_HOL_Obool), tc_fun(_u20176, tc_fun(_u20177, tc_HOL_Obool)), tc_fun(_u20176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20177, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20176, tc_fun(_u20177, tc_HOL_Obool)), tc_fun(_u20176, tc_HOL_Obool)), tc_fun(_u20177, tc_HOL_Obool)), c_COMBB(tc_fun(_u20177, tc_HOL_Obool), tc_HOL_Obool, _u20176)), c_fequal)), _u20179)))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20180, tc_HOL_Obool), _u20181) = hAPP(c_Set_OCollect(_u20180), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u20180), c_HOL_OEx(tc_fun(_u20180, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), _u20180), hAPP(c_COMBS(tc_fun(_u20180, 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(_u20180, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20180, tc_HOL_Obool), tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20180, tc_HOL_Obool))), _u20181)))), c_member(_u20180))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u20182, _u20183) | c_Relation_Otrans(_u20184, hAPP(hAPP(c_Relation_Oinv__image(_u20182, _u20184), _u20183), _u20185)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u20186, _u20187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20186, _u20186), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20186, _u20186, _u20186), _u20187), _u20187)), _u20187)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20188, tc_HOL_Obool) = c_Set_OBex(_u20188)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u20189, _u20190) | ~c_Relation_Otrans(_u20189, _u20191) | c_Relation_Otrans(_u20189, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20189, _u20189), tc_HOL_Obool)), _u20190), _u20191)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u20200, skolem551(_u20200))) | ~hBOOL(hAPP(hAPP(c_member(_u20198), _u20192), c_Orderings_Otop__class_Otop(tc_fun(_u20198, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20200, _u20192)) )).
% 12.29/12.51 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(hAPP(c_member(_u20199), skolem552(_u20201, _u20199)), c_Orderings_Otop__class_Otop(tc_fun(_u20199, tc_HOL_Obool)))) )).
% 12.29/12.51 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(_u20201, skolem552(_u20201, _u20199))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u20202, c_Transitive__Closure_Ortrancl(_u20202, _u20203)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u20204, _u20205) | c_Relation_Otrans(tc_List_Olist(_u20204), c_List_Olexord(_u20204, _u20205)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u20206, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u20206)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u20207, c_Relation_OId__on(_u20207, _u20208)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u20209, _u20210) | ( c_Transitive__Closure_Otrancl(_u20209, _u20210) = _u20210) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u20211, c_Transitive__Closure_Otrancl(_u20211, _u20212)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u20213, c_Relation_OId(_u20213)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u20216, hAPP(c_Relation_Oconverse(_u20216, _u20216), _u20218)) | c_Relation_Otrans(_u20216, _u20218) )).
% 12.29/12.51 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u20217, _u20219) | c_Relation_Otrans(_u20217, hAPP(c_Relation_Oconverse(_u20217, _u20217), _u20219)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u20220, _u20221) | c_Relation_Otrans(tc_List_Olist(_u20220), c_List_Olistrel(_u20220, _u20221)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20223), _u20222), c_Orderings_Obot__class_Obot(tc_fun(_u20223, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20224, _u20222)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20228)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool, _u20229), c_HOL_OEx(_u20227)), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_fun(_u20227, tc_HOL_Obool), _u20229), hAPP(c_COMBS(_u20227, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20227), c_fconj), hAPP(hAPP(c_COMBC(_u20227, tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20227)), _u20228)))), _u20230))))) | ~hBOOL(hAPP(hAPP(c_member(_u20227), _u20225), _u20228)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBC(_u20229, _u20227, tc_HOL_Obool), _u20230), _u20225)))) )).
% 12.29/12.51 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20228)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool, _u20229), c_HOL_OEx(_u20227)), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_fun(_u20227, tc_HOL_Obool), _u20229), hAPP(c_COMBS(_u20227, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20227), c_fconj), hAPP(hAPP(c_COMBC(_u20227, tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20227)), _u20228)))), _u20230))))) | hBOOL(hAPP(hAPP(c_member(_u20227), skolem553(_u20230, _u20229, _u20228, _u20227)), _u20228)) )).
% 12.29/12.51 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20228)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool, _u20229), c_HOL_OEx(_u20227)), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_fun(_u20227, tc_HOL_Obool), _u20229), hAPP(c_COMBS(_u20227, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20227), c_fconj), hAPP(hAPP(c_COMBC(_u20227, tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20227)), _u20228)))), _u20230))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBC(_u20229, _u20227, tc_HOL_Obool), _u20230), skolem553(_u20230, _u20229, _u20228, _u20227))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u20231, _u20232) | c_Relation_Otrans(_u20231, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20231, _u20231), tc_HOL_Obool)), _u20232), c_Relation_OId(_u20231))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u20238, _u20240, _u20242) | hBOOL(hAPP(hAPP(c_member(_u20238), skolem554(_u20242, _u20240, _u20238)), hAPP(c_List_Oset(_u20238), _u20242))) )).
% 12.29/12.51 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u20238, _u20240, _u20242) | hBOOL(hAPP(_u20240, skolem554(_u20242, _u20240, _u20238))) )).
% 12.29/12.51 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20239), _u20234), hAPP(c_List_Oset(_u20239), _u20243))) | ~hBOOL(hAPP(_u20241, _u20234)) | c_List_Olist__ex(_u20239, _u20241, _u20243) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20249), _u20244), hAPP(c_List_Oset(_u20249), _u20251))) | ~hBOOL(hAPP(_u20253, _u20244)) | c_List_Olist__ex(_u20249, _u20253, _u20251) )).
% 12.29/12.51 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u20250, _u20254, _u20252) | hBOOL(hAPP(hAPP(c_member(_u20250), skolem555(_u20254, _u20252, _u20250)), hAPP(c_List_Oset(_u20250), _u20252))) )).
% 12.29/12.51 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u20250, _u20254, _u20252) | hBOOL(hAPP(_u20254, skolem555(_u20254, _u20252, _u20250))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20255, tc_fun(_u20256, tc_HOL_Obool)), _u20257), _u20258) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20256, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20256, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20255, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20256, tc_HOL_Obool)), c_HOL_OEx(_u20255)), hAPP(hAPP(c_COMBB(tc_fun(_u20255, tc_HOL_Obool), tc_fun(_u20255, tc_HOL_Obool), tc_fun(_u20256, tc_HOL_Obool)), hAPP(c_COMBS(_u20255, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20255), c_fconj), hAPP(hAPP(c_COMBC(_u20255, tc_fun(_u20255, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20255)), _u20257)))), hAPP(hAPP(c_COMBC(tc_fun(_u20256, tc_HOL_Obool), tc_fun(_u20255, tc_fun(_u20256, tc_HOL_Obool)), tc_fun(_u20255, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20256, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20255, tc_fun(_u20256, tc_HOL_Obool)), tc_fun(_u20255, tc_HOL_Obool)), tc_fun(_u20256, tc_HOL_Obool)), c_COMBB(tc_fun(_u20256, tc_HOL_Obool), tc_HOL_Obool, _u20255)), c_fequal)), _u20258)))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20259) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20260, _u20259), _u20261), _u20262) = c_Complete__Lattice_OSup__class_OSup(_u20259, hAPP(c_Set_OCollect(_u20259), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), tc_HOL_Obool, _u20259), c_HOL_OEx(tc_fun(_u20260, _u20259))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), _u20259), hAPP(c_COMBS(tc_fun(_u20260, _u20259), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20260, _u20259)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20260, _u20259), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20260, _u20259))), _u20261)))), hAPP(hAPP(c_COMBC(_u20259, tc_fun(tc_fun(_u20260, _u20259), _u20259), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20259, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20260, _u20259), _u20259), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool)), _u20259), c_COMBB(_u20259, tc_HOL_Obool, tc_fun(_u20260, _u20259))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20260, _u20259), _u20260, _u20259), c_COMBI(tc_fun(_u20260, _u20259))), _u20262))))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20263) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20264, _u20263), _u20265), _u20266) = c_Complete__Lattice_OSup__class_OSup(_u20263, hAPP(c_Set_OCollect(_u20263), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), tc_HOL_Obool, _u20263), c_HOL_OEx(tc_fun(_u20264, _u20263))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), _u20263), hAPP(c_COMBS(tc_fun(_u20264, _u20263), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20264, _u20263)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20264, _u20263), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20264, _u20263))), _u20265)))), hAPP(hAPP(c_COMBC(_u20263, tc_fun(tc_fun(_u20264, _u20263), _u20263), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20263, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20264, _u20263), _u20263), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool)), _u20263), c_COMBB(_u20263, tc_HOL_Obool, tc_fun(_u20264, _u20263))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20264, _u20263), _u20264, _u20263), c_COMBI(tc_fun(_u20264, _u20263))), _u20266))))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20267) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20268, _u20267), _u20269), _u20270) = c_Complete__Lattice_OInf__class_OInf(_u20267, hAPP(c_Set_OCollect(_u20267), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), tc_HOL_Obool, _u20267), c_HOL_OEx(tc_fun(_u20268, _u20267))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), _u20267), hAPP(c_COMBS(tc_fun(_u20268, _u20267), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20268, _u20267)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20268, _u20267), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20268, _u20267))), _u20269)))), hAPP(hAPP(c_COMBC(_u20267, tc_fun(tc_fun(_u20268, _u20267), _u20267), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20267, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20268, _u20267), _u20267), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool)), _u20267), c_COMBB(_u20267, tc_HOL_Obool, tc_fun(_u20268, _u20267))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20268, _u20267), _u20268, _u20267), c_COMBI(tc_fun(_u20268, _u20267))), _u20270))))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20271) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20272, _u20271), _u20273), _u20274) = c_Complete__Lattice_OInf__class_OInf(_u20271, hAPP(c_Set_OCollect(_u20271), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), tc_HOL_Obool, _u20271), c_HOL_OEx(tc_fun(_u20272, _u20271))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), _u20271), hAPP(c_COMBS(tc_fun(_u20272, _u20271), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20272, _u20271)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20272, _u20271), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20272, _u20271))), _u20273)))), hAPP(hAPP(c_COMBC(_u20271, tc_fun(tc_fun(_u20272, _u20271), _u20271), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20271, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20272, _u20271), _u20271), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool)), _u20271), c_COMBB(_u20271, tc_HOL_Obool, tc_fun(_u20272, _u20271))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20272, _u20271), _u20272, _u20271), c_COMBI(tc_fun(_u20272, _u20271))), _u20274))))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20278)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20279)) | ( _u20279 = c_Orderings_Obot__class_Obot(tc_fun(_u20277, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20277, _u20280, _u20278, _u20279) | hBOOL(hAPP(hAPP(c_member(_u20277), skolem556(_u20280, _u20279, _u20278, _u20277)), _u20278)) )).
% 12.29/12.51 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20278)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20279)) | ( _u20279 = c_Orderings_Obot__class_Obot(tc_fun(_u20277, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20277, _u20280, _u20278, _u20279) | ~hBOOL(hAPP(hAPP(c_member(_u20277), _u20275), _u20279)) | ~hBOOL(hAPP(hAPP(_u20280, skolem556(_u20280, _u20279, _u20278, _u20277)), _u20275)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u20283, _u20285) | c_Relation_Otrans(_u20283, hAPP(c_Set_OCollect(tc_prod(_u20283, _u20283)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20283, _u20283, tc_HOL_Obool), _u20285))) )).
% 12.29/12.51 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u20284, hAPP(c_Set_OCollect(tc_prod(_u20284, _u20284)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20284, _u20284, tc_HOL_Obool), _u20286))) | c_Predicate_Otransp(_u20284, _u20286) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_transpE ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20288, _u20289), _u20290)) | ~hBOOL(hAPP(hAPP(_u20288, _u20290), _u20291)) | hBOOL(hAPP(hAPP(_u20288, _u20289), _u20291)) | ~c_Predicate_Otransp(_u20287, _u20288) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20292, _u20293) | c_Predicate_Oreflp(_u20292, _u20293) )).
% 12.29/12.51 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20292, _u20293) | c_Predicate_Osymp(_u20292, _u20293) )).
% 12.29/12.51 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20292, _u20293) | c_Predicate_Otransp(_u20292, _u20293) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u20294, _u20295) | ~c_Predicate_Osymp(_u20294, _u20295) | ~c_Predicate_Otransp(_u20294, _u20295) | c_Equiv__Relations_Oequivp(_u20294, _u20295) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sympE ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20297, _u20298), _u20299)) | hBOOL(hAPP(hAPP(_u20297, _u20299), _u20298)) | ~c_Predicate_Osymp(_u20296, _u20297) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20302, _u20304) | c_Predicate_Oreflp(_u20302, _u20304) )).
% 12.29/12.51 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20302, _u20304) | c_Predicate_Osymp(_u20302, _u20304) )).
% 12.29/12.51 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20302, _u20304) | c_Predicate_Otransp(_u20302, _u20304) )).
% 12.29/12.51 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u20303, _u20305) | ~c_Predicate_Osymp(_u20303, _u20305) | ~c_Predicate_Otransp(_u20303, _u20305) | c_Equiv__Relations_Oequivp(_u20303, _u20305) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20314), _u20318)) )).
% 12.29/12.51 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20314), _u20320)) )).
% 12.29/12.51 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | ( _u20320 != c_Orderings_Obot__class_Obot(tc_fun(_u20314, tc_HOL_Obool))) )).
% 12.29/12.51 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | ~hBOOL(hAPP(hAPP(c_member(_u20314), _u20307), _u20318)) | hBOOL(hAPP(hAPP(c_member(_u20314), skolem557(_u20320, _u20318, _u20316, _u20314, _u20307)), _u20320)) )).
% 12.29/12.51 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | ~hBOOL(hAPP(hAPP(c_member(_u20314), _u20307), _u20318)) | hBOOL(hAPP(hAPP(_u20316, _u20307), skolem557(_u20320, _u20318, _u20316, _u20314, _u20307))) )).
% 12.29/12.51 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u20315, _u20317, _u20319, _u20321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20319)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20321)) | ( _u20321 = c_Orderings_Obot__class_Obot(tc_fun(_u20315, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u20315), skolem558(_u20321, _u20319, _u20317, _u20315)), _u20319)) )).
% 12.29/12.51 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u20315, _u20317, _u20319, _u20321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20319)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20321)) | ( _u20321 = c_Orderings_Obot__class_Obot(tc_fun(_u20315, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u20315), _u20308), _u20321)) | ~hBOOL(hAPP(hAPP(_u20317, skolem558(_u20321, _u20319, _u20317, _u20315)), _u20308)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u20322, _u20323) | ~c_Relation_Oantisym(_u20322, _u20323) | c_Relation_Otrans(_u20322, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20322, _u20322), tc_HOL_Obool)), _u20323), c_Relation_OId(_u20322))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u20324, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u20324, _u20324), tc_HOL_Obool))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u20327, hAPP(c_Relation_Oconverse(_u20327, _u20327), _u20329)) | c_Relation_Oantisym(_u20327, _u20329) )).
% 12.29/12.51 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u20328, _u20330) | c_Relation_Oantisym(_u20328, hAPP(c_Relation_Oconverse(_u20328, _u20328), _u20330)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u20331, c_Relation_OId(_u20331)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u20332, c_Relation_OId__on(_u20332, _u20333)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20334, _u20334), tc_HOL_Obool)), _u20335), _u20336)) | ~c_Relation_Oantisym(_u20334, _u20336) | c_Relation_Oantisym(_u20334, _u20335) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u20343, _u20345) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20343, _u20343)), hAPP(hAPP(c_Product__Type_OPair(_u20343, _u20343), _u20338), _u20337)), _u20345)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20343, _u20343)), hAPP(hAPP(c_Product__Type_OPair(_u20343, _u20343), _u20337), _u20338)), _u20345)) | ( _u20338 = _u20337) )).
% 12.29/12.51 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u20344, _u20346) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), skolem559(_u20346, _u20344)), skolem560(_u20346, _u20344))), _u20346)) )).
% 12.29/12.51 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u20344, _u20346) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), skolem560(_u20346, _u20344)), skolem559(_u20346, _u20344))), _u20346)) )).
% 12.29/12.51 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u20344, _u20346) | ( skolem559(_u20346, _u20344) != skolem560(_u20346, _u20344)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u20347, _u20348) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20347, _u20347)), hAPP(hAPP(c_Product__Type_OPair(_u20347, _u20347), _u20349), _u20350)), _u20348)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20347, _u20347)), hAPP(hAPP(c_Product__Type_OPair(_u20347, _u20347), _u20350), _u20349)), _u20348)) | ( _u20349 = _u20350) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u20353, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20353, _u20353), tc_HOL_Obool)), _u20355), c_Relation_OId(_u20353))) | c_Relation_Oantisym(_u20353, _u20355) )).
% 12.29/12.51 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u20354, _u20356) | c_Relation_Oantisym(_u20354, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20354, _u20354), tc_HOL_Obool)), _u20356), c_Relation_OId(_u20354))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u20357, _u20358) | c_Relation_Oantisym(_u20357, c_Transitive__Closure_Ortrancl(_u20357, _u20358)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u20359, _u20360, _u20361, _u20362, _u20363, _u20364) = hAPP(_u20362, hAPP(c_Set_OCollect(_u20359), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), tc_HOL_Obool, _u20359), c_HOL_OEx(tc_fun(_u20361, _u20359))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), _u20359), hAPP(c_COMBS(tc_fun(_u20361, _u20359), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20361, _u20359)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20361, _u20359), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20361, _u20359))), _u20363)))), hAPP(hAPP(c_COMBC(_u20359, tc_fun(tc_fun(_u20361, _u20359), _u20359), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20359, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20361, _u20359), _u20359), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool)), _u20359), c_COMBB(_u20359, tc_HOL_Obool, tc_fun(_u20361, _u20359))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20361, _u20359), _u20361, _u20359), c_COMBI(tc_fun(_u20361, _u20359))), _u20364))))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u20365, _u20366) | ~c_Relation_Otrans(_u20365, _u20366) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20365, _u20365), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20365, _u20365, _u20365), hAPP(c_Relation_Oconverse(_u20365, _u20365), _u20366)), _u20366)), _u20366)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_symD ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u20367, _u20368) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20367, _u20367)), hAPP(hAPP(c_Product__Type_OPair(_u20367, _u20367), _u20369), _u20370)), _u20368)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20367, _u20367)), hAPP(hAPP(c_Product__Type_OPair(_u20367, _u20367), _u20370), _u20369)), _u20368)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u20377, _u20379) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20377, _u20377)), hAPP(hAPP(c_Product__Type_OPair(_u20377, _u20377), _u20372), _u20371)), _u20379)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20377, _u20377)), hAPP(hAPP(c_Product__Type_OPair(_u20377, _u20377), _u20371), _u20372)), _u20379)) )).
% 12.29/12.51 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u20378, _u20380) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20378, _u20378)), hAPP(hAPP(c_Product__Type_OPair(_u20378, _u20378), skolem561(_u20380, _u20378)), skolem562(_u20380, _u20378))), _u20380)) )).
% 12.29/12.51 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u20378, _u20380) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20378, _u20378)), hAPP(hAPP(c_Product__Type_OPair(_u20378, _u20378), skolem562(_u20380, _u20378)), skolem561(_u20380, _u20378))), _u20380)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u20381, _u20382) | c_Relation_Osym(_u20383, hAPP(hAPP(c_Relation_Oinv__image(_u20381, _u20383), _u20382), _u20384)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u20385, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20385, _u20385), tc_HOL_Obool)), _u20386), hAPP(c_Relation_Oconverse(_u20385, _u20385), _u20386))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u20387, _u20388) | ~c_Relation_Osym(_u20387, _u20389) | c_Relation_Osym(_u20387, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20387, _u20387), tc_HOL_Obool)), _u20388), _u20389)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u20390, _u20391) | c_Relation_Osym(_u20390, c_Transitive__Closure_Ortrancl(_u20390, _u20391)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u20392, c_Relation_OId__on(_u20392, _u20393)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u20394, _u20395) | c_Relation_Osym(_u20394, c_Transitive__Closure_Otrancl(_u20394, _u20395)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u20396, _u20397) | ~c_Relation_Osym(_u20396, _u20398) | c_Relation_Osym(_u20396, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20396, _u20396), tc_HOL_Obool)), _u20397), _u20398)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u20399, c_Relation_OId(_u20399)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u20402, _u20404) | ( hAPP(c_Relation_Oconverse(_u20402, _u20402), _u20404) = _u20404) )).
% 12.29/12.51 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u20403, _u20403), _u20405) != _u20405) | c_Relation_Osym(_u20403, _u20405) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u20408, hAPP(c_Relation_Oconverse(_u20408, _u20408), _u20410)) | c_Relation_Osym(_u20408, _u20410) )).
% 12.29/12.51 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u20409, _u20411) | c_Relation_Osym(_u20409, hAPP(c_Relation_Oconverse(_u20409, _u20409), _u20411)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u20412, _u20413) | c_Relation_Osym(tc_List_Olist(_u20412), c_List_Olistrel(_u20412, _u20413)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u20414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20414, _u20414), tc_HOL_Obool)), _u20415), hAPP(c_Relation_Oconverse(_u20414, _u20414), _u20415))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20419, _u20421, _u20423) | c_Relation_Orefl__on(_u20419, _u20421, _u20423) )).
% 12.29/12.51 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20419, _u20421, _u20423) | c_Relation_Osym(_u20419, _u20423) )).
% 12.29/12.51 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20419, _u20421, _u20423) | c_Relation_Otrans(_u20419, _u20423) )).
% 12.29/12.51 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u20420, _u20422, _u20424) | ~c_Relation_Osym(_u20420, _u20424) | ~c_Relation_Otrans(_u20420, _u20424) | c_Equiv__Relations_Oequiv(_u20420, _u20422, _u20424) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equivI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u20425, _u20426, _u20427) | ~c_Relation_Osym(_u20425, _u20427) | ~c_Relation_Otrans(_u20425, _u20427) | c_Equiv__Relations_Oequiv(_u20425, _u20426, _u20427) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equivE ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20428, _u20429, _u20430) | c_Relation_Orefl__on(_u20428, _u20429, _u20430) )).
% 12.29/12.51 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20428, _u20429, _u20430) | c_Relation_Osym(_u20428, _u20430) )).
% 12.29/12.51 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20428, _u20429, _u20430) | c_Relation_Otrans(_u20428, _u20430) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u20433, _u20435) | c_Relation_Osym(_u20433, hAPP(c_Set_OCollect(tc_prod(_u20433, _u20433)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20433, _u20433, tc_HOL_Obool), _u20435))) )).
% 12.29/12.51 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u20434, hAPP(c_Set_OCollect(tc_prod(_u20434, _u20434)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20434, _u20434, tc_HOL_Obool), _u20436))) | c_Predicate_Osymp(_u20434, _u20436) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20438, _u20437), _u20437)) | ~c_Predicate_Osymp(_u20439, _u20438) | ~c_Predicate_Otransp(_u20439, _u20438) | c_Equiv__Relations_Opart__equivp(_u20439, _u20438) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20444, _u20446) | hBOOL(hAPP(hAPP(_u20446, skolem563(_u20446, _u20444)), skolem563(_u20446, _u20444))) )).
% 12.29/12.51 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20444, _u20446) | c_Predicate_Osymp(_u20444, _u20446) )).
% 12.29/12.51 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20444, _u20446) | c_Predicate_Otransp(_u20444, _u20446) )).
% 12.29/12.51 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u20447, _u20441), _u20441)) | ~c_Predicate_Osymp(_u20445, _u20447) | ~c_Predicate_Otransp(_u20445, _u20447) | c_Equiv__Relations_Opart__equivp(_u20445, _u20447) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20449, _u20450), _u20451)) | ~hBOOL(hAPP(hAPP(_u20449, _u20451), _u20452)) | hBOOL(hAPP(hAPP(_u20449, _u20450), _u20452)) | ~c_Equiv__Relations_Opart__equivp(_u20448, _u20449) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20454, _u20455), _u20456)) | hBOOL(hAPP(hAPP(_u20454, _u20456), _u20455)) | ~c_Equiv__Relations_Opart__equivp(_u20453, _u20454) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | hBOOL(hAPP(hAPP(_u20475, skolem564(_u20475)), skolem564(_u20475))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20467), _u20465)) | hBOOL(hAPP(hAPP(_u20475, _u20467), _u20467)) )).
% 12.29/12.51 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20467), _u20465)) | hBOOL(hAPP(hAPP(_u20475, _u20465), _u20465)) )).
% 12.29/12.51 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20467), _u20465)) | ( hAPP(_u20475, _u20467) = hAPP(_u20475, _u20465)) )).
% 12.29/12.51 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20468), _u20468)) | ~hBOOL(hAPP(hAPP(_u20475, _u20466), _u20466)) | ( hAPP(_u20475, _u20468) != hAPP(_u20475, _u20466)) | hBOOL(hAPP(hAPP(_u20475, _u20468), _u20466)) )).
% 12.29/12.51 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem567(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem568(_u20476)), skolem568(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem567(_u20476)) = hAPP(_u20476, skolem568(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem568(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem567(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem568(_u20476)), skolem568(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | ( hAPP(_u20476, skolem567(_u20476)) = hAPP(_u20476, skolem568(_u20476))) )).
% 12.29/12.51 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem568(_u20476))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20477, _u20478) | c_Equiv__Relations_Opart__equivp(_u20477, _u20478) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20480, _u20481) | hBOOL(hAPP(hAPP(_u20481, skolem569(_u20481, _u20480)), skolem569(_u20481, _u20480))) )).
% 12.29/12.51 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20480, _u20481) | c_Predicate_Osymp(_u20480, _u20481) )).
% 12.29/12.51 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20480, _u20481) | c_Predicate_Otransp(_u20480, _u20481) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20483, _u20484) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20483, tc_HOL_Obool)), skolem570(_u20484, _u20483)), hAPP(hAPP(c_COMBB(tc_fun(_u20483, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20483, tc_HOL_Obool)), c_HOL_OEx(_u20483)), hAPP(hAPP(c_COMBB(tc_fun(_u20483, tc_HOL_Obool), tc_fun(_u20483, tc_HOL_Obool), tc_fun(_u20483, tc_HOL_Obool)), hAPP(c_COMBS(_u20483, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20483), c_fconj), hAPP(hAPP(c_COMBS(_u20483, _u20483, tc_HOL_Obool), _u20484), c_COMBI(_u20483))))), hAPP(hAPP(c_COMBC(tc_fun(_u20483, tc_HOL_Obool), tc_fun(_u20483, tc_fun(_u20483, tc_HOL_Obool)), tc_fun(_u20483, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20483, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20483, tc_fun(_u20483, tc_HOL_Obool)), tc_fun(_u20483, tc_HOL_Obool)), tc_fun(_u20483, tc_HOL_Obool)), c_COMBB(tc_fun(_u20483, tc_HOL_Obool), tc_HOL_Obool, _u20483)), c_fequal)), _u20484))))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488) != skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20491, tc_HOL_Obool)), hAPP(_u20492, skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))), hAPP(_u20492, skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))) != c_Orderings_Obot__class_Obot(tc_fun(_u20491, tc_HOL_Obool))) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488) != skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)) )).
% 12.29/12.51 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20491, tc_HOL_Obool)), hAPP(_u20492, skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))), hAPP(_u20492, skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))) != c_Orderings_Obot__class_Obot(tc_fun(_u20491, tc_HOL_Obool))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20495), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20495 = hAPP(c_Code__Numeral_Onat__of, skolem574(_u20495))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20497), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20498, hAPP(c_Code__Numeral_Onat__of, skolem575(_u20498, _u20497)))) | hBOOL(hAPP(_u20498, _u20497)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_of__nat__cases-1, axiom, ( ( _u20500 = hAPP(c_Code__Numeral_Oof__nat, skolem576(_u20500))) )).
% 12.29/12.51 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem576(_u20500)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u20502, _u20503)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem577(_u20503, _u20502)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.51 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u20502, _u20503)) | ~hBOOL(hAPP(_u20502, hAPP(c_Code__Numeral_Oof__nat, skolem577(_u20503, _u20502)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20504, _u20505, _u20506, _u20507, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20505)) = _u20506) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20508, _u20509, _u20510, _u20511, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20509, _u20512, _u20513)) = hAPP(hAPP(hAPP(_u20511, _u20512), _u20513), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20508, _u20509, _u20510, _u20511, _u20513))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Least__Suc2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Least__Suc2-1, axiom, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem578(_u20518, _u20517, _u20516, _u20515)))) | hBOOL(hAPP(_u20517, skolem579(_u20518, _u20517, _u20516, _u20515))) )).
% 12.29/12.51 cnf(fact_Least__Suc2-2, axiom, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem578(_u20518, _u20517, _u20516, _u20515)))) | ~hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem579(_u20518, _u20517, _u20516, _u20515)))) )).
% 12.29/12.51 cnf(fact_Least__Suc2-3, axiom, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | ~hBOOL(hAPP(_u20517, skolem578(_u20518, _u20517, _u20516, _u20515))) | hBOOL(hAPP(_u20517, skolem579(_u20518, _u20517, _u20516, _u20515))) )).
% 12.29/12.51 cnf(fact_Least__Suc2-4, axiom, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | ~hBOOL(hAPP(_u20517, skolem578(_u20518, _u20517, _u20516, _u20515))) | ~hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem579(_u20518, _u20517, _u20516, _u20515)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20523), _u20525)) | ( c_Quickcheck_Obeyond(_u20523, _u20525) = _u20525) )).
% 12.29/12.51 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20524), _u20526)) | ( c_Quickcheck_Obeyond(_u20524, _u20526) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u20527, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20528, _u20529, _u20530, _u20531), _u20532), _u20533) = hAPP(_u20531, hAPP(hAPP(c_Product__Type_OPair(_u20528, _u20529), _u20532), _u20533))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_refl__on__UNION ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_refl__on__UNION-1, axiom, ( c_Relation_Orefl__on(_u20537, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(_u20537, tc_HOL_Obool)), _u20536), _u20538), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(tc_prod(_u20537, _u20537), tc_HOL_Obool)), _u20536), _u20539)) | hBOOL(hAPP(hAPP(c_member(_u20535), skolem580(_u20539, _u20538, _u20537, _u20536, _u20535)), _u20536)) )).
% 12.29/12.51 cnf(fact_refl__on__UNION-2, axiom, ( c_Relation_Orefl__on(_u20537, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(_u20537, tc_HOL_Obool)), _u20536), _u20538), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(tc_prod(_u20537, _u20537), tc_HOL_Obool)), _u20536), _u20539)) | ~c_Relation_Orefl__on(_u20537, hAPP(_u20538, skolem580(_u20539, _u20538, _u20537, _u20536, _u20535)), hAPP(_u20539, skolem580(_u20539, _u20538, _u20537, _u20536, _u20535))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_curryI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u20540, hAPP(hAPP(c_Product__Type_OPair(_u20541, _u20542), _u20543), _u20544))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20541, _u20542, tc_HOL_Obool, _u20540), _u20543), _u20544)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u20545, _u20546, _u20547, hAPP(c_Product__Type_Oprod_Oprod__case(_u20545, _u20546, _u20547), _u20548)) = _u20548) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20549, _u20550, _u20551), c_Product__Type_Ocurry(_u20549, _u20550, _u20551, _u20552)) = _u20552) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20553, _u20554, _u20555, _u20556), _u20557), _u20558) = hAPP(_u20556, hAPP(hAPP(c_Product__Type_OPair(_u20553, _u20554), _u20557), _u20558))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_curryD ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20559, _u20560, tc_HOL_Obool, _u20561), _u20562), _u20563)) | hBOOL(hAPP(_u20561, hAPP(hAPP(c_Product__Type_OPair(_u20559, _u20560), _u20562), _u20563))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_curryE ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20564, _u20565, tc_HOL_Obool, _u20566), _u20567), _u20568)) | hBOOL(hAPP(_u20566, hAPP(hAPP(c_Product__Type_OPair(_u20564, _u20565), _u20567), _u20568))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_bex__reg__eqv ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_bex__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20573, _u20574) | ~hBOOL(hAPP(hAPP(c_member(_u20573), _u20569), c_Quotient_ORespects(_u20573, _u20574))) | ~hBOOL(hAPP(_u20575, _u20569)) | hBOOL(hAPP(_u20575, skolem581(_u20575, _u20574, _u20573))) )).
% 12.29/12.51 cnf(fact_bex__reg__eqv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20573, _u20574) | ~hBOOL(hAPP(_u20575, _u20571)) | hBOOL(hAPP(hAPP(c_member(_u20573), skolem582(_u20575, _u20574, _u20573)), c_Quotient_ORespects(_u20573, _u20574))) )).
% 12.29/12.51 cnf(fact_bex__reg__eqv-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20573, _u20574) | ~hBOOL(hAPP(_u20575, _u20571)) | hBOOL(hAPP(_u20575, skolem582(_u20575, _u20574, _u20573))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_wf__weak__decr__stable ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_wf__weak__decr__stable-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20579, _u20579)), hAPP(hAPP(c_Product__Type_OPair(_u20579, _u20579), hAPP(_u20580, hAPP(c_Nat_OSuc, skolem583(_u20581, _u20580, _u20579)))), hAPP(_u20580, skolem583(_u20581, _u20580, _u20579)))), c_Transitive__Closure_Ortrancl(_u20579, _u20581))) | ~c_Wellfounded_Owf(_u20579, c_Transitive__Closure_Otrancl(_u20579, _u20581)) | ( hAPP(_u20580, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem584(_u20581, _u20580, _u20579)), _u20577)) = hAPP(_u20580, skolem584(_u20581, _u20580, _u20579))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_in__respects ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_in__respects-1, axiom, ( hBOOL(hAPP(hAPP(_u20589, _u20587), _u20587)) | ~hBOOL(hAPP(hAPP(c_member(_u20585), _u20587), c_Quotient_ORespects(_u20585, _u20589))) )).
% 12.29/12.51 cnf(fact_in__respects-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20590, _u20588), _u20588)) | hBOOL(hAPP(hAPP(c_member(_u20586), _u20588), c_Quotient_ORespects(_u20586, _u20590))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Respects__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Respects__def-1, axiom, ( hBOOL(hAPP(hAPP(_u20596, _u20598), _u20598)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20594, _u20596), _u20598)) )).
% 12.29/12.51 cnf(fact_Respects__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20597, _u20599), _u20599)) | hBOOL(hAPP(c_Quotient_ORespects(_u20595, _u20597), _u20599)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_bex__reg__right ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_bex__reg__right-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | hBOOL(hAPP(_u20605, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(hAPP(c_member(_u20603), skolem586(_u20606, _u20605, _u20604, _u20603)), c_Quotient_ORespects(_u20603, _u20604))) )).
% 12.29/12.51 cnf(fact_bex__reg__right-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | hBOOL(hAPP(_u20605, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(_u20606, skolem586(_u20606, _u20605, _u20604, _u20603))) )).
% 12.29/12.51 cnf(fact_bex__reg__right-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | ~hBOOL(hAPP(_u20606, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(hAPP(c_member(_u20603), skolem586(_u20606, _u20605, _u20604, _u20603)), c_Quotient_ORespects(_u20603, _u20604))) )).
% 12.29/12.51 cnf(fact_bex__reg__right-4, axiom, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | ~hBOOL(hAPP(_u20606, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(_u20606, skolem586(_u20606, _u20605, _u20604, _u20603))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_babs__reg__eqv ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_babs__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20607, _u20608) | ( c_Quotient_OBabs(_u20607, _u20609, c_Quotient_ORespects(_u20607, _u20608), _u20610) = _u20610) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_Babs__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_Babs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20611), _u20612), _u20613)) | ( hAPP(c_Quotient_OBabs(_u20611, _u20614, _u20613, _u20615), _u20612) = hAPP(_u20615, _u20612)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623))), c_Transitive__Closure_Ortrancl(tc_prod(_u20618, _u20619), _u20624))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621) = hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), skolem587(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618)), skolem588(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618)))), _u20624)) )).
% 12.29/12.51 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623))), c_Transitive__Closure_Ortrancl(tc_prod(_u20618, _u20619), _u20624))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621) = hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), skolem587(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618)), skolem588(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618))), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623))), c_Transitive__Closure_Ortrancl(tc_prod(_u20618, _u20619), _u20624))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), skolem589(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem590(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), skolem591(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem592(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)))), _u20635)) )).
% 12.29/12.51 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), skolem591(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem592(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) )).
% 12.29/12.51 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | hBOOL(hAPP(hAPP(_u20636, skolem591(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem592(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))) )).
% 12.29/12.51 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | ~hBOOL(hAPP(hAPP(_u20636, skolem589(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem590(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), skolem593(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem594(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) )).
% 12.29/12.51 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), skolem593(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem594(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641))), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), skolem595(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem596(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)))), _u20647)) )).
% 12.29/12.51 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | hBOOL(hAPP(hAPP(_u20648, skolem593(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem594(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641))) )).
% 12.29/12.51 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | ~hBOOL(hAPP(hAPP(_u20648, skolem595(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem596(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_congruent2I_H ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_congruent2I_H-1, axiom, ( c_Equiv__Relations_Ocongruent2(_u20653, _u20655, _u20658, _u20654, _u20656, _u20657) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20653, _u20653)), hAPP(hAPP(c_Product__Type_OPair(_u20653, _u20653), skolem597(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem598(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653))), _u20654)) )).
% 12.29/12.51 cnf(fact_congruent2I_H-2, axiom, ( c_Equiv__Relations_Ocongruent2(_u20653, _u20655, _u20658, _u20654, _u20656, _u20657) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20655, _u20655)), hAPP(hAPP(c_Product__Type_OPair(_u20655, _u20655), skolem599(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem600(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653))), _u20656)) )).
% 12.29/12.51 cnf(fact_congruent2I_H-3, axiom, ( c_Equiv__Relations_Ocongruent2(_u20653, _u20655, _u20658, _u20654, _u20656, _u20657) | ( hAPP(hAPP(_u20657, skolem597(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem599(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)) != hAPP(hAPP(_u20657, skolem598(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem600(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_congruentI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_congruentI-1, axiom, ( c_Equiv__Relations_Ocongruent(_u20661, _u20664, _u20662, _u20663) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20661, _u20661)), hAPP(hAPP(c_Product__Type_OPair(_u20661, _u20661), skolem601(_u20664, _u20663, _u20662, _u20661)), skolem602(_u20664, _u20663, _u20662, _u20661))), _u20662)) )).
% 12.29/12.51 cnf(fact_congruentI-2, axiom, ( c_Equiv__Relations_Ocongruent(_u20661, _u20664, _u20662, _u20663) | ( hAPP(_u20663, skolem601(_u20664, _u20663, _u20662, _u20661)) != hAPP(_u20663, skolem602(_u20664, _u20663, _u20662, _u20661))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact__03 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact__03-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20665, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20665), _u20666, _u20667)) = c_Lazy__Sequence_Oappend(_u20665, _u20666, c_Lazy__Sequence_Oflat(_u20665, _u20667))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact__04 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact__04-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20668, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20668))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20668)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact__05 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact__05-1, axiom, ( ( hAPP(c_Lazy__Sequence_Obind(_u20669, _u20670, _u20671), _u20672) = c_Lazy__Sequence_Oflat(_u20670, c_Lazy__Sequence_Omap(_u20669, tc_Lazy__Sequence_Olazy__sequence(_u20670), _u20672, _u20671))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_all__interval__nat__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_all__interval__nat__def-1, axiom, ( ~c_List_Oall__interval__nat(_u20678, _u20680, _u20682) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20680), _u20682))) | hBOOL(hAPP(_u20678, _u20673)) )).
% 12.29/12.51 cnf(fact_all__interval__nat__def-2, axiom, ( c_List_Oall__interval__nat(_u20679, _u20681, _u20683) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem603(_u20683, _u20681, _u20679)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20681), _u20683))) )).
% 12.29/12.51 cnf(fact_all__interval__nat__def-3, axiom, ( c_List_Oall__interval__nat(_u20679, _u20681, _u20683) | ~hBOOL(hAPP(_u20679, skolem603(_u20683, _u20681, _u20679))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact__06 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact__06-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20684, _u20685, _u20686, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20684, _u20687, _u20688)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20685, hAPP(_u20686, _u20687), c_Lazy__Sequence_Omap(_u20684, _u20685, _u20686, _u20688))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact__07 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact__07-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20689, _u20690, _u20691, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20689)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20690)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_list__all__iff__all__interval__nat ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_list__all__iff__all__interval__nat-1, axiom, ( ~c_List_Olist__all(tc_Nat_Onat, _u20695, c_List_Oupt(_u20697, _u20699)) | c_List_Oall__interval__nat(_u20695, _u20697, _u20699) )).
% 12.29/12.51 cnf(fact_list__all__iff__all__interval__nat-2, axiom, ( ~c_List_Oall__interval__nat(_u20696, _u20698, _u20700) | c_List_Olist__all(tc_Nat_Onat, _u20696, c_List_Oupt(_u20698, _u20700)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_list__ex__iff__not__all__inverval__nat ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_list__ex__iff__not__all__inverval__nat-1, axiom, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20704, c_List_Oupt(_u20706, _u20708)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20704), _u20706, _u20708) )).
% 12.29/12.51 cnf(fact_list__ex__iff__not__all__inverval__nat-2, axiom, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20705), _u20707, _u20709) | c_List_Olist__ex(tc_Nat_Onat, _u20705, c_List_Oupt(_u20707, _u20709)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_New__DSequence_Opos__map__def ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_New__DSequence_Opos__map__def-1, axiom, ( ( c_New__DSequence_Opos__map(_u20710, _u20711, _u20712, _u20713, _u20714) = c_Lazy__Sequence_Omap(_u20710, _u20711, _u20712, hAPP(_u20713, _u20714))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_folding__image_Ocong ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_folding__image_Ocong-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u20716, _u20717, _u20718, _u20719, _u20720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20717), _u20721)) | ( hAPP(hAPP(_u20720, _u20722), _u20721) = hAPP(hAPP(_u20720, _u20723), _u20721)) | hBOOL(hAPP(hAPP(c_member(_u20717), skolem604(_u20723, _u20722, _u20721, _u20720, _u20719, _u20718, _u20717)), _u20721)) )).
% 12.29/12.51 cnf(fact_folding__image_Ocong-2, axiom, ( ~c_Finite__Set_Ofolding__image(_u20716, _u20717, _u20718, _u20719, _u20720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20717), _u20721)) | ( hAPP(hAPP(_u20720, _u20722), _u20721) = hAPP(hAPP(_u20720, _u20723), _u20721)) | ( hAPP(_u20722, skolem604(_u20723, _u20722, _u20721, _u20720, _u20719, _u20718, _u20717)) != hAPP(_u20723, skolem604(_u20723, _u20722, _u20721, _u20720, _u20719, _u20718, _u20717))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_power__dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20724), _u20725)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20724), _u20726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20725), _u20726)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_finite__nonempty__imp__fold1Set ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_finite__nonempty__imp__fold1Set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20728), _u20729)) | ( _u20729 = c_Orderings_Obot__class_Obot(tc_fun(_u20728, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u20728, _u20730, _u20729), skolem605(_u20730, _u20729, _u20728))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20731), _u20731)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20732) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20732), _u20733), c_Groups_Ozero__class_Ozero(_u20732))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__1__left-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20734)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u20739) | ~class_Rings_Osemiring__0(_u20739) | ~hBOOL(hAPP(_u20740, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20741), _u20735))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20739), skolem606(_u20741, _u20740, _u20739)), c_Groups_Ozero__class_Ozero(_u20739)))) )).
% 12.29/12.51 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u20739) | ~class_Rings_Osemiring__0(_u20739) | ~hBOOL(hAPP(_u20740, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20741), _u20735))) | hBOOL(hAPP(_u20740, skolem606(_u20741, _u20740, _u20739))) )).
% 12.29/12.51 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u20739) | ~class_Rings_Osemiring__0(_u20739) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20739), _u20737), c_Groups_Ozero__class_Ozero(_u20739)))) | ~hBOOL(hAPP(_u20740, _u20737)) | hBOOL(hAPP(_u20740, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20741), skolem607(_u20741, _u20740, _u20739)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20742) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20742), _u20743), _u20744)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20742), _u20743), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20742), _u20744), _u20743)) = _u20744) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u20745) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), _u20746), _u20747)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20748), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20745), _u20747), _u20746)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20748), _u20747)), _u20746)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u20749) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20749), _u20750), _u20751)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20749), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20749), _u20751), _u20750)), _u20750) = _u20751) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20752) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20752), _u20753), _u20754)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20752), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20752), _u20754), _u20753)), _u20755) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20752), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20752), _u20754), _u20755)), _u20753)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20756) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20756), _u20757), _u20758)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20756), _u20759), _u20760)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20756), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20756), _u20758), _u20757)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20756), _u20760), _u20759)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20756), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20756), _u20758), _u20760)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20756), _u20757), _u20759))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u20761) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20764))) | ( _u20762 = c_Groups_Ozero__class_Ozero(_u20761)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), _u20763), _u20764)) )).
% 12.29/12.51 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u20761) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20764))) | ( _u20762 != c_Groups_Ozero__class_Ozero(_u20761)) )).
% 12.29/12.51 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u20761) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20764))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), _u20763), _u20764)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u20765) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20766), _u20767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20768), _u20767))) | ( _u20767 = c_Groups_Ozero__class_Ozero(_u20765)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), _u20766), _u20768)) )).
% 12.29/12.51 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u20765) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20766), _u20767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20768), _u20767))) | ( _u20767 != c_Groups_Ozero__class_Ozero(_u20765)) )).
% 12.29/12.51 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u20765) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20766), _u20767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20768), _u20767))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), _u20766), _u20768)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20769) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20769), _u20770), _u20771)), _u20772)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20769), _u20771), _u20772)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20773) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20773), _u20774), _u20775)), _u20776)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20773), _u20774), _u20776)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u20777) | ( _u20778 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20777), _u20779), _u20780)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20777), _u20779), _u20778)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20781) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20781), _u20782), _u20783)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20781), _u20784), _u20785)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20781), _u20782), _u20784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20781), _u20783), _u20785))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20786) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20786), _u20787), _u20788)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20786), _u20787), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20786), _u20789), _u20788))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20790) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20790), _u20791), _u20792)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20790), _u20791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20790), _u20792), _u20793))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20794) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20794), _u20795), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20794), _u20796), _u20795))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20797) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20797), _u20798), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20797), _u20798), _u20799))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_nat__mult__dvd__cancel__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20803), _u20805)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20803), _u20807))) | ( _u20803 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20805), _u20807)) )).
% 12.29/12.51 cnf(fact_nat__mult__dvd__cancel__disj-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20808))) | ( _u20804 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.51 cnf(fact_nat__mult__dvd__cancel__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20808))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20806), _u20808)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20811) | ~class_Rings_Odvd(_u20811) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), _u20813)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), _u20817), _u20814))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20811), _u20817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20811), _u20815), _u20813))), _u20814))) )).
% 12.29/12.51 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20811) | ~class_Rings_Odvd(_u20811) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), _u20813)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), _u20818), _u20814))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20811), _u20818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20811), _u20816), _u20813))), _u20814))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20821) | ~class_Rings_Odvd(_u20821) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), _u20823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), _u20827), _u20824))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20821), _u20827), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20821), _u20825), _u20823))), _u20824))) )).
% 12.29/12.51 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20821) | ~class_Rings_Odvd(_u20821) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), _u20823)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), _u20828), _u20824))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20821), _u20828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20821), _u20826), _u20823))), _u20824))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20829) | ( _u20830 = c_Groups_Ozero__class_Ozero(_u20829)) | ( _u20831 = c_Groups_Ozero__class_Ozero(_u20829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20830), _u20832)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20831), _u20833)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20832), _u20830) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20833), _u20831)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20832), _u20831) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20830), _u20833)) )).
% 12.29/12.51 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20829) | ( _u20830 = c_Groups_Ozero__class_Ozero(_u20829)) | ( _u20831 = c_Groups_Ozero__class_Ozero(_u20829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20830), _u20832)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20831), _u20833)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20832), _u20831) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20830), _u20833)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20832), _u20830) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20833), _u20831)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20834) | ( _u20835 = c_Groups_Ozero__class_Ozero(_u20834)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20834), _u20835), _u20836)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20834), _u20836), _u20835) != _u20837) | ( _u20836 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20834), _u20837), _u20835)) )).
% 12.29/12.51 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20834) | ( _u20835 = c_Groups_Ozero__class_Ozero(_u20834)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20834), _u20835), _u20836)) | ( _u20836 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20834), _u20837), _u20835)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20834), _u20836), _u20835) = _u20837) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20841, _u20843) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20845), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20841 = _u20843) )).
% 12.29/12.51 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20841, _u20843) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20845), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20843 = _u20845) )).
% 12.29/12.51 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u20842 != _u20844) | ( _u20844 != _u20846) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20842, _u20844) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20846), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20847, _u20847) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20847), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u20848 != _u20849) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20848, _u20849) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20848), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20850), _u20851)) | ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20851, _u20850) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20852), _u20853)) | ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20853, _u20852) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20855)) | ( c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20855, _u20854) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20858, _u20860) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20860)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20860), _u20858)) )).
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20859, _u20861) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) )).
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20859, _u20861) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20861), _u20859)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OatLeastLessThan__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20864, _u20866) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20864), _u20866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20866), _u20864)) )).
% 12.29/12.51 cnf(fact_dvd_OatLeastLessThan__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20865, _u20867) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20865), _u20867)) )).
% 12.29/12.51 cnf(fact_dvd_OatLeastLessThan__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20865, _u20867) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20867), _u20865)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20870, _u20872)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20870)) )).
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20871, _u20873)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20873)) )).
% 12.29/12.51 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20871, _u20873)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20873), _u20871)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20874) | class_Lattices_Obounded__lattice(tc_fun(_u20875, _u20874)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20876) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20877, _u20876)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20878) | class_Lattices_Obounded__lattice__top(tc_fun(_u20879, _u20878)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20880) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20881, _u20880)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20882) | class_Lattices_Osemilattice__sup(tc_fun(_u20883, _u20882)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20884) | class_Lattices_Osemilattice__inf(tc_fun(_u20885, _u20884)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20886) | class_Lattices_Odistrib__lattice(tc_fun(_u20887, _u20886)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20888) | class_Lattices_Oboolean__algebra(tc_fun(_u20889, _u20888)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20890) | class_Orderings_Opreorder(tc_fun(_u20891, _u20890)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20892) | ~class_Finite__Set_Ofinite(_u20893) | class_Finite__Set_Ofinite(tc_fun(_u20892, _u20893)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20894) | class_Lattices_Olattice(tc_fun(_u20895, _u20894)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20896) | class_Orderings_Oorder(tc_fun(_u20897, _u20896)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20898) | class_Orderings_Otop(tc_fun(_u20899, _u20898)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20900) | class_Orderings_Oord(tc_fun(_u20901, _u20900)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20902) | class_Orderings_Obot(tc_fun(_u20903, _u20902)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20904) | class_Groups_Ouminus(tc_fun(_u20905, _u20904)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20906) | class_Groups_Ominus(tc_fun(_u20907, _u20906)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20908) | ~class_Enum_Oenum(_u20909) | class_Enum_Oenum(tc_fun(_u20908, _u20909)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20910) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20910)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20911)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20912) | ~class_Finite__Set_Ofinite(_u20913) | class_Finite__Set_Ofinite(tc_sum(_u20912, _u20913)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20914) | ~class_Enum_Oenum(_u20915) | class_Enum_Oenum(tc_sum(_u20914, _u20915)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20916, _u20917)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20918) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20918)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20919) | class_Enum_Oenum(tc_Option_Ooption(_u20919)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20920)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20921, _u20922)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20923) | ~class_Lazy__Sequence_Osmall__lazy(_u20924) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20923, _u20924)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20925) | ~class_Finite__Set_Ofinite(_u20926) | class_Finite__Set_Ofinite(tc_prod(_u20925, _u20926)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20927) | ~class_Enum_Oenum(_u20928) | class_Enum_Oenum(tc_prod(_u20927, _u20928)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20929, _u20930)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20931)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.51
% 12.29/12.51 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 12.29/12.51 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20932)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20933), _u20934) = _u20934) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20935, _u20936), _u20937), _u20938) = _u20937) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20939, _u20940, _u20941), _u20942), _u20943), _u20944) = hAPP(_u20942, hAPP(_u20943, _u20944))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20945, _u20946, _u20947), _u20948), _u20949), _u20950) = hAPP(hAPP(_u20948, _u20950), _u20949)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20951, _u20952, _u20953), _u20954), _u20955), _u20956) = hAPP(hAPP(_u20954, _u20956), hAPP(_u20955, _u20956))) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20957), _u20958)) | ( _u20957 = _u20958) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fequal__2-1, axiom, ( ( _u20959 != _u20960) | hBOOL(hAPP(hAPP(c_fequal, _u20959), _u20960)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20961)) | ~hBOOL(_u20961) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20962) | hBOOL(hAPP(c_fNot, _u20962)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20964) | ~hBOOL(_u20963) | hBOOL(hAPP(hAPP(c_fconj, _u20963), _u20964)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20965), _u20966)) | hBOOL(_u20965) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20968) | ~hBOOL(hAPP(hAPP(c_fconj, _u20967), _u20968)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20969) | hBOOL(hAPP(hAPP(c_fdisj, _u20969), _u20970)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20971) | hBOOL(hAPP(hAPP(c_fdisj, _u20972), _u20971)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20974) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20973), _u20974)) | hBOOL(_u20973) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20975) | hBOOL(hAPP(hAPP(c_fimplies, _u20975), _u20976)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20977) | hBOOL(hAPP(hAPP(c_fimplies, _u20978), _u20977)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 12.29/12.51 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20980) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20979), _u20980)) | ~hBOOL(_u20979) )).
% 12.29/12.51
% 12.29/12.51 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.29/12.51 cnf(conj_0-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, v_ts_H) )).
% 12.29/12.51
% 12.29/12.51 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 12.29/12.51 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)), v_ts), v_ts_H)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 12.29/12.51 cnf(conj_2-1, hypothesis, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)) )).
% 12.29/12.51
% 12.29/12.51 % Formula: conj_3 ( hypothesis ) converted to clauses:
% 12.29/12.51 cnf(conj_3-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_ts_H) )).
% 12.29/12.51
% 12.29/12.51 % Formula: conj_4 ( conjecture ) (definitionally) converted to clauses:
% 12.29/12.51 cnf(conj_4-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_ts) )).
% 12.29/12.51
% 12.29/12.51 % Problem matrix:
% 12.29/12.51 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.29/12.51 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.29/12.51 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.29/12.51 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 12.29/12.51 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)) )).
% 12.29/12.51 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)) )).
% 12.29/12.51 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord__class_OLeast(__eqx_0, __eqx_1) = c_Orderings_Oord__class_OLeast(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2) = c_COMBC(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OInf__class_OInf(__eqx_0, __eqx_1) = c_Complete__Lattice_OInf__class_OInf(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SetInterval_Oord__class_OatLeastLessThan(__eqx_0, __eqx_1) = c_SetInterval_Oord__class_OatLeastLessThan(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OSup__class_OSup(__eqx_0, __eqx_1) = c_Complete__Lattice_OSup__class_OSup(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OatLeastLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OatLeastLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OgreaterThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OgreaterThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OlessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OlessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatLeast(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatLeast(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Othe__elem(__eqx_0, __eqx_1) = c_Set_Othe__elem(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-46, 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)) )).
% 12.29/12.51 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(__eqx_0, __eqx_1) = c_Inductive_Ocomplete__lattice__class_Ogfp(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Inductive_Ocomplete__lattice__class_Olfp(__eqx_0, __eqx_1) = c_Inductive_Ocomplete__lattice__class_Olfp(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Oenum__the(__eqx_0, __eqx_1) = c_Enum_Oenum__the(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Partial__Function_Oflat__lub(__eqx_0, __eqx_1, __eqx_2) = c_Partial__Function_Oflat__lub(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 12.29/12.51 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_Finite__Set_Ofold__graph(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold__graph(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold1Set(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold1Set(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ooverride__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ooverride__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OInf__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OInf__fin(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OSup__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OSup__fin(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold__image(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold__image(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ofold1(__eqx_0, __eqx_1) = c_Finite__Set_Ofold1(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.29/12.51 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)) )).
% 12.29/12.51 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat__Transfer_Otsub(__eqx_0, __eqx_1) = c_Nat__Transfer_Otsub(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OPlus(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OPlus(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onat__aux(__eqx_0, __eqx_1) = c_Int_Onat__aux(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oint__lcm(__eqx_0, __eqx_1) = c_Nitpick_Oint__lcm(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__lcm(__eqx_0, __eqx_1) = c_Nitpick_Onat__lcm(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 12.29/12.51 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)) )).
% 12.29/12.51 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)) )).
% 12.29/12.51 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omin(__eqx_0, __eqx_1) = c_Orderings_Oord_Omin(__eqy_0, __eqy_1)) )).
% 12.29/12.51 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)) )).
% 12.29/12.51 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OInf__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OInf__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OSup__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OSup__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__gcd(__eqx_0, __eqx_1) = c_Nitpick_Onat__gcd(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nat_Onat_Onat__rec(__eqx_0, __eqx_1, __eqx_2) = c_Nat_Onat_Onat__rec(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oprod_Oprod__case(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oprod_Oprod__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int(__eqx_0, __eqx_1) = c_Divides_Odivmod__int(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Oprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Oprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Onat__of__aux(__eqx_0, __eqx_1) = c_Code__Numeral_Onat__of__aux(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__int__rel(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OPair(__eqx_0, __eqx_1) = c_Product__Type_OPair(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqx_0) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onorm__frac(__eqx_0, __eqx_1) = c_Nitpick_Onorm__frac(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Odiv__mod__code__numeral(__eqx_0, __eqx_1) = c_Code__Numeral_Odiv__mod__code__numeral(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapsnd(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapsnd(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat__rel(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Osnd(__eqx_0, __eqx_1) = c_Product__Type_Osnd(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Ofst(__eqx_0, __eqx_1) = c_Product__Type_Ofst(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1) = c_Relation_Oinv__image(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_FunDef_Orp__inv__image(__eqx_0, __eqx_1) = c_FunDef_Orp__inv__image(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Wellfounded_Olex__prod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Wellfounded_Olex__prod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Osame__fst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Osame__fst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapfst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapfst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omin__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omin__ext(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omax__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omax__ext(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Orel__comp(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Orel__comp(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Predicate_Opred__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Predicate_Opred__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_OAbs__Frac(__eqx_0, __eqx_1) = c_Nitpick_OAbs__Frac(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onumber__of__frac(__eqx_0, __eqx_1) = c_Nitpick_Onumber__of__frac(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ORangeP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ORangeP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ODomainP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ODomainP(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1) = c_Product__Type_OSigma(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Product__Type_Omap__pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Product__Type_Omap__pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Hilbert__Choice_OEps(__eqx_0, __eqx_1) = c_Hilbert__Choice_OEps(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oscomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oscomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random_Oiterate(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random_Oiterate(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random_Ominus__shift(__eqx_0, __eqx_1, __eqx_2) = c_Random_Ominus__shift(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oinc__shift(__eqx_0, __eqx_1) = c_Random_Oinc__shift(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oplus__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oplus__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Otimes__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Otimes__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oof__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oof__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oinverse__frac(__eqx_0, __eqx_1) = c_Nitpick_Oinverse__frac(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ouminus__frac(__eqx_0, __eqx_1) = c_Nitpick_Ouminus__frac(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osublist(__eqx_0, __eqx_1, __eqx_2) = c_List_Osublist(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-204, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-205, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oset__Cons(__eqx_0, __eqx_1, __eqx_2) = c_List_Oset__Cons(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect__weight(__eqx_0, __eqx_1) = c_Random_Oselect__weight(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-209, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_Olist__size(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_Olist__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Enum_On__lists(__eqx_0, __eqx_1, __eqx_2) = c_Enum_On__lists(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Enum_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Enum_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olist__update(__eqx_0, __eqx_1) = c_List_Olist__update(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ocard_H(__eqx_0, __eqx_1) = c_Nitpick_Ocard_H(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oremove1(__eqx_0, __eqx_1, __eqx_2) = c_List_Oremove1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olinorder__class_Osorted__list__of__set(__eqx_0, __eqx_1) = c_List_Olinorder__class_Osorted__list__of__set(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olist_Olist__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olist_Olist__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oanamorph(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oanamorph(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-231, 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)) )).
% 12.29/12.51 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ofoldl(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ofoldl(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olinorder__class_Oinsort__key(__eqx_0, __eqx_1, __eqx_2) = c_List_Olinorder__class_Oinsort__key(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olinorder__class_Oinsort__insert__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olinorder__class_Oinsort__insert__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Osetsum_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Osetsum_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Opartition(__eqx_0, __eqx_1, __eqx_2) = c_List_Opartition(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olinorder__class_Osort__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olinorder__class_Osort__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OtakeWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OtakeWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OdropWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OdropWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_List_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omaps(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omaps(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__not__random__dseq(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__not__random__dseq(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Ohb__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Ohb__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 12.29/12.51 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__empty(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__empty(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-280, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Oneg__single(__eqx_0, __eqx_1) = c_New__DSequence_Oneg__single(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Ohb__single(__eqx_0, __eqx_1) = c_Lazy__Sequence_Ohb__single(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Opos__single(__eqx_0, __eqx_1) = c_New__DSequence_Opos__single(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osplice(__eqx_0, __eqx_1, __eqx_2) = c_List_Osplice(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hilbert__Choice_Oinv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hilbert__Choice_Oinv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oappend(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oappend(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-294, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_New__DSequence_Opos__union(__eqx_0, __eqx_1, __eqx_2) = c_New__DSequence_Opos__union(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_Oconversep(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_Oconversep(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_New__Random__Sequence_Opos__union(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_New__Random__Sequence_Opos__union(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy_H(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy_H(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oreplicate(__eqx_0, __eqx_1, __eqx_2) = c_List_Oreplicate(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqx_0, __eqx_1) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-301, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-302, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-304, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Opair__box_OPairBox(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Opair__box_OPairBox(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_Nitpick_Opair__box(__eqx_0, __eqx_1) = tc_Nitpick_Opair__box(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_OTHE__default(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_OTHE__default(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-311, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_ORandom(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_ORandom(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random__Sequence_Oempty(__eqx_0, __eqx_1, __eqx_2) = c_Random__Sequence_Oempty(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-322, plain, ( ( __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)) )).
% 12.29/12.51 cnf(matrix-323, 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)) )).
% 12.29/12.51 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-325, 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)) )).
% 12.29/12.51 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quotient_ORespects(__eqx_0, __eqx_1) = c_Quotient_ORespects(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Quotient_OBabs(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Quotient_OBabs(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Oflat(__eqx_0, __eqx_1) = c_Lazy__Sequence_Oflat(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_New__DSequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_New__DSequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-340, 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)) )).
% 12.29/12.51 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem10(__eqx_0, __eqx_1, __eqx_2) = skolem10(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-346, 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)) )).
% 12.29/12.51 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem16(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem16(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem17(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem17(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem19(__eqx_0, __eqx_1, __eqx_2) = skolem19(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-351, plain, ( ( __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) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-352, plain, ( ( __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) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem22(__eqx_0, __eqx_1, __eqx_2) = skolem22(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem23(__eqx_0, __eqx_1, __eqx_2) = skolem23(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-355, plain, ( ( __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) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-356, plain, ( ( __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) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem26(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem26(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 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) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem28(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem28(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 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) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-362, 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)) )).
% 12.29/12.51 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem32(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem32(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-365, 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)) )).
% 12.29/12.51 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem38(__eqx_0, __eqx_1, __eqx_2) = skolem38(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem39(__eqx_0, __eqx_1, __eqx_2) = skolem39(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem40(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem40(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem41(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem41(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem42(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem42(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem43(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem43(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem44(__eqx_0, __eqx_1, __eqx_2) = skolem44(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem45(__eqx_0, __eqx_1, __eqx_2) = skolem45(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem46(__eqx_0, __eqx_1, __eqx_2) = skolem46(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem47(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem47(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem48(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem48(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem49(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem49(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem50(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem50(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem51(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem51(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem53(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem53(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem55(__eqx_0, __eqx_1) = skolem55(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem56(__eqx_0, __eqx_1) = skolem56(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem57(__eqx_0, __eqx_1, __eqx_2) = skolem57(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem58(__eqx_0, __eqx_1, __eqx_2) = skolem58(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem61(__eqx_0, __eqx_1, __eqx_2) = skolem61(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem62(__eqx_0, __eqx_1, __eqx_2) = skolem62(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-394, 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)) )).
% 12.29/12.51 cnf(matrix-395, 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)) )).
% 12.29/12.51 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem65(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem65(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem66(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem66(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem67(__eqx_0, __eqx_1, __eqx_2) = skolem67(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem68(__eqx_0, __eqx_1, __eqx_2) = skolem68(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem69(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem69(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem70(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem70(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem71(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem71(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem72(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem72(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-404, 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)) )).
% 12.29/12.51 cnf(matrix-405, 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)) )).
% 12.29/12.51 cnf(matrix-406, plain, ( ( __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) | ( skolem75(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem75(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-407, plain, ( ( __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) | ( skolem76(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem76(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-408, plain, ( ( __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) | ( skolem77(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem77(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem78(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem78(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem79(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem79(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem80(__eqx_0, __eqx_1, __eqx_2) = skolem80(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem81(__eqx_0, __eqx_1) = skolem81(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem83(__eqx_0, __eqx_1, __eqx_2) = skolem83(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem84(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem84(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-416, 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)) )).
% 12.29/12.51 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem87(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem87(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem88(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem88(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-420, 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)) )).
% 12.29/12.51 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem90(__eqx_0, __eqx_1) = skolem90(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem91(__eqx_0, __eqx_1) = skolem91(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem92(__eqx_0, __eqx_1) = skolem92(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem93(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem93(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem94(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem94(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem95(__eqx_0, __eqx_1) = skolem95(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem96(__eqx_0, __eqx_1) = skolem96(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-428, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem97(__eqx_0, __eqx_1, __eqx_2) = skolem97(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem98(__eqx_0, __eqx_1, __eqx_2) = skolem98(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem99(__eqx_0, __eqx_1, __eqx_2) = skolem99(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem100(__eqx_0, __eqx_1, __eqx_2) = skolem100(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem101(__eqx_0, __eqx_1, __eqx_2) = skolem101(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem102(__eqx_0, __eqx_1, __eqx_2) = skolem102(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem103(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem103(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem104(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem104(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem105(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem105(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem106(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem106(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem108(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem108(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem109(__eqx_0, __eqx_1, __eqx_2) = skolem109(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem110(__eqx_0, __eqx_1) = skolem110(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem111(__eqx_0, __eqx_1) = skolem111(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem112(__eqx_0, __eqx_1, __eqx_2) = skolem112(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem113(__eqx_0, __eqx_1, __eqx_2) = skolem113(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem114(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem114(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem115(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem115(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( skolem116(__eqx_0) = skolem116(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem117(__eqx_0, __eqx_1) = skolem117(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( skolem118(__eqx_0) = skolem118(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem119(__eqx_0, __eqx_1) = skolem119(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem120(__eqx_0, __eqx_1) = skolem120(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem121(__eqx_0, __eqx_1, __eqx_2) = skolem121(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem122(__eqx_0, __eqx_1, __eqx_2) = skolem122(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem123(__eqx_0, __eqx_1, __eqx_2) = skolem123(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem124(__eqx_0, __eqx_1, __eqx_2) = skolem124(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem125(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem125(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem126(__eqx_0, __eqx_1) = skolem126(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem127(__eqx_0, __eqx_1) = skolem127(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem128(__eqx_0, __eqx_1) = skolem128(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem129(__eqx_0, __eqx_1) = skolem129(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem130(__eqx_0, __eqx_1) = skolem130(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem131(__eqx_0, __eqx_1) = skolem131(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem132(__eqx_0, __eqx_1) = skolem132(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem133(__eqx_0, __eqx_1) = skolem133(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-465, 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)) )).
% 12.29/12.51 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem135(__eqx_0, __eqx_1) = skolem135(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( skolem136(__eqx_0) = skolem136(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( skolem137(__eqx_0) = skolem137(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( skolem138(__eqx_0) = skolem138(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( skolem139(__eqx_0) = skolem139(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-471, 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)) )).
% 12.29/12.51 cnf(matrix-472, 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)) )).
% 12.29/12.51 cnf(matrix-473, 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)) )).
% 12.29/12.51 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem143(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem143(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem144(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem144(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem145(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem145(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem146(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem146(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem147(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem147(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem148(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem148(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem149(__eqx_0, __eqx_1) = skolem149(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem150(__eqx_0, __eqx_1) = skolem150(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem151(__eqx_0, __eqx_1) = skolem151(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem152(__eqx_0, __eqx_1) = skolem152(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem153(__eqx_0, __eqx_1) = skolem153(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem154(__eqx_0, __eqx_1) = skolem154(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem155(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem155(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem156(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem156(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem157(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem157(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem158(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem158(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem159(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem159(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem160(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem160(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem161(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem161(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem162(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem162(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-494, 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)) )).
% 12.29/12.51 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem164(__eqx_0, __eqx_1, __eqx_2) = skolem164(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem165(__eqx_0, __eqx_1, __eqx_2) = skolem165(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-497, 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)) )).
% 12.29/12.51 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem167(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem167(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem170(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem170(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem171(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem171(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-503, 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)) )).
% 12.29/12.51 cnf(matrix-504, 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)) )).
% 12.29/12.51 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 12.29/12.51 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem175(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem175(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem176(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem176(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem177(__eqx_0, __eqx_1, __eqx_2) = skolem177(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem178(__eqx_0, __eqx_1) = skolem178(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem179(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem179(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem180(__eqx_0, __eqx_1) = skolem180(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( skolem181(__eqx_0) = skolem181(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem182(__eqx_0, __eqx_1) = skolem182(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem183(__eqx_0, __eqx_1) = skolem183(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem184(__eqx_0, __eqx_1, __eqx_2) = skolem184(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem185(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem185(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem186(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem186(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem187(__eqx_0, __eqx_1, __eqx_2) = skolem187(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-519, 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)) )).
% 12.29/12.51 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem189(__eqx_0, __eqx_1, __eqx_2) = skolem189(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem190(__eqx_0, __eqx_1, __eqx_2) = skolem190(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-522, 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)) )).
% 12.29/12.51 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( skolem192(__eqx_0) = skolem192(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( skolem193(__eqx_0) = skolem193(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( skolem194(__eqx_0) = skolem194(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( skolem195(__eqx_0) = skolem195(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem196(__eqx_0, __eqx_1) = skolem196(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-528, 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)) )).
% 12.29/12.51 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( skolem198(__eqx_0) = skolem198(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem199(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem199(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem200(__eqx_0, __eqx_1, __eqx_2) = skolem200(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-532, 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)) )).
% 12.29/12.51 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( skolem202(__eqx_0) = skolem202(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem203(__eqx_0, __eqx_1, __eqx_2) = skolem203(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem204(__eqx_0, __eqx_1) = skolem204(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( skolem205(__eqx_0) = skolem205(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem206(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem206(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem207(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem207(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem208(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem208(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem209(__eqx_0, __eqx_1, __eqx_2) = skolem209(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem210(__eqx_0, __eqx_1, __eqx_2) = skolem210(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem211(__eqx_0, __eqx_1, __eqx_2) = skolem211(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-543, 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)) )).
% 12.29/12.51 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem213(__eqx_0, __eqx_1) = skolem213(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem214(__eqx_0, __eqx_1) = skolem214(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( skolem215(__eqx_0) = skolem215(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( skolem216(__eqx_0) = skolem216(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem218(__eqx_0, __eqx_1) = skolem218(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-552, 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)) )).
% 12.29/12.51 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem222(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem222(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem223(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem223(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem224(__eqx_0, __eqx_1) = skolem224(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem225(__eqx_0, __eqx_1) = skolem225(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem226(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem226(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem227(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem227(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem228(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem228(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem229(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem229(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem230(__eqx_0, __eqx_1, __eqx_2) = skolem230(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem231(__eqx_0, __eqx_1, __eqx_2) = skolem231(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-563, 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)) )).
% 12.29/12.51 cnf(matrix-564, 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)) )).
% 12.29/12.51 cnf(matrix-565, 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)) )).
% 12.29/12.51 cnf(matrix-566, 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)) )).
% 12.29/12.51 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem236(__eqx_0, __eqx_1, __eqx_2) = skolem236(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem237(__eqx_0, __eqx_1) = skolem237(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem238(__eqx_0, __eqx_1) = skolem238(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem239(__eqx_0, __eqx_1) = skolem239(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem240(__eqx_0, __eqx_1) = skolem240(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem241(__eqx_0, __eqx_1) = skolem241(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem242(__eqx_0, __eqx_1) = skolem242(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem243(__eqx_0, __eqx_1) = skolem243(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem244(__eqx_0, __eqx_1) = skolem244(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem245(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem245(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem246(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem246(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem247(__eqx_0, __eqx_1, __eqx_2) = skolem247(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-579, 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)) )).
% 12.29/12.51 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem249(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem249(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem250(__eqx_0, __eqx_1, __eqx_2) = skolem250(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem251(__eqx_0, __eqx_1, __eqx_2) = skolem251(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-583, 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)) )).
% 12.29/12.51 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem253(__eqx_0, __eqx_1, __eqx_2) = skolem253(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-585, 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)) )).
% 12.29/12.51 cnf(matrix-586, 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)) )).
% 12.29/12.51 cnf(matrix-587, 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)) )).
% 12.29/12.51 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem257(__eqx_0, __eqx_1, __eqx_2) = skolem257(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem258(__eqx_0, __eqx_1, __eqx_2) = skolem258(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-590, 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)) )).
% 12.29/12.51 cnf(matrix-591, plain, ( ( __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) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem261(__eqx_0, __eqx_1, __eqx_2) = skolem261(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem262(__eqx_0, __eqx_1, __eqx_2) = skolem262(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-594, 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)) )).
% 12.29/12.51 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem264(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem264(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem265(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem265(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-597, 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)) )).
% 12.29/12.51 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem267(__eqx_0, __eqx_1, __eqx_2) = skolem267(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem268(__eqx_0, __eqx_1, __eqx_2) = skolem268(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-600, 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)) )).
% 12.29/12.51 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem270(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem270(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-602, 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)) )).
% 12.29/12.51 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem272(__eqx_0, __eqx_1, __eqx_2) = skolem272(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem273(__eqx_0, __eqx_1) = skolem273(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem274(__eqx_0, __eqx_1, __eqx_2) = skolem274(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem275(__eqx_0, __eqx_1, __eqx_2) = skolem275(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem276(__eqx_0, __eqx_1, __eqx_2) = skolem276(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem277(__eqx_0, __eqx_1, __eqx_2) = skolem277(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem278(__eqx_0, __eqx_1, __eqx_2) = skolem278(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem279(__eqx_0, __eqx_1, __eqx_2) = skolem279(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem280(__eqx_0, __eqx_1, __eqx_2) = skolem280(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem281(__eqx_0, __eqx_1) = skolem281(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem282(__eqx_0, __eqx_1) = skolem282(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem283(__eqx_0, __eqx_1, __eqx_2) = skolem283(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem284(__eqx_0, __eqx_1, __eqx_2) = skolem284(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem285(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem285(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem286(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem286(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem287(__eqx_0, __eqx_1, __eqx_2) = skolem287(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem288(__eqx_0, __eqx_1) = skolem288(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem289(__eqx_0, __eqx_1, __eqx_2) = skolem289(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem291(__eqx_0, __eqx_1, __eqx_2) = skolem291(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem292(__eqx_0, __eqx_1, __eqx_2) = skolem292(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem293(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem293(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem294(__eqx_0, __eqx_1, __eqx_2) = skolem294(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem295(__eqx_0, __eqx_1, __eqx_2) = skolem295(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem296(__eqx_0, __eqx_1, __eqx_2) = skolem296(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem297(__eqx_0, __eqx_1) = skolem297(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem298(__eqx_0, __eqx_1, __eqx_2) = skolem298(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem299(__eqx_0, __eqx_1, __eqx_2) = skolem299(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem300(__eqx_0, __eqx_1, __eqx_2) = skolem300(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem301(__eqx_0, __eqx_1, __eqx_2) = skolem301(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem302(__eqx_0, __eqx_1, __eqx_2) = skolem302(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem303(__eqx_0, __eqx_1, __eqx_2) = skolem303(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem304(__eqx_0, __eqx_1) = skolem304(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem305(__eqx_0, __eqx_1, __eqx_2) = skolem305(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem306(__eqx_0, __eqx_1, __eqx_2) = skolem306(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem307(__eqx_0, __eqx_1, __eqx_2) = skolem307(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem308(__eqx_0, __eqx_1, __eqx_2) = skolem308(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem311(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem311(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.29/12.51 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem312(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem312(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 12.29/12.51 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) | ( __eqx_6 != __eqy_6) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 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) | ( skolem314(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem314(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem315(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem315(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( skolem316(__eqx_0) = skolem316(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( skolem317(__eqx_0) = skolem317(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( skolem318(__eqx_0) = skolem318(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( skolem319(__eqx_0) = skolem319(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem320(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem320(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem321(__eqx_0, __eqx_1, __eqx_2) = skolem321(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( skolem322(__eqx_0) = skolem322(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( skolem323(__eqx_0) = skolem323(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem324(__eqx_0, __eqx_1, __eqx_2) = skolem324(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem325(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem325(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem326(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem326(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem327(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem327(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem328(__eqx_0, __eqx_1) = skolem328(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem329(__eqx_0, __eqx_1, __eqx_2) = skolem329(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem330(__eqx_0, __eqx_1) = skolem330(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem331(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem331(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem332(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem332(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-664, 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)) )).
% 12.29/12.51 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem334(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem334(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem335(__eqx_0, __eqx_1) = skolem335(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem336(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem336(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem337(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem337(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem338(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem338(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem339(__eqx_0, __eqx_1) = skolem339(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem340(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem340(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( 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)) )).
% 12.29/12.51 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem342(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem342(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem343(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem343(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem344(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem344(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-676, 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)) )).
% 12.29/12.51 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem346(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem346(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 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) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem348(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem348(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem349(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem349(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-681, 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)) )).
% 12.29/12.51 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem351(__eqx_0, __eqx_1) = skolem351(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem352(__eqx_0, __eqx_1, __eqx_2) = skolem352(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem353(__eqx_0, __eqx_1) = skolem353(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( skolem354(__eqx_0) = skolem354(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem355(__eqx_0, __eqx_1, __eqx_2) = skolem355(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem356(__eqx_0, __eqx_1, __eqx_2) = skolem356(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem357(__eqx_0, __eqx_1) = skolem357(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( skolem358(__eqx_0) = skolem358(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-690, 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)) )).
% 12.29/12.51 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem360(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem360(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-692, 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)) )).
% 12.29/12.51 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem362(__eqx_0, __eqx_1, __eqx_2) = skolem362(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem363(__eqx_0, __eqx_1, __eqx_2) = skolem363(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem365(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem365(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem366(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem366(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem367(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem367(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem368(__eqx_0, __eqx_1) = skolem368(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem370(__eqx_0, __eqx_1) = skolem370(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem371(__eqx_0, __eqx_1, __eqx_2) = skolem371(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem372(__eqx_0, __eqx_1, __eqx_2) = skolem372(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-705, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem374(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem374(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem375(__eqx_0, __eqx_1, __eqx_2) = skolem375(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-707, plain, ( ( __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) | ( skolem376(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem376(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-708, plain, ( ( __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) | ( skolem377(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem377(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem378(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem378(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem379(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem379(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem380(__eqx_0, __eqx_1) = skolem380(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem381(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem381(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem382(__eqx_0, __eqx_1, __eqx_2) = skolem382(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem383(__eqx_0, __eqx_1, __eqx_2) = skolem383(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem384(__eqx_0, __eqx_1, __eqx_2) = skolem384(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-716, 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)) )).
% 12.29/12.51 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem386(__eqx_0, __eqx_1, __eqx_2) = skolem386(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem387(__eqx_0, __eqx_1) = skolem387(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem388(__eqx_0, __eqx_1, __eqx_2) = skolem388(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-720, 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)) )).
% 12.29/12.51 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem391(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem391(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem392(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem392(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem396(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem396(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem399(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem399(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem401(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem401(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-733, 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)) )).
% 12.29/12.51 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem403(__eqx_0, __eqx_1) = skolem403(__eqy_0, __eqy_1)) )).
% 12.29/12.51 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) | ( __eqx_6 != __eqy_6) | ( skolem404(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem404(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 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) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem406(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem406(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem407(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem407(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem408(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem408(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem409(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem409(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-741, 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)) )).
% 12.29/12.51 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem411(__eqx_0, __eqx_1) = skolem411(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem412(__eqx_0, __eqx_1) = skolem412(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem413(__eqx_0, __eqx_1, __eqx_2) = skolem413(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem414(__eqx_0, __eqx_1) = skolem414(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-747, 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)) )).
% 12.29/12.51 cnf(matrix-748, 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)) )).
% 12.29/12.51 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) | ( skolem418(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem418(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 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) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 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) | ( skolem420(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem420(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem421(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem421(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem422(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem422(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem423(__eqx_0, __eqx_1) = skolem423(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem426(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem426(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem427(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem427(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem428(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem428(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-760, 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)) )).
% 12.29/12.51 cnf(matrix-761, 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)) )).
% 12.29/12.51 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem431(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem431(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem432(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem432(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-764, 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)) )).
% 12.29/12.51 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem435(__eqx_0, __eqx_1, __eqx_2) = skolem435(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem436(__eqx_0, __eqx_1, __eqx_2) = skolem436(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem437(__eqx_0, __eqx_1, __eqx_2) = skolem437(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-769, 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)) )).
% 12.29/12.51 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem439(__eqx_0, __eqx_1, __eqx_2) = skolem439(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( skolem440(__eqx_0) = skolem440(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem441(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem441(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem442(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem442(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem443(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem443(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem444(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem444(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem445(__eqx_0, __eqx_1) = skolem445(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem446(__eqx_0, __eqx_1) = skolem446(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem447(__eqx_0, __eqx_1, __eqx_2) = skolem447(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem448(__eqx_0, __eqx_1, __eqx_2) = skolem448(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem449(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem449(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem451(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem451(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-783, 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)) )).
% 12.29/12.51 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem453(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem453(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem456(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem456(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem457(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem457(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem458(__eqx_0, __eqx_1) = skolem458(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem459(__eqx_0, __eqx_1, __eqx_2) = skolem459(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-791, 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)) )).
% 12.29/12.51 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem461(__eqx_0, __eqx_1, __eqx_2) = skolem461(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem462(__eqx_0, __eqx_1, __eqx_2) = skolem462(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-794, 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)) )).
% 12.29/12.51 cnf(matrix-795, 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)) )).
% 12.29/12.51 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem465(__eqx_0, __eqx_1, __eqx_2) = skolem465(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem466(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem466(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem467(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem467(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem468(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem468(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem469(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem469(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem470(__eqx_0, __eqx_1) = skolem470(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem471(__eqx_0, __eqx_1) = skolem471(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-803, 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)) )).
% 12.29/12.51 cnf(matrix-804, 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)) )).
% 12.29/12.51 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem474(__eqx_0, __eqx_1, __eqx_2) = skolem474(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem475(__eqx_0, __eqx_1, __eqx_2) = skolem475(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem476(__eqx_0, __eqx_1) = skolem476(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem477(__eqx_0, __eqx_1, __eqx_2) = skolem477(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem478(__eqx_0, __eqx_1, __eqx_2) = skolem478(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem479(__eqx_0, __eqx_1, __eqx_2) = skolem479(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-811, 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)) )).
% 12.29/12.51 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem481(__eqx_0, __eqx_1, __eqx_2) = skolem481(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem482(__eqx_0, __eqx_1) = skolem482(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem483(__eqx_0, __eqx_1) = skolem483(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-815, 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)) )).
% 12.29/12.51 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem485(__eqx_0, __eqx_1, __eqx_2) = skolem485(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem486(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem486(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem487(__eqx_0, __eqx_1) = skolem487(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem488(__eqx_0, __eqx_1) = skolem488(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem489(__eqx_0, __eqx_1, __eqx_2) = skolem489(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem490(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem490(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem491(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem491(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem492(__eqx_0, __eqx_1) = skolem492(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem493(__eqx_0, __eqx_1) = skolem493(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-825, 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)) )).
% 12.29/12.51 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem495(__eqx_0, __eqx_1) = skolem495(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem496(__eqx_0, __eqx_1) = skolem496(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem497(__eqx_0, __eqx_1) = skolem497(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-829, plain, ( ( __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) | ( skolem498(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem498(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem499(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem499(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem500(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem500(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem501(__eqx_0, __eqx_1) = skolem501(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem502(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem502(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-834, 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)) )).
% 12.29/12.51 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem504(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem504(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem505(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem505(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem506(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem506(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem507(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem507(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem508(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem508(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem509(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem509(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem510(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem510(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem511(__eqx_0, __eqx_1, __eqx_2) = skolem511(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem512(__eqx_0, __eqx_1, __eqx_2) = skolem512(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-844, 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)) )).
% 12.29/12.51 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem514(__eqx_0, __eqx_1, __eqx_2) = skolem514(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem515(__eqx_0, __eqx_1, __eqx_2) = skolem515(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem516(__eqx_0, __eqx_1, __eqx_2) = skolem516(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem517(__eqx_0, __eqx_1, __eqx_2) = skolem517(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem518(__eqx_0, __eqx_1, __eqx_2) = skolem518(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-850, 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)) )).
% 12.29/12.51 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem520(__eqx_0, __eqx_1, __eqx_2) = skolem520(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-852, 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)) )).
% 12.29/12.51 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem522(__eqx_0, __eqx_1, __eqx_2) = skolem522(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem523(__eqx_0, __eqx_1, __eqx_2) = skolem523(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem524(__eqx_0, __eqx_1, __eqx_2) = skolem524(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem525(__eqx_0, __eqx_1, __eqx_2) = skolem525(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-857, 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)) )).
% 12.29/12.51 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem527(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem527(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem528(__eqx_0, __eqx_1, __eqx_2) = skolem528(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem529(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem529(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem530(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem530(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-862, 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)) )).
% 12.29/12.51 cnf(matrix-863, 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)) )).
% 12.29/12.51 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem533(__eqx_0, __eqx_1, __eqx_2) = skolem533(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem534(__eqx_0, __eqx_1, __eqx_2) = skolem534(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem535(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem535(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem536(__eqx_0, __eqx_1, __eqx_2) = skolem536(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem537(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem537(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem538(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem538(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem539(__eqx_0, __eqx_1, __eqx_2) = skolem539(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem540(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem540(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem541(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem541(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem542(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem542(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem543(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem543(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem544(__eqx_0, __eqx_1) = skolem544(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem545(__eqx_0, __eqx_1, __eqx_2) = skolem545(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem546(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem546(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem547(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem547(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem548(__eqx_0, __eqx_1) = skolem548(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem549(__eqx_0, __eqx_1) = skolem549(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem550(__eqx_0, __eqx_1) = skolem550(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ( skolem551(__eqx_0) = skolem551(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem552(__eqx_0, __eqx_1) = skolem552(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-884, 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)) )).
% 12.29/12.51 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem554(__eqx_0, __eqx_1, __eqx_2) = skolem554(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem555(__eqx_0, __eqx_1, __eqx_2) = skolem555(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem556(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem556(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem557(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem557(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem558(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem558(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem559(__eqx_0, __eqx_1) = skolem559(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem560(__eqx_0, __eqx_1) = skolem560(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem561(__eqx_0, __eqx_1) = skolem561(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem562(__eqx_0, __eqx_1) = skolem562(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem563(__eqx_0, __eqx_1) = skolem563(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( skolem564(__eqx_0) = skolem564(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( skolem565(__eqx_0) = skolem565(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( skolem566(__eqx_0) = skolem566(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( skolem567(__eqx_0) = skolem567(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( skolem568(__eqx_0) = skolem568(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem569(__eqx_0, __eqx_1) = skolem569(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem570(__eqx_0, __eqx_1) = skolem570(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem571(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem571(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem572(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem572(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem573(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem573(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ( skolem574(__eqx_0) = skolem574(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem575(__eqx_0, __eqx_1) = skolem575(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ( skolem576(__eqx_0) = skolem576(__eqy_0)) )).
% 12.29/12.51 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem577(__eqx_0, __eqx_1) = skolem577(__eqy_0, __eqy_1)) )).
% 12.29/12.51 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem578(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem578(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem579(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem579(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem580(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem580(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.29/12.51 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem581(__eqx_0, __eqx_1, __eqx_2) = skolem581(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem582(__eqx_0, __eqx_1, __eqx_2) = skolem582(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem583(__eqx_0, __eqx_1, __eqx_2) = skolem583(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem584(__eqx_0, __eqx_1, __eqx_2) = skolem584(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-916, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem585(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem585(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem586(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem586(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem587(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem587(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem588(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem588(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem589(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem589(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem590(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem590(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem591(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem591(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-923, plain, ( ( __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) | ( skolem592(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem592(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem593(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem593(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-925, plain, ( ( __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) | ( skolem594(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem594(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-926, plain, ( ( __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) | ( skolem595(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem595(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-927, plain, ( ( __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) | ( skolem596(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem596(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 12.29/12.51 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem597(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem597(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem598(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem598(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem599(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem599(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem600(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem600(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.29/12.51 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem601(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem601(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem602(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem602(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.29/12.51 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem603(__eqx_0, __eqx_1, __eqx_2) = skolem603(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-935, plain, ( ( __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) | ( skolem604(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem604(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 12.29/12.51 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem605(__eqx_0, __eqx_1, __eqx_2) = skolem605(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem606(__eqx_0, __eqx_1, __eqx_2) = skolem606(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem607(__eqx_0, __eqx_1, __eqx_2) = skolem607(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.29/12.51 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.29/12.51 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__derivs(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__derivs(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.29/12.51 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 12.29/12.51 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.29/12.51 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.29/12.51 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 12.29/12.51 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 12.29/12.51 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Predicate_Oinv__imagep(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Predicate_Oinv__imagep(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.29/12.51 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oorder__class_Ostrict__mono(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oorder__class_Ostrict__mono(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 12.29/12.51 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 12.29/12.51 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 12.29/12.51 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.29/12.51 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 12.29/12.51 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 12.29/12.51 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 12.29/12.51 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.29/12.51 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 12.29/12.51 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oorder__class_Omono(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oorder__class_Omono(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.29/12.51 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 12.29/12.51 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 12.29/12.51 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.29/12.51 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Partial__Function_Omk__less(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Partial__Function_Omk__less(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.29/12.51 cnf(matrix-970, 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) )).
% 12.29/12.51 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.29/12.51 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.29/12.51 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 12.29/12.51 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.29/12.51 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.29/12.51 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Finite__Set_Ofolding__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Finite__Set_Ofolding__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.29/12.51 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Big__Operators_Osemilattice__big(__eqx_0, __eqx_1, __eqx_2) | c_Big__Operators_Osemilattice__big(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Big__Operators_Ocomm__monoid__big(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Big__Operators_Ocomm__monoid__big(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.29/12.51 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.29/12.51 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.29/12.51 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.29/12.51 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.29/12.51 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.29/12.51 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.29/12.51 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.29/12.51 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.29/12.51 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 12.29/12.51 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 12.29/12.51 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1015, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1016, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1018, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1021, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1022, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1023, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1024, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1025, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Nat__Transfer_Otransfer__morphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Nat__Transfer_Otransfer__morphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1027, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1028, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1029, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1032, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1033, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1034, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1036, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1037, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1038, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1039, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1040, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1041, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1042, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1043, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 12.29/12.51 cnf(matrix-1044, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1045, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Orefl_H(__eqx_0, __eqx_1) | c_Nitpick_Orefl_H(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1046, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1047, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-1048, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-1049, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Equiv__Relations_Ocongruent2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Equiv__Relations_Ocongruent2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.29/12.51 cnf(matrix-1050, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Oequivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Oequivp(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1051, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Wellfounded_Omax__extp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Wellfounded_Omax__extp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.51 cnf(matrix-1052, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Oreduction__pair(__eqx_0, __eqx_1) | c_FunDef_Oreduction__pair(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1053, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Typedef_Otype__definition(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Typedef_Otype__definition(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.29/12.51 cnf(matrix-1054, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1055, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.51 cnf(matrix-1056, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1057, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1058, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 12.29/12.51 cnf(matrix-1059, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Owf_H(__eqx_0, __eqx_1) | c_Nitpick_Owf_H(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1060, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1061, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1062, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Ototal__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Ototal__on(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1063, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1064, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.29/12.52 cnf(matrix-1065, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1066, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1067, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__eq__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__eq__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1068, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_List_Olistrelp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_List_Olistrelp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.29/12.52 cnf(matrix-1069, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1070, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1071, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_List_Olist__all2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_List_Olist__all2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.29/12.52 cnf(matrix-1072, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Olinorder__class_Osorted(__eqx_0, __eqx_1) | c_List_Olinorder__class_Osorted(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1073, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1074, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__all(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__all(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1075, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex1(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex1(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1076, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Ois__measure(__eqx_0, __eqx_1) | c_FunDef_Ois__measure(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1077, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1078, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1079, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__int(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__int(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1080, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1081, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1082, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1083, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1084, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 12.29/12.52 cnf(matrix-1085, 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) )).
% 12.29/12.52 cnf(matrix-1086, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__nat(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__nat(__eqy_0, __eqy_1, __eqy_2) )).
% 12.29/12.52 cnf(matrix-1087, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1088, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1089, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.29/12.52 cnf(matrix-1090, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.29/12.52 cnf(matrix-1091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool)), _u4), _u5)) | c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u5, _u4) )).
% 12.29/12.52 cnf(matrix-1092, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u6, _u7, _u8) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u6), tc_HOL_Obool)), _u9), _u8)) | c_Hoare__Mirabelle_Ohoare__derivs(_u6, _u7, _u9) )).
% 12.29/12.52 cnf(matrix-1093, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u11, _u12) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u13, _u11) | c_Hoare__Mirabelle_Ohoare__derivs(_u10, _u13, _u12) )).
% 12.29/12.52 cnf(matrix-1094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14, tc_HOL_Obool)), _u15), _u16)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14, tc_HOL_Obool)), _u16), _u15)) | ( _u15 = _u16) )).
% 12.29/12.52 cnf(matrix-1095, plain, ( ~class_Orderings_Opreorder(_u17) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17), _u18), _u18)) )).
% 12.29/12.52 cnf(matrix-1096, plain, ( ~class_Orderings_Oord(_u21) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u22, _u21)), _u23), _u24)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u21), hAPP(_u23, _u19)), hAPP(_u24, _u19))) )).
% 12.29/12.52 cnf(matrix-1097, plain, ( ~class_Orderings_Oord(_u21) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u21), hAPP(_u23, skolem2(_u24, _u23, _u22, _u21))), hAPP(_u24, skolem2(_u24, _u23, _u22, _u21)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u22, _u21)), _u23), _u24)) )).
% 12.29/12.52 cnf(matrix-1098, plain, ( ~class_Orderings_Oord(_u25) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u26, _u25)), _u27), _u28)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u25), hAPP(_u27, _u29)), hAPP(_u28, _u29))) )).
% 12.29/12.52 cnf(matrix-1099, plain, ( ~class_Orderings_Oord(_u30) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u31, _u30)), _u32), _u33)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u30), hAPP(_u32, _u34)), hAPP(_u33, _u34))) )).
% 12.29/12.52 cnf(matrix-1100, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u35, tc_HOL_Obool)), _u36), _u36)) )).
% 12.29/12.52 cnf(matrix-1101, plain, ( ( _u40 != _u42) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u44, tc_HOL_Obool)), _u40), _u42)) )).
% 12.29/12.52 cnf(matrix-1102, plain, ( ( _u40 != _u42) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u44, tc_HOL_Obool)), _u42), _u40)) )).
% 12.29/12.52 cnf(matrix-1103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u45, tc_HOL_Obool)), _u41), _u43)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u45, tc_HOL_Obool)), _u43), _u41)) | ( _u41 = _u43) )).
% 12.29/12.52 cnf(matrix-1104, plain, ( ~hBOOL(hAPP(_u46, _u47)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u46), _u49)) | hBOOL(hAPP(_u49, _u47)) )).
% 12.29/12.52 cnf(matrix-1105, plain, ( ( _u50 != _u51) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u52, tc_HOL_Obool)), _u50), _u51)) )).
% 12.29/12.52 cnf(matrix-1106, plain, ( ( _u53 != _u54) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u55, tc_HOL_Obool)), _u54), _u53)) )).
% 12.29/12.52 cnf(matrix-1107, plain, ( ~hBOOL(hAPP(_u57, _u59)) | hBOOL(hAPP(_u58, _u59)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u56, tc_HOL_Obool)), _u57), _u58)) )).
% 12.29/12.52 cnf(matrix-1108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u60, tc_HOL_Obool)), _u61), _u62)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u60, tc_HOL_Obool)), _u62), _u63)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u60, tc_HOL_Obool)), _u61), _u63)) )).
% 12.29/12.52 cnf(matrix-1109, plain, ( ~class_Orderings_Olinorder(_u64) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u64), _u65), _u66)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u64), _u66), _u65)) )).
% 12.29/12.52 cnf(matrix-1110, plain, ( ~class_Orderings_Oorder(_u67) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u67), _u68), _u69)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u67), _u70), _u68)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u67), _u70), _u69)) )).
% 12.29/12.52 cnf(matrix-1111, plain, ( ~class_Orderings_Oorder(_u71) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u71), _u72), _u73)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u71), _u73), _u72)) | ( _u73 = _u72) )).
% 12.29/12.52 cnf(matrix-1112, plain, ( ~class_Orderings_Opreorder(_u74) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u74), _u75), _u76)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u74), _u76), _u77)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u74), _u75), _u77)) )).
% 12.29/12.52 cnf(matrix-1113, plain, ( ~class_Orderings_Oorder(_u78) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u78), _u79), _u80)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u78), _u80), _u79)) | ( _u79 = _u80) )).
% 12.29/12.52 cnf(matrix-1114, plain, ( ~class_Orderings_Oorder(_u81) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u81), _u82), _u83)) | ( _u82 != _u84) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u81), _u84), _u83)) )).
% 12.29/12.52 cnf(matrix-1115, plain, ( ~class_Orderings_Oord(_u85) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u85), _u86), _u87)) | ( _u87 != _u88) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u85), _u86), _u88)) )).
% 12.29/12.52 cnf(matrix-1116, plain, ( ~class_Orderings_Oorder(_u89) | ( _u90 != _u91) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u89), _u92), _u91)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u89), _u92), _u90)) )).
% 12.29/12.52 cnf(matrix-1117, plain, ( ~class_Orderings_Oord(_u93) | ( _u94 != _u95) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u95), _u96)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u94), _u96)) )).
% 12.29/12.52 cnf(matrix-1118, plain, ( ~class_Orderings_Oorder(_u97) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u98), _u99)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u99), _u98)) | ( _u99 = _u98) )).
% 12.29/12.52 cnf(matrix-1119, plain, ( ~class_Orderings_Oorder(_u97) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u98), _u99)) | ( _u99 != _u98) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u97), _u99), _u98)) )).
% 12.29/12.52 cnf(matrix-1120, plain, ( ~class_Orderings_Opreorder(_u100) | ( _u101 != _u102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u100), _u101), _u102)) )).
% 12.29/12.52 cnf(matrix-1121, plain, ( ~class_Orderings_Oorder(_u103) | ( _u104 != _u105) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u105)) )).
% 12.29/12.52 cnf(matrix-1122, plain, ( ~class_Orderings_Oorder(_u103) | ( _u104 != _u105) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u105), _u104)) )).
% 12.29/12.52 cnf(matrix-1123, plain, ( ~class_Orderings_Oorder(_u103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u105), _u104)) | ( _u104 = _u105) )).
% 12.29/12.52 cnf(matrix-1124, plain, ( ~class_Orderings_Olinorder(_u106) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u107), _u108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u106), _u108), _u107)) )).
% 12.29/12.52 cnf(matrix-1125, plain, ( ( _u109 != _u110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u111, tc_HOL_Obool)), _u109), _u110)) )).
% 12.29/12.52 cnf(matrix-1126, plain, ( ( _u109 != _u110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u111, tc_HOL_Obool)), _u110), _u109)) )).
% 12.29/12.52 cnf(matrix-1127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u112, tc_HOL_Obool)), _u113), _u114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u112, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u112, _u113)), c_Predicate_OPowp(_u112, _u114))) )).
% 12.29/12.52 cnf(matrix-1128, plain, ( ~class_Orderings_Oorder(_u115) | ~class_Enum_Oenum(_u116) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u116, _u115)), _u117), _u118)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u116), hAPP(hAPP(c_COMBS(_u116, _u115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u115, tc_fun(_u115, tc_HOL_Obool), _u116), c_Orderings_Oord__class_Oless__eq(_u115)), _u117)), _u118))) )).
% 12.29/12.52 cnf(matrix-1129, plain, ( ~class_Orderings_Oorder(_u115) | ~class_Enum_Oenum(_u116) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u116), hAPP(hAPP(c_COMBS(_u116, _u115, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u115, tc_fun(_u115, tc_HOL_Obool), _u116), c_Orderings_Oord__class_Oless__eq(_u115)), _u117)), _u118))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u116, _u115)), _u117), _u118)) )).
% 12.29/12.52 cnf(matrix-1130, plain, ( ~class_Orderings_Owellorder(_u119) | ~hBOOL(hAPP(_u120, _u121)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u119), c_Orderings_Oord__class_OLeast(_u119, _u120)), _u121)) )).
% 12.29/12.52 cnf(matrix-1131, plain, ( ~class_Orderings_Oord(_u123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u123), hAPP(_u124, skolem3(_u126, _u125, _u124, _u123))), hAPP(_u125, skolem3(_u126, _u125, _u124, _u123)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u126, _u123)), _u124), _u125)) )).
% 12.29/12.52 cnf(matrix-1132, plain, ( hBOOL(hAPP(hAPP(_u137, hAPP(_u139, _u141)), hAPP(_u139, _u143))) | ~c_Predicate_Oinv__imagep(_u133, _u135, _u137, _u139, _u141, _u143) )).
% 12.29/12.52 cnf(matrix-1133, plain, ( ~hBOOL(hAPP(hAPP(_u138, hAPP(_u140, _u142)), hAPP(_u140, _u144))) | c_Predicate_Oinv__imagep(_u134, _u136, _u138, _u140, _u142, _u144) )).
% 12.29/12.52 cnf(matrix-1134, plain, ( ~class_Orderings_Oorder(_u145) | ~class_Orderings_Olinorder(_u146) | ~c_Orderings_Oorder__class_Ostrict__mono(_u146, _u145, _u147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u145), hAPP(_u147, _u148)), hAPP(_u147, _u149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u146), _u148), _u149)) )).
% 12.29/12.52 cnf(matrix-1135, plain, ( ~class_Orderings_Oorder(_u145) | ~class_Orderings_Olinorder(_u146) | ~c_Orderings_Oorder__class_Ostrict__mono(_u146, _u145, _u147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u146), _u148), _u149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u145), hAPP(_u147, _u148)), hAPP(_u147, _u149))) )).
% 12.29/12.52 cnf(matrix-1136, plain, ( ~class_Orderings_Olinorder(_u150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u150, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u151)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u152))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u150), _u152), _u151)) )).
% 12.29/12.52 cnf(matrix-1137, plain, ( ~class_Orderings_Olinorder(_u150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u150), _u152), _u151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u150, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u151)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u150), _u152))) )).
% 12.29/12.52 cnf(matrix-1138, plain, ( ~class_Orderings_Olinorder(_u153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u153, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u154)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u155))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u153), _u154), _u155)) )).
% 12.29/12.52 cnf(matrix-1139, plain, ( ~class_Orderings_Olinorder(_u153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u153), _u154), _u155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u153, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u154)), hAPP(c_SetInterval_Oord__class_OlessThan(_u153), _u155))) )).
% 12.29/12.52 cnf(matrix-1140, plain, ( ~class_Orderings_Oorder(_u156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u156, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u157)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u156), _u158), _u157)) )).
% 12.29/12.52 cnf(matrix-1141, plain, ( ~class_Orderings_Oorder(_u156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u156), _u158), _u157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u156, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u157)), hAPP(c_SetInterval_Oord__class_OatLeast(_u156), _u158))) )).
% 12.29/12.52 cnf(matrix-1142, plain, ( ~class_Orderings_Oorder(_u159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u160)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u161))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u159), _u160), _u161)) )).
% 12.29/12.52 cnf(matrix-1143, plain, ( ~class_Orderings_Oorder(_u159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u159), _u160), _u161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u159, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u160)), hAPP(c_SetInterval_Oord__class_OatMost(_u159), _u161))) )).
% 12.29/12.52 cnf(matrix-1144, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u163, tc_HOL_Obool)), _u164), _u165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u162), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u163, _u162), _u164), _u166)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u163, _u162), _u165), _u166))) )).
% 12.29/12.52 cnf(matrix-1145, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u167) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u168, tc_HOL_Obool)), _u169), _u170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u167), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u168, _u167), _u170), _u171)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u168, _u167), _u169), _u171))) )).
% 12.29/12.52 cnf(matrix-1146, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u172) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u173, tc_fun(_u174, _u172)), _u175), _u176), _u177) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u173, _u172), _u175), hAPP(hAPP(c_COMBC(_u173, _u174, _u172), _u176), _u177))) )).
% 12.29/12.52 cnf(matrix-1147, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u178) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u179, tc_fun(_u180, _u178)), _u181), _u182), _u183) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u179, _u178), _u181), hAPP(hAPP(c_COMBC(_u179, _u180, _u178), _u182), _u183))) )).
% 12.29/12.52 cnf(matrix-1148, plain, ( ~class_Orderings_Olinorder(_u184) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u185) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u186)) | ( _u185 = _u186) )).
% 12.29/12.52 cnf(matrix-1149, plain, ( ~class_Orderings_Olinorder(_u184) | ( _u185 != _u186) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u185) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u184), _u186)) )).
% 12.29/12.52 cnf(matrix-1150, plain, ( ~class_Orderings_Olinorder(_u187) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u188) != hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u189)) | ( _u188 = _u189) )).
% 12.29/12.52 cnf(matrix-1151, plain, ( ~class_Orderings_Olinorder(_u187) | ( _u188 != _u189) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u188) = hAPP(c_SetInterval_Oord__class_OlessThan(_u187), _u189)) )).
% 12.29/12.52 cnf(matrix-1152, plain, ( ~class_Orderings_Olinorder(_u190) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u191) != hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u192)) | ( _u191 = _u192) )).
% 12.29/12.52 cnf(matrix-1153, plain, ( ~class_Orderings_Olinorder(_u190) | ( _u191 != _u192) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u191) = hAPP(c_SetInterval_Oord__class_OatLeast(_u190), _u192)) )).
% 12.29/12.52 cnf(matrix-1154, plain, ( ~class_Orderings_Olinorder(_u193) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u194) != hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u195)) | ( _u194 = _u195) )).
% 12.29/12.52 cnf(matrix-1155, plain, ( ~class_Orderings_Olinorder(_u193) | ( _u194 != _u195) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u194) = hAPP(c_SetInterval_Oord__class_OatMost(_u193), _u195)) )).
% 12.29/12.52 cnf(matrix-1156, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u196) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u197, _u196), _u198), hAPP(hAPP(c_COMBB(tc_fun(_u199, _u196), _u196, _u197), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u199, _u196), _u200)), _u201)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u199, _u196), _u200), hAPP(hAPP(c_COMBB(tc_fun(_u197, _u196), _u196, _u199), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u197, _u196), _u198)), hAPP(c_COMBC(_u197, _u199, _u196), _u201)))) )).
% 12.29/12.52 cnf(matrix-1157, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u202) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u203, _u202), _u204), hAPP(hAPP(c_COMBB(tc_fun(_u205, _u202), _u202, _u203), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u205, _u202), _u206)), _u207)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u205, _u202), _u206), hAPP(hAPP(c_COMBB(tc_fun(_u203, _u202), _u202, _u205), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u203, _u202), _u204)), hAPP(c_COMBC(_u203, _u205, _u202), _u207)))) )).
% 12.29/12.52 cnf(matrix-1158, plain, ( ~class_Enum_Oenum(_u210) | ~hBOOL(hAPP(_u211, skolem4(_u211, _u210))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u210), _u211)) )).
% 12.29/12.52 cnf(matrix-1159, plain, ( ~class_Enum_Oenum(_u210) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u210), _u211)) | hBOOL(hAPP(_u211, _u209)) )).
% 12.29/12.52 cnf(matrix-1160, plain, ( ~class_Enum_Oenum(_u214) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u214), _u215)) | hBOOL(hAPP(_u215, _u212)) )).
% 12.29/12.52 cnf(matrix-1161, plain, ( ~class_Enum_Oenum(_u214) | ~hBOOL(hAPP(_u215, skolem5(_u215, _u214))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u214), _u215)) )).
% 12.29/12.52 cnf(matrix-1162, plain, ( ~class_Orderings_Owellorder(_u217) | ~hBOOL(hAPP(_u218, _u216)) | hBOOL(hAPP(_u218, c_Orderings_Oord__class_OLeast(_u217, _u218))) )).
% 12.29/12.52 cnf(matrix-1163, plain, ( ~class_Orderings_Oorder(_u219) | ~class_Orderings_Olinorder(_u220) | ~c_Orderings_Oorder__class_Ostrict__mono(_u220, _u219, _u221) | ( hAPP(_u221, _u222) != hAPP(_u221, _u223)) | ( _u222 = _u223) )).
% 12.29/12.52 cnf(matrix-1164, plain, ( ~class_Orderings_Oorder(_u219) | ~class_Orderings_Olinorder(_u220) | ~c_Orderings_Oorder__class_Ostrict__mono(_u220, _u219, _u221) | ( _u222 != _u223) | ( hAPP(_u221, _u222) = hAPP(_u221, _u223)) )).
% 12.29/12.52 cnf(matrix-1165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u231, tc_HOL_Obool)), _u233), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u235, tc_fun(_u231, tc_HOL_Obool)), _u237), _u239))) | ~hBOOL(hAPP(hAPP(c_member(_u235), _u224), _u237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u231, tc_HOL_Obool)), _u233), hAPP(_u239, _u224))) )).
% 12.29/12.52 cnf(matrix-1166, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u232, tc_HOL_Obool)), _u234), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u236, tc_fun(_u232, tc_HOL_Obool)), _u238), _u240))) | hBOOL(hAPP(hAPP(c_member(_u236), skolem6(_u240, _u238, _u236, _u234, _u232)), _u238)) )).
% 12.29/12.52 cnf(matrix-1167, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u232, tc_HOL_Obool)), _u234), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u236, tc_fun(_u232, tc_HOL_Obool)), _u238), _u240))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u232, tc_HOL_Obool)), _u234), hAPP(_u240, skolem6(_u240, _u238, _u236, _u234, _u232)))) )).
% 12.29/12.52 cnf(matrix-1168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u248, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u250, tc_fun(_u248, tc_HOL_Obool)), _u252), _u254)), _u256)) | ~hBOOL(hAPP(hAPP(c_member(_u250), _u241), _u252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u248, tc_HOL_Obool)), hAPP(_u254, _u241)), _u256)) )).
% 12.29/12.52 cnf(matrix-1169, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u249, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u251, tc_fun(_u249, tc_HOL_Obool)), _u253), _u255)), _u257)) | hBOOL(hAPP(hAPP(c_member(_u251), skolem7(_u257, _u255, _u253, _u251, _u249)), _u253)) )).
% 12.29/12.52 cnf(matrix-1170, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u249, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u251, tc_fun(_u249, tc_HOL_Obool)), _u253), _u255)), _u257)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u249, tc_HOL_Obool)), hAPP(_u255, skolem7(_u257, _u255, _u253, _u251, _u249))), _u257)) )).
% 12.29/12.52 cnf(matrix-1171, plain, ( ~class_Orderings_Owellorder(_u258) | ~hBOOL(hAPP(_u259, _u260)) | hBOOL(hAPP(_u259, c_Orderings_Oord__class_OLeast(_u258, _u259))) )).
% 12.29/12.52 cnf(matrix-1172, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u265, _u263), _u266), _u267))) | ~hBOOL(hAPP(hAPP(c_member(_u265), _u261), _u266)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(_u267, _u261))) )).
% 12.29/12.52 cnf(matrix-1173, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u263) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u265, _u263), _u266), _u267))) | hBOOL(hAPP(hAPP(c_member(_u265), skolem8(_u267, _u266, _u265, _u264, _u263)), _u266)) )).
% 12.29/12.52 cnf(matrix-1174, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u263) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u265, _u263), _u266), _u267))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u263), _u264), hAPP(_u267, skolem8(_u267, _u266, _u265, _u264, _u263)))) )).
% 12.29/12.52 cnf(matrix-1175, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u271, _u270), _u272), _u273)), _u274)) | ~hBOOL(hAPP(hAPP(c_member(_u271), _u268), _u272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(_u273, _u268)), _u274)) )).
% 12.29/12.52 cnf(matrix-1176, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u270) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u271, _u270), _u272), _u273)), _u274)) | hBOOL(hAPP(hAPP(c_member(_u271), skolem9(_u274, _u273, _u272, _u271, _u270)), _u272)) )).
% 12.29/12.52 cnf(matrix-1177, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u270) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u271, _u270), _u272), _u273)), _u274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u270), hAPP(_u273, skolem9(_u274, _u273, _u272, _u271, _u270))), _u274)) )).
% 12.29/12.52 cnf(matrix-1178, plain, ( hBOOL(hAPP(hAPP(_u285, hAPP(_u287, _u289)), hAPP(_u287, _u291))) | ~c_Predicate_Oinv__imagep(_u281, _u283, _u285, _u287, _u289, _u291) )).
% 12.29/12.52 cnf(matrix-1179, plain, ( ~hBOOL(hAPP(hAPP(_u286, hAPP(_u288, _u290)), hAPP(_u288, _u292))) | c_Predicate_Oinv__imagep(_u282, _u284, _u286, _u288, _u290, _u292) )).
% 12.29/12.52 cnf(matrix-1180, plain, ( ~class_Orderings_Oorder(_u294) | ~hBOOL(hAPP(_u295, _u296)) | ( c_Orderings_Oord__class_OLeast(_u294, _u295) = _u296) | hBOOL(hAPP(_u295, skolem10(_u296, _u295, _u294))) )).
% 12.29/12.52 cnf(matrix-1181, plain, ( ~class_Orderings_Oorder(_u294) | ~hBOOL(hAPP(_u295, _u296)) | ( c_Orderings_Oord__class_OLeast(_u294, _u295) = _u296) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u294), _u296), skolem10(_u296, _u295, _u294))) )).
% 12.29/12.52 cnf(matrix-1182, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u297, tc_HOL_Obool)), _u298), _u299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u297, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u297), _u298)), hAPP(c_Set_OPow(_u297), _u299))) )).
% 12.29/12.52 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u300, tc_HOL_Obool), tc_HOL_Obool)), _u301), _u302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u300, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u300, tc_HOL_Obool), _u302)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u300, tc_HOL_Obool), _u301))) )).
% 12.29/12.52 cnf(matrix-1184, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u303) | ~hBOOL(hAPP(hAPP(c_member(_u304), _u305), _u306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u303), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u304, _u303), _u306), _u307)), hAPP(_u307, _u305))) )).
% 12.29/12.52 cnf(matrix-1185, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u308) | ~hBOOL(hAPP(hAPP(c_member(_u309), _u310), _u311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u308), hAPP(_u312, _u310)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u309, _u308), _u311), _u312))) )).
% 12.29/12.52 cnf(matrix-1186, plain, ( ~class_Orderings_Olinorder(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u314), _u315)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u316), _u317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u316), _u314)) )).
% 12.29/12.52 cnf(matrix-1187, plain, ( ~class_Orderings_Olinorder(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u313, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u314), _u315)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u313, _u316), _u317))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u317)) )).
% 12.29/12.52 cnf(matrix-1188, plain, ( ~class_Orderings_Olinorder(_u318) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u318, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u318), _u319)) = hAPP(c_SetInterval_Oord__class_OatMost(_u318), _u319)) )).
% 12.29/12.52 cnf(matrix-1189, plain, ( ~class_Orderings_Olinorder(_u320) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u320, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u320), _u321)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u320), _u321)) )).
% 12.29/12.52 cnf(matrix-1190, plain, ( ~class_Orderings_Oorder(_u322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u323), _u324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u325), _u323)) )).
% 12.29/12.52 cnf(matrix-1191, plain, ( ~class_Orderings_Oorder(_u322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u323), _u324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u324), _u326)) )).
% 12.29/12.52 cnf(matrix-1192, plain, ( ~class_Orderings_Oorder(_u322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u323), _u324)) )).
% 12.29/12.52 cnf(matrix-1193, plain, ( ~class_Orderings_Oorder(_u322) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u322, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u323, _u324)), c_SetInterval_Oord__class_OatLeastAtMost(_u322, _u325, _u326))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u325), _u323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u322), _u324), _u326)) )).
% 12.29/12.52 cnf(matrix-1194, plain, ( ~class_Orderings_Olinorder(_u327) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u327, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u327), _u328)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u327), _u328)) )).
% 12.29/12.52 cnf(matrix-1195, plain, ( ~class_Orderings_Olinorder(_u329) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u329, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u329), _u330)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u329), _u330)) )).
% 12.29/12.52 cnf(matrix-1196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u331, tc_HOL_Obool), tc_HOL_Obool)), _u332), _u333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u331, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u331, tc_HOL_Obool), _u332)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u331, tc_HOL_Obool), _u333))) )).
% 12.29/12.52 cnf(matrix-1197, plain, ( ( _u334 != _u335) | hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u334)) | ~hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u335)) )).
% 12.29/12.52 cnf(matrix-1198, plain, ( ( _u334 != _u335) | hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u335)) | ~hBOOL(hAPP(hAPP(c_member(_u336), _u337), _u334)) )).
% 12.29/12.52 cnf(matrix-1199, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u338, tc_fun(_u339, tc_fun(_u340, tc_HOL_Obool))), _u341), _u342), _u343), _u344)) | hBOOL(hAPP(hAPP(hAPP(_u342, _u345), _u343), _u344)) | ~hBOOL(hAPP(hAPP(c_member(_u338), _u345), _u341)) )).
% 12.29/12.52 cnf(matrix-1200, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u346, tc_fun(_u347, tc_fun(_u348, tc_HOL_Obool))), _u349), _u350), _u351), _u352)) | ~hBOOL(hAPP(hAPP(c_member(_u346), _u353), _u349)) | hBOOL(hAPP(hAPP(hAPP(_u350, _u353), _u351), _u352)) )).
% 12.29/12.52 cnf(matrix-1201, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u354), _u355), _u356)) | ~hBOOL(hAPP(hAPP(hAPP(_u357, _u355), _u358), _u359)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u354, tc_fun(_u360, tc_fun(_u361, tc_HOL_Obool))), _u356), _u357), _u358), _u359)) )).
% 12.29/12.52 cnf(matrix-1202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u362, tc_HOL_Obool)), _u363), _u364)) | ~hBOOL(hAPP(hAPP(c_member(_u362), _u365), _u363)) | hBOOL(hAPP(hAPP(c_member(_u362), _u365), _u364)) )).
% 12.29/12.52 cnf(matrix-1203, plain, ( hBOOL(hAPP(hAPP(c_member(_u366), _u367), _u368)) | hBOOL(hAPP(hAPP(c_member(_u366), _u367), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u366, tc_HOL_Obool)), _u368))) )).
% 12.29/12.52 cnf(matrix-1204, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u369, tc_HOL_Obool)), _u370), _u371)) | ~hBOOL(hAPP(hAPP(c_member(_u369), _u372), _u370)) | hBOOL(hAPP(hAPP(c_member(_u369), _u372), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u369, tc_HOL_Obool), _u371))) )).
% 12.29/12.52 cnf(matrix-1205, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u373), _u374), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u373, tc_HOL_Obool), _u375))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u373, tc_HOL_Obool)), _u376), _u375)) | hBOOL(hAPP(hAPP(c_member(_u373), _u374), _u376)) )).
% 12.29/12.52 cnf(matrix-1206, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u377), _u378), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u377, tc_HOL_Obool), _u379))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u377, tc_HOL_Obool)), _u380), _u379)) | hBOOL(hAPP(hAPP(c_member(_u377), _u378), _u380)) )).
% 12.29/12.52 cnf(matrix-1207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u381, tc_HOL_Obool)), _u382), _u383)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u381, tc_HOL_Obool)), _u382), hAPP(c_Set_OPow(_u381), _u383))) )).
% 12.29/12.52 cnf(matrix-1208, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u384), _u385), _u386)) | ~hBOOL(hAPP(hAPP(c_member(_u387), _u388), hAPP(_u389, _u385))) | hBOOL(hAPP(hAPP(c_member(_u387), _u388), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u384, tc_fun(_u387, tc_HOL_Obool)), _u386), _u389))) )).
% 12.29/12.52 cnf(matrix-1209, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u390), _u391), _u392)) | ~hBOOL(hAPP(hAPP(_u393, _u391), _u394)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u390, tc_fun(_u395, tc_HOL_Obool)), _u392), _u393), _u394)) )).
% 12.29/12.52 cnf(matrix-1210, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u396), _u397), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u398, tc_fun(_u396, tc_HOL_Obool)), _u399), _u400))) | ~hBOOL(hAPP(hAPP(c_member(_u398), _u401), _u399)) | hBOOL(hAPP(hAPP(c_member(_u396), _u397), hAPP(_u400, _u401))) )).
% 12.29/12.52 cnf(matrix-1211, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u402), _u403), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u404, tc_fun(_u402, tc_HOL_Obool)), _u405), _u406))) | hBOOL(hAPP(hAPP(c_member(_u402), _u403), hAPP(_u406, _u407))) | ~hBOOL(hAPP(hAPP(c_member(_u404), _u407), _u405)) )).
% 12.29/12.52 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u408, tc_fun(_u409, tc_HOL_Obool)), _u410), _u411), _u412)) | hBOOL(hAPP(hAPP(_u411, _u413), _u412)) | ~hBOOL(hAPP(hAPP(c_member(_u408), _u413), _u410)) )).
% 12.29/12.52 cnf(matrix-1213, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u414, tc_fun(_u415, tc_HOL_Obool)), _u416), _u417), _u418)) | ~hBOOL(hAPP(hAPP(c_member(_u414), _u419), _u416)) | hBOOL(hAPP(hAPP(_u417, _u419), _u418)) )).
% 12.29/12.52 cnf(matrix-1214, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u420, tc_fun(_u421, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u422, tc_fun(_u420, tc_HOL_Obool)), _u423), _u424)), _u425) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u422, tc_fun(_u421, tc_HOL_Obool)), _u423), hAPP(hAPP(c_COMBC(_u422, tc_fun(_u420, tc_fun(_u421, tc_HOL_Obool)), tc_fun(_u421, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u420, tc_HOL_Obool), tc_fun(tc_fun(_u420, tc_fun(_u421, tc_HOL_Obool)), tc_fun(_u421, tc_HOL_Obool)), _u422), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u420, tc_fun(_u421, tc_HOL_Obool))), _u424)), _u425))) )).
% 12.29/12.52 cnf(matrix-1215, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u426, tc_fun(_u427, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u428, tc_fun(_u426, tc_HOL_Obool)), _u429), _u430)), _u431) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u428, tc_fun(_u427, tc_HOL_Obool)), _u429), hAPP(hAPP(c_COMBC(_u428, tc_fun(_u426, tc_fun(_u427, tc_HOL_Obool)), tc_fun(_u427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u426, tc_HOL_Obool), tc_fun(tc_fun(_u426, tc_fun(_u427, tc_HOL_Obool)), tc_fun(_u427, tc_HOL_Obool)), _u428), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u426, tc_fun(_u427, tc_HOL_Obool))), _u430)), _u431))) )).
% 12.29/12.52 cnf(matrix-1216, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u432, tc_fun(_u433, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u434, tc_fun(_u432, tc_HOL_Obool)), _u435), _u436)), _u437) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u434, tc_fun(_u433, tc_HOL_Obool)), _u435), hAPP(hAPP(c_COMBC(_u434, tc_fun(_u432, tc_fun(_u433, tc_HOL_Obool)), tc_fun(_u433, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u432, tc_HOL_Obool), tc_fun(tc_fun(_u432, tc_fun(_u433, tc_HOL_Obool)), tc_fun(_u433, tc_HOL_Obool)), _u434), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u432, tc_fun(_u433, tc_HOL_Obool))), _u436)), _u437))) )).
% 12.29/12.52 cnf(matrix-1217, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u451), _u440), _u453)) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u439), hAPP(_u455, _u440))) | hBOOL(hAPP(_u457, _u439)) | hBOOL(hAPP(hAPP(c_member(_u449), skolem11(_u457, _u455, _u453, _u451, _u449)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u451, tc_fun(_u449, tc_HOL_Obool)), _u453), _u455))) )).
% 12.29/12.52 cnf(matrix-1218, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u451), _u440), _u453)) | ~hBOOL(hAPP(hAPP(c_member(_u449), _u439), hAPP(_u455, _u440))) | hBOOL(hAPP(_u457, _u439)) | ~hBOOL(hAPP(_u457, skolem11(_u457, _u455, _u453, _u451, _u449))) )).
% 12.29/12.52 cnf(matrix-1219, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u443), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u452, tc_fun(_u450, tc_HOL_Obool)), _u454), _u456))) | hBOOL(hAPP(_u458, _u443)) | hBOOL(hAPP(hAPP(c_member(_u452), skolem12(_u458, _u456, _u454, _u452, _u450)), _u454)) )).
% 12.29/12.52 cnf(matrix-1220, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u443), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u452, tc_fun(_u450, tc_HOL_Obool)), _u454), _u456))) | hBOOL(hAPP(_u458, _u443)) | hBOOL(hAPP(hAPP(c_member(_u450), skolem13(_u458, _u456, _u454, _u452, _u450)), hAPP(_u456, skolem12(_u458, _u456, _u454, _u452, _u450)))) )).
% 12.29/12.52 cnf(matrix-1221, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u450), _u443), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u452, tc_fun(_u450, tc_HOL_Obool)), _u454), _u456))) | hBOOL(hAPP(_u458, _u443)) | ~hBOOL(hAPP(_u458, skolem13(_u458, _u456, _u454, _u452, _u450))) )).
% 12.29/12.52 cnf(matrix-1222, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u459, tc_fun(_u460, tc_HOL_Obool)), _u461), hAPP(hAPP(c_COMBC(_u459, tc_fun(_u462, tc_fun(_u460, tc_HOL_Obool)), tc_fun(_u460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u462, tc_HOL_Obool), tc_fun(tc_fun(_u462, tc_fun(_u460, tc_HOL_Obool)), tc_fun(_u460, tc_HOL_Obool)), _u459), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u462, tc_fun(_u460, tc_HOL_Obool))), _u463)), _u464)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u462, tc_fun(_u460, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u459, tc_fun(_u462, tc_HOL_Obool)), _u461), _u463)), _u464)) )).
% 12.29/12.52 cnf(matrix-1223, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u465, tc_fun(_u466, tc_HOL_Obool)), _u467), hAPP(hAPP(c_COMBC(_u465, tc_fun(_u468, tc_fun(_u466, tc_HOL_Obool)), tc_fun(_u466, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u468, tc_HOL_Obool), tc_fun(tc_fun(_u468, tc_fun(_u466, tc_HOL_Obool)), tc_fun(_u466, tc_HOL_Obool)), _u465), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u468, tc_fun(_u466, tc_HOL_Obool))), _u469)), _u470)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u468, tc_fun(_u466, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u465, tc_fun(_u468, tc_HOL_Obool)), _u467), _u469)), _u470)) )).
% 12.29/12.52 cnf(matrix-1224, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u471, tc_HOL_Obool), hAPP(c_Set_OPow(_u471), _u472)) = _u472) )).
% 12.29/12.52 cnf(matrix-1225, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u480, tc_fun(_u482, tc_HOL_Obool)), _u484), _u486), _u488)) | ~hBOOL(hAPP(hAPP(c_member(_u480), _u473), _u484)) | hBOOL(hAPP(hAPP(_u486, _u473), _u488)) )).
% 12.29/12.52 cnf(matrix-1226, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u481, tc_fun(_u483, tc_HOL_Obool)), _u485), _u487), _u489)) | hBOOL(hAPP(hAPP(c_member(_u481), skolem14(_u489, _u487, _u485, _u483, _u481)), _u485)) )).
% 12.29/12.52 cnf(matrix-1227, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u481, tc_fun(_u483, tc_HOL_Obool)), _u485), _u487), _u489)) | ~hBOOL(hAPP(hAPP(_u487, skolem14(_u489, _u487, _u485, _u483, _u481)), _u489)) )).
% 12.29/12.52 cnf(matrix-1228, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u497, tc_fun(_u499, tc_HOL_Obool)), _u501), _u503), _u505)) | hBOOL(hAPP(hAPP(c_member(_u497), skolem15(_u505, _u503, _u501, _u499, _u497)), _u501)) )).
% 12.29/12.52 cnf(matrix-1229, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u497, tc_fun(_u499, tc_HOL_Obool)), _u501), _u503), _u505)) | hBOOL(hAPP(hAPP(_u503, skolem15(_u505, _u503, _u501, _u499, _u497)), _u505)) )).
% 12.29/12.52 cnf(matrix-1230, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u498), _u491), _u502)) | ~hBOOL(hAPP(hAPP(_u504, _u491), _u506)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u498, tc_fun(_u500, tc_HOL_Obool)), _u502), _u504), _u506)) )).
% 12.29/12.52 cnf(matrix-1231, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u507), _u508), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u507, tc_HOL_Obool)), _u509))) | ~hBOOL(hAPP(hAPP(c_member(_u507), _u508), _u509)) )).
% 12.29/12.52 cnf(matrix-1232, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u510), _u511), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u510, tc_HOL_Obool)), _u512))) | ~hBOOL(hAPP(hAPP(c_member(_u510), _u511), _u512)) )).
% 12.29/12.52 cnf(matrix-1233, plain, ( ( _u513 != _u514) | ~hBOOL(hAPP(hAPP(c_member(_u515), _u514), _u516)) | hBOOL(hAPP(hAPP(c_member(_u515), _u513), _u516)) )).
% 12.29/12.52 cnf(matrix-1234, plain, ( ( _u517 != _u518) | ~hBOOL(hAPP(hAPP(c_member(_u519), _u517), _u520)) | hBOOL(hAPP(hAPP(c_member(_u519), _u518), _u520)) )).
% 12.29/12.52 cnf(matrix-1235, plain, ( ( _u517 != _u518) | ~hBOOL(hAPP(hAPP(c_member(_u519), _u518), _u520)) | hBOOL(hAPP(hAPP(c_member(_u519), _u517), _u520)) )).
% 12.29/12.52 cnf(matrix-1236, plain, ( ( _u521 != _u522) | ~hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u521)) | hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u522)) )).
% 12.29/12.52 cnf(matrix-1237, plain, ( ( _u521 != _u522) | ~hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u522)) | hBOOL(hAPP(hAPP(c_member(_u523), _u524), _u521)) )).
% 12.29/12.52 cnf(matrix-1238, plain, ( ( _u530 = _u532) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u528, tc_HOL_Obool)), _u530) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u528, tc_HOL_Obool)), _u532)) )).
% 12.29/12.52 cnf(matrix-1239, plain, ( ( _u531 != _u533) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u529, tc_HOL_Obool)), _u531) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u529, tc_HOL_Obool)), _u533)) )).
% 12.29/12.52 cnf(matrix-1240, plain, ( ( _u539 = _u541) | ~hBOOL(hAPP(hAPP(c_member(_u537), _u539), hAPP(c_fequal, _u541))) )).
% 12.29/12.52 cnf(matrix-1241, plain, ( ( _u540 != _u542) | hBOOL(hAPP(hAPP(c_member(_u538), _u540), hAPP(c_fequal, _u542))) )).
% 12.29/12.52 cnf(matrix-1242, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u546), _u548), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u546, tc_HOL_Obool)), _u550))) | ~hBOOL(hAPP(hAPP(c_member(_u546), _u548), _u550)) )).
% 12.29/12.52 cnf(matrix-1243, plain, ( hBOOL(hAPP(hAPP(c_member(_u547), _u549), _u551)) | hBOOL(hAPP(hAPP(c_member(_u547), _u549), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u547, tc_HOL_Obool)), _u551))) )).
% 12.29/12.52 cnf(matrix-1244, plain, ( hBOOL(hAPP(_u559, _u557)) | ~hBOOL(hAPP(hAPP(c_member(_u555), _u557), _u559)) )).
% 12.29/12.52 cnf(matrix-1245, plain, ( ~hBOOL(hAPP(_u560, _u558)) | hBOOL(hAPP(hAPP(c_member(_u556), _u558), _u560)) )).
% 12.29/12.52 cnf(matrix-1246, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u561, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u561, tc_HOL_Obool)), _u562)) = _u562) )).
% 12.29/12.52 cnf(matrix-1247, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u563, tc_HOL_Obool)), _u564), hAPP(c_Set_OPow(_u563), _u564))) )).
% 12.29/12.52 cnf(matrix-1248, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u565, tc_HOL_Obool)), _u566), _u567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u565, tc_HOL_Obool)), _u566), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u565, tc_HOL_Obool), _u567))) )).
% 12.29/12.52 cnf(matrix-1249, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u568, tc_HOL_Obool)), _u569), _u570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u568, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u568, tc_HOL_Obool), _u570)), _u569)) )).
% 12.29/12.52 cnf(matrix-1250, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u571, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u572, tc_fun(_u571, tc_HOL_Obool)), _u573), _u574)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u572, tc_fun(_u571, tc_HOL_Obool)), _u573), hAPP(hAPP(c_COMBB(tc_fun(_u571, tc_HOL_Obool), tc_fun(_u571, tc_HOL_Obool), _u572), c_Groups_Ouminus__class_Ouminus(tc_fun(_u571, tc_HOL_Obool))), _u574))) )).
% 12.29/12.52 cnf(matrix-1251, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u575, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u576, tc_fun(_u575, tc_HOL_Obool)), _u577), _u578)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u576, tc_fun(_u575, tc_HOL_Obool)), _u577), hAPP(hAPP(c_COMBB(tc_fun(_u575, tc_HOL_Obool), tc_fun(_u575, tc_HOL_Obool), _u576), c_Groups_Ouminus__class_Ouminus(tc_fun(_u575, tc_HOL_Obool))), _u578))) )).
% 12.29/12.52 cnf(matrix-1252, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u579, tc_HOL_Obool), _u580) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u579, tc_HOL_Obool), tc_fun(_u579, tc_HOL_Obool)), _u580), c_COMBI(tc_fun(_u579, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1253, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u581, tc_HOL_Obool), tc_fun(_u582, tc_HOL_Obool)), _u583), hAPP(hAPP(c_COMBC(tc_fun(_u581, tc_HOL_Obool), tc_fun(_u581, tc_fun(_u582, tc_HOL_Obool)), tc_fun(_u582, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u581, tc_fun(_u582, tc_HOL_Obool))), _u584)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u581, tc_fun(_u582, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u581, tc_HOL_Obool), _u583)), _u584)) )).
% 12.29/12.52 cnf(matrix-1254, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u585, tc_HOL_Obool), tc_fun(_u586, tc_HOL_Obool)), _u587), hAPP(hAPP(c_COMBC(tc_fun(_u585, tc_HOL_Obool), tc_fun(_u585, tc_fun(_u586, tc_HOL_Obool)), tc_fun(_u586, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u585, tc_fun(_u586, tc_HOL_Obool))), _u588)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u585, tc_fun(_u586, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u585, tc_HOL_Obool), _u587)), _u588)) )).
% 12.29/12.52 cnf(matrix-1255, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u589, tc_fun(_u590, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u589, tc_HOL_Obool), _u591)), _u592) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u589, tc_HOL_Obool), tc_fun(_u590, tc_HOL_Obool)), _u591), hAPP(hAPP(c_COMBC(tc_fun(_u589, tc_HOL_Obool), tc_fun(_u589, tc_fun(_u590, tc_HOL_Obool)), tc_fun(_u590, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u589, tc_fun(_u590, tc_HOL_Obool))), _u592))) )).
% 12.29/12.52 cnf(matrix-1256, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u593, tc_fun(_u594, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u593, tc_HOL_Obool), _u595)), _u596) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u593, tc_HOL_Obool), tc_fun(_u594, tc_HOL_Obool)), _u595), hAPP(hAPP(c_COMBC(tc_fun(_u593, tc_HOL_Obool), tc_fun(_u593, tc_fun(_u594, tc_HOL_Obool)), tc_fun(_u594, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u593, tc_fun(_u594, tc_HOL_Obool))), _u596))) )).
% 12.29/12.52 cnf(matrix-1257, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u600, tc_HOL_Obool)), _u602), hAPP(c_Set_OPow(_u600), _u604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u600, tc_HOL_Obool)), _u602), _u604)) )).
% 12.29/12.52 cnf(matrix-1258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u601, tc_HOL_Obool)), _u603), _u605)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u601, tc_HOL_Obool)), _u603), hAPP(c_Set_OPow(_u601), _u605))) )).
% 12.29/12.52 cnf(matrix-1259, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u606, tc_HOL_Obool)), _u607), hAPP(c_Set_OPow(_u606), _u608))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u606, tc_HOL_Obool)), _u607), _u608)) )).
% 12.29/12.52 cnf(matrix-1260, plain, ( ( _u614 = _u616) | ( hAPP(hAPP(c_COMBC(_u612, tc_fun(_u612, tc_HOL_Obool), tc_HOL_Obool), c_member(_u612)), _u614) != hAPP(hAPP(c_COMBC(_u612, tc_fun(_u612, tc_HOL_Obool), tc_HOL_Obool), c_member(_u612)), _u616)) )).
% 12.29/12.52 cnf(matrix-1261, plain, ( ( _u615 != _u617) | ( hAPP(hAPP(c_COMBC(_u613, tc_fun(_u613, tc_HOL_Obool), tc_HOL_Obool), c_member(_u613)), _u615) = hAPP(hAPP(c_COMBC(_u613, tc_fun(_u613, tc_HOL_Obool), tc_HOL_Obool), c_member(_u613)), _u617)) )).
% 12.29/12.52 cnf(matrix-1262, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u625), _u627), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u629, tc_fun(_u625, tc_HOL_Obool)), _u631), _u633))) | ~hBOOL(hAPP(hAPP(c_member(_u629), _u618), _u631)) | hBOOL(hAPP(hAPP(c_member(_u625), _u627), hAPP(_u633, _u618))) )).
% 12.29/12.52 cnf(matrix-1263, plain, ( hBOOL(hAPP(hAPP(c_member(_u626), _u628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u630, tc_fun(_u626, tc_HOL_Obool)), _u632), _u634))) | hBOOL(hAPP(hAPP(c_member(_u630), skolem16(_u634, _u632, _u630, _u628, _u626)), _u632)) )).
% 12.29/12.52 cnf(matrix-1264, plain, ( hBOOL(hAPP(hAPP(c_member(_u626), _u628), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u630, tc_fun(_u626, tc_HOL_Obool)), _u632), _u634))) | ~hBOOL(hAPP(hAPP(c_member(_u626), _u628), hAPP(_u634, skolem16(_u634, _u632, _u630, _u628, _u626)))) )).
% 12.29/12.52 cnf(matrix-1265, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u642), _u644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u646, tc_fun(_u642, tc_HOL_Obool)), _u648), _u650))) | hBOOL(hAPP(hAPP(c_member(_u646), skolem17(_u650, _u648, _u646, _u644, _u642)), _u648)) )).
% 12.29/12.52 cnf(matrix-1266, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u642), _u644), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u646, tc_fun(_u642, tc_HOL_Obool)), _u648), _u650))) | hBOOL(hAPP(hAPP(c_member(_u642), _u644), hAPP(_u650, skolem17(_u650, _u648, _u646, _u644, _u642)))) )).
% 12.29/12.52 cnf(matrix-1267, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u647), _u636), _u649)) | ~hBOOL(hAPP(hAPP(c_member(_u643), _u645), hAPP(_u651, _u636))) | hBOOL(hAPP(hAPP(c_member(_u643), _u645), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u647, tc_fun(_u643, tc_HOL_Obool)), _u649), _u651))) )).
% 12.29/12.52 cnf(matrix-1268, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u652) | ~hBOOL(hAPP(hAPP(c_member(_u652), _u653), _u654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), _u653), c_Complete__Lattice_OSup__class_OSup(_u652, _u654))) )).
% 12.29/12.52 cnf(matrix-1269, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u655) | ~hBOOL(hAPP(hAPP(c_member(_u655), _u656), _u657)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u655), c_Complete__Lattice_OInf__class_OInf(_u655, _u657)), _u656)) )).
% 12.29/12.52 cnf(matrix-1270, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u658, tc_HOL_Obool), _u659) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u658, tc_HOL_Obool), tc_fun(_u658, tc_HOL_Obool)), _u659), c_COMBI(tc_fun(_u658, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1271, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u663, hAPP(hAPP(c_COMBC(_u663, tc_fun(_u663, tc_HOL_Obool), tc_HOL_Obool), c_member(_u663)), _u665)), _u667)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u663, tc_HOL_Obool)), _u667), hAPP(c_Set_OPow(_u663), _u665))) )).
% 12.29/12.52 cnf(matrix-1272, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u664, tc_HOL_Obool)), _u668), hAPP(c_Set_OPow(_u664), _u666))) | hBOOL(hAPP(c_Predicate_OPowp(_u664, hAPP(hAPP(c_COMBC(_u664, tc_fun(_u664, tc_HOL_Obool), tc_HOL_Obool), c_member(_u664)), _u666)), _u668)) )).
% 12.29/12.52 cnf(matrix-1273, plain, ( ( hAPP(c_Set_OPow(_u669), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u670, tc_fun(_u669, tc_HOL_Obool)), _u671), _u672)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u670, tc_fun(tc_fun(_u669, tc_HOL_Obool), tc_HOL_Obool)), _u671), hAPP(hAPP(c_COMBB(tc_fun(_u669, tc_HOL_Obool), tc_fun(tc_fun(_u669, tc_HOL_Obool), tc_HOL_Obool), _u670), c_Set_OPow(_u669)), _u672))) )).
% 12.29/12.52 cnf(matrix-1274, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u673, tc_HOL_Obool), tc_HOL_Obool)), _u674), hAPP(c_Set_OPow(_u673), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u673, tc_HOL_Obool), _u674)))) )).
% 12.29/12.52 cnf(matrix-1275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u675, tc_HOL_Obool)), _u676), _u677)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u675, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u675, tc_HOL_Obool)), _u677)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u675, tc_HOL_Obool)), _u676))) )).
% 12.29/12.52 cnf(matrix-1276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u681, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u681, tc_HOL_Obool)), _u683)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u681, tc_HOL_Obool)), _u685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u681, tc_HOL_Obool)), _u685), _u683)) )).
% 12.29/12.52 cnf(matrix-1277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u682, tc_HOL_Obool)), _u686), _u684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u682, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u682, tc_HOL_Obool)), _u684)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u682, tc_HOL_Obool)), _u686))) )).
% 12.29/12.52 cnf(matrix-1278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u687, tc_HOL_Obool)), _u688), _u689)) | ~hBOOL(hAPP(hAPP(c_member(_u687), _u690), _u688)) | hBOOL(hAPP(hAPP(c_member(_u687), _u690), _u689)) )).
% 12.29/12.52 cnf(matrix-1279, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u691), _u692), _u693)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u691, tc_HOL_Obool)), _u693), _u694)) | hBOOL(hAPP(hAPP(c_member(_u691), _u692), _u694)) )).
% 12.29/12.52 cnf(matrix-1280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u695, tc_HOL_Obool)), _u696), _u697)) | ~hBOOL(hAPP(hAPP(c_member(_u695), _u698), _u696)) | hBOOL(hAPP(hAPP(c_member(_u695), _u698), _u697)) )).
% 12.29/12.52 cnf(matrix-1281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u702, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u702, tc_fun(_u702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u702)), _u704)), hAPP(hAPP(c_COMBC(_u702, tc_fun(_u702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u702)), _u706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u702, tc_HOL_Obool)), _u704), _u706)) )).
% 12.29/12.52 cnf(matrix-1282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), _u705), _u707)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u703, tc_fun(_u703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u703)), _u705)), hAPP(hAPP(c_COMBC(_u703, tc_fun(_u703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u703)), _u707))) )).
% 12.29/12.52 cnf(matrix-1283, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u708), _u709), _u710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u711, tc_HOL_Obool)), hAPP(_u712, _u709)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u708, tc_fun(_u711, tc_HOL_Obool)), _u710), _u712))) )).
% 12.29/12.52 cnf(matrix-1284, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u713), _u714), _u715)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u716, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u713, tc_fun(_u716, tc_HOL_Obool)), _u715), _u717)), hAPP(_u717, _u714))) )).
% 12.29/12.52 cnf(matrix-1285, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u720) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), c_Complete__Lattice_OSup__class_OSup(_u720, _u721)), _u722)) | ~hBOOL(hAPP(hAPP(c_member(_u720), _u718), _u721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), _u718), _u722)) )).
% 12.29/12.52 cnf(matrix-1286, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), c_Complete__Lattice_OSup__class_OSup(_u720, _u721)), _u722)) | hBOOL(hAPP(hAPP(c_member(_u720), skolem18(_u722, _u721, _u720)), _u721)) )).
% 12.29/12.52 cnf(matrix-1287, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u720) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), c_Complete__Lattice_OSup__class_OSup(_u720, _u721)), _u722)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u720), skolem18(_u722, _u721, _u720)), _u722)) )).
% 12.29/12.52 cnf(matrix-1288, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u725) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), c_Complete__Lattice_OInf__class_OInf(_u725, _u727))) | ~hBOOL(hAPP(hAPP(c_member(_u725), _u723), _u727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), _u723)) )).
% 12.29/12.52 cnf(matrix-1289, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), c_Complete__Lattice_OInf__class_OInf(_u725, _u727))) | hBOOL(hAPP(hAPP(c_member(_u725), skolem19(_u727, _u726, _u725)), _u727)) )).
% 12.29/12.52 cnf(matrix-1290, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u725) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), c_Complete__Lattice_OInf__class_OInf(_u725, _u727))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u725), _u726), skolem19(_u727, _u726, _u725))) )).
% 12.29/12.52 cnf(matrix-1291, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u728, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u729, tc_fun(tc_fun(_u728, tc_HOL_Obool), tc_HOL_Obool)), _u730), hAPP(hAPP(c_COMBB(tc_fun(_u728, tc_HOL_Obool), tc_fun(tc_fun(_u728, tc_HOL_Obool), tc_HOL_Obool), _u729), c_Set_OPow(_u728)), _u731))), hAPP(c_Set_OPow(_u728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u729, tc_fun(_u728, tc_HOL_Obool)), _u730), _u731)))) )).
% 12.29/12.52 cnf(matrix-1292, plain, ( ~class_Orderings_Oord(_u732) | ~hBOOL(hAPP(hAPP(c_member(_u732), _u733), hAPP(c_SetInterval_Oord__class_OatMost(_u732), _u734))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u732), _u733), _u734)) )).
% 12.29/12.52 cnf(matrix-1293, plain, ( ~class_Orderings_Oord(_u732) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u732), _u733), _u734)) | hBOOL(hAPP(hAPP(c_member(_u732), _u733), hAPP(c_SetInterval_Oord__class_OatMost(_u732), _u734))) )).
% 12.29/12.52 cnf(matrix-1294, plain, ( ~class_Orderings_Oord(_u735) | ~hBOOL(hAPP(hAPP(c_member(_u735), _u736), hAPP(c_SetInterval_Oord__class_OatLeast(_u735), _u737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u735), _u737), _u736)) )).
% 12.29/12.52 cnf(matrix-1295, plain, ( ~class_Orderings_Oord(_u735) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u735), _u737), _u736)) | hBOOL(hAPP(hAPP(c_member(_u735), _u736), hAPP(c_SetInterval_Oord__class_OatLeast(_u735), _u737))) )).
% 12.29/12.52 cnf(matrix-1296, plain, ( ~class_Groups_Ouminus(_u738) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u739, _u738)), _u740), _u741) = hAPP(c_Groups_Ouminus__class_Ouminus(_u738), hAPP(_u740, _u741))) )).
% 12.29/12.52 cnf(matrix-1297, plain, ( ~class_Groups_Ouminus(_u742) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u743, _u742)), _u744), _u745) = hAPP(c_Groups_Ouminus__class_Ouminus(_u742), hAPP(_u744, _u745))) )).
% 12.29/12.52 cnf(matrix-1298, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u752), _u754), c_SetInterval_Oord_OgreaterThanAtMost(_u752, _u756, _u758, _u760, _u762))) | hBOOL(hAPP(hAPP(_u758, _u760), _u754)) )).
% 12.29/12.52 cnf(matrix-1299, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u752), _u754), c_SetInterval_Oord_OgreaterThanAtMost(_u752, _u756, _u758, _u760, _u762))) | hBOOL(hAPP(hAPP(_u756, _u754), _u762)) )).
% 12.29/12.52 cnf(matrix-1300, plain, ( ~hBOOL(hAPP(hAPP(_u759, _u761), _u755)) | ~hBOOL(hAPP(hAPP(_u757, _u755), _u763)) | hBOOL(hAPP(hAPP(c_member(_u753), _u755), c_SetInterval_Oord_OgreaterThanAtMost(_u753, _u757, _u759, _u761, _u763))) )).
% 12.29/12.52 cnf(matrix-1301, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u770), _u772), c_SetInterval_Oord_OatLeastLessThan(_u770, _u774, _u776, _u778, _u780))) | hBOOL(hAPP(hAPP(_u774, _u778), _u772)) )).
% 12.29/12.52 cnf(matrix-1302, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u770), _u772), c_SetInterval_Oord_OatLeastLessThan(_u770, _u774, _u776, _u778, _u780))) | hBOOL(hAPP(hAPP(_u776, _u772), _u780)) )).
% 12.29/12.52 cnf(matrix-1303, plain, ( ~hBOOL(hAPP(hAPP(_u775, _u779), _u773)) | ~hBOOL(hAPP(hAPP(_u777, _u773), _u781)) | hBOOL(hAPP(hAPP(c_member(_u771), _u773), c_SetInterval_Oord_OatLeastLessThan(_u771, _u775, _u777, _u779, _u781))) )).
% 12.29/12.52 cnf(matrix-1304, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u787), _u789), c_SetInterval_Oord_OgreaterThanLessThan(_u787, _u791, _u793, _u795))) | hBOOL(hAPP(hAPP(_u791, _u793), _u789)) )).
% 12.29/12.52 cnf(matrix-1305, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u787), _u789), c_SetInterval_Oord_OgreaterThanLessThan(_u787, _u791, _u793, _u795))) | hBOOL(hAPP(hAPP(_u791, _u789), _u795)) )).
% 12.29/12.52 cnf(matrix-1306, plain, ( ~hBOOL(hAPP(hAPP(_u792, _u794), _u790)) | ~hBOOL(hAPP(hAPP(_u792, _u790), _u796)) | hBOOL(hAPP(hAPP(c_member(_u788), _u790), c_SetInterval_Oord_OgreaterThanLessThan(_u788, _u792, _u794, _u796))) )).
% 12.29/12.52 cnf(matrix-1307, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u802), _u804), c_SetInterval_Oord_OatLeastAtMost(_u802, _u806, _u808, _u810))) | hBOOL(hAPP(hAPP(_u806, _u808), _u804)) )).
% 12.29/12.52 cnf(matrix-1308, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u802), _u804), c_SetInterval_Oord_OatLeastAtMost(_u802, _u806, _u808, _u810))) | hBOOL(hAPP(hAPP(_u806, _u804), _u810)) )).
% 12.29/12.52 cnf(matrix-1309, plain, ( ~hBOOL(hAPP(hAPP(_u807, _u809), _u805)) | ~hBOOL(hAPP(hAPP(_u807, _u805), _u811)) | hBOOL(hAPP(hAPP(c_member(_u803), _u805), c_SetInterval_Oord_OatLeastAtMost(_u803, _u807, _u809, _u811))) )).
% 12.29/12.52 cnf(matrix-1310, plain, ( hBOOL(hAPP(hAPP(_u820, _u822), _u818)) | ~hBOOL(hAPP(hAPP(c_member(_u816), _u818), c_SetInterval_Oord_OgreaterThan(_u816, _u820, _u822))) )).
% 12.29/12.52 cnf(matrix-1311, plain, ( ~hBOOL(hAPP(hAPP(_u821, _u823), _u819)) | hBOOL(hAPP(hAPP(c_member(_u817), _u819), c_SetInterval_Oord_OgreaterThan(_u817, _u821, _u823))) )).
% 12.29/12.52 cnf(matrix-1312, plain, ( hBOOL(hAPP(hAPP(_u832, _u830), _u834)) | ~hBOOL(hAPP(hAPP(c_member(_u828), _u830), c_SetInterval_Oord_OlessThan(_u828, _u832, _u834))) )).
% 12.29/12.52 cnf(matrix-1313, plain, ( ~hBOOL(hAPP(hAPP(_u833, _u831), _u835)) | hBOOL(hAPP(hAPP(c_member(_u829), _u831), c_SetInterval_Oord_OlessThan(_u829, _u833, _u835))) )).
% 12.29/12.52 cnf(matrix-1314, plain, ( hBOOL(hAPP(hAPP(_u844, _u846), _u842)) | ~hBOOL(hAPP(hAPP(c_member(_u840), _u842), c_SetInterval_Oord_OatLeast(_u840, _u844, _u846))) )).
% 12.29/12.52 cnf(matrix-1315, plain, ( ~hBOOL(hAPP(hAPP(_u845, _u847), _u843)) | hBOOL(hAPP(hAPP(c_member(_u841), _u843), c_SetInterval_Oord_OatLeast(_u841, _u845, _u847))) )).
% 12.29/12.52 cnf(matrix-1316, plain, ( hBOOL(hAPP(hAPP(_u856, _u854), _u858)) | ~hBOOL(hAPP(hAPP(c_member(_u852), _u854), c_SetInterval_Oord_OatMost(_u852, _u856, _u858))) )).
% 12.29/12.52 cnf(matrix-1317, plain, ( ~hBOOL(hAPP(hAPP(_u857, _u855), _u859)) | hBOOL(hAPP(hAPP(c_member(_u853), _u855), c_SetInterval_Oord_OatMost(_u853, _u857, _u859))) )).
% 12.29/12.52 cnf(matrix-1318, plain, ( ~class_Lattices_Oboolean__algebra(_u860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u860), _u861), _u862)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u860), hAPP(c_Groups_Ouminus__class_Ouminus(_u860), _u862)), hAPP(c_Groups_Ouminus__class_Ouminus(_u860), _u861))) )).
% 12.29/12.52 cnf(matrix-1319, plain, ( ~class_Groups_Oordered__ab__group__add(_u863) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u863), _u864), _u865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u863), hAPP(c_Groups_Ouminus__class_Ouminus(_u863), _u865)), hAPP(c_Groups_Ouminus__class_Ouminus(_u863), _u864))) )).
% 12.29/12.52 cnf(matrix-1320, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u875, tc_fun(_u877, tc_fun(_u879, tc_HOL_Obool))), _u881), _u883), _u885), _u887)) | hBOOL(hAPP(hAPP(c_member(_u875), skolem20(_u887, _u885, _u883, _u881, _u879, _u877, _u875)), _u881)) )).
% 12.29/12.52 cnf(matrix-1321, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u875, tc_fun(_u877, tc_fun(_u879, tc_HOL_Obool))), _u881), _u883), _u885), _u887)) | hBOOL(hAPP(hAPP(hAPP(_u883, skolem20(_u887, _u885, _u883, _u881, _u879, _u877, _u875)), _u885), _u887)) )).
% 12.29/12.52 cnf(matrix-1322, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u876), _u867), _u882)) | ~hBOOL(hAPP(hAPP(hAPP(_u884, _u867), _u886), _u888)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u876, tc_fun(_u878, tc_fun(_u880, tc_HOL_Obool))), _u882), _u884), _u886), _u888)) )).
% 12.29/12.52 cnf(matrix-1323, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u898, tc_fun(_u900, tc_fun(_u902, tc_HOL_Obool))), _u904), _u906), _u908), _u910)) | ~hBOOL(hAPP(hAPP(c_member(_u898), _u889), _u904)) | hBOOL(hAPP(hAPP(hAPP(_u906, _u889), _u908), _u910)) )).
% 12.29/12.52 cnf(matrix-1324, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u899, tc_fun(_u901, tc_fun(_u903, tc_HOL_Obool))), _u905), _u907), _u909), _u911)) | hBOOL(hAPP(hAPP(c_member(_u899), skolem21(_u911, _u909, _u907, _u905, _u903, _u901, _u899)), _u905)) )).
% 12.29/12.52 cnf(matrix-1325, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u899, tc_fun(_u901, tc_fun(_u903, tc_HOL_Obool))), _u905), _u907), _u909), _u911)) | ~hBOOL(hAPP(hAPP(hAPP(_u907, skolem21(_u911, _u909, _u907, _u905, _u903, _u901, _u899)), _u909), _u911)) )).
% 12.29/12.52 cnf(matrix-1326, plain, ( ~class_Lattices_Oboolean__algebra(_u912) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u913) != hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u914)) | ( _u913 = _u914) )).
% 12.29/12.52 cnf(matrix-1327, plain, ( ~class_Lattices_Oboolean__algebra(_u912) | ( _u913 != _u914) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u913) = hAPP(c_Groups_Ouminus__class_Ouminus(_u912), _u914)) )).
% 12.29/12.52 cnf(matrix-1328, plain, ( ~class_Groups_Ogroup__add(_u915) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u916) != hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u917)) | ( _u916 = _u917) )).
% 12.29/12.52 cnf(matrix-1329, plain, ( ~class_Groups_Ogroup__add(_u915) | ( _u916 != _u917) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u916) = hAPP(c_Groups_Ouminus__class_Ouminus(_u915), _u917)) )).
% 12.29/12.52 cnf(matrix-1330, plain, ( ~class_Groups_Ogroup__add(_u918) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u919) != _u920) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u920) = _u919) )).
% 12.29/12.52 cnf(matrix-1331, plain, ( ~class_Groups_Ogroup__add(_u918) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u920) != _u919) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u918), _u919) = _u920) )).
% 12.29/12.52 cnf(matrix-1332, plain, ( ~class_Groups_Ogroup__add(_u921) | ( _u922 != hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u923)) | ( _u923 = hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u922)) )).
% 12.29/12.52 cnf(matrix-1333, plain, ( ~class_Groups_Ogroup__add(_u921) | ( _u923 != hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u922)) | ( _u922 = hAPP(c_Groups_Ouminus__class_Ouminus(_u921), _u923)) )).
% 12.29/12.52 cnf(matrix-1334, plain, ( ~class_Lattices_Oboolean__algebra(_u924) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u924), hAPP(c_Groups_Ouminus__class_Ouminus(_u924), _u925)) = _u925) )).
% 12.29/12.52 cnf(matrix-1335, plain, ( ~class_Groups_Ogroup__add(_u926) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u926), hAPP(c_Groups_Ouminus__class_Ouminus(_u926), _u927)) = _u927) )).
% 12.29/12.52 cnf(matrix-1336, plain, ( ~class_Groups_Oordered__ab__group__add(_u928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u929), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u930))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u930), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u929))) )).
% 12.29/12.52 cnf(matrix-1337, plain, ( ~class_Groups_Oordered__ab__group__add(_u928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u930), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u929))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u928), _u929), hAPP(c_Groups_Ouminus__class_Ouminus(_u928), _u930))) )).
% 12.29/12.52 cnf(matrix-1338, plain, ( ~class_Groups_Oordered__ab__group__add(_u931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u932)), _u933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u933)), _u932)) )).
% 12.29/12.52 cnf(matrix-1339, plain, ( ~class_Groups_Oordered__ab__group__add(_u931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u933)), _u932)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u931), hAPP(c_Groups_Ouminus__class_Ouminus(_u931), _u932)), _u933)) )).
% 12.29/12.52 cnf(matrix-1340, plain, ( ~class_Groups_Oordered__ab__group__add(_u934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u935)), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u936))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), _u936), _u935)) )).
% 12.29/12.52 cnf(matrix-1341, plain, ( ~class_Groups_Oordered__ab__group__add(_u934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), _u936), _u935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u934), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u935)), hAPP(c_Groups_Ouminus__class_Ouminus(_u934), _u936))) )).
% 12.29/12.52 cnf(matrix-1342, plain, ( ~class_Lattices_Oboolean__algebra(_u937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u938)), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u939))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), _u939), _u938)) )).
% 12.29/12.52 cnf(matrix-1343, plain, ( ~class_Lattices_Oboolean__algebra(_u937) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), _u939), _u938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u937), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u938)), hAPP(c_Groups_Ouminus__class_Ouminus(_u937), _u939))) )).
% 12.29/12.52 cnf(matrix-1344, plain, ( hBOOL(hAPP(hAPP(c_member(_u941), _u943), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u941, tc_HOL_Obool), _u942))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u941, tc_HOL_Obool)), skolem22(_u943, _u942, _u941)), _u942)) )).
% 12.29/12.52 cnf(matrix-1345, plain, ( hBOOL(hAPP(hAPP(c_member(_u941), _u943), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u941, tc_HOL_Obool), _u942))) | ~hBOOL(hAPP(hAPP(c_member(_u941), _u943), skolem22(_u943, _u942, _u941))) )).
% 12.29/12.52 cnf(matrix-1346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u945), _u946), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u945, tc_HOL_Obool), _u947))) | hBOOL(hAPP(hAPP(c_member(_u945), _u946), skolem23(_u947, _u946, _u945))) )).
% 12.29/12.52 cnf(matrix-1347, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u945), _u946), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u945, tc_HOL_Obool), _u947))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u945, tc_HOL_Obool)), skolem23(_u947, _u946, _u945)), _u947)) )).
% 12.29/12.52 cnf(matrix-1348, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u949, tc_fun(_u950, tc_fun(_u951, tc_HOL_Obool))), _u952), _u953), _u954), _u955)) | hBOOL(hAPP(hAPP(c_member(_u949), skolem24(_u955, _u954, _u953, _u952, _u951, _u950, _u949)), _u952)) )).
% 12.29/12.52 cnf(matrix-1349, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u949, tc_fun(_u950, tc_fun(_u951, tc_HOL_Obool))), _u952), _u953), _u954), _u955)) | hBOOL(hAPP(hAPP(hAPP(_u953, skolem24(_u955, _u954, _u953, _u952, _u951, _u950, _u949)), _u954), _u955)) )).
% 12.29/12.52 cnf(matrix-1350, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u957, tc_fun(_u962, tc_fun(_u963, tc_HOL_Obool))), _u958), _u959), _u960), _u961)) | hBOOL(hAPP(hAPP(c_member(_u957), skolem25(_u963, _u962, _u961, _u960, _u959, _u958, _u957)), _u958)) )).
% 12.29/12.52 cnf(matrix-1351, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u957, tc_fun(_u962, tc_fun(_u963, tc_HOL_Obool))), _u958), _u959), _u960), _u961)) | ~hBOOL(hAPP(hAPP(hAPP(_u959, skolem25(_u963, _u962, _u961, _u960, _u959, _u958, _u957)), _u960), _u961)) )).
% 12.29/12.52 cnf(matrix-1352, plain, ( ~class_Orderings_Olinorder(_u964) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u964), _u965), _u966)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u964, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u964, _u965, _u966)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u964), _u966)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u964), _u965)) )).
% 12.29/12.52 cnf(matrix-1353, plain, ( ~class_Orderings_Olinorder(_u967) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u967), _u968), _u969)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u967, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u967), _u968)), c_SetInterval_Oord__class_OatLeastAtMost(_u967, _u968, _u969)) = hAPP(c_SetInterval_Oord__class_OatMost(_u967), _u969)) )).
% 12.29/12.52 cnf(matrix-1354, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u973, tc_HOL_Obool)), _u974), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u971, tc_fun(_u973, tc_HOL_Obool)), _u972), _u975))) | hBOOL(hAPP(hAPP(c_member(_u971), skolem26(_u975, _u974, _u973, _u972, _u971)), _u972)) )).
% 12.29/12.52 cnf(matrix-1355, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u973, tc_HOL_Obool)), _u974), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u971, tc_fun(_u973, tc_HOL_Obool)), _u972), _u975))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u973, tc_HOL_Obool)), _u974), hAPP(_u975, skolem26(_u975, _u974, _u973, _u972, _u971)))) )).
% 12.29/12.52 cnf(matrix-1356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u977, tc_HOL_Obool)), _u978), _u979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u980, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u981)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u982))) | hBOOL(hAPP(hAPP(c_member(_u977), skolem27(_u982, _u981, _u980, _u979, _u978, _u977)), _u979)) )).
% 12.29/12.52 cnf(matrix-1357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u977, tc_HOL_Obool)), _u978), _u979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u980, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u981)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u977, tc_fun(_u980, tc_HOL_Obool)), _u979), _u982))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u980, tc_HOL_Obool)), hAPP(_u981, skolem27(_u982, _u981, _u980, _u979, _u978, _u977))), hAPP(_u982, skolem27(_u982, _u981, _u980, _u979, _u978, _u977)))) )).
% 12.29/12.52 cnf(matrix-1358, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u986, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u984, tc_fun(_u986, tc_HOL_Obool)), _u985), _u987)), _u988)) | hBOOL(hAPP(hAPP(c_member(_u984), skolem28(_u988, _u987, _u986, _u985, _u984)), _u985)) )).
% 12.29/12.52 cnf(matrix-1359, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u986, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u984, tc_fun(_u986, tc_HOL_Obool)), _u985), _u987)), _u988)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u986, tc_HOL_Obool)), hAPP(_u987, skolem28(_u988, _u987, _u986, _u985, _u984))), _u988)) )).
% 12.29/12.52 cnf(matrix-1360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u990, tc_HOL_Obool)), _u991), _u992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u993, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u991), _u994)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u992), _u995))) | hBOOL(hAPP(hAPP(c_member(_u990), skolem29(_u995, _u994, _u993, _u992, _u991, _u990)), _u991)) )).
% 12.29/12.52 cnf(matrix-1361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u990, tc_HOL_Obool)), _u991), _u992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u993, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u991), _u994)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u990, tc_fun(_u993, tc_HOL_Obool)), _u992), _u995))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u993, tc_HOL_Obool)), hAPP(_u994, skolem29(_u995, _u994, _u993, _u992, _u991, _u990))), hAPP(_u995, skolem29(_u995, _u994, _u993, _u992, _u991, _u990)))) )).
% 12.29/12.52 cnf(matrix-1362, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u997) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u997), _u1000), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u998, _u997), _u999), _u1001))) | hBOOL(hAPP(hAPP(c_member(_u998), skolem30(_u1001, _u1000, _u999, _u998, _u997)), _u999)) )).
% 12.29/12.52 cnf(matrix-1363, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u997) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u997), _u1000), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u998, _u997), _u999), _u1001))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u997), _u1000), hAPP(_u1001, skolem30(_u1001, _u1000, _u999, _u998, _u997)))) )).
% 12.29/12.52 cnf(matrix-1364, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1005, tc_HOL_Obool)), _u1004), _u1002), _u1003)) | ~hBOOL(hAPP(_u1002, _u1003)) )).
% 12.29/12.52 cnf(matrix-1365, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1005, tc_HOL_Obool)), _u1004), _u1002), _u1003)) | ~hBOOL(hAPP(_u1004, _u1003)) )).
% 12.29/12.52 cnf(matrix-1366, plain, ( hBOOL(hAPP(_u1007, _u1009)) | hBOOL(hAPP(_u1008, _u1009)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1006, tc_HOL_Obool)), _u1007), _u1008), _u1009)) )).
% 12.29/12.52 cnf(matrix-1367, plain, ( hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1010, tc_HOL_Obool)), _u1013), _u1012))) | ~hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), _u1012)) )).
% 12.29/12.52 cnf(matrix-1368, plain, ( hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1010, tc_HOL_Obool)), _u1013), _u1012))) | ~hBOOL(hAPP(hAPP(c_member(_u1010), _u1011), _u1013)) )).
% 12.29/12.52 cnf(matrix-1369, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1014), _u1015), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1014, tc_HOL_Obool)), _u1016), _u1017))) | hBOOL(hAPP(hAPP(c_member(_u1014), _u1015), _u1016)) | hBOOL(hAPP(hAPP(c_member(_u1014), _u1015), _u1017)) )).
% 12.29/12.52 cnf(matrix-1370, plain, ( ~class_Lattices_Olattice(_u1018) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1019, _u1018)), _u1020), _u1021), _u1022) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1018), hAPP(_u1020, _u1022)), hAPP(_u1021, _u1022))) )).
% 12.29/12.52 cnf(matrix-1371, plain, ( ~class_Lattices_Osemilattice__sup(_u1023) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), _u1024), _u1025)), _u1026) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), _u1024), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1023), _u1025), _u1026))) )).
% 12.29/12.52 cnf(matrix-1372, plain, ( ~class_Lattices_Olattice(_u1027) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), _u1028), _u1029)), _u1030) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), _u1028), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1027), _u1029), _u1030))) )).
% 12.29/12.52 cnf(matrix-1373, plain, ( ~class_Lattices_Osemilattice__sup(_u1031) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), _u1032), _u1033)), _u1034) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), _u1032), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1031), _u1033), _u1034))) )).
% 12.29/12.52 cnf(matrix-1374, plain, ( ~class_Lattices_Osemilattice__sup(_u1035) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1036), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1037), _u1038)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1037), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1035), _u1036), _u1038))) )).
% 12.29/12.52 cnf(matrix-1375, plain, ( ~class_Lattices_Olattice(_u1039) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1040), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1041), _u1042)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1041), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1039), _u1040), _u1042))) )).
% 12.29/12.52 cnf(matrix-1376, plain, ( ~class_Lattices_Osemilattice__sup(_u1043) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1044), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1045), _u1046)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1045), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1043), _u1044), _u1046))) )).
% 12.29/12.52 cnf(matrix-1377, plain, ( ~class_Lattices_Osemilattice__sup(_u1047) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1047), _u1048), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1047), _u1048), _u1049)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1047), _u1048), _u1049)) )).
% 12.29/12.52 cnf(matrix-1378, plain, ( ~class_Lattices_Olattice(_u1050) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1050), _u1051), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1050), _u1051), _u1052)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1050), _u1051), _u1052)) )).
% 12.29/12.52 cnf(matrix-1379, plain, ( ~class_Lattices_Osemilattice__sup(_u1053) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1053), _u1054), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1053), _u1054), _u1055)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1053), _u1054), _u1055)) )).
% 12.29/12.52 cnf(matrix-1380, plain, ( ~class_Lattices_Osemilattice__sup(_u1056) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1056), _u1057), _u1058) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1056), _u1058), _u1057)) )).
% 12.29/12.52 cnf(matrix-1381, plain, ( ~class_Lattices_Olattice(_u1059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1059), _u1060), _u1061) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1059), _u1061), _u1060)) )).
% 12.29/12.52 cnf(matrix-1382, plain, ( ~class_Lattices_Osemilattice__sup(_u1062) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1062), _u1063), _u1064) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1062), _u1064), _u1063)) )).
% 12.29/12.52 cnf(matrix-1383, plain, ( ~class_Lattices_Olattice(_u1065) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1066, _u1065)), _u1067), _u1068), _u1069) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1065), hAPP(_u1067, _u1069)), hAPP(_u1068, _u1069))) )).
% 12.29/12.52 cnf(matrix-1384, plain, ( ~class_Lattices_Osemilattice__sup(_u1070) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1070), _u1071), _u1071) = _u1071) )).
% 12.29/12.52 cnf(matrix-1385, plain, ( ~class_Lattices_Osemilattice__sup(_u1072) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1072), _u1073), _u1073) = _u1073) )).
% 12.29/12.52 cnf(matrix-1386, plain, ( ~hBOOL(hAPP(_u1074, _u1075)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1076, tc_HOL_Obool)), _u1077), _u1074), _u1075)) )).
% 12.29/12.52 cnf(matrix-1387, plain, ( ~hBOOL(hAPP(_u1078, _u1079)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1080, tc_HOL_Obool)), _u1078), _u1081), _u1079)) )).
% 12.29/12.52 cnf(matrix-1388, plain, ( hBOOL(hAPP(hAPP(c_member(_u1092), skolem31(_u1098, _u1096, _u1094, _u1092)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1092, tc_HOL_Obool)), _u1094), _u1096))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1083), _u1094)) | hBOOL(hAPP(_u1098, _u1083)) )).
% 12.29/12.52 cnf(matrix-1389, plain, ( hBOOL(hAPP(hAPP(c_member(_u1092), skolem31(_u1098, _u1096, _u1094, _u1092)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1092, tc_HOL_Obool)), _u1094), _u1096))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1084), _u1096)) | hBOOL(hAPP(_u1098, _u1084)) )).
% 12.29/12.52 cnf(matrix-1390, plain, ( ~hBOOL(hAPP(_u1098, skolem31(_u1098, _u1096, _u1094, _u1092))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1083), _u1094)) | hBOOL(hAPP(_u1098, _u1083)) )).
% 12.29/12.52 cnf(matrix-1391, plain, ( ~hBOOL(hAPP(_u1098, skolem31(_u1098, _u1096, _u1094, _u1092))) | ~hBOOL(hAPP(hAPP(c_member(_u1092), _u1084), _u1096)) | hBOOL(hAPP(_u1098, _u1084)) )).
% 12.29/12.52 cnf(matrix-1392, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem32(_u1099, _u1097, _u1095, _u1093)), _u1095)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem33(_u1099, _u1097, _u1095, _u1093)), _u1097)) )).
% 12.29/12.52 cnf(matrix-1393, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem32(_u1099, _u1097, _u1095, _u1093)), _u1095)) | ~hBOOL(hAPP(_u1099, skolem33(_u1099, _u1097, _u1095, _u1093))) )).
% 12.29/12.52 cnf(matrix-1394, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | ~hBOOL(hAPP(_u1099, skolem32(_u1099, _u1097, _u1095, _u1093))) | hBOOL(hAPP(hAPP(c_member(_u1093), skolem33(_u1099, _u1097, _u1095, _u1093)), _u1097)) )).
% 12.29/12.52 cnf(matrix-1395, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1093), _u1087), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1093, tc_HOL_Obool)), _u1095), _u1097))) | hBOOL(hAPP(_u1099, _u1087)) | ~hBOOL(hAPP(_u1099, skolem32(_u1099, _u1097, _u1095, _u1093))) | ~hBOOL(hAPP(_u1099, skolem33(_u1099, _u1097, _u1095, _u1093))) )).
% 12.29/12.52 cnf(matrix-1396, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem34(_u1116, _u1114, _u1112, _u1110)), _u1112)) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem35(_u1116, _u1114, _u1112, _u1110)), _u1114)) )).
% 12.29/12.52 cnf(matrix-1397, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem34(_u1116, _u1114, _u1112, _u1110)), _u1112)) | hBOOL(hAPP(_u1116, skolem35(_u1116, _u1114, _u1112, _u1110))) )).
% 12.29/12.52 cnf(matrix-1398, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(_u1116, skolem34(_u1116, _u1114, _u1112, _u1110))) | hBOOL(hAPP(hAPP(c_member(_u1110), skolem35(_u1116, _u1114, _u1112, _u1110)), _u1114)) )).
% 12.29/12.52 cnf(matrix-1399, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1110), _u1100), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1110, tc_HOL_Obool)), _u1112), _u1114))) | ~hBOOL(hAPP(_u1116, _u1100)) | hBOOL(hAPP(_u1116, skolem34(_u1116, _u1114, _u1112, _u1110))) | hBOOL(hAPP(_u1116, skolem35(_u1116, _u1114, _u1112, _u1110))) )).
% 12.29/12.52 cnf(matrix-1400, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1103), _u1113)) | ~hBOOL(hAPP(_u1117, _u1103)) | hBOOL(hAPP(hAPP(c_member(_u1111), skolem36(_u1117, _u1115, _u1113, _u1111)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1111, tc_HOL_Obool)), _u1113), _u1115))) )).
% 12.29/12.52 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1103), _u1113)) | ~hBOOL(hAPP(_u1117, _u1103)) | hBOOL(hAPP(_u1117, skolem36(_u1117, _u1115, _u1113, _u1111))) )).
% 12.29/12.52 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1104), _u1115)) | ~hBOOL(hAPP(_u1117, _u1104)) | hBOOL(hAPP(hAPP(c_member(_u1111), skolem36(_u1117, _u1115, _u1113, _u1111)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1111, tc_HOL_Obool)), _u1113), _u1115))) )).
% 12.29/12.52 cnf(matrix-1403, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1111), _u1104), _u1115)) | ~hBOOL(hAPP(_u1117, _u1104)) | hBOOL(hAPP(_u1117, skolem36(_u1117, _u1115, _u1113, _u1111))) )).
% 12.29/12.52 cnf(matrix-1404, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), _u1119), _u1120)), _u1121) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), _u1119), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1118, tc_HOL_Obool)), _u1120), _u1121))) )).
% 12.29/12.52 cnf(matrix-1405, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1123), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1124), _u1125)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1124), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1122, tc_HOL_Obool)), _u1123), _u1125))) )).
% 12.29/12.52 cnf(matrix-1406, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1126, tc_HOL_Obool)), _u1127), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1126, tc_HOL_Obool)), _u1127), _u1128)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1126, tc_HOL_Obool)), _u1127), _u1128)) )).
% 12.29/12.52 cnf(matrix-1407, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1129, tc_HOL_Obool)), _u1130), _u1131) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1129, tc_HOL_Obool)), _u1131), _u1130)) )).
% 12.29/12.52 cnf(matrix-1408, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1132, tc_HOL_Obool)), _u1133), _u1133) = _u1133) )).
% 12.29/12.52 cnf(matrix-1409, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1134, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1134, tc_HOL_Obool), tc_HOL_Obool)), _u1135), _u1136)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1134, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1134, tc_HOL_Obool), _u1135)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1134, tc_HOL_Obool), _u1136))) )).
% 12.29/12.52 cnf(matrix-1410, plain, ( ~class_Lattices_Osemilattice__sup(_u1137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1137), _u1138), _u1139)), _u1140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), _u1138), _u1140)) )).
% 12.29/12.52 cnf(matrix-1411, plain, ( ~class_Lattices_Osemilattice__sup(_u1137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1137), _u1138), _u1139)), _u1140)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1137), _u1139), _u1140)) )).
% 12.29/12.52 cnf(matrix-1412, plain, ( ~class_Lattices_Osemilattice__sup(_u1141) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1141), _u1142), _u1143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1141), _u1144), _u1145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1141), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1141), _u1142), _u1144)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1141), _u1143), _u1145))) )).
% 12.29/12.52 cnf(matrix-1413, plain, ( ~class_Lattices_Osemilattice__sup(_u1146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1146), _u1147), _u1148)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1146), _u1149), _u1148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1146), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1146), _u1147), _u1149)), _u1148)) )).
% 12.29/12.52 cnf(matrix-1414, plain, ( ~class_Lattices_Osemilattice__sup(_u1150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1150), _u1151), _u1152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1150), _u1153), _u1152)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1150), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1150), _u1151), _u1153)), _u1152)) )).
% 12.29/12.52 cnf(matrix-1415, plain, ( ~class_Lattices_Osemilattice__sup(_u1154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1154), _u1155), _u1156)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1154), _u1156), _u1155) = _u1156) )).
% 12.29/12.52 cnf(matrix-1416, plain, ( ~class_Lattices_Osemilattice__sup(_u1157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1157), _u1158), _u1159)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1157), _u1158), _u1159) = _u1159) )).
% 12.29/12.52 cnf(matrix-1417, plain, ( ~class_Lattices_Osemilattice__sup(_u1160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1160), _u1161), _u1162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1160), _u1161), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1160), _u1163), _u1162))) )).
% 12.29/12.52 cnf(matrix-1418, plain, ( ~class_Lattices_Osemilattice__sup(_u1164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1164), _u1165), _u1166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1164), _u1165), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1164), _u1166), _u1167))) )).
% 12.29/12.52 cnf(matrix-1419, plain, ( ~class_Lattices_Osemilattice__sup(_u1168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1168), _u1169), _u1170)), _u1171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1169), _u1171)) )).
% 12.29/12.52 cnf(matrix-1420, plain, ( ~class_Lattices_Osemilattice__sup(_u1168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1168), _u1169), _u1170)), _u1171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1170), _u1171)) )).
% 12.29/12.52 cnf(matrix-1421, plain, ( ~class_Lattices_Osemilattice__sup(_u1168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1169), _u1171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), _u1170), _u1171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1168), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1168), _u1169), _u1170)), _u1171)) )).
% 12.29/12.52 cnf(matrix-1422, plain, ( ~class_Lattices_Osemilattice__sup(_u1172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1172), _u1173), _u1174)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1172), _u1173), _u1174) = _u1174) )).
% 12.29/12.52 cnf(matrix-1423, plain, ( ~class_Lattices_Osemilattice__sup(_u1172) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1172), _u1173), _u1174) != _u1174) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1172), _u1173), _u1174)) )).
% 12.29/12.52 cnf(matrix-1424, plain, ( ~class_Lattices_Osemilattice__sup(_u1175) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1175), _u1176), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1175), _u1177), _u1176))) )).
% 12.29/12.52 cnf(matrix-1425, plain, ( ~class_Lattices_Olattice(_u1178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1178), _u1179), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1178), _u1180), _u1179))) )).
% 12.29/12.52 cnf(matrix-1426, plain, ( ~class_Lattices_Osemilattice__sup(_u1181) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1181), _u1182), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1181), _u1182), _u1183))) )).
% 12.29/12.52 cnf(matrix-1427, plain, ( ~class_Lattices_Olattice(_u1184) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1184), _u1185), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1184), _u1185), _u1186))) )).
% 12.29/12.52 cnf(matrix-1428, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1187), _u1188), _u1189)) | hBOOL(hAPP(hAPP(c_member(_u1187), _u1188), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1187, tc_HOL_Obool)), _u1190), _u1189))) )).
% 12.29/12.52 cnf(matrix-1429, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1191), _u1192), _u1193)) | hBOOL(hAPP(hAPP(c_member(_u1191), _u1192), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1191, tc_HOL_Obool)), _u1193), _u1194))) )).
% 12.29/12.52 cnf(matrix-1430, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1199), _u1201), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1199, tc_HOL_Obool)), _u1203), _u1205))) | hBOOL(hAPP(hAPP(c_member(_u1199), _u1201), _u1203)) | hBOOL(hAPP(hAPP(c_member(_u1199), _u1201), _u1205)) )).
% 12.29/12.52 cnf(matrix-1431, plain, ( hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1200, tc_HOL_Obool)), _u1204), _u1206))) | ~hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), _u1204)) )).
% 12.29/12.52 cnf(matrix-1432, plain, ( hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1200, tc_HOL_Obool)), _u1204), _u1206))) | ~hBOOL(hAPP(hAPP(c_member(_u1200), _u1202), _u1206)) )).
% 12.29/12.52 cnf(matrix-1433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1207, tc_HOL_Obool)), _u1208), _u1209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1207, tc_HOL_Obool)), _u1210), _u1211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1207, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1207, tc_HOL_Obool)), _u1208), _u1210)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1207, tc_HOL_Obool)), _u1209), _u1211))) )).
% 12.29/12.52 cnf(matrix-1434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1212, tc_HOL_Obool)), _u1213), _u1214)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1212, tc_HOL_Obool)), _u1215), _u1214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1212, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1212, tc_HOL_Obool)), _u1213), _u1215)), _u1214)) )).
% 12.29/12.52 cnf(matrix-1435, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1216, tc_HOL_Obool)), _u1217), _u1218)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1216, tc_HOL_Obool)), _u1218), _u1217) = _u1218) )).
% 12.29/12.52 cnf(matrix-1436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1219, tc_HOL_Obool)), _u1220), _u1221)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1219, tc_HOL_Obool)), _u1220), _u1221) = _u1221) )).
% 12.29/12.52 cnf(matrix-1437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1225, tc_HOL_Obool)), _u1227), _u1229)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1225, tc_HOL_Obool)), _u1227), _u1229) = _u1229) )).
% 12.29/12.52 cnf(matrix-1438, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1226, tc_HOL_Obool)), _u1228), _u1230) != _u1230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1226, tc_HOL_Obool)), _u1228), _u1230)) )).
% 12.29/12.52 cnf(matrix-1439, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1231, tc_HOL_Obool)), _u1232), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1231, tc_HOL_Obool)), _u1233), _u1232))) )).
% 12.29/12.52 cnf(matrix-1440, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1234, tc_HOL_Obool)), _u1235), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1234, tc_HOL_Obool)), _u1235), _u1236))) )).
% 12.29/12.52 cnf(matrix-1441, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1237, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1237, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1237), _u1238)), hAPP(c_Set_OPow(_u1237), _u1239))), hAPP(c_Set_OPow(_u1237), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1237, tc_HOL_Obool)), _u1238), _u1239)))) )).
% 12.29/12.52 cnf(matrix-1442, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1244, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1244, tc_fun(_u1244, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1244)), _u1246)), hAPP(hAPP(c_COMBC(_u1244, tc_fun(_u1244, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1244)), _u1248)), _u1250)) | hBOOL(hAPP(hAPP(c_member(_u1244), _u1250), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1244, tc_HOL_Obool)), _u1246), _u1248))) )).
% 12.29/12.52 cnf(matrix-1443, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1245), _u1251), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1245, tc_HOL_Obool)), _u1247), _u1249))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1245, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1245, tc_fun(_u1245, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1245)), _u1247)), hAPP(hAPP(c_COMBC(_u1245, tc_fun(_u1245, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1245)), _u1249)), _u1251)) )).
% 12.29/12.52 cnf(matrix-1444, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1252, tc_fun(_u1253, tc_HOL_Obool)), _u1254), hAPP(hAPP(c_COMBS(_u1252, tc_fun(_u1253, tc_HOL_Obool), tc_fun(_u1253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1253, tc_HOL_Obool), tc_fun(tc_fun(_u1253, tc_HOL_Obool), tc_fun(_u1253, tc_HOL_Obool)), _u1252), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1253, tc_HOL_Obool))), _u1255)), _u1256)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1253, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1252, tc_fun(_u1253, tc_HOL_Obool)), _u1254), _u1255)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1252, tc_fun(_u1253, tc_HOL_Obool)), _u1254), _u1256))) )).
% 12.29/12.52 cnf(matrix-1445, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1257, tc_fun(_u1258, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1257, tc_HOL_Obool)), _u1259), _u1260)), _u1261) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1258, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1257, tc_fun(_u1258, tc_HOL_Obool)), _u1259), _u1261)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1257, tc_fun(_u1258, tc_HOL_Obool)), _u1260), _u1261))) )).
% 12.29/12.52 cnf(matrix-1446, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1262, tc_fun(_u1263, tc_HOL_Obool)), _u1264), hAPP(hAPP(c_COMBB(tc_fun(_u1263, tc_HOL_Obool), tc_fun(_u1263, tc_HOL_Obool), _u1262), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1263, tc_HOL_Obool)), _u1265)), _u1266)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1263, tc_HOL_Obool)), _u1265), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1262, tc_fun(_u1263, tc_HOL_Obool)), _u1264), _u1266))) )).
% 12.29/12.52 cnf(matrix-1447, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1267, tc_fun(_u1268, tc_HOL_Obool)), _u1269), hAPP(hAPP(c_COMBC(_u1267, tc_fun(_u1268, tc_HOL_Obool), tc_fun(_u1268, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1268, tc_HOL_Obool), tc_fun(tc_fun(_u1268, tc_HOL_Obool), tc_fun(_u1268, tc_HOL_Obool)), _u1267), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1268, tc_HOL_Obool))), _u1270)), _u1271)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1268, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1267, tc_fun(_u1268, tc_HOL_Obool)), _u1269), _u1270)), _u1271)) )).
% 12.29/12.52 cnf(matrix-1448, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1272, tc_HOL_Obool)), _u1273), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1274, tc_fun(_u1272, tc_HOL_Obool)), _u1275), _u1276)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1274, tc_fun(_u1272, tc_HOL_Obool)), _u1275), hAPP(hAPP(c_COMBB(tc_fun(_u1272, tc_HOL_Obool), tc_fun(_u1272, tc_HOL_Obool), _u1274), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1272, tc_HOL_Obool)), _u1273)), _u1276))) )).
% 12.29/12.52 cnf(matrix-1449, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1277, tc_HOL_Obool)), _u1278), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1279, tc_fun(_u1277, tc_HOL_Obool)), _u1280), _u1281)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1279, tc_fun(_u1277, tc_HOL_Obool)), _u1280), hAPP(hAPP(c_COMBB(tc_fun(_u1277, tc_HOL_Obool), tc_fun(_u1277, tc_HOL_Obool), _u1279), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1277, tc_HOL_Obool)), _u1278)), _u1281))) )).
% 12.29/12.52 cnf(matrix-1450, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1282, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1283, tc_fun(_u1282, tc_HOL_Obool)), _u1284), _u1285)), _u1286) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1283, tc_fun(_u1282, tc_HOL_Obool)), _u1284), hAPP(hAPP(c_COMBC(_u1283, tc_fun(_u1282, tc_HOL_Obool), tc_fun(_u1282, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1282, tc_HOL_Obool), tc_fun(tc_fun(_u1282, tc_HOL_Obool), tc_fun(_u1282, tc_HOL_Obool)), _u1283), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1282, tc_HOL_Obool))), _u1285)), _u1286))) )).
% 12.29/12.52 cnf(matrix-1451, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1287, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1288, tc_fun(_u1287, tc_HOL_Obool)), _u1289), _u1290)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1291, tc_fun(_u1287, tc_HOL_Obool)), _u1292), _u1293)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1288, tc_fun(_u1287, tc_HOL_Obool)), _u1289), hAPP(hAPP(c_COMBB(tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool)), tc_fun(_u1287, tc_HOL_Obool), _u1288), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1291, tc_fun(_u1287, tc_HOL_Obool)), _u1292)), hAPP(hAPP(c_COMBC(_u1288, tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool)), tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u1287, tc_HOL_Obool), tc_fun(_u1287, tc_HOL_Obool)), tc_fun(tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool)), tc_fun(_u1291, tc_fun(_u1287, tc_HOL_Obool))), _u1288), c_COMBB(tc_fun(_u1287, tc_HOL_Obool), tc_fun(_u1287, tc_HOL_Obool), _u1291)), hAPP(hAPP(c_COMBB(tc_fun(_u1287, tc_HOL_Obool), tc_fun(tc_fun(_u1287, tc_HOL_Obool), tc_fun(_u1287, tc_HOL_Obool)), _u1288), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1287, tc_HOL_Obool))), _u1290))), _u1293)))) )).
% 12.29/12.52 cnf(matrix-1452, plain, ( ~class_Orderings_Olinorder(_u1294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1294), _u1295), _u1296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1294), _u1296), _u1297)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1294, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1294, _u1295), _u1296)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1294, _u1296), _u1297)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1294, _u1295), _u1297)) )).
% 12.29/12.52 cnf(matrix-1453, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1298), _u1299), _u1300)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1301, tc_HOL_Obool)), hAPP(_u1302, _u1299)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1298, tc_fun(_u1301, tc_HOL_Obool)), _u1300), _u1302)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1298, tc_fun(_u1301, tc_HOL_Obool)), _u1300), _u1302)) )).
% 12.29/12.52 cnf(matrix-1454, plain, ( ~class_Orderings_Olinorder(_u1303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1303), _u1304), _u1305)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1303), _u1305), _u1306)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1303, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1303, _u1304), _u1305)), c_SetInterval_Oord__class_OatLeastAtMost(_u1303, _u1305, _u1306)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1303, _u1304, _u1306)) )).
% 12.29/12.52 cnf(matrix-1455, plain, ( ~class_Orderings_Olinorder(_u1307) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1307), _u1308), _u1309)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1307, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1307), _u1308)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1307, _u1308), _u1309)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u1307), _u1309)) )).
% 12.29/12.52 cnf(matrix-1456, plain, ( ~class_Orderings_Olinorder(_u1310) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1310), _u1311), _u1312)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1310, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1310, _u1311), _u1312)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1310), _u1312)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u1310), _u1311)) )).
% 12.29/12.52 cnf(matrix-1457, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1313, tc_HOL_Obool)), _u1314), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1313, tc_HOL_Obool), _u1315)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u1313, tc_HOL_Obool), tc_fun(_u1313, tc_HOL_Obool)), _u1315), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1313, tc_HOL_Obool)), _u1314))) )).
% 12.29/12.52 cnf(matrix-1458, plain, ( ~class_Orderings_Olinorder(_u1316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1316), _u1317), _u1318)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1316, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1316, _u1317, _u1318)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1316), _u1318)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1316), _u1317)) )).
% 12.29/12.52 cnf(matrix-1459, plain, ( ~class_Orderings_Olinorder(_u1319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1319), _u1320), _u1321)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1319, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u1319), _u1320)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1319, _u1320, _u1321)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1319), _u1321)) )).
% 12.29/12.52 cnf(matrix-1460, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1323), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1324, _u1323), _u1325), _u1326)), _u1327)) | hBOOL(hAPP(hAPP(c_member(_u1324), skolem37(_u1327, _u1326, _u1325, _u1324, _u1323)), _u1325)) )).
% 12.29/12.52 cnf(matrix-1461, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1323), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1324, _u1323), _u1325), _u1326)), _u1327)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1323), hAPP(_u1326, skolem37(_u1327, _u1326, _u1325, _u1324, _u1323))), _u1327)) )).
% 12.29/12.52 cnf(matrix-1462, plain, ( ~class_Orderings_Olinorder(_u1328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1328), _u1329), _u1330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1328), _u1330), _u1331)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1328, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u1328, _u1329, _u1330)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1328, _u1330, _u1331)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1328, _u1329, _u1331)) )).
% 12.29/12.52 cnf(matrix-1463, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1333, tc_HOL_Obool)), _u1335), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1333, tc_HOL_Obool), _u1334))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1333, tc_HOL_Obool)), skolem38(_u1335, _u1334, _u1333)), _u1334)) )).
% 12.29/12.52 cnf(matrix-1464, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1333, tc_HOL_Obool)), _u1335), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1333, tc_HOL_Obool), _u1334))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1333, tc_HOL_Obool)), _u1335), skolem38(_u1335, _u1334, _u1333))) )).
% 12.29/12.52 cnf(matrix-1465, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1337, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1337, tc_HOL_Obool), _u1338)), _u1339)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1337, tc_HOL_Obool)), skolem39(_u1339, _u1338, _u1337)), _u1338)) )).
% 12.29/12.52 cnf(matrix-1466, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1337, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1337, tc_HOL_Obool), _u1338)), _u1339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1337, tc_HOL_Obool)), skolem39(_u1339, _u1338, _u1337)), _u1339)) )).
% 12.29/12.52 cnf(matrix-1467, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1341, tc_fun(_u1345, tc_HOL_Obool)), _u1342), _u1343), _u1344)) | hBOOL(hAPP(hAPP(c_member(_u1341), skolem40(_u1345, _u1344, _u1343, _u1342, _u1341)), _u1342)) )).
% 12.29/12.52 cnf(matrix-1468, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1341, tc_fun(_u1345, tc_HOL_Obool)), _u1342), _u1343), _u1344)) | ~hBOOL(hAPP(hAPP(_u1343, skolem40(_u1345, _u1344, _u1343, _u1342, _u1341)), _u1344)) )).
% 12.29/12.52 cnf(matrix-1469, plain, ( hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1347, tc_fun(_u1349, tc_HOL_Obool)), _u1348), _u1351))) | hBOOL(hAPP(hAPP(c_member(_u1347), skolem41(_u1351, _u1350, _u1349, _u1348, _u1347)), _u1348)) )).
% 12.29/12.52 cnf(matrix-1470, plain, ( hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1347, tc_fun(_u1349, tc_HOL_Obool)), _u1348), _u1351))) | ~hBOOL(hAPP(hAPP(c_member(_u1349), _u1350), hAPP(_u1351, skolem41(_u1351, _u1350, _u1349, _u1348, _u1347)))) )).
% 12.29/12.52 cnf(matrix-1471, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1353, tc_fun(_u1354, tc_HOL_Obool)), _u1355), _u1356), _u1357)) | hBOOL(hAPP(hAPP(c_member(_u1353), skolem42(_u1357, _u1356, _u1355, _u1354, _u1353)), _u1355)) )).
% 12.29/12.52 cnf(matrix-1472, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1353, tc_fun(_u1354, tc_HOL_Obool)), _u1355), _u1356), _u1357)) | hBOOL(hAPP(hAPP(_u1356, skolem42(_u1357, _u1356, _u1355, _u1354, _u1353)), _u1357)) )).
% 12.29/12.52 cnf(matrix-1473, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1359), _u1360), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1361, tc_fun(_u1359, tc_HOL_Obool)), _u1362), _u1363))) | hBOOL(hAPP(hAPP(c_member(_u1361), skolem43(_u1363, _u1362, _u1361, _u1360, _u1359)), _u1362)) )).
% 12.29/12.52 cnf(matrix-1474, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1359), _u1360), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1361, tc_fun(_u1359, tc_HOL_Obool)), _u1362), _u1363))) | hBOOL(hAPP(hAPP(c_member(_u1359), _u1360), hAPP(_u1363, skolem43(_u1363, _u1362, _u1361, _u1360, _u1359)))) )).
% 12.29/12.52 cnf(matrix-1475, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1365), _u1367), c_Complete__Lattice_OInf__class_OInf(_u1365, _u1366))) | hBOOL(hAPP(hAPP(c_member(_u1365), skolem44(_u1367, _u1366, _u1365)), _u1366)) )).
% 12.29/12.52 cnf(matrix-1476, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1365) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1365), _u1367), c_Complete__Lattice_OInf__class_OInf(_u1365, _u1366))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1365), _u1367), skolem44(_u1367, _u1366, _u1365))) )).
% 12.29/12.52 cnf(matrix-1477, plain, ( ~class_Orderings_Olinorder(_u1368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1368), _u1369), _u1370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1368), _u1370), _u1371)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1368, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1368, _u1369, _u1370)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1368, _u1370, _u1371)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1368, _u1369, _u1371)) )).
% 12.29/12.52 cnf(matrix-1478, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1373), c_Complete__Lattice_OSup__class_OSup(_u1373, _u1374)), _u1375)) | hBOOL(hAPP(hAPP(c_member(_u1373), skolem45(_u1375, _u1374, _u1373)), _u1374)) )).
% 12.29/12.52 cnf(matrix-1479, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1373) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1373), c_Complete__Lattice_OSup__class_OSup(_u1373, _u1374)), _u1375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1373), skolem45(_u1375, _u1374, _u1373)), _u1375)) )).
% 12.29/12.52 cnf(matrix-1480, plain, ( ~class_Lattices_Olattice(_u1376) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1376), _u1377), _u1377) = _u1377) )).
% 12.29/12.52 cnf(matrix-1481, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1378, tc_fun(_u1379, tc_HOL_Obool)), _u1380), hAPP(hAPP(c_COMBS(_u1378, tc_fun(_u1379, tc_HOL_Obool), tc_fun(_u1379, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1379, tc_HOL_Obool), tc_fun(tc_fun(_u1379, tc_HOL_Obool), tc_fun(_u1379, tc_HOL_Obool)), _u1378), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1379, tc_HOL_Obool))), _u1381)), _u1382)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1379, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1379, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1378, tc_fun(_u1379, tc_HOL_Obool), _u1381), _u1380))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1379, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1378, tc_fun(_u1379, tc_HOL_Obool), _u1382), _u1380)))) )).
% 12.29/12.52 cnf(matrix-1482, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool)), _u1385), _u1386)) | hBOOL(hAPP(hAPP(c_member(_u1384), skolem46(_u1386, _u1385, _u1384)), _u1385)) )).
% 12.29/12.52 cnf(matrix-1483, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1384, tc_HOL_Obool)), _u1385), _u1386)) | ~hBOOL(hAPP(hAPP(c_member(_u1384), skolem46(_u1386, _u1385, _u1384)), _u1386)) )).
% 12.29/12.52 cnf(matrix-1484, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1387, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1387, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1387, tc_HOL_Obool), _u1388)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1387, tc_HOL_Obool), _u1389))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1387, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1387, tc_HOL_Obool), tc_HOL_Obool)), _u1388), _u1389)))) )).
% 12.29/12.52 cnf(matrix-1485, plain, ( ~class_Groups_Oordered__ab__group__add(_u1390) | ( hAPP(c_Set_Oimage(_u1390, _u1390, c_Groups_Ouminus__class_Ouminus(_u1390)), hAPP(c_SetInterval_Oord__class_OatLeast(_u1390), _u1391)) = hAPP(c_SetInterval_Oord__class_OatMost(_u1390), hAPP(c_Groups_Ouminus__class_Ouminus(_u1390), _u1391))) )).
% 12.29/12.52 cnf(matrix-1486, plain, ( ~class_Groups_Oordered__ab__group__add(_u1392) | ( hAPP(c_Set_Oimage(_u1392, _u1392, c_Groups_Ouminus__class_Ouminus(_u1392)), hAPP(c_SetInterval_Oord__class_OatMost(_u1392), _u1393)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u1392), hAPP(c_Groups_Ouminus__class_Ouminus(_u1392), _u1393))) )).
% 12.29/12.52 cnf(matrix-1487, plain, ( ~class_Groups_Oordered__ab__group__add(_u1394) | ( hAPP(c_Set_Oimage(_u1394, _u1394, c_Groups_Ouminus__class_Ouminus(_u1394)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1394), _u1395)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u1394), hAPP(c_Groups_Ouminus__class_Ouminus(_u1394), _u1395))) )).
% 12.29/12.52 cnf(matrix-1488, plain, ( ~class_Groups_Oordered__ab__group__add(_u1396) | ( hAPP(c_Set_Oimage(_u1396, _u1396, c_Groups_Ouminus__class_Ouminus(_u1396)), hAPP(c_SetInterval_Oord__class_OlessThan(_u1396), _u1397)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u1396), hAPP(c_Groups_Ouminus__class_Ouminus(_u1396), _u1397))) )).
% 12.29/12.52 cnf(matrix-1489, plain, ( ( _u1399 != _u1400) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1399), _u1402) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1400), _u1403)) | hBOOL(hAPP(hAPP(c_member(_u1401), skolem47(_u1404, _u1403, _u1402, _u1401, _u1400, _u1399)), _u1400)) )).
% 12.29/12.52 cnf(matrix-1490, plain, ( ( _u1399 != _u1400) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1399), _u1402) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1401, tc_fun(_u1404, tc_HOL_Obool)), _u1400), _u1403)) | ( hAPP(_u1402, skolem47(_u1404, _u1403, _u1402, _u1401, _u1400, _u1399)) != hAPP(_u1403, skolem47(_u1404, _u1403, _u1402, _u1401, _u1400, _u1399))) )).
% 12.29/12.52 cnf(matrix-1491, plain, ( ~class_Lattices_Oboolean__algebra(_u1405) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1405), _u1406), hAPP(c_Groups_Ouminus__class_Ouminus(_u1405), _u1406)) = c_Orderings_Otop__class_Otop(_u1405)) )).
% 12.29/12.52 cnf(matrix-1492, plain, ( hBOOL(hAPP(hAPP(c_member(_u1407), _u1408), c_Orderings_Otop__class_Otop(tc_fun(_u1407, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1493, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411), _u1412)) | hBOOL(hAPP(_u1410, _u1412)) )).
% 12.29/12.52 cnf(matrix-1494, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411), _u1412)) | hBOOL(hAPP(_u1411, _u1412)) )).
% 12.29/12.52 cnf(matrix-1495, plain, ( ~hBOOL(hAPP(_u1413, _u1414)) | ~hBOOL(hAPP(_u1415, _u1414)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1413), _u1415), _u1414)) )).
% 12.29/12.52 cnf(matrix-1496, plain, ( ( _u1417 != hAPP(_u1418, _u1419)) | ~hBOOL(hAPP(hAPP(c_member(_u1420), _u1419), _u1421)) | hBOOL(hAPP(hAPP(c_member(_u1422), _u1417), hAPP(c_Set_Oimage(_u1420, _u1422, _u1418), _u1421))) )).
% 12.29/12.52 cnf(matrix-1497, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1423, tc_HOL_Obool)), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), _u1425)) )).
% 12.29/12.52 cnf(matrix-1498, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1423, tc_HOL_Obool)), _u1425), _u1426))) | hBOOL(hAPP(hAPP(c_member(_u1423), _u1424), _u1426)) )).
% 12.29/12.52 cnf(matrix-1499, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), _u1429)) | ~hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), _u1430)) | hBOOL(hAPP(hAPP(c_member(_u1427), _u1428), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1427, tc_HOL_Obool)), _u1429), _u1430))) )).
% 12.29/12.52 cnf(matrix-1500, plain, ( hBOOL(hAPP(hAPP(c_member(_u1431), hAPP(_u1432, _u1433)), hAPP(c_Set_Oimage(_u1434, _u1431, _u1432), c_Orderings_Otop__class_Otop(tc_fun(_u1434, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1501, plain, ( ( _u1435 != hAPP(_u1436, _u1437)) | hBOOL(hAPP(hAPP(c_member(_u1438), _u1435), hAPP(c_Set_Oimage(_u1439, _u1438, _u1436), c_Orderings_Otop__class_Otop(tc_fun(_u1439, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1502, plain, ( ~class_Lattices_Olattice(_u1440) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1441, _u1440)), _u1442), _u1443), _u1444) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1440), hAPP(_u1442, _u1444)), hAPP(_u1443, _u1444))) )).
% 12.29/12.52 cnf(matrix-1503, plain, ( ~class_Lattices_Osemilattice__inf(_u1445) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), _u1446), _u1447)), _u1448) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), _u1446), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1445), _u1447), _u1448))) )).
% 12.29/12.52 cnf(matrix-1504, plain, ( ~class_Lattices_Olattice(_u1449) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), _u1450), _u1451)), _u1452) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), _u1450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1449), _u1451), _u1452))) )).
% 12.29/12.52 cnf(matrix-1505, plain, ( ~class_Lattices_Osemilattice__inf(_u1453) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), _u1454), _u1455)), _u1456) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), _u1454), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1453), _u1455), _u1456))) )).
% 12.29/12.52 cnf(matrix-1506, plain, ( ~class_Lattices_Obounded__lattice__top(_u1457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) != c_Orderings_Otop__class_Otop(_u1457)) | ( _u1458 = c_Orderings_Otop__class_Otop(_u1457)) )).
% 12.29/12.52 cnf(matrix-1507, plain, ( ~class_Lattices_Obounded__lattice__top(_u1457) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) != c_Orderings_Otop__class_Otop(_u1457)) | ( _u1459 = c_Orderings_Otop__class_Otop(_u1457)) )).
% 12.29/12.52 cnf(matrix-1508, plain, ( ~class_Lattices_Obounded__lattice__top(_u1457) | ( _u1458 != c_Orderings_Otop__class_Otop(_u1457)) | ( _u1459 != c_Orderings_Otop__class_Otop(_u1457)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1457), _u1458), _u1459) = c_Orderings_Otop__class_Otop(_u1457)) )).
% 12.29/12.52 cnf(matrix-1509, plain, ( ~class_Lattices_Osemilattice__inf(_u1460) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1461), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), _u1463)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1461), _u1463))) )).
% 12.29/12.52 cnf(matrix-1510, plain, ( ~class_Lattices_Olattice(_u1464) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1465), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1466), _u1467)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1464), _u1465), _u1467))) )).
% 12.29/12.52 cnf(matrix-1511, plain, ( ~class_Lattices_Osemilattice__inf(_u1468) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1469), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1470), _u1471)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1468), _u1469), _u1471))) )).
% 12.29/12.52 cnf(matrix-1512, plain, ( ~class_Lattices_Osemilattice__inf(_u1472) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1472), _u1473), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1472), _u1473), _u1474)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1472), _u1473), _u1474)) )).
% 12.29/12.52 cnf(matrix-1513, plain, ( ~class_Lattices_Olattice(_u1475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), _u1477)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1475), _u1476), _u1477)) )).
% 12.29/12.52 cnf(matrix-1514, plain, ( ~class_Lattices_Osemilattice__inf(_u1478) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480)) )).
% 12.29/12.52 cnf(matrix-1515, plain, ( ~class_Lattices_Osemilattice__inf(_u1481) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1482), _u1483) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1483), _u1482)) )).
% 12.29/12.52 cnf(matrix-1516, plain, ( ~class_Lattices_Olattice(_u1484) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1484), _u1485), _u1486) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1484), _u1486), _u1485)) )).
% 12.29/12.52 cnf(matrix-1517, plain, ( ~class_Lattices_Osemilattice__inf(_u1487) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1488), _u1489) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1489), _u1488)) )).
% 12.29/12.52 cnf(matrix-1518, plain, ( ~class_Lattices_Olattice(_u1490) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1491, _u1490)), _u1492), _u1493), _u1494) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1490), hAPP(_u1492, _u1494)), hAPP(_u1493, _u1494))) )).
% 12.29/12.52 cnf(matrix-1519, plain, ( ~class_Lattices_Osemilattice__inf(_u1495) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1495), _u1496), _u1496) = _u1496) )).
% 12.29/12.52 cnf(matrix-1520, plain, ( ~class_Lattices_Osemilattice__inf(_u1497) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1497), _u1498), _u1498) = _u1498) )).
% 12.29/12.52 cnf(matrix-1521, plain, ( ~class_Lattices_Obounded__lattice__top(_u1499) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1499), _u1500), c_Orderings_Otop__class_Otop(_u1499)) = _u1500) )).
% 12.29/12.52 cnf(matrix-1522, plain, ( ~class_Lattices_Obounded__lattice__top(_u1501) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1501), c_Orderings_Otop__class_Otop(_u1501)), _u1502) = _u1502) )).
% 12.29/12.52 cnf(matrix-1523, plain, ( ~class_Lattices_Olattice(_u1503) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1503), _u1504), _u1504) = _u1504) )).
% 12.29/12.52 cnf(matrix-1524, plain, ( hBOOL(hAPP(_u1507, _u1508)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1505, tc_HOL_Obool)), _u1506), _u1507), _u1508)) )).
% 12.29/12.52 cnf(matrix-1525, plain, ( hBOOL(hAPP(_u1510, _u1512)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1509, tc_HOL_Obool)), _u1510), _u1511), _u1512)) )).
% 12.29/12.52 cnf(matrix-1526, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), _u1514), _u1515)), _u1516) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), _u1514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1513, tc_HOL_Obool)), _u1515), _u1516))) )).
% 12.29/12.52 cnf(matrix-1527, plain, ( ( hAPP(c_Set_Oimage(_u1517, _u1518, hAPP(hAPP(c_COMBB(_u1519, _u1518, _u1517), _u1520), _u1521)), c_Orderings_Otop__class_Otop(tc_fun(_u1517, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u1519, _u1518, _u1520), hAPP(c_Set_Oimage(_u1517, _u1519, _u1521), c_Orderings_Otop__class_Otop(tc_fun(_u1517, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1528, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1523), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1524), _u1525)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1524), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1522, tc_HOL_Obool)), _u1523), _u1525))) )).
% 12.29/12.52 cnf(matrix-1529, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1526, tc_HOL_Obool)), _u1527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1526, tc_HOL_Obool)), _u1527), _u1528)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1526, tc_HOL_Obool)), _u1527), _u1528)) )).
% 12.29/12.52 cnf(matrix-1530, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1529, tc_HOL_Obool)), _u1530), _u1531) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1529, tc_HOL_Obool)), _u1531), _u1530)) )).
% 12.29/12.52 cnf(matrix-1531, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1532, tc_HOL_Obool)), _u1533), _u1533) = _u1533) )).
% 12.29/12.52 cnf(matrix-1532, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1534, tc_HOL_Obool)), _u1535), c_Orderings_Otop__class_Otop(tc_fun(_u1534, tc_HOL_Obool))) = _u1535) )).
% 12.29/12.52 cnf(matrix-1533, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1536, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1536, tc_HOL_Obool))), _u1537) = _u1537) )).
% 12.29/12.52 cnf(matrix-1534, plain, ( ~class_Orderings_Otop(_u1538) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u1539, _u1538)), _u1540) = c_Orderings_Otop__class_Otop(_u1538)) )).
% 12.29/12.52 cnf(matrix-1535, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1541, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1542, _u1541, _u1543), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1542, tc_HOL_Obool)), _u1544), _u1545))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1541, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1542, _u1541, _u1543), _u1544)), hAPP(c_Set_Oimage(_u1542, _u1541, _u1543), _u1545)))) )).
% 12.29/12.52 cnf(matrix-1536, plain, ( ( hAPP(c_Set_Oimage(_u1546, _u1547, _u1548), hAPP(c_Set_Oimage(_u1549, _u1546, _u1550), _u1551)) = hAPP(c_Set_Oimage(_u1549, _u1547, hAPP(hAPP(c_COMBB(_u1546, _u1547, _u1549), _u1548), _u1550)), _u1551)) )).
% 12.29/12.52 cnf(matrix-1537, plain, ( ( hAPP(c_Set_Oimage(_u1552, _u1553, _u1554), _u1555) != _u1556) | ( hAPP(c_Set_Oimage(tc_fun(_u1552, tc_HOL_Obool), tc_fun(_u1553, tc_HOL_Obool), c_Set_Oimage(_u1552, _u1553, _u1554)), hAPP(c_Set_OPow(_u1552), _u1555)) = hAPP(c_Set_OPow(_u1553), _u1556)) )).
% 12.29/12.52 cnf(matrix-1538, plain, ( ( hAPP(c_Set_OPow(_u1557), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1557, tc_HOL_Obool)), _u1558), _u1559)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1557, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1557), _u1558)), hAPP(c_Set_OPow(_u1557), _u1559))) )).
% 12.29/12.52 cnf(matrix-1539, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1560, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u1560, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u1560, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1540, plain, ( ( hAPP(c_Set_OPow(_u1561), c_Orderings_Otop__class_Otop(tc_fun(_u1561, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u1561, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1541, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1562) | ( c_Complete__Lattice_OSup__class_OSup(_u1562, c_Orderings_Otop__class_Otop(tc_fun(_u1562, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u1562)) )).
% 12.29/12.52 cnf(matrix-1542, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1563), _u1564), _u1565)) | ( _u1566 != hAPP(_u1567, _u1564)) | hBOOL(hAPP(hAPP(c_member(_u1568), _u1566), hAPP(c_Set_Oimage(_u1563, _u1568, _u1567), _u1565))) )).
% 12.29/12.52 cnf(matrix-1543, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1569), _u1570), _u1571)) | hBOOL(hAPP(hAPP(c_member(_u1572), hAPP(_u1573, _u1570)), hAPP(c_Set_Oimage(_u1569, _u1572, _u1573), _u1571))) )).
% 12.29/12.52 cnf(matrix-1544, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1581), _u1583), hAPP(c_Set_Oimage(_u1585, _u1581, _u1587), _u1589))) | hBOOL(hAPP(hAPP(c_member(_u1585), skolem48(_u1589, _u1587, _u1585, _u1583)), _u1589)) )).
% 12.29/12.52 cnf(matrix-1545, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1581), _u1583), hAPP(c_Set_Oimage(_u1585, _u1581, _u1587), _u1589))) | ( _u1583 = hAPP(_u1587, skolem48(_u1589, _u1587, _u1585, _u1583))) )).
% 12.29/12.52 cnf(matrix-1546, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1586), _u1575), _u1590)) | ( _u1584 != hAPP(_u1588, _u1575)) | hBOOL(hAPP(hAPP(c_member(_u1582), _u1584), hAPP(c_Set_Oimage(_u1586, _u1582, _u1588), _u1590))) )).
% 12.29/12.52 cnf(matrix-1547, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1591, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u1591, tc_HOL_Obool), tc_HOL_Obool)), _u1592), _u1593))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1591, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1591, tc_HOL_Obool), _u1592)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1591, tc_HOL_Obool), _u1593)))) )).
% 12.29/12.52 cnf(matrix-1548, plain, ( ~class_Lattices_Osemilattice__inf(_u1594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1594), _u1596), _u1597))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), _u1596)) )).
% 12.29/12.52 cnf(matrix-1549, plain, ( ~class_Lattices_Osemilattice__inf(_u1594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1594), _u1596), _u1597))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1594), _u1595), _u1597)) )).
% 12.29/12.52 cnf(matrix-1550, plain, ( ~class_Lattices_Osemilattice__inf(_u1598) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1598), _u1599), _u1600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1598), _u1601), _u1602)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1598), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1598), _u1599), _u1601)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1598), _u1600), _u1602))) )).
% 12.29/12.52 cnf(matrix-1551, plain, ( ~class_Lattices_Osemilattice__inf(_u1603) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1603), _u1604), _u1605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1603), _u1604), _u1606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1603), _u1604), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1603), _u1605), _u1606))) )).
% 12.29/12.52 cnf(matrix-1552, plain, ( ~class_Lattices_Osemilattice__inf(_u1607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1607), _u1608), _u1609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1607), _u1608), _u1610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1607), _u1608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1607), _u1609), _u1610))) )).
% 12.29/12.52 cnf(matrix-1553, plain, ( ~class_Lattices_Osemilattice__inf(_u1611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1611), _u1612), _u1613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1611), _u1613), _u1612) = _u1612) )).
% 12.29/12.52 cnf(matrix-1554, plain, ( ~class_Lattices_Osemilattice__inf(_u1614) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1614), _u1615), _u1616)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1614), _u1615), _u1616) = _u1615) )).
% 12.29/12.52 cnf(matrix-1555, plain, ( ~class_Lattices_Osemilattice__inf(_u1617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1617), _u1618), _u1619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1617), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1617), _u1620), _u1618)), _u1619)) )).
% 12.29/12.52 cnf(matrix-1556, plain, ( ~class_Lattices_Osemilattice__inf(_u1621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1621), _u1622), _u1623)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1621), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1621), _u1622), _u1624)), _u1623)) )).
% 12.29/12.52 cnf(matrix-1557, plain, ( ~class_Lattices_Osemilattice__inf(_u1625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1625), _u1627), _u1628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1627)) )).
% 12.29/12.52 cnf(matrix-1558, plain, ( ~class_Lattices_Osemilattice__inf(_u1625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1625), _u1627), _u1628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1628)) )).
% 12.29/12.52 cnf(matrix-1559, plain, ( ~class_Lattices_Osemilattice__inf(_u1625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), _u1628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1625), _u1626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1625), _u1627), _u1628))) )).
% 12.29/12.52 cnf(matrix-1560, plain, ( ~class_Lattices_Osemilattice__inf(_u1629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1629), _u1630), _u1631) = _u1630) )).
% 12.29/12.52 cnf(matrix-1561, plain, ( ~class_Lattices_Osemilattice__inf(_u1629) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1629), _u1630), _u1631) != _u1630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1629), _u1630), _u1631)) )).
% 12.29/12.52 cnf(matrix-1562, plain, ( ~class_Lattices_Osemilattice__inf(_u1632) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1632), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1632), _u1633), _u1634)), _u1634)) )).
% 12.29/12.52 cnf(matrix-1563, plain, ( ~class_Lattices_Olattice(_u1635) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1635), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1635), _u1636), _u1637)), _u1637)) )).
% 12.29/12.52 cnf(matrix-1564, plain, ( ~class_Lattices_Osemilattice__inf(_u1638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1638), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1638), _u1639), _u1640)), _u1639)) )).
% 12.29/12.52 cnf(matrix-1565, plain, ( ~class_Lattices_Olattice(_u1641) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1641), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1641), _u1642), _u1643)), _u1642)) )).
% 12.29/12.52 cnf(matrix-1566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1644, tc_HOL_Obool)), _u1645), _u1646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1647, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1644, _u1647, _u1648), _u1645)), hAPP(c_Set_Oimage(_u1644, _u1647, _u1648), _u1646))) )).
% 12.29/12.52 cnf(matrix-1567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1656, tc_HOL_Obool)), _u1658), hAPP(c_Set_Oimage(_u1660, _u1656, _u1662), _u1664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1660, tc_HOL_Obool)), skolem49(_u1664, _u1662, _u1660, _u1658, _u1656)), _u1664)) )).
% 12.29/12.52 cnf(matrix-1568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1656, tc_HOL_Obool)), _u1658), hAPP(c_Set_Oimage(_u1660, _u1656, _u1662), _u1664))) | ( _u1658 = hAPP(c_Set_Oimage(_u1660, _u1656, _u1662), skolem49(_u1664, _u1662, _u1660, _u1658, _u1656))) )).
% 12.29/12.52 cnf(matrix-1569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1661, tc_HOL_Obool)), _u1650), _u1665)) | ( _u1659 != hAPP(c_Set_Oimage(_u1661, _u1657, _u1663), _u1650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1657, tc_HOL_Obool)), _u1659), hAPP(c_Set_Oimage(_u1661, _u1657, _u1663), _u1665))) )).
% 12.29/12.52 cnf(matrix-1570, plain, ( ( hAPP(c_Set_Oimage(_u1666, _u1667, _u1668), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1666, tc_HOL_Obool)), _u1669), _u1670)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1667, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1666, _u1667, _u1668), _u1669)), hAPP(c_Set_Oimage(_u1666, _u1667, _u1668), _u1670))) )).
% 12.29/12.52 cnf(matrix-1571, plain, ( ~class_Lattices_Odistrib__lattice(_u1671) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1671), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1671), _u1672), _u1673)), _u1674) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1671), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1671), _u1672), _u1674)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1671), _u1673), _u1674))) )).
% 12.29/12.52 cnf(matrix-1572, plain, ( ~class_Lattices_Odistrib__lattice(_u1675) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1675), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1675), _u1676), _u1677)), _u1678) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1675), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1675), _u1676), _u1678)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1675), _u1677), _u1678))) )).
% 12.29/12.52 cnf(matrix-1573, plain, ( ~class_Lattices_Odistrib__lattice(_u1679) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1679), _u1680), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1679), _u1681), _u1682)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1679), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1679), _u1680), _u1681)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1679), _u1680), _u1682))) )).
% 12.29/12.52 cnf(matrix-1574, plain, ( ~class_Lattices_Odistrib__lattice(_u1683) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1683), _u1684), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1683), _u1685), _u1686)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1683), _u1684), _u1685)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1683), _u1684), _u1686))) )).
% 12.29/12.52 cnf(matrix-1575, plain, ( ~class_Lattices_Olattice(_u1687) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1687), _u1688), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1687), _u1688), _u1689)) = _u1688) )).
% 12.29/12.52 cnf(matrix-1576, plain, ( ~class_Lattices_Olattice(_u1690) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1690), _u1691), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1690), _u1691), _u1692)) = _u1691) )).
% 12.29/12.52 cnf(matrix-1577, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1693), _u1694), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1693, tc_HOL_Obool)), _u1695), _u1696))) | hBOOL(hAPP(hAPP(c_member(_u1693), _u1694), _u1696)) )).
% 12.29/12.52 cnf(matrix-1578, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1697), _u1698), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1697, tc_HOL_Obool)), _u1699), _u1700))) | hBOOL(hAPP(hAPP(c_member(_u1697), _u1698), _u1699)) )).
% 12.29/12.52 cnf(matrix-1579, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1705, tc_HOL_Obool)), _u1709), _u1711))) | hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), _u1709)) )).
% 12.29/12.52 cnf(matrix-1580, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1705, tc_HOL_Obool)), _u1709), _u1711))) | hBOOL(hAPP(hAPP(c_member(_u1705), _u1707), _u1711)) )).
% 12.29/12.52 cnf(matrix-1581, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1706), _u1708), _u1710)) | ~hBOOL(hAPP(hAPP(c_member(_u1706), _u1708), _u1712)) | hBOOL(hAPP(hAPP(c_member(_u1706), _u1708), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1706, tc_HOL_Obool)), _u1710), _u1712))) )).
% 12.29/12.52 cnf(matrix-1582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1713, tc_HOL_Obool)), _u1714), _u1715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1713, tc_HOL_Obool)), _u1716), _u1717)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1713, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1713, tc_HOL_Obool)), _u1714), _u1716)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1713, tc_HOL_Obool)), _u1715), _u1717))) )).
% 12.29/12.52 cnf(matrix-1583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1719), _u1720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1719), _u1721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1719), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1718, tc_HOL_Obool)), _u1720), _u1721))) )).
% 12.29/12.52 cnf(matrix-1584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1722, tc_HOL_Obool)), _u1723), _u1724)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1722, tc_HOL_Obool)), _u1724), _u1723) = _u1723) )).
% 12.29/12.52 cnf(matrix-1585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1725, tc_HOL_Obool)), _u1726), _u1727)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1725, tc_HOL_Obool)), _u1726), _u1727) = _u1726) )).
% 12.29/12.52 cnf(matrix-1586, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1728, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1728, tc_HOL_Obool)), _u1729), _u1730)), _u1730)) )).
% 12.29/12.52 cnf(matrix-1587, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1731, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1731, tc_HOL_Obool)), _u1732), _u1733)), _u1732)) )).
% 12.29/12.52 cnf(matrix-1588, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), _u1735), _u1736)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), _u1736), _u1737))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), _u1737), _u1735)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1734, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), _u1735), _u1736)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), _u1736), _u1737))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1734, tc_HOL_Obool)), _u1737), _u1735))) )).
% 12.29/12.52 cnf(matrix-1589, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1738, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1738, tc_HOL_Obool)), _u1739), _u1740)), _u1741) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1738, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1738, tc_HOL_Obool)), _u1739), _u1741)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1738, tc_HOL_Obool)), _u1740), _u1741))) )).
% 12.29/12.52 cnf(matrix-1590, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1742, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1742, tc_HOL_Obool)), _u1743), _u1744)), _u1745) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1742, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1742, tc_HOL_Obool)), _u1743), _u1745)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1742, tc_HOL_Obool)), _u1744), _u1745))) )).
% 12.29/12.52 cnf(matrix-1591, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1746, tc_HOL_Obool)), _u1747), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1746, tc_HOL_Obool)), _u1748), _u1749)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1746, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1746, tc_HOL_Obool)), _u1747), _u1748)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1746, tc_HOL_Obool)), _u1747), _u1749))) )).
% 12.29/12.52 cnf(matrix-1592, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1751), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1750, tc_HOL_Obool)), _u1752), _u1753)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1750, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1751), _u1752)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1750, tc_HOL_Obool)), _u1751), _u1753))) )).
% 12.29/12.52 cnf(matrix-1593, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1754, tc_HOL_Obool)), _u1755), c_Orderings_Otop__class_Otop(tc_fun(_u1754, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1594, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1756, tc_HOL_Obool)), _u1757), c_Orderings_Otop__class_Otop(tc_fun(_u1756, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u1756, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1595, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1758, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1758, tc_HOL_Obool))), _u1759) = c_Orderings_Otop__class_Otop(tc_fun(_u1758, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1596, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1760, tc_fun(_u1761, tc_HOL_Obool)), _u1762), hAPP(hAPP(c_COMBS(_u1760, tc_fun(_u1761, tc_HOL_Obool), tc_fun(_u1761, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1761, tc_HOL_Obool), tc_fun(tc_fun(_u1761, tc_HOL_Obool), tc_fun(_u1761, tc_HOL_Obool)), _u1760), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool))), _u1763)), _u1764)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1761, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1761, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1760, tc_fun(_u1761, tc_HOL_Obool), _u1763), _u1762))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1761, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1760, tc_fun(_u1761, tc_HOL_Obool), _u1764), _u1762)))) )).
% 12.29/12.52 cnf(matrix-1597, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1765, tc_fun(_u1766, tc_HOL_Obool)), _u1767), hAPP(hAPP(c_COMBB(_u1768, tc_fun(_u1766, tc_HOL_Obool), _u1765), _u1769), _u1770)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1768, tc_fun(_u1766, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1765, _u1768, _u1770), _u1767)), _u1769)) )).
% 12.29/12.52 cnf(matrix-1598, plain, ( ( hAPP(c_Set_Oimage(_u1771, _u1772, _u1773), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1774, tc_fun(_u1771, tc_HOL_Obool)), _u1775), _u1776)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1774, tc_fun(_u1772, tc_HOL_Obool)), _u1775), hAPP(hAPP(c_COMBB(tc_fun(_u1771, tc_HOL_Obool), tc_fun(_u1772, tc_HOL_Obool), _u1774), c_Set_Oimage(_u1771, _u1772, _u1773)), _u1776))) )).
% 12.29/12.52 cnf(matrix-1599, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1777, tc_fun(_u1778, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1779, _u1777, _u1780), _u1781)), _u1782) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1779, tc_fun(_u1778, tc_HOL_Obool)), _u1781), hAPP(hAPP(c_COMBB(_u1777, tc_fun(_u1778, tc_HOL_Obool), _u1779), _u1782), _u1780))) )).
% 12.29/12.52 cnf(matrix-1600, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1783, tc_fun(_u1784, tc_HOL_Obool)), _u1785), hAPP(hAPP(c_COMBB(_u1786, tc_fun(_u1784, tc_HOL_Obool), _u1783), _u1787), _u1788)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1786, tc_fun(_u1784, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1783, _u1786, _u1788), _u1785)), _u1787)) )).
% 12.29/12.52 cnf(matrix-1601, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1789, tc_fun(_u1790, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1791, _u1789, _u1792), _u1793)), _u1794) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1791, tc_fun(_u1790, tc_HOL_Obool)), _u1793), hAPP(hAPP(c_COMBB(_u1789, tc_fun(_u1790, tc_HOL_Obool), _u1791), _u1794), _u1792))) )).
% 12.29/12.52 cnf(matrix-1602, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1799, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1799, tc_fun(_u1799, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1799)), _u1801)), hAPP(hAPP(c_COMBC(_u1799, tc_fun(_u1799, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1799)), _u1803)), _u1805)) | hBOOL(hAPP(hAPP(c_member(_u1799), _u1805), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1799, tc_HOL_Obool)), _u1801), _u1803))) )).
% 12.29/12.52 cnf(matrix-1603, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1800), _u1806), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1800, tc_HOL_Obool)), _u1802), _u1804))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1800, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u1800, tc_fun(_u1800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1800)), _u1802)), hAPP(hAPP(c_COMBC(_u1800, tc_fun(_u1800, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1800)), _u1804)), _u1806)) )).
% 12.29/12.52 cnf(matrix-1604, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1807, tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_COMBB(tc_fun(_u1808, tc_HOL_Obool), tc_fun(_u1808, tc_HOL_Obool), _u1807), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1808, tc_HOL_Obool)), _u1810)), _u1811)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1808, tc_HOL_Obool)), _u1810), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1807, tc_fun(_u1808, tc_HOL_Obool)), _u1809), _u1811))) )).
% 12.29/12.52 cnf(matrix-1605, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1812, tc_fun(_u1813, tc_HOL_Obool)), _u1814), hAPP(hAPP(c_COMBC(_u1812, tc_fun(_u1813, tc_HOL_Obool), tc_fun(_u1813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1813, tc_HOL_Obool), tc_fun(tc_fun(_u1813, tc_HOL_Obool), tc_fun(_u1813, tc_HOL_Obool)), _u1812), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1813, tc_HOL_Obool))), _u1815)), _u1816)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1813, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1812, tc_fun(_u1813, tc_HOL_Obool)), _u1814), _u1815)), _u1816)) )).
% 12.29/12.52 cnf(matrix-1606, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1817, tc_HOL_Obool)), _u1818), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1819, tc_fun(_u1817, tc_HOL_Obool)), _u1820), _u1821)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1819, tc_fun(_u1817, tc_HOL_Obool)), _u1820), hAPP(hAPP(c_COMBB(tc_fun(_u1817, tc_HOL_Obool), tc_fun(_u1817, tc_HOL_Obool), _u1819), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1817, tc_HOL_Obool)), _u1818)), _u1821))) )).
% 12.29/12.52 cnf(matrix-1607, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1822, tc_HOL_Obool)), _u1823), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1824, tc_fun(_u1822, tc_HOL_Obool)), _u1825), _u1826)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1824, tc_fun(_u1822, tc_HOL_Obool)), _u1825), hAPP(hAPP(c_COMBB(tc_fun(_u1822, tc_HOL_Obool), tc_fun(_u1822, tc_HOL_Obool), _u1824), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1822, tc_HOL_Obool)), _u1823)), _u1826))) )).
% 12.29/12.52 cnf(matrix-1608, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1827, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1828, tc_fun(_u1827, tc_HOL_Obool)), _u1829), _u1830)), _u1831) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1828, tc_fun(_u1827, tc_HOL_Obool)), _u1829), hAPP(hAPP(c_COMBC(_u1828, tc_fun(_u1827, tc_HOL_Obool), tc_fun(_u1827, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1827, tc_HOL_Obool), tc_fun(tc_fun(_u1827, tc_HOL_Obool), tc_fun(_u1827, tc_HOL_Obool)), _u1828), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1827, tc_HOL_Obool))), _u1830)), _u1831))) )).
% 12.29/12.52 cnf(matrix-1609, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1833, tc_fun(_u1832, tc_HOL_Obool)), _u1834), _u1835)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1836, tc_fun(_u1832, tc_HOL_Obool)), _u1837), _u1838)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1833, tc_fun(_u1832, tc_HOL_Obool)), _u1834), hAPP(hAPP(c_COMBB(tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool)), tc_fun(_u1832, tc_HOL_Obool), _u1833), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1836, tc_fun(_u1832, tc_HOL_Obool)), _u1837)), hAPP(hAPP(c_COMBC(_u1833, tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool)), tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u1832, tc_HOL_Obool), tc_fun(_u1832, tc_HOL_Obool)), tc_fun(tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool)), tc_fun(_u1836, tc_fun(_u1832, tc_HOL_Obool))), _u1833), c_COMBB(tc_fun(_u1832, tc_HOL_Obool), tc_fun(_u1832, tc_HOL_Obool), _u1836)), hAPP(hAPP(c_COMBB(tc_fun(_u1832, tc_HOL_Obool), tc_fun(tc_fun(_u1832, tc_HOL_Obool), tc_fun(_u1832, tc_HOL_Obool)), _u1833), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool))), _u1835))), _u1838)))) )).
% 12.29/12.52 cnf(matrix-1610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1839, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1840, _u1839, _u1841), _u1842)), _u1843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1839, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u1840, tc_HOL_Obool), tc_fun(_u1839, tc_HOL_Obool), c_Set_Oimage(_u1840, _u1839, _u1841)), hAPP(c_Set_OPow(_u1840), _u1842))), hAPP(c_Set_OPow(_u1839), _u1843))) )).
% 12.29/12.52 cnf(matrix-1611, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1844, tc_fun(_u1845, tc_HOL_Obool)), _u1846), hAPP(hAPP(c_COMBS(_u1844, tc_fun(_u1845, tc_HOL_Obool), tc_fun(_u1845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1845, tc_HOL_Obool), tc_fun(tc_fun(_u1845, tc_HOL_Obool), tc_fun(_u1845, tc_HOL_Obool)), _u1844), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1845, tc_HOL_Obool))), _u1847)), _u1848)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1845, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1844, tc_fun(_u1845, tc_HOL_Obool)), _u1846), _u1847)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1844, tc_fun(_u1845, tc_HOL_Obool)), _u1846), _u1848))) )).
% 12.29/12.52 cnf(matrix-1612, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u1855, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1857, tc_fun(_u1855, tc_HOL_Obool)), _u1859), _u1861)) | ~hBOOL(hAPP(hAPP(c_member(_u1857), _u1849), _u1859)) | ( hAPP(_u1861, _u1849) = c_Orderings_Otop__class_Otop(tc_fun(_u1855, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1613, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u1856, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1858, tc_fun(_u1856, tc_HOL_Obool)), _u1860), _u1862)) | hBOOL(hAPP(hAPP(c_member(_u1858), skolem50(_u1862, _u1860, _u1858, _u1856)), _u1860)) )).
% 12.29/12.52 cnf(matrix-1614, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u1856, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1858, tc_fun(_u1856, tc_HOL_Obool)), _u1860), _u1862)) | ( hAPP(_u1862, skolem50(_u1862, _u1860, _u1858, _u1856)) != c_Orderings_Otop__class_Otop(tc_fun(_u1856, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1615, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1869, tc_fun(_u1871, tc_HOL_Obool)), _u1873), _u1875) != c_Orderings_Otop__class_Otop(tc_fun(_u1871, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1863), _u1873)) | ( hAPP(_u1875, _u1863) = c_Orderings_Otop__class_Otop(tc_fun(_u1871, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1616, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1870, tc_fun(_u1872, tc_HOL_Obool)), _u1874), _u1876) = c_Orderings_Otop__class_Otop(tc_fun(_u1872, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1870), skolem51(_u1876, _u1874, _u1872, _u1870)), _u1874)) )).
% 12.29/12.52 cnf(matrix-1617, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1870, tc_fun(_u1872, tc_HOL_Obool)), _u1874), _u1876) = c_Orderings_Otop__class_Otop(tc_fun(_u1872, tc_HOL_Obool))) | ( hAPP(_u1876, skolem51(_u1876, _u1874, _u1872, _u1870)) != c_Orderings_Otop__class_Otop(tc_fun(_u1872, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1618, plain, ( ~class_Orderings_Otop(_u1877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1877), _u1878), c_Orderings_Otop__class_Otop(_u1877))) )).
% 12.29/12.52 cnf(matrix-1619, plain, ( ~class_Lattices_Obounded__lattice__top(_u1879) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1879), _u1880), c_Orderings_Otop__class_Otop(_u1879)) = c_Orderings_Otop__class_Otop(_u1879)) )).
% 12.29/12.52 cnf(matrix-1620, plain, ( ~class_Lattices_Obounded__lattice__top(_u1881) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1881), c_Orderings_Otop__class_Otop(_u1881)), _u1882) = c_Orderings_Otop__class_Otop(_u1881)) )).
% 12.29/12.52 cnf(matrix-1621, plain, ( ~class_Lattices_Olattice(_u1883) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1883), _u1885), _u1886))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1883), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1885)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1883), _u1884), _u1886)))) )).
% 12.29/12.52 cnf(matrix-1622, plain, ( ~class_Lattices_Olattice(_u1887) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1887), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1887), _u1888), _u1889)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1887), _u1888), _u1890))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1887), _u1888), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1887), _u1889), _u1890)))) )).
% 12.29/12.52 cnf(matrix-1623, plain, ( ~class_Lattices_Oboolean__algebra(_u1891) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1891), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1891), _u1892), _u1893)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1891), hAPP(c_Groups_Ouminus__class_Ouminus(_u1891), _u1892)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1891), _u1893))) )).
% 12.29/12.52 cnf(matrix-1624, plain, ( ~class_Lattices_Oboolean__algebra(_u1894) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1894), _u1895), _u1896)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1894), hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), _u1895)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1894), _u1896))) )).
% 12.29/12.52 cnf(matrix-1625, plain, ( ~class_Groups_Oordered__ab__group__add(_u1897) | ( hAPP(c_Set_Oimage(_u1897, _u1897, c_Groups_Ouminus__class_Ouminus(_u1897)), c_SetInterval_Oord__class_OatLeastAtMost(_u1897, _u1898, _u1899)) = c_SetInterval_Oord__class_OatLeastAtMost(_u1897, hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), _u1899), hAPP(c_Groups_Ouminus__class_Ouminus(_u1897), _u1898))) )).
% 12.29/12.52 cnf(matrix-1626, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1904, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1904, tc_HOL_Obool)), _u1906), _u1908)), _u1910) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1904, tc_HOL_Obool)), _u1906), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1904, tc_HOL_Obool)), _u1908), _u1910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1904, tc_HOL_Obool)), _u1910), _u1906)) )).
% 12.29/12.52 cnf(matrix-1627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1905, tc_HOL_Obool)), _u1911), _u1907)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1905, tc_HOL_Obool)), _u1907), _u1909)), _u1911) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1905, tc_HOL_Obool)), _u1907), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1905, tc_HOL_Obool)), _u1909), _u1911))) )).
% 12.29/12.52 cnf(matrix-1628, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1912, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1912, tc_HOL_Obool)), _u1913), _u1914)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1912, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1912, tc_HOL_Obool)), _u1913)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1912, tc_HOL_Obool)), _u1914))) )).
% 12.29/12.52 cnf(matrix-1629, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1915, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1915, tc_HOL_Obool)), _u1916), _u1917)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1915, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1915, tc_HOL_Obool)), _u1916)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1915, tc_HOL_Obool)), _u1917))) )).
% 12.29/12.52 cnf(matrix-1630, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1918, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1918, tc_HOL_Obool)), _u1919)), _u1919) = c_Orderings_Otop__class_Otop(tc_fun(_u1918, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1631, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1920, tc_HOL_Obool)), _u1921), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1920, tc_HOL_Obool)), _u1921)) = c_Orderings_Otop__class_Otop(tc_fun(_u1920, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1632, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1922, tc_fun(_u1923, tc_HOL_Obool)), _u1924), _u1925) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1923, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1922, tc_fun(_u1923, tc_HOL_Obool), _u1925), _u1924))) )).
% 12.29/12.52 cnf(matrix-1633, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1926, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1927, tc_fun(_u1926, tc_HOL_Obool), _u1928), _u1929)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1927, tc_fun(_u1926, tc_HOL_Obool)), _u1929), _u1928)) )).
% 12.29/12.52 cnf(matrix-1634, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1930), _u1931), _u1932)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1933, tc_HOL_Obool)), hAPP(_u1934, _u1931)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1930, tc_fun(_u1933, tc_HOL_Obool)), _u1932), _u1934)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1930, tc_fun(_u1933, tc_HOL_Obool)), _u1932), _u1934)) )).
% 12.29/12.52 cnf(matrix-1635, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1935, tc_fun(_u1936, tc_HOL_Obool)), _u1937), _u1938) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1936, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1935, tc_fun(_u1936, tc_HOL_Obool), _u1938), _u1937))) )).
% 12.29/12.52 cnf(matrix-1636, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1939, tc_HOL_Obool), hAPP(c_Set_Oimage(_u1940, tc_fun(_u1939, tc_HOL_Obool), _u1941), _u1942)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1940, tc_fun(_u1939, tc_HOL_Obool)), _u1942), _u1941)) )).
% 12.29/12.52 cnf(matrix-1637, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1943, tc_fun(_u1944, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1943, tc_HOL_Obool)), _u1945), _u1946)), _u1947) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1944, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1943, tc_fun(_u1944, tc_HOL_Obool)), _u1945), _u1947)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1943, tc_fun(_u1944, tc_HOL_Obool)), _u1946), _u1947))) )).
% 12.29/12.52 cnf(matrix-1638, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1952, tc_fun(_u1954, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1952, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1954, tc_HOL_Obool), tc_fun(_u1954, tc_HOL_Obool), _u1952), hAPP(c_COMBC(_u1954, tc_fun(_u1954, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1954))), _u1956)), _u1958)) | hBOOL(hAPP(hAPP(c_member(_u1954), _u1958), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1952, tc_fun(_u1954, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1952, tc_HOL_Obool))), _u1956))) )).
% 12.29/12.52 cnf(matrix-1639, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1955), _u1959), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1953, tc_fun(_u1955, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1953, tc_HOL_Obool))), _u1957))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u1953, tc_fun(_u1955, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1953, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1955, tc_HOL_Obool), tc_fun(_u1955, tc_HOL_Obool), _u1953), hAPP(c_COMBC(_u1955, tc_fun(_u1955, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1955))), _u1957)), _u1959)) )).
% 12.29/12.52 cnf(matrix-1640, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1964, tc_fun(_u1966, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1964, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1966, tc_HOL_Obool), tc_fun(_u1966, tc_HOL_Obool), _u1964), hAPP(c_COMBC(_u1966, tc_fun(_u1966, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1966))), _u1968)), _u1970)) | hBOOL(hAPP(hAPP(c_member(_u1966), _u1970), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1964, tc_fun(_u1966, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1964, tc_HOL_Obool))), _u1968))) )).
% 12.29/12.52 cnf(matrix-1641, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1967), _u1971), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1965, tc_fun(_u1967, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1965, tc_HOL_Obool))), _u1969))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u1965, tc_fun(_u1967, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u1965, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u1967, tc_HOL_Obool), tc_fun(_u1967, tc_HOL_Obool), _u1965), hAPP(c_COMBC(_u1967, tc_fun(_u1967, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1967))), _u1969)), _u1971)) )).
% 12.29/12.52 cnf(matrix-1642, plain, ( ( hAPP(c_Set_Oimage(_u1972, _u1973, _u1974), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1972, tc_HOL_Obool), _u1975)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u1972, tc_HOL_Obool), tc_fun(_u1973, tc_HOL_Obool)), _u1975), c_Set_Oimage(_u1972, _u1973, _u1974))) )).
% 12.29/12.52 cnf(matrix-1643, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1976, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1976, tc_HOL_Obool), tc_HOL_Obool)), _u1977), _u1978)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1976, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1976, tc_HOL_Obool), _u1977)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u1976, tc_HOL_Obool), _u1978))) )).
% 12.29/12.52 cnf(matrix-1644, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1979, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1979, tc_HOL_Obool), _u1980)), _u1981) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u1979, tc_HOL_Obool), tc_fun(_u1979, tc_HOL_Obool)), _u1980), hAPP(hAPP(c_COMBC(tc_fun(_u1979, tc_HOL_Obool), tc_fun(_u1979, tc_HOL_Obool), tc_fun(_u1979, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1979, tc_HOL_Obool))), _u1981))) )).
% 12.29/12.52 cnf(matrix-1645, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1982, tc_HOL_Obool)), _u1983), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u1982, tc_HOL_Obool), _u1984)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u1982, tc_HOL_Obool), tc_fun(_u1982, tc_HOL_Obool)), _u1984), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1982, tc_HOL_Obool)), _u1983))) )).
% 12.29/12.52 cnf(matrix-1646, plain, ( ~class_Groups_Oordered__ab__group__add(_u1985) | ( hAPP(c_Set_Oimage(_u1985, _u1985, c_Groups_Ouminus__class_Ouminus(_u1985)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u1985, _u1986, _u1987)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1985, hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1987)), hAPP(c_Groups_Ouminus__class_Ouminus(_u1985), _u1986))) )).
% 12.29/12.52 cnf(matrix-1647, plain, ( ~class_Groups_Oordered__ab__group__add(_u1988) | ( hAPP(c_Set_Oimage(_u1988, _u1988, c_Groups_Ouminus__class_Ouminus(_u1988)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u1988, _u1989), _u1990)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u1988, hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1990), hAPP(c_Groups_Ouminus__class_Ouminus(_u1988), _u1989))) )).
% 12.29/12.52 cnf(matrix-1648, plain, ( ~class_Lattices_Oboolean__algebra(_u1991) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1991), hAPP(c_Groups_Ouminus__class_Ouminus(_u1991), _u1992)), _u1992) = c_Orderings_Otop__class_Otop(_u1991)) )).
% 12.29/12.52 cnf(matrix-1649, plain, ( ( hAPP(c_Set_Oimage(_u1993, _u1994, _u1995), c_Orderings_Otop__class_Otop(tc_fun(_u1993, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u1994, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1994, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1994, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1993, _u1994, _u1995), _u1996))), hAPP(c_Set_Oimage(_u1993, _u1994, _u1995), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1993, tc_HOL_Obool)), _u1996)))) )).
% 12.29/12.52 cnf(matrix-1650, plain, ( ( hAPP(c_Set_Oimage(_u1998, tc_fun(_u1998, tc_HOL_Obool), _u1997), _u1999) != hAPP(c_Set_OPow(_u1998), _u1999)) )).
% 12.29/12.52 cnf(matrix-1651, plain, ( ~class_Orderings_Oorder(_u2002) | ~class_Orderings_Oorder(_u2003) | ~c_Orderings_Oorder__class_Omono(_u2003, _u2002, _u2004) | ( c_Orderings_Oord__class_OLeast(_u2002, hAPP(hAPP(c_COMBC(_u2002, tc_fun(_u2002, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2002)), hAPP(c_Set_Oimage(_u2003, _u2002, _u2004), _u2005))) = hAPP(_u2004, c_Orderings_Oord__class_OLeast(_u2003, hAPP(hAPP(c_COMBC(_u2003, tc_fun(_u2003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2003)), _u2005)))) | ~hBOOL(hAPP(hAPP(c_member(_u2003), _u2001), _u2005)) | hBOOL(hAPP(hAPP(c_member(_u2003), skolem52(_u2005, _u2004, _u2003, _u2002, _u2001)), _u2005)) )).
% 12.29/12.52 cnf(matrix-1652, plain, ( ~class_Orderings_Oorder(_u2002) | ~class_Orderings_Oorder(_u2003) | ~c_Orderings_Oorder__class_Omono(_u2003, _u2002, _u2004) | ( c_Orderings_Oord__class_OLeast(_u2002, hAPP(hAPP(c_COMBC(_u2002, tc_fun(_u2002, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2002)), hAPP(c_Set_Oimage(_u2003, _u2002, _u2004), _u2005))) = hAPP(_u2004, c_Orderings_Oord__class_OLeast(_u2003, hAPP(hAPP(c_COMBC(_u2003, tc_fun(_u2003, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2003)), _u2005)))) | ~hBOOL(hAPP(hAPP(c_member(_u2003), _u2001), _u2005)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2003), _u2001), skolem52(_u2005, _u2004, _u2003, _u2002, _u2001))) )).
% 12.29/12.52 cnf(matrix-1653, plain, ( ~class_Lattices_Oboolean__algebra(_u2006) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2006), _u2007), _u2008) != c_Orderings_Obot__class_Obot(_u2006)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2006), _u2007), _u2008) != c_Orderings_Otop__class_Otop(_u2006)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2006), _u2007) = _u2008) )).
% 12.29/12.52 cnf(matrix-1654, plain, ( ( hAPP(c_Set_Oimage(_u2009, _u2009, c_COMBI(_u2009)), _u2010) = _u2010) )).
% 12.29/12.52 cnf(matrix-1655, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2013), hAPP(c_Set_Oimage(_u2014, _u2012, _u2015), _u2016))) | ( _u2013 = hAPP(_u2015, skolem53(_u2016, _u2015, _u2014, _u2013))) )).
% 12.29/12.52 cnf(matrix-1656, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2012), _u2013), hAPP(c_Set_Oimage(_u2014, _u2012, _u2015), _u2016))) | hBOOL(hAPP(hAPP(c_member(_u2014), skolem53(_u2016, _u2015, _u2014, _u2013)), _u2016)) )).
% 12.29/12.52 cnf(matrix-1657, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2020, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2018, _u2020, _u2021), _u2019)), _u2022)) | hBOOL(hAPP(hAPP(c_member(_u2018), skolem54(_u2022, _u2021, _u2020, _u2019, _u2018)), _u2019)) )).
% 12.29/12.52 cnf(matrix-1658, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2020, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2018, _u2020, _u2021), _u2019)), _u2022)) | ~hBOOL(hAPP(hAPP(c_member(_u2020), hAPP(_u2021, skolem54(_u2022, _u2021, _u2020, _u2019, _u2018))), _u2022)) )).
% 12.29/12.52 cnf(matrix-1659, plain, ( ~class_Orderings_Oorder(_u2023) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2023, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2023, _u2024, _u2025)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2023), _u2025)) = c_Orderings_Obot__class_Obot(tc_fun(_u2023, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1660, plain, ( ~class_Orderings_Oorder(_u2026) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2026, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2026), _u2027)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2026, _u2027, _u2028)) = c_Orderings_Obot__class_Obot(tc_fun(_u2026, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1661, plain, ( ~class_Orderings_Oorder(_u2029) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2029, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u2029, _u2030, _u2031)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2029), _u2031)) = c_Orderings_Obot__class_Obot(tc_fun(_u2029, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1662, plain, ( ~class_Orderings_Oorder(_u2032) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2032, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2032, _u2033), _u2034)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2032), _u2034)) = c_Orderings_Obot__class_Obot(tc_fun(_u2032, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1663, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u2035, tc_HOL_Obool)), _u2036)) )).
% 12.29/12.52 cnf(matrix-1664, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2037), _u2038), c_Orderings_Obot__class_Obot(tc_fun(_u2037, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1665, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2039, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2039, tc_HOL_Obool))), _u2040)) )).
% 12.29/12.52 cnf(matrix-1666, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u2041, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u2041, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1667, plain, ( ~class_Orderings_Obot(_u2042) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2043, _u2042)), _u2044) = c_Orderings_Obot__class_Obot(_u2042)) )).
% 12.29/12.52 cnf(matrix-1668, plain, ( ~class_Orderings_Obot(_u2045) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2046, _u2045)), _u2047) = c_Orderings_Obot__class_Obot(_u2045)) )).
% 12.29/12.52 cnf(matrix-1669, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2048, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2048, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2048, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1670, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2049) | ( c_Complete__Lattice_OSup__class_OSup(_u2049, c_Orderings_Obot__class_Obot(tc_fun(_u2049, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u2049)) )).
% 12.29/12.52 cnf(matrix-1671, plain, ( hBOOL(hAPP(hAPP(c_member(_u2054), skolem55(_u2056, _u2054)), _u2056)) | ( _u2056 = c_Orderings_Obot__class_Obot(tc_fun(_u2054, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1672, plain, ( ( _u2057 != c_Orderings_Obot__class_Obot(tc_fun(_u2055, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2055), _u2051), _u2057)) )).
% 12.29/12.52 cnf(matrix-1673, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2062), _u2058), _u2064)) | ( _u2064 != c_Orderings_Obot__class_Obot(tc_fun(_u2062, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1674, plain, ( ( _u2065 = c_Orderings_Obot__class_Obot(tc_fun(_u2063, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2063), skolem56(_u2065, _u2063)), _u2065)) )).
% 12.29/12.52 cnf(matrix-1675, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2066), _u2067), c_Orderings_Obot__class_Obot(tc_fun(_u2066, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1676, plain, ( ( _u2068 != c_Orderings_Obot__class_Obot(tc_fun(_u2069, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2069), _u2070), _u2068)) )).
% 12.29/12.52 cnf(matrix-1677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2073, tc_HOL_Obool)), _u2075), c_Orderings_Obot__class_Obot(tc_fun(_u2073, tc_HOL_Obool)))) | ( _u2075 = c_Orderings_Obot__class_Obot(tc_fun(_u2073, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1678, plain, ( ( _u2076 != c_Orderings_Obot__class_Obot(tc_fun(_u2074, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2074, tc_HOL_Obool)), _u2076), c_Orderings_Obot__class_Obot(tc_fun(_u2074, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1679, plain, ( ( _u2087 = c_Orderings_Obot__class_Obot(tc_fun(_u2083, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2081, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u2083, _u2081, _u2085), _u2087)) )).
% 12.29/12.52 cnf(matrix-1680, plain, ( ( _u2088 != c_Orderings_Obot__class_Obot(tc_fun(_u2084, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2082, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u2084, _u2082, _u2086), _u2088)) )).
% 12.29/12.52 cnf(matrix-1681, plain, ( ( hAPP(c_Set_Oimage(_u2089, _u2090, _u2091), c_Orderings_Obot__class_Obot(tc_fun(_u2089, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2090, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1682, plain, ( ( hAPP(c_Set_Oimage(_u2096, _u2098, _u2100), _u2102) != c_Orderings_Obot__class_Obot(tc_fun(_u2098, tc_HOL_Obool))) | ( _u2102 = c_Orderings_Obot__class_Obot(tc_fun(_u2096, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1683, plain, ( ( _u2103 != c_Orderings_Obot__class_Obot(tc_fun(_u2097, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2097, _u2099, _u2101), _u2103) = c_Orderings_Obot__class_Obot(tc_fun(_u2099, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1684, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2104, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2104, tc_HOL_Obool))), _u2105) = _u2105) )).
% 12.29/12.52 cnf(matrix-1685, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2106, tc_HOL_Obool)), _u2107), c_Orderings_Obot__class_Obot(tc_fun(_u2106, tc_HOL_Obool))) = _u2107) )).
% 12.29/12.52 cnf(matrix-1686, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2111, tc_HOL_Obool)), _u2113), _u2115) != c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) | ( _u2113 = c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1687, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2111, tc_HOL_Obool)), _u2113), _u2115) != c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) | ( _u2115 = c_Orderings_Obot__class_Obot(tc_fun(_u2111, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1688, plain, ( ( _u2114 != c_Orderings_Obot__class_Obot(tc_fun(_u2112, tc_HOL_Obool))) | ( _u2116 != c_Orderings_Obot__class_Obot(tc_fun(_u2112, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2112, tc_HOL_Obool)), _u2114), _u2116) = c_Orderings_Obot__class_Obot(tc_fun(_u2112, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1689, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2117, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2117, tc_HOL_Obool))), _u2118) = c_Orderings_Obot__class_Obot(tc_fun(_u2117, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1690, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2119, tc_HOL_Obool)), _u2120), c_Orderings_Obot__class_Obot(tc_fun(_u2119, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2119, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1691, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2128, tc_HOL_Obool)), _u2130), _u2132) != c_Orderings_Obot__class_Obot(tc_fun(_u2128, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2128), _u2122), _u2130)) | ~hBOOL(hAPP(hAPP(c_member(_u2128), _u2121), _u2132)) | ( _u2122 != _u2121) )).
% 12.29/12.52 cnf(matrix-1692, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2129, tc_HOL_Obool)), _u2131), _u2133) = c_Orderings_Obot__class_Obot(tc_fun(_u2129, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2129), skolem57(_u2133, _u2131, _u2129)), _u2131)) )).
% 12.29/12.52 cnf(matrix-1693, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2129, tc_HOL_Obool)), _u2131), _u2133) = c_Orderings_Obot__class_Obot(tc_fun(_u2129, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2129), skolem58(_u2133, _u2131, _u2129)), _u2133)) )).
% 12.29/12.52 cnf(matrix-1694, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2129, tc_HOL_Obool)), _u2131), _u2133) = c_Orderings_Obot__class_Obot(tc_fun(_u2129, tc_HOL_Obool))) | ( skolem57(_u2133, _u2131, _u2129) = skolem58(_u2133, _u2131, _u2129)) )).
% 12.29/12.52 cnf(matrix-1695, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2134, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2134, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2134, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1696, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2135, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2135, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2135, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1697, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u2136, _u2137, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2136), tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1698, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u2138, _u2139, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2138), tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1699, plain, ( ( hAPP(c_Set_OPow(_u2140), _u2141) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2140, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1700, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2142, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u2142, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2142, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1701, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2143, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2143, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u2143, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1702, plain, ( ~class_Orderings_Oorder(_u2144) | ~class_Orderings_Oorder(_u2145) | ~c_Orderings_Oorder__class_Omono(_u2145, _u2144, _u2146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2145), _u2147), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2144), hAPP(_u2146, _u2147)), hAPP(_u2146, _u2148))) )).
% 12.29/12.52 cnf(matrix-1703, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2151, tc_HOL_Obool)), _u2153)) | hBOOL(hAPP(hAPP(c_member(_u2151), _u2153), c_Orderings_Obot__class_Obot(tc_fun(_u2151, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1704, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2152), _u2154), c_Orderings_Obot__class_Obot(tc_fun(_u2152, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u2152, tc_HOL_Obool)), _u2154)) )).
% 12.29/12.52 cnf(matrix-1705, plain, ( ~class_Orderings_Obot(_u2155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2155), c_Orderings_Obot__class_Obot(_u2155)), _u2156)) )).
% 12.29/12.52 cnf(matrix-1706, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2157) | ( _u2158 = c_Orderings_Obot__class_Obot(tc_fun(_u2159, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2159, _u2157), _u2158), hAPP(c_COMBK(_u2157, _u2159), _u2160)) = _u2160) )).
% 12.29/12.52 cnf(matrix-1707, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2167, tc_fun(_u2169, tc_HOL_Obool)), _u2171), _u2173) != c_Orderings_Obot__class_Obot(tc_fun(_u2169, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2167), _u2161), _u2171)) | ( hAPP(_u2173, _u2161) = c_Orderings_Obot__class_Obot(tc_fun(_u2169, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1708, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2168, tc_fun(_u2170, tc_HOL_Obool)), _u2172), _u2174) = c_Orderings_Obot__class_Obot(tc_fun(_u2170, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2168), skolem59(_u2174, _u2172, _u2170, _u2168)), _u2172)) )).
% 12.29/12.52 cnf(matrix-1709, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2168, tc_fun(_u2170, tc_HOL_Obool)), _u2172), _u2174) = c_Orderings_Obot__class_Obot(tc_fun(_u2170, tc_HOL_Obool))) | ( hAPP(_u2174, skolem59(_u2174, _u2172, _u2170, _u2168)) != c_Orderings_Obot__class_Obot(tc_fun(_u2170, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1710, plain, ( ( _u2179 != c_Orderings_Obot__class_Obot(tc_fun(_u2181, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2181, tc_fun(_u2183, tc_HOL_Obool)), _u2179), hAPP(c_COMBK(tc_fun(_u2183, tc_HOL_Obool), _u2181), _u2185)) = c_Orderings_Obot__class_Obot(tc_fun(_u2183, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1711, plain, ( ( _u2180 = c_Orderings_Obot__class_Obot(tc_fun(_u2182, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2182, tc_fun(_u2184, tc_HOL_Obool)), _u2180), hAPP(c_COMBK(tc_fun(_u2184, tc_HOL_Obool), _u2182), _u2186)) = _u2186) )).
% 12.29/12.52 cnf(matrix-1712, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2187, tc_fun(_u2188, tc_HOL_Obool)), _u2189), hAPP(c_COMBK(tc_fun(_u2188, tc_HOL_Obool), _u2187), c_Orderings_Obot__class_Obot(tc_fun(_u2188, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2188, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1713, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2196, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2198, tc_fun(_u2196, tc_HOL_Obool)), _u2200), _u2202)) | ~hBOOL(hAPP(hAPP(c_member(_u2198), _u2190), _u2200)) | ( hAPP(_u2202, _u2190) = c_Orderings_Obot__class_Obot(tc_fun(_u2196, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1714, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2197, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2199, tc_fun(_u2197, tc_HOL_Obool)), _u2201), _u2203)) | hBOOL(hAPP(hAPP(c_member(_u2199), skolem60(_u2203, _u2201, _u2199, _u2197)), _u2201)) )).
% 12.29/12.52 cnf(matrix-1715, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2197, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2199, tc_fun(_u2197, tc_HOL_Obool)), _u2201), _u2203)) | ( hAPP(_u2203, skolem60(_u2203, _u2201, _u2199, _u2197)) != c_Orderings_Obot__class_Obot(tc_fun(_u2197, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1716, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2204) | ( _u2205 = c_Orderings_Obot__class_Obot(tc_fun(_u2206, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2206, _u2204), _u2205), hAPP(c_COMBK(_u2204, _u2206), _u2207)) = _u2207) )).
% 12.29/12.52 cnf(matrix-1717, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2208, tc_fun(_u2209, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2208, tc_HOL_Obool))), _u2210) = c_Orderings_Otop__class_Otop(tc_fun(_u2209, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1718, plain, ( ( _u2215 != c_Orderings_Obot__class_Obot(tc_fun(_u2217, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2217, tc_fun(_u2219, tc_HOL_Obool)), _u2215), hAPP(c_COMBK(tc_fun(_u2219, tc_HOL_Obool), _u2217), _u2221)) = c_Orderings_Otop__class_Otop(tc_fun(_u2219, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1719, plain, ( ( _u2216 = c_Orderings_Obot__class_Obot(tc_fun(_u2218, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2218, tc_fun(_u2220, tc_HOL_Obool)), _u2216), hAPP(c_COMBK(tc_fun(_u2220, tc_HOL_Obool), _u2218), _u2222)) = _u2222) )).
% 12.29/12.52 cnf(matrix-1720, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2223) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2223), c_Orderings_Obot__class_Obot(_u2223)), _u2224) = _u2224) )).
% 12.29/12.52 cnf(matrix-1721, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2225) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2225), _u2226), c_Orderings_Obot__class_Obot(_u2225)) = _u2226) )).
% 12.29/12.52 cnf(matrix-1722, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2227) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2227), _u2228), _u2229) != c_Orderings_Obot__class_Obot(_u2227)) | ( _u2228 = c_Orderings_Obot__class_Obot(_u2227)) )).
% 12.29/12.52 cnf(matrix-1723, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2227) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2227), _u2228), _u2229) != c_Orderings_Obot__class_Obot(_u2227)) | ( _u2229 = c_Orderings_Obot__class_Obot(_u2227)) )).
% 12.29/12.52 cnf(matrix-1724, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2227) | ( _u2228 != c_Orderings_Obot__class_Obot(_u2227)) | ( _u2229 != c_Orderings_Obot__class_Obot(_u2227)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2227), _u2228), _u2229) = c_Orderings_Obot__class_Obot(_u2227)) )).
% 12.29/12.52 cnf(matrix-1725, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2230) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2230), c_Orderings_Obot__class_Obot(_u2230)), _u2231) = c_Orderings_Obot__class_Obot(_u2230)) )).
% 12.29/12.52 cnf(matrix-1726, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2232) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2232), _u2233), c_Orderings_Obot__class_Obot(_u2232)) = c_Orderings_Obot__class_Obot(_u2232)) )).
% 12.29/12.52 cnf(matrix-1727, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2234) | ( c_Complete__Lattice_OInf__class_OInf(_u2234, c_Orderings_Otop__class_Otop(tc_fun(_u2234, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u2234)) )).
% 12.29/12.52 cnf(matrix-1728, plain, ( ~class_Orderings_Oorder(_u2235) | ~class_Orderings_Oorder(_u2236) | ~c_Orderings_Oorder__class_Ostrict__mono(_u2236, _u2235, _u2237) | c_Orderings_Oorder__class_Omono(_u2236, _u2235, _u2237) )).
% 12.29/12.52 cnf(matrix-1729, plain, ( ~class_Orderings_Oorder(_u2238) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2238, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u2238, _u2239, _u2240)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2238), _u2239), _u2240)) )).
% 12.29/12.52 cnf(matrix-1730, plain, ( ~class_Orderings_Oorder(_u2238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2238), _u2239), _u2240)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u2238, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2238, _u2239, _u2240)) )).
% 12.29/12.52 cnf(matrix-1731, plain, ( ~class_Orderings_Oorder(_u2241) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2241, _u2242, _u2243) != c_Orderings_Obot__class_Obot(tc_fun(_u2241, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2241), _u2242), _u2243)) )).
% 12.29/12.52 cnf(matrix-1732, plain, ( ~class_Orderings_Oorder(_u2241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2241), _u2242), _u2243)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2241, _u2242, _u2243) = c_Orderings_Obot__class_Obot(tc_fun(_u2241, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1733, plain, ( ~class_Orderings_Oorder(_u2244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2244), _u2245), _u2246)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2244, _u2246), _u2245) = c_Orderings_Obot__class_Obot(tc_fun(_u2244, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1734, plain, ( ~class_Orderings_Oorder(_u2247) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2247, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2247, _u2248), _u2249)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2247, _u2249), _u2250)) = c_Orderings_Obot__class_Obot(tc_fun(_u2247, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2253, tc_HOL_Obool)), _u2255), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2253, tc_HOL_Obool)), _u2255))) | ( _u2255 = c_Orderings_Obot__class_Obot(tc_fun(_u2253, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1736, plain, ( ( _u2256 != c_Orderings_Obot__class_Obot(tc_fun(_u2254, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2254, tc_HOL_Obool)), _u2256), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2254, tc_HOL_Obool)), _u2256))) )).
% 12.29/12.52 cnf(matrix-1737, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2257, tc_HOL_Obool)), _u2258), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2257, tc_HOL_Obool)), _u2258)) = c_Orderings_Obot__class_Obot(tc_fun(_u2257, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1738, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2259, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2259, tc_HOL_Obool)), _u2260)), _u2260) = c_Orderings_Obot__class_Obot(tc_fun(_u2259, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1739, plain, ( ~class_Orderings_Oorder(_u2261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2261), _u2262), _u2263)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u2261, _u2263, _u2262) = c_Orderings_Obot__class_Obot(tc_fun(_u2261, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1740, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2264) | ( c_Complete__Lattice_OInf__class_OInf(_u2264, c_Orderings_Obot__class_Obot(tc_fun(_u2264, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u2264)) )).
% 12.29/12.52 cnf(matrix-1741, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2270, tc_HOL_Obool), _u2272)), _u2274) != c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2270, tc_HOL_Obool)), _u2265), _u2272)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2270, tc_HOL_Obool)), _u2265), _u2274) = c_Orderings_Obot__class_Obot(tc_fun(_u2270, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1742, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2271, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2271, tc_HOL_Obool), _u2273)), _u2275) = c_Orderings_Obot__class_Obot(tc_fun(_u2271, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2271, tc_HOL_Obool)), skolem61(_u2275, _u2273, _u2271)), _u2273)) )).
% 12.29/12.52 cnf(matrix-1743, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2271, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2271, tc_HOL_Obool), _u2273)), _u2275) = c_Orderings_Obot__class_Obot(tc_fun(_u2271, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2271, tc_HOL_Obool)), skolem61(_u2275, _u2273, _u2271)), _u2275) != c_Orderings_Obot__class_Obot(tc_fun(_u2271, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1744, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2276, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2276, tc_HOL_Obool))), hAPP(c_Set_OPow(_u2276), _u2277))) )).
% 12.29/12.52 cnf(matrix-1745, plain, ( ~class_Orderings_Oorder(_u2278) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2278, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2278, _u2279, _u2280)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2278, _u2280, _u2281)) = c_Orderings_Obot__class_Obot(tc_fun(_u2278, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1746, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2282, tc_HOL_Obool), tc_fun(_u2283, tc_HOL_Obool), _u2284) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2283, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2283, tc_HOL_Obool)), hAPP(_u2284, _u2285)), hAPP(_u2284, _u2286))), hAPP(_u2284, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2282, tc_HOL_Obool)), _u2285), _u2286)))) )).
% 12.29/12.52 cnf(matrix-1747, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2287, tc_HOL_Obool), tc_fun(_u2288, tc_HOL_Obool), _u2289) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2288, tc_HOL_Obool)), hAPP(_u2289, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2287, tc_HOL_Obool)), _u2290), _u2291))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2288, tc_HOL_Obool)), hAPP(_u2289, _u2290)), hAPP(_u2289, _u2291)))) )).
% 12.29/12.52 cnf(matrix-1748, plain, ( ( _u2297 != c_Orderings_Obot__class_Obot(tc_fun(_u2299, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2299, tc_fun(_u2301, tc_HOL_Obool)), _u2297), hAPP(hAPP(c_COMBB(tc_fun(_u2301, tc_HOL_Obool), tc_fun(_u2301, tc_HOL_Obool), _u2299), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2301, tc_HOL_Obool)), _u2303)), _u2305)) = c_Orderings_Obot__class_Obot(tc_fun(_u2301, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1749, plain, ( ( _u2298 = c_Orderings_Obot__class_Obot(tc_fun(_u2300, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2300, tc_fun(_u2302, tc_HOL_Obool)), _u2298), hAPP(hAPP(c_COMBB(tc_fun(_u2302, tc_HOL_Obool), tc_fun(_u2302, tc_HOL_Obool), _u2300), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2302, tc_HOL_Obool)), _u2304)), _u2306)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2302, tc_HOL_Obool)), _u2304), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2300, tc_fun(_u2302, tc_HOL_Obool)), _u2298), _u2306))) )).
% 12.29/12.52 cnf(matrix-1750, plain, ( ( _u2312 != c_Orderings_Obot__class_Obot(tc_fun(_u2314, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2314, tc_fun(_u2316, tc_HOL_Obool)), _u2312), hAPP(hAPP(c_COMBC(_u2314, tc_fun(_u2316, tc_HOL_Obool), tc_fun(_u2316, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2316, tc_HOL_Obool), tc_fun(tc_fun(_u2316, tc_HOL_Obool), tc_fun(_u2316, tc_HOL_Obool)), _u2314), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2316, tc_HOL_Obool))), _u2318)), _u2320)) = c_Orderings_Obot__class_Obot(tc_fun(_u2316, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1751, plain, ( ( _u2313 = c_Orderings_Obot__class_Obot(tc_fun(_u2315, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2315, tc_fun(_u2317, tc_HOL_Obool)), _u2313), hAPP(hAPP(c_COMBC(_u2315, tc_fun(_u2317, tc_HOL_Obool), tc_fun(_u2317, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2317, tc_HOL_Obool), tc_fun(tc_fun(_u2317, tc_HOL_Obool), tc_fun(_u2317, tc_HOL_Obool)), _u2315), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2317, tc_HOL_Obool))), _u2319)), _u2321)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2317, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2315, tc_fun(_u2317, tc_HOL_Obool)), _u2313), _u2319)), _u2321)) )).
% 12.29/12.52 cnf(matrix-1752, plain, ( ( _u2327 != c_Orderings_Obot__class_Obot(tc_fun(_u2329, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2331, tc_HOL_Obool)), _u2333), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2329, tc_fun(_u2331, tc_HOL_Obool)), _u2327), _u2335)) = _u2333) )).
% 12.29/12.52 cnf(matrix-1753, plain, ( ( _u2328 = c_Orderings_Obot__class_Obot(tc_fun(_u2330, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2332, tc_HOL_Obool)), _u2334), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2330, tc_fun(_u2332, tc_HOL_Obool)), _u2328), _u2336)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2330, tc_fun(_u2332, tc_HOL_Obool)), _u2328), hAPP(hAPP(c_COMBB(tc_fun(_u2332, tc_HOL_Obool), tc_fun(_u2332, tc_HOL_Obool), _u2330), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2332, tc_HOL_Obool)), _u2334)), _u2336))) )).
% 12.29/12.52 cnf(matrix-1754, plain, ( ( _u2342 != c_Orderings_Obot__class_Obot(tc_fun(_u2344, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2346, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2344, tc_fun(_u2346, tc_HOL_Obool)), _u2342), _u2348)), _u2350) = _u2350) )).
% 12.29/12.52 cnf(matrix-1755, plain, ( ( _u2343 = c_Orderings_Obot__class_Obot(tc_fun(_u2345, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2347, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2345, tc_fun(_u2347, tc_HOL_Obool)), _u2343), _u2349)), _u2351) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2345, tc_fun(_u2347, tc_HOL_Obool)), _u2343), hAPP(hAPP(c_COMBC(_u2345, tc_fun(_u2347, tc_HOL_Obool), tc_fun(_u2347, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2347, tc_HOL_Obool), tc_fun(tc_fun(_u2347, tc_HOL_Obool), tc_fun(_u2347, tc_HOL_Obool)), _u2345), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2347, tc_HOL_Obool))), _u2349)), _u2351))) )).
% 12.29/12.52 cnf(matrix-1756, plain, ( ( _u2357 != c_Orderings_Obot__class_Obot(tc_fun(_u2359, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2361, tc_HOL_Obool)), _u2363), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2359, tc_fun(_u2361, tc_HOL_Obool)), _u2357), _u2365)) = _u2363) )).
% 12.29/12.52 cnf(matrix-1757, plain, ( ( _u2358 = c_Orderings_Obot__class_Obot(tc_fun(_u2360, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2362, tc_HOL_Obool)), _u2364), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2360, tc_fun(_u2362, tc_HOL_Obool)), _u2358), _u2366)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2360, tc_fun(_u2362, tc_HOL_Obool)), _u2358), hAPP(hAPP(c_COMBB(tc_fun(_u2362, tc_HOL_Obool), tc_fun(_u2362, tc_HOL_Obool), _u2360), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2362, tc_HOL_Obool)), _u2364)), _u2366))) )).
% 12.29/12.52 cnf(matrix-1758, plain, ( ( _u2372 != c_Orderings_Obot__class_Obot(tc_fun(_u2374, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2376, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2374, tc_fun(_u2376, tc_HOL_Obool)), _u2372), _u2378)), _u2380) = _u2380) )).
% 12.29/12.52 cnf(matrix-1759, plain, ( ( _u2373 = c_Orderings_Obot__class_Obot(tc_fun(_u2375, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2377, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2375, tc_fun(_u2377, tc_HOL_Obool)), _u2373), _u2379)), _u2381) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2375, tc_fun(_u2377, tc_HOL_Obool)), _u2373), hAPP(hAPP(c_COMBC(_u2375, tc_fun(_u2377, tc_HOL_Obool), tc_fun(_u2377, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2377, tc_HOL_Obool), tc_fun(tc_fun(_u2377, tc_HOL_Obool), tc_fun(_u2377, tc_HOL_Obool)), _u2375), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2377, tc_HOL_Obool))), _u2379)), _u2381))) )).
% 12.29/12.52 cnf(matrix-1760, plain, ( ( _u2387 != c_Orderings_Obot__class_Obot(tc_fun(_u2389, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2389, tc_fun(_u2391, tc_HOL_Obool)), _u2387), hAPP(hAPP(c_COMBC(_u2389, tc_fun(_u2391, tc_HOL_Obool), tc_fun(_u2391, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2391, tc_HOL_Obool), tc_fun(tc_fun(_u2391, tc_HOL_Obool), tc_fun(_u2391, tc_HOL_Obool)), _u2389), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2391, tc_HOL_Obool))), _u2393)), _u2395)) = c_Orderings_Otop__class_Otop(tc_fun(_u2391, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1761, plain, ( ( _u2388 = c_Orderings_Obot__class_Obot(tc_fun(_u2390, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2390, tc_fun(_u2392, tc_HOL_Obool)), _u2388), hAPP(hAPP(c_COMBC(_u2390, tc_fun(_u2392, tc_HOL_Obool), tc_fun(_u2392, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2392, tc_HOL_Obool), tc_fun(tc_fun(_u2392, tc_HOL_Obool), tc_fun(_u2392, tc_HOL_Obool)), _u2390), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool))), _u2394)), _u2396)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2392, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2390, tc_fun(_u2392, tc_HOL_Obool)), _u2388), _u2394)), _u2396)) )).
% 12.29/12.52 cnf(matrix-1762, plain, ( ( _u2402 != c_Orderings_Obot__class_Obot(tc_fun(_u2404, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2404, tc_fun(_u2406, tc_HOL_Obool)), _u2402), hAPP(hAPP(c_COMBB(tc_fun(_u2406, tc_HOL_Obool), tc_fun(_u2406, tc_HOL_Obool), _u2404), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2406, tc_HOL_Obool)), _u2408)), _u2410)) = c_Orderings_Otop__class_Otop(tc_fun(_u2406, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1763, plain, ( ( _u2403 = c_Orderings_Obot__class_Obot(tc_fun(_u2405, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2405, tc_fun(_u2407, tc_HOL_Obool)), _u2403), hAPP(hAPP(c_COMBB(tc_fun(_u2407, tc_HOL_Obool), tc_fun(_u2407, tc_HOL_Obool), _u2405), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2407, tc_HOL_Obool)), _u2409)), _u2411)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2407, tc_HOL_Obool)), _u2409), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2405, tc_fun(_u2407, tc_HOL_Obool)), _u2403), _u2411))) )).
% 12.29/12.52 cnf(matrix-1764, plain, ( ~class_Lattices_Osemilattice__sup(_u2412) | ~class_Lattices_Osemilattice__sup(_u2413) | ~c_Orderings_Oorder__class_Omono(_u2413, _u2412, _u2414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2412), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2412), hAPP(_u2414, _u2415)), hAPP(_u2414, _u2416))), hAPP(_u2414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2413), _u2415), _u2416)))) )).
% 12.29/12.52 cnf(matrix-1765, plain, ( ~class_Lattices_Osemilattice__inf(_u2417) | ~class_Lattices_Osemilattice__inf(_u2418) | ~c_Orderings_Oorder__class_Omono(_u2418, _u2417, _u2419) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2417), hAPP(_u2419, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2418), _u2420), _u2421))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2417), hAPP(_u2419, _u2420)), hAPP(_u2419, _u2421)))) )).
% 12.29/12.52 cnf(matrix-1766, plain, ( ~class_Lattices_Oboolean__algebra(_u2422) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2422), _u2423), hAPP(c_Groups_Ouminus__class_Ouminus(_u2422), _u2423)) = c_Orderings_Obot__class_Obot(_u2422)) )).
% 12.29/12.52 cnf(matrix-1767, plain, ( ~class_Lattices_Oboolean__algebra(_u2424) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2424), hAPP(c_Groups_Ouminus__class_Ouminus(_u2424), _u2425)), _u2425) = c_Orderings_Obot__class_Obot(_u2424)) )).
% 12.29/12.52 cnf(matrix-1768, plain, ( ~class_Lattices_Oboolean__algebra(_u2426) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2426), c_Orderings_Otop__class_Otop(_u2426)) = c_Orderings_Obot__class_Obot(_u2426)) )).
% 12.29/12.52 cnf(matrix-1769, plain, ( ~class_Lattices_Oboolean__algebra(_u2427) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2427), c_Orderings_Obot__class_Obot(_u2427)) = c_Orderings_Otop__class_Otop(_u2427)) )).
% 12.29/12.52 cnf(matrix-1770, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2431, tc_HOL_Obool)), _u2433), _u2435) != c_Orderings_Obot__class_Obot(tc_fun(_u2431, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2431, tc_HOL_Obool)), _u2433), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2431, tc_HOL_Obool)), _u2435))) )).
% 12.29/12.52 cnf(matrix-1771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2432, tc_HOL_Obool)), _u2434), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2432, tc_HOL_Obool)), _u2436))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2432, tc_HOL_Obool)), _u2434), _u2436) = c_Orderings_Obot__class_Obot(tc_fun(_u2432, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1772, plain, ( ~class_Orderings_Oorder(_u2437) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2437, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2437, _u2438), _u2439)), c_SetInterval_Oord__class_OatLeastAtMost(_u2437, _u2439, _u2440)) = c_Orderings_Obot__class_Obot(tc_fun(_u2437, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1773, plain, ( ~class_Orderings_Oorder(_u2441) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2441, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2441), _u2442)), c_SetInterval_Oord__class_OatLeastAtMost(_u2441, _u2442, _u2443)) = c_Orderings_Obot__class_Obot(tc_fun(_u2441, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1774, plain, ( ~class_Orderings_Oorder(_u2444) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2444, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u2444), _u2445)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2444, _u2445), _u2446)) = c_Orderings_Obot__class_Obot(tc_fun(_u2444, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1775, plain, ( ~class_Orderings_Oorder(_u2447) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2447, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u2447, _u2448, _u2449)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2447, _u2449, _u2450)) = c_Orderings_Obot__class_Obot(tc_fun(_u2447, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1776, plain, ( hBOOL(hAPP(hAPP(c_member(_u2451), _u2452), c_Orderings_Otop__class_Otop(tc_fun(_u2451, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1777, plain, ( ~class_Orderings_Olinorder(_u2453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2453), _u2454), _u2455)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2453, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2453), _u2454), c_Orderings_Obot__class_Obot(tc_fun(_u2453, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2453, _u2454, _u2455)) = c_SetInterval_Oord__class_OatLeastAtMost(_u2453, _u2454, _u2455)) )).
% 12.29/12.52 cnf(matrix-1778, plain, ( ~class_Orderings_Olinorder(_u2456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2456), _u2457), _u2458)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2456, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2456, _u2457), _u2458)), hAPP(hAPP(c_Set_Oinsert(_u2456), _u2458), c_Orderings_Obot__class_Obot(tc_fun(_u2456, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u2456, _u2457, _u2458)) )).
% 12.29/12.52 cnf(matrix-1779, plain, ( ~class_Orderings_Oorder(_u2459) | ~c_Orderings_Oorder__class_Omono(_u2459, tc_fun(_u2460, tc_HOL_Obool), _u2461) | c_Orderings_Oorder__class_Omono(_u2459, tc_fun(_u2460, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u2459, tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2460, tc_HOL_Obool), tc_fun(tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), _u2459), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2460, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u2459, tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2460, tc_HOL_Obool), tc_fun(tc_fun(_u2460, tc_HOL_Obool), tc_fun(_u2460, tc_HOL_Obool)), _u2459), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2460, tc_HOL_Obool))), _u2461)), _u2462))), _u2463)) )).
% 12.29/12.52 cnf(matrix-1780, plain, ( ~class_Orderings_Oorder(_u2464) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2464, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2464, _u2465, _u2466)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2464), _u2466)) = c_Orderings_Obot__class_Obot(tc_fun(_u2464, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1781, plain, ( ~class_Orderings_Oorder(_u2467) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2467, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2467), _u2468)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2467, _u2468, _u2469)) = c_Orderings_Obot__class_Obot(tc_fun(_u2467, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1782, plain, ( ~class_Orderings_Oorder(_u2470) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2470, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u2470, _u2471, _u2472)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u2470, _u2472, _u2473)) = c_Orderings_Obot__class_Obot(tc_fun(_u2470, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1783, plain, ( ~class_Orderings_Olinorder(_u2474) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2474, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2474), _u2475), c_Orderings_Obot__class_Obot(tc_fun(_u2474, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u2474), _u2475)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u2474), _u2475)) )).
% 12.29/12.52 cnf(matrix-1784, plain, ( ( _u2481 != c_Orderings_Obot__class_Obot(tc_fun(_u2483, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2483, tc_fun(_u2485, tc_HOL_Obool)), _u2481), hAPP(hAPP(c_COMBB(tc_fun(_u2485, tc_HOL_Obool), tc_fun(_u2485, tc_HOL_Obool), _u2483), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2485, tc_HOL_Obool)), _u2487)), _u2489)) = c_Orderings_Otop__class_Otop(tc_fun(_u2485, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1785, plain, ( ( _u2482 = c_Orderings_Obot__class_Obot(tc_fun(_u2484, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2484, tc_fun(_u2486, tc_HOL_Obool)), _u2482), hAPP(hAPP(c_COMBB(tc_fun(_u2486, tc_HOL_Obool), tc_fun(_u2486, tc_HOL_Obool), _u2484), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2486, tc_HOL_Obool)), _u2488)), _u2490)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2486, tc_HOL_Obool)), _u2488), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2484, tc_fun(_u2486, tc_HOL_Obool)), _u2482), _u2490))) )).
% 12.29/12.52 cnf(matrix-1786, plain, ( ~class_Orderings_Oorder(_u2491) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2491, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u2491), _u2492)), hAPP(c_SetInterval_Oord__class_OatLeast(_u2491), _u2492)) = hAPP(hAPP(c_Set_Oinsert(_u2491), _u2492), c_Orderings_Obot__class_Obot(tc_fun(_u2491, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1787, plain, ( hBOOL(hAPP(hAPP(c_member(_u2493), _u2494), hAPP(hAPP(c_Set_Oinsert(_u2493), _u2496), _u2495))) | ~hBOOL(hAPP(hAPP(c_member(_u2493), _u2494), _u2495)) )).
% 12.29/12.52 cnf(matrix-1788, plain, ( hBOOL(hAPP(hAPP(c_member(_u2493), _u2494), hAPP(hAPP(c_Set_Oinsert(_u2493), _u2496), _u2495))) | ( _u2494 != _u2496) )).
% 12.29/12.52 cnf(matrix-1789, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2497), _u2498), hAPP(hAPP(c_Set_Oinsert(_u2497), _u2499), _u2500))) | ( _u2498 = _u2499) | hBOOL(hAPP(hAPP(c_member(_u2497), _u2498), _u2500)) )).
% 12.29/12.52 cnf(matrix-1790, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2501, tc_HOL_Obool)), _u2503), _u2504))) | hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), _u2503)) )).
% 12.29/12.52 cnf(matrix-1791, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2501, tc_HOL_Obool)), _u2503), _u2504))) | ~hBOOL(hAPP(hAPP(c_member(_u2501), _u2502), _u2504)) )).
% 12.29/12.52 cnf(matrix-1792, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2505), _u2506), _u2507)) | hBOOL(hAPP(hAPP(c_member(_u2505), _u2506), _u2508)) | hBOOL(hAPP(hAPP(c_member(_u2505), _u2506), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2505, tc_HOL_Obool)), _u2507), _u2508))) )).
% 12.29/12.52 cnf(matrix-1793, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2509, tc_HOL_Obool)), _u2510), hAPP(hAPP(c_Set_Oinsert(_u2509), _u2511), _u2512)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2509, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2509, tc_HOL_Obool)), _u2510), _u2512)), hAPP(hAPP(c_Set_Oinsert(_u2509), _u2511), c_Orderings_Obot__class_Obot(tc_fun(_u2509, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1794, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool)), _u2514), hAPP(hAPP(c_Set_Oinsert(_u2513), _u2515), _u2516)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2513, tc_HOL_Obool)), _u2514), hAPP(hAPP(c_Set_Oinsert(_u2513), _u2515), c_Orderings_Obot__class_Obot(tc_fun(_u2513, tc_HOL_Obool))))), _u2516)) )).
% 12.29/12.52 cnf(matrix-1795, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2517), _u2518), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2517, tc_HOL_Obool)), _u2519), hAPP(hAPP(c_Set_Oinsert(_u2517), _u2518), c_Orderings_Obot__class_Obot(tc_fun(_u2517, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u2517), _u2518), _u2519)) )).
% 12.29/12.52 cnf(matrix-1796, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2524), _u2526), _u2528)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2524, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2524), _u2526), _u2530)), _u2528) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2524, tc_HOL_Obool)), _u2530), _u2528)) )).
% 12.29/12.52 cnf(matrix-1797, plain, ( hBOOL(hAPP(hAPP(c_member(_u2525), _u2527), _u2529)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2525, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2525), _u2527), _u2531)), _u2529) = hAPP(hAPP(c_Set_Oinsert(_u2525), _u2527), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2525, tc_HOL_Obool)), _u2531), _u2529))) )).
% 12.29/12.52 cnf(matrix-1798, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2532), _u2533), _u2534)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2532, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2532), _u2533), _u2535)), _u2534) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2532, tc_HOL_Obool)), _u2535), _u2534)) )).
% 12.29/12.52 cnf(matrix-1799, plain, ( ~class_Groups_Oab__group__add(_u2536) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2537), _u2538) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2539), _u2540)) | ( _u2537 != _u2538) | ( _u2539 = _u2540) )).
% 12.29/12.52 cnf(matrix-1800, plain, ( ~class_Groups_Oab__group__add(_u2536) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2537), _u2538) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2536), _u2539), _u2540)) | ( _u2539 != _u2540) | ( _u2537 = _u2538) )).
% 12.29/12.52 cnf(matrix-1801, plain, ( ~class_Groups_Ominus(_u2541) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2542, _u2541)), _u2543), _u2544), _u2545) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2541), hAPP(_u2543, _u2545)), hAPP(_u2544, _u2545))) )).
% 12.29/12.52 cnf(matrix-1802, plain, ( ~class_Groups_Ominus(_u2546) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2547, _u2546)), _u2548), _u2549), _u2550) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2546), hAPP(_u2548, _u2550)), hAPP(_u2549, _u2550))) )).
% 12.29/12.52 cnf(matrix-1803, plain, ( ( _u2557 = _u2561) | hBOOL(hAPP(_u2559, _u2561)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u2555), _u2557), _u2559), _u2561)) )).
% 12.29/12.52 cnf(matrix-1804, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u2556), _u2558), _u2560), _u2562)) | ( _u2558 != _u2562) )).
% 12.29/12.52 cnf(matrix-1805, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u2556), _u2558), _u2560), _u2562)) | ~hBOOL(hAPP(_u2560, _u2562)) )).
% 12.29/12.52 cnf(matrix-1806, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2563, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2563, tc_HOL_Obool)), _u2564), _u2565)), _u2565) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2563, tc_HOL_Obool)), _u2564), _u2565)) )).
% 12.29/12.52 cnf(matrix-1807, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2566), _u2567), hAPP(hAPP(c_Set_Oinsert(_u2566), _u2568), _u2569)) = hAPP(hAPP(c_Set_Oinsert(_u2566), _u2568), hAPP(hAPP(c_Set_Oinsert(_u2566), _u2567), _u2569))) )).
% 12.29/12.52 cnf(matrix-1808, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2570), _u2571), hAPP(hAPP(c_Set_Oinsert(_u2570), _u2571), _u2572)) = hAPP(hAPP(c_Set_Oinsert(_u2570), _u2571), _u2572)) )).
% 12.29/12.52 cnf(matrix-1809, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2573), _u2574), _u2575)) | ( hAPP(hAPP(c_Set_Oinsert(_u2573), _u2574), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2573, tc_HOL_Obool)), _u2575), hAPP(hAPP(c_Set_Oinsert(_u2573), _u2574), c_Orderings_Obot__class_Obot(tc_fun(_u2573, tc_HOL_Obool))))) = _u2575) )).
% 12.29/12.52 cnf(matrix-1810, plain, ( hBOOL(hAPP(hAPP(c_member(_u2576), _u2577), _u2578)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2576, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2576), _u2577), _u2578)), hAPP(hAPP(c_Set_Oinsert(_u2576), _u2577), c_Orderings_Obot__class_Obot(tc_fun(_u2576, tc_HOL_Obool)))) = _u2578) )).
% 12.29/12.52 cnf(matrix-1811, plain, ( ~class_Groups_Oordered__ab__group__add(_u2579) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2580), _u2581) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2582), _u2583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2580), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2582), _u2583)) )).
% 12.29/12.52 cnf(matrix-1812, plain, ( ~class_Groups_Oordered__ab__group__add(_u2579) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2580), _u2581) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2579), _u2582), _u2583)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2582), _u2583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2579), _u2580), _u2581)) )).
% 12.29/12.52 cnf(matrix-1813, plain, ( ~class_Orderings_Oorder(_u2584) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2584, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2584), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2584, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u2584), _u2585)) = hAPP(hAPP(c_Set_Oinsert(_u2584), _u2585), c_Orderings_Obot__class_Obot(tc_fun(_u2584, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1814, plain, ( ~class_Groups_Oab__group__add(_u2586) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u2586), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2586), _u2587), _u2588)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2586), _u2588), _u2587)) )).
% 12.29/12.52 cnf(matrix-1815, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2589), _u2590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2589, tc_HOL_Obool)), _u2591), _u2592))) | ~hBOOL(hAPP(hAPP(c_member(_u2589), _u2590), _u2592)) )).
% 12.29/12.52 cnf(matrix-1816, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2593), _u2594), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2593, tc_HOL_Obool)), _u2595), _u2596))) | hBOOL(hAPP(hAPP(c_member(_u2593), _u2594), _u2595)) )).
% 12.29/12.52 cnf(matrix-1817, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2601, tc_HOL_Obool)), _u2605), _u2607))) | hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), _u2605)) )).
% 12.29/12.52 cnf(matrix-1818, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2601, tc_HOL_Obool)), _u2605), _u2607))) | ~hBOOL(hAPP(hAPP(c_member(_u2601), _u2603), _u2607)) )).
% 12.29/12.52 cnf(matrix-1819, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2602), _u2604), _u2606)) | hBOOL(hAPP(hAPP(c_member(_u2602), _u2604), _u2608)) | hBOOL(hAPP(hAPP(c_member(_u2602), _u2604), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2602, tc_HOL_Obool)), _u2606), _u2608))) )).
% 12.29/12.52 cnf(matrix-1820, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2609), _u2610), _u2611)) | ( hAPP(hAPP(c_Set_Oinsert(_u2609), _u2610), _u2611) = _u2611) )).
% 12.29/12.52 cnf(matrix-1821, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2612), _u2613), _u2614)) | hBOOL(hAPP(hAPP(c_member(_u2612), _u2613), hAPP(hAPP(c_Set_Oinsert(_u2612), _u2615), _u2614))) )).
% 12.29/12.52 cnf(matrix-1822, plain, ( hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2618)) | hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2619)) | ( hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2618) != hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2619)) | ( _u2618 = _u2619) )).
% 12.29/12.52 cnf(matrix-1823, plain, ( hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2618)) | hBOOL(hAPP(hAPP(c_member(_u2616), _u2617), _u2619)) | ( _u2618 != _u2619) | ( hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2618) = hAPP(hAPP(c_Set_Oinsert(_u2616), _u2617), _u2619)) )).
% 12.29/12.52 cnf(matrix-1824, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2624), _u2626), hAPP(hAPP(c_Set_Oinsert(_u2624), _u2628), _u2630))) | ( _u2626 = _u2628) | hBOOL(hAPP(hAPP(c_member(_u2624), _u2626), _u2630)) )).
% 12.29/12.52 cnf(matrix-1825, plain, ( hBOOL(hAPP(hAPP(c_member(_u2625), _u2627), hAPP(hAPP(c_Set_Oinsert(_u2625), _u2629), _u2631))) | ( _u2627 != _u2629) )).
% 12.29/12.52 cnf(matrix-1826, plain, ( hBOOL(hAPP(hAPP(c_member(_u2625), _u2627), hAPP(hAPP(c_Set_Oinsert(_u2625), _u2629), _u2631))) | ~hBOOL(hAPP(hAPP(c_member(_u2625), _u2627), _u2631)) )).
% 12.29/12.52 cnf(matrix-1827, plain, ( hBOOL(hAPP(hAPP(c_member(_u2632), _u2633), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), _u2634))) )).
% 12.29/12.52 cnf(matrix-1828, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2635, tc_HOL_Obool)), _u2636), _u2636) = c_Orderings_Obot__class_Obot(tc_fun(_u2635, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1829, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2637, tc_HOL_Obool)), _u2638), c_Orderings_Obot__class_Obot(tc_fun(_u2637, tc_HOL_Obool))) = _u2638) )).
% 12.29/12.52 cnf(matrix-1830, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2639, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2639, tc_HOL_Obool))), _u2640) = c_Orderings_Obot__class_Obot(tc_fun(_u2639, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1831, plain, ( ( _u2642 = _u2643) | ( hAPP(hAPP(c_Set_Oinsert(_u2641), _u2642), c_Orderings_Obot__class_Obot(tc_fun(_u2641, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u2641), _u2643), c_Orderings_Obot__class_Obot(tc_fun(_u2641, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1832, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2651 = _u2655) | ( _u2651 = _u2657) )).
% 12.29/12.52 cnf(matrix-1833, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2651 = _u2655) | ( _u2653 = _u2655) )).
% 12.29/12.52 cnf(matrix-1834, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2653 = _u2657) | ( _u2651 = _u2657) )).
% 12.29/12.52 cnf(matrix-1835, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2649), _u2651), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2653), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u2649), _u2655), hAPP(hAPP(c_Set_Oinsert(_u2649), _u2657), c_Orderings_Obot__class_Obot(tc_fun(_u2649, tc_HOL_Obool))))) | ( _u2653 = _u2657) | ( _u2653 = _u2655) )).
% 12.29/12.52 cnf(matrix-1836, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2650), _u2652), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2654), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u2650), _u2656), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2658), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool))))) | ( _u2652 != _u2656) | ( _u2654 != _u2658) )).
% 12.29/12.52 cnf(matrix-1837, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2650), _u2652), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2654), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u2650), _u2656), hAPP(hAPP(c_Set_Oinsert(_u2650), _u2658), c_Orderings_Obot__class_Obot(tc_fun(_u2650, tc_HOL_Obool))))) | ( _u2652 != _u2658) | ( _u2654 != _u2656) )).
% 12.29/12.52 cnf(matrix-1838, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2659), _u2660), _u2661) != c_Orderings_Obot__class_Obot(tc_fun(_u2659, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1839, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u2662, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u2662), _u2663), _u2664)) )).
% 12.29/12.52 cnf(matrix-1840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2665, tc_HOL_Obool)), _u2666), _u2667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2665, tc_HOL_Obool)), _u2667), _u2668)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2665, tc_HOL_Obool)), _u2668), _u2666)) = _u2666) )).
% 12.29/12.52 cnf(matrix-1841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2669, tc_HOL_Obool)), _u2672), _u2673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2669, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2673)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2669, tc_HOL_Obool)), _u2671), _u2672))) )).
% 12.29/12.52 cnf(matrix-1842, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2674, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2674, tc_HOL_Obool)), _u2675), _u2676)), _u2675)) )).
% 12.29/12.52 cnf(matrix-1843, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2679)), _u2680) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2677, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2680)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), _u2679), _u2680))) )).
% 12.29/12.52 cnf(matrix-1844, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2681, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), _u2682), _u2683)), _u2683) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2681, tc_HOL_Obool)), _u2682), _u2683)) )).
% 12.29/12.52 cnf(matrix-1845, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2684, tc_HOL_Obool)), _u2685), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2684, tc_HOL_Obool)), _u2686), _u2685)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2684, tc_HOL_Obool)), _u2685), _u2686)) )).
% 12.29/12.52 cnf(matrix-1846, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2687, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2687, tc_HOL_Obool)), _u2688), _u2689)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2687, tc_HOL_Obool)), _u2690), _u2689)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2687, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2687, tc_HOL_Obool)), _u2688), _u2689)), _u2690)) )).
% 12.29/12.52 cnf(matrix-1847, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2691, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2691, tc_HOL_Obool)), _u2692), _u2693)), _u2694) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2691, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2691, tc_HOL_Obool)), _u2692), _u2694)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2691, tc_HOL_Obool)), _u2693), _u2694))) )).
% 12.29/12.52 cnf(matrix-1848, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2695, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2695, tc_HOL_Obool)), _u2696), _u2697)), _u2698) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2695, tc_HOL_Obool)), _u2696), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2695, tc_HOL_Obool)), _u2697), _u2698))) )).
% 12.29/12.52 cnf(matrix-1849, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2699, tc_HOL_Obool)), _u2700), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2699, tc_HOL_Obool)), _u2701), _u2702)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2699, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2699, tc_HOL_Obool)), _u2700), _u2701)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2699, tc_HOL_Obool)), _u2700), _u2702))) )).
% 12.29/12.52 cnf(matrix-1850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2703, tc_HOL_Obool)), _u2704), _u2705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2703, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2703), _u2706), _u2704)), hAPP(hAPP(c_Set_Oinsert(_u2703), _u2706), _u2705))) )).
% 12.29/12.52 cnf(matrix-1851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2707, tc_HOL_Obool)), _u2708), _u2709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2707, tc_HOL_Obool)), _u2708), hAPP(hAPP(c_Set_Oinsert(_u2707), _u2710), _u2709))) )).
% 12.29/12.52 cnf(matrix-1852, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2711, tc_HOL_Obool)), _u2712), hAPP(hAPP(c_Set_Oinsert(_u2711), _u2713), _u2712))) )).
% 12.29/12.52 cnf(matrix-1853, plain, ( ( hAPP(c_Set_Oimage(_u2714, _u2715, _u2716), hAPP(hAPP(c_Set_Oinsert(_u2714), _u2717), _u2718)) = hAPP(hAPP(c_Set_Oinsert(_u2715), hAPP(_u2716, _u2717)), hAPP(c_Set_Oimage(_u2714, _u2715, _u2716), _u2718))) )).
% 12.29/12.52 cnf(matrix-1854, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2719, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2719), _u2720), _u2721)), _u2722) = hAPP(hAPP(c_Set_Oinsert(_u2719), _u2720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2719, tc_HOL_Obool)), _u2721), _u2722))) )).
% 12.29/12.52 cnf(matrix-1855, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2723, tc_HOL_Obool)), _u2724), hAPP(hAPP(c_Set_Oinsert(_u2723), _u2725), _u2726)) = hAPP(hAPP(c_Set_Oinsert(_u2723), _u2725), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2723, tc_HOL_Obool)), _u2724), _u2726))) )).
% 12.29/12.52 cnf(matrix-1856, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2727), _u2728), _u2729)), hAPP(hAPP(c_Set_Oinsert(_u2727), _u2728), _u2730)) = hAPP(hAPP(c_Set_Oinsert(_u2727), _u2728), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), _u2729), _u2730))) )).
% 12.29/12.52 cnf(matrix-1857, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u2731, _u2732, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u2731)), _u2733), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u2731), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u2731, _u2732, _u2734) | c_Hoare__Mirabelle_Ohoare__derivs(_u2731, _u2732, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u2731)), _u2733), _u2734)) )).
% 12.29/12.52 cnf(matrix-1858, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), _u2741), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2743), _u2745))) | ~hBOOL(hAPP(hAPP(c_member(_u2739), _u2743), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2739, tc_HOL_Obool)), _u2741), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2743), c_Orderings_Obot__class_Obot(tc_fun(_u2739, tc_HOL_Obool))))), _u2745)) )).
% 12.29/12.52 cnf(matrix-1859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), _u2741), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2743), _u2745))) | hBOOL(hAPP(hAPP(c_member(_u2739), _u2743), _u2741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2739, tc_HOL_Obool)), _u2741), _u2745)) )).
% 12.29/12.52 cnf(matrix-1860, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), _u2746))) | hBOOL(hAPP(hAPP(c_member(_u2740), _u2744), _u2742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), _u2746)) )).
% 12.29/12.52 cnf(matrix-1861, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), _u2746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), c_Orderings_Obot__class_Obot(tc_fun(_u2740, tc_HOL_Obool))))), _u2746)) | ~hBOOL(hAPP(hAPP(c_member(_u2740), _u2744), _u2742)) )).
% 12.29/12.52 cnf(matrix-1862, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), _u2746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2740, tc_HOL_Obool)), _u2742), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2744), c_Orderings_Obot__class_Obot(tc_fun(_u2740, tc_HOL_Obool))))), _u2746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2740, tc_HOL_Obool)), _u2742), _u2746)) )).
% 12.29/12.52 cnf(matrix-1863, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2747, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2747, tc_HOL_Obool)), _u2748), hAPP(hAPP(c_Set_Oinsert(_u2747), _u2749), c_Orderings_Obot__class_Obot(tc_fun(_u2747, tc_HOL_Obool))))), _u2750)) | ~hBOOL(hAPP(hAPP(c_member(_u2747), _u2749), _u2748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2747, tc_HOL_Obool)), _u2748), hAPP(hAPP(c_Set_Oinsert(_u2747), _u2749), _u2750))) )).
% 12.29/12.52 cnf(matrix-1864, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2751, tc_fun(_u2752, tc_HOL_Obool)), _u2753), hAPP(hAPP(c_COMBC(_u2751, tc_fun(_u2752, tc_HOL_Obool), tc_fun(_u2752, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2752, tc_HOL_Obool), tc_fun(tc_fun(_u2752, tc_HOL_Obool), tc_fun(_u2752, tc_HOL_Obool)), _u2751), c_Groups_Ominus__class_Ominus(tc_fun(_u2752, tc_HOL_Obool))), _u2754)), _u2755)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2752, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2751, tc_fun(_u2752, tc_HOL_Obool)), _u2753), _u2754)), _u2755)) )).
% 12.29/12.52 cnf(matrix-1865, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2756, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2757, tc_fun(_u2756, tc_HOL_Obool)), _u2758), _u2759)), _u2760) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2757, tc_fun(_u2756, tc_HOL_Obool)), _u2758), hAPP(hAPP(c_COMBC(_u2757, tc_fun(_u2756, tc_HOL_Obool), tc_fun(_u2756, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u2756, tc_HOL_Obool), tc_fun(tc_fun(_u2756, tc_HOL_Obool), tc_fun(_u2756, tc_HOL_Obool)), _u2757), c_Groups_Ominus__class_Ominus(tc_fun(_u2756, tc_HOL_Obool))), _u2759)), _u2760))) )).
% 12.29/12.52 cnf(matrix-1866, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2761, tc_fun(_u2762, tc_HOL_Obool)), _u2763), hAPP(hAPP(c_COMBB(tc_fun(_u2762, tc_HOL_Obool), tc_fun(_u2762, tc_HOL_Obool), _u2761), hAPP(c_Set_Oinsert(_u2762), _u2764)), _u2765)) = hAPP(hAPP(c_Set_Oinsert(_u2762), _u2764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2761, tc_fun(_u2762, tc_HOL_Obool)), _u2763), _u2765))) )).
% 12.29/12.52 cnf(matrix-1867, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2766), _u2767), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2768, tc_fun(_u2766, tc_HOL_Obool)), _u2769), _u2770)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2768, tc_fun(_u2766, tc_HOL_Obool)), _u2769), hAPP(hAPP(c_COMBB(tc_fun(_u2766, tc_HOL_Obool), tc_fun(_u2766, tc_HOL_Obool), _u2768), hAPP(c_Set_Oinsert(_u2766), _u2767)), _u2770))) )).
% 12.29/12.52 cnf(matrix-1868, plain, ( ~class_Lattices_Oboolean__algebra(_u2771) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2771), _u2772), _u2773) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2771), _u2772), hAPP(c_Groups_Ouminus__class_Ouminus(_u2771), _u2773))) )).
% 12.29/12.52 cnf(matrix-1869, plain, ( ( _u2775 = _u2776) | ~hBOOL(hAPP(hAPP(c_member(_u2774), _u2775), hAPP(hAPP(c_Set_Oinsert(_u2774), _u2776), c_Orderings_Obot__class_Obot(tc_fun(_u2774, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1870, plain, ( ( _u2782 = _u2784) | ~hBOOL(hAPP(hAPP(c_member(_u2780), _u2782), hAPP(hAPP(c_Set_Oinsert(_u2780), _u2784), c_Orderings_Obot__class_Obot(tc_fun(_u2780, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1871, plain, ( ( _u2783 != _u2785) | hBOOL(hAPP(hAPP(c_member(_u2781), _u2783), hAPP(hAPP(c_Set_Oinsert(_u2781), _u2785), c_Orderings_Obot__class_Obot(tc_fun(_u2781, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2790), _u2792), _u2794)), _u2796)) | hBOOL(hAPP(hAPP(c_member(_u2790), _u2792), _u2796)) )).
% 12.29/12.52 cnf(matrix-1873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2790), _u2792), _u2794)), _u2796)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2790, tc_HOL_Obool)), _u2794), _u2796)) )).
% 12.29/12.52 cnf(matrix-1874, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2791), _u2793), _u2797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2791, tc_HOL_Obool)), _u2795), _u2797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2791, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2791), _u2793), _u2795)), _u2797)) )).
% 12.29/12.52 cnf(matrix-1875, plain, ( hBOOL(hAPP(hAPP(c_member(_u2798), _u2799), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), hAPP(hAPP(c_Set_Oinsert(_u2798), _u2799), _u2801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), _u2801)) )).
% 12.29/12.52 cnf(matrix-1876, plain, ( hBOOL(hAPP(hAPP(c_member(_u2798), _u2799), _u2800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), _u2801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2798, tc_HOL_Obool)), _u2800), hAPP(hAPP(c_Set_Oinsert(_u2798), _u2799), _u2801))) )).
% 12.29/12.52 cnf(matrix-1877, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2802), _u2803), _u2804)) | ( hAPP(hAPP(c_Set_Oinsert(_u2805), hAPP(_u2806, _u2803)), hAPP(c_Set_Oimage(_u2802, _u2805, _u2806), _u2804)) = hAPP(c_Set_Oimage(_u2802, _u2805, _u2806), _u2804)) )).
% 12.29/12.52 cnf(matrix-1878, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2807, tc_HOL_Obool)), _u2808), c_Orderings_Otop__class_Otop(tc_fun(_u2807, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2807, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1879, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2809), _u2810), _u2811)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2809, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2809), _u2810), _u2812)), _u2811) = hAPP(hAPP(c_Set_Oinsert(_u2809), _u2810), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2809, tc_HOL_Obool)), _u2812), _u2811))) )).
% 12.29/12.52 cnf(matrix-1880, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2813), _u2814), _u2815)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2813, tc_HOL_Obool)), _u2815), hAPP(hAPP(c_Set_Oinsert(_u2813), _u2814), _u2816)) = hAPP(hAPP(c_Set_Oinsert(_u2813), _u2814), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2813, tc_HOL_Obool)), _u2815), _u2816))) )).
% 12.29/12.52 cnf(matrix-1881, plain, ( hBOOL(hAPP(hAPP(c_member(_u2817), _u2818), _u2819)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2817, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2817), _u2818), _u2820)), _u2819) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2817, tc_HOL_Obool)), _u2820), _u2819)) )).
% 12.29/12.52 cnf(matrix-1882, plain, ( hBOOL(hAPP(hAPP(c_member(_u2821), _u2822), _u2823)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2821, tc_HOL_Obool)), _u2823), hAPP(hAPP(c_Set_Oinsert(_u2821), _u2822), _u2824)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2821, tc_HOL_Obool)), _u2823), _u2824)) )).
% 12.29/12.52 cnf(matrix-1883, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2829), _u2831), _u2833)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2829, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2829), _u2831), _u2835)), _u2833) = hAPP(hAPP(c_Set_Oinsert(_u2829), _u2831), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2829, tc_HOL_Obool)), _u2835), _u2833))) )).
% 12.29/12.52 cnf(matrix-1884, plain, ( hBOOL(hAPP(hAPP(c_member(_u2830), _u2832), _u2834)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2830, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2830), _u2832), _u2836)), _u2834) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2830, tc_HOL_Obool)), _u2836), _u2834)) )).
% 12.29/12.52 cnf(matrix-1885, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2841), _u2843), _u2845)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2841, tc_HOL_Obool)), _u2845), hAPP(hAPP(c_Set_Oinsert(_u2841), _u2843), _u2847)) = hAPP(hAPP(c_Set_Oinsert(_u2841), _u2843), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2841, tc_HOL_Obool)), _u2845), _u2847))) )).
% 12.29/12.52 cnf(matrix-1886, plain, ( hBOOL(hAPP(hAPP(c_member(_u2842), _u2844), _u2846)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2842, tc_HOL_Obool)), _u2846), hAPP(hAPP(c_Set_Oinsert(_u2842), _u2844), _u2848)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2842, tc_HOL_Obool)), _u2846), _u2848)) )).
% 12.29/12.52 cnf(matrix-1887, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2849, tc_HOL_Obool)), _u2850), _u2851) != c_Orderings_Obot__class_Obot(tc_fun(_u2849, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2849, tc_HOL_Obool)), _u2850), _u2851) = _u2850) )).
% 12.29/12.52 cnf(matrix-1888, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2852, tc_HOL_Obool)), _u2853), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2852, tc_HOL_Obool)), _u2854), _u2853)) = c_Orderings_Obot__class_Obot(tc_fun(_u2852, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1889, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2855, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2855, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2856, _u2855, _u2857), _u2858)), hAPP(c_Set_Oimage(_u2856, _u2855, _u2857), _u2859))), hAPP(c_Set_Oimage(_u2856, _u2855, _u2857), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2856, tc_HOL_Obool)), _u2858), _u2859)))) )).
% 12.29/12.52 cnf(matrix-1890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2860, tc_HOL_Obool)), _u2861), hAPP(hAPP(c_Set_Oinsert(_u2860), _u2862), c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool))))) | ( _u2861 = c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool))) | ( _u2861 = hAPP(hAPP(c_Set_Oinsert(_u2860), _u2862), c_Orderings_Obot__class_Obot(tc_fun(_u2860, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1891, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2867, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2867, tc_HOL_Obool)), _u2869), _u2871)), _u2873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2867, tc_HOL_Obool)), _u2869), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2867, tc_HOL_Obool)), _u2871), _u2873))) )).
% 12.29/12.52 cnf(matrix-1892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2868, tc_HOL_Obool)), _u2870), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2868, tc_HOL_Obool)), _u2872), _u2874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2868, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2868, tc_HOL_Obool)), _u2870), _u2872)), _u2874)) )).
% 12.29/12.52 cnf(matrix-1893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2875, tc_HOL_Obool)), _u2876), _u2877)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2875, tc_HOL_Obool)), _u2876), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2875, tc_HOL_Obool)), _u2877), _u2876)) = _u2877) )).
% 12.29/12.52 cnf(matrix-1894, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u2878), _u2879), _u2880) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2878, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2878), _u2879), c_Orderings_Obot__class_Obot(tc_fun(_u2878, tc_HOL_Obool)))), _u2880)) )).
% 12.29/12.52 cnf(matrix-1895, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2881, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2881, tc_HOL_Obool)), _u2882), _u2883)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2881, tc_HOL_Obool)), _u2882), _u2883)) = _u2882) )).
% 12.29/12.52 cnf(matrix-1896, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2884, tc_HOL_Obool)), _u2885), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2884, tc_HOL_Obool)), _u2886), _u2887)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2884, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2884, tc_HOL_Obool)), _u2885), _u2886)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2884, tc_HOL_Obool)), _u2885), _u2887))) )).
% 12.29/12.52 cnf(matrix-1897, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2888, tc_HOL_Obool)), _u2889), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2888, tc_HOL_Obool)), _u2890), _u2891)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2888, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2888, tc_HOL_Obool)), _u2889), _u2890)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2888, tc_HOL_Obool)), _u2889), _u2891))) )).
% 12.29/12.52 cnf(matrix-1898, plain, ( ~class_Orderings_Olinorder(_u2892) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2892), _u2893), _u2894)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2892, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2892, _u2893), _u2895)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2892, _u2893), _u2894)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u2892, _u2894), _u2895)) )).
% 12.29/12.52 cnf(matrix-1899, plain, ( ~class_Orderings_Oorder(_u2896) | ( _u2897 != _u2898) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2896, _u2897, _u2898) = hAPP(hAPP(c_Set_Oinsert(_u2896), _u2897), c_Orderings_Obot__class_Obot(tc_fun(_u2896, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1900, plain, ( ~class_Orderings_Oorder(_u2899) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2899, _u2900, _u2901) != hAPP(hAPP(c_Set_Oinsert(_u2899), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2899, tc_HOL_Obool)))) | ( _u2900 = _u2901) )).
% 12.29/12.52 cnf(matrix-1901, plain, ( ~class_Orderings_Oorder(_u2899) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2899, _u2900, _u2901) != hAPP(hAPP(c_Set_Oinsert(_u2899), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2899, tc_HOL_Obool)))) | ( _u2901 = _u2902) )).
% 12.29/12.52 cnf(matrix-1902, plain, ( ~class_Orderings_Oorder(_u2899) | ( _u2900 != _u2901) | ( _u2901 != _u2902) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2899, _u2900, _u2901) = hAPP(hAPP(c_Set_Oinsert(_u2899), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2899, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1903, plain, ( ~class_Orderings_Oorder(_u2903) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u2903, _u2904, _u2904) = hAPP(hAPP(c_Set_Oinsert(_u2903), _u2904), c_Orderings_Obot__class_Obot(tc_fun(_u2903, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1904, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2905) | ( c_Complete__Lattice_OSup__class_OSup(_u2905, hAPP(hAPP(c_Set_Oinsert(_u2905), _u2906), c_Orderings_Obot__class_Obot(tc_fun(_u2905, tc_HOL_Obool)))) = _u2906) )).
% 12.29/12.52 cnf(matrix-1905, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2907) | ( c_Complete__Lattice_OSup__class_OSup(_u2907, hAPP(hAPP(c_Set_Oinsert(_u2907), _u2908), _u2909)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2907), _u2908), c_Complete__Lattice_OSup__class_OSup(_u2907, _u2909))) )).
% 12.29/12.52 cnf(matrix-1906, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2910, tc_HOL_Obool)), _u2911) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2910, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u2910, tc_HOL_Obool))), _u2911)) )).
% 12.29/12.52 cnf(matrix-1907, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2912, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2912, tc_HOL_Obool)), _u2913), _u2914)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2912, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2912, tc_HOL_Obool)), _u2913)), _u2914)) )).
% 12.29/12.52 cnf(matrix-1908, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2915, tc_HOL_Obool)), _u2916), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2915, tc_HOL_Obool)), _u2917)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2915, tc_HOL_Obool)), _u2916), _u2917)) )).
% 12.29/12.52 cnf(matrix-1909, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2918, tc_HOL_Obool)), _u2919), _u2920) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2918, tc_HOL_Obool)), _u2919), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2918, tc_HOL_Obool)), _u2920))) )).
% 12.29/12.52 cnf(matrix-1910, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2921) | ( c_Complete__Lattice_OInf__class_OInf(_u2921, hAPP(hAPP(c_Set_Oinsert(_u2921), _u2922), c_Orderings_Obot__class_Obot(tc_fun(_u2921, tc_HOL_Obool)))) = _u2922) )).
% 12.29/12.52 cnf(matrix-1911, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2923) | ( c_Complete__Lattice_OInf__class_OInf(_u2923, hAPP(hAPP(c_Set_Oinsert(_u2923), _u2924), _u2925)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2923), _u2924), c_Complete__Lattice_OInf__class_OInf(_u2923, _u2925))) )).
% 12.29/12.52 cnf(matrix-1912, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2926, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2926, tc_HOL_Obool)), _u2927), _u2928)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2926, tc_HOL_Obool)), _u2927), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2926, tc_HOL_Obool), _u2928))) )).
% 12.29/12.52 cnf(matrix-1913, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2929, tc_HOL_Obool)), _u2930), _u2931) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2929, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2929, tc_HOL_Obool)), _u2930), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2929, tc_HOL_Obool)), _u2931), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2929, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-1914, plain, ( ( hAPP(c_Set_OPow(_u2932), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2932, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2932, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1915, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2933, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2933, tc_HOL_Obool)), _u2934), _u2935)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2933, tc_HOL_Obool)), _u2934), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2933, tc_HOL_Obool), _u2935))) )).
% 12.29/12.52 cnf(matrix-1916, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2936, tc_HOL_Obool)), _u2937), _u2938) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u2936, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2936, tc_HOL_Obool)), _u2937), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2936, tc_HOL_Obool)), _u2938), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2936, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-1917, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2939), _u2940), _u2941)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2939, tc_fun(_u2942, tc_HOL_Obool)), _u2941), hAPP(hAPP(c_COMBB(tc_fun(_u2942, tc_HOL_Obool), tc_fun(_u2942, tc_HOL_Obool), _u2939), hAPP(c_Set_Oinsert(_u2942), _u2943)), _u2944)) = hAPP(hAPP(c_Set_Oinsert(_u2942), _u2943), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2939, tc_fun(_u2942, tc_HOL_Obool)), _u2941), _u2944))) )).
% 12.29/12.52 cnf(matrix-1918, plain, ( ( _u2949 != c_Orderings_Obot__class_Obot(tc_fun(_u2951, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2951, _u2953, hAPP(c_COMBK(_u2953, _u2951), _u2955)), _u2949) = c_Orderings_Obot__class_Obot(tc_fun(_u2953, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1919, plain, ( ( _u2950 = c_Orderings_Obot__class_Obot(tc_fun(_u2952, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2952, _u2954, hAPP(c_COMBK(_u2954, _u2952), _u2956)), _u2950) = hAPP(hAPP(c_Set_Oinsert(_u2954), _u2956), c_Orderings_Obot__class_Obot(tc_fun(_u2954, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1920, plain, ( ( _u2962 != c_Orderings_Obot__class_Obot(tc_fun(_u2964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u2966), _u2968), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2964, tc_fun(_u2966, tc_HOL_Obool)), _u2962), _u2970)) = hAPP(hAPP(c_Set_Oinsert(_u2966), _u2968), c_Orderings_Obot__class_Obot(tc_fun(_u2966, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1921, plain, ( ( _u2963 = c_Orderings_Obot__class_Obot(tc_fun(_u2965, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u2967), _u2969), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2965, tc_fun(_u2967, tc_HOL_Obool)), _u2963), _u2971)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2965, tc_fun(_u2967, tc_HOL_Obool)), _u2963), hAPP(hAPP(c_COMBB(tc_fun(_u2967, tc_HOL_Obool), tc_fun(_u2967, tc_HOL_Obool), _u2965), hAPP(c_Set_Oinsert(_u2967), _u2969)), _u2971))) )).
% 12.29/12.52 cnf(matrix-1922, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2972, tc_fun(_u2972, tc_HOL_Obool)), _u2973), hAPP(hAPP(c_COMBC(_u2972, tc_fun(_u2972, tc_HOL_Obool), tc_fun(_u2972, tc_HOL_Obool)), c_Set_Oinsert(_u2972)), c_Orderings_Obot__class_Obot(tc_fun(_u2972, tc_HOL_Obool)))) = _u2973) )).
% 12.29/12.52 cnf(matrix-1923, plain, ( ( _u2979 != c_Orderings_Obot__class_Obot(tc_fun(_u2981, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2981, tc_fun(_u2983, tc_HOL_Obool)), _u2979), hAPP(hAPP(c_COMBB(tc_fun(_u2983, tc_HOL_Obool), tc_fun(_u2983, tc_HOL_Obool), _u2981), hAPP(c_Set_Oinsert(_u2983), _u2985)), _u2987)) = c_Orderings_Obot__class_Obot(tc_fun(_u2983, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1924, plain, ( ( _u2980 = c_Orderings_Obot__class_Obot(tc_fun(_u2982, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2982, tc_fun(_u2984, tc_HOL_Obool)), _u2980), hAPP(hAPP(c_COMBB(tc_fun(_u2984, tc_HOL_Obool), tc_fun(_u2984, tc_HOL_Obool), _u2982), hAPP(c_Set_Oinsert(_u2984), _u2986)), _u2988)) = hAPP(hAPP(c_Set_Oinsert(_u2984), _u2986), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2982, tc_fun(_u2984, tc_HOL_Obool)), _u2980), _u2988))) )).
% 12.29/12.52 cnf(matrix-1925, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2989), _u2990), _u2991)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2989, tc_fun(_u2992, tc_HOL_Obool)), _u2991), hAPP(hAPP(c_COMBB(tc_fun(_u2992, tc_HOL_Obool), tc_fun(_u2992, tc_HOL_Obool), _u2989), hAPP(c_Set_Oinsert(_u2992), _u2993)), _u2994)) = hAPP(hAPP(c_Set_Oinsert(_u2992), _u2993), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u2989, tc_fun(_u2992, tc_HOL_Obool)), _u2991), _u2994))) )).
% 12.29/12.52 cnf(matrix-1926, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2995, tc_fun(_u2996, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2995), _u2997), _u2998)), _u2999) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2996, tc_HOL_Obool)), hAPP(_u2999, _u2997)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u2995, tc_fun(_u2996, tc_HOL_Obool)), _u2998), _u2999))) )).
% 12.29/12.52 cnf(matrix-1927, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3000, tc_fun(_u3001, tc_HOL_Obool)), _u3002), hAPP(hAPP(c_COMBB(tc_fun(_u3001, tc_HOL_Obool), tc_fun(_u3001, tc_HOL_Obool), _u3000), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3001, tc_HOL_Obool)), _u3003)), _u3004)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3001, tc_HOL_Obool)), _u3003), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3000, tc_fun(_u3001, tc_HOL_Obool)), _u3002), _u3004))) )).
% 12.29/12.52 cnf(matrix-1928, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3005, tc_HOL_Obool)), _u3006), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3007, tc_fun(_u3005, tc_HOL_Obool)), _u3008), _u3009)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3007, tc_fun(_u3005, tc_HOL_Obool)), _u3008), hAPP(hAPP(c_COMBB(tc_fun(_u3005, tc_HOL_Obool), tc_fun(_u3005, tc_HOL_Obool), _u3007), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3005, tc_HOL_Obool)), _u3006)), _u3009))) )).
% 12.29/12.52 cnf(matrix-1929, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3010, tc_fun(_u3011, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3010), _u3012), _u3013)), _u3014) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3011, tc_HOL_Obool)), hAPP(_u3014, _u3012)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3010, tc_fun(_u3011, tc_HOL_Obool)), _u3013), _u3014))) )).
% 12.29/12.52 cnf(matrix-1930, plain, ( ~class_Orderings_Oorder(_u3015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3015), _u3016), _u3017)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u3015, _u3017, _u3016) = c_Orderings_Obot__class_Obot(tc_fun(_u3015, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1931, plain, ( ~class_Groups_Oordered__ab__group__add(_u3018) | ( hAPP(c_Set_Oimage(_u3018, _u3018, c_Groups_Ouminus__class_Ouminus(_u3018)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3018, _u3019, _u3020)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u3018, hAPP(c_Groups_Ouminus__class_Ouminus(_u3018), _u3020), hAPP(c_Groups_Ouminus__class_Ouminus(_u3018), _u3019))) )).
% 12.29/12.52 cnf(matrix-1932, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3021) | ( c_Complete__Lattice_OSup__class_OSup(_u3021, hAPP(hAPP(c_Set_Oinsert(_u3021), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3021), _u3022), _u3023)) )).
% 12.29/12.52 cnf(matrix-1933, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3024) | ( c_Complete__Lattice_OInf__class_OInf(_u3024, hAPP(hAPP(c_Set_Oinsert(_u3024), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3024), _u3025), _u3026)) )).
% 12.29/12.52 cnf(matrix-1934, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3027), _u3028), _u3029)) | ( hAPP(c_Set_Oimage(_u3027, _u3030, hAPP(c_COMBK(_u3030, _u3027), _u3031)), _u3029) = hAPP(hAPP(c_Set_Oinsert(_u3030), _u3031), c_Orderings_Obot__class_Obot(tc_fun(_u3030, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-1935, plain, ( ( _u3037 != c_Orderings_Obot__class_Obot(tc_fun(_u3039, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3039, tc_fun(_u3041, tc_HOL_Obool)), _u3037), hAPP(hAPP(c_COMBC(_u3039, tc_fun(_u3041, tc_HOL_Obool), tc_fun(_u3041, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3041, tc_HOL_Obool), tc_fun(tc_fun(_u3041, tc_HOL_Obool), tc_fun(_u3041, tc_HOL_Obool)), _u3039), c_Groups_Ominus__class_Ominus(tc_fun(_u3041, tc_HOL_Obool))), _u3043)), _u3045)) = c_Orderings_Otop__class_Otop(tc_fun(_u3041, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1936, plain, ( ( _u3038 = c_Orderings_Obot__class_Obot(tc_fun(_u3040, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3040, tc_fun(_u3042, tc_HOL_Obool)), _u3038), hAPP(hAPP(c_COMBC(_u3040, tc_fun(_u3042, tc_HOL_Obool), tc_fun(_u3042, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3042, tc_HOL_Obool), tc_fun(tc_fun(_u3042, tc_HOL_Obool), tc_fun(_u3042, tc_HOL_Obool)), _u3040), c_Groups_Ominus__class_Ominus(tc_fun(_u3042, tc_HOL_Obool))), _u3044)), _u3046)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3042, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3040, tc_fun(_u3042, tc_HOL_Obool)), _u3038), _u3044)), _u3046)) )).
% 12.29/12.52 cnf(matrix-1937, plain, ( ( _u3052 != c_Orderings_Obot__class_Obot(tc_fun(_u3054, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3054, tc_fun(_u3056, tc_HOL_Obool)), _u3052), _u3058)), _u3060) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3056, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u3056, tc_HOL_Obool))), _u3060)) )).
% 12.29/12.52 cnf(matrix-1938, plain, ( ( _u3053 = c_Orderings_Obot__class_Obot(tc_fun(_u3055, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3055, tc_fun(_u3057, tc_HOL_Obool)), _u3053), _u3059)), _u3061) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3055, tc_fun(_u3057, tc_HOL_Obool)), _u3053), hAPP(hAPP(c_COMBC(_u3055, tc_fun(_u3057, tc_HOL_Obool), tc_fun(_u3057, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3057, tc_HOL_Obool), tc_fun(tc_fun(_u3057, tc_HOL_Obool), tc_fun(_u3057, tc_HOL_Obool)), _u3055), c_Groups_Ominus__class_Ominus(tc_fun(_u3057, tc_HOL_Obool))), _u3059)), _u3061))) )).
% 12.29/12.52 cnf(matrix-1939, plain, ( ( hAPP(c_Set_Oimage(_u3062, _u3063, _u3064), _u3065) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3062, tc_fun(_u3063, tc_HOL_Obool)), _u3065), hAPP(hAPP(c_COMBC(_u3062, tc_fun(_u3063, tc_HOL_Obool), tc_fun(_u3063, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3063, tc_fun(tc_fun(_u3063, tc_HOL_Obool), tc_fun(_u3063, tc_HOL_Obool)), _u3062), c_Set_Oinsert(_u3063)), _u3064)), c_Orderings_Obot__class_Obot(tc_fun(_u3063, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-1940, plain, ( ( _u3071 != c_Orderings_Obot__class_Obot(tc_fun(_u3073, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3075, tc_HOL_Obool)), _u3077), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3073, tc_fun(_u3075, tc_HOL_Obool)), _u3071), _u3079)) = _u3077) )).
% 12.29/12.52 cnf(matrix-1941, plain, ( ( _u3072 = c_Orderings_Obot__class_Obot(tc_fun(_u3074, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3076, tc_HOL_Obool)), _u3078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3074, tc_fun(_u3076, tc_HOL_Obool)), _u3072), _u3080)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3074, tc_fun(_u3076, tc_HOL_Obool)), _u3072), hAPP(hAPP(c_COMBB(tc_fun(_u3076, tc_HOL_Obool), tc_fun(_u3076, tc_HOL_Obool), _u3074), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3076, tc_HOL_Obool)), _u3078)), _u3080))) )).
% 12.29/12.52 cnf(matrix-1942, plain, ( ( hAPP(c_Set_OPow(_u3081), hAPP(hAPP(c_Set_Oinsert(_u3081), _u3082), _u3083)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u3081, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u3081), _u3083)), hAPP(c_Set_Oimage(tc_fun(_u3081, tc_HOL_Obool), tc_fun(_u3081, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u3081), _u3082)), hAPP(c_Set_OPow(_u3081), _u3083)))) )).
% 12.29/12.52 cnf(matrix-1943, plain, ( ~class_Orderings_Oorder(_u3084) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3084, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3084, _u3085, _u3086)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3084, _u3086, _u3087)) = c_Orderings_Obot__class_Obot(tc_fun(_u3084, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1944, plain, ( ~class_Orderings_Oorder(_u3088) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3088, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3088, _u3089, _u3090)), c_SetInterval_Oord__class_OatLeastAtMost(_u3088, _u3090, _u3091)) = c_Orderings_Obot__class_Obot(tc_fun(_u3088, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1945, plain, ( ~class_Orderings_Olinorder(_u3092) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3092, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3092), _u3093)), hAPP(hAPP(c_Set_Oinsert(_u3092), _u3093), c_Orderings_Obot__class_Obot(tc_fun(_u3092, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u3092), _u3093)) )).
% 12.29/12.52 cnf(matrix-1946, plain, ( ~class_Orderings_Oorder(_u3094) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3094, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3094, _u3095, _u3096)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3094, _u3096), _u3097)) = c_Orderings_Obot__class_Obot(tc_fun(_u3094, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-1947, plain, ( ( c_Set_Othe__elem(_u3098, hAPP(hAPP(c_Set_Oinsert(_u3098), _u3099), c_Orderings_Obot__class_Obot(tc_fun(_u3098, tc_HOL_Obool)))) = _u3099) )).
% 12.29/12.52 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3106), _u3108), _u3110)) | ( hAPP(c_Set_Oimage(_u3106, _u3112, c_Fun_Ofun__upd(_u3106, _u3112, _u3114, _u3108, _u3116)), _u3110) = hAPP(hAPP(c_Set_Oinsert(_u3112), _u3116), hAPP(c_Set_Oimage(_u3106, _u3112, _u3114), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3106, tc_HOL_Obool)), _u3110), hAPP(hAPP(c_Set_Oinsert(_u3106), _u3108), c_Orderings_Obot__class_Obot(tc_fun(_u3106, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-1949, plain, ( hBOOL(hAPP(hAPP(c_member(_u3107), _u3109), _u3111)) | ( hAPP(c_Set_Oimage(_u3107, _u3113, c_Fun_Ofun__upd(_u3107, _u3113, _u3115, _u3109, _u3117)), _u3111) = hAPP(c_Set_Oimage(_u3107, _u3113, _u3115), _u3111)) )).
% 12.29/12.52 cnf(matrix-1950, plain, ( ( _u3120 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3119, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3119, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3119, tc_HOL_Obool), _u3120)), _u3121)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3119, tc_HOL_Obool)), skolem62(_u3121, _u3120, _u3119)), _u3120)) )).
% 12.29/12.52 cnf(matrix-1951, plain, ( ( _u3120 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3119, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3119, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3119, tc_HOL_Obool), _u3120)), _u3121)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3119, tc_HOL_Obool)), skolem62(_u3121, _u3120, _u3119)), _u3121)) )).
% 12.29/12.52 cnf(matrix-1952, plain, ( ~class_Orderings_Olinorder(_u3122) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3122), _u3123), _u3124)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3122), _u3124), _u3125)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3122, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3122, _u3123, _u3124)), c_SetInterval_Oord__class_OatLeastAtMost(_u3122, _u3124, _u3125)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u3122, _u3123, _u3125)) )).
% 12.29/12.52 cnf(matrix-1953, plain, ( ~class_Orderings_Olinorder(_u3126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3126), _u3127), _u3128)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3126, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3126, _u3127, _u3128)), hAPP(hAPP(c_Set_Oinsert(_u3126), _u3128), c_Orderings_Obot__class_Obot(tc_fun(_u3126, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u3126, _u3127, _u3128)) )).
% 12.29/12.52 cnf(matrix-1954, plain, ( ~class_Orderings_Olinorder(_u3129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3129), _u3130), _u3131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3129), _u3131), _u3132)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3129, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3129, _u3130, _u3131)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3129, _u3131, _u3132)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3129, _u3130), _u3132)) )).
% 12.29/12.52 cnf(matrix-1955, plain, ( ~class_Orderings_Olinorder(_u3133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3133), _u3134), _u3135)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3133, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u3133), _u3134), c_Orderings_Obot__class_Obot(tc_fun(_u3133, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3133, _u3134, _u3135)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3133, _u3134), _u3135)) )).
% 12.29/12.52 cnf(matrix-1956, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u3136, tc_HOL_Obool), tc_fun(_u3136, tc_HOL_Obool), _u3137) | ~hBOOL(hAPP(hAPP(c_member(_u3136), _u3138), _u3139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3136, tc_HOL_Obool)), _u3139), hAPP(_u3137, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3136, tc_HOL_Obool)), _u3139), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3136, tc_HOL_Obool), _u3137))))) | hBOOL(hAPP(hAPP(c_member(_u3136), _u3138), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3136, tc_HOL_Obool), _u3137))) )).
% 12.29/12.52 cnf(matrix-1957, plain, ( ( _u3140 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3141, tc_HOL_Obool), _u3142)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u3141, tc_HOL_Obool), tc_fun(_u3141, tc_HOL_Obool), _u3142) | ~hBOOL(hAPP(hAPP(c_member(_u3141), _u3143), _u3144)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3141, tc_HOL_Obool)), _u3144), hAPP(_u3142, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3141, tc_HOL_Obool)), _u3144), _u3140)))) | hBOOL(hAPP(hAPP(c_member(_u3141), _u3143), _u3140)) )).
% 12.29/12.52 cnf(matrix-1958, plain, ( ( c_Fun_Ofun__upd(_u3145, _u3146, _u3147, _u3148, hAPP(_u3147, _u3148)) = _u3147) )).
% 12.29/12.52 cnf(matrix-1959, plain, ( ~class_Orderings_Opreorder(_u3149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3149), _u3150), _u3150)) )).
% 12.29/12.52 cnf(matrix-1960, plain, ( ~class_Orderings_Olinorder(_u3151) | ( _u3152 = _u3153) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3152), _u3153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3153), _u3152)) )).
% 12.29/12.52 cnf(matrix-1961, plain, ( ~class_Orderings_Olinorder(_u3151) | ( _u3152 != _u3153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3152), _u3153)) )).
% 12.29/12.52 cnf(matrix-1962, plain, ( ~class_Orderings_Olinorder(_u3151) | ( _u3152 != _u3153) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3151), _u3153), _u3152)) )).
% 12.29/12.52 cnf(matrix-1963, plain, ( ~class_Orderings_Olinorder(_u3154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3155), _u3156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3156), _u3155)) | ( _u3155 = _u3156) )).
% 12.29/12.52 cnf(matrix-1964, plain, ( ~class_Orderings_Olinorder(_u3154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3155), _u3156)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3156), _u3155)) )).
% 12.29/12.52 cnf(matrix-1965, plain, ( ~class_Orderings_Olinorder(_u3154) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3154), _u3155), _u3156)) | ( _u3155 != _u3156) )).
% 12.29/12.52 cnf(matrix-1966, plain, ( ~class_Orderings_Olinorder(_u3157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3157), _u3158), _u3159)) | ( _u3158 = _u3159) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3157), _u3159), _u3158)) )).
% 12.29/12.52 cnf(matrix-1967, plain, ( ~class_Orderings_Olinorder(_u3160) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3161), _u3162)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3162), _u3161)) | ( _u3162 = _u3161) )).
% 12.29/12.52 cnf(matrix-1968, plain, ( ~class_Orderings_Olinorder(_u3160) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3161), _u3162)) | ( _u3162 != _u3161) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3160), _u3162), _u3161)) )).
% 12.29/12.52 cnf(matrix-1969, plain, ( ~class_Orderings_Olinorder(_u3163) | ( _u3164 = _u3165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3163), _u3164), _u3165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3163), _u3165), _u3164)) )).
% 12.29/12.52 cnf(matrix-1970, plain, ( ~class_Orderings_Oorder(_u3166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3166), _u3167), _u3168)) | ( _u3167 != _u3168) )).
% 12.29/12.52 cnf(matrix-1971, plain, ( ~class_Orderings_Opreorder(_u3169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3169), _u3170), _u3171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3169), _u3171), _u3170)) )).
% 12.29/12.52 cnf(matrix-1972, plain, ( ~class_Orderings_Opreorder(_u3172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3172), _u3173), _u3174)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3172), _u3174), _u3173)) )).
% 12.29/12.52 cnf(matrix-1973, plain, ( ~class_Orderings_Oorder(_u3175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3175), _u3176), _u3177)) | ( _u3176 != _u3177) )).
% 12.29/12.52 cnf(matrix-1974, plain, ( ~class_Orderings_Oorder(_u3178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3178), _u3179), _u3180)) | ( _u3180 != _u3179) )).
% 12.29/12.52 cnf(matrix-1975, plain, ( ~class_Orderings_Opreorder(_u3181) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3181), _u3182), _u3183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3181), _u3183), _u3182)) )).
% 12.29/12.52 cnf(matrix-1976, plain, ( ~class_Orderings_Oorder(_u3184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3184), _u3185), _u3186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3184), _u3186), _u3185)) )).
% 12.29/12.52 cnf(matrix-1977, plain, ( ~class_Orderings_Oord(_u3187) | ( _u3188 != _u3189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3187), _u3189), _u3190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3187), _u3188), _u3190)) )).
% 12.29/12.52 cnf(matrix-1978, plain, ( ~class_Orderings_Oorder(_u3191) | ( _u3192 != _u3193) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3191), _u3194), _u3193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3191), _u3194), _u3192)) )).
% 12.29/12.52 cnf(matrix-1979, plain, ( ~class_Orderings_Oord(_u3195) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3195), _u3196), _u3197)) | ( _u3197 != _u3198) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3195), _u3196), _u3198)) )).
% 12.29/12.52 cnf(matrix-1980, plain, ( ~class_Orderings_Oorder(_u3199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3199), _u3200), _u3201)) | ( _u3200 != _u3202) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3199), _u3202), _u3201)) )).
% 12.29/12.52 cnf(matrix-1981, plain, ( ~class_Orderings_Opreorder(_u3203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3203), _u3204), _u3205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3203), _u3205), _u3206)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3203), _u3204), _u3206)) )).
% 12.29/12.52 cnf(matrix-1982, plain, ( ~class_Orderings_Oorder(_u3207) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3207), _u3208), _u3209)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3207), _u3210), _u3208)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3207), _u3210), _u3209)) )).
% 12.29/12.52 cnf(matrix-1983, plain, ( ~class_Orderings_Opreorder(_u3211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3211), _u3212), _u3213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3211), _u3213), _u3212)) )).
% 12.29/12.52 cnf(matrix-1984, plain, ( ~class_Orderings_Olinorder(_u3214) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3214), _u3215), _u3216)) | ( _u3215 = _u3216) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3214), _u3216), _u3215)) )).
% 12.29/12.52 cnf(matrix-1985, plain, ( ( hAPP(_u3226, _u3228) = _u3230) | ( c_Fun_Ofun__upd(_u3222, _u3224, _u3226, _u3228, _u3230) != _u3226) )).
% 12.29/12.52 cnf(matrix-1986, plain, ( ( hAPP(_u3227, _u3229) != _u3231) | ( c_Fun_Ofun__upd(_u3223, _u3225, _u3227, _u3229, _u3231) = _u3227) )).
% 12.29/12.52 cnf(matrix-1987, plain, ( ( c_Fun_Ofun__upd(_u3232, _u3233, c_Fun_Ofun__upd(_u3232, _u3233, _u3234, _u3235, _u3236), _u3235, _u3237) = c_Fun_Ofun__upd(_u3232, _u3233, _u3234, _u3235, _u3237)) )).
% 12.29/12.52 cnf(matrix-1988, plain, ( ( hAPP(c_Fun_Ofun__upd(_u3238, _u3239, _u3240, _u3241, _u3242), _u3241) = _u3242) )).
% 12.29/12.52 cnf(matrix-1989, plain, ( ( _u3249 != _u3251) | ( hAPP(c_Fun_Ofun__upd(_u3253, _u3255, _u3257, _u3251, _u3259), _u3249) = _u3259) )).
% 12.29/12.52 cnf(matrix-1990, plain, ( ( _u3250 = _u3252) | ( hAPP(c_Fun_Ofun__upd(_u3254, _u3256, _u3258, _u3252, _u3260), _u3250) = hAPP(_u3258, _u3250)) )).
% 12.29/12.52 cnf(matrix-1991, plain, ( ( _u3261 = _u3262) | ( c_Fun_Ofun__upd(_u3263, _u3264, c_Fun_Ofun__upd(_u3263, _u3264, _u3265, _u3261, _u3266), _u3262, _u3267) = c_Fun_Ofun__upd(_u3263, _u3264, c_Fun_Ofun__upd(_u3263, _u3264, _u3265, _u3262, _u3267), _u3261, _u3266)) )).
% 12.29/12.52 cnf(matrix-1992, plain, ( ( _u3268 = _u3269) | ( hAPP(c_Fun_Ofun__upd(_u3270, _u3271, _u3272, _u3269, _u3273), _u3268) = hAPP(_u3272, _u3268)) )).
% 12.29/12.52 cnf(matrix-1993, plain, ( ( hAPP(_u3274, _u3275) != _u3276) | ( c_Fun_Ofun__upd(_u3277, _u3278, _u3274, _u3275, _u3276) = _u3274) )).
% 12.29/12.52 cnf(matrix-1994, plain, ( ~class_Orderings_Olinorder(_u3279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3279, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3280)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3281))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3279), _u3280), _u3281)) )).
% 12.29/12.52 cnf(matrix-1995, plain, ( ~class_Orderings_Olinorder(_u3279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3279), _u3280), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3279, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3280)), hAPP(c_SetInterval_Oord__class_OlessThan(_u3279), _u3281))) )).
% 12.29/12.52 cnf(matrix-1996, plain, ( ( _u3288 != _u3290) | ( hAPP(c_Fun_Ofun__upd(_u3292, _u3294, _u3296, _u3290, _u3298), _u3288) = _u3298) )).
% 12.29/12.52 cnf(matrix-1997, plain, ( ( _u3289 = _u3291) | ( hAPP(c_Fun_Ofun__upd(_u3293, _u3295, _u3297, _u3291, _u3299), _u3289) = hAPP(_u3297, _u3289)) )).
% 12.29/12.52 cnf(matrix-1998, plain, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3301)) )).
% 12.29/12.52 cnf(matrix-1999, plain, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3302), _u3304)) )).
% 12.29/12.52 cnf(matrix-2000, plain, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3303), _u3301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3302), _u3304)) )).
% 12.29/12.52 cnf(matrix-2001, plain, ( ~class_Orderings_Oorder(_u3300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) )).
% 12.29/12.52 cnf(matrix-2002, plain, ( ~class_Orderings_Oorder(_u3300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3301), _u3302)) )).
% 12.29/12.52 cnf(matrix-2003, plain, ( ~class_Orderings_Oorder(_u3300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3302), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3303), _u3301)) )).
% 12.29/12.52 cnf(matrix-2004, plain, ( ~class_Orderings_Oorder(_u3300) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3300, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3301, _u3302)), c_SetInterval_Oord__class_OatLeastAtMost(_u3300, _u3303, _u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3303), _u3301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3300), _u3302), _u3304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3300), _u3302), _u3304)) )).
% 12.29/12.52 cnf(matrix-2005, plain, ( ~class_Orderings_Oord(_u3305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3306, _u3305)), _u3307), _u3308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3307), _u3308)) )).
% 12.29/12.52 cnf(matrix-2006, plain, ( ~class_Orderings_Oord(_u3305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3306, _u3305)), _u3307), _u3308)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3308), _u3307)) )).
% 12.29/12.52 cnf(matrix-2007, plain, ( ~class_Orderings_Oord(_u3305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3307), _u3308)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3306, _u3305)), _u3308), _u3307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3306, _u3305)), _u3307), _u3308)) )).
% 12.29/12.52 cnf(matrix-2008, plain, ( ~class_Orderings_Olinorder(_u3309) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3309), _u3310), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3309), _u3311), _u3310)) )).
% 12.29/12.52 cnf(matrix-2009, plain, ( ~class_Orderings_Olinorder(_u3309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3309), _u3311), _u3310)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3309), _u3310), _u3311)) )).
% 12.29/12.52 cnf(matrix-2010, plain, ( ~class_Orderings_Olinorder(_u3312) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3312), _u3313), _u3314)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3313)) )).
% 12.29/12.52 cnf(matrix-2011, plain, ( ~class_Orderings_Olinorder(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3312), _u3313), _u3314)) )).
% 12.29/12.52 cnf(matrix-2012, plain, ( ~class_Orderings_Olinorder(_u3315) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3315), _u3316), _u3317)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3315), _u3317), _u3316)) )).
% 12.29/12.52 cnf(matrix-2013, plain, ( ~class_Orderings_Oorder(_u3318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3318), _u3319), _u3320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3318), _u3319), _u3320)) )).
% 12.29/12.52 cnf(matrix-2014, plain, ( ~class_Orderings_Oorder(_u3318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3318), _u3319), _u3320)) | ( _u3319 != _u3320) )).
% 12.29/12.52 cnf(matrix-2015, plain, ( ~class_Orderings_Oorder(_u3318) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3318), _u3319), _u3320)) | ( _u3319 = _u3320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3318), _u3319), _u3320)) )).
% 12.29/12.52 cnf(matrix-2016, plain, ( ~class_Orderings_Opreorder(_u3321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3321), _u3322), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3322), _u3323)) )).
% 12.29/12.52 cnf(matrix-2017, plain, ( ~class_Orderings_Opreorder(_u3321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3321), _u3322), _u3323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3323), _u3322)) )).
% 12.29/12.52 cnf(matrix-2018, plain, ( ~class_Orderings_Opreorder(_u3321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3322), _u3323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3321), _u3323), _u3322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3321), _u3322), _u3323)) )).
% 12.29/12.52 cnf(matrix-2019, plain, ( ~class_Orderings_Oorder(_u3324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3324), _u3325), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3324), _u3325), _u3326)) | ( _u3325 = _u3326) )).
% 12.29/12.52 cnf(matrix-2020, plain, ( ~class_Orderings_Oorder(_u3324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3324), _u3325), _u3326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3324), _u3325), _u3326)) )).
% 12.29/12.52 cnf(matrix-2021, plain, ( ~class_Orderings_Oorder(_u3324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3324), _u3325), _u3326)) | ( _u3325 != _u3326) )).
% 12.29/12.52 cnf(matrix-2022, plain, ( ~class_Orderings_Olinorder(_u3327) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3327), _u3328), _u3329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3327), _u3329), _u3328)) )).
% 12.29/12.52 cnf(matrix-2023, plain, ( ~class_Orderings_Olinorder(_u3330) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3330), _u3331), _u3332)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3330), _u3332), _u3331)) )).
% 12.29/12.52 cnf(matrix-2024, plain, ( ~class_Orderings_Olinorder(_u3333) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3333), _u3334), _u3335)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3334), _u3335)) | ( _u3334 = _u3335) )).
% 12.29/12.52 cnf(matrix-2025, plain, ( ~class_Orderings_Olinorder(_u3333) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3333), _u3334), _u3335)) | ( _u3334 != _u3335) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3333), _u3334), _u3335)) )).
% 12.29/12.52 cnf(matrix-2026, plain, ( ~class_Orderings_Oorder(_u3336) | ( _u3337 = _u3338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3336), _u3337), _u3338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3336), _u3337), _u3338)) )).
% 12.29/12.52 cnf(matrix-2027, plain, ( ~class_Orderings_Oorder(_u3339) | ( _u3340 = _u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3339), _u3341), _u3340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3339), _u3341), _u3340)) )).
% 12.29/12.52 cnf(matrix-2028, plain, ( ~class_Orderings_Olinorder(_u3342) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3342), _u3343), _u3344)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3342), _u3344), _u3343)) )).
% 12.29/12.52 cnf(matrix-2029, plain, ( ~class_Orderings_Opreorder(_u3345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), _u3346), _u3347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3345), _u3346), _u3347)) )).
% 12.29/12.52 cnf(matrix-2030, plain, ( ~class_Orderings_Olinorder(_u3348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3348), _u3349), _u3350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3348), _u3349), _u3350)) | ( _u3349 = _u3350) )).
% 12.29/12.52 cnf(matrix-2031, plain, ( ~class_Orderings_Olinorder(_u3348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3348), _u3349), _u3350)) | ( _u3349 != _u3350) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3348), _u3349), _u3350)) )).
% 12.29/12.52 cnf(matrix-2032, plain, ( ~class_Orderings_Oorder(_u3351) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3351), _u3352), _u3353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3351), _u3352), _u3353)) | ( _u3352 = _u3353) )).
% 12.29/12.52 cnf(matrix-2033, plain, ( ~class_Orderings_Oorder(_u3354) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3354), _u3355), _u3356)) | ( _u3355 = _u3356) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3354), _u3355), _u3356)) )).
% 12.29/12.52 cnf(matrix-2034, plain, ( ~class_Orderings_Oorder(_u3357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3357), _u3358), _u3359)) | ( _u3359 = _u3358) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), _u3358), _u3359)) )).
% 12.29/12.52 cnf(matrix-2035, plain, ( ~class_Orderings_Opreorder(_u3360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3360), _u3361), _u3362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3360), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3360), _u3361), _u3363)) )).
% 12.29/12.52 cnf(matrix-2036, plain, ( ~class_Orderings_Oorder(_u3364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3365), _u3366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3364), _u3367), _u3365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3367), _u3366)) )).
% 12.29/12.52 cnf(matrix-2037, plain, ( ~class_Orderings_Opreorder(_u3368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3368), _u3369), _u3370)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3368), _u3370), _u3371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3368), _u3369), _u3371)) )).
% 12.29/12.52 cnf(matrix-2038, plain, ( ~class_Orderings_Oorder(_u3372) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3372), _u3373), _u3374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3372), _u3375), _u3373)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3372), _u3375), _u3374)) )).
% 12.29/12.52 cnf(matrix-2039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3376, tc_HOL_Obool)), _u3377), _u3378)) | ~hBOOL(hAPP(hAPP(c_member(_u3376), _u3379), _u3377)) | hBOOL(hAPP(hAPP(c_member(_u3376), _u3379), _u3378)) )).
% 12.29/12.52 cnf(matrix-2040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3380, tc_HOL_Obool)), _u3381), c_Orderings_Obot__class_Obot(tc_fun(_u3380, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2041, plain, ( ~class_Groups_Oordered__ab__group__add(_u3382) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3383), _u3384) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3385), _u3386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3383), _u3384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3385), _u3386)) )).
% 12.29/12.52 cnf(matrix-2042, plain, ( ~class_Groups_Oordered__ab__group__add(_u3382) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3383), _u3384) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3382), _u3385), _u3386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3385), _u3386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3382), _u3383), _u3384)) )).
% 12.29/12.52 cnf(matrix-2043, plain, ( ~class_Lattices_Osemilattice__sup(_u3387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3387), _u3388), _u3389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3387), _u3388), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3387), _u3389), _u3390))) )).
% 12.29/12.52 cnf(matrix-2044, plain, ( ~class_Lattices_Osemilattice__sup(_u3391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3391), _u3392), _u3393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3391), _u3392), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3391), _u3394), _u3393))) )).
% 12.29/12.52 cnf(matrix-2045, plain, ( ~class_Lattices_Osemilattice__inf(_u3395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3395), _u3396), _u3397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3395), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3395), _u3396), _u3398)), _u3397)) )).
% 12.29/12.52 cnf(matrix-2046, plain, ( ~class_Lattices_Osemilattice__inf(_u3399) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3399), _u3400), _u3401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3399), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3399), _u3402), _u3400)), _u3401)) )).
% 12.29/12.52 cnf(matrix-2047, plain, ( ~class_Groups_Oordered__ab__group__add(_u3403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3404)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), _u3405), _u3404)) )).
% 12.29/12.52 cnf(matrix-2048, plain, ( ~class_Groups_Oordered__ab__group__add(_u3403) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), _u3405), _u3404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3403), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3404)), hAPP(c_Groups_Ouminus__class_Ouminus(_u3403), _u3405))) )).
% 12.29/12.52 cnf(matrix-2049, plain, ( ~class_Groups_Oordered__ab__group__add(_u3406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3407)), _u3408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3408)), _u3407)) )).
% 12.29/12.52 cnf(matrix-2050, plain, ( ~class_Groups_Oordered__ab__group__add(_u3406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3408)), _u3407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3406), hAPP(c_Groups_Ouminus__class_Ouminus(_u3406), _u3407)), _u3408)) )).
% 12.29/12.52 cnf(matrix-2051, plain, ( ~class_Groups_Oordered__ab__group__add(_u3409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3410), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3411))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3411), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3410))) )).
% 12.29/12.52 cnf(matrix-2052, plain, ( ~class_Groups_Oordered__ab__group__add(_u3409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3411), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3410))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3409), _u3410), hAPP(c_Groups_Ouminus__class_Ouminus(_u3409), _u3411))) )).
% 12.29/12.52 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3415, tc_HOL_Obool)), _u3417), _u3419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3415, tc_HOL_Obool)), _u3417), _u3419)) )).
% 12.29/12.52 cnf(matrix-2054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3415, tc_HOL_Obool)), _u3417), _u3419)) | ( _u3417 != _u3419) )).
% 12.29/12.52 cnf(matrix-2055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3416, tc_HOL_Obool)), _u3418), _u3420)) | ( _u3418 = _u3420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3416, tc_HOL_Obool)), _u3418), _u3420)) )).
% 12.29/12.52 cnf(matrix-2056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3424, tc_HOL_Obool)), _u3426), _u3428)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3424, tc_HOL_Obool)), _u3426), _u3428)) | ( _u3426 = _u3428) )).
% 12.29/12.52 cnf(matrix-2057, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3425, tc_HOL_Obool)), _u3427), _u3429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3425, tc_HOL_Obool)), _u3427), _u3429)) )).
% 12.29/12.52 cnf(matrix-2058, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3425, tc_HOL_Obool)), _u3427), _u3429)) | ( _u3427 != _u3429) )).
% 12.29/12.52 cnf(matrix-2059, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3430, tc_HOL_Obool)), _u3431), _u3432)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3430, tc_HOL_Obool)), _u3431), _u3432)) )).
% 12.29/12.52 cnf(matrix-2060, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3433, tc_HOL_Obool)), _u3434), _u3435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3433, tc_HOL_Obool)), _u3435), _u3436)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3433, tc_HOL_Obool)), _u3434), _u3436)) )).
% 12.29/12.52 cnf(matrix-2061, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3437, tc_HOL_Obool)), _u3438), _u3439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3437, tc_HOL_Obool)), _u3439), _u3440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3437, tc_HOL_Obool)), _u3438), _u3440)) )).
% 12.29/12.52 cnf(matrix-2062, plain, ( ~class_Orderings_Olinorder(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3444), _u3445)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3442), _u3443) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3444), _u3445)) | ( _u3442 = _u3444) )).
% 12.29/12.52 cnf(matrix-2063, plain, ( ~class_Orderings_Olinorder(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3444), _u3445)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3442), _u3443) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3444), _u3445)) | ( _u3443 = _u3445) )).
% 12.29/12.52 cnf(matrix-2064, plain, ( ~class_Orderings_Olinorder(_u3441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3442), _u3443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3441), _u3444), _u3445)) | ( _u3442 != _u3444) | ( _u3443 != _u3445) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3442), _u3443) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3441, _u3444), _u3445)) )).
% 12.29/12.52 cnf(matrix-2065, plain, ( ~class_Orderings_Olinorder(_u3446) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3446, _u3447), _u3448) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3446, _u3449), _u3450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3446), _u3447), _u3448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3446), _u3449), _u3450)) | ( _u3447 = _u3449) )).
% 12.29/12.52 cnf(matrix-2066, plain, ( ~class_Orderings_Olinorder(_u3451) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3451, _u3452), _u3453) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3451, _u3454), _u3455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3451), _u3452), _u3453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3451), _u3454), _u3455)) | ( _u3453 = _u3455) )).
% 12.29/12.52 cnf(matrix-2067, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3458) | ~class_Orderings_Olinorder(_u3458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), c_Complete__Lattice_OSup__class_OSup(_u3458, _u3460))) | hBOOL(hAPP(hAPP(c_member(_u3458), skolem63(_u3460, _u3459, _u3458)), _u3460)) )).
% 12.29/12.52 cnf(matrix-2068, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3458) | ~class_Orderings_Olinorder(_u3458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), c_Complete__Lattice_OSup__class_OSup(_u3458, _u3460))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), skolem63(_u3460, _u3459, _u3458))) )).
% 12.29/12.52 cnf(matrix-2069, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3458) | ~class_Orderings_Olinorder(_u3458) | ~hBOOL(hAPP(hAPP(c_member(_u3458), _u3457), _u3460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), _u3457)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3458), _u3459), c_Complete__Lattice_OSup__class_OSup(_u3458, _u3460))) )).
% 12.29/12.52 cnf(matrix-2070, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3463) | ~class_Orderings_Olinorder(_u3463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), c_Complete__Lattice_OInf__class_OInf(_u3463, _u3464)), _u3465)) | hBOOL(hAPP(hAPP(c_member(_u3463), skolem64(_u3465, _u3464, _u3463)), _u3464)) )).
% 12.29/12.52 cnf(matrix-2071, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3463) | ~class_Orderings_Olinorder(_u3463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), c_Complete__Lattice_OInf__class_OInf(_u3463, _u3464)), _u3465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), skolem64(_u3465, _u3464, _u3463)), _u3465)) )).
% 12.29/12.52 cnf(matrix-2072, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3463) | ~class_Orderings_Olinorder(_u3463) | ~hBOOL(hAPP(hAPP(c_member(_u3463), _u3462), _u3464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), _u3462), _u3465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3463), c_Complete__Lattice_OInf__class_OInf(_u3463, _u3464)), _u3465)) )).
% 12.29/12.52 cnf(matrix-2073, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3468) | ~class_Orderings_Olinorder(_u3468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3470, _u3468), _u3471), _u3472))) | hBOOL(hAPP(hAPP(c_member(_u3470), skolem65(_u3472, _u3471, _u3470, _u3469, _u3468)), _u3471)) )).
% 12.29/12.52 cnf(matrix-2074, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3468) | ~class_Orderings_Olinorder(_u3468) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3470, _u3468), _u3471), _u3472))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(_u3472, skolem65(_u3472, _u3471, _u3470, _u3469, _u3468)))) )).
% 12.29/12.52 cnf(matrix-2075, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3468) | ~class_Orderings_Olinorder(_u3468) | ~hBOOL(hAPP(hAPP(c_member(_u3470), _u3467), _u3471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(_u3472, _u3467))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3468), _u3469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3470, _u3468), _u3471), _u3472))) )).
% 12.29/12.52 cnf(matrix-2076, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3475) | ~class_Orderings_Olinorder(_u3475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3476, _u3475), _u3477), _u3478)), _u3479)) | hBOOL(hAPP(hAPP(c_member(_u3476), skolem66(_u3479, _u3478, _u3477, _u3476, _u3475)), _u3477)) )).
% 12.29/12.52 cnf(matrix-2077, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3475) | ~class_Orderings_Olinorder(_u3475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3476, _u3475), _u3477), _u3478)), _u3479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(_u3478, skolem66(_u3479, _u3478, _u3477, _u3476, _u3475))), _u3479)) )).
% 12.29/12.52 cnf(matrix-2078, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3475) | ~class_Orderings_Olinorder(_u3475) | ~hBOOL(hAPP(hAPP(c_member(_u3476), _u3474), _u3477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(_u3478, _u3474)), _u3479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3475), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3476, _u3475), _u3477), _u3478)), _u3479)) )).
% 12.29/12.52 cnf(matrix-2079, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3480), _u3481), hAPP(_u3482, _u3481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3480), _u3481), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3480, _u3482))) )).
% 12.29/12.52 cnf(matrix-2080, plain, ( ~class_Orderings_Oorder(_u3483) | ~class_Orderings_Olinorder(_u3484) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3484, _u3483, _u3485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), hAPP(_u3485, _u3486)), hAPP(_u3485, _u3487))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3484), _u3486), _u3487)) )).
% 12.29/12.52 cnf(matrix-2081, plain, ( ~class_Orderings_Oorder(_u3483) | ~class_Orderings_Olinorder(_u3484) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3484, _u3483, _u3485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3484), _u3486), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3483), hAPP(_u3485, _u3486)), hAPP(_u3485, _u3487))) )).
% 12.29/12.52 cnf(matrix-2082, plain, ( ~class_Orderings_Oorder(_u3488) | ~class_Orderings_Oorder(_u3489) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3489, _u3488, _u3490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3489), _u3491), _u3492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3488), hAPP(_u3490, _u3491)), hAPP(_u3490, _u3492))) )).
% 12.29/12.52 cnf(matrix-2083, plain, ( ~class_Orderings_Owellorder(_u3493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3493), _u3494), c_Orderings_Oord__class_OLeast(_u3493, _u3495))) | ~hBOOL(hAPP(_u3495, _u3494)) )).
% 12.29/12.52 cnf(matrix-2084, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3496) | ( _u3497 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u3496, _u3498)) | ~c_Orderings_Oorder__class_Omono(_u3496, _u3496, _u3498) | ( _u3497 = hAPP(_u3498, _u3497)) )).
% 12.29/12.52 cnf(matrix-2085, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3499) | ~c_Orderings_Oorder__class_Omono(_u3499, _u3499, _u3500) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u3499, _u3500) = hAPP(_u3500, c_Inductive_Ocomplete__lattice__class_Ogfp(_u3499, _u3500))) )).
% 12.29/12.52 cnf(matrix-2086, plain, ( ~class_Orderings_Oorder(_u3501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3501), _u3502), _u3503)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u3501, _u3503, _u3502) = c_Orderings_Obot__class_Obot(tc_fun(_u3501, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2087, plain, ( ~class_Orderings_Oorder(_u3504) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3504, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3504, _u3505), _u3506)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3504), _u3505), _u3506)) )).
% 12.29/12.52 cnf(matrix-2088, plain, ( ~class_Orderings_Oorder(_u3504) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3504), _u3505), _u3506)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3504, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3504, _u3505), _u3506)) )).
% 12.29/12.52 cnf(matrix-2089, plain, ( ~class_Orderings_Oorder(_u3507) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3507, _u3508), _u3509) != c_Orderings_Obot__class_Obot(tc_fun(_u3507, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), _u3509)) )).
% 12.29/12.52 cnf(matrix-2090, plain, ( ~class_Orderings_Oorder(_u3507) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), _u3509)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3507, _u3508), _u3509) = c_Orderings_Obot__class_Obot(tc_fun(_u3507, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2091, plain, ( ~class_Orderings_Oord(_u3510) | ~hBOOL(hAPP(hAPP(c_member(_u3510), _u3511), hAPP(c_SetInterval_Oord__class_OlessThan(_u3510), _u3512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), _u3511), _u3512)) )).
% 12.29/12.52 cnf(matrix-2092, plain, ( ~class_Orderings_Oord(_u3510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), _u3511), _u3512)) | hBOOL(hAPP(hAPP(c_member(_u3510), _u3511), hAPP(c_SetInterval_Oord__class_OlessThan(_u3510), _u3512))) )).
% 12.29/12.52 cnf(matrix-2093, plain, ( ~class_Orderings_Oorder(_u3513) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3513, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u3513, _u3514, _u3515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3514), _u3515)) )).
% 12.29/12.52 cnf(matrix-2094, plain, ( ~class_Orderings_Oorder(_u3513) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3514), _u3515)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u3513, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u3513, _u3514, _u3515)) )).
% 12.29/12.52 cnf(matrix-2095, plain, ( ~class_Orderings_Oorder(_u3516) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u3516, _u3517, _u3518) != c_Orderings_Obot__class_Obot(tc_fun(_u3516, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3516), _u3517), _u3518)) )).
% 12.29/12.52 cnf(matrix-2096, plain, ( ~class_Orderings_Oorder(_u3516) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3516), _u3517), _u3518)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u3516, _u3517, _u3518) = c_Orderings_Obot__class_Obot(tc_fun(_u3516, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2097, plain, ( ~class_Orderings_Oord(_u3519) | ~hBOOL(hAPP(hAPP(c_member(_u3519), _u3520), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u3519), _u3521))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3519), _u3521), _u3520)) )).
% 12.29/12.52 cnf(matrix-2098, plain, ( ~class_Orderings_Oord(_u3519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3519), _u3521), _u3520)) | hBOOL(hAPP(hAPP(c_member(_u3519), _u3520), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u3519), _u3521))) )).
% 12.29/12.52 cnf(matrix-2099, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3522), _u3523), _u3524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3522, tc_HOL_Obool)), _u3524), hAPP(_u3525, _u3524))) | hBOOL(hAPP(hAPP(c_member(_u3522), _u3523), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3522, tc_HOL_Obool), _u3525))) )).
% 12.29/12.52 cnf(matrix-2100, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3526) | ~c_Orderings_Oorder__class_Omono(_u3526, _u3526, _u3527) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3526), hAPP(_u3527, c_Inductive_Ocomplete__lattice__class_Ogfp(_u3526, _u3527))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3526, _u3527))) )).
% 12.29/12.52 cnf(matrix-2101, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3528) | ~c_Orderings_Oorder__class_Omono(_u3528, _u3528, _u3529) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3528), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3528, _u3529)), hAPP(_u3529, c_Inductive_Ocomplete__lattice__class_Ogfp(_u3528, _u3529)))) )).
% 12.29/12.52 cnf(matrix-2102, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3530), _u3531), _u3532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3533, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3530, _u3533, _u3534), _u3532)), hAPP(_u3535, hAPP(c_Set_Oimage(_u3530, _u3533, _u3534), _u3532)))) | hBOOL(hAPP(hAPP(c_member(_u3533), hAPP(_u3534, _u3531)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3533, tc_HOL_Obool), _u3535))) )).
% 12.29/12.52 cnf(matrix-2103, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u3536, tc_HOL_Obool), tc_fun(_u3536, tc_HOL_Obool), _u3537) | ~hBOOL(hAPP(hAPP(c_member(_u3536), _u3538), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3536, tc_HOL_Obool), _u3537))) | hBOOL(hAPP(hAPP(c_member(_u3536), _u3538), hAPP(_u3537, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3536, tc_HOL_Obool)), _u3539), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3536, tc_HOL_Obool), _u3537))))) )).
% 12.29/12.52 cnf(matrix-2104, plain, ( ~class_Orderings_Olinorder(_u3540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3540), _u3541), _u3542)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3540), _u3542), _u3543)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3540, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3540, _u3541, _u3542)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u3540, _u3542), _u3543)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u3540, _u3541, _u3543)) )).
% 12.29/12.52 cnf(matrix-2105, plain, ( ~class_Orderings_Olinorder(_u3544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3544), _u3545), _u3546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3544), _u3546), _u3547)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3544, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u3544, _u3545, _u3546)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3544, _u3546, _u3547)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u3544, _u3545, _u3547)) )).
% 12.29/12.52 cnf(matrix-2106, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3548) | ( _u3549 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u3548, _u3550)) | ~c_Orderings_Oorder__class_Omono(_u3548, _u3548, _u3550) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3548), _u3551), hAPP(_u3550, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3548), _u3551), _u3549)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3548), _u3551), _u3549)) )).
% 12.29/12.52 cnf(matrix-2107, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3552), _u3553), hAPP(_u3554, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3552), _u3553), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3552, _u3554))))) | ~c_Orderings_Oorder__class_Omono(_u3552, _u3552, _u3554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3552), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3552), _u3553), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3552, _u3554))), hAPP(_u3554, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3552), _u3553), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3552, _u3554))))) )).
% 12.29/12.52 cnf(matrix-2108, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3555) | ~c_Orderings_Oorder__class_Omono(_u3555, _u3555, _u3556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3555), _u3557), hAPP(_u3556, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3555), _u3557), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3555, _u3556))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3555), _u3557), c_Inductive_Ocomplete__lattice__class_Ogfp(_u3555, _u3556))) )).
% 12.29/12.52 cnf(matrix-2109, plain, ( ~class_Orderings_Olinorder(_u3558) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3558), _u3559), _u3560)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3558, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u3558), _u3559)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3558, _u3559, _u3560)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u3558), _u3560)) )).
% 12.29/12.52 cnf(matrix-2110, plain, ( ~class_Orderings_Olinorder(_u3561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), _u3562), _u3563)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3561, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u3561, _u3562, _u3563)), hAPP(c_SetInterval_Oord__class_OatLeast(_u3561), _u3563)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u3561), _u3562)) )).
% 12.29/12.52 cnf(matrix-2111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), _u3574))) | ~hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), _u3574)) )).
% 12.29/12.52 cnf(matrix-2112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), _u3574))) | hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3574)) | ~hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), c_Orderings_Obot__class_Obot(tc_fun(_u3568, tc_HOL_Obool))))), _u3574)) )).
% 12.29/12.52 cnf(matrix-2113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3568, tc_HOL_Obool)), _u3570), hAPP(hAPP(c_Set_Oinsert(_u3568), _u3572), _u3574))) | hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3574)) | hBOOL(hAPP(hAPP(c_member(_u3568), _u3572), _u3570)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3568, tc_HOL_Obool)), _u3570), _u3574)) )).
% 12.29/12.52 cnf(matrix-2114, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.29/12.52 cnf(matrix-2115, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) )).
% 12.29/12.52 cnf(matrix-2116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.29/12.52 cnf(matrix-2117, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | ~hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3575)) )).
% 12.29/12.52 cnf(matrix-2118, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.29/12.52 cnf(matrix-2119, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_member(_u3569), _u3573), _u3571)) )).
% 12.29/12.52 cnf(matrix-2120, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), _u3575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3569, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3569, tc_HOL_Obool)), _u3571), hAPP(hAPP(c_Set_Oinsert(_u3569), _u3573), c_Orderings_Obot__class_Obot(tc_fun(_u3569, tc_HOL_Obool))))), _u3575)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3569, tc_HOL_Obool)), _u3571), _u3575)) )).
% 12.29/12.52 cnf(matrix-2121, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool), _u3577) | ~hBOOL(hAPP(hAPP(c_member(_u3576), _u3578), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3576, tc_HOL_Obool)), _u3579), hAPP(_u3577, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3576, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3576, tc_HOL_Obool), tc_fun(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), tc_fun(_u3576, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3576, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3576, tc_HOL_Obool), tc_fun(tc_fun(_u3576, tc_HOL_Obool), tc_fun(_u3576, tc_HOL_Obool)), tc_fun(_u3576, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3576, tc_HOL_Obool))), _u3577)), _u3579))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3576, tc_HOL_Obool), _u3577)))))) | hBOOL(hAPP(hAPP(c_member(_u3576), _u3578), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3576, tc_HOL_Obool), _u3577))) )).
% 12.29/12.52 cnf(matrix-2122, plain, ( ( _u3580 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3581, tc_HOL_Obool), _u3582)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool), _u3582) | ~hBOOL(hAPP(hAPP(c_member(_u3581), _u3583), _u3584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3581, tc_HOL_Obool)), _u3584), hAPP(_u3582, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3581, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3581, tc_HOL_Obool), tc_fun(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), tc_fun(_u3581, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3581, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3581, tc_HOL_Obool), tc_fun(tc_fun(_u3581, tc_HOL_Obool), tc_fun(_u3581, tc_HOL_Obool)), tc_fun(_u3581, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3581, tc_HOL_Obool))), _u3582)), _u3584))), _u3580))))) | hBOOL(hAPP(hAPP(c_member(_u3581), _u3583), _u3580)) )).
% 12.29/12.52 cnf(matrix-2123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3585, tc_HOL_Obool)), _u3586), hAPP(_u3587, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), _u3587)), _u3586))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3585, tc_HOL_Obool), _u3587)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), _u3587) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3585, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), _u3587)), _u3586))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3585, tc_HOL_Obool), _u3587)))), hAPP(_u3587, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u3585, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u3585, tc_HOL_Obool), tc_fun(tc_fun(_u3585, tc_HOL_Obool), tc_fun(_u3585, tc_HOL_Obool)), tc_fun(_u3585, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3585, tc_HOL_Obool))), _u3587)), _u3586))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u3585, tc_HOL_Obool), _u3587)))))) )).
% 12.29/12.52 cnf(matrix-2124, plain, ( ( c_Set_Othe__elem(_u3588, _u3589) = c_HOL_OThe(_u3588, hAPP(hAPP(c_COMBB(tc_fun(_u3588, tc_HOL_Obool), tc_HOL_Obool, _u3588), hAPP(c_fequal, _u3589)), hAPP(hAPP(c_COMBC(_u3588, tc_fun(_u3588, tc_HOL_Obool), tc_fun(_u3588, tc_HOL_Obool)), c_Set_Oinsert(_u3588)), c_Orderings_Obot__class_Obot(tc_fun(_u3588, tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-2125, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3590), _u3591), _u3592)) | ~c_Nitpick_Ofold__graph_H(_u3590, _u3593, _u3594, _u3595, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3590, tc_HOL_Obool)), _u3592), hAPP(hAPP(c_Set_Oinsert(_u3590), _u3591), c_Orderings_Obot__class_Obot(tc_fun(_u3590, tc_HOL_Obool)))), _u3596) | c_Nitpick_Ofold__graph_H(_u3590, _u3593, _u3594, _u3595, _u3592, hAPP(hAPP(_u3594, _u3591), _u3596)) )).
% 12.29/12.52 cnf(matrix-2126, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), skolem67(_u3601, _u3600, _u3599)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601))) )).
% 12.29/12.52 cnf(matrix-2127, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), skolem68(_u3601, _u3600, _u3599)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601))) )).
% 12.29/12.52 cnf(matrix-2128, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | ( skolem67(_u3601, _u3600, _u3599) != skolem68(_u3601, _u3600, _u3599)) )).
% 12.29/12.52 cnf(matrix-2129, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u3599, tc_HOL_Obool)), _u3600), _u3601)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), _u3600), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3599, tc_HOL_Obool), _u3601)) = c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3599, tc_HOL_Obool)), skolem67(_u3601, _u3600, _u3599)), skolem68(_u3601, _u3600, _u3599)) != c_Orderings_Obot__class_Obot(tc_fun(_u3599, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2130, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3602) | ( _u3603 != c_Inductive_Ocomplete__lattice__class_Olfp(_u3602, _u3604)) | ~c_Orderings_Oorder__class_Omono(_u3602, _u3602, _u3604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), hAPP(_u3604, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3602), _u3603), _u3605))), _u3605)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3602), _u3603), _u3605)) )).
% 12.29/12.52 cnf(matrix-2131, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3606) | ~c_Orderings_Oorder__class_Omono(_u3606, _u3606, _u3607) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3606), hAPP(_u3607, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3606), c_Inductive_Ocomplete__lattice__class_Olfp(_u3606, _u3607)), _u3608))), _u3608)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3606), c_Inductive_Ocomplete__lattice__class_Olfp(_u3606, _u3607)), _u3608)) )).
% 12.29/12.52 cnf(matrix-2132, plain, ( ~c_Fun_Oinj__on(_u3614, _u3616, _u3618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622)) | c_Fun_Oinj__on(_u3614, _u3616, _u3618, _u3620) )).
% 12.29/12.52 cnf(matrix-2133, plain, ( ~c_Fun_Oinj__on(_u3614, _u3616, _u3618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622)) | c_Fun_Oinj__on(_u3614, _u3616, _u3618, _u3622) )).
% 12.29/12.52 cnf(matrix-2134, plain, ( ~c_Fun_Oinj__on(_u3614, _u3616, _u3618, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3616, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3614, _u3616, _u3618), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3614, tc_HOL_Obool)), _u3620), _u3622))), hAPP(c_Set_Oimage(_u3614, _u3616, _u3618), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3614, tc_HOL_Obool)), _u3622), _u3620))) = c_Orderings_Obot__class_Obot(tc_fun(_u3616, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2135, plain, ( ~c_Fun_Oinj__on(_u3615, _u3617, _u3619, _u3621) | ~c_Fun_Oinj__on(_u3615, _u3617, _u3619, _u3623) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3617, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3615, _u3617, _u3619), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3615, tc_HOL_Obool)), _u3621), _u3623))), hAPP(c_Set_Oimage(_u3615, _u3617, _u3619), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3615, tc_HOL_Obool)), _u3623), _u3621))) != c_Orderings_Obot__class_Obot(tc_fun(_u3617, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3615, _u3617, _u3619, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3615, tc_HOL_Obool)), _u3621), _u3623)) )).
% 12.29/12.52 cnf(matrix-2136, plain, ( c_Fun_Oinj__on(_u3624, _u3625, _u3626, c_Orderings_Obot__class_Obot(tc_fun(_u3624, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2137, plain, ( ~class_Groups_Oordered__ab__group__add(_u3627) | c_Fun_Oinj__on(_u3627, _u3627, c_Groups_Ouminus__class_Ouminus(_u3627), _u3628) )).
% 12.29/12.52 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3629, tc_HOL_Obool)), _u3630), _u3631)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3629, tc_HOL_Obool)), _u3631), _u3632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3629, tc_HOL_Obool)), _u3630), _u3632)) )).
% 12.29/12.52 cnf(matrix-2139, plain, ( ~c_Fun_Oinj__on(_u3633, _u3634, _u3635, c_Orderings_Otop__class_Otop(tc_fun(_u3633, tc_HOL_Obool))) | c_Fun_Oinj__on(_u3633, tc_fun(_u3636, _u3634), hAPP(hAPP(c_COMBB(_u3634, tc_fun(_u3636, _u3634), _u3633), c_COMBK(_u3634, _u3636)), _u3635), c_Orderings_Otop__class_Otop(tc_fun(_u3633, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2140, plain, ( ~c_Fun_Oinj__on(_u3645, _u3647, _u3649, _u3651) | ~hBOOL(hAPP(hAPP(c_member(_u3645), _u3638), _u3651)) | ~hBOOL(hAPP(hAPP(c_member(_u3645), _u3637), _u3651)) | ( hAPP(_u3649, _u3638) != hAPP(_u3649, _u3637)) | ( _u3638 = _u3637) )).
% 12.29/12.52 cnf(matrix-2141, plain, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | hBOOL(hAPP(hAPP(c_member(_u3646), skolem69(_u3652, _u3650, _u3648, _u3646)), _u3652)) )).
% 12.29/12.52 cnf(matrix-2142, plain, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | hBOOL(hAPP(hAPP(c_member(_u3646), skolem70(_u3652, _u3650, _u3648, _u3646)), _u3652)) )).
% 12.29/12.52 cnf(matrix-2143, plain, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | ( hAPP(_u3650, skolem69(_u3652, _u3650, _u3648, _u3646)) = hAPP(_u3650, skolem70(_u3652, _u3650, _u3648, _u3646))) )).
% 12.29/12.52 cnf(matrix-2144, plain, ( c_Fun_Oinj__on(_u3646, _u3648, _u3650, _u3652) | ( skolem69(_u3652, _u3650, _u3648, _u3646) != skolem70(_u3652, _u3650, _u3648, _u3646)) )).
% 12.29/12.52 cnf(matrix-2145, plain, ( c_Fun_Oinj__on(_u3653, _u3653, c_COMBI(_u3653), _u3654) )).
% 12.29/12.52 cnf(matrix-2146, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3655) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u3655, hAPP(c_COMBK(_u3655, _u3655), _u3656)) = _u3656) )).
% 12.29/12.52 cnf(matrix-2147, plain, ( ~c_Fun_Oinj__on(_u3657, _u3658, _u3659, _u3660) | ( _u3661 = _u3662) | ~hBOOL(hAPP(hAPP(c_member(_u3657), _u3661), _u3660)) | ~hBOOL(hAPP(hAPP(c_member(_u3657), _u3662), _u3660)) | ( hAPP(_u3659, _u3661) != hAPP(_u3659, _u3662)) )).
% 12.29/12.52 cnf(matrix-2148, plain, ( ~c_Fun_Oinj__on(_u3663, _u3664, _u3665, _u3666) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3667), _u3666)) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3668), _u3666)) | ( hAPP(_u3665, _u3667) != hAPP(_u3665, _u3668)) | ( _u3667 = _u3668) )).
% 12.29/12.52 cnf(matrix-2149, plain, ( ~c_Fun_Oinj__on(_u3663, _u3664, _u3665, _u3666) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3667), _u3666)) | ~hBOOL(hAPP(hAPP(c_member(_u3663), _u3668), _u3666)) | ( _u3667 != _u3668) | ( hAPP(_u3665, _u3667) = hAPP(_u3665, _u3668)) )).
% 12.29/12.52 cnf(matrix-2150, plain, ( ~c_Fun_Oinj__on(_u3669, _u3670, _u3671, _u3672) | ( hAPP(_u3671, _u3673) != hAPP(_u3671, _u3674)) | ~hBOOL(hAPP(hAPP(c_member(_u3669), _u3673), _u3672)) | ~hBOOL(hAPP(hAPP(c_member(_u3669), _u3674), _u3672)) | ( _u3673 = _u3674) )).
% 12.29/12.52 cnf(matrix-2151, plain, ( ~c_Fun_Oinj__on(_u3675, _u3676, _u3677, _u3678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3675, tc_HOL_Obool)), _u3679), _u3678)) | c_Fun_Oinj__on(_u3675, _u3676, _u3677, _u3679) )).
% 12.29/12.52 cnf(matrix-2152, plain, ( ( hAPP(_u3682, _u3683) != hAPP(_u3682, _u3684)) | ( _u3683 = _u3684) | ~c_Fun_Oinj__on(_u3680, _u3681, _u3682, c_Orderings_Otop__class_Otop(tc_fun(_u3680, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2153, plain, ( ~c_Fun_Oinj__on(_u3685, _u3686, _u3687, c_Orderings_Otop__class_Otop(tc_fun(_u3685, tc_HOL_Obool))) | ( hAPP(_u3687, _u3688) != hAPP(_u3687, _u3689)) | ( _u3688 = _u3689) )).
% 12.29/12.52 cnf(matrix-2154, plain, ( ~c_Fun_Oinj__on(_u3685, _u3686, _u3687, c_Orderings_Otop__class_Otop(tc_fun(_u3685, tc_HOL_Obool))) | ( _u3688 != _u3689) | ( hAPP(_u3687, _u3688) = hAPP(_u3687, _u3689)) )).
% 12.29/12.52 cnf(matrix-2155, plain, ( ~c_Fun_Oinj__on(_u3690, _u3691, _u3692, _u3693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3690, tc_HOL_Obool)), _u3694), _u3693)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3691, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3690, _u3691, _u3692), _u3694)), hAPP(c_Set_Oimage(_u3690, _u3691, _u3692), _u3693))) )).
% 12.29/12.52 cnf(matrix-2156, plain, ( ~c_Fun_Oinj__on(_u3695, _u3696, _u3697, _u3698) | ~c_Fun_Oinj__on(_u3695, _u3696, _u3697, _u3699) | c_Fun_Oinj__on(_u3695, _u3696, _u3697, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3695, tc_HOL_Obool)), _u3698), _u3699)) )).
% 12.29/12.52 cnf(matrix-2157, plain, ( ~c_Fun_Oinj__on(_u3700, _u3701, _u3702, _u3703) | c_Fun_Oinj__on(_u3700, _u3701, _u3702, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3700, tc_HOL_Obool)), _u3703), _u3704)) )).
% 12.29/12.52 cnf(matrix-2158, plain, ( c_Nitpick_Ofold__graph_H(_u3705, _u3706, _u3707, _u3708, c_Orderings_Obot__class_Obot(tc_fun(_u3705, tc_HOL_Obool)), _u3708) )).
% 12.29/12.52 cnf(matrix-2159, plain, ( c_Nitpick_Ofold__graph_H(_u3709, _u3710, _u3711, _u3712, c_Orderings_Obot__class_Obot(tc_fun(_u3709, tc_HOL_Obool)), _u3712) )).
% 12.29/12.52 cnf(matrix-2160, plain, ( ~class_Orderings_Oorder(_u3713) | ~class_Orderings_Olinorder(_u3714) | ~c_Orderings_Oorder__class_Ostrict__mono(_u3714, _u3713, _u3715) | c_Fun_Oinj__on(_u3714, _u3713, _u3715, _u3716) )).
% 12.29/12.52 cnf(matrix-2161, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), hAPP(_u3718, _u3719)), _u3719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3717), c_Inductive_Ocomplete__lattice__class_Olfp(_u3717, _u3718)), _u3719)) )).
% 12.29/12.52 cnf(matrix-2162, plain, ( ~c_Fun_Oinj__on(_u3720, _u3721, _u3722, c_Orderings_Otop__class_Otop(tc_fun(_u3720, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3723) != hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3724)) | ( _u3723 = _u3724) )).
% 12.29/12.52 cnf(matrix-2163, plain, ( ~c_Fun_Oinj__on(_u3720, _u3721, _u3722, c_Orderings_Otop__class_Otop(tc_fun(_u3720, tc_HOL_Obool))) | ( _u3723 != _u3724) | ( hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3723) = hAPP(c_Set_Oimage(_u3720, _u3721, _u3722), _u3724)) )).
% 12.29/12.52 cnf(matrix-2164, plain, ( ~c_Fun_Oinj__on(_u3725, _u3726, _u3727, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3725, tc_HOL_Obool)), _u3728), _u3729)) | ( hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3728) != hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3729)) | ( _u3728 = _u3729) )).
% 12.29/12.52 cnf(matrix-2165, plain, ( ~c_Fun_Oinj__on(_u3725, _u3726, _u3727, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3725, tc_HOL_Obool)), _u3728), _u3729)) | ( _u3728 != _u3729) | ( hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3728) = hAPP(c_Set_Oimage(_u3725, _u3726, _u3727), _u3729)) )).
% 12.29/12.52 cnf(matrix-2166, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3730) | ~c_Orderings_Oorder__class_Omono(_u3730, _u3730, _u3731) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u3730, _u3731) = hAPP(_u3731, c_Inductive_Ocomplete__lattice__class_Olfp(_u3730, _u3731))) )).
% 12.29/12.52 cnf(matrix-2167, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3732) | ( _u3733 != c_Inductive_Ocomplete__lattice__class_Olfp(_u3732, _u3734)) | ~c_Orderings_Oorder__class_Omono(_u3732, _u3732, _u3734) | ( _u3733 = hAPP(_u3734, _u3733)) )).
% 12.29/12.52 cnf(matrix-2168, plain, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 = hAPP(_u3741, skolem71(_u3742, _u3741, _u3740, _u3739))) )).
% 12.29/12.52 cnf(matrix-2169, plain, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 != hAPP(_u3741, _u3735)) | ( _u3735 = skolem71(_u3742, _u3741, _u3740, _u3739)) )).
% 12.29/12.52 cnf(matrix-2170, plain, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 != hAPP(_u3741, _u3738)) | ( _u3742 = hAPP(_u3741, skolem72(_u3742, _u3741, _u3740, _u3739, _u3738))) )).
% 12.29/12.52 cnf(matrix-2171, plain, ( ~c_Fun_Oinj__on(_u3739, _u3740, _u3741, c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3740), _u3742), hAPP(c_Set_Oimage(_u3739, _u3740, _u3741), c_Orderings_Otop__class_Otop(tc_fun(_u3739, tc_HOL_Obool))))) | ( _u3742 != hAPP(_u3741, _u3738)) | ( skolem72(_u3742, _u3741, _u3740, _u3739, _u3738) != _u3738) )).
% 12.29/12.52 cnf(matrix-2172, plain, ( ~c_Fun_Oinj__on(_u3743, _u3744, _u3745, c_Orderings_Otop__class_Otop(tc_fun(_u3743, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3744), hAPP(_u3745, _u3746)), hAPP(c_Set_Oimage(_u3743, _u3744, _u3745), _u3747))) | hBOOL(hAPP(hAPP(c_member(_u3743), _u3746), _u3747)) )).
% 12.29/12.52 cnf(matrix-2173, plain, ( ~c_Fun_Oinj__on(_u3743, _u3744, _u3745, c_Orderings_Otop__class_Otop(tc_fun(_u3743, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3743), _u3746), _u3747)) | hBOOL(hAPP(hAPP(c_member(_u3744), hAPP(_u3745, _u3746)), hAPP(c_Set_Oimage(_u3743, _u3744, _u3745), _u3747))) )).
% 12.29/12.52 cnf(matrix-2174, plain, ( ~c_Fun_Oinj__on(_u3748, _u3749, _u3750, c_Orderings_Otop__class_Otop(tc_fun(_u3748, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3749, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3751)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3752))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3748, tc_HOL_Obool)), _u3751), _u3752)) )).
% 12.29/12.52 cnf(matrix-2175, plain, ( ~c_Fun_Oinj__on(_u3748, _u3749, _u3750, c_Orderings_Otop__class_Otop(tc_fun(_u3748, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3748, tc_HOL_Obool)), _u3751), _u3752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3749, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3751)), hAPP(c_Set_Oimage(_u3748, _u3749, _u3750), _u3752))) )).
% 12.29/12.52 cnf(matrix-2176, plain, ( ~c_Fun_Oinj__on(_u3753, _u3754, _u3755, _u3756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3753, tc_HOL_Obool)), _u3757), _u3756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3753, tc_HOL_Obool)), _u3758), _u3756)) | ( hAPP(c_Set_Oimage(_u3753, _u3754, _u3755), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3753, tc_HOL_Obool)), _u3757), _u3758)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3754, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3753, _u3754, _u3755), _u3757)), hAPP(c_Set_Oimage(_u3753, _u3754, _u3755), _u3758))) )).
% 12.29/12.52 cnf(matrix-2177, plain, ( ~c_Fun_Oinj__on(_u3759, _u3760, _u3761, c_Orderings_Otop__class_Otop(tc_fun(_u3759, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3759, _u3760, _u3761), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3759, tc_HOL_Obool)), _u3762), _u3763)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3760, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3759, _u3760, _u3761), _u3762)), hAPP(c_Set_Oimage(_u3759, _u3760, _u3761), _u3763))) )).
% 12.29/12.52 cnf(matrix-2178, plain, ( ~c_Fun_Oinj__on(_u3764, _u3765, _u3766, _u3767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3764, tc_HOL_Obool)), _u3768), _u3767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3764, tc_HOL_Obool)), _u3769), _u3767)) | ( hAPP(c_Set_Oimage(_u3764, _u3765, _u3766), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3764, tc_HOL_Obool)), _u3768), _u3769)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3765, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3764, _u3765, _u3766), _u3768)), hAPP(c_Set_Oimage(_u3764, _u3765, _u3766), _u3769))) )).
% 12.29/12.52 cnf(matrix-2179, plain, ( ~c_Fun_Oinj__on(_u3770, _u3771, _u3772, c_Orderings_Otop__class_Otop(tc_fun(_u3770, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3770, _u3771, _u3772), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3770, tc_HOL_Obool)), _u3773), _u3774)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3771, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3770, _u3771, _u3772), _u3773)), hAPP(c_Set_Oimage(_u3770, _u3771, _u3772), _u3774))) )).
% 12.29/12.52 cnf(matrix-2180, plain, ( ~c_Fun_Oinj__on(_u3775, _u3776, _u3777, _u3778) | hBOOL(hAPP(hAPP(c_member(_u3776), _u3779), hAPP(c_Set_Oimage(_u3775, _u3776, _u3777), _u3778))) | c_Fun_Oinj__on(_u3775, _u3776, c_Fun_Ofun__upd(_u3775, _u3776, _u3777, _u3780, _u3779), _u3778) )).
% 12.29/12.52 cnf(matrix-2181, plain, ( c_Fun_Oinj__on(_u3781, tc_fun(_u3781, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u3781, tc_fun(_u3781, tc_HOL_Obool), tc_fun(_u3781, tc_HOL_Obool)), c_Set_Oinsert(_u3781)), c_Orderings_Obot__class_Obot(tc_fun(_u3781, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u3781, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2182, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3782) | ~c_Orderings_Oorder__class_Omono(_u3782, _u3782, _u3783) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3782), c_Inductive_Ocomplete__lattice__class_Olfp(_u3782, _u3783)), hAPP(_u3783, c_Inductive_Ocomplete__lattice__class_Olfp(_u3782, _u3783)))) )).
% 12.29/12.52 cnf(matrix-2183, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u3784) | ~c_Orderings_Oorder__class_Omono(_u3784, _u3784, _u3785) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3784), hAPP(_u3785, c_Inductive_Ocomplete__lattice__class_Olfp(_u3784, _u3785))), c_Inductive_Ocomplete__lattice__class_Olfp(_u3784, _u3785))) )).
% 12.29/12.52 cnf(matrix-2184, plain, ( ~c_Fun_Oinj__on(_u3786, _u3787, _u3788, c_Orderings_Otop__class_Otop(tc_fun(_u3786, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3787, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3786, _u3787, _u3788), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3786, tc_HOL_Obool)), _u3789))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3787, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3786, _u3787, _u3788), _u3789)))) )).
% 12.29/12.52 cnf(matrix-2185, plain, ( ~c_Fun_Oinj__on(_u3795, _u3797, _u3799, hAPP(hAPP(c_Set_Oinsert(_u3795), _u3801), _u3803)) | c_Fun_Oinj__on(_u3795, _u3797, _u3799, _u3803) )).
% 12.29/12.52 cnf(matrix-2186, plain, ( ~c_Fun_Oinj__on(_u3795, _u3797, _u3799, hAPP(hAPP(c_Set_Oinsert(_u3795), _u3801), _u3803)) | ~hBOOL(hAPP(hAPP(c_member(_u3797), hAPP(_u3799, _u3801)), hAPP(c_Set_Oimage(_u3795, _u3797, _u3799), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3795, tc_HOL_Obool)), _u3803), hAPP(hAPP(c_Set_Oinsert(_u3795), _u3801), c_Orderings_Obot__class_Obot(tc_fun(_u3795, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2187, plain, ( ~c_Fun_Oinj__on(_u3796, _u3798, _u3800, _u3804) | hBOOL(hAPP(hAPP(c_member(_u3798), hAPP(_u3800, _u3802)), hAPP(c_Set_Oimage(_u3796, _u3798, _u3800), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3796, tc_HOL_Obool)), _u3804), hAPP(hAPP(c_Set_Oinsert(_u3796), _u3802), c_Orderings_Obot__class_Obot(tc_fun(_u3796, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u3796, _u3798, _u3800, hAPP(hAPP(c_Set_Oinsert(_u3796), _u3802), _u3804)) )).
% 12.29/12.52 cnf(matrix-2188, plain, ( ( _u3809 = c_Orderings_Obot__class_Obot(tc_fun(_u3810, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u3810, _u3811, _u3805, _u3809) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3811, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3810, _u3811, _u3805), _u3809)), _u3812)) | ( hAPP(c_Set_Oimage(_u3811, _u3810, skolem73(_u3812, _u3811, _u3810, _u3809)), _u3812) = _u3809) )).
% 12.29/12.52 cnf(matrix-2189, plain, ( ( _u3809 = c_Orderings_Obot__class_Obot(tc_fun(_u3810, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3811, _u3810, _u3807), _u3812) != _u3809) | c_Fun_Oinj__on(_u3810, _u3811, skolem74(_u3812, _u3811, _u3810, _u3809), _u3809) )).
% 12.29/12.52 cnf(matrix-2190, plain, ( ( _u3809 = c_Orderings_Obot__class_Obot(tc_fun(_u3810, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3811, _u3810, _u3807), _u3812) != _u3809) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3811, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3810, _u3811, skolem74(_u3812, _u3811, _u3810, _u3809)), _u3809)), _u3812)) )).
% 12.29/12.52 cnf(matrix-2191, plain, ( ( c_Enum_Oenum__the(_u3813, _u3814) = c_HOL_OThe(_u3813, _u3814)) )).
% 12.29/12.52 cnf(matrix-2192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3818, tc_HOL_Obool)), _u3820), hAPP(hAPP(c_Set_Oinsert(_u3818), _u3822), c_Orderings_Obot__class_Obot(tc_fun(_u3818, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u3818, _u3822, _u3820) = _u3822) )).
% 12.29/12.52 cnf(matrix-2193, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3819, tc_HOL_Obool)), _u3821), hAPP(hAPP(c_Set_Oinsert(_u3819), _u3823), c_Orderings_Obot__class_Obot(tc_fun(_u3819, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u3819, _u3823, _u3821) = c_HOL_OThe(_u3819, hAPP(hAPP(c_COMBC(_u3819, tc_fun(_u3819, tc_HOL_Obool), tc_HOL_Obool), c_member(_u3819)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3819, tc_HOL_Obool)), _u3821), hAPP(hAPP(c_Set_Oinsert(_u3819), _u3823), c_Orderings_Obot__class_Obot(tc_fun(_u3819, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2194, plain, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( _u3843 = c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), _u3843)) )).
% 12.29/12.52 cnf(matrix-2195, plain, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( _u3843 = c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool))) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = hAPP(hAPP(_u3839, skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835))) )).
% 12.29/12.52 cnf(matrix-2196, plain, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( _u3843 = c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3835, tc_HOL_Obool)), _u3843), hAPP(hAPP(c_Set_Oinsert(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool)))), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)) )).
% 12.29/12.52 cnf(matrix-2197, plain, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = _u3841) | hBOOL(hAPP(hAPP(c_member(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), _u3843)) )).
% 12.29/12.52 cnf(matrix-2198, plain, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = _u3841) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = hAPP(hAPP(_u3839, skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835))) )).
% 12.29/12.52 cnf(matrix-2199, plain, ( ~c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, _u3843, hAPP(hAPP(_u3839, _u3845), _u3847)) | ( hAPP(hAPP(_u3839, _u3845), _u3847) = _u3841) | c_Nitpick_Ofold__graph_H(_u3835, _u3837, _u3839, _u3841, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3835, tc_HOL_Obool)), _u3843), hAPP(hAPP(c_Set_Oinsert(_u3835), skolem75(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)), c_Orderings_Obot__class_Obot(tc_fun(_u3835, tc_HOL_Obool)))), skolem76(_u3847, _u3845, _u3843, _u3841, _u3839, _u3837, _u3835)) )).
% 12.29/12.52 cnf(matrix-2200, plain, ( c_Nitpick_Ofold__graph_H(_u3836, _u3838, _u3840, _u3842, _u3844, hAPP(hAPP(_u3840, _u3846), _u3848)) | ( _u3844 != c_Orderings_Obot__class_Obot(tc_fun(_u3836, tc_HOL_Obool))) | ( hAPP(hAPP(_u3840, _u3846), _u3848) != _u3842) )).
% 12.29/12.52 cnf(matrix-2201, plain, ( c_Nitpick_Ofold__graph_H(_u3836, _u3838, _u3840, _u3842, _u3844, hAPP(hAPP(_u3840, _u3846), _u3848)) | ~hBOOL(hAPP(hAPP(c_member(_u3836), _u3827), _u3844)) | ( hAPP(hAPP(_u3840, _u3846), _u3848) != hAPP(hAPP(_u3840, _u3827), _u3826)) | ~c_Nitpick_Ofold__graph_H(_u3836, _u3838, _u3840, _u3842, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3836, tc_HOL_Obool)), _u3844), hAPP(hAPP(c_Set_Oinsert(_u3836), _u3827), c_Orderings_Obot__class_Obot(tc_fun(_u3836, tc_HOL_Obool)))), _u3826) )).
% 12.29/12.52 cnf(matrix-2202, plain, ( ~c_Fun_Oinj__on(_u3850, _u3851, _u3852, _u3853) | ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3857), _u3855)) | ( hAPP(c_Set_Oimage(_u3850, _u3851, _u3852), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3850, tc_HOL_Obool)), _u3855), _u3856)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3851, tc_HOL_Obool)), _u3855), hAPP(hAPP(c_COMBB(tc_fun(_u3850, tc_HOL_Obool), tc_fun(_u3851, tc_HOL_Obool), _u3854), c_Set_Oimage(_u3850, _u3851, _u3852)), _u3856))) | hBOOL(hAPP(hAPP(c_member(_u3854), skolem77(_u3857, _u3856, _u3855, _u3854, _u3853, _u3852, _u3851, _u3850)), _u3855)) )).
% 12.29/12.52 cnf(matrix-2203, plain, ( ~c_Fun_Oinj__on(_u3850, _u3851, _u3852, _u3853) | ~hBOOL(hAPP(hAPP(c_member(_u3854), _u3857), _u3855)) | ( hAPP(c_Set_Oimage(_u3850, _u3851, _u3852), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3850, tc_HOL_Obool)), _u3855), _u3856)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3854, tc_fun(_u3851, tc_HOL_Obool)), _u3855), hAPP(hAPP(c_COMBB(tc_fun(_u3850, tc_HOL_Obool), tc_fun(_u3851, tc_HOL_Obool), _u3854), c_Set_Oimage(_u3850, _u3851, _u3852)), _u3856))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3850, tc_HOL_Obool)), hAPP(_u3856, skolem77(_u3857, _u3856, _u3855, _u3854, _u3853, _u3852, _u3851, _u3850))), _u3853)) )).
% 12.29/12.52 cnf(matrix-2204, plain, ( ~c_Fun_Oinj__on(_u3858, _u3859, _u3860, _u3861) | ~hBOOL(hAPP(hAPP(c_member(_u3859), _u3862), hAPP(c_Set_Oimage(_u3858, _u3859, _u3860), _u3861))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3858, tc_HOL_Obool)), _u3861), _u3863)) | hBOOL(hAPP(hAPP(c_member(_u3858), hAPP(c_Fun_Othe__inv__into(_u3858, _u3859, _u3861, _u3860), _u3862)), _u3863)) )).
% 12.29/12.52 cnf(matrix-2205, plain, ( ~c_Fun_Oinj__on(_u3864, _u3865, _u3866, c_Orderings_Otop__class_Otop(tc_fun(_u3864, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3864, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3864, _u3865, _u3866), hAPP(hAPP(c_Set_Oinsert(_u3865), _u3867), c_Orderings_Obot__class_Obot(tc_fun(_u3865, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u3864), c_HOL_OThe(_u3864, hAPP(hAPP(c_COMBC(_u3864, _u3865, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u3865, tc_fun(_u3865, tc_HOL_Obool), _u3864), c_fequal), _u3866)), _u3867))), c_Orderings_Obot__class_Obot(tc_fun(_u3864, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-2206, plain, ( ( _u3869 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3870, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u3870, _u3871, _u3872, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3870, tc_HOL_Obool), _u3869)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u3870, tc_HOL_Obool)), skolem78(_u3872, _u3871, _u3870, _u3869)), _u3869)) )).
% 12.29/12.52 cnf(matrix-2207, plain, ( ( _u3869 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u3870, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u3870, _u3871, _u3872, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u3870, tc_HOL_Obool), _u3869)) | ~c_Fun_Oinj__on(_u3870, _u3871, _u3872, skolem78(_u3872, _u3871, _u3870, _u3869)) )).
% 12.29/12.52 cnf(matrix-2208, plain, ( ( hAPP(_u3873, _u3874) != _u3875) | ~hBOOL(hAPP(hAPP(c_member(_u3876), _u3875), _u3877)) | hBOOL(hAPP(hAPP(c_member(_u3878), _u3874), hAPP(c_Set_Ovimage(_u3878, _u3876, _u3873), _u3877))) )).
% 12.29/12.52 cnf(matrix-2209, plain, ( ( hAPP(c_Set_Ovimage(_u3879, _u3879, c_COMBI(_u3879)), _u3880) = _u3880) )).
% 12.29/12.52 cnf(matrix-2210, plain, ( hBOOL(hAPP(_u3892, hAPP(_u3890, _u3894))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u3886, _u3888, _u3890), _u3892), _u3894)) )).
% 12.29/12.52 cnf(matrix-2211, plain, ( ~hBOOL(hAPP(_u3893, hAPP(_u3891, _u3895))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u3887, _u3889, _u3891), _u3893), _u3895)) )).
% 12.29/12.52 cnf(matrix-2212, plain, ( hBOOL(hAPP(hAPP(c_member(_u3905), hAPP(_u3907, _u3903)), _u3909)) | ~hBOOL(hAPP(hAPP(c_member(_u3901), _u3903), hAPP(c_Set_Ovimage(_u3901, _u3905, _u3907), _u3909))) )).
% 12.29/12.52 cnf(matrix-2213, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3906), hAPP(_u3908, _u3904)), _u3910)) | hBOOL(hAPP(hAPP(c_member(_u3902), _u3904), hAPP(c_Set_Ovimage(_u3902, _u3906, _u3908), _u3910))) )).
% 12.29/12.52 cnf(matrix-2214, plain, ( hBOOL(hAPP(hAPP(c_member(_u3913), hAPP(_u3914, _u3912)), _u3915)) | ~hBOOL(hAPP(hAPP(c_member(_u3911), _u3912), hAPP(c_Set_Ovimage(_u3911, _u3913, _u3914), _u3915))) )).
% 12.29/12.52 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3916), hAPP(_u3917, _u3918)), _u3919)) | hBOOL(hAPP(hAPP(c_member(_u3920), _u3918), hAPP(c_Set_Ovimage(_u3920, _u3916, _u3917), _u3919))) )).
% 12.29/12.52 cnf(matrix-2216, plain, ( ( hAPP(c_Set_Ovimage(_u3921, _u3922, _u3923), c_Orderings_Obot__class_Obot(tc_fun(_u3922, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u3921, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3924, tc_HOL_Obool)), _u3925), _u3926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3927, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3927, _u3924, _u3928), _u3925)), hAPP(c_Set_Ovimage(_u3927, _u3924, _u3928), _u3926))) )).
% 12.29/12.52 cnf(matrix-2218, plain, ( ( hAPP(c_Set_Ovimage(_u3929, _u3930, _u3931), c_Orderings_Otop__class_Otop(tc_fun(_u3930, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u3929, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2219, plain, ( ( hAPP(c_Set_Ovimage(_u3932, _u3933, _u3934), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3933, tc_HOL_Obool)), _u3935), _u3936)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3932, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3932, _u3933, _u3934), _u3935)), hAPP(c_Set_Ovimage(_u3932, _u3933, _u3934), _u3936))) )).
% 12.29/12.52 cnf(matrix-2220, plain, ( ( hAPP(c_Set_Ovimage(_u3937, _u3938, _u3939), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3938, tc_HOL_Obool)), _u3940), _u3941)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3937, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3937, _u3938, _u3939), _u3940)), hAPP(c_Set_Ovimage(_u3937, _u3938, _u3939), _u3941))) )).
% 12.29/12.52 cnf(matrix-2221, plain, ( ( hAPP(c_Set_Ovimage(_u3942, _u3943, _u3944), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3943, tc_HOL_Obool)), _u3945), _u3946)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3942, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3942, _u3943, _u3944), _u3945)), hAPP(c_Set_Ovimage(_u3942, _u3943, _u3944), _u3946))) )).
% 12.29/12.52 cnf(matrix-2222, plain, ( ( hAPP(c_Set_Ovimage(_u3947, _u3948, _u3949), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3948, tc_HOL_Obool)), _u3950)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u3947, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3947, _u3948, _u3949), _u3950))) )).
% 12.29/12.52 cnf(matrix-2223, plain, ( ( hAPP(c_Set_Ovimage(_u3951, _u3952, _u3953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3954, tc_fun(_u3952, tc_HOL_Obool)), _u3955), _u3956)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u3954, tc_fun(_u3951, tc_HOL_Obool)), _u3955), hAPP(hAPP(c_COMBB(tc_fun(_u3952, tc_HOL_Obool), tc_fun(_u3951, tc_HOL_Obool), _u3954), c_Set_Ovimage(_u3951, _u3952, _u3953)), _u3956))) )).
% 12.29/12.52 cnf(matrix-2224, plain, ( ( hAPP(c_Set_Ovimage(_u3957, _u3958, _u3959), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3960, tc_fun(_u3958, tc_HOL_Obool)), _u3961), _u3962)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u3960, tc_fun(_u3957, tc_HOL_Obool)), _u3961), hAPP(hAPP(c_COMBB(tc_fun(_u3958, tc_HOL_Obool), tc_fun(_u3957, tc_HOL_Obool), _u3960), c_Set_Ovimage(_u3957, _u3958, _u3959)), _u3962))) )).
% 12.29/12.52 cnf(matrix-2225, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3963, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3964, _u3963, _u3965), hAPP(c_Set_Ovimage(_u3964, _u3963, _u3965), _u3966))), _u3966)) )).
% 12.29/12.52 cnf(matrix-2226, plain, ( ( hAPP(c_Set_Oimage(_u3967, _u3968, _u3969), c_Orderings_Otop__class_Otop(tc_fun(_u3967, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3968, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u3967, _u3968, _u3969), hAPP(c_Set_Ovimage(_u3967, _u3968, _u3969), _u3970)) = _u3970) )).
% 12.29/12.52 cnf(matrix-2227, plain, ( ( hAPP(c_Set_Ovimage(_u3971, _u3972, _u3973), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u3972, tc_HOL_Obool), _u3974)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u3972, tc_HOL_Obool), tc_fun(_u3971, tc_HOL_Obool)), _u3974), c_Set_Ovimage(_u3971, _u3972, _u3973))) )).
% 12.29/12.52 cnf(matrix-2228, plain, ( ( hAPP(_u3986, _u3982) = _u3988) | ~hBOOL(hAPP(hAPP(c_member(_u3980), _u3982), hAPP(c_Set_Ovimage(_u3980, _u3984, _u3986), hAPP(hAPP(c_Set_Oinsert(_u3984), _u3988), c_Orderings_Obot__class_Obot(tc_fun(_u3984, tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-2229, plain, ( ( hAPP(_u3987, _u3983) != _u3989) | hBOOL(hAPP(hAPP(c_member(_u3981), _u3983), hAPP(c_Set_Ovimage(_u3981, _u3985, _u3987), hAPP(hAPP(c_Set_Oinsert(_u3985), _u3989), c_Orderings_Obot__class_Obot(tc_fun(_u3985, tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-2230, plain, ( ( hAPP(c_Set_Ovimage(_u3990, _u3991, _u3992), hAPP(hAPP(c_Set_Oinsert(_u3991), _u3993), _u3994)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3990, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3990, _u3991, _u3992), hAPP(hAPP(c_Set_Oinsert(_u3991), _u3993), c_Orderings_Obot__class_Obot(tc_fun(_u3991, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u3990, _u3991, _u3992), _u3994))) )).
% 12.29/12.52 cnf(matrix-2231, plain, ( ( hAPP(c_Set_Oimage(_u3995, _u3996, _u3997), c_Orderings_Otop__class_Otop(tc_fun(_u3995, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u3996, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3995, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u3995, _u3996, _u3997), _u3998)), _u3999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3996, tc_HOL_Obool)), _u3998), hAPP(c_Set_Oimage(_u3995, _u3996, _u3997), _u3999))) )).
% 12.29/12.52 cnf(matrix-2232, plain, ( ( hAPP(c_Set_Oimage(_u4000, _u4001, _u4002), hAPP(c_Set_Ovimage(_u4000, _u4001, _u4002), _u4003)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4001, tc_HOL_Obool)), _u4003), hAPP(c_Set_Oimage(_u4000, _u4001, _u4002), c_Orderings_Otop__class_Otop(tc_fun(_u4000, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-2233, plain, ( ~c_Fun_Oinj__on(_u4004, _u4005, _u4006, c_Orderings_Otop__class_Otop(tc_fun(_u4004, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u4004, _u4005, _u4006), hAPP(c_Set_Oimage(_u4004, _u4005, _u4006), _u4007)) = _u4007) )).
% 12.29/12.52 cnf(matrix-2234, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4012), _u4014), _u4016)) | ( hAPP(c_Set_Ovimage(_u4018, _u4012, hAPP(c_COMBK(_u4012, _u4018), _u4014)), _u4016) = c_Orderings_Otop__class_Otop(tc_fun(_u4018, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2235, plain, ( hBOOL(hAPP(hAPP(c_member(_u4013), _u4015), _u4017)) | ( hAPP(c_Set_Ovimage(_u4019, _u4013, hAPP(c_COMBK(_u4013, _u4019), _u4015)), _u4017) = c_Orderings_Obot__class_Obot(tc_fun(_u4019, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2236, plain, ( ( hAPP(c_Set_Ovimage(_u4020, _u4021, _u4022), _u4023) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4021, tc_fun(_u4020, tc_HOL_Obool)), _u4023), hAPP(hAPP(c_COMBB(tc_fun(_u4021, tc_HOL_Obool), tc_fun(_u4020, tc_HOL_Obool), _u4021), c_Set_Ovimage(_u4020, _u4021, _u4022)), hAPP(hAPP(c_COMBC(_u4021, tc_fun(_u4021, tc_HOL_Obool), tc_fun(_u4021, tc_HOL_Obool)), c_Set_Oinsert(_u4021)), c_Orderings_Obot__class_Obot(tc_fun(_u4021, tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-2237, plain, ( ~c_Fun_Oinj__on(_u4024, _u4025, _u4026, _u4027) | ~hBOOL(hAPP(hAPP(c_member(_u4024), _u4028), _u4027)) | ( hAPP(c_Fun_Othe__inv__into(_u4024, _u4025, _u4027, _u4026), hAPP(_u4026, _u4028)) = _u4028) )).
% 12.29/12.52 cnf(matrix-2238, plain, ( ~c_Fun_Oinj__on(_u4029, _u4030, _u4031, _u4032) | ( hAPP(_u4031, _u4033) != _u4034) | ~hBOOL(hAPP(hAPP(c_member(_u4029), _u4033), _u4032)) | ( hAPP(c_Fun_Othe__inv__into(_u4029, _u4030, _u4032, _u4031), _u4034) = _u4033) )).
% 12.29/12.52 cnf(matrix-2239, plain, ( ~c_Fun_Oinj__on(_u4035, _u4036, _u4037, c_Orderings_Otop__class_Otop(tc_fun(_u4035, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u4035, _u4036, c_Orderings_Otop__class_Otop(tc_fun(_u4035, tc_HOL_Obool)), _u4037), hAPP(_u4037, _u4038)) = _u4038) )).
% 12.29/12.52 cnf(matrix-2240, plain, ( ~c_Fun_Oinj__on(_u4039, _u4040, _u4041, _u4042) | ( hAPP(c_Set_Oimage(_u4040, _u4039, c_Fun_Othe__inv__into(_u4039, _u4040, _u4042, _u4041)), hAPP(c_Set_Oimage(_u4039, _u4040, _u4041), _u4042)) = _u4042) )).
% 12.29/12.52 cnf(matrix-2241, plain, ( ~c_Fun_Oinj__on(_u4043, _u4044, _u4045, _u4046) | c_Fun_Oinj__on(_u4044, _u4043, c_Fun_Othe__inv__into(_u4043, _u4044, _u4046, _u4045), hAPP(c_Set_Oimage(_u4043, _u4044, _u4045), _u4046)) )).
% 12.29/12.52 cnf(matrix-2242, plain, ( ~c_Fun_Oinj__on(_u4047, _u4048, _u4049, c_Orderings_Otop__class_Otop(tc_fun(_u4047, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4048, tc_HOL_Obool)), _u4050), hAPP(c_Set_Oimage(_u4047, _u4048, _u4049), _u4051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4047, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4047, _u4048, _u4049), _u4050)), _u4051)) )).
% 12.29/12.52 cnf(matrix-2243, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u4052, _u4053, _u4054, _u4055), _u4056) = c_HOL_OThe(_u4052, hAPP(hAPP(c_COMBS(_u4052, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u4052), c_fconj), hAPP(hAPP(c_COMBC(_u4052, tc_fun(_u4052, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4052)), _u4054))), hAPP(hAPP(c_COMBC(_u4052, _u4053, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4053, tc_fun(_u4053, tc_HOL_Obool), _u4052), c_fequal), _u4055)), _u4056)))) )).
% 12.29/12.52 cnf(matrix-2244, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4063), _u4065), _u4067)) | ~hBOOL(hAPP(hAPP(c_member(_u4063), _u4069), _u4067)) | ( hAPP(c_Set_Ovimage(_u4071, _u4063, hAPP(hAPP(c_COMBC(_u4071, _u4063, _u4063), hAPP(hAPP(c_COMBC(_u4071, _u4063, tc_fun(_u4063, _u4063)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4063, tc_fun(_u4063, _u4063)), _u4071), c_If(_u4063)), hAPP(hAPP(c_COMBC(_u4071, tc_fun(_u4071, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4071)), _u4073))), _u4065)), _u4069)), _u4067) = c_Orderings_Otop__class_Otop(tc_fun(_u4071, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2245, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4063), _u4065), _u4067)) | hBOOL(hAPP(hAPP(c_member(_u4063), _u4069), _u4067)) | ( hAPP(c_Set_Ovimage(_u4071, _u4063, hAPP(hAPP(c_COMBC(_u4071, _u4063, _u4063), hAPP(hAPP(c_COMBC(_u4071, _u4063, tc_fun(_u4063, _u4063)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4063, tc_fun(_u4063, _u4063)), _u4071), c_If(_u4063)), hAPP(hAPP(c_COMBC(_u4071, tc_fun(_u4071, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4071)), _u4073))), _u4065)), _u4069)), _u4067) = _u4073) )).
% 12.29/12.52 cnf(matrix-2246, plain, ( hBOOL(hAPP(hAPP(c_member(_u4064), _u4066), _u4068)) | ~hBOOL(hAPP(hAPP(c_member(_u4064), _u4070), _u4068)) | ( hAPP(c_Set_Ovimage(_u4072, _u4064, hAPP(hAPP(c_COMBC(_u4072, _u4064, _u4064), hAPP(hAPP(c_COMBC(_u4072, _u4064, tc_fun(_u4064, _u4064)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4064, tc_fun(_u4064, _u4064)), _u4072), c_If(_u4064)), hAPP(hAPP(c_COMBC(_u4072, tc_fun(_u4072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4072)), _u4074))), _u4066)), _u4070)), _u4068) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4072, tc_HOL_Obool)), _u4074)) )).
% 12.29/12.52 cnf(matrix-2247, plain, ( hBOOL(hAPP(hAPP(c_member(_u4064), _u4066), _u4068)) | hBOOL(hAPP(hAPP(c_member(_u4064), _u4070), _u4068)) | ( hAPP(c_Set_Ovimage(_u4072, _u4064, hAPP(hAPP(c_COMBC(_u4072, _u4064, _u4064), hAPP(hAPP(c_COMBC(_u4072, _u4064, tc_fun(_u4064, _u4064)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u4064, tc_fun(_u4064, _u4064)), _u4072), c_If(_u4064)), hAPP(hAPP(c_COMBC(_u4072, tc_fun(_u4072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u4072)), _u4074))), _u4066)), _u4070)), _u4068) = c_Orderings_Obot__class_Obot(tc_fun(_u4072, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2248, plain, ( ~c_Fun_Oinj__on(_u4075, _u4076, _u4077, _u4078) | ~hBOOL(hAPP(hAPP(c_member(_u4076), _u4079), hAPP(c_Set_Oimage(_u4075, _u4076, _u4077), _u4078))) | ( hAPP(_u4077, hAPP(c_Fun_Othe__inv__into(_u4075, _u4076, _u4078, _u4077), _u4079)) = _u4079) )).
% 12.29/12.52 cnf(matrix-2249, plain, ( ~class_Orderings_Oorder(_u4080) | ~class_Enum_Oenum(_u4081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4081, _u4080)), _u4082), _u4083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4081, _u4080)), _u4082), _u4083)) )).
% 12.29/12.52 cnf(matrix-2250, plain, ( ~class_Orderings_Oorder(_u4080) | ~class_Enum_Oenum(_u4081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4081, _u4080)), _u4082), _u4083)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4081), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4081), c_fNot), hAPP(hAPP(c_COMBS(_u4081, _u4080, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4080, tc_fun(_u4080, tc_HOL_Obool), _u4081), c_fequal), _u4082)), _u4083)))) )).
% 12.29/12.52 cnf(matrix-2251, plain, ( ~class_Orderings_Oorder(_u4080) | ~class_Enum_Oenum(_u4081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4081, _u4080)), _u4082), _u4083)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4081), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u4081), c_fNot), hAPP(hAPP(c_COMBS(_u4081, _u4080, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u4080, tc_fun(_u4080, tc_HOL_Obool), _u4081), c_fequal), _u4082)), _u4083)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4081, _u4080)), _u4082), _u4083)) )).
% 12.29/12.52 cnf(matrix-2252, plain, ( ( _u4085 = c_Orderings_Obot__class_Obot(tc_fun(_u4086, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4087, _u4088, _u4089, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4086, tc_fun(_u4087, tc_HOL_Obool)), _u4085), _u4090)) | hBOOL(hAPP(hAPP(c_member(_u4086), skolem79(_u4090, _u4089, _u4088, _u4087, _u4086, _u4085)), _u4085)) )).
% 12.29/12.52 cnf(matrix-2253, plain, ( ( _u4085 = c_Orderings_Obot__class_Obot(tc_fun(_u4086, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4087, _u4088, _u4089, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4086, tc_fun(_u4087, tc_HOL_Obool)), _u4085), _u4090)) | ~c_Fun_Oinj__on(_u4087, _u4088, _u4089, hAPP(_u4090, skolem79(_u4090, _u4089, _u4088, _u4087, _u4086, _u4085))) )).
% 12.29/12.52 cnf(matrix-2254, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u4091, tc_fun(_u4091, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u4091, tc_HOL_Obool), tc_fun(tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool)), _u4091), hAPP(c_COMBC(tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u4091, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u4091, tc_fun(_u4091, tc_HOL_Obool), tc_fun(_u4091, tc_HOL_Obool)), c_Set_Oinsert(_u4091)), c_Orderings_Obot__class_Obot(tc_fun(_u4091, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-2255, plain, ( ( c_HOL_OThe(_u4092, hAPP(hAPP(c_COMBC(_u4092, _u4092, tc_HOL_Obool), c_fequal), _u4093)) = _u4093) )).
% 12.29/12.52 cnf(matrix-2256, plain, ( ( c_HOL_OThe(_u4094, hAPP(c_fequal, _u4095)) = _u4095) )).
% 12.29/12.52 cnf(matrix-2257, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4096, _u4097, _u4098, _u4099, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4096, tc_HOL_Obool)), _u4100), hAPP(hAPP(c_Set_Oinsert(_u4096), _u4101), c_Orderings_Obot__class_Obot(tc_fun(_u4096, tc_HOL_Obool))))), _u4102)) | ~hBOOL(hAPP(hAPP(c_member(_u4096), _u4101), _u4100)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4096, _u4097, _u4098, _u4099, _u4100), hAPP(hAPP(_u4098, _u4101), _u4102))) )).
% 12.29/12.52 cnf(matrix-2258, plain, ( ( _u4105 = hAPP(_u4107, skolem80(_u4107, _u4106, _u4105))) | ~hBOOL(hAPP(hAPP(c_member(_u4104), _u4105), hAPP(c_Set_Oimage(_u4106, _u4104, _u4107), c_Orderings_Otop__class_Otop(tc_fun(_u4106, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-2259, plain, ( ~c_Partial__Function_Omk__less(_u4112, _u4114, _u4116, _u4118) | hBOOL(hAPP(hAPP(_u4114, _u4116), _u4118)) )).
% 12.29/12.52 cnf(matrix-2260, plain, ( ~c_Partial__Function_Omk__less(_u4112, _u4114, _u4116, _u4118) | ~hBOOL(hAPP(hAPP(_u4114, _u4118), _u4116)) )).
% 12.29/12.52 cnf(matrix-2261, plain, ( ~hBOOL(hAPP(hAPP(_u4115, _u4117), _u4119)) | hBOOL(hAPP(hAPP(_u4115, _u4119), _u4117)) | c_Partial__Function_Omk__less(_u4113, _u4115, _u4117, _u4119) )).
% 12.29/12.52 cnf(matrix-2262, plain, ( ~class_Enum_Oenum(_u4122) | ~hBOOL(hAPP(_u4123, _u4120)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4122), _u4123)) )).
% 12.29/12.52 cnf(matrix-2263, plain, ( ~class_Enum_Oenum(_u4122) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4122), _u4123)) | hBOOL(hAPP(_u4123, skolem81(_u4123, _u4122))) )).
% 12.29/12.52 cnf(matrix-2264, plain, ( ~class_Enum_Oenum(_u4126) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4126), _u4127)) | hBOOL(hAPP(_u4127, skolem82(_u4127, _u4126))) )).
% 12.29/12.52 cnf(matrix-2265, plain, ( ~class_Enum_Oenum(_u4126) | ~hBOOL(hAPP(_u4127, _u4125)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u4126), _u4127)) )).
% 12.29/12.52 cnf(matrix-2266, plain, ( ( hAPP(hAPP(_u4130, _u4131), hAPP(hAPP(_u4130, _u4131), _u4132)) = hAPP(hAPP(_u4130, _u4131), _u4132)) | ~c_Finite__Set_Ofun__left__comm__idem(_u4128, _u4129, _u4130) )).
% 12.29/12.52 cnf(matrix-2267, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u4133, _u4134, _u4135) | c_Finite__Set_Ofun__left__comm__idem(_u4136, _u4134, hAPP(hAPP(c_COMBB(_u4133, tc_fun(_u4134, _u4134), _u4136), _u4135), _u4137)) )).
% 12.29/12.52 cnf(matrix-2268, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4138, _u4139, _u4140, _u4141, c_Orderings_Obot__class_Obot(tc_fun(_u4138, tc_HOL_Obool))), _u4141)) )).
% 12.29/12.52 cnf(matrix-2269, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4142, _u4143, _u4144, _u4145, c_Orderings_Obot__class_Obot(tc_fun(_u4142, tc_HOL_Obool))), _u4145)) )).
% 12.29/12.52 cnf(matrix-2270, plain, ( ( _u4150 = _u4149) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4146, _u4147, _u4148, _u4149, c_Orderings_Obot__class_Obot(tc_fun(_u4146, tc_HOL_Obool))), _u4150)) )).
% 12.29/12.52 cnf(matrix-2271, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u4151, tc_fun(_u4151, tc_HOL_Obool), c_Set_Oinsert(_u4151)) )).
% 12.29/12.52 cnf(matrix-2272, plain, ( ~class_Lattices_Osemilattice__sup(_u4152) | c_Finite__Set_Ofun__left__comm__idem(_u4152, _u4152, c_Lattices_Osemilattice__sup__class_Osup(_u4152)) )).
% 12.29/12.52 cnf(matrix-2273, plain, ( ~class_Lattices_Osemilattice__inf(_u4153) | c_Finite__Set_Ofun__left__comm__idem(_u4153, _u4153, c_Lattices_Osemilattice__inf__class_Oinf(_u4153)) )).
% 12.29/12.52 cnf(matrix-2274, plain, ( hBOOL(hAPP(hAPP(c_member(_u4154), _u4155), _u4156)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4154, _u4157, _u4158, _u4159, _u4156), _u4160)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4154, _u4157, _u4158, _u4159, hAPP(hAPP(c_Set_Oinsert(_u4154), _u4155), _u4156)), hAPP(hAPP(_u4158, _u4155), _u4160))) )).
% 12.29/12.52 cnf(matrix-2275, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4161, _u4161, _u4162, _u4163, _u4164), _u4165)) | hBOOL(hAPP(hAPP(c_member(_u4161), _u4163), _u4164)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4161, _u4162, hAPP(hAPP(c_Set_Oinsert(_u4161), _u4163), _u4164)), _u4165)) )).
% 12.29/12.52 cnf(matrix-2276, plain, ( ~class_Groups_Oab__semigroup__mult(_u4166) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4166, _u4166, c_Groups_Otimes__class_Otimes(_u4166), _u4167, _u4168), _u4169)) | ~hBOOL(hAPP(hAPP(c_member(_u4166), _u4170), _u4168)) | hBOOL(hAPP(hAPP(c_member(_u4166), _u4167), _u4168)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4166, _u4166, c_Groups_Otimes__class_Otimes(_u4166), _u4170, hAPP(hAPP(c_Set_Oinsert(_u4166), _u4167), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4166, tc_HOL_Obool)), _u4168), hAPP(hAPP(c_Set_Oinsert(_u4166), _u4170), c_Orderings_Obot__class_Obot(tc_fun(_u4166, tc_HOL_Obool)))))), _u4169)) )).
% 12.29/12.52 cnf(matrix-2277, plain, ( ~c_Fun_Obij__betw(_u4171, _u4172, _u4173, c_Orderings_Otop__class_Otop(tc_fun(_u4171, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4172, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4171, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4171, _u4172, _u4173), _u4174)), _u4175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4172, tc_HOL_Obool)), _u4174), hAPP(c_Set_Oimage(_u4171, _u4172, _u4173), _u4175))) )).
% 12.29/12.52 cnf(matrix-2278, plain, ( ~c_Fun_Obij__betw(_u4171, _u4172, _u4173, c_Orderings_Otop__class_Otop(tc_fun(_u4171, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4172, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4172, tc_HOL_Obool)), _u4174), hAPP(c_Set_Oimage(_u4171, _u4172, _u4173), _u4175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4171, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4171, _u4172, _u4173), _u4174)), _u4175)) )).
% 12.29/12.52 cnf(matrix-2279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4177, tc_HOL_Obool)), _u4178), _u4179)) | hBOOL(hAPP(hAPP(c_member(_u4177), skolem83(_u4179, _u4178, _u4177)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4177, tc_HOL_Obool)), _u4179), _u4178))) )).
% 12.29/12.52 cnf(matrix-2280, plain, ( ~c_Fun_Oinj__on(_u4180, _u4181, _u4182, hAPP(c_Set_Oimage(_u4183, _u4180, _u4184), _u4185)) | ~c_Fun_Oinj__on(_u4183, _u4180, _u4184, _u4185) | ~hBOOL(hAPP(hAPP(c_member(_u4181), _u4186), hAPP(c_Set_Oimage(_u4180, _u4181, _u4182), hAPP(c_Set_Oimage(_u4183, _u4180, _u4184), _u4185)))) | ( hAPP(c_Fun_Othe__inv__into(_u4183, _u4181, _u4185, hAPP(c_Fun_Ocomp(_u4180, _u4181, _u4183, _u4182), _u4184)), _u4186) = hAPP(hAPP(c_Fun_Ocomp(_u4180, _u4183, _u4181, c_Fun_Othe__inv__into(_u4183, _u4180, _u4185, _u4184)), c_Fun_Othe__inv__into(_u4180, _u4181, hAPP(c_Set_Oimage(_u4183, _u4180, _u4184), _u4185), _u4182)), _u4186)) )).
% 12.29/12.52 cnf(matrix-2281, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4193), _u4195), _u4197)) | ( hAPP(c_Fun_Ooverride__on(_u4193, _u4199, _u4201, _u4203, _u4197), _u4195) = hAPP(_u4203, _u4195)) )).
% 12.29/12.52 cnf(matrix-2282, plain, ( hBOOL(hAPP(hAPP(c_member(_u4194), _u4196), _u4198)) | ( hAPP(c_Fun_Ooverride__on(_u4194, _u4200, _u4202, _u4204, _u4198), _u4196) = hAPP(_u4202, _u4196)) )).
% 12.29/12.52 cnf(matrix-2283, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4208), _u4211)), _u4207) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4209), _u4211)), _u4207)) | hBOOL(hAPP(hAPP(c_member(_u4206), skolem84(_u4211, _u4210, _u4209, _u4208, _u4207, _u4206)), _u4207)) )).
% 12.29/12.52 cnf(matrix-2284, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4208), _u4211)), _u4207) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4206, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u4206, _u4210, _u4209), _u4211)), _u4207)) | ( hAPP(_u4208, skolem84(_u4211, _u4210, _u4209, _u4208, _u4207, _u4206)) != hAPP(_u4209, skolem84(_u4211, _u4210, _u4209, _u4208, _u4207, _u4206))) )).
% 12.29/12.52 cnf(matrix-2285, plain, ( ~c_Finite__Set_Ofolding__one(_u4212, _u4213, _u4214) | ( hAPP(_u4214, hAPP(hAPP(c_Set_Oinsert(_u4212), _u4215), c_Orderings_Obot__class_Obot(tc_fun(_u4212, tc_HOL_Obool)))) = _u4215) )).
% 12.29/12.52 cnf(matrix-2286, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u4216, _u4217, _u4218, hAPP(c_COMBK(_u4217, _u4216), _u4219)), _u4220), _u4221) = _u4219) )).
% 12.29/12.52 cnf(matrix-2287, plain, ( ( hAPP(_u4225, hAPP(_u4226, _u4228)) = hAPP(_u4227, _u4228)) | ( hAPP(c_Fun_Ocomp(_u4222, _u4223, _u4224, _u4225), _u4226) != _u4227) )).
% 12.29/12.52 cnf(matrix-2288, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4229) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4229), _u4230), _u4230) = _u4230) )).
% 12.29/12.52 cnf(matrix-2289, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4231) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4231), _u4232), _u4232) = _u4232) )).
% 12.29/12.52 cnf(matrix-2290, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), _u4234), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), _u4234), _u4235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), _u4234), _u4235)) )).
% 12.29/12.52 cnf(matrix-2291, plain, ( ~class_Groups_Oab__semigroup__mult(_u4236) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), _u4237), _u4238)), _u4239) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), _u4237), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4236), _u4238), _u4239))) )).
% 12.29/12.52 cnf(matrix-2292, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u4240, _u4241, _u4242, _u4243), _u4244), _u4245) = hAPP(_u4243, hAPP(_u4244, _u4245))) )).
% 12.29/12.52 cnf(matrix-2293, plain, ( ( hAPP(c_Fun_Ocomp(_u4246, _u4247, _u4248, _u4249), hAPP(c_Fun_Ocomp(_u4250, _u4246, _u4248, _u4251), _u4252)) = hAPP(c_Fun_Ocomp(_u4250, _u4247, _u4248, hAPP(c_Fun_Ocomp(_u4246, _u4247, _u4250, _u4249), _u4251)), _u4252)) )).
% 12.29/12.52 cnf(matrix-2294, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u4253, _u4254, _u4255, _u4256), _u4257), _u4258) = hAPP(_u4256, hAPP(_u4257, _u4258))) )).
% 12.29/12.52 cnf(matrix-2295, plain, ( ( hAPP(_u4262, hAPP(_u4263, _u4267)) = hAPP(_u4265, hAPP(_u4266, _u4267))) | ( hAPP(c_Fun_Ocomp(_u4259, _u4260, _u4261, _u4262), _u4263) != hAPP(c_Fun_Ocomp(_u4264, _u4260, _u4261, _u4265), _u4266)) )).
% 12.29/12.52 cnf(matrix-2296, plain, ( ( hAPP(_u4272, hAPP(_u4273, _u4268)) = hAPP(_u4275, hAPP(_u4276, _u4268))) | ( hAPP(c_Fun_Ocomp(_u4269, _u4270, _u4271, _u4272), _u4273) != hAPP(c_Fun_Ocomp(_u4274, _u4270, _u4271, _u4275), _u4276)) )).
% 12.29/12.52 cnf(matrix-2297, plain, ( ~c_Fun_Obij__betw(_u4277, _u4278, _u4279, _u4280, _u4281) | ~c_Fun_Obij__betw(_u4278, _u4282, _u4283, _u4281, _u4284) | c_Fun_Obij__betw(_u4277, _u4282, hAPP(c_Fun_Ocomp(_u4278, _u4282, _u4277, _u4283), _u4279), _u4280, _u4284) )).
% 12.29/12.52 cnf(matrix-2298, plain, ( ~c_Fun_Obij__betw(_u4277, _u4278, _u4279, _u4280, _u4281) | ~c_Fun_Obij__betw(_u4277, _u4282, hAPP(c_Fun_Ocomp(_u4278, _u4282, _u4277, _u4283), _u4279), _u4280, _u4284) | c_Fun_Obij__betw(_u4278, _u4282, _u4283, _u4281, _u4284) )).
% 12.29/12.52 cnf(matrix-2299, plain, ( ~c_Fun_Obij__betw(_u4285, _u4286, _u4287, _u4288, _u4289) | ~c_Fun_Obij__betw(_u4286, _u4290, _u4291, _u4289, _u4292) | c_Fun_Obij__betw(_u4285, _u4290, hAPP(c_Fun_Ocomp(_u4286, _u4290, _u4285, _u4291), _u4287), _u4288, _u4292) )).
% 12.29/12.52 cnf(matrix-2300, plain, ( ~c_Fun_Obij__betw(_u4293, _u4294, _u4295, c_Orderings_Otop__class_Otop(tc_fun(_u4293, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4294, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u4294, _u4296, _u4297, c_Orderings_Otop__class_Otop(tc_fun(_u4294, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4296, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4293, _u4296, hAPP(c_Fun_Ocomp(_u4294, _u4296, _u4293, _u4297), _u4295), c_Orderings_Otop__class_Otop(tc_fun(_u4293, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4296, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2301, plain, ( ~c_Fun_Obij__betw(_u4298, _u4299, _u4300, _u4301, _u4302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4298, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4303, _u4298, _u4304), _u4305)), _u4301)) | ~c_Fun_Obij__betw(_u4303, _u4298, _u4304, _u4305, _u4301) | c_Fun_Obij__betw(_u4303, _u4299, hAPP(c_Fun_Ocomp(_u4298, _u4299, _u4303, _u4300), _u4304), _u4305, _u4302) )).
% 12.29/12.52 cnf(matrix-2302, plain, ( ~c_Fun_Obij__betw(_u4298, _u4299, _u4300, _u4301, _u4302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4298, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4303, _u4298, _u4304), _u4305)), _u4301)) | ~c_Fun_Obij__betw(_u4303, _u4299, hAPP(c_Fun_Ocomp(_u4298, _u4299, _u4303, _u4300), _u4304), _u4305, _u4302) | c_Fun_Obij__betw(_u4303, _u4298, _u4304, _u4305, _u4301) )).
% 12.29/12.52 cnf(matrix-2303, plain, ( ( hAPP(c_Set_Oimage(_u4306, _u4307, hAPP(c_Fun_Ocomp(_u4308, _u4307, _u4306, _u4309), _u4310)), _u4311) = hAPP(c_Set_Oimage(_u4308, _u4307, _u4309), hAPP(c_Set_Oimage(_u4306, _u4308, _u4310), _u4311))) )).
% 12.29/12.52 cnf(matrix-2304, plain, ( ~c_Fun_Oinj__on(_u4312, _u4313, hAPP(c_Fun_Ocomp(_u4314, _u4313, _u4312, _u4315), _u4316), _u4317) | c_Fun_Oinj__on(_u4312, _u4314, _u4316, _u4317) )).
% 12.29/12.52 cnf(matrix-2305, plain, ( ~c_Fun_Obij__betw(_u4318, _u4319, _u4320, _u4321, c_Orderings_Obot__class_Obot(tc_fun(_u4319, tc_HOL_Obool))) | ( _u4321 = c_Orderings_Obot__class_Obot(tc_fun(_u4318, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2306, plain, ( ( _u4325 = c_Orderings_Obot__class_Obot(tc_fun(_u4323, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u4322, _u4323, _u4324, c_Orderings_Obot__class_Obot(tc_fun(_u4322, tc_HOL_Obool)), _u4325) )).
% 12.29/12.52 cnf(matrix-2307, plain, ( ( hAPP(c_Fun_Ocomp(_u4326, _u4327, _u4328, _u4329), c_Fun_Ofun__upd(_u4328, _u4326, _u4330, _u4331, _u4332)) = c_Fun_Ofun__upd(_u4328, _u4327, hAPP(c_Fun_Ocomp(_u4326, _u4327, _u4328, _u4329), _u4330), _u4331, hAPP(_u4329, _u4332))) )).
% 12.29/12.52 cnf(matrix-2308, plain, ( ( hAPP(c_Set_Ovimage(_u4333, _u4334, hAPP(c_Fun_Ocomp(_u4335, _u4334, _u4333, _u4336), _u4337)), _u4338) = hAPP(c_Set_Ovimage(_u4333, _u4335, _u4337), hAPP(c_Set_Ovimage(_u4335, _u4334, _u4336), _u4338))) )).
% 12.29/12.52 cnf(matrix-2309, plain, ( ~c_Fun_Obij__betw(_u4339, _u4340, _u4341, _u4342, _u4343) | c_Fun_Oinj__on(_u4339, _u4340, _u4341, _u4342) )).
% 12.29/12.52 cnf(matrix-2310, plain, ( ( hAPP(c_Fun_Ocomp(_u4345, _u4345, _u4345, hAPP(_u4346, _u4347)), hAPP(_u4346, _u4347)) = hAPP(_u4346, _u4347)) | ~c_Finite__Set_Ofun__left__comm__idem(_u4344, _u4345, _u4346) )).
% 12.29/12.52 cnf(matrix-2311, plain, ( ~c_Fun_Obij__betw(_u4348, _u4349, _u4350, _u4351, _u4352) | c_Fun_Obij__betw(_u4349, _u4348, c_Fun_Othe__inv__into(_u4348, _u4349, _u4351, _u4350), _u4352, _u4351) )).
% 12.29/12.52 cnf(matrix-2312, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4353) | c_Finite__Set_Ofun__left__comm__idem(_u4353, _u4353, c_Groups_Otimes__class_Otimes(_u4353)) )).
% 12.29/12.52 cnf(matrix-2313, plain, ( ( hAPP(c_Set_Oimage(_u4354, _u4355, _u4356), c_Orderings_Otop__class_Otop(tc_fun(_u4354, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4355, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4355, _u4357, _u4358), c_Orderings_Otop__class_Otop(tc_fun(_u4355, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4357, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4354, _u4357, hAPP(c_Fun_Ocomp(_u4355, _u4357, _u4354, _u4358), _u4356)), c_Orderings_Otop__class_Otop(tc_fun(_u4354, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4357, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2314, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4359, tc_fun(_u4360, tc_HOL_Obool)), _u4361), hAPP(c_Fun_Ocomp(_u4362, tc_fun(_u4360, tc_HOL_Obool), _u4359, _u4363), _u4364)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4362, tc_fun(_u4360, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4359, _u4362, _u4364), _u4361)), _u4363)) )).
% 12.29/12.52 cnf(matrix-2315, plain, ( ~c_Fun_Oinj__on(_u4365, _u4366, _u4367, c_Orderings_Otop__class_Otop(tc_fun(_u4365, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u4368, _u4365, _u4369, c_Orderings_Otop__class_Otop(tc_fun(_u4368, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4368, _u4366, hAPP(c_Fun_Ocomp(_u4365, _u4366, _u4368, _u4367), _u4369), c_Orderings_Otop__class_Otop(tc_fun(_u4368, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2316, plain, ( ~c_Fun_Oinj__on(_u4370, _u4371, hAPP(c_Fun_Ocomp(_u4372, _u4371, _u4370, _u4373), _u4374), _u4375) | c_Fun_Oinj__on(_u4372, _u4371, _u4373, hAPP(c_Set_Oimage(_u4370, _u4372, _u4374), _u4375)) )).
% 12.29/12.52 cnf(matrix-2317, plain, ( ~c_Fun_Oinj__on(_u4376, _u4377, _u4378, _u4379) | ~c_Fun_Oinj__on(_u4377, _u4380, _u4381, hAPP(c_Set_Oimage(_u4376, _u4377, _u4378), _u4379)) | c_Fun_Oinj__on(_u4376, _u4380, hAPP(c_Fun_Ocomp(_u4377, _u4380, _u4376, _u4381), _u4378), _u4379) )).
% 12.29/12.52 cnf(matrix-2318, plain, ( ~c_Fun_Oinj__on(_u4382, _u4383, _u4384, _u4385) | ~c_Fun_Oinj__on(_u4383, _u4386, _u4387, hAPP(c_Set_Oimage(_u4382, _u4383, _u4384), _u4385)) | c_Fun_Oinj__on(_u4382, _u4386, hAPP(c_Fun_Ocomp(_u4383, _u4386, _u4382, _u4387), _u4384), _u4385) )).
% 12.29/12.52 cnf(matrix-2319, plain, ( ~c_Fun_Oinj__on(_u4382, _u4383, _u4384, _u4385) | ~c_Fun_Oinj__on(_u4382, _u4386, hAPP(c_Fun_Ocomp(_u4383, _u4386, _u4382, _u4387), _u4384), _u4385) | c_Fun_Oinj__on(_u4383, _u4386, _u4387, hAPP(c_Set_Oimage(_u4382, _u4383, _u4384), _u4385)) )).
% 12.29/12.52 cnf(matrix-2320, plain, ( ~c_Fun_Obij__betw(_u4388, _u4389, _u4390, _u4391, _u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4388, tc_HOL_Obool)), _u4393), _u4391)) | ( hAPP(c_Set_Oimage(_u4388, _u4389, _u4390), _u4393) != _u4394) | c_Fun_Obij__betw(_u4388, _u4389, _u4390, _u4393, _u4394) )).
% 12.29/12.52 cnf(matrix-2321, plain, ( ~c_Fun_Obij__betw(_u4395, _u4396, _u4397, _u4398, c_Orderings_Otop__class_Otop(tc_fun(_u4396, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4395, _u4396, _u4397), c_Orderings_Otop__class_Otop(tc_fun(_u4395, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4396, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2322, plain, ( ~c_Fun_Obij__betw(_u4399, _u4400, _u4401, c_Orderings_Otop__class_Otop(tc_fun(_u4399, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4400, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4399, _u4400, _u4401), c_Orderings_Otop__class_Otop(tc_fun(_u4399, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4400, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2323, plain, ( ~c_Fun_Obij__betw(_u4402, _u4403, _u4404, c_Orderings_Otop__class_Otop(tc_fun(_u4402, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4403, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4402, _u4403, _u4404, c_Orderings_Otop__class_Otop(tc_fun(_u4402, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2324, plain, ( ~c_Fun_Oinj__on(_u4405, _u4406, _u4407, _u4408) | c_Fun_Obij__betw(_u4405, _u4406, _u4407, _u4408, hAPP(c_Set_Oimage(_u4405, _u4406, _u4407), _u4408)) )).
% 12.29/12.52 cnf(matrix-2325, plain, ( ~c_Fun_Obij__betw(_u4414, _u4416, _u4418, _u4420, _u4422) | c_Fun_Oinj__on(_u4414, _u4416, _u4418, _u4420) )).
% 12.29/12.52 cnf(matrix-2326, plain, ( ~c_Fun_Obij__betw(_u4414, _u4416, _u4418, _u4420, _u4422) | ( hAPP(c_Set_Oimage(_u4414, _u4416, _u4418), _u4420) = _u4422) )).
% 12.29/12.52 cnf(matrix-2327, plain, ( ~c_Fun_Oinj__on(_u4415, _u4417, _u4419, _u4421) | ( hAPP(c_Set_Oimage(_u4415, _u4417, _u4419), _u4421) != _u4423) | c_Fun_Obij__betw(_u4415, _u4417, _u4419, _u4421, _u4423) )).
% 12.29/12.52 cnf(matrix-2328, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4424, _u4425, _u4426), _u4427)) | ( _u4426 != c_Orderings_Obot__class_Obot(tc_fun(_u4424, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2329, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4428, _u4429, c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))), _u4430)) )).
% 12.29/12.52 cnf(matrix-2330, plain, ( ~c_Fun_Obij__betw(_u4431, _u4432, _u4433, _u4434, _u4435) | ~c_Fun_Obij__betw(_u4431, _u4432, _u4433, _u4436, _u4437) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4432, tc_HOL_Obool)), _u4435), _u4437) != c_Orderings_Obot__class_Obot(tc_fun(_u4432, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4431, _u4432, _u4433, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4431, tc_HOL_Obool)), _u4434), _u4436), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4432, tc_HOL_Obool)), _u4435), _u4437)) )).
% 12.29/12.52 cnf(matrix-2331, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4438, tc_HOL_Obool)), _u4439), _u4440) != c_Orderings_Obot__class_Obot(tc_fun(_u4438, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4441, tc_HOL_Obool)), _u4442), _u4443) != c_Orderings_Obot__class_Obot(tc_fun(_u4441, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u4438, _u4441, _u4444, _u4439, _u4442) | ~c_Fun_Obij__betw(_u4438, _u4441, _u4444, _u4440, _u4443) | c_Fun_Obij__betw(_u4438, _u4441, _u4444, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4438, tc_HOL_Obool)), _u4439), _u4440), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4441, tc_HOL_Obool)), _u4442), _u4443)) )).
% 12.29/12.52 cnf(matrix-2332, plain, ( ~c_Fun_Obij__betw(_u4448, _u4450, _u4452, c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4450, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4448, _u4450, _u4452, c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2333, plain, ( ~c_Fun_Obij__betw(_u4448, _u4450, _u4452, c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4450, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4448, _u4450, _u4452), c_Orderings_Otop__class_Otop(tc_fun(_u4448, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4450, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2334, plain, ( ~c_Fun_Oinj__on(_u4449, _u4451, _u4453, c_Orderings_Otop__class_Otop(tc_fun(_u4449, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4449, _u4451, _u4453), c_Orderings_Otop__class_Otop(tc_fun(_u4449, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4451, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4449, _u4451, _u4453, c_Orderings_Otop__class_Otop(tc_fun(_u4449, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4451, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2335, plain, ( ~c_Fun_Oinj__on(_u4454, _u4455, _u4456, c_Orderings_Otop__class_Otop(tc_fun(_u4454, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4454, _u4455, _u4456), c_Orderings_Otop__class_Otop(tc_fun(_u4454, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4455, tc_HOL_Obool))) | c_Fun_Obij__betw(_u4454, _u4455, _u4456, c_Orderings_Otop__class_Otop(tc_fun(_u4454, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4455, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2336, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4457), _u4458), _u4459)) | ( hAPP(c_Fun_Ooverride__on(_u4457, _u4460, _u4461, _u4462, _u4459), _u4458) = hAPP(_u4462, _u4458)) )).
% 12.29/12.52 cnf(matrix-2337, plain, ( hBOOL(hAPP(hAPP(c_member(_u4463), _u4464), _u4465)) | ( hAPP(c_Fun_Ooverride__on(_u4463, _u4466, _u4467, _u4468, _u4465), _u4464) = hAPP(_u4467, _u4464)) )).
% 12.29/12.52 cnf(matrix-2338, plain, ( ~c_Fun_Obij__betw(_u4469, _u4470, _u4471, c_Orderings_Otop__class_Otop(tc_fun(_u4469, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4470, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4469, _u4470, _u4471), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4469, tc_HOL_Obool)), _u4472)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4470, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4469, _u4470, _u4471), _u4472))) )).
% 12.29/12.52 cnf(matrix-2339, plain, ( ( c_Fun_Ooverride__on(_u4473, _u4474, _u4475, _u4476, c_Orderings_Obot__class_Obot(tc_fun(_u4473, tc_HOL_Obool))) = _u4475) )).
% 12.29/12.52 cnf(matrix-2340, plain, ( ~class_Groups_Oab__semigroup__mult(_u4477) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4477, _u4477, c_Groups_Otimes__class_Otimes(_u4477), _u4478, _u4479), _u4480)) | hBOOL(hAPP(hAPP(c_member(_u4477), _u4478), _u4479)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4477, _u4477, c_Groups_Otimes__class_Otimes(_u4477), _u4481, hAPP(hAPP(c_Set_Oinsert(_u4477), _u4478), _u4479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4477), _u4481), _u4480))) )).
% 12.29/12.52 cnf(matrix-2341, plain, ( ~c_Fun_Obij__betw(_u4482, _u4483, _u4484, c_Orderings_Otop__class_Otop(tc_fun(_u4482, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4483, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4482, _u4483, _u4484), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4485, tc_fun(_u4482, tc_HOL_Obool)), _u4486), _u4487)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4485, tc_fun(_u4483, tc_HOL_Obool)), _u4486), hAPP(hAPP(c_COMBB(tc_fun(_u4482, tc_HOL_Obool), tc_fun(_u4483, tc_HOL_Obool), _u4485), c_Set_Oimage(_u4482, _u4483, _u4484)), _u4487))) )).
% 12.29/12.52 cnf(matrix-2342, plain, ( ( _u4496 = _u4498) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4492, _u4494, hAPP(hAPP(c_Set_Oinsert(_u4492), _u4496), c_Orderings_Obot__class_Obot(tc_fun(_u4492, tc_HOL_Obool)))), _u4498)) )).
% 12.29/12.52 cnf(matrix-2343, plain, ( ( _u4497 != _u4499) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4493, _u4495, hAPP(hAPP(c_Set_Oinsert(_u4493), _u4497), c_Orderings_Obot__class_Obot(tc_fun(_u4493, tc_HOL_Obool)))), _u4499)) )).
% 12.29/12.52 cnf(matrix-2344, plain, ( ~class_Rings_Oring(_u4500) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4500), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4500), _u4501), _u4502)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4500), _u4501), hAPP(c_Groups_Ouminus__class_Ouminus(_u4500), _u4502))) )).
% 12.29/12.52 cnf(matrix-2345, plain, ( ~class_Rings_Oring(_u4503) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u4503), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4503), _u4504), _u4505)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4503), hAPP(c_Groups_Ouminus__class_Ouminus(_u4503), _u4504)), _u4505)) )).
% 12.29/12.52 cnf(matrix-2346, plain, ( ~class_Rings_Oring(_u4506) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4506), hAPP(c_Groups_Ouminus__class_Ouminus(_u4506), _u4507)), _u4508) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4506), _u4507), hAPP(c_Groups_Ouminus__class_Ouminus(_u4506), _u4508))) )).
% 12.29/12.52 cnf(matrix-2347, plain, ( ~class_Rings_Oring(_u4509) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4509), hAPP(c_Groups_Ouminus__class_Ouminus(_u4509), _u4510)), hAPP(c_Groups_Ouminus__class_Ouminus(_u4509), _u4511)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4509), _u4510), _u4511)) )).
% 12.29/12.52 cnf(matrix-2348, plain, ( ~class_Rings_Oidom(_u4512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4513) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4514), _u4514)) | ( _u4513 = _u4514) | ( _u4513 = hAPP(c_Groups_Ouminus__class_Ouminus(_u4512), _u4514)) )).
% 12.29/12.52 cnf(matrix-2349, plain, ( ~class_Rings_Oidom(_u4512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4514), _u4514)) | ( _u4513 != _u4514) )).
% 12.29/12.52 cnf(matrix-2350, plain, ( ~class_Rings_Oidom(_u4512) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4513), _u4513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4512), _u4514), _u4514)) | ( _u4513 != hAPP(c_Groups_Ouminus__class_Ouminus(_u4512), _u4514)) )).
% 12.29/12.52 cnf(matrix-2351, plain, ( ~c_Finite__Set_Ofolding__one(_u4515, _u4516, _u4517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4515), _u4518)) | ~hBOOL(hAPP(hAPP(c_member(_u4515), _u4519), _u4518)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4515, tc_HOL_Obool)), _u4518), hAPP(hAPP(c_Set_Oinsert(_u4515), _u4519), c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool))) | ( hAPP(_u4517, _u4518) = _u4519) )).
% 12.29/12.52 cnf(matrix-2352, plain, ( ~c_Finite__Set_Ofolding__one(_u4515, _u4516, _u4517) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4515), _u4518)) | ~hBOOL(hAPP(hAPP(c_member(_u4515), _u4519), _u4518)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4515, tc_HOL_Obool)), _u4518), hAPP(hAPP(c_Set_Oinsert(_u4515), _u4519), c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool))) | ( hAPP(_u4517, _u4518) = hAPP(hAPP(_u4516, _u4519), hAPP(_u4517, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4515, tc_HOL_Obool)), _u4518), hAPP(hAPP(c_Set_Oinsert(_u4515), _u4519), c_Orderings_Obot__class_Obot(tc_fun(_u4515, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2353, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4529, _u4531, hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535)), _u4537)) | ( hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535) = hAPP(hAPP(c_Set_Oinsert(_u4529), skolem85(_u4537, _u4535, _u4533, _u4531, _u4529)), skolem86(_u4537, _u4535, _u4533, _u4531, _u4529))) )).
% 12.29/12.52 cnf(matrix-2354, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4529, _u4531, hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535)), _u4537)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4529, _u4529, _u4531, skolem85(_u4537, _u4535, _u4533, _u4531, _u4529), skolem86(_u4537, _u4535, _u4533, _u4531, _u4529)), _u4537)) )).
% 12.29/12.52 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4529, _u4531, hAPP(hAPP(c_Set_Oinsert(_u4529), _u4533), _u4535)), _u4537)) | ~hBOOL(hAPP(hAPP(c_member(_u4529), skolem85(_u4537, _u4535, _u4533, _u4531, _u4529)), skolem86(_u4537, _u4535, _u4533, _u4531, _u4529))) )).
% 12.29/12.52 cnf(matrix-2356, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u4530), _u4534), _u4536) != hAPP(hAPP(c_Set_Oinsert(_u4530), _u4523), _u4522)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4530, _u4530, _u4532, _u4523, _u4522), _u4538)) | hBOOL(hAPP(hAPP(c_member(_u4530), _u4523), _u4522)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4530, _u4532, hAPP(hAPP(c_Set_Oinsert(_u4530), _u4534), _u4536)), _u4538)) )).
% 12.29/12.52 cnf(matrix-2357, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4541, _u4542, hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544)), _u4545)) | ( hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544) = hAPP(hAPP(c_Set_Oinsert(_u4541), skolem87(_u4545, _u4544, _u4543, _u4542, _u4541)), skolem88(_u4545, _u4544, _u4543, _u4542, _u4541))) )).
% 12.29/12.52 cnf(matrix-2358, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4541, _u4542, hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544)), _u4545)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4541, _u4541, _u4542, skolem87(_u4545, _u4544, _u4543, _u4542, _u4541), skolem88(_u4545, _u4544, _u4543, _u4542, _u4541)), _u4545)) )).
% 12.29/12.52 cnf(matrix-2359, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u4541, _u4542, hAPP(hAPP(c_Set_Oinsert(_u4541), _u4543), _u4544)), _u4545)) | ~hBOOL(hAPP(hAPP(c_member(_u4541), skolem87(_u4545, _u4544, _u4543, _u4542, _u4541)), skolem88(_u4545, _u4544, _u4543, _u4542, _u4541))) )).
% 12.29/12.52 cnf(matrix-2360, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4546), c_Orderings_Obot__class_Obot(tc_fun(_u4546, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2361, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), _u4548)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4547), hAPP(hAPP(c_Set_Oinsert(_u4547), _u4549), _u4548))) )).
% 12.29/12.52 cnf(matrix-2362, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4550), _u4551)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4552), hAPP(c_Set_Oimage(_u4550, _u4552, _u4553), _u4551))) )).
% 12.29/12.52 cnf(matrix-2363, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4554, tc_HOL_Obool)), _u4555), _u4556))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), _u4555)) )).
% 12.29/12.52 cnf(matrix-2364, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4554, tc_HOL_Obool)), _u4555), _u4556))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4554), _u4556)) )).
% 12.29/12.52 cnf(matrix-2365, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4557), _u4558)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4557, tc_HOL_Obool)), _u4558), _u4559))) )).
% 12.29/12.52 cnf(matrix-2366, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u4561, tc_HOL_Obool)), _u4560), _u4562)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4561), _u4560)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4561), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u4561, tc_HOL_Obool), _u4562))) )).
% 12.29/12.52 cnf(matrix-2367, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4564), _u4563), _u4565)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4566), hAPP(_u4567, _u4563))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4566), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u4564, tc_fun(_u4566, tc_HOL_Obool)), _u4565), _u4567))) )).
% 12.29/12.52 cnf(matrix-2368, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4570, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4570), _u4572))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4570), _u4572)) )).
% 12.29/12.52 cnf(matrix-2369, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4571), _u4573)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4571, tc_HOL_Obool)), hAPP(c_Set_OPow(_u4571), _u4573))) )).
% 12.29/12.52 cnf(matrix-2370, plain, ( ~class_Finite__Set_Ofinite(_u4574) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4574), _u4575)) )).
% 12.29/12.52 cnf(matrix-2371, plain, ( ~class_Finite__Set_Ofinite(_u4576) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4576), _u4577)) )).
% 12.29/12.52 cnf(matrix-2372, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4578), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4578, tc_HOL_Obool), _u4579))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4578, tc_HOL_Obool)), _u4579)) )).
% 12.29/12.52 cnf(matrix-2373, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4580), c_Orderings_Otop__class_Otop(tc_fun(_u4580, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4581), c_Orderings_Otop__class_Otop(tc_fun(_u4581, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u4580, _u4581)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u4580, _u4581), tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2374, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4584, _u4586)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4584, _u4586), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4584), c_Orderings_Otop__class_Otop(tc_fun(_u4584, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2375, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4584, _u4586)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4584, _u4586), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4586), c_Orderings_Otop__class_Otop(tc_fun(_u4586, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4585), c_Orderings_Otop__class_Otop(tc_fun(_u4585, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4587), c_Orderings_Otop__class_Otop(tc_fun(_u4587, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4585, _u4587)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u4585, _u4587), tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2377, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4589)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4589), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4589), c_Orderings_Otop__class_Otop(tc_fun(_u4589, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2378, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4590), c_Orderings_Otop__class_Otop(tc_fun(_u4590, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u4590)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u4590), tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2379, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4591), c_Orderings_Obot__class_Obot(tc_fun(_u4591, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2380, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4595), hAPP(hAPP(c_Set_Oinsert(_u4595), _u4597), _u4599))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4595), _u4599)) )).
% 12.29/12.52 cnf(matrix-2381, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), _u4600)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), hAPP(hAPP(c_Set_Oinsert(_u4596), _u4598), _u4600))) )).
% 12.29/12.52 cnf(matrix-2382, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4602), c_Orderings_Otop__class_Otop(tc_fun(_u4602, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4601, _u4602)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u4601, _u4602), tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4603, tc_HOL_Obool)), _u4604), _u4605)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4605)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4603), _u4604)) )).
% 12.29/12.52 cnf(matrix-2384, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4606), _u4607)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4606, tc_HOL_Obool)), _u4608), _u4607)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4606), _u4608)) )).
% 12.29/12.52 cnf(matrix-2385, plain, ( ~class_Finite__Set_Ofinite(_u4609) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4609), c_Orderings_Otop__class_Otop(tc_fun(_u4609, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2386, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4613, tc_HOL_Obool)), _u4615), _u4617))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4615)) )).
% 12.29/12.52 cnf(matrix-2387, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4613, tc_HOL_Obool)), _u4615), _u4617))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4613), _u4617)) )).
% 12.29/12.52 cnf(matrix-2388, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4616)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4618)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4614, tc_HOL_Obool)), _u4616), _u4618))) )).
% 12.29/12.52 cnf(matrix-2389, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4619), _u4620)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4619), _u4621)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4619), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4619, tc_HOL_Obool)), _u4620), _u4621))) )).
% 12.29/12.52 cnf(matrix-2390, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4622, tc_HOL_Obool)), _u4624), _u4623))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4624)) )).
% 12.29/12.52 cnf(matrix-2391, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4623)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), _u4624)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4622), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4622, tc_HOL_Obool)), _u4624), _u4623))) )).
% 12.29/12.52 cnf(matrix-2392, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4627), _u4628)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4627, tc_fun(_u4629, tc_HOL_Obool)), _u4628), _u4630))) | ~hBOOL(hAPP(hAPP(c_member(_u4627), _u4625), _u4628)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(_u4630, _u4625))) )).
% 12.29/12.52 cnf(matrix-2393, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4627), _u4628)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4627, tc_fun(_u4629, tc_HOL_Obool)), _u4628), _u4630))) | hBOOL(hAPP(hAPP(c_member(_u4627), skolem89(_u4630, _u4629, _u4628, _u4627)), _u4628)) )).
% 12.29/12.52 cnf(matrix-2394, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4627), _u4628)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u4627, tc_fun(_u4629, tc_HOL_Obool)), _u4628), _u4630))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), hAPP(_u4630, skolem89(_u4630, _u4629, _u4628, _u4627)))) )).
% 12.29/12.52 cnf(matrix-2395, plain, ( ~c_Fun_Obij__betw(_u4631, _u4632, _u4633, _u4634, _u4635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4631), _u4634)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4635)) )).
% 12.29/12.52 cnf(matrix-2396, plain, ( ~c_Fun_Obij__betw(_u4631, _u4632, _u4633, _u4634, _u4635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4635)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4631), _u4634)) )).
% 12.29/12.52 cnf(matrix-2397, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4636, _u4637, _u4638, _u4639, _u4640), _u4641)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4636), _u4640)) )).
% 12.29/12.52 cnf(matrix-2398, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4642), _u4643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4644, tc_HOL_Obool)), _u4645), hAPP(c_Set_Oimage(_u4642, _u4644, _u4646), _u4643))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4644), _u4645)) )).
% 12.29/12.52 cnf(matrix-2399, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4651), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4651, tc_HOL_Obool)), _u4653), hAPP(hAPP(c_Set_Oinsert(_u4651), _u4655), _u4657)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4651), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4651, tc_HOL_Obool)), _u4653), _u4657))) )).
% 12.29/12.52 cnf(matrix-2400, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4652, tc_HOL_Obool)), _u4654), _u4658))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4652, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4652), _u4656), _u4658)))) )).
% 12.29/12.52 cnf(matrix-2401, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), hAPP(c_Set_Oimage(_u4660, _u4659, _u4661), _u4662))) | ~c_Fun_Oinj__on(_u4660, _u4659, _u4661, _u4662) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4660), _u4662)) )).
% 12.29/12.52 cnf(matrix-2402, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), _u4664)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4663, tc_HOL_Obool)), _u4664))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), c_Orderings_Otop__class_Otop(tc_fun(_u4663, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2403, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), _u4664)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), c_Orderings_Otop__class_Otop(tc_fun(_u4663, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4663), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u4663, tc_HOL_Obool)), _u4664))) )).
% 12.29/12.52 cnf(matrix-2404, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4665), hAPP(c_Set_Oimage(_u4666, _u4665, _u4667), c_Orderings_Otop__class_Otop(tc_fun(_u4666, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4668), hAPP(c_Set_Oimage(_u4666, _u4668, hAPP(hAPP(c_COMBB(_u4665, _u4668, _u4666), _u4669), _u4667)), c_Orderings_Otop__class_Otop(tc_fun(_u4666, tc_HOL_Obool))))) )).
% 12.29/12.52 cnf(matrix-2405, plain, ( ~class_Rings_Olinordered__idom(_u4670) | ( _u4671 = _u4672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4670), _u4671), _u4672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4670), _u4672), _u4671)) )).
% 12.29/12.52 cnf(matrix-2406, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4673), _u4674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4673, tc_HOL_Obool)), _u4674), hAPP(c_Set_Oimage(_u4673, _u4673, _u4675), _u4674))) | c_Fun_Oinj__on(_u4673, _u4673, _u4675, _u4674) )).
% 12.29/12.52 cnf(matrix-2407, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4676), _u4677)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4676, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u4676, _u4676, _u4678), _u4677)), _u4677)) | ~c_Fun_Oinj__on(_u4676, _u4676, _u4678, _u4677) | ( hAPP(c_Set_Oimage(_u4676, _u4676, _u4678), _u4677) = _u4677) )).
% 12.29/12.52 cnf(matrix-2408, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4679), c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u4679, _u4679, _u4680), c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool))) | c_Fun_Oinj__on(_u4679, _u4679, _u4680, c_Orderings_Otop__class_Otop(tc_fun(_u4679, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2409, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4681), c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u4681, _u4681, _u4682, c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u4681, _u4681, _u4682), c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u4681, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4683), hAPP(c_Set_Ovimage(_u4683, _u4684, _u4685), _u4686))) | ( hAPP(c_Set_Oimage(_u4683, _u4684, _u4685), c_Orderings_Otop__class_Otop(tc_fun(_u4683, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u4684, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4684), _u4686)) )).
% 12.29/12.52 cnf(matrix-2411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4687), _u4688)) | ~c_Fun_Oinj__on(_u4689, _u4687, _u4690, c_Orderings_Otop__class_Otop(tc_fun(_u4689, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4689), hAPP(c_Set_Ovimage(_u4689, _u4687, _u4690), _u4688))) )).
% 12.29/12.52 cnf(matrix-2412, plain, ( ~c_Fun_Obij__betw(_u4691, _u4692, _u4693, c_Orderings_Otop__class_Otop(tc_fun(_u4691, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4691), hAPP(c_Set_Ovimage(_u4691, _u4692, _u4693), _u4694))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4694)) )).
% 12.29/12.52 cnf(matrix-2413, plain, ( ~c_Fun_Obij__betw(_u4691, _u4692, _u4693, c_Orderings_Otop__class_Otop(tc_fun(_u4691, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u4692, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4692), _u4694)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4691), hAPP(c_Set_Ovimage(_u4691, _u4692, _u4693), _u4694))) )).
% 12.29/12.52 cnf(matrix-2414, plain, ( ~c_Finite__Set_Ofolding__one(_u4695, _u4696, _u4697) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4695), _u4698)) | hBOOL(hAPP(hAPP(c_member(_u4695), _u4699), _u4698)) | ( _u4698 = c_Orderings_Obot__class_Obot(tc_fun(_u4695, tc_HOL_Obool))) | ( hAPP(_u4697, hAPP(hAPP(c_Set_Oinsert(_u4695), _u4699), _u4698)) = hAPP(hAPP(_u4696, _u4699), hAPP(_u4697, _u4698))) )).
% 12.29/12.52 cnf(matrix-2415, plain, ( ~c_Finite__Set_Ofolding__one(_u4700, _u4701, _u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4700), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4700, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool))) | ( hAPP(_u4702, hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), _u4703)) = _u4704) )).
% 12.29/12.52 cnf(matrix-2416, plain, ( ~c_Finite__Set_Ofolding__one(_u4700, _u4701, _u4702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4700), _u4703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4700, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool))) | ( hAPP(_u4702, hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), _u4703)) = hAPP(hAPP(_u4701, _u4704), hAPP(_u4702, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4700, tc_HOL_Obool)), _u4703), hAPP(hAPP(c_Set_Oinsert(_u4700), _u4704), c_Orderings_Obot__class_Obot(tc_fun(_u4700, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2417, plain, ( ~c_Finite__Set_Ofolding__one(_u4705, _u4706, _u4707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4705), _u4708)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4705), _u4709)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4705, tc_HOL_Obool)), _u4708), _u4709) = c_Orderings_Obot__class_Obot(tc_fun(_u4705, tc_HOL_Obool))) | ( hAPP(hAPP(_u4706, hAPP(_u4707, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4705, tc_HOL_Obool)), _u4708), _u4709))), hAPP(_u4707, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4705, tc_HOL_Obool)), _u4708), _u4709))) = hAPP(hAPP(_u4706, hAPP(_u4707, _u4708)), hAPP(_u4707, _u4709))) )).
% 12.29/12.52 cnf(matrix-2418, plain, ( ~c_Finite__Set_Ofolding__one(_u4710, _u4711, _u4712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4710), _u4713)) | ( _u4713 = c_Orderings_Obot__class_Obot(tc_fun(_u4710, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4710), _u4714)) | ( _u4714 = c_Orderings_Obot__class_Obot(tc_fun(_u4710, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4710, tc_HOL_Obool)), _u4713), _u4714) != c_Orderings_Obot__class_Obot(tc_fun(_u4710, tc_HOL_Obool))) | ( hAPP(_u4712, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4710, tc_HOL_Obool)), _u4713), _u4714)) = hAPP(hAPP(_u4711, hAPP(_u4712, _u4713)), hAPP(_u4712, _u4714))) )).
% 12.29/12.52 cnf(matrix-2419, plain, ( ~c_Finite__Set_Ofolding(_u4715, _u4716, _u4717, _u4718) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4715), _u4719)) | ~hBOOL(hAPP(hAPP(c_member(_u4715), _u4720), _u4719)) | ( hAPP(_u4718, _u4719) = hAPP(c_Fun_Ocomp(_u4716, _u4716, _u4716, hAPP(_u4718, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4715, tc_HOL_Obool)), _u4719), hAPP(hAPP(c_Set_Oinsert(_u4715), _u4720), c_Orderings_Obot__class_Obot(tc_fun(_u4715, tc_HOL_Obool)))))), hAPP(_u4717, _u4720))) )).
% 12.29/12.52 cnf(matrix-2420, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4722), _u4727)) | ~hBOOL(hAPP(hAPP(c_member(_u4722), _u4728), _u4727)) | ( hAPP(_u4726, _u4727) = hAPP(hAPP(_u4723, hAPP(_u4725, _u4728)), hAPP(_u4726, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4722, tc_HOL_Obool)), _u4727), hAPP(hAPP(c_Set_Oinsert(_u4722), _u4728), c_Orderings_Obot__class_Obot(tc_fun(_u4722, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4721, _u4722, _u4723, _u4724, _u4725, _u4726) )).
% 12.29/12.52 cnf(matrix-2421, plain, ( ~c_Finite__Set_Ofolding__image(_u4729, _u4730, _u4731, _u4732, _u4733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4730), _u4734)) | ~c_Fun_Oinj__on(_u4730, _u4730, _u4735, _u4734) | ( hAPP(hAPP(_u4733, _u4736), hAPP(c_Set_Oimage(_u4730, _u4730, _u4735), _u4734)) = hAPP(hAPP(_u4733, hAPP(c_Fun_Ocomp(_u4730, _u4729, _u4730, _u4736), _u4735)), _u4734)) )).
% 12.29/12.52 cnf(matrix-2422, plain, ( ~c_Finite__Set_Ofolding(_u4737, _u4738, _u4739, _u4740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4737), _u4741)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4737), _u4742)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4737, tc_HOL_Obool)), _u4741), _u4742) != c_Orderings_Obot__class_Obot(tc_fun(_u4737, tc_HOL_Obool))) | ( hAPP(_u4740, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4737, tc_HOL_Obool)), _u4741), _u4742)) = hAPP(c_Fun_Ocomp(_u4738, _u4738, _u4738, hAPP(_u4740, _u4741)), hAPP(_u4740, _u4742))) )).
% 12.29/12.52 cnf(matrix-2423, plain, ( ~c_Finite__Set_Ofolding(_u4743, _u4744, _u4745, _u4746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4743), _u4747)) | ( hAPP(_u4746, hAPP(hAPP(c_Set_Oinsert(_u4743), _u4748), _u4747)) = hAPP(c_Fun_Ocomp(_u4744, _u4744, _u4744, hAPP(_u4746, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4743, tc_HOL_Obool)), _u4747), hAPP(hAPP(c_Set_Oinsert(_u4743), _u4748), c_Orderings_Obot__class_Obot(tc_fun(_u4743, tc_HOL_Obool)))))), hAPP(_u4745, _u4748))) )).
% 12.29/12.52 cnf(matrix-2424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4750), _u4755)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4750), _u4756)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4750, tc_HOL_Obool)), _u4755), _u4756) != c_Orderings_Obot__class_Obot(tc_fun(_u4750, tc_HOL_Obool))) | ( hAPP(_u4754, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4750, tc_HOL_Obool)), _u4755), _u4756)) = hAPP(hAPP(_u4751, hAPP(_u4754, _u4755)), hAPP(_u4754, _u4756))) | ~c_Finite__Set_Ofolding__image__simple(_u4749, _u4750, _u4751, _u4752, _u4753, _u4754) )).
% 12.29/12.52 cnf(matrix-2425, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4758), _u4763)) | ( hAPP(_u4762, hAPP(hAPP(c_Set_Oinsert(_u4758), _u4764), _u4763)) = hAPP(hAPP(_u4759, hAPP(_u4761, _u4764)), hAPP(_u4762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4758, tc_HOL_Obool)), _u4763), hAPP(hAPP(c_Set_Oinsert(_u4758), _u4764), c_Orderings_Obot__class_Obot(tc_fun(_u4758, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u4757, _u4758, _u4759, _u4760, _u4761, _u4762) )).
% 12.29/12.52 cnf(matrix-2426, plain, ( ~class_Lattices_Olattice(_u4765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4765), _u4766)) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4767), _u4766)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4765, tc_HOL_Obool)), _u4766), hAPP(hAPP(c_Set_Oinsert(_u4765), _u4767), c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4765, _u4766) = _u4767) )).
% 12.29/12.52 cnf(matrix-2427, plain, ( ~class_Lattices_Olattice(_u4765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4765), _u4766)) | ~hBOOL(hAPP(hAPP(c_member(_u4765), _u4767), _u4766)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4765, tc_HOL_Obool)), _u4766), hAPP(hAPP(c_Set_Oinsert(_u4765), _u4767), c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4765, _u4766) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4765), _u4767), c_Big__Operators_Olattice__class_OInf__fin(_u4765, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4765, tc_HOL_Obool)), _u4766), hAPP(hAPP(c_Set_Oinsert(_u4765), _u4767), c_Orderings_Obot__class_Obot(tc_fun(_u4765, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2428, plain, ( ~c_Finite__Set_Ofolding(_u4768, _u4769, _u4770, _u4771) | ( hAPP(c_Fun_Ocomp(_u4772, _u4773, _u4774, _u4775), hAPP(c_Fun_Ocomp(_u4776, _u4772, _u4774, _u4777), _u4778)) = hAPP(c_Fun_Ocomp(_u4776, _u4773, _u4774, hAPP(c_Fun_Ocomp(_u4772, _u4773, _u4776, _u4775), _u4777)), _u4778)) )).
% 12.29/12.52 cnf(matrix-2429, plain, ( ( hAPP(c_Fun_Ocomp(_u4780, _u4780, _u4780, hAPP(_u4781, _u4783)), hAPP(_u4781, _u4784)) = hAPP(c_Fun_Ocomp(_u4780, _u4780, _u4780, hAPP(_u4781, _u4784)), hAPP(_u4781, _u4783))) | ~c_Finite__Set_Ofolding(_u4779, _u4780, _u4781, _u4782) )).
% 12.29/12.52 cnf(matrix-2430, plain, ( ( hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4790)), hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4791)), _u4792)) = hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4791)), hAPP(c_Fun_Ocomp(_u4786, _u4786, _u4789, hAPP(_u4787, _u4790)), _u4792))) | ~c_Finite__Set_Ofolding(_u4785, _u4786, _u4787, _u4788) )).
% 12.29/12.52 cnf(matrix-2431, plain, ( ( hAPP(_u4798, c_Orderings_Obot__class_Obot(tc_fun(_u4794, tc_HOL_Obool))) = _u4796) | ~c_Finite__Set_Ofolding__image__simple(_u4793, _u4794, _u4795, _u4796, _u4797, _u4798) )).
% 12.29/12.52 cnf(matrix-2432, plain, ( ~class_Lattices_Olattice(_u4799) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4799, hAPP(hAPP(c_Set_Oinsert(_u4799), _u4800), c_Orderings_Obot__class_Obot(tc_fun(_u4799, tc_HOL_Obool)))) = _u4800) )).
% 12.29/12.52 cnf(matrix-2433, plain, ( ~c_Finite__Set_Ofolding__image(_u4801, _u4802, _u4803, _u4804, _u4805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4802), _u4806)) | ( hAPP(hAPP(_u4805, hAPP(hAPP(c_COMBS(_u4802, _u4801, _u4801), hAPP(hAPP(c_COMBB(_u4801, tc_fun(_u4801, _u4801), _u4802), _u4803), _u4807)), _u4808)), _u4806) = hAPP(hAPP(_u4803, hAPP(hAPP(_u4805, _u4807), _u4806)), hAPP(hAPP(_u4805, _u4808), _u4806))) )).
% 12.29/12.52 cnf(matrix-2434, plain, ( ~c_Finite__Set_Ofolding(_u4809, _u4810, _u4811, _u4812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4809), _u4813)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4809), _u4814)) | ( hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4814)), hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4813)), _u4816)) = hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4813)), hAPP(c_Fun_Ocomp(_u4810, _u4810, _u4815, hAPP(_u4812, _u4814)), _u4816))) )).
% 12.29/12.52 cnf(matrix-2435, plain, ( ~c_Finite__Set_Ofolding(_u4817, _u4818, _u4819, _u4820) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4817), _u4821)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4817), _u4822)) | ( hAPP(c_Fun_Ocomp(_u4818, _u4818, _u4818, hAPP(_u4820, _u4822)), hAPP(_u4820, _u4821)) = hAPP(c_Fun_Ocomp(_u4818, _u4818, _u4818, hAPP(_u4820, _u4821)), hAPP(_u4820, _u4822))) )).
% 12.29/12.52 cnf(matrix-2436, plain, ( ~c_Finite__Set_Ofolding(_u4823, _u4824, _u4825, _u4826) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4823), _u4827)) | ( hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4825, _u4829)), hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4826, _u4827)), _u4830)) = hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4826, _u4827)), hAPP(c_Fun_Ocomp(_u4824, _u4824, _u4828, hAPP(_u4825, _u4829)), _u4830))) )).
% 12.29/12.52 cnf(matrix-2437, plain, ( ~c_Finite__Set_Ofolding(_u4831, _u4832, _u4833, _u4834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4831), _u4835)) | ( hAPP(c_Fun_Ocomp(_u4832, _u4832, _u4832, hAPP(_u4833, _u4836)), hAPP(_u4834, _u4835)) = hAPP(c_Fun_Ocomp(_u4832, _u4832, _u4832, hAPP(_u4834, _u4835)), hAPP(_u4833, _u4836))) )).
% 12.29/12.52 cnf(matrix-2438, plain, ( ~class_Lattices_Olattice(_u4837) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4837), _u4838)) | ~hBOOL(hAPP(hAPP(c_member(_u4837), _u4839), _u4838)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4837), _u4839), c_Big__Operators_Olattice__class_OInf__fin(_u4837, _u4838)) = _u4839) )).
% 12.29/12.52 cnf(matrix-2439, plain, ( ~class_Lattices_Olattice(_u4840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4840), _u4841)) | ~hBOOL(hAPP(hAPP(c_member(_u4840), _u4842), _u4841)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4840), _u4842), c_Big__Operators_Olattice__class_OInf__fin(_u4840, _u4841)) = c_Big__Operators_Olattice__class_OInf__fin(_u4840, _u4841)) )).
% 12.29/12.52 cnf(matrix-2440, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4843) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4843), _u4844)) | ( _u4844 = c_Orderings_Obot__class_Obot(tc_fun(_u4843, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4843, _u4844) = c_Complete__Lattice_OInf__class_OInf(_u4843, _u4844)) )).
% 12.29/12.52 cnf(matrix-2441, plain, ( ~class_Lattices_Olattice(_u4845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4845), _u4846)) | ( _u4846 = c_Orderings_Obot__class_Obot(tc_fun(_u4845, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4845, hAPP(hAPP(c_Set_Oinsert(_u4845), _u4847), _u4846)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4845), _u4847), c_Big__Operators_Olattice__class_OInf__fin(_u4845, _u4846))) )).
% 12.29/12.52 cnf(matrix-2442, plain, ( ~class_Lattices_Olattice(_u4848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4848), _u4849)) | ( _u4850 = c_Orderings_Obot__class_Obot(tc_fun(_u4848, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4848, tc_HOL_Obool)), _u4850), _u4849)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4848), c_Big__Operators_Olattice__class_OInf__fin(_u4848, _u4850)), c_Big__Operators_Olattice__class_OInf__fin(_u4848, _u4849)) = c_Big__Operators_Olattice__class_OInf__fin(_u4848, _u4849)) )).
% 12.29/12.52 cnf(matrix-2443, plain, ( ~class_Lattices_Olattice(_u4851) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4851), _u4852)) | ( _u4852 = c_Orderings_Obot__class_Obot(tc_fun(_u4851, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4851), _u4853)) | ( _u4853 = c_Orderings_Obot__class_Obot(tc_fun(_u4851, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4851, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4851, tc_HOL_Obool)), _u4852), _u4853)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4851), c_Big__Operators_Olattice__class_OInf__fin(_u4851, _u4852)), c_Big__Operators_Olattice__class_OInf__fin(_u4851, _u4853))) )).
% 12.29/12.52 cnf(matrix-2444, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4855), _u4860)) | hBOOL(hAPP(hAPP(c_member(_u4855), _u4861), _u4860)) | ( hAPP(_u4859, hAPP(hAPP(c_Set_Oinsert(_u4855), _u4861), _u4860)) = hAPP(hAPP(_u4856, hAPP(_u4858, _u4861)), hAPP(_u4859, _u4860))) | ~c_Finite__Set_Ofolding__image__simple(_u4854, _u4855, _u4856, _u4857, _u4858, _u4859) )).
% 12.29/12.52 cnf(matrix-2445, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4863), _u4868)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4863), _u4869)) | ( hAPP(hAPP(_u4864, hAPP(_u4867, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4863, tc_HOL_Obool)), _u4868), _u4869))), hAPP(_u4867, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4863, tc_HOL_Obool)), _u4868), _u4869))) = hAPP(hAPP(_u4864, hAPP(_u4867, _u4868)), hAPP(_u4867, _u4869))) | ~c_Finite__Set_Ofolding__image__simple(_u4862, _u4863, _u4864, _u4865, _u4866, _u4867) )).
% 12.29/12.52 cnf(matrix-2446, plain, ( ~class_Lattices_Olattice(_u4870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4870), _u4871)) | hBOOL(hAPP(hAPP(c_member(_u4870), _u4872), _u4871)) | ( _u4871 = c_Orderings_Obot__class_Obot(tc_fun(_u4870, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4870, hAPP(hAPP(c_Set_Oinsert(_u4870), _u4872), _u4871)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4870), _u4872), c_Big__Operators_Olattice__class_OInf__fin(_u4870, _u4871))) )).
% 12.29/12.52 cnf(matrix-2447, plain, ( ~class_Lattices_Olattice(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4873, tc_HOL_Obool)), _u4874), hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4873, hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), _u4874)) = _u4875) )).
% 12.29/12.52 cnf(matrix-2448, plain, ( ~class_Lattices_Olattice(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4873, tc_HOL_Obool)), _u4874), hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4873, hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), _u4874)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4873), _u4875), c_Big__Operators_Olattice__class_OInf__fin(_u4873, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4873, tc_HOL_Obool)), _u4874), hAPP(hAPP(c_Set_Oinsert(_u4873), _u4875), c_Orderings_Obot__class_Obot(tc_fun(_u4873, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2449, plain, ( ~class_Lattices_Olattice(_u4876) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4876), _u4877)) | ( _u4877 = c_Orderings_Obot__class_Obot(tc_fun(_u4876, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4876), _u4878)) | ( _u4878 = c_Orderings_Obot__class_Obot(tc_fun(_u4876, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4876, tc_HOL_Obool)), _u4877), _u4878) != c_Orderings_Obot__class_Obot(tc_fun(_u4876, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u4876, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4876, tc_HOL_Obool)), _u4877), _u4878)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4876), c_Big__Operators_Olattice__class_OInf__fin(_u4876, _u4877)), c_Big__Operators_Olattice__class_OInf__fin(_u4876, _u4878))) )).
% 12.29/12.52 cnf(matrix-2450, plain, ( ~class_Lattices_Olattice(_u4879) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4879), _u4880)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4879), _u4881)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4879, tc_HOL_Obool)), _u4880), _u4881) = c_Orderings_Obot__class_Obot(tc_fun(_u4879, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4879), c_Big__Operators_Olattice__class_OInf__fin(_u4879, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4879, tc_HOL_Obool)), _u4880), _u4881))), c_Big__Operators_Olattice__class_OInf__fin(_u4879, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4879, tc_HOL_Obool)), _u4880), _u4881))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4879), c_Big__Operators_Olattice__class_OInf__fin(_u4879, _u4880)), c_Big__Operators_Olattice__class_OInf__fin(_u4879, _u4881))) )).
% 12.29/12.52 cnf(matrix-2451, plain, ( ~c_Finite__Set_Ofolding(_u4882, _u4883, _u4884, _u4885) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4882), _u4886)) | hBOOL(hAPP(hAPP(c_member(_u4882), _u4887), _u4886)) | ( hAPP(_u4885, hAPP(hAPP(c_Set_Oinsert(_u4882), _u4887), _u4886)) = hAPP(c_Fun_Ocomp(_u4883, _u4883, _u4883, hAPP(_u4885, _u4886)), hAPP(_u4884, _u4887))) )).
% 12.29/12.52 cnf(matrix-2452, plain, ( ~c_Finite__Set_Ofolding(_u4888, _u4889, _u4890, _u4891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4888), _u4892)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4888), _u4893)) | ( hAPP(c_Fun_Ocomp(_u4889, _u4889, _u4889, hAPP(_u4891, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4888, tc_HOL_Obool)), _u4892), _u4893))), hAPP(_u4891, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4888, tc_HOL_Obool)), _u4892), _u4893))) = hAPP(c_Fun_Ocomp(_u4889, _u4889, _u4889, hAPP(_u4891, _u4892)), hAPP(_u4891, _u4893))) )).
% 12.29/12.52 cnf(matrix-2453, plain, ( ~class_Lattices_Olattice(_u4896) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4896), _u4897)) | ( _u4897 = c_Orderings_Obot__class_Obot(tc_fun(_u4896, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4896), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4896), skolem90(_u4897, _u4896)), skolem91(_u4897, _u4896))), hAPP(hAPP(c_Set_Oinsert(_u4896), skolem90(_u4897, _u4896)), hAPP(hAPP(c_Set_Oinsert(_u4896), skolem91(_u4897, _u4896)), c_Orderings_Obot__class_Obot(tc_fun(_u4896, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4896), c_Big__Operators_Olattice__class_OInf__fin(_u4896, _u4897)), _u4897)) )).
% 12.29/12.52 cnf(matrix-2454, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4899, tc_HOL_Obool)), _u4900)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4899), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4899, tc_HOL_Obool), _u4900))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4899, tc_HOL_Obool)), skolem92(_u4900, _u4899)), _u4900)) )).
% 12.29/12.52 cnf(matrix-2455, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u4899, tc_HOL_Obool)), _u4900)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4899), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4899, tc_HOL_Obool), _u4900))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4899), skolem92(_u4900, _u4899))) )).
% 12.29/12.52 cnf(matrix-2456, plain, ( ~class_Lattices_Olattice(_u4901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4901), _u4902)) | ~hBOOL(hAPP(hAPP(c_member(_u4901), _u4903), _u4902)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4901, tc_HOL_Obool)), _u4902), hAPP(hAPP(c_Set_Oinsert(_u4901), _u4903), c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4901, _u4902) = _u4903) )).
% 12.29/12.52 cnf(matrix-2457, plain, ( ~class_Lattices_Olattice(_u4901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4901), _u4902)) | ~hBOOL(hAPP(hAPP(c_member(_u4901), _u4903), _u4902)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4901, tc_HOL_Obool)), _u4902), hAPP(hAPP(c_Set_Oinsert(_u4901), _u4903), c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4901, _u4902) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4901), _u4903), c_Big__Operators_Olattice__class_OSup__fin(_u4901, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4901, tc_HOL_Obool)), _u4902), hAPP(hAPP(c_Set_Oinsert(_u4901), _u4903), c_Orderings_Obot__class_Obot(tc_fun(_u4901, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2458, plain, ( ~c_Finite__Set_Ofolding__idem(_u4904, _u4905, _u4906, _u4907) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4904), _u4908)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4904), _u4909)) | ( hAPP(_u4907, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4904, tc_HOL_Obool)), _u4908), _u4909)) = hAPP(c_Fun_Ocomp(_u4905, _u4905, _u4905, hAPP(_u4907, _u4908)), hAPP(_u4907, _u4909))) )).
% 12.29/12.52 cnf(matrix-2459, plain, ( ~c_Finite__Set_Ofolding__idem(_u4910, _u4911, _u4912, _u4913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4910), _u4914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4910, tc_HOL_Obool)), _u4915), _u4914)) | ( hAPP(c_Fun_Ocomp(_u4911, _u4911, _u4911, hAPP(_u4913, _u4914)), hAPP(_u4913, _u4915)) = hAPP(_u4913, _u4914)) )).
% 12.29/12.52 cnf(matrix-2460, plain, ( ~c_Finite__Set_Ofolding__idem(_u4916, _u4917, _u4918, _u4919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4916), _u4920)) | ( hAPP(_u4919, hAPP(hAPP(c_Set_Oinsert(_u4916), _u4921), _u4920)) = hAPP(c_Fun_Ocomp(_u4917, _u4917, _u4917, hAPP(_u4919, _u4920)), hAPP(_u4918, _u4921))) )).
% 12.29/12.52 cnf(matrix-2461, plain, ( ~c_Finite__Set_Ofolding__one(_u4924, _u4925, _u4926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4924), _u4927)) | ( _u4927 = c_Orderings_Obot__class_Obot(tc_fun(_u4924, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4924), hAPP(hAPP(_u4925, skolem93(_u4927, _u4926, _u4925, _u4924)), skolem94(_u4927, _u4926, _u4925, _u4924))), hAPP(hAPP(c_Set_Oinsert(_u4924), skolem93(_u4927, _u4926, _u4925, _u4924)), hAPP(hAPP(c_Set_Oinsert(_u4924), skolem94(_u4927, _u4926, _u4925, _u4924)), c_Orderings_Obot__class_Obot(tc_fun(_u4924, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4924), hAPP(_u4926, _u4927)), _u4927)) )).
% 12.29/12.52 cnf(matrix-2462, plain, ( ~c_Finite__Set_Ofolding__idem(_u4928, _u4929, _u4930, _u4931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4928), _u4932)) | ~hBOOL(hAPP(hAPP(c_member(_u4928), _u4933), _u4932)) | ( hAPP(c_Fun_Ocomp(_u4929, _u4929, _u4929, hAPP(_u4931, _u4932)), hAPP(_u4930, _u4933)) = hAPP(_u4931, _u4932)) )).
% 12.29/12.52 cnf(matrix-2463, plain, ( ~class_Lattices_Olattice(_u4934) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4934, hAPP(hAPP(c_Set_Oinsert(_u4934), _u4935), c_Orderings_Obot__class_Obot(tc_fun(_u4934, tc_HOL_Obool)))) = _u4935) )).
% 12.29/12.52 cnf(matrix-2464, plain, ( ( hAPP(c_Fun_Ocomp(_u4937, _u4937, _u4940, hAPP(_u4938, _u4941)), hAPP(c_Fun_Ocomp(_u4937, _u4937, _u4940, hAPP(_u4938, _u4941)), _u4942)) = hAPP(c_Fun_Ocomp(_u4937, _u4937, _u4940, hAPP(_u4938, _u4941)), _u4942)) | ~c_Finite__Set_Ofolding__idem(_u4936, _u4937, _u4938, _u4939) )).
% 12.29/12.52 cnf(matrix-2465, plain, ( ( hAPP(c_Fun_Ocomp(_u4944, _u4944, _u4944, hAPP(_u4945, _u4947)), hAPP(_u4945, _u4947)) = hAPP(_u4945, _u4947)) | ~c_Finite__Set_Ofolding__idem(_u4943, _u4944, _u4945, _u4946) )).
% 12.29/12.52 cnf(matrix-2466, plain, ( ~class_Lattices_Olattice(_u4948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4948), _u4949)) | ~hBOOL(hAPP(hAPP(c_member(_u4948), _u4950), _u4949)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4948), _u4950), c_Big__Operators_Olattice__class_OSup__fin(_u4948, _u4949)) = c_Big__Operators_Olattice__class_OSup__fin(_u4948, _u4949)) )).
% 12.29/12.52 cnf(matrix-2467, plain, ( ~class_Lattices_Olattice(_u4951) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4951), _u4952)) | ~hBOOL(hAPP(hAPP(c_member(_u4951), _u4953), _u4952)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4951), _u4953), c_Big__Operators_Olattice__class_OSup__fin(_u4951, _u4952)) = _u4953) )).
% 12.29/12.52 cnf(matrix-2468, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u4954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4954), _u4955)) | ( _u4955 = c_Orderings_Obot__class_Obot(tc_fun(_u4954, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4954, _u4955) = c_Complete__Lattice_OSup__class_OSup(_u4954, _u4955)) )).
% 12.29/12.52 cnf(matrix-2469, plain, ( ~class_Lattices_Olattice(_u4956) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4956), _u4957)) | ( _u4957 = c_Orderings_Obot__class_Obot(tc_fun(_u4956, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4956, hAPP(hAPP(c_Set_Oinsert(_u4956), _u4958), _u4957)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4956), _u4958), c_Big__Operators_Olattice__class_OSup__fin(_u4956, _u4957))) )).
% 12.29/12.52 cnf(matrix-2470, plain, ( ~class_Lattices_Olattice(_u4959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4959), _u4960)) | ( _u4961 = c_Orderings_Obot__class_Obot(tc_fun(_u4959, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4959, tc_HOL_Obool)), _u4961), _u4960)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4959), c_Big__Operators_Olattice__class_OSup__fin(_u4959, _u4961)), c_Big__Operators_Olattice__class_OSup__fin(_u4959, _u4960)) = c_Big__Operators_Olattice__class_OSup__fin(_u4959, _u4960)) )).
% 12.29/12.52 cnf(matrix-2471, plain, ( ~class_Lattices_Olattice(_u4962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4962), _u4963)) | ( _u4963 = c_Orderings_Obot__class_Obot(tc_fun(_u4962, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4962), _u4964)) | ( _u4964 = c_Orderings_Obot__class_Obot(tc_fun(_u4962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4962, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4962, tc_HOL_Obool)), _u4963), _u4964)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4962), c_Big__Operators_Olattice__class_OSup__fin(_u4962, _u4963)), c_Big__Operators_Olattice__class_OSup__fin(_u4962, _u4964))) )).
% 12.29/12.52 cnf(matrix-2472, plain, ( ~class_Lattices_Olattice(_u4965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4965), _u4966)) | ( _u4966 = c_Orderings_Obot__class_Obot(tc_fun(_u4965, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4965), c_Big__Operators_Olattice__class_OInf__fin(_u4965, _u4966)), c_Big__Operators_Olattice__class_OSup__fin(_u4965, _u4966))) )).
% 12.29/12.52 cnf(matrix-2473, plain, ( ~class_Lattices_Olattice(_u4967) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4967), _u4968)) | hBOOL(hAPP(hAPP(c_member(_u4967), _u4969), _u4968)) | ( _u4968 = c_Orderings_Obot__class_Obot(tc_fun(_u4967, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4967, hAPP(hAPP(c_Set_Oinsert(_u4967), _u4969), _u4968)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4967), _u4969), c_Big__Operators_Olattice__class_OSup__fin(_u4967, _u4968))) )).
% 12.29/12.52 cnf(matrix-2474, plain, ( ~class_Lattices_Olattice(_u4970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4970), _u4971)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4970, tc_HOL_Obool)), _u4971), hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4970, hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), _u4971)) = _u4972) )).
% 12.29/12.52 cnf(matrix-2475, plain, ( ~class_Lattices_Olattice(_u4970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4970), _u4971)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4970, tc_HOL_Obool)), _u4971), hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4970, hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), _u4971)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4970), _u4972), c_Big__Operators_Olattice__class_OSup__fin(_u4970, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4970, tc_HOL_Obool)), _u4971), hAPP(hAPP(c_Set_Oinsert(_u4970), _u4972), c_Orderings_Obot__class_Obot(tc_fun(_u4970, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2476, plain, ( ~class_Lattices_Olattice(_u4973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4973), _u4974)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4973), _u4975)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4973, tc_HOL_Obool)), _u4974), _u4975) = c_Orderings_Obot__class_Obot(tc_fun(_u4973, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4973), c_Big__Operators_Olattice__class_OSup__fin(_u4973, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4973, tc_HOL_Obool)), _u4974), _u4975))), c_Big__Operators_Olattice__class_OSup__fin(_u4973, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4973, tc_HOL_Obool)), _u4974), _u4975))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4973), c_Big__Operators_Olattice__class_OSup__fin(_u4973, _u4974)), c_Big__Operators_Olattice__class_OSup__fin(_u4973, _u4975))) )).
% 12.29/12.52 cnf(matrix-2477, plain, ( ~class_Lattices_Olattice(_u4976) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4976), _u4977)) | ( _u4977 = c_Orderings_Obot__class_Obot(tc_fun(_u4976, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4976), _u4978)) | ( _u4978 = c_Orderings_Obot__class_Obot(tc_fun(_u4976, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4976, tc_HOL_Obool)), _u4977), _u4978) != c_Orderings_Obot__class_Obot(tc_fun(_u4976, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u4976, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4976, tc_HOL_Obool)), _u4977), _u4978)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4976), c_Big__Operators_Olattice__class_OSup__fin(_u4976, _u4977)), c_Big__Operators_Olattice__class_OSup__fin(_u4976, _u4978))) )).
% 12.29/12.52 cnf(matrix-2478, plain, ( ~class_Lattices_Olattice(_u4981) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4981), _u4982)) | ( _u4982 = c_Orderings_Obot__class_Obot(tc_fun(_u4981, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4981), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4981), skolem95(_u4982, _u4981)), skolem96(_u4982, _u4981))), hAPP(hAPP(c_Set_Oinsert(_u4981), skolem95(_u4982, _u4981)), hAPP(hAPP(c_Set_Oinsert(_u4981), skolem96(_u4982, _u4981)), c_Orderings_Obot__class_Obot(tc_fun(_u4981, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4981), c_Big__Operators_Olattice__class_OSup__fin(_u4981, _u4982)), _u4982)) )).
% 12.29/12.52 cnf(matrix-2479, plain, ( ~class_Lattices_Olattice(_u4985) | ( hAPP(_u4986, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4985), skolem97(_u4987, _u4986, _u4985)), skolem98(_u4987, _u4986, _u4985))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4985), hAPP(_u4986, skolem97(_u4987, _u4986, _u4985))), hAPP(_u4986, skolem98(_u4987, _u4986, _u4985)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4985), _u4987)) | ( _u4987 = c_Orderings_Obot__class_Obot(tc_fun(_u4985, tc_HOL_Obool))) | ( hAPP(_u4986, c_Big__Operators_Olattice__class_OInf__fin(_u4985, _u4987)) = c_Big__Operators_Olattice__class_OInf__fin(_u4985, hAPP(c_Set_Oimage(_u4985, _u4985, _u4986), _u4987))) )).
% 12.29/12.52 cnf(matrix-2480, plain, ( ~class_Lattices_Olattice(_u4990) | ( hAPP(_u4991, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4990), skolem99(_u4992, _u4991, _u4990)), skolem100(_u4992, _u4991, _u4990))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4990), hAPP(_u4991, skolem99(_u4992, _u4991, _u4990))), hAPP(_u4991, skolem100(_u4992, _u4991, _u4990)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4990), _u4992)) | ( _u4992 = c_Orderings_Obot__class_Obot(tc_fun(_u4990, tc_HOL_Obool))) | ( hAPP(_u4991, c_Big__Operators_Olattice__class_OSup__fin(_u4990, _u4992)) = c_Big__Operators_Olattice__class_OSup__fin(_u4990, hAPP(c_Set_Oimage(_u4990, _u4990, _u4991), _u4992))) )).
% 12.29/12.52 cnf(matrix-2481, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), skolem102(_u4997, _u4996, _u4995))) )).
% 12.29/12.52 cnf(matrix-2482, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u4995), skolem101(_u4997, _u4996, _u4995)), skolem102(_u4997, _u4996, _u4995))) )).
% 12.29/12.52 cnf(matrix-2483, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | hBOOL(hAPP(_u4997, skolem102(_u4997, _u4996, _u4995))) )).
% 12.29/12.52 cnf(matrix-2484, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4995), _u4996)) | ~hBOOL(hAPP(_u4997, _u4996)) | hBOOL(hAPP(_u4997, c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u4997, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4995, tc_HOL_Obool)), skolem102(_u4997, _u4996, _u4995)), hAPP(hAPP(c_Set_Oinsert(_u4995), skolem101(_u4997, _u4996, _u4995)), c_Orderings_Obot__class_Obot(tc_fun(_u4995, tc_HOL_Obool)))))) )).
% 12.29/12.52 cnf(matrix-2485, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u4998, _u4999, _u5000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4998), _u5001)) | ( _u5001 = c_Orderings_Obot__class_Obot(tc_fun(_u4998, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4998), _u5002)) | ( _u5002 = c_Orderings_Obot__class_Obot(tc_fun(_u4998, tc_HOL_Obool))) | ( hAPP(_u5000, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4998, tc_HOL_Obool)), _u5001), _u5002)) = hAPP(hAPP(_u4999, hAPP(_u5000, _u5001)), hAPP(_u5000, _u5002))) )).
% 12.29/12.52 cnf(matrix-2486, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), skolem104(_u5008, _u5007, _u5006, _u5005))) )).
% 12.29/12.52 cnf(matrix-2487, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | hBOOL(hAPP(hAPP(c_member(_u5005), skolem103(_u5008, _u5007, _u5006, _u5005)), _u5007)) )).
% 12.29/12.52 cnf(matrix-2488, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | ~hBOOL(hAPP(hAPP(c_member(_u5005), skolem103(_u5008, _u5007, _u5006, _u5005)), skolem104(_u5008, _u5007, _u5006, _u5005))) )).
% 12.29/12.52 cnf(matrix-2489, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | hBOOL(hAPP(_u5008, skolem104(_u5008, _u5007, _u5006, _u5005))) )).
% 12.29/12.52 cnf(matrix-2490, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5005), _u5006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5005, tc_HOL_Obool)), _u5006), _u5007)) | ~hBOOL(hAPP(_u5008, c_Orderings_Obot__class_Obot(tc_fun(_u5005, tc_HOL_Obool)))) | hBOOL(hAPP(_u5008, _u5006)) | ~hBOOL(hAPP(_u5008, hAPP(hAPP(c_Set_Oinsert(_u5005), skolem103(_u5008, _u5007, _u5006, _u5005)), skolem104(_u5008, _u5007, _u5006, _u5005)))) )).
% 12.29/12.52 cnf(matrix-2491, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5009, _u5010, _u5011) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5009), _u5012)) | ( _u5013 = c_Orderings_Obot__class_Obot(tc_fun(_u5009, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5009, tc_HOL_Obool)), _u5013), _u5012)) | ( hAPP(hAPP(_u5010, hAPP(_u5011, _u5013)), hAPP(_u5011, _u5012)) = hAPP(_u5011, _u5012)) )).
% 12.29/12.52 cnf(matrix-2492, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5014, _u5015, _u5016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5014), _u5017)) | ( _u5017 = c_Orderings_Obot__class_Obot(tc_fun(_u5014, tc_HOL_Obool))) | ( hAPP(_u5016, hAPP(hAPP(c_Set_Oinsert(_u5014), _u5018), _u5017)) = hAPP(hAPP(_u5015, _u5018), hAPP(_u5016, _u5017))) )).
% 12.29/12.52 cnf(matrix-2493, plain, ( ( hAPP(hAPP(_u5020, _u5022), _u5022) = _u5022) | ~c_Finite__Set_Ofolding__one__idem(_u5019, _u5020, _u5021) )).
% 12.29/12.52 cnf(matrix-2494, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5023, _u5024, _u5025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5023), _u5026)) | ~hBOOL(hAPP(hAPP(c_member(_u5023), _u5027), _u5026)) | ( hAPP(hAPP(_u5024, _u5027), hAPP(_u5025, _u5026)) = hAPP(_u5025, _u5026)) )).
% 12.29/12.52 cnf(matrix-2495, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5028), _u5029)) | ( hAPP(c_Set_Oimage(_u5028, _u5030, _u5031), _u5029) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u5030, tc_HOL_Obool), _u5028, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5030, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u5028, tc_fun(_u5030, tc_HOL_Obool), tc_fun(_u5030, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u5030, tc_fun(tc_fun(_u5030, tc_HOL_Obool), tc_fun(_u5030, tc_HOL_Obool)), _u5028), c_Set_Oinsert(_u5030)), _u5031)), c_Orderings_Obot__class_Obot(tc_fun(_u5030, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u5030, tc_HOL_Obool))), _u5029)) )).
% 12.29/12.52 cnf(matrix-2496, plain, ( ~class_Groups_Oab__semigroup__mult(_u5032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5032), _u5033)) | ( _u5033 = c_Orderings_Obot__class_Obot(tc_fun(_u5032, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5032), _u5034)) | ( _u5034 = c_Orderings_Obot__class_Obot(tc_fun(_u5032, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5032, tc_HOL_Obool)), _u5033), _u5034) != c_Orderings_Obot__class_Obot(tc_fun(_u5032, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5032, c_Groups_Otimes__class_Otimes(_u5032)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5032, tc_HOL_Obool)), _u5033), _u5034)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5032), hAPP(c_Finite__Set_Ofold1(_u5032, c_Groups_Otimes__class_Otimes(_u5032)), _u5033)), hAPP(c_Finite__Set_Ofold1(_u5032, c_Groups_Otimes__class_Otimes(_u5032)), _u5034))) )).
% 12.29/12.52 cnf(matrix-2497, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u5037, _u5038, _u5039) | ( hAPP(_u5040, hAPP(hAPP(_u5038, skolem105(_u5041, _u5040, _u5039, _u5038, _u5037)), skolem106(_u5041, _u5040, _u5039, _u5038, _u5037))) != hAPP(hAPP(_u5038, hAPP(_u5040, skolem105(_u5041, _u5040, _u5039, _u5038, _u5037))), hAPP(_u5040, skolem106(_u5041, _u5040, _u5039, _u5038, _u5037)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5037), _u5041)) | ( _u5041 = c_Orderings_Obot__class_Obot(tc_fun(_u5037, tc_HOL_Obool))) | ( hAPP(_u5040, hAPP(_u5039, _u5041)) = hAPP(_u5039, hAPP(c_Set_Oimage(_u5037, _u5037, _u5040), _u5041))) )).
% 12.29/12.52 cnf(matrix-2498, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5043, _u5044, _u5045, _u5046, _u5047, _u5048) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5049)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5050)) | ( hAPP(_u5048, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5044, tc_HOL_Obool)), _u5049), _u5050)) = hAPP(hAPP(_u5045, hAPP(_u5048, _u5049)), hAPP(_u5048, _u5050))) | hBOOL(hAPP(hAPP(c_member(_u5044), skolem107(_u5050, _u5049, _u5048, _u5047, _u5046, _u5045, _u5044)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5044, tc_HOL_Obool)), _u5049), _u5050))) )).
% 12.29/12.52 cnf(matrix-2499, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5043, _u5044, _u5045, _u5046, _u5047, _u5048) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5049)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5044), _u5050)) | ( hAPP(_u5048, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5044, tc_HOL_Obool)), _u5049), _u5050)) = hAPP(hAPP(_u5045, hAPP(_u5048, _u5049)), hAPP(_u5048, _u5050))) | ( hAPP(_u5047, skolem107(_u5050, _u5049, _u5048, _u5047, _u5046, _u5045, _u5044)) != _u5046) )).
% 12.29/12.52 cnf(matrix-2500, plain, ( ~class_Groups_Oab__semigroup__mult(_u5051) | ( _u5052 = c_Orderings_Obot__class_Obot(tc_fun(_u5051, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5051), _u5052)) | hBOOL(hAPP(hAPP(c_member(_u5051), _u5053), _u5052)) | ( hAPP(c_Finite__Set_Ofold1(_u5051, c_Groups_Otimes__class_Otimes(_u5051)), hAPP(hAPP(c_Set_Oinsert(_u5051), _u5053), _u5052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5051), _u5053), hAPP(c_Finite__Set_Ofold1(_u5051, c_Groups_Otimes__class_Otimes(_u5051)), _u5052))) )).
% 12.29/12.52 cnf(matrix-2501, plain, ( ~class_Groups_Oab__semigroup__mult(_u5054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5055), _u5056)) | ~c_Fun_Oinj__on(_u5055, _u5057, _u5058, _u5056) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5054, _u5057, c_Groups_Otimes__class_Otimes(_u5054)), _u5059), _u5060), hAPP(c_Set_Oimage(_u5055, _u5057, _u5058), _u5056)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5054, _u5055, c_Groups_Otimes__class_Otimes(_u5054)), hAPP(c_Fun_Ocomp(_u5057, _u5054, _u5055, _u5059), _u5058)), _u5060), _u5056)) )).
% 12.29/12.52 cnf(matrix-2502, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5062), _u5063)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5064), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5062, tc_fun(_u5064, tc_HOL_Obool)), _u5063), _u5065))) | hBOOL(hAPP(hAPP(c_member(_u5062), skolem108(_u5065, _u5064, _u5063, _u5062)), _u5063)) )).
% 12.29/12.52 cnf(matrix-2503, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5062), _u5063)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5064), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u5062, tc_fun(_u5064, tc_HOL_Obool)), _u5063), _u5065))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5064), hAPP(_u5065, skolem108(_u5065, _u5064, _u5063, _u5062)))) )).
% 12.29/12.52 cnf(matrix-2504, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5066, _u5067, _u5068), _u5069), _u5070), c_Orderings_Obot__class_Obot(tc_fun(_u5067, tc_HOL_Obool))) = _u5070) )).
% 12.29/12.52 cnf(matrix-2505, plain, ( ( _u5071 != c_Finite__Set_Ofold1(_u5072, _u5073)) | ( hAPP(_u5071, hAPP(hAPP(c_Set_Oinsert(_u5072), _u5074), c_Orderings_Obot__class_Obot(tc_fun(_u5072, tc_HOL_Obool)))) = _u5074) )).
% 12.29/12.52 cnf(matrix-2506, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u5075, _u5076), hAPP(hAPP(c_Set_Oinsert(_u5075), _u5077), c_Orderings_Obot__class_Obot(tc_fun(_u5075, tc_HOL_Obool)))) = _u5077) )).
% 12.29/12.52 cnf(matrix-2507, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u5078, _u5079, _u5080, _u5081, _u5082, _u5083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5079), _u5084)) | ( hAPP(_u5083, _u5084) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5078, _u5079, _u5080), _u5082), _u5081), _u5084)) )).
% 12.29/12.52 cnf(matrix-2508, plain, ( ~c_Finite__Set_Ofolding__image(_u5085, _u5086, _u5087, _u5088, _u5089) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5086), _u5090)) | ( hAPP(hAPP(_u5089, _u5091), _u5090) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5085, _u5086, _u5087), _u5091), _u5088), _u5090)) )).
% 12.29/12.52 cnf(matrix-2509, plain, ( ~c_Finite__Set_Ofolding__one(_u5092, _u5093, _u5094) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5092), _u5095)) | ( hAPP(_u5094, _u5095) = hAPP(c_Finite__Set_Ofold1(_u5092, _u5093), _u5095)) )).
% 12.29/12.52 cnf(matrix-2510, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u5096, _u5097), _u5098) = c_HOL_OThe(_u5096, c_Finite__Set_Ofold1Set(_u5096, _u5097, _u5098))) )).
% 12.29/12.52 cnf(matrix-2511, plain, ( ~class_Lattices_Olattice(_u5099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5099), _u5100)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u5099, _u5100) = hAPP(c_Finite__Set_Ofold1(_u5099, c_Lattices_Osemilattice__sup__class_Osup(_u5099)), _u5100)) )).
% 12.29/12.52 cnf(matrix-2512, plain, ( ~class_Lattices_Olattice(_u5101) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5101), _u5102)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u5101, _u5102) = hAPP(c_Finite__Set_Ofold1(_u5101, c_Lattices_Osemilattice__inf__class_Oinf(_u5101)), _u5102)) )).
% 12.29/12.52 cnf(matrix-2513, plain, ( ~class_Groups_Oab__semigroup__mult(_u5103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5104), _u5105)) | hBOOL(hAPP(hAPP(c_member(_u5104), _u5106), _u5105)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5103, _u5104, c_Groups_Otimes__class_Otimes(_u5103)), _u5107), _u5108), hAPP(hAPP(c_Set_Oinsert(_u5104), _u5106), _u5105)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5103), hAPP(_u5107, _u5106)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5103, _u5104, c_Groups_Otimes__class_Otimes(_u5103)), _u5107), _u5108), _u5105))) )).
% 12.29/12.52 cnf(matrix-2514, plain, ( ~class_Lattices_Osemilattice__inf(_u5109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5109), _u5110)) | ~hBOOL(hAPP(hAPP(c_member(_u5109), _u5111), _u5110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5109), hAPP(c_Finite__Set_Ofold1(_u5109, c_Lattices_Osemilattice__inf__class_Oinf(_u5109)), _u5110)), _u5111)) )).
% 12.29/12.52 cnf(matrix-2515, plain, ( ~class_Lattices_Osemilattice__inf(_u5114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5114), _u5115)) | ( _u5115 = c_Orderings_Obot__class_Obot(tc_fun(_u5114, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), hAPP(c_Finite__Set_Ofold1(_u5114, c_Lattices_Osemilattice__inf__class_Oinf(_u5114)), _u5115))) | ~hBOOL(hAPP(hAPP(c_member(_u5114), _u5112), _u5115)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), _u5112)) )).
% 12.29/12.52 cnf(matrix-2516, plain, ( ~class_Lattices_Osemilattice__inf(_u5114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5114), _u5115)) | ( _u5115 = c_Orderings_Obot__class_Obot(tc_fun(_u5114, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), hAPP(c_Finite__Set_Ofold1(_u5114, c_Lattices_Osemilattice__inf__class_Oinf(_u5114)), _u5115))) | hBOOL(hAPP(hAPP(c_member(_u5114), skolem109(_u5116, _u5115, _u5114)), _u5115)) )).
% 12.29/12.52 cnf(matrix-2517, plain, ( ~class_Lattices_Osemilattice__inf(_u5114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5114), _u5115)) | ( _u5115 = c_Orderings_Obot__class_Obot(tc_fun(_u5114, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), hAPP(c_Finite__Set_Ofold1(_u5114, c_Lattices_Osemilattice__inf__class_Oinf(_u5114)), _u5115))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5114), _u5116), skolem109(_u5116, _u5115, _u5114))) )).
% 12.29/12.52 cnf(matrix-2518, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5117) | ( _u5118 = c_Orderings_Obot__class_Obot(tc_fun(_u5117, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5117), _u5118)) | ( hAPP(c_Finite__Set_Ofold1(_u5117, c_Groups_Otimes__class_Otimes(_u5117)), hAPP(hAPP(c_Set_Oinsert(_u5117), _u5119), _u5118)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5117), _u5119), hAPP(c_Finite__Set_Ofold1(_u5117, c_Groups_Otimes__class_Otimes(_u5117)), _u5118))) )).
% 12.29/12.52 cnf(matrix-2519, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5120), _u5121)) | ( _u5121 = c_Orderings_Obot__class_Obot(tc_fun(_u5120, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5120), _u5122)) | ( _u5122 = c_Orderings_Obot__class_Obot(tc_fun(_u5120, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u5120, c_Groups_Otimes__class_Otimes(_u5120)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5120, tc_HOL_Obool)), _u5121), _u5122)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5120), hAPP(c_Finite__Set_Ofold1(_u5120, c_Groups_Otimes__class_Otimes(_u5120)), _u5121)), hAPP(c_Finite__Set_Ofold1(_u5120, c_Groups_Otimes__class_Otimes(_u5120)), _u5122))) )).
% 12.29/12.52 cnf(matrix-2520, plain, ( ~c_Big__Operators_Osemilattice__big(_u5123, _u5124, _u5125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5123), _u5126)) | ( hAPP(_u5125, _u5126) = hAPP(c_Finite__Set_Ofold1(_u5123, _u5124), _u5126)) )).
% 12.29/12.52 cnf(matrix-2521, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u5127, _u5128, _u5129, _u5130, _u5131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5128), _u5132)) | ( hAPP(hAPP(_u5131, _u5133), _u5132) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5127, _u5128, _u5129), _u5133), _u5130), _u5132)) )).
% 12.29/12.52 cnf(matrix-2522, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u5127, _u5128, _u5129, _u5130, _u5131) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u5128), _u5132)) | ( hAPP(hAPP(_u5131, _u5133), _u5132) = _u5130) )).
% 12.29/12.52 cnf(matrix-2523, plain, ( ~class_Groups_Oab__semigroup__mult(_u5136) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5136), _u5137)) | ( _u5137 = c_Orderings_Obot__class_Obot(tc_fun(_u5136, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u5136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5136), skolem110(_u5137, _u5136)), skolem111(_u5137, _u5136))), hAPP(hAPP(c_Set_Oinsert(_u5136), skolem110(_u5137, _u5136)), hAPP(hAPP(c_Set_Oinsert(_u5136), skolem111(_u5137, _u5136)), c_Orderings_Obot__class_Obot(tc_fun(_u5136, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u5136), hAPP(c_Finite__Set_Ofold1(_u5136, c_Groups_Otimes__class_Otimes(_u5136)), _u5137)), _u5137)) )).
% 12.29/12.52 cnf(matrix-2524, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u5140) | ( hAPP(_u5141, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5140), skolem112(_u5142, _u5141, _u5140)), skolem113(_u5142, _u5141, _u5140))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5140), hAPP(_u5141, skolem112(_u5142, _u5141, _u5140))), hAPP(_u5141, skolem113(_u5142, _u5141, _u5140)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5140), _u5142)) | ( _u5142 = c_Orderings_Obot__class_Obot(tc_fun(_u5140, tc_HOL_Obool))) | ( hAPP(_u5141, hAPP(c_Finite__Set_Ofold1(_u5140, c_Groups_Otimes__class_Otimes(_u5140)), _u5142)) = hAPP(c_Finite__Set_Ofold1(_u5140, c_Groups_Otimes__class_Otimes(_u5140)), hAPP(c_Set_Oimage(_u5140, _u5140, _u5141), _u5142))) )).
% 12.29/12.52 cnf(matrix-2525, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5144), _u5145)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5144), _u5146)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5144, tc_HOL_Obool)), _u5145), _u5146) != c_Orderings_Obot__class_Obot(tc_fun(_u5144, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5143, _u5144, c_Groups_Otimes__class_Otimes(_u5143)), _u5147), c_Groups_Oone__class_Oone(_u5143)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5144, tc_HOL_Obool)), _u5145), _u5146)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5143), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5143, _u5144, c_Groups_Otimes__class_Otimes(_u5143)), _u5147), c_Groups_Oone__class_Oone(_u5143)), _u5145)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5143, _u5144, c_Groups_Otimes__class_Otimes(_u5143)), _u5147), c_Groups_Oone__class_Oone(_u5143)), _u5146))) )).
% 12.29/12.52 cnf(matrix-2526, plain, ( ~class_Groups_Oab__group__add(_u5148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5149), _u5150)) | ~hBOOL(hAPP(hAPP(c_member(_u5149), _u5151), _u5150)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5149, tc_HOL_Obool)), _u5150), hAPP(hAPP(c_Set_Oinsert(_u5149), _u5151), c_Orderings_Obot__class_Obot(tc_fun(_u5149, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5148), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), _u5150)), hAPP(_u5152, _u5151))) )).
% 12.29/12.52 cnf(matrix-2527, plain, ( ~class_Groups_Oab__group__add(_u5148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5149), _u5150)) | hBOOL(hAPP(hAPP(c_member(_u5149), _u5151), _u5150)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5149, tc_HOL_Obool)), _u5150), hAPP(hAPP(c_Set_Oinsert(_u5149), _u5151), c_Orderings_Obot__class_Obot(tc_fun(_u5149, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5149, _u5148), _u5152), _u5150)) )).
% 12.29/12.52 cnf(matrix-2528, plain, ( ~class_Rings_Oring(_u5153) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5154), _u5155)) | ~hBOOL(hAPP(hAPP(c_member(_u5154), _u5156), _u5155)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5154, _u5153), _u5157), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5154, tc_HOL_Obool)), _u5155), hAPP(hAPP(c_Set_Oinsert(_u5154), _u5156), c_Orderings_Obot__class_Obot(tc_fun(_u5154, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5153), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5154, _u5153), _u5157), _u5155)), hAPP(_u5157, _u5156))) )).
% 12.29/12.52 cnf(matrix-2529, plain, ( ~class_Groups_Oone(_u5158) | ( c_Groups_Oone__class_Oone(_u5158) != _u5159) | ( _u5159 = c_Groups_Oone__class_Oone(_u5158)) )).
% 12.29/12.52 cnf(matrix-2530, plain, ( ~class_Groups_Oone(_u5158) | ( _u5159 != c_Groups_Oone__class_Oone(_u5158)) | ( c_Groups_Oone__class_Oone(_u5158) = _u5159) )).
% 12.29/12.52 cnf(matrix-2531, plain, ( ~class_Groups_Ocomm__monoid__add(_u5160) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5161, _u5160), hAPP(hAPP(c_COMBC(_u5161, tc_fun(_u5162, tc_HOL_Obool), _u5160), hAPP(hAPP(c_COMBB(tc_fun(_u5162, _u5160), tc_fun(tc_fun(_u5162, tc_HOL_Obool), _u5160), _u5161), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5162, _u5160)), _u5163)), _u5164)), _u5165) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5162, _u5160), hAPP(hAPP(c_COMBC(_u5162, tc_fun(_u5161, tc_HOL_Obool), _u5160), hAPP(hAPP(c_COMBB(tc_fun(_u5161, _u5160), tc_fun(tc_fun(_u5161, tc_HOL_Obool), _u5160), _u5162), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5161, _u5160)), hAPP(c_COMBC(_u5161, _u5162, _u5160), _u5163))), _u5165)), _u5164)) )).
% 12.29/12.52 cnf(matrix-2532, plain, ( ~class_Groups_Oab__group__add(_u5166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5167), _u5168)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5168), _u5169)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5166), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5166), _u5170), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5167), _u5169))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5166), _u5170), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5167), _u5168))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5166), _u5170), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5168), _u5169))) )).
% 12.29/12.52 cnf(matrix-2533, plain, ( ~class_Groups_Omonoid__mult(_u5171) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5171), c_Groups_Oone__class_Oone(_u5171)), _u5172) = _u5172) )).
% 12.29/12.52 cnf(matrix-2534, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5173) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5173), c_Groups_Oone__class_Oone(_u5173)), _u5174) = _u5174) )).
% 12.29/12.52 cnf(matrix-2535, plain, ( ~class_Groups_Omonoid__mult(_u5175) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5175), _u5176), c_Groups_Oone__class_Oone(_u5175)) = _u5176) )).
% 12.29/12.52 cnf(matrix-2536, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5177) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5177), _u5178), c_Groups_Oone__class_Oone(_u5177)) = _u5178) )).
% 12.29/12.52 cnf(matrix-2537, plain, ( ~class_Rings_Osemiring__0(_u5179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5179), _u5180), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5181, _u5179), _u5182), _u5183)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5181, _u5179), hAPP(hAPP(c_COMBB(_u5179, _u5179, _u5181), hAPP(c_Groups_Otimes__class_Otimes(_u5179), _u5180)), _u5182)), _u5183)) )).
% 12.29/12.52 cnf(matrix-2538, plain, ( ~class_Rings_Osemiring__0(_u5184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5184), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5185, _u5184), _u5186), _u5187)), _u5188) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5185, _u5184), hAPP(hAPP(c_COMBC(_u5185, _u5184, _u5184), hAPP(hAPP(c_COMBB(_u5184, tc_fun(_u5184, _u5184), _u5185), c_Groups_Otimes__class_Otimes(_u5184)), _u5186)), _u5188)), _u5187)) )).
% 12.29/12.52 cnf(matrix-2539, plain, ( ~class_Rings_Osemiring__0(_u5189) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5189), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5190, _u5189), _u5191), _u5192)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5193, _u5189), _u5194), _u5195)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5190, _u5189), hAPP(hAPP(c_COMBC(_u5190, tc_fun(_u5193, tc_HOL_Obool), _u5189), hAPP(hAPP(c_COMBB(tc_fun(_u5193, _u5189), tc_fun(tc_fun(_u5193, tc_HOL_Obool), _u5189), _u5190), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5193, _u5189)), hAPP(hAPP(c_COMBC(_u5190, tc_fun(_u5193, _u5189), tc_fun(_u5193, _u5189)), hAPP(hAPP(c_COMBB(tc_fun(_u5189, _u5189), tc_fun(tc_fun(_u5193, _u5189), tc_fun(_u5193, _u5189)), _u5190), c_COMBB(_u5189, _u5189, _u5193)), hAPP(hAPP(c_COMBB(_u5189, tc_fun(_u5189, _u5189), _u5190), c_Groups_Otimes__class_Otimes(_u5189)), _u5191))), _u5194))), _u5195)), _u5192)) )).
% 12.29/12.52 cnf(matrix-2540, plain, ( ~class_Groups_Oab__group__add(_u5196) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5197, _u5196), hAPP(hAPP(c_COMBS(_u5197, _u5196, _u5196), hAPP(hAPP(c_COMBB(_u5196, tc_fun(_u5196, _u5196), _u5197), c_Groups_Ominus__class_Ominus(_u5196)), _u5198)), _u5199)), _u5200) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5196), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5197, _u5196), _u5198), _u5200)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5197, _u5196), _u5199), _u5200))) )).
% 12.29/12.52 cnf(matrix-2541, plain, ( ~class_Groups_Oab__group__add(_u5201) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5202, _u5201), hAPP(hAPP(c_COMBB(_u5201, _u5201, _u5202), c_Groups_Ouminus__class_Ouminus(_u5201)), _u5203)), _u5204) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5201), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5202, _u5201), _u5203), _u5204))) )).
% 12.29/12.52 cnf(matrix-2542, plain, ( ~class_Rings_Olinordered__semidom(_u5205) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5205), c_Groups_Oone__class_Oone(_u5205)), _u5206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5205), c_Groups_Oone__class_Oone(_u5205)), _u5207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5205), c_Groups_Oone__class_Oone(_u5205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5205), _u5206), _u5207))) )).
% 12.29/12.52 cnf(matrix-2543, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5209) != c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 = c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5208), c_Groups_Oone__class_Oone(_u5208))) )).
% 12.29/12.52 cnf(matrix-2544, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5209) = c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 != c_Groups_Oone__class_Oone(_u5208)) )).
% 12.29/12.52 cnf(matrix-2545, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5208), _u5209), _u5209) = c_Groups_Oone__class_Oone(_u5208)) | ( _u5209 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5208), c_Groups_Oone__class_Oone(_u5208))) )).
% 12.29/12.52 cnf(matrix-2546, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5210), _u5211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5210, tc_HOL_Obool)), _u5211), _u5212)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5210, tc_Nat_Onat), _u5213), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5210, tc_HOL_Obool)), _u5212), _u5211)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5210, tc_Nat_Onat), _u5213), _u5212)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5210, tc_Nat_Onat), _u5213), _u5211))) )).
% 12.29/12.52 cnf(matrix-2547, plain, ( ~class_Groups_Ocomm__monoid__add(_u5214) | ~c_Fun_Oinj__on(_u5215, _u5216, _u5217, _u5218) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5216, _u5214), _u5219), hAPP(c_Set_Oimage(_u5215, _u5216, _u5217), _u5218)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5215, _u5214), hAPP(c_Fun_Ocomp(_u5216, _u5214, _u5215, _u5219), _u5217)), _u5218)) )).
% 12.29/12.52 cnf(matrix-2548, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5220) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5221), _u5222)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5220, _u5221, c_Groups_Otimes__class_Otimes(_u5220)), hAPP(hAPP(c_COMBS(_u5221, _u5220, _u5220), hAPP(hAPP(c_COMBB(_u5220, tc_fun(_u5220, _u5220), _u5221), c_Groups_Otimes__class_Otimes(_u5220)), _u5223)), _u5224)), c_Groups_Oone__class_Oone(_u5220)), _u5222) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5220), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5220, _u5221, c_Groups_Otimes__class_Otimes(_u5220)), _u5223), c_Groups_Oone__class_Oone(_u5220)), _u5222)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5220, _u5221, c_Groups_Otimes__class_Otimes(_u5220)), _u5224), c_Groups_Oone__class_Oone(_u5220)), _u5222))) )).
% 12.29/12.52 cnf(matrix-2549, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5229), _u5231), _u5233)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5229, tc_Nat_Onat), _u5235), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5229, tc_HOL_Obool)), _u5233), hAPP(hAPP(c_Set_Oinsert(_u5229), _u5231), c_Orderings_Obot__class_Obot(tc_fun(_u5229, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5229, tc_Nat_Onat), _u5235), _u5233)), hAPP(_u5235, _u5231))) )).
% 12.29/12.52 cnf(matrix-2550, plain, ( hBOOL(hAPP(hAPP(c_member(_u5230), _u5232), _u5234)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5230, tc_Nat_Onat), _u5236), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5230, tc_HOL_Obool)), _u5234), hAPP(hAPP(c_Set_Oinsert(_u5230), _u5232), c_Orderings_Obot__class_Obot(tc_fun(_u5230, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5230, tc_Nat_Onat), _u5236), _u5234)) )).
% 12.29/12.52 cnf(matrix-2551, plain, ( ~class_Groups_Oab__group__add(_u5237) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5238), _u5239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5238, tc_HOL_Obool)), _u5240), _u5239)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5238, _u5237), _u5241), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5238, tc_HOL_Obool)), _u5239), _u5240)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5237), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5238, _u5237), _u5241), _u5239)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5238, _u5237), _u5241), _u5240))) )).
% 12.29/12.52 cnf(matrix-2552, plain, ( ~class_Groups_Ocomm__monoid__add(_u5242) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5243), _u5244)) | ~c_Fun_Oinj__on(_u5243, _u5243, _u5245, _u5244) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5243, _u5242), _u5246), hAPP(c_Set_Oimage(_u5243, _u5243, _u5245), _u5244)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5243, _u5242), hAPP(c_Fun_Ocomp(_u5243, _u5242, _u5243, _u5246), _u5245)), _u5244)) )).
% 12.29/12.52 cnf(matrix-2553, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u5248), _u5252)) | ( hAPP(hAPP(_u5251, _u5253), _u5252) = _u5250) | ~c_Big__Operators_Ocomm__monoid__big(_u5247, _u5248, _u5249, _u5250, _u5251) )).
% 12.29/12.52 cnf(matrix-2554, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5254) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5255), _u5256)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5255), _u5257)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5254), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), _u5256)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), _u5257)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5254), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5255, tc_HOL_Obool)), _u5256), _u5257))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5254, _u5255, c_Groups_Otimes__class_Otimes(_u5254)), _u5258), c_Groups_Oone__class_Oone(_u5254)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5255, tc_HOL_Obool)), _u5256), _u5257)))) )).
% 12.29/12.52 cnf(matrix-2555, plain, ( ~class_Rings_Ocomm__ring__1(_u5259) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5260) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5259), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), c_Groups_Oone__class_Oone(_u5259))), _u5260)) )).
% 12.29/12.52 cnf(matrix-2556, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5263, tc_HOL_Obool)), _u5264), _u5265)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5262), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5264)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5265))) | hBOOL(hAPP(hAPP(c_member(_u5263), skolem114(_u5266, _u5265, _u5264, _u5263, _u5262)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5263, tc_HOL_Obool)), _u5264), _u5265))) )).
% 12.29/12.52 cnf(matrix-2557, plain, ( ~class_Groups_Ocomm__monoid__mult(_u5262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5264)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5263), _u5265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5263, tc_HOL_Obool)), _u5264), _u5265)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5262), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5264)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u5262, _u5263, c_Groups_Otimes__class_Otimes(_u5262)), _u5266), c_Groups_Oone__class_Oone(_u5262)), _u5265))) | ( hAPP(_u5266, skolem114(_u5266, _u5265, _u5264, _u5263, _u5262)) != c_Groups_Oone__class_Oone(_u5262)) )).
% 12.29/12.52 cnf(matrix-2558, plain, ( ~class_Rings_Ocomm__semiring__1(_u5267) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5267), c_Groups_Oone__class_Oone(_u5267)), _u5268) = _u5268) )).
% 12.29/12.52 cnf(matrix-2559, plain, ( ~class_Rings_Ocomm__semiring__1(_u5269) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5269), _u5270), c_Groups_Oone__class_Oone(_u5269)) = _u5270) )).
% 12.29/12.52 cnf(matrix-2560, plain, ( ~class_Groups_Ocomm__monoid__add(_u5272) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5272) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5273), _u5274)) | ( _u5274 = c_Orderings_Obot__class_Obot(tc_fun(_u5273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5275), _u5274)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5276), _u5274))) | hBOOL(hAPP(hAPP(c_member(_u5273), skolem115(_u5276, _u5275, _u5274, _u5273, _u5272)), _u5274)) )).
% 12.29/12.52 cnf(matrix-2561, plain, ( ~class_Groups_Ocomm__monoid__add(_u5272) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5272) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5273), _u5274)) | ( _u5274 = c_Orderings_Obot__class_Obot(tc_fun(_u5273, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5275), _u5274)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5273, _u5272), _u5276), _u5274))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), hAPP(_u5275, skolem115(_u5276, _u5275, _u5274, _u5273, _u5272))), hAPP(_u5276, skolem115(_u5276, _u5275, _u5274, _u5273, _u5272)))) )).
% 12.29/12.52 cnf(matrix-2562, plain, ( ~class_Groups_Ocomm__monoid__add(_u5277) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5278), _u5279)) | ~hBOOL(hAPP(hAPP(c_member(_u5278), _u5280), _u5279)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5278, _u5277), _u5281), _u5279) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5277), hAPP(_u5281, _u5280)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5278, _u5277), _u5281), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5278, tc_HOL_Obool)), _u5279), hAPP(hAPP(c_Set_Oinsert(_u5278), _u5280), c_Orderings_Obot__class_Obot(tc_fun(_u5278, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2563, plain, ( ~class_Groups_Ocomm__monoid__add(_u5282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5283), _u5284)) | ~hBOOL(hAPP(hAPP(c_member(_u5283), _u5285), _u5284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5283, _u5282), _u5286), _u5284) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5282), hAPP(_u5286, _u5285)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5283, _u5282), _u5286), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5283, tc_HOL_Obool)), _u5284), hAPP(hAPP(c_Set_Oinsert(_u5283), _u5285), c_Orderings_Obot__class_Obot(tc_fun(_u5283, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2564, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5287), _u5288))) )).
% 12.29/12.52 cnf(matrix-2565, plain, ( ~class_Groups_Ocomm__monoid__add(_u5289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5290), _u5291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5291), _u5292)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5289), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5289), _u5293), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5290), _u5291))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5289), _u5293), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5291), _u5292))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5289), _u5293), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5290), _u5292))) )).
% 12.29/12.52 cnf(matrix-2566, plain, ( ~class_Groups_Ocomm__monoid__add(_u5294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5294), _u5297), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5295, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), _u5298))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5294), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5294), _u5297), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5295, _u5296))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5294), _u5297), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5296), _u5298))))) )).
% 12.29/12.52 cnf(matrix-2567, plain, ( ~class_Groups_Ocomm__monoid__add(_u5299) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5299), _u5300), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5301), _u5302)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5303), _u5302))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5299), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5299, tc_Nat_Onat), _u5300), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5302))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5301), _u5303))) )).
% 12.29/12.52 cnf(matrix-2568, plain, ( ~class_Groups_Ocomm__monoid__add(_u5304) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5304), _u5305), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5306), _u5307), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5308), _u5307))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5304), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5304, tc_Nat_Onat), _u5305), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5307))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5306, _u5308))) )).
% 12.29/12.52 cnf(matrix-2569, plain, ( ~class_Groups_Ocomm__monoid__add(_u5309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5310), _u5311)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5309), _u5312), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5310, _u5311)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5309), hAPP(_u5312, _u5310)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5309), _u5312), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5310, _u5311)))) )).
% 12.29/12.52 cnf(matrix-2570, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5318)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5313), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5313), skolem116(_u5318))) )).
% 12.29/12.52 cnf(matrix-2571, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5319)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem117(_u5319, _u5316)), _u5319)) )).
% 12.29/12.52 cnf(matrix-2572, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5319)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem117(_u5319, _u5316)), _u5316)) )).
% 12.29/12.52 cnf(matrix-2573, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5324)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5322))) | ( _u5321 = _u5323) | ( _u5322 = _u5324) )).
% 12.29/12.52 cnf(matrix-2574, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5324)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5322))) | ( _u5321 != _u5323) )).
% 12.29/12.52 cnf(matrix-2575, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5324)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5321), _u5324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5320), _u5323), _u5322))) | ( _u5322 != _u5324) )).
% 12.29/12.52 cnf(matrix-2576, plain, ( ~class_Rings_Ocomm__semiring__1(_u5325) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), _u5326), _u5327)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), _u5328), _u5327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5325), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5325), _u5326), _u5328)), _u5327)) )).
% 12.29/12.52 cnf(matrix-2577, plain, ( ~class_Rings_Ocomm__semiring__1(_u5329) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5329), _u5330), _u5331)), _u5332) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5330), _u5332)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5329), _u5331), _u5332))) )).
% 12.29/12.52 cnf(matrix-2578, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5333) | ( _u5334 = _u5335) | ( _u5336 = _u5337) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5337)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5336))) )).
% 12.29/12.52 cnf(matrix-2579, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5333) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5337)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5336))) | ( _u5334 != _u5335) )).
% 12.29/12.52 cnf(matrix-2580, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u5333) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5336)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5337)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5334), _u5337)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5333), _u5335), _u5336))) | ( _u5336 != _u5337) )).
% 12.29/12.52 cnf(matrix-2581, plain, ( ~class_Rings_Ocomm__semiring__1(_u5338) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5338), _u5339), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5338), _u5340), _u5341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5338), _u5339), _u5340)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5338), _u5339), _u5341))) )).
% 12.29/12.52 cnf(matrix-2582, 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)), _u5342)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5343), _u5344)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5343), _u5342)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5344), _u5342))) )).
% 12.29/12.52 cnf(matrix-2583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5345), _u5346)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5345), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5346), _u5347)) = 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, _u5345), _u5346)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5346), _u5347)))) )).
% 12.29/12.52 cnf(matrix-2584, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5348) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5348), _u5349), _u5350) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5348), _u5351), _u5350)) | ( _u5349 = _u5351) )).
% 12.29/12.52 cnf(matrix-2585, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u5352) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5352), _u5353), _u5354) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5352), _u5353), _u5355)) | ( _u5354 = _u5355) )).
% 12.29/12.52 cnf(matrix-2586, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5356) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5356), _u5357), _u5358) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5356), _u5357), _u5359)) | ( _u5358 = _u5359) )).
% 12.29/12.52 cnf(matrix-2587, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5360) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5361), _u5362) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5363), _u5362)) | ( _u5361 = _u5363) )).
% 12.29/12.52 cnf(matrix-2588, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5360) | ( _u5361 != _u5363) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5361), _u5362) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5360), _u5363), _u5362)) )).
% 12.29/12.52 cnf(matrix-2589, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5364) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5366) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5367)) | ( _u5366 = _u5367) )).
% 12.29/12.52 cnf(matrix-2590, plain, ( ~class_Groups_Ocancel__semigroup__add(_u5364) | ( _u5366 != _u5367) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5366) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5364), _u5365), _u5367)) )).
% 12.29/12.52 cnf(matrix-2591, plain, ( ~class_Groups_Oab__semigroup__add(_u5368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), _u5369), _u5370)), _u5371) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), _u5369), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5368), _u5370), _u5371))) )).
% 12.29/12.52 cnf(matrix-2592, plain, ( ~class_Rings_Ocomm__semiring__1(_u5372) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5372), _u5373), _u5374) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5372), _u5374), _u5373)) )).
% 12.29/12.52 cnf(matrix-2593, plain, ( ~class_Rings_Ocomm__semiring__1(_u5375) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5376), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5377), _u5378)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5377), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5375), _u5376), _u5378))) )).
% 12.29/12.52 cnf(matrix-2594, plain, ( ~class_Rings_Ocomm__semiring__1(_u5379) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), _u5380), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), _u5381), _u5382)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5379), _u5380), _u5381)), _u5382)) )).
% 12.29/12.52 cnf(matrix-2595, plain, ( ~class_Rings_Ocomm__semiring__1(_u5383) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5384), _u5385)), _u5386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5385), _u5386))) )).
% 12.29/12.52 cnf(matrix-2596, plain, ( ~class_Rings_Ocomm__semiring__1(_u5387) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), _u5388), _u5389)), _u5390) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5387), _u5388), _u5390)), _u5389)) )).
% 12.29/12.52 cnf(matrix-2597, plain, ( ~class_Rings_Ocomm__semiring__1(_u5391) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5392), _u5393)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5394), _u5395)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5392), _u5394)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5391), _u5393), _u5395))) )).
% 12.29/12.52 cnf(matrix-2598, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5396), _u5397), _u5398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5396), _u5397), _u5399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5396), _u5398), _u5399)) )).
% 12.29/12.52 cnf(matrix-2599, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5401), _u5402)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5403), _u5402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5400), _u5401), _u5403)) )).
% 12.29/12.52 cnf(matrix-2600, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5404), _u5405), _u5406)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5404), _u5407), _u5408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5404), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5404), _u5405), _u5407)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5404), _u5406), _u5408))) )).
% 12.29/12.52 cnf(matrix-2601, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5409), _u5410), _u5411)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5409), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5409), _u5412), _u5410)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5409), _u5412), _u5411))) )).
% 12.29/12.52 cnf(matrix-2602, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5413), _u5414), _u5415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5413), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5413), _u5414), _u5416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5413), _u5415), _u5416))) )).
% 12.29/12.52 cnf(matrix-2603, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5420))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), _u5419), _u5420)) )).
% 12.29/12.52 cnf(matrix-2604, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5417) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), _u5419), _u5420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5417), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5419)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5417), _u5418), _u5420))) )).
% 12.29/12.52 cnf(matrix-2605, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5422), _u5423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5424), _u5423))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), _u5422), _u5424)) )).
% 12.29/12.52 cnf(matrix-2606, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5421) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), _u5422), _u5424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5421), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5422), _u5423)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5421), _u5424), _u5423))) )).
% 12.29/12.52 cnf(matrix-2607, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5425) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), _u5426), _u5427)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5425), _u5426), _u5428))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5425), _u5427), _u5428)) )).
% 12.29/12.52 cnf(matrix-2608, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5429) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5429), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), _u5430), _u5431)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5429), _u5432), _u5431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5429), _u5430), _u5432)) )).
% 12.29/12.52 cnf(matrix-2609, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5433) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), _u5434), _u5435)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), _u5436), _u5437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5433), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), _u5434), _u5436)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5433), _u5435), _u5437))) )).
% 12.29/12.52 cnf(matrix-2610, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5438), _u5439), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5438), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5438), _u5441), _u5439)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5438), _u5441), _u5440))) )).
% 12.29/12.52 cnf(matrix-2611, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5442) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5442), _u5443), _u5444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5442), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5442), _u5443), _u5445)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5442), _u5444), _u5445))) )).
% 12.29/12.52 cnf(matrix-2612, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5448)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5449))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5448), _u5449)) )).
% 12.29/12.52 cnf(matrix-2613, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), _u5448), _u5449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5446), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5448)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5446), _u5447), _u5449))) )).
% 12.29/12.52 cnf(matrix-2614, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5451), _u5452)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5453), _u5452))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), _u5451), _u5453)) )).
% 12.29/12.52 cnf(matrix-2615, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u5450) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), _u5451), _u5453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5450), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5451), _u5452)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5450), _u5453), _u5452))) )).
% 12.29/12.52 cnf(matrix-2616, plain, ( ~class_Rings_Osemiring(_u5454) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5455), _u5456)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), _u5457), _u5456)), _u5458)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5454), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5454), _u5455), _u5457)), _u5456)), _u5458)) )).
% 12.29/12.52 cnf(matrix-2617, plain, ( ~class_Rings_Ocomm__semiring(_u5459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5459), _u5460), _u5461)), _u5462) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), _u5460), _u5462)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5459), _u5461), _u5462))) )).
% 12.29/12.52 cnf(matrix-2618, plain, ( ~class_Groups_Ogroup__add(_u5463) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5463), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5463), _u5464), _u5465)), _u5465) = _u5464) )).
% 12.29/12.52 cnf(matrix-2619, plain, ( ~class_Groups_Ogroup__add(_u5466) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5466), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5466), _u5467), _u5468)), _u5468) = _u5467) )).
% 12.29/12.52 cnf(matrix-2620, plain, ( ~class_Groups_Oab__group__add(_u5469) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5469), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5469), _u5470), _u5471)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5469), hAPP(c_Groups_Ouminus__class_Ouminus(_u5469), _u5470)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5469), _u5471))) )).
% 12.29/12.52 cnf(matrix-2621, plain, ( ~class_Groups_Ogroup__add(_u5472) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5472), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), _u5473), _u5474)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5472), hAPP(c_Groups_Ouminus__class_Ouminus(_u5472), _u5474)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5472), _u5473))) )).
% 12.29/12.52 cnf(matrix-2622, plain, ( ~class_Groups_Ogroup__add(_u5475) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), _u5476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5475), hAPP(c_Groups_Ouminus__class_Ouminus(_u5475), _u5476)), _u5477)) = _u5477) )).
% 12.29/12.52 cnf(matrix-2623, plain, ( ~class_Groups_Ogroup__add(_u5478) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5478), hAPP(c_Groups_Ouminus__class_Ouminus(_u5478), _u5479)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5478), _u5479), _u5480)) = _u5480) )).
% 12.29/12.52 cnf(matrix-2624, plain, ( ~class_Rings_Ocomm__semiring__1(_u5481) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5481), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5481), _u5482), _u5483)), _u5483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5481), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5481), _u5482), c_Groups_Oone__class_Oone(_u5481))), _u5483)) )).
% 12.29/12.52 cnf(matrix-2625, plain, ( ~class_Rings_Ocomm__semiring__1(_u5484) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), _u5486), _u5485)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5484), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5484), _u5486), c_Groups_Oone__class_Oone(_u5484))), _u5485)) )).
% 12.29/12.52 cnf(matrix-2626, plain, ( ~class_Rings_Ocomm__semiring__1(_u5487) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), _u5488), _u5488) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5487), c_Groups_Oone__class_Oone(_u5487)), c_Groups_Oone__class_Oone(_u5487))), _u5488)) )).
% 12.29/12.52 cnf(matrix-2627, plain, ( ~class_Rings_Ocomm__ring__1(_u5489) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5489), _u5490), _u5491) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5489), _u5490), hAPP(c_Groups_Ouminus__class_Ouminus(_u5489), _u5491))) )).
% 12.29/12.52 cnf(matrix-2628, plain, ( ~class_Groups_Ocomm__monoid__add(_u5492) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5493, _u5492), hAPP(hAPP(c_COMBS(_u5493, _u5492, _u5492), hAPP(hAPP(c_COMBB(_u5492, tc_fun(_u5492, _u5492), _u5493), c_Groups_Oplus__class_Oplus(_u5492)), _u5494)), _u5495)), _u5496) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5492), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5493, _u5492), _u5494), _u5496)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5493, _u5492), _u5495), _u5496))) )).
% 12.29/12.52 cnf(matrix-2629, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5497), _u5498), _u5499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), _u5500), _u5501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5497), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5498), _u5500)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5497), _u5499), _u5501))) )).
% 12.29/12.52 cnf(matrix-2630, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u5502) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5502), _u5503), _u5504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5502), _u5505), _u5506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5502), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5503), _u5505)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5502), _u5504), _u5506))) )).
% 12.29/12.52 cnf(matrix-2631, plain, ( ~class_Rings_Olinordered__semidom(_u5507) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5507), _u5508), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5507), _u5508), c_Groups_Oone__class_Oone(_u5507)))) )).
% 12.29/12.52 cnf(matrix-2632, plain, ( ~class_Rings_Oring(_u5509) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5510), _u5511)), _u5512) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5513), _u5511)), _u5514)) | ( _u5512 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), _u5513), _u5510)), _u5511)), _u5514)) )).
% 12.29/12.52 cnf(matrix-2633, plain, ( ~class_Rings_Oring(_u5509) | ( _u5512 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5509), _u5513), _u5510)), _u5511)), _u5514)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5510), _u5511)), _u5512) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5509), _u5513), _u5511)), _u5514)) )).
% 12.29/12.52 cnf(matrix-2634, plain, ( ~class_Rings_Oring(_u5515) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5517)), _u5518) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5519), _u5517)), _u5520)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), _u5516), _u5519)), _u5517)), _u5518) = _u5520) )).
% 12.29/12.52 cnf(matrix-2635, plain, ( ~class_Rings_Oring(_u5515) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5515), _u5516), _u5519)), _u5517)), _u5518) != _u5520) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5516), _u5517)), _u5518) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5515), _u5519), _u5517)), _u5520)) )).
% 12.29/12.52 cnf(matrix-2636, plain, ( ~class_Groups_Ogroup__add(_u5521) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5521), _u5522), _u5523) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5521), _u5522), hAPP(c_Groups_Ouminus__class_Ouminus(_u5521), _u5523))) )).
% 12.29/12.52 cnf(matrix-2637, plain, ( ~class_Groups_Oab__group__add(_u5524) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5524), _u5525), _u5526) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5524), _u5525), hAPP(c_Groups_Ouminus__class_Ouminus(_u5524), _u5526))) )).
% 12.29/12.52 cnf(matrix-2638, plain, ( ~class_Groups_Ogroup__add(_u5527) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5527), _u5528), hAPP(c_Groups_Ouminus__class_Ouminus(_u5527), _u5529)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5527), _u5528), _u5529)) )).
% 12.29/12.52 cnf(matrix-2639, plain, ( ~class_Groups_Ocomm__monoid__add(_u5530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5531), _u5532)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5531, _u5530), hAPP(hAPP(c_COMBS(_u5531, _u5530, _u5530), hAPP(hAPP(c_COMBB(_u5530, tc_fun(_u5530, _u5530), _u5531), c_Groups_Oplus__class_Oplus(_u5530)), _u5533)), _u5534)), _u5532) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5530), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5531, _u5530), _u5533), _u5532)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5531, _u5530), _u5534), _u5532))) )).
% 12.29/12.52 cnf(matrix-2640, plain, ( ~class_Rings_Oordered__ring(_u5535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), _u5537)), _u5538)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5539), _u5537)), _u5540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5535), _u5536), _u5539)), _u5537)), _u5538)), _u5540)) )).
% 12.29/12.52 cnf(matrix-2641, plain, ( ~class_Rings_Oordered__ring(_u5535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5535), _u5536), _u5539)), _u5537)), _u5538)), _u5540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5535), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5536), _u5537)), _u5538)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5535), _u5539), _u5537)), _u5540))) )).
% 12.29/12.52 cnf(matrix-2642, plain, ( ~class_Rings_Oordered__ring(_u5541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5542), _u5543)), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5545), _u5543)), _u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), _u5544), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5541), _u5545), _u5542)), _u5543)), _u5546))) )).
% 12.29/12.52 cnf(matrix-2643, plain, ( ~class_Rings_Oordered__ring(_u5541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), _u5544), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5541), _u5545), _u5542)), _u5543)), _u5546))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5542), _u5543)), _u5544)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5541), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5541), _u5545), _u5543)), _u5546))) )).
% 12.29/12.52 cnf(matrix-2644, plain, ( ~class_Rings_Oordered__ring(_u5547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5548), _u5549)), _u5550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5551), _u5549)), _u5552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), _u5550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5547), _u5551), _u5548)), _u5549)), _u5552))) )).
% 12.29/12.52 cnf(matrix-2645, plain, ( ~class_Rings_Oordered__ring(_u5547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), _u5550), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5547), _u5551), _u5548)), _u5549)), _u5552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5547), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5548), _u5549)), _u5550)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5547), _u5551), _u5549)), _u5552))) )).
% 12.29/12.52 cnf(matrix-2646, plain, ( ~class_Rings_Oordered__ring(_u5553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5554), _u5555)), _u5556)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5557), _u5555)), _u5558))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5553), _u5554), _u5557)), _u5555)), _u5556)), _u5558)) )).
% 12.29/12.52 cnf(matrix-2647, plain, ( ~class_Rings_Oordered__ring(_u5553) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5553), _u5554), _u5557)), _u5555)), _u5556)), _u5558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5553), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5554), _u5555)), _u5556)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5553), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5553), _u5557), _u5555)), _u5558))) )).
% 12.29/12.52 cnf(matrix-2648, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5559), _u5560)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5559), _u5561)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5559, tc_Nat_Onat), _u5562), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5559, tc_HOL_Obool)), _u5560), _u5561)) = 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(_u5559, tc_Nat_Onat), _u5562), _u5560)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5559, tc_Nat_Onat), _u5562), _u5561))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5559, tc_Nat_Onat), _u5562), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5559, tc_HOL_Obool)), _u5560), _u5561)))) )).
% 12.29/12.52 cnf(matrix-2649, plain, ( ~class_Rings_Ocomm__semiring__1(_u5563) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5564), _u5565) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5563), _u5565), _u5564)) )).
% 12.29/12.52 cnf(matrix-2650, plain, ( ~class_Rings_Ocomm__semiring__1(_u5566) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5568), _u5569)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5568), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5566), _u5567), _u5569))) )).
% 12.29/12.52 cnf(matrix-2651, plain, ( ~class_Rings_Ocomm__semiring__1(_u5570) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), _u5571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), _u5572), _u5573)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5570), _u5571), _u5572)), _u5573)) )).
% 12.29/12.52 cnf(matrix-2652, plain, ( ~class_Rings_Ocomm__semiring__1(_u5574) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), _u5575), _u5576)), _u5577) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), _u5575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5574), _u5576), _u5577))) )).
% 12.29/12.52 cnf(matrix-2653, plain, ( ~class_Rings_Ocomm__semiring__1(_u5578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), _u5579), _u5580)), _u5581) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5578), _u5579), _u5581)), _u5580)) )).
% 12.29/12.52 cnf(matrix-2654, plain, ( ~class_Rings_Ocomm__semiring__1(_u5582) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5583), _u5584)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5585), _u5586)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5583), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5584), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5582), _u5585), _u5586)))) )).
% 12.29/12.52 cnf(matrix-2655, plain, ( ~class_Rings_Ocomm__semiring__1(_u5587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5588), _u5589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5590), _u5591)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5590), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5587), _u5588), _u5589)), _u5591))) )).
% 12.29/12.52 cnf(matrix-2656, plain, ( ~class_Rings_Ocomm__semiring__1(_u5592) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5594)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5595), _u5596)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5593), _u5595)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5592), _u5594), _u5596))) )).
% 12.29/12.52 cnf(matrix-2657, plain, ( ~class_Groups_Ocomm__monoid__add(_u5597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5598), _u5599)) | hBOOL(hAPP(hAPP(c_member(_u5598), _u5600), _u5599)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5598, _u5597), _u5601), hAPP(hAPP(c_Set_Oinsert(_u5598), _u5600), _u5599)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5597), hAPP(_u5601, _u5600)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5598, _u5597), _u5601), _u5599))) )).
% 12.29/12.52 cnf(matrix-2658, plain, ( ~class_Groups_Ocomm__monoid__add(_u5602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5603), _u5604)) | hBOOL(hAPP(hAPP(c_member(_u5603), _u5605), _u5604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5603, _u5602), _u5606), hAPP(hAPP(c_Set_Oinsert(_u5603), _u5605), _u5604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5602), hAPP(_u5606, _u5605)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5603, _u5602), _u5606), _u5604))) )).
% 12.29/12.52 cnf(matrix-2659, plain, ( ~class_Groups_Ocomm__monoid__add(_u5607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5608), _u5609)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5608), _u5610)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5607), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5608, tc_HOL_Obool)), _u5609), _u5610))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5608, tc_HOL_Obool)), _u5609), _u5610))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5607), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), _u5609)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5608, _u5607), _u5611), _u5610))) )).
% 12.29/12.52 cnf(matrix-2660, plain, ( ~class_Groups_Ocomm__monoid__add(_u5612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5613), _u5614)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5613, _u5612), _u5615), hAPP(hAPP(c_Set_Oinsert(_u5613), _u5616), _u5614)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5612), hAPP(_u5615, _u5616)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5613, _u5612), _u5615), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5613, tc_HOL_Obool)), _u5614), hAPP(hAPP(c_Set_Oinsert(_u5613), _u5616), c_Orderings_Obot__class_Obot(tc_fun(_u5613, tc_HOL_Obool))))))) )).
% 12.29/12.52 cnf(matrix-2661, plain, ( ~class_Groups_Ocomm__monoid__add(_u5617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5618), _u5619)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5618), _u5620)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5618, tc_HOL_Obool)), _u5619), _u5620) != c_Orderings_Obot__class_Obot(tc_fun(_u5618, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5618, _u5617), _u5621), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5618, tc_HOL_Obool)), _u5619), _u5620)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5617), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5618, _u5617), _u5621), _u5619)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5618, _u5617), _u5621), _u5620))) )).
% 12.29/12.52 cnf(matrix-2662, plain, ( ~class_Groups_Oab__group__add(_u5622) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5623), _u5624)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5623), _u5625)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5623, tc_HOL_Obool)), _u5624), _u5625)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5622), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5622), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), _u5624)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), _u5625))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5623, _u5622), _u5626), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5623, tc_HOL_Obool)), _u5624), _u5625)))) )).
% 12.29/12.52 cnf(matrix-2663, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5627), _u5628)) | ~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), _u5627), _u5629)), _u5630)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5628), _u5629)), _u5631))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5630), 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), _u5628), _u5627)), _u5629)), _u5631))) )).
% 12.29/12.52 cnf(matrix-2664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5627), _u5628)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5630), 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), _u5628), _u5627)), _u5629)), _u5631))) | 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), _u5627), _u5629)), _u5630)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5628), _u5629)), _u5631))) )).
% 12.29/12.52 cnf(matrix-2665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5632), _u5633)) | ~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), _u5633), _u5634)), _u5635)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5632), _u5634)), _u5636))) | 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), _u5633), _u5632)), _u5634)), _u5635)), _u5636)) )).
% 12.29/12.52 cnf(matrix-2666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5632), _u5633)) | ~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), _u5633), _u5632)), _u5634)), _u5635)), _u5636)) | 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), _u5633), _u5634)), _u5635)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5632), _u5634)), _u5636))) )).
% 12.29/12.52 cnf(matrix-2667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5637), _u5638)) | ~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), _u5638), _u5639)), _u5640)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5637), _u5639)), _u5641))) | 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), _u5638), _u5637)), _u5639)), _u5640)), _u5641)) )).
% 12.29/12.52 cnf(matrix-2668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5637), _u5638)) | ~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), _u5638), _u5637)), _u5639)), _u5640)), _u5641)) | 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), _u5638), _u5639)), _u5640)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5637), _u5639)), _u5641))) )).
% 12.29/12.52 cnf(matrix-2669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5642), _u5643)) | ( 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), _u5643), _u5644)), _u5645)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5642), _u5644)), _u5646)) = 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), _u5643), _u5642)), _u5644)), _u5645)), _u5646)) )).
% 12.29/12.52 cnf(matrix-2670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5647), _u5648)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5648), _u5649)), _u5650) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5647), _u5649)), _u5651)) | ( 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), _u5648), _u5647)), _u5649)), _u5650) = _u5651) )).
% 12.29/12.52 cnf(matrix-2671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5647), _u5648)) | ( 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), _u5648), _u5647)), _u5649)), _u5650) != _u5651) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5648), _u5649)), _u5650) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5647), _u5649)), _u5651)) )).
% 12.29/12.52 cnf(matrix-2672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5652), _u5653)) | ~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), _u5652), _u5654)), _u5655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5653), _u5654)), _u5656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5655), 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), _u5653), _u5652)), _u5654)), _u5656))) )).
% 12.29/12.52 cnf(matrix-2673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5652), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5655), 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), _u5653), _u5652)), _u5654)), _u5656))) | 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), _u5652), _u5654)), _u5655)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5653), _u5654)), _u5656))) )).
% 12.29/12.52 cnf(matrix-2674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5657), _u5658)) | ( 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), _u5657), _u5659)), _u5660)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5658), _u5659)), _u5661)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5660), 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), _u5658), _u5657)), _u5659)), _u5661))) )).
% 12.29/12.52 cnf(matrix-2675, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5662, _u5663))) )).
% 12.29/12.52 cnf(matrix-2676, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5664))) )).
% 12.29/12.52 cnf(matrix-2677, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5665))) )).
% 12.29/12.52 cnf(matrix-2678, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5666, _u5667))) )).
% 12.29/12.52 cnf(matrix-2679, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5668, _u5669))) )).
% 12.29/12.52 cnf(matrix-2680, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5670), _u5671)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5672), _u5671)), _u5673)) = 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), _u5670), _u5672)), _u5671)), _u5673)) )).
% 12.29/12.52 cnf(matrix-2681, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u5674, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5675)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u5674, tc_HOL_Obool), tc_Nat_Onat), _u5676), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5677))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u5674, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5677, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5675), _u5677))), _u5676)) )).
% 12.29/12.52 cnf(matrix-2682, 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)), _u5678)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5679, _u5680)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5679), _u5678), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5680), _u5678))) )).
% 12.29/12.52 cnf(matrix-2683, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5686)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5681), _u5686)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5681), skolem118(_u5686))) )).
% 12.29/12.52 cnf(matrix-2684, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5687)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem119(_u5687, _u5684)), _u5687)) )).
% 12.29/12.52 cnf(matrix-2685, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem119(_u5687, _u5684)), _u5684)) )).
% 12.29/12.52 cnf(matrix-2686, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5688), _u5689)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5688), _u5690)), _u5691) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5689), _u5690)), _u5692)) | ( _u5691 = 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), _u5689), _u5688)), _u5690)), _u5692)) )).
% 12.29/12.52 cnf(matrix-2688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5688), _u5689)) | ( _u5691 != 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), _u5689), _u5688)), _u5690)), _u5692)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5688), _u5690)), _u5691) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5689), _u5690)), _u5692)) )).
% 12.29/12.52 cnf(matrix-2689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5693), _u5694)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5694), _u5695)), _u5693) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5694), _u5693)), _u5695)) )).
% 12.29/12.52 cnf(matrix-2690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5696), _u5697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5697), _u5696)), _u5698) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5697), _u5698)), _u5696)) )).
% 12.29/12.52 cnf(matrix-2691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5699), _u5700)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), _u5700)), _u5699) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5701), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5700), _u5699))) )).
% 12.29/12.52 cnf(matrix-2692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5702), _u5703)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5703), _u5702) != _u5704) | ( _u5703 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5704), _u5702)) )).
% 12.29/12.52 cnf(matrix-2693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5702), _u5703)) | ( _u5703 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5704), _u5702)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5703), _u5702) = _u5704) )).
% 12.29/12.52 cnf(matrix-2694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5705), _u5706)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5706), _u5705)), _u5705) = _u5706) )).
% 12.29/12.52 cnf(matrix-2695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5707), _u5708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5709), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5708), _u5707))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5709), _u5707)), _u5708)) )).
% 12.29/12.52 cnf(matrix-2696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5707), _u5708)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5709), _u5707)), _u5708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5709), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5708), _u5707))) )).
% 12.29/12.52 cnf(matrix-2697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5710), _u5711)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5711), _u5710)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5712), _u5711)), _u5710)) )).
% 12.29/12.52 cnf(matrix-2698, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2699, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2700, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2701, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5713), _u5713)) )).
% 12.29/12.52 cnf(matrix-2703, plain, ( ( _u5716 = _u5718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5716), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5718), _u5716)) )).
% 12.29/12.52 cnf(matrix-2704, plain, ( ( _u5717 != _u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5717), _u5719)) )).
% 12.29/12.52 cnf(matrix-2705, plain, ( ( _u5717 != _u5719) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5719), _u5717)) )).
% 12.29/12.52 cnf(matrix-2706, plain, ( ( _u5720 = _u5721) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5720), _u5721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5721), _u5720)) )).
% 12.29/12.52 cnf(matrix-2707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5722), _u5722)) )).
% 12.29/12.52 cnf(matrix-2708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5723), _u5724)) | ( _u5724 != _u5723) )).
% 12.29/12.52 cnf(matrix-2709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5725), _u5726)) | ( _u5725 != _u5726) )).
% 12.29/12.52 cnf(matrix-2710, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5727), _u5728)) | ( _u5727 = _u5728) | hBOOL(hAPP(hAPP(_u5729, _u5728), _u5727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5728), _u5727)) )).
% 12.29/12.52 cnf(matrix-2711, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5733), _u5735) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5737), _u5735)) | ( _u5733 = _u5737) )).
% 12.29/12.52 cnf(matrix-2712, plain, ( ( _u5734 != _u5738) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5734), _u5736) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5738), _u5736)) )).
% 12.29/12.52 cnf(matrix-2713, plain, ( ( _u5744 = _u5746) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5742), _u5744) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5742), _u5746)) )).
% 12.29/12.52 cnf(matrix-2714, plain, ( ( _u5745 != _u5747) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5743), _u5745) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5743), _u5747)) )).
% 12.29/12.52 cnf(matrix-2715, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5748), _u5749)), _u5750) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5748), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5749), _u5750))) )).
% 12.29/12.52 cnf(matrix-2716, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5751), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), _u5753)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5752), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5751), _u5753))) )).
% 12.29/12.52 cnf(matrix-2717, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5754), _u5755) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5755), _u5754)) )).
% 12.29/12.52 cnf(matrix-2718, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5756), _u5756)) )).
% 12.29/12.52 cnf(matrix-2719, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5757), _u5758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5758), _u5757)) )).
% 12.29/12.52 cnf(matrix-2720, plain, ( ( _u5759 != _u5760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5759), _u5760)) )).
% 12.29/12.52 cnf(matrix-2721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5761), _u5762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5762), _u5763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5761), _u5763)) )).
% 12.29/12.52 cnf(matrix-2722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5764), _u5765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5765), _u5764)) | ( _u5764 = _u5765) )).
% 12.29/12.52 cnf(matrix-2723, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5766), _u5767)), _u5768) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5766), _u5768)), _u5767)) )).
% 12.29/12.52 cnf(matrix-2724, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), _u5770)), _u5771) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5770), _u5771))) )).
% 12.29/12.52 cnf(matrix-2725, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5772), _u5773) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5773), _u5772)) )).
% 12.29/12.52 cnf(matrix-2726, 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)), _u5774), _u5775) )).
% 12.29/12.52 cnf(matrix-2727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5776), _u5777)), _u5778)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5776), _u5778)) )).
% 12.29/12.52 cnf(matrix-2728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5779), _u5780)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5781), _u5780) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5779), _u5782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5781), _u5782)) )).
% 12.29/12.52 cnf(matrix-2729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5783), _u5784)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5785), _u5786)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5783), _u5785)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5784), _u5786))) )).
% 12.29/12.52 cnf(matrix-2730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5787), _u5788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5787), _u5789)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5788), _u5789))) )).
% 12.29/12.52 cnf(matrix-2731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5790), _u5791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5790), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5792), _u5791))) )).
% 12.29/12.52 cnf(matrix-2732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5793), _u5794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5793), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5794), _u5795))) )).
% 12.29/12.52 cnf(matrix-2733, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5801), _u5803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5799), _u5801)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5799), _u5803))) )).
% 12.29/12.52 cnf(matrix-2734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5802), _u5804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5800), _u5802)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5800), _u5804))) )).
% 12.29/12.52 cnf(matrix-2735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5805), _u5806)), _u5806)) )).
% 12.29/12.52 cnf(matrix-2736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5807), _u5808)), _u5807)) )).
% 12.29/12.52 cnf(matrix-2737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5811), _u5813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5811), _u5813)) )).
% 12.29/12.52 cnf(matrix-2738, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5811), _u5813)) | ( _u5811 != _u5813) )).
% 12.29/12.52 cnf(matrix-2739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5812), _u5814)) | ( _u5812 = _u5814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5812), _u5814)) )).
% 12.29/12.52 cnf(matrix-2740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5817), _u5819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5817), _u5819)) | ( _u5817 = _u5819) )).
% 12.29/12.52 cnf(matrix-2741, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5818), _u5820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5818), _u5820)) )).
% 12.29/12.52 cnf(matrix-2742, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5818), _u5820)) | ( _u5818 != _u5820) )).
% 12.29/12.52 cnf(matrix-2743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5821), _u5822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5821), _u5822)) )).
% 12.29/12.52 cnf(matrix-2744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5823), _u5824)) | ( _u5823 = _u5824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5823), _u5824)) )).
% 12.29/12.52 cnf(matrix-2745, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5825), _u5826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5825), _u5826)) )).
% 12.29/12.52 cnf(matrix-2746, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5825), _u5826)) | ( _u5825 != _u5826) )).
% 12.29/12.52 cnf(matrix-2747, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5827), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5828), _u5827))) )).
% 12.29/12.52 cnf(matrix-2748, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5829), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5829), _u5830))) )).
% 12.29/12.52 cnf(matrix-2749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5835), _u5837)) | ( _u5837 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5835), skolem120(_u5837, _u5835))) )).
% 12.29/12.52 cnf(matrix-2750, plain, ( ( _u5838 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5836), _u5832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5836), _u5838)) )).
% 12.29/12.52 cnf(matrix-2751, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5844), _u5846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5842), _u5844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5842), _u5846))) )).
% 12.29/12.52 cnf(matrix-2752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5845), _u5847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5843), _u5845)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5843), _u5847))) )).
% 12.29/12.52 cnf(matrix-2753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5848), _u5849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5849), _u5850))) )).
% 12.29/12.52 cnf(matrix-2754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5851), _u5852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5851), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5853), _u5852))) )).
% 12.29/12.52 cnf(matrix-2755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5854), _u5855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5854), _u5856)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5855), _u5856))) )).
% 12.29/12.52 cnf(matrix-2756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5857), _u5858)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5859), _u5860)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5857), _u5859)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5858), _u5860))) )).
% 12.29/12.52 cnf(matrix-2757, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5862), _u5863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5861), _u5862)), _u5863)) )).
% 12.29/12.52 cnf(matrix-2758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5864), _u5865)), _u5866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5864), _u5866)) )).
% 12.29/12.52 cnf(matrix-2759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5867), _u5868)), _u5869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5867), _u5869)) )).
% 12.29/12.52 cnf(matrix-2760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5867), _u5868)), _u5869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5868), _u5869)) )).
% 12.29/12.52 cnf(matrix-2761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5870), _u5871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5870), _u5872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5872), _u5871)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5872), _u5870))) )).
% 12.29/12.52 cnf(matrix-2762, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5873), _u5874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5873), _u5875)), _u5874)) )).
% 12.29/12.52 cnf(matrix-2763, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5876), _u5877)), _u5877) = _u5876) )).
% 12.29/12.52 cnf(matrix-2764, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5878), _u5879)), _u5878) = _u5879) )).
% 12.29/12.52 cnf(matrix-2765, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5880), _u5881)), _u5882) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5880), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5881), _u5882))) )).
% 12.29/12.52 cnf(matrix-2766, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5883), _u5884)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5883), _u5885)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5884), _u5885)) )).
% 12.29/12.52 cnf(matrix-2767, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5886), _u5887)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5888), _u5887)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5886), _u5888)) )).
% 12.29/12.52 cnf(matrix-2768, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5889), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5890), _u5891)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5889), _u5890)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5889), _u5891))) )).
% 12.29/12.52 cnf(matrix-2769, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5892), _u5893)), _u5894) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5892), _u5894)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5893), _u5894))) )).
% 12.29/12.52 cnf(matrix-2770, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5895), _u5896)), _u5895)) )).
% 12.29/12.52 cnf(matrix-2771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5897), _u5898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5899), _u5898)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5899), _u5897))) )).
% 12.29/12.52 cnf(matrix-2772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5900), _u5901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5900), _u5902)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5901), _u5902))) )).
% 12.29/12.52 cnf(matrix-2773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5903), _u5904)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5904), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5904), _u5903)) = _u5903) )).
% 12.29/12.52 cnf(matrix-2774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5907)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5906), _u5905) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5907), _u5905)) | ( _u5906 = _u5907) )).
% 12.29/12.52 cnf(matrix-2775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5905), _u5907)) | ( _u5906 != _u5907) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5906), _u5905) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5907), _u5905)) )).
% 12.29/12.52 cnf(matrix-2776, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5908), _u5909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5908), _u5910)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5909), _u5908)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5910), _u5908)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5909), _u5910)) )).
% 12.29/12.52 cnf(matrix-2777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5912), _u5911)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5913), _u5911))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5912), _u5913)) )).
% 12.29/12.52 cnf(matrix-2778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5911), _u5913)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5912), _u5913)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5912), _u5911)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5913), _u5911))) )).
% 12.29/12.52 cnf(matrix-2779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5914), _u5915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5916), _u5917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5914), _u5916)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5915), _u5917))) )).
% 12.29/12.52 cnf(matrix-2780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5918), _u5919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5920), _u5918)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5920), _u5919))) )).
% 12.29/12.52 cnf(matrix-2781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5921), _u5922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5921), _u5923)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5922), _u5923))) )).
% 12.29/12.52 cnf(matrix-2782, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5924), _u5924)))) )).
% 12.29/12.52 cnf(matrix-2783, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5925), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5925), _u5925))) )).
% 12.29/12.52 cnf(matrix-2784, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5926), _u5927)), _u5928) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5926), _u5928)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5927), _u5928))) )).
% 12.29/12.52 cnf(matrix-2785, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5929), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5930), _u5931)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5929), _u5930)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5929), _u5931))) )).
% 12.29/12.52 cnf(matrix-2786, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u5932) = _u5932) )).
% 12.29/12.52 cnf(matrix-2787, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5935), _u5937)) | ( _u5935 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2788, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5935), _u5937)) | ( _u5937 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2789, plain, ( ( _u5936 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5938 != 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), _u5936), _u5938)) )).
% 12.29/12.52 cnf(matrix-2790, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5939), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u5939) )).
% 12.29/12.52 cnf(matrix-2791, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5942), _u5944) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5942 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2792, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5942), _u5944) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5944 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2793, plain, ( ( _u5943 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u5945 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5943), _u5945) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2794, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5946), _u5947)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5947), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5946), _u5947)) = _u5946) )).
% 12.29/12.52 cnf(matrix-2795, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5951), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5953), _u5955))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5951), _u5955)), _u5953)) )).
% 12.29/12.52 cnf(matrix-2796, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5952), _u5956)), _u5954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5952), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5954), _u5956))) )).
% 12.29/12.52 cnf(matrix-2797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5958), _u5957)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5959), _u5957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5958), _u5959)) )).
% 12.29/12.52 cnf(matrix-2798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5957), _u5959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5958), _u5959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5958), _u5957)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5959), _u5957))) )).
% 12.29/12.52 cnf(matrix-2799, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5960), _u5961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5962), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5960), _u5962)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5961), _u5962))) )).
% 12.29/12.52 cnf(matrix-2800, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5963), _u5964)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5965), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5964), _u5963)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5965), _u5963)), _u5964)) )).
% 12.29/12.52 cnf(matrix-2801, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5969), _u5971)), _u5973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5969), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5973), _u5971))) )).
% 12.29/12.52 cnf(matrix-2802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5970), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5974), _u5972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5970), _u5972)), _u5974)) )).
% 12.29/12.52 cnf(matrix-2803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5975), _u5976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5977), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5976), _u5977)), _u5975))) )).
% 12.29/12.52 cnf(matrix-2804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5978), _u5979)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5978), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5979), _u5978)) = _u5979) )).
% 12.29/12.52 cnf(matrix-2805, plain, ( ~class_Rings_Ocomm__semiring__1(_u5980) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5980), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5980), c_Groups_Oone__class_Oone(_u5980)), c_Groups_Oone__class_Oone(_u5980))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5980), hAPP(hAPP(c_COMBB(_u5980, _u5980, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u5980), _u5981)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u5980, _u5980), hAPP(hAPP(c_COMBB(_u5980, tc_fun(_u5980, _u5980), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u5980)), c_Nat_Osemiring__1__class_Oof__nat(_u5980))), _u5982))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5983))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5980), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5980), _u5983)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5980), _u5981), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5980), _u5981), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5980), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5980), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5983), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u5982))))) )).
% 12.29/12.52 cnf(matrix-2806, plain, ( ~class_Groups_Oab__group__add(_u5984) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5985), _u5986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5984), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u5984, _u5984), hAPP(hAPP(c_COMBB(_u5984, tc_fun(_u5984, _u5984), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u5984)), _u5987)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5984, tc_Nat_Onat), _u5987), 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, _u5985, _u5986)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5984), hAPP(_u5987, _u5985)), hAPP(_u5987, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5986), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.29/12.52 cnf(matrix-2807, plain, ( ~class_Groups_Oab__group__add(_u5984) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5985), _u5986)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5984), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u5984, _u5984), hAPP(hAPP(c_COMBB(_u5984, tc_fun(_u5984, _u5984), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u5984)), _u5987)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5984, tc_Nat_Onat), _u5987), 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, _u5985, _u5986)) = c_Groups_Ozero__class_Ozero(_u5984)) )).
% 12.29/12.52 cnf(matrix-2808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5988), _u5989)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5988), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5989), _u5990))) )).
% 12.29/12.52 cnf(matrix-2809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5991), _u5992)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5991), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5993), _u5992))) )).
% 12.29/12.52 cnf(matrix-2810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5994), _u5995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5994), _u5995)) )).
% 12.29/12.52 cnf(matrix-2811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5996), _u5997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5996), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5998), _u5997))) )).
% 12.29/12.52 cnf(matrix-2812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5999), _u6000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5999), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6000), _u6001))) )).
% 12.29/12.52 cnf(matrix-2813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6002), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.52 cnf(matrix-2814, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6003)) )).
% 12.29/12.52 cnf(matrix-2815, plain, ( ~class_Rings_Olinordered__semidom(_u6004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6004), c_Groups_Ozero__class_Ozero(_u6004)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6004), _u6005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6005)) )).
% 12.29/12.52 cnf(matrix-2816, plain, ( ~class_Rings_Olinordered__semidom(_u6004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6004), c_Groups_Ozero__class_Ozero(_u6004)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6004), _u6005))) )).
% 12.29/12.52 cnf(matrix-2817, plain, ( ~class_Rings_Olinordered__semidom(_u6006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6006), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6006), _u6007)), c_Groups_Ozero__class_Ozero(_u6006))) )).
% 12.29/12.52 cnf(matrix-2818, plain, ( ~class_Rings_Osemiring__1(_u6008) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6008), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u6008)) )).
% 12.29/12.52 cnf(matrix-2819, plain, ( ~class_Nat_Osemiring__char__0(_u6009) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6010) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6011)) | ( _u6010 = _u6011) )).
% 12.29/12.52 cnf(matrix-2820, plain, ( ~class_Nat_Osemiring__char__0(_u6009) | ( _u6010 != _u6011) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6010) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6009), _u6011)) )).
% 12.29/12.52 cnf(matrix-2821, plain, ( ~class_Rings_Olinordered__semidom(_u6012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6012), c_Groups_Ozero__class_Ozero(_u6012)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6012), _u6013))) )).
% 12.29/12.52 cnf(matrix-2822, plain, ( ~class_Rings_Olinordered__semidom(_u6014) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6014), c_Groups_Ozero__class_Ozero(_u6014)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6014), _u6015))) )).
% 12.29/12.52 cnf(matrix-2823, plain, ( ~class_Groups_Ozero(_u6016) | ( c_Groups_Ozero__class_Ozero(_u6016) != _u6017) | ( _u6017 = c_Groups_Ozero__class_Ozero(_u6016)) )).
% 12.29/12.52 cnf(matrix-2824, plain, ( ~class_Groups_Ozero(_u6016) | ( _u6017 != c_Groups_Ozero__class_Ozero(_u6016)) | ( c_Groups_Ozero__class_Ozero(_u6016) = _u6017) )).
% 12.29/12.52 cnf(matrix-2825, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6018) | ( _u6019 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6018), _u6019), _u6020)) | ( _u6020 = c_Groups_Ozero__class_Ozero(_u6018)) )).
% 12.29/12.52 cnf(matrix-2826, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6018) | ( _u6020 != c_Groups_Ozero__class_Ozero(_u6018)) | ( _u6019 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6018), _u6019), _u6020)) )).
% 12.29/12.52 cnf(matrix-2827, plain, ( ~class_Rings_Ocomm__semiring__1(_u6021) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6021), _u6022), c_Groups_Ozero__class_Ozero(_u6021)) = _u6022) )).
% 12.29/12.52 cnf(matrix-2828, plain, ( ~class_Rings_Ocomm__semiring__1(_u6023) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6023), c_Groups_Ozero__class_Ozero(_u6023)), _u6024) = _u6024) )).
% 12.29/12.52 cnf(matrix-2829, plain, ( ~class_Groups_Omonoid__add(_u6025) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6025), c_Groups_Ozero__class_Ozero(_u6025)), _u6026) = _u6026) )).
% 12.29/12.52 cnf(matrix-2830, plain, ( ~class_Groups_Ocomm__monoid__add(_u6027) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6027), c_Groups_Ozero__class_Ozero(_u6027)), _u6028) = _u6028) )).
% 12.29/12.52 cnf(matrix-2831, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6029) | ( c_Groups_Ozero__class_Ozero(_u6029) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6029), _u6030), _u6030)) | ( _u6030 = c_Groups_Ozero__class_Ozero(_u6029)) )).
% 12.29/12.52 cnf(matrix-2832, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6029) | ( _u6030 != c_Groups_Ozero__class_Ozero(_u6029)) | ( c_Groups_Ozero__class_Ozero(_u6029) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6029), _u6030), _u6030)) )).
% 12.29/12.52 cnf(matrix-2833, plain, ( ~class_Groups_Omonoid__add(_u6031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6031), _u6032), c_Groups_Ozero__class_Ozero(_u6031)) = _u6032) )).
% 12.29/12.52 cnf(matrix-2834, plain, ( ~class_Groups_Ocomm__monoid__add(_u6033) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6033), _u6034), c_Groups_Ozero__class_Ozero(_u6033)) = _u6034) )).
% 12.29/12.52 cnf(matrix-2835, plain, ( ~class_Rings_Omult__zero(_u6035) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6035), c_Groups_Ozero__class_Ozero(_u6035)), _u6036) = c_Groups_Ozero__class_Ozero(_u6035)) )).
% 12.29/12.52 cnf(matrix-2836, plain, ( ~class_Rings_Omult__zero(_u6037) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6037), _u6038), c_Groups_Ozero__class_Ozero(_u6037)) = c_Groups_Ozero__class_Ozero(_u6037)) )).
% 12.29/12.52 cnf(matrix-2837, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), _u6040), _u6041) != c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6040 = c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6041 = c_Groups_Ozero__class_Ozero(_u6039)) )).
% 12.29/12.52 cnf(matrix-2838, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), _u6040), _u6041) = c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6040 != c_Groups_Ozero__class_Ozero(_u6039)) )).
% 12.29/12.52 cnf(matrix-2839, plain, ( ~class_Rings_Oring__no__zero__divisors(_u6039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6039), _u6040), _u6041) = c_Groups_Ozero__class_Ozero(_u6039)) | ( _u6041 != c_Groups_Ozero__class_Ozero(_u6039)) )).
% 12.29/12.52 cnf(matrix-2840, plain, ( ~class_Rings_Ono__zero__divisors(_u6042) | ( _u6043 = c_Groups_Ozero__class_Ozero(_u6042)) | ( _u6044 = c_Groups_Ozero__class_Ozero(_u6042)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6042), _u6043), _u6044) != c_Groups_Ozero__class_Ozero(_u6042)) )).
% 12.29/12.52 cnf(matrix-2841, plain, ( ~class_Rings_Ono__zero__divisors(_u6045) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6045), _u6046), _u6047) != c_Groups_Ozero__class_Ozero(_u6045)) | ( _u6046 = c_Groups_Ozero__class_Ozero(_u6045)) | ( _u6047 = c_Groups_Ozero__class_Ozero(_u6045)) )).
% 12.29/12.52 cnf(matrix-2842, plain, ( ~class_Rings_Ocomm__semiring__1(_u6048) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6048), c_Groups_Ozero__class_Ozero(_u6048)), _u6049) = c_Groups_Ozero__class_Ozero(_u6048)) )).
% 12.29/12.52 cnf(matrix-2843, plain, ( ~class_Rings_Ocomm__semiring__1(_u6050) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6050), _u6051), c_Groups_Ozero__class_Ozero(_u6050)) = c_Groups_Ozero__class_Ozero(_u6050)) )).
% 12.29/12.52 cnf(matrix-2844, plain, ( ~class_Groups_Ogroup__add(_u6052) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6052), _u6053), c_Groups_Ozero__class_Ozero(_u6052)) = _u6053) )).
% 12.29/12.52 cnf(matrix-2845, plain, ( ~class_Groups_Ogroup__add(_u6054) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6054), _u6055), _u6055) = c_Groups_Ozero__class_Ozero(_u6054)) )).
% 12.29/12.52 cnf(matrix-2846, plain, ( ~class_Groups_Oab__group__add(_u6056) | ( _u6057 != _u6058) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6056), _u6057), _u6058) = c_Groups_Ozero__class_Ozero(_u6056)) )).
% 12.29/12.52 cnf(matrix-2847, plain, ( ~class_Groups_Oab__group__add(_u6056) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6056), _u6057), _u6058) != c_Groups_Ozero__class_Ozero(_u6056)) | ( _u6057 = _u6058) )).
% 12.29/12.52 cnf(matrix-2848, plain, ( ~class_Groups_Ogroup__add(_u6059) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6059), _u6060), _u6061) != c_Groups_Ozero__class_Ozero(_u6059)) | ( _u6060 = _u6061) )).
% 12.29/12.52 cnf(matrix-2849, plain, ( ~class_Groups_Ogroup__add(_u6059) | ( _u6060 != _u6061) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6059), _u6060), _u6061) = c_Groups_Ozero__class_Ozero(_u6059)) )).
% 12.29/12.52 cnf(matrix-2850, plain, ( ~class_Rings_Ozero__neq__one(_u6062) | ( c_Groups_Oone__class_Oone(_u6062) != c_Groups_Ozero__class_Ozero(_u6062)) )).
% 12.29/12.52 cnf(matrix-2851, plain, ( ~class_Rings_Ozero__neq__one(_u6063) | ( c_Groups_Ozero__class_Ozero(_u6063) != c_Groups_Oone__class_Oone(_u6063)) )).
% 12.29/12.52 cnf(matrix-2852, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6064) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6064), _u6065) != _u6065) | ( _u6065 = c_Groups_Ozero__class_Ozero(_u6064)) )).
% 12.29/12.52 cnf(matrix-2853, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6064) | ( _u6065 != c_Groups_Ozero__class_Ozero(_u6064)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6064), _u6065) = _u6065) )).
% 12.29/12.52 cnf(matrix-2854, plain, ( ~class_Groups_Ogroup__add(_u6066) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6066), _u6067) != c_Groups_Ozero__class_Ozero(_u6066)) | ( _u6067 = c_Groups_Ozero__class_Ozero(_u6066)) )).
% 12.29/12.52 cnf(matrix-2855, plain, ( ~class_Groups_Ogroup__add(_u6066) | ( _u6067 != c_Groups_Ozero__class_Ozero(_u6066)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6066), _u6067) = c_Groups_Ozero__class_Ozero(_u6066)) )).
% 12.29/12.52 cnf(matrix-2856, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6068) | ( _u6069 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6068), _u6069)) | ( _u6069 = c_Groups_Ozero__class_Ozero(_u6068)) )).
% 12.29/12.52 cnf(matrix-2857, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6068) | ( _u6069 != c_Groups_Ozero__class_Ozero(_u6068)) | ( _u6069 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6068), _u6069)) )).
% 12.29/12.52 cnf(matrix-2858, plain, ( ~class_Groups_Ogroup__add(_u6070) | ( c_Groups_Ozero__class_Ozero(_u6070) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6070), _u6071)) | ( c_Groups_Ozero__class_Ozero(_u6070) = _u6071) )).
% 12.29/12.52 cnf(matrix-2859, plain, ( ~class_Groups_Ogroup__add(_u6070) | ( c_Groups_Ozero__class_Ozero(_u6070) != _u6071) | ( c_Groups_Ozero__class_Ozero(_u6070) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6070), _u6071)) )).
% 12.29/12.52 cnf(matrix-2860, plain, ( ~class_Groups_Ogroup__add(_u6072) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6072), c_Groups_Ozero__class_Ozero(_u6072)) = c_Groups_Ozero__class_Ozero(_u6072)) )).
% 12.29/12.52 cnf(matrix-2861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6073), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.52 cnf(matrix-2862, plain, ( ( _u6075 = 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)), _u6075)) )).
% 12.29/12.52 cnf(matrix-2863, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6076)) | ( _u6076 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2864, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6077), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.52 cnf(matrix-2865, plain, ( ( _u6079 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6078), _u6079)) )).
% 12.29/12.52 cnf(matrix-2866, plain, ( ( _u6080 = 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)), _u6080)) )).
% 12.29/12.52 cnf(matrix-2867, plain, ( ( _u6082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6081), _u6082) != _u6081) )).
% 12.29/12.52 cnf(matrix-2868, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), _u6087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6085 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2869, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6085), _u6087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6087 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2870, plain, ( ( _u6086 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6088 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6086), _u6088) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2871, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6089), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6089) )).
% 12.29/12.52 cnf(matrix-2872, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6090) = _u6090) )).
% 12.29/12.52 cnf(matrix-2873, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6091)) )).
% 12.29/12.52 cnf(matrix-2874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6093), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6093 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2875, plain, ( ( _u6094 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6094), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.52 cnf(matrix-2876, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6095) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2877, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6096), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6096) )).
% 12.29/12.52 cnf(matrix-2878, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6097), _u6097) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2879, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6098), _u6099) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6099), _u6098) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6098 = _u6099) )).
% 12.29/12.52 cnf(matrix-2880, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6103), _u6105) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6103), _u6107)) | ( _u6103 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6105 = _u6107) )).
% 12.29/12.52 cnf(matrix-2881, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6106) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6108)) | ( _u6104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2882, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6106) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6104), _u6108)) | ( _u6106 != _u6108) )).
% 12.29/12.52 cnf(matrix-2883, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6112), _u6114) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6116), _u6114)) | ( _u6112 = _u6116) | ( _u6114 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2884, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6113), _u6115) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6117), _u6115)) | ( _u6113 != _u6117) )).
% 12.29/12.52 cnf(matrix-2885, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6113), _u6115) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6117), _u6115)) | ( _u6115 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2886, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6121), _u6123) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6121), _u6125)) | ( _u6123 = _u6125) | ( _u6121 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2887, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6126)) | ( _u6124 != _u6126) )).
% 12.29/12.52 cnf(matrix-2888, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6122), _u6126)) | ( _u6122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2889, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6129), _u6131) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6129 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6131 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2890, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6130), _u6132) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6130 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2891, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6130), _u6132) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6132 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2892, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6133), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2893, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6134) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.52 cnf(matrix-2894, plain, ( ~class_Nat_Osemiring__char__0(_u6135) | c_Fun_Oinj__on(tc_Nat_Onat, _u6135, c_Nat_Osemiring__1__class_Oof__nat(_u6135), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2895, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6136), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2896, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2897, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.52 cnf(matrix-2898, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.52 cnf(matrix-2899, plain, ( ~class_Groups_Ocomm__monoid__add(_u6137) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6138, _u6137), hAPP(c_COMBK(_u6137, _u6138), c_Groups_Ozero__class_Ozero(_u6137))), _u6139) = c_Groups_Ozero__class_Ozero(_u6137)) )).
% 12.29/12.52 cnf(matrix-2900, plain, ( ~class_Rings_Olinordered__semidom(_u6140) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6140), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6140), _u6141)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6140), _u6142))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6141), _u6142)) )).
% 12.29/12.52 cnf(matrix-2901, plain, ( ~class_Rings_Olinordered__semidom(_u6143) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6144), _u6145)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6143), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6143), _u6144)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6143), _u6145))) )).
% 12.29/12.52 cnf(matrix-2902, plain, ( ~class_Rings_Olinordered__semidom(_u6146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6146), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6147)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6148))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6147), _u6148)) )).
% 12.29/12.52 cnf(matrix-2903, plain, ( ~class_Rings_Olinordered__semidom(_u6146) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6147), _u6148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6146), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6147)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6146), _u6148))) )).
% 12.29/12.52 cnf(matrix-2904, plain, ( ~class_Rings_Olinordered__semidom(_u6149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6149), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6150)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6151))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6150), _u6151)) )).
% 12.29/12.52 cnf(matrix-2905, plain, ( ~class_Rings_Olinordered__semidom(_u6149) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6150), _u6151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6149), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6150)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6149), _u6151))) )).
% 12.29/12.52 cnf(matrix-2906, plain, ( ~class_Rings_Osemiring__1(_u6152) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6152), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6153), _u6154)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6152), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6152), _u6153)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6152), _u6154))) )).
% 12.29/12.52 cnf(matrix-2907, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6155), _u6156), _u6156))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), _u6156)) )).
% 12.29/12.52 cnf(matrix-2908, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), _u6156)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6155), c_Groups_Ozero__class_Ozero(_u6155)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6155), _u6156), _u6156))) )).
% 12.29/12.52 cnf(matrix-2909, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6157), _u6158), _u6158)), c_Groups_Ozero__class_Ozero(_u6157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), _u6158), c_Groups_Ozero__class_Ozero(_u6157))) )).
% 12.29/12.52 cnf(matrix-2910, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6157) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), _u6158), c_Groups_Ozero__class_Ozero(_u6157))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6157), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6157), _u6158), _u6158)), c_Groups_Ozero__class_Ozero(_u6157))) )).
% 12.29/12.52 cnf(matrix-2911, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Groups_Ozero__class_Ozero(_u6159)), _u6160)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Groups_Ozero__class_Ozero(_u6159)), _u6161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6159), c_Groups_Ozero__class_Ozero(_u6159)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6159), _u6160), _u6161))) )).
% 12.29/12.52 cnf(matrix-2912, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6164)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6162), _u6163), _u6164) != c_Groups_Ozero__class_Ozero(_u6162)) | ( _u6163 = c_Groups_Ozero__class_Ozero(_u6162)) )).
% 12.29/12.52 cnf(matrix-2913, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6164)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6162), _u6163), _u6164) != c_Groups_Ozero__class_Ozero(_u6162)) | ( _u6164 = c_Groups_Ozero__class_Ozero(_u6162)) )).
% 12.29/12.52 cnf(matrix-2914, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6162), c_Groups_Ozero__class_Ozero(_u6162)), _u6164)) | ( _u6163 != c_Groups_Ozero__class_Ozero(_u6162)) | ( _u6164 != c_Groups_Ozero__class_Ozero(_u6162)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6162), _u6163), _u6164) = c_Groups_Ozero__class_Ozero(_u6162)) )).
% 12.29/12.52 cnf(matrix-2915, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6165) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6165), c_Groups_Ozero__class_Ozero(_u6165)), _u6166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6165), _u6167), _u6168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6165), _u6167), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6165), _u6166), _u6168))) )).
% 12.29/12.52 cnf(matrix-2916, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6169) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6169), c_Groups_Ozero__class_Ozero(_u6169)), _u6170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6169), _u6171), _u6172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6169), _u6171), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6169), _u6172), _u6170))) )).
% 12.29/12.52 cnf(matrix-2917, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6173), _u6174), c_Groups_Ozero__class_Ozero(_u6173))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6173), _u6175), c_Groups_Ozero__class_Ozero(_u6173))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6173), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6173), _u6174), _u6175)), c_Groups_Ozero__class_Ozero(_u6173))) )).
% 12.29/12.52 cnf(matrix-2918, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6176), _u6177), _u6178)), c_Groups_Ozero__class_Ozero(_u6176))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), c_Groups_Ozero__class_Ozero(_u6176)), _u6177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), _u6178), c_Groups_Ozero__class_Ozero(_u6176))) )).
% 12.29/12.52 cnf(matrix-2919, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6176) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6176), _u6177), _u6178)), c_Groups_Ozero__class_Ozero(_u6176))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), _u6177), c_Groups_Ozero__class_Ozero(_u6176))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6176), c_Groups_Ozero__class_Ozero(_u6176)), _u6178)) )).
% 12.29/12.52 cnf(matrix-2920, plain, ( ~class_Rings_Oordered__ring(_u6179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6179), _u6180), _u6181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), _u6180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), _u6181)) )).
% 12.29/12.52 cnf(matrix-2921, plain, ( ~class_Rings_Oordered__ring(_u6179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), c_Groups_Ozero__class_Ozero(_u6179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6179), _u6180), _u6181))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), _u6180), c_Groups_Ozero__class_Ozero(_u6179))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6179), _u6181), c_Groups_Ozero__class_Ozero(_u6179))) )).
% 12.29/12.52 cnf(matrix-2922, plain, ( ~class_Rings_Oordered__semiring(_u6182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), _u6183), _u6184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), _u6185), _u6186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), c_Groups_Ozero__class_Ozero(_u6182)), _u6184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), c_Groups_Ozero__class_Ozero(_u6182)), _u6185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6182), _u6183), _u6185)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6182), _u6184), _u6186))) )).
% 12.29/12.52 cnf(matrix-2923, plain, ( ~class_Rings_Oordered__semiring(_u6187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), _u6188), _u6189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), _u6190), _u6191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), c_Groups_Ozero__class_Ozero(_u6187)), _u6188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), c_Groups_Ozero__class_Ozero(_u6187)), _u6190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6187), _u6188), _u6190)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6187), _u6189), _u6191))) )).
% 12.29/12.52 cnf(matrix-2924, plain, ( ~class_Rings_Oordered__ring(_u6192) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), _u6193), _u6194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), _u6195), c_Groups_Ozero__class_Ozero(_u6192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6192), _u6195), _u6194)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6192), _u6195), _u6193))) )).
% 12.29/12.52 cnf(matrix-2925, plain, ( ~class_Rings_Oordered__ring(_u6196) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6196), _u6197), _u6198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6196), _u6199), c_Groups_Ozero__class_Ozero(_u6196))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6196), _u6198), _u6199)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6196), _u6197), _u6199))) )).
% 12.29/12.52 cnf(matrix-2926, plain, ( ~class_Rings_Oordered__comm__semiring(_u6200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6200), _u6201), _u6202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6200), c_Groups_Ozero__class_Ozero(_u6200)), _u6203)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6203), _u6201)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6200), _u6203), _u6202))) )).
% 12.29/12.52 cnf(matrix-2927, plain, ( ~class_Rings_Oordered__semiring(_u6204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6204), _u6205), _u6206)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6204), c_Groups_Ozero__class_Ozero(_u6204)), _u6207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6204), _u6207), _u6205)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6204), _u6207), _u6206))) )).
% 12.29/12.52 cnf(matrix-2928, plain, ( ~class_Rings_Oordered__semiring(_u6208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), _u6209), _u6210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), c_Groups_Ozero__class_Ozero(_u6208)), _u6211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6208), _u6209), _u6211)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6208), _u6210), _u6211))) )).
% 12.29/12.52 cnf(matrix-2929, plain, ( ~class_Rings_Oordered__ring(_u6212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6212), _u6213), c_Groups_Ozero__class_Ozero(_u6212))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6212), _u6214), c_Groups_Ozero__class_Ozero(_u6212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6212), c_Groups_Ozero__class_Ozero(_u6212)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6212), _u6213), _u6214))) )).
% 12.29/12.52 cnf(matrix-2930, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6215), _u6216), c_Groups_Ozero__class_Ozero(_u6215))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6215), c_Groups_Ozero__class_Ozero(_u6215)), _u6217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6215), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6215), _u6216), _u6217)), c_Groups_Ozero__class_Ozero(_u6215))) )).
% 12.29/12.52 cnf(matrix-2931, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), c_Groups_Ozero__class_Ozero(_u6218)), _u6219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), _u6220), c_Groups_Ozero__class_Ozero(_u6218))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6218), _u6220), _u6219)), c_Groups_Ozero__class_Ozero(_u6218))) )).
% 12.29/12.52 cnf(matrix-2932, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6221) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), c_Groups_Ozero__class_Ozero(_u6221)), _u6222)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), _u6223), c_Groups_Ozero__class_Ozero(_u6221))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6221), _u6222), _u6223)), c_Groups_Ozero__class_Ozero(_u6221))) )).
% 12.29/12.52 cnf(matrix-2933, plain, ( ~class_Rings_Oordered__cancel__semiring(_u6224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), _u6225)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), _u6226)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6224), c_Groups_Ozero__class_Ozero(_u6224)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6224), _u6225), _u6226))) )).
% 12.29/12.52 cnf(matrix-2934, plain, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6228), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.29/12.52 cnf(matrix-2935, plain, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6229)) )).
% 12.29/12.52 cnf(matrix-2936, plain, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6229), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6228), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.29/12.52 cnf(matrix-2937, plain, ( ~class_Rings_Olinordered__ring__strict(_u6227) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6229), c_Groups_Ozero__class_Ozero(_u6227))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6229)) )).
% 12.29/12.52 cnf(matrix-2938, plain, ( ~class_Rings_Olinordered__ring__strict(_u6227) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6228)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6229), c_Groups_Ozero__class_Ozero(_u6227))) )).
% 12.29/12.52 cnf(matrix-2939, plain, ( ~class_Rings_Olinordered__ring__strict(_u6227) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), _u6229)), c_Groups_Ozero__class_Ozero(_u6227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), _u6228), c_Groups_Ozero__class_Ozero(_u6227))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6227), c_Groups_Ozero__class_Ozero(_u6227)), _u6229)) )).
% 12.29/12.52 cnf(matrix-2940, plain, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6231), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.29/12.52 cnf(matrix-2941, plain, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6232), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.29/12.52 cnf(matrix-2942, plain, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6231), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.29/12.52 cnf(matrix-2943, plain, ( ~class_Rings_Olinordered__ring__strict(_u6230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6232)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6232), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.29/12.52 cnf(matrix-2944, plain, ( ~class_Rings_Olinordered__ring__strict(_u6230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6231)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), _u6232)) )).
% 12.29/12.52 cnf(matrix-2945, plain, ( ~class_Rings_Olinordered__ring__strict(_u6230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), c_Groups_Ozero__class_Ozero(_u6230)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), _u6232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6231), c_Groups_Ozero__class_Ozero(_u6230))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6230), _u6232), c_Groups_Ozero__class_Ozero(_u6230))) )).
% 12.29/12.52 cnf(matrix-2946, plain, ( ~class_Rings_Olinordered__ring(_u6233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6233), c_Groups_Ozero__class_Ozero(_u6233)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), _u6234), _u6234))) )).
% 12.29/12.52 cnf(matrix-2947, plain, ( ~class_Rings_Olinordered__semidom(_u6235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6235), c_Groups_Ozero__class_Ozero(_u6235)), _u6236)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6235), _u6237), _u6238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6235), _u6237), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6235), _u6236), _u6238))) )).
% 12.29/12.52 cnf(matrix-2948, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6239), _u6240), _u6240))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), _u6240)) )).
% 12.29/12.52 cnf(matrix-2949, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), _u6240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6239), c_Groups_Ozero__class_Ozero(_u6239)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6239), _u6240), _u6240))) )).
% 12.29/12.52 cnf(matrix-2950, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6241), _u6242), _u6242)), c_Groups_Ozero__class_Ozero(_u6241))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), _u6242), c_Groups_Ozero__class_Ozero(_u6241))) )).
% 12.29/12.52 cnf(matrix-2951, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6241) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), _u6242), c_Groups_Ozero__class_Ozero(_u6241))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6241), _u6242), _u6242)), c_Groups_Ozero__class_Ozero(_u6241))) )).
% 12.29/12.52 cnf(matrix-2952, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6243), c_Groups_Ozero__class_Ozero(_u6243)), _u6244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6243), c_Groups_Ozero__class_Ozero(_u6243)), _u6245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6243), c_Groups_Ozero__class_Ozero(_u6243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6243), _u6244), _u6245))) )).
% 12.29/12.52 cnf(matrix-2953, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6246), _u6247), c_Groups_Ozero__class_Ozero(_u6246))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6246), _u6248), c_Groups_Ozero__class_Ozero(_u6246))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6246), _u6247), _u6248)), c_Groups_Ozero__class_Ozero(_u6246))) )).
% 12.29/12.52 cnf(matrix-2954, plain, ( ~class_Rings_Olinordered__ring__strict(_u6249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6249), _u6250), _u6251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6249), _u6252), c_Groups_Ozero__class_Ozero(_u6249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6249), _u6252), _u6251)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6249), _u6252), _u6250))) )).
% 12.29/12.52 cnf(matrix-2955, plain, ( ~class_Rings_Olinordered__ring__strict(_u6253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6253), _u6254), _u6255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6253), _u6256), c_Groups_Ozero__class_Ozero(_u6253))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6255), _u6256)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6253), _u6254), _u6256))) )).
% 12.29/12.52 cnf(matrix-2956, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u6257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6257), _u6258), _u6259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6257), c_Groups_Ozero__class_Ozero(_u6257)), _u6260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), _u6258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6257), _u6260), _u6259))) )).
% 12.29/12.52 cnf(matrix-2957, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6261), _u6262), _u6263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6261), c_Groups_Ozero__class_Ozero(_u6261)), _u6264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6261), _u6264), _u6262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6261), _u6264), _u6263))) )).
% 12.29/12.52 cnf(matrix-2958, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6265), _u6266), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6265), c_Groups_Ozero__class_Ozero(_u6265)), _u6268)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6265), _u6266), _u6268)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6265), _u6267), _u6268))) )).
% 12.29/12.52 cnf(matrix-2959, plain, ( ~class_Rings_Olinordered__ring__strict(_u6269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6269), _u6270), c_Groups_Ozero__class_Ozero(_u6269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6269), _u6271), c_Groups_Ozero__class_Ozero(_u6269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6269), c_Groups_Ozero__class_Ozero(_u6269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6269), _u6270), _u6271))) )).
% 12.29/12.52 cnf(matrix-2960, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), _u6273), c_Groups_Ozero__class_Ozero(_u6272))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), c_Groups_Ozero__class_Ozero(_u6272)), _u6274)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6272), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6272), _u6273), _u6274)), c_Groups_Ozero__class_Ozero(_u6272))) )).
% 12.29/12.52 cnf(matrix-2961, plain, ( ~class_Rings_Olinordered__ring__strict(_u6275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6276), c_Groups_Ozero__class_Ozero(_u6275))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6278), _u6277)) )).
% 12.29/12.52 cnf(matrix-2962, plain, ( ~class_Rings_Olinordered__ring__strict(_u6275) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6276), c_Groups_Ozero__class_Ozero(_u6275))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), _u6278), _u6277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6275), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6275), _u6276), _u6278))) )).
% 12.29/12.52 cnf(matrix-2963, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6279), c_Groups_Ozero__class_Ozero(_u6279)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6279), _u6280), _u6281))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6279), c_Groups_Ozero__class_Ozero(_u6279)), _u6281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6279), c_Groups_Ozero__class_Ozero(_u6279)), _u6280)) )).
% 12.29/12.52 cnf(matrix-2964, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6282), _u6283), _u6284))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6282), c_Groups_Ozero__class_Ozero(_u6282)), _u6284)) )).
% 12.29/12.52 cnf(matrix-2965, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6285), c_Groups_Ozero__class_Ozero(_u6285)), _u6286)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6285), _u6287), c_Groups_Ozero__class_Ozero(_u6285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6285), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6285), _u6287), _u6286)), c_Groups_Ozero__class_Ozero(_u6285))) )).
% 12.29/12.52 cnf(matrix-2966, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6288), c_Groups_Ozero__class_Ozero(_u6288)), _u6289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6288), _u6290), c_Groups_Ozero__class_Ozero(_u6288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6288), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6288), _u6289), _u6290)), c_Groups_Ozero__class_Ozero(_u6288))) )).
% 12.29/12.52 cnf(matrix-2967, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6291), c_Groups_Ozero__class_Ozero(_u6291)), _u6292)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6291), c_Groups_Ozero__class_Ozero(_u6291)), _u6293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6291), c_Groups_Ozero__class_Ozero(_u6291)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6291), _u6292), _u6293))) )).
% 12.29/12.52 cnf(matrix-2968, plain, ( ~class_Rings_Olinordered__ring__strict(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), _u6296), _u6297)) )).
% 12.29/12.52 cnf(matrix-2969, plain, ( ~class_Rings_Olinordered__ring__strict(_u6294) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), c_Groups_Ozero__class_Ozero(_u6294)), _u6295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), _u6296), _u6297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6296)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6294), _u6295), _u6297))) )).
% 12.29/12.52 cnf(matrix-2970, plain, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6299), c_Groups_Ozero__class_Ozero(_u6298))) )).
% 12.29/12.52 cnf(matrix-2971, plain, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6301), _u6300)) )).
% 12.29/12.52 cnf(matrix-2972, plain, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6300), _u6301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6299), c_Groups_Ozero__class_Ozero(_u6298))) )).
% 12.29/12.52 cnf(matrix-2973, plain, ( ~class_Rings_Olinordered__ring__strict(_u6298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6300), _u6301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6301), _u6300)) )).
% 12.29/12.52 cnf(matrix-2974, plain, ( ~class_Rings_Olinordered__ring__strict(_u6298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), c_Groups_Ozero__class_Ozero(_u6298)), _u6299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6300), _u6301)) )).
% 12.29/12.52 cnf(matrix-2975, plain, ( ~class_Rings_Olinordered__ring__strict(_u6298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6300)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6298), _u6299), _u6301))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6299), c_Groups_Ozero__class_Ozero(_u6298))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6298), _u6301), _u6300)) )).
% 12.29/12.53 cnf(matrix-2976, plain, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), c_Groups_Ozero__class_Ozero(_u6302)), _u6304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6304), c_Groups_Ozero__class_Ozero(_u6302))) )).
% 12.29/12.53 cnf(matrix-2977, plain, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), c_Groups_Ozero__class_Ozero(_u6302)), _u6304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6305), _u6303)) )).
% 12.29/12.53 cnf(matrix-2978, plain, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6303), _u6305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6304), c_Groups_Ozero__class_Ozero(_u6302))) )).
% 12.29/12.53 cnf(matrix-2979, plain, ( ~class_Rings_Olinordered__ring__strict(_u6302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6303), _u6305)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6305), _u6303)) )).
% 12.29/12.53 cnf(matrix-2980, plain, ( ~class_Rings_Olinordered__ring__strict(_u6302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), c_Groups_Ozero__class_Ozero(_u6302)), _u6304)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6303), _u6305)) )).
% 12.29/12.53 cnf(matrix-2981, plain, ( ~class_Rings_Olinordered__ring__strict(_u6302) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6303), _u6304)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6302), _u6305), _u6304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6304), c_Groups_Ozero__class_Ozero(_u6302))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6302), _u6305), _u6303)) )).
% 12.29/12.53 cnf(matrix-2982, plain, ( ~class_Rings_Olinordered__ring(_u6306) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6306), _u6307), _u6307)), c_Groups_Ozero__class_Ozero(_u6306))) )).
% 12.29/12.53 cnf(matrix-2983, plain, ( ~class_Rings_Osemiring__1(_u6308) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6309), _u6310)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6308), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6308), _u6309)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6308), _u6310))) )).
% 12.29/12.53 cnf(matrix-2984, plain, ( ~class_Groups_Oordered__ab__group__add(_u6311) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6312), _u6313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) )).
% 12.29/12.53 cnf(matrix-2985, plain, ( ~class_Groups_Oordered__ab__group__add(_u6311) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6311), _u6312), _u6313)), c_Groups_Ozero__class_Ozero(_u6311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6311), _u6312), _u6313)) )).
% 12.29/12.53 cnf(matrix-2986, plain, ( ~class_Groups_Oordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), _u6315), _u6316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6314), _u6315), _u6316)), c_Groups_Ozero__class_Ozero(_u6314))) )).
% 12.29/12.53 cnf(matrix-2987, plain, ( ~class_Groups_Oordered__ab__group__add(_u6314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6314), _u6315), _u6316)), c_Groups_Ozero__class_Ozero(_u6314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6314), _u6315), _u6316)) )).
% 12.29/12.53 cnf(matrix-2988, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u6317) | ( _u6318 = c_Groups_Ozero__class_Ozero(_u6317)) | ( _u6319 != _u6320) | ( _u6321 = _u6322) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6317), _u6319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6317), _u6318), _u6321)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6317), _u6320), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6317), _u6318), _u6322))) )).
% 12.29/12.53 cnf(matrix-2989, plain, ( ~class_Rings_Olinordered__semidom(_u6323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6323), c_Groups_Oone__class_Oone(_u6323)), c_Groups_Ozero__class_Ozero(_u6323))) )).
% 12.29/12.53 cnf(matrix-2990, plain, ( ~class_Rings_Olinordered__semidom(_u6324) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6324), c_Groups_Ozero__class_Ozero(_u6324)), c_Groups_Oone__class_Oone(_u6324))) )).
% 12.29/12.53 cnf(matrix-2991, plain, ( ~class_Rings_Olinordered__semidom(_u6325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6325), c_Groups_Oone__class_Oone(_u6325)), c_Groups_Ozero__class_Ozero(_u6325))) )).
% 12.29/12.53 cnf(matrix-2992, plain, ( ~class_Rings_Olinordered__semidom(_u6326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6326), c_Groups_Ozero__class_Ozero(_u6326)), c_Groups_Oone__class_Oone(_u6326))) )).
% 12.29/12.53 cnf(matrix-2993, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), hAPP(c_Groups_Ouminus__class_Ouminus(_u6327), _u6328)), _u6328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), c_Groups_Ozero__class_Ozero(_u6327)), _u6328)) )).
% 12.29/12.53 cnf(matrix-2994, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6327) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), c_Groups_Ozero__class_Ozero(_u6327)), _u6328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6327), hAPP(c_Groups_Ouminus__class_Ouminus(_u6327), _u6328)), _u6328)) )).
% 12.29/12.53 cnf(matrix-2995, plain, ( ~class_Groups_Oordered__ab__group__add(_u6329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), hAPP(c_Groups_Ouminus__class_Ouminus(_u6329), _u6330)), c_Groups_Ozero__class_Ozero(_u6329))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), c_Groups_Ozero__class_Ozero(_u6329)), _u6330)) )).
% 12.29/12.53 cnf(matrix-2996, plain, ( ~class_Groups_Oordered__ab__group__add(_u6329) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), c_Groups_Ozero__class_Ozero(_u6329)), _u6330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6329), hAPP(c_Groups_Ouminus__class_Ouminus(_u6329), _u6330)), c_Groups_Ozero__class_Ozero(_u6329))) )).
% 12.29/12.53 cnf(matrix-2997, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), hAPP(c_Groups_Ouminus__class_Ouminus(_u6331), _u6332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), c_Groups_Ozero__class_Ozero(_u6331))) )).
% 12.29/12.53 cnf(matrix-2998, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), c_Groups_Ozero__class_Ozero(_u6331))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6331), _u6332), hAPP(c_Groups_Ouminus__class_Ouminus(_u6331), _u6332))) )).
% 12.29/12.53 cnf(matrix-2999, plain, ( ~class_Groups_Oordered__ab__group__add(_u6333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), c_Groups_Ozero__class_Ozero(_u6333)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6333), _u6334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), _u6334), c_Groups_Ozero__class_Ozero(_u6333))) )).
% 12.29/12.53 cnf(matrix-3000, plain, ( ~class_Groups_Oordered__ab__group__add(_u6333) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), _u6334), c_Groups_Ozero__class_Ozero(_u6333))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6333), c_Groups_Ozero__class_Ozero(_u6333)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6333), _u6334))) )).
% 12.29/12.53 cnf(matrix-3001, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), hAPP(c_Groups_Ouminus__class_Ouminus(_u6335), _u6336)), _u6336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), c_Groups_Ozero__class_Ozero(_u6335)), _u6336)) )).
% 12.29/12.53 cnf(matrix-3002, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), c_Groups_Ozero__class_Ozero(_u6335)), _u6336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6335), hAPP(c_Groups_Ouminus__class_Ouminus(_u6335), _u6336)), _u6336)) )).
% 12.29/12.53 cnf(matrix-3003, plain, ( ~class_Groups_Oordered__ab__group__add(_u6337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), hAPP(c_Groups_Ouminus__class_Ouminus(_u6337), _u6338)), c_Groups_Ozero__class_Ozero(_u6337))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), c_Groups_Ozero__class_Ozero(_u6337)), _u6338)) )).
% 12.29/12.53 cnf(matrix-3004, plain, ( ~class_Groups_Oordered__ab__group__add(_u6337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), c_Groups_Ozero__class_Ozero(_u6337)), _u6338)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6337), hAPP(c_Groups_Ouminus__class_Ouminus(_u6337), _u6338)), c_Groups_Ozero__class_Ozero(_u6337))) )).
% 12.29/12.53 cnf(matrix-3005, plain, ( ~class_Groups_Oordered__ab__group__add(_u6339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), c_Groups_Ozero__class_Ozero(_u6339)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6339), _u6340))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), _u6340), c_Groups_Ozero__class_Ozero(_u6339))) )).
% 12.29/12.53 cnf(matrix-3006, plain, ( ~class_Groups_Oordered__ab__group__add(_u6339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), _u6340), c_Groups_Ozero__class_Ozero(_u6339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6339), c_Groups_Ozero__class_Ozero(_u6339)), hAPP(c_Groups_Ouminus__class_Ouminus(_u6339), _u6340))) )).
% 12.29/12.53 cnf(matrix-3007, plain, ( ~class_Rings_Olinordered__idom(_u6341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), hAPP(c_Groups_Ouminus__class_Ouminus(_u6341), _u6342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), c_Groups_Ozero__class_Ozero(_u6341))) )).
% 12.29/12.53 cnf(matrix-3008, plain, ( ~class_Rings_Olinordered__idom(_u6341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), c_Groups_Ozero__class_Ozero(_u6341))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6341), _u6342), hAPP(c_Groups_Ouminus__class_Ouminus(_u6341), _u6342))) )).
% 12.29/12.53 cnf(matrix-3009, plain, ( ~class_Groups_Ogroup__add(_u6343) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6343), _u6344), _u6345) != c_Groups_Ozero__class_Ozero(_u6343)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6343), _u6344) = _u6345) )).
% 12.29/12.53 cnf(matrix-3010, plain, ( ~class_Groups_Oab__group__add(_u6346) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6346), hAPP(c_Groups_Ouminus__class_Ouminus(_u6346), _u6347)), _u6347) = c_Groups_Ozero__class_Ozero(_u6346)) )).
% 12.29/12.53 cnf(matrix-3011, plain, ( ~class_Groups_Ogroup__add(_u6348) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6348), hAPP(c_Groups_Ouminus__class_Ouminus(_u6348), _u6349)), _u6349) = c_Groups_Ozero__class_Ozero(_u6348)) )).
% 12.29/12.53 cnf(matrix-3012, plain, ( ~class_Groups_Ogroup__add(_u6350) | ( _u6351 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6350), _u6352)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6350), _u6351), _u6352) = c_Groups_Ozero__class_Ozero(_u6350)) )).
% 12.29/12.53 cnf(matrix-3013, plain, ( ~class_Groups_Ogroup__add(_u6350) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6350), _u6351), _u6352) != c_Groups_Ozero__class_Ozero(_u6350)) | ( _u6351 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6350), _u6352)) )).
% 12.29/12.53 cnf(matrix-3014, plain, ( ~class_Groups_Ogroup__add(_u6353) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6353), _u6354), hAPP(c_Groups_Ouminus__class_Ouminus(_u6353), _u6354)) = c_Groups_Ozero__class_Ozero(_u6353)) )).
% 12.29/12.53 cnf(matrix-3015, plain, ( ~class_Rings_Osemiring__1(_u6355) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6355), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6355)) )).
% 12.29/12.53 cnf(matrix-3016, plain, ( ~class_Groups_Ogroup__add(_u6356) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6356), c_Groups_Ozero__class_Ozero(_u6356)), _u6357) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6356), _u6357)) )).
% 12.29/12.53 cnf(matrix-3017, plain, ( ~class_Groups_Ocomm__monoid__add(_u6358) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6359, _u6358), _u6360), c_Orderings_Obot__class_Obot(tc_fun(_u6359, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6358)) )).
% 12.29/12.53 cnf(matrix-3018, plain, ( ~class_Groups_Ocomm__monoid__add(_u6361) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6362, _u6361), _u6363), c_Orderings_Obot__class_Obot(tc_fun(_u6362, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u6361)) )).
% 12.29/12.53 cnf(matrix-3019, plain, ( ~class_Groups_Ocomm__monoid__add(_u6364) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6365), _u6366)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6365, _u6364), _u6367), _u6366) = c_Groups_Ozero__class_Ozero(_u6364)) )).
% 12.29/12.53 cnf(matrix-3020, plain, ( ~class_Groups_Ocomm__monoid__add(_u6368) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6369), _u6370)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6369, _u6368), _u6371), _u6370) = c_Groups_Ozero__class_Ozero(_u6368)) )).
% 12.29/12.53 cnf(matrix-3021, 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), _u6374), _u6376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6376)) )).
% 12.29/12.53 cnf(matrix-3022, 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), _u6375), _u6377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6375)) )).
% 12.29/12.53 cnf(matrix-3023, 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), _u6375), _u6377))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6377)) )).
% 12.29/12.53 cnf(matrix-3024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6379), _u6378)), _u6379)) )).
% 12.29/12.53 cnf(matrix-3025, 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), _u6382), _u6384))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6384), _u6382)) )).
% 12.29/12.53 cnf(matrix-3026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6385), _u6383)) | 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), _u6383), _u6385))) )).
% 12.29/12.53 cnf(matrix-3027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6386)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6387) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6388)) | ( _u6387 = _u6388) )).
% 12.29/12.53 cnf(matrix-3028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6386)) | ( _u6387 != _u6388) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6387) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6386), _u6388)) )).
% 12.29/12.53 cnf(matrix-3029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6390)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6390), _u6391)) )).
% 12.29/12.53 cnf(matrix-3030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6389)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6390), _u6391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6390)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6389), _u6391))) )).
% 12.29/12.53 cnf(matrix-3031, 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), _u6394), _u6396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6394)) )).
% 12.29/12.53 cnf(matrix-3032, 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), _u6394), _u6396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6396)) )).
% 12.29/12.53 cnf(matrix-3033, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6397)) | 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), _u6395), _u6397))) )).
% 12.29/12.53 cnf(matrix-3034, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6401), _u6403)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6401), _u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6401)) )).
% 12.29/12.53 cnf(matrix-3035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6401), _u6403)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6401), _u6405))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6403), _u6405)) )).
% 12.29/12.53 cnf(matrix-3036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6404), _u6406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6402), _u6404)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6402), _u6406))) )).
% 12.29/12.53 cnf(matrix-3037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6410), _u6412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6414), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6412)) )).
% 12.29/12.53 cnf(matrix-3038, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6410), _u6412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6414), _u6412))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6410), _u6414)) )).
% 12.29/12.53 cnf(matrix-3039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6413)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6411), _u6415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6411), _u6413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6415), _u6413))) )).
% 12.29/12.53 cnf(matrix-3040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6416), _u6417)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6418)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6416), _u6418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6417), _u6418))) )).
% 12.29/12.53 cnf(matrix-3041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6419), _u6420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6421), _u6419)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6421), _u6420))) )).
% 12.29/12.53 cnf(matrix-3042, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6422), _u6423)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6424), _u6425)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6424), _u6425) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3044, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6428), _u6430) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6428), _u6430)) )).
% 12.29/12.53 cnf(matrix-3045, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6429), _u6431)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6429), _u6431) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3046, plain, ( ( _u6432 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6432), _u6433)) | ( _u6433 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6432 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3047, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6436), _u6437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6436, tc_Nat_Onat), _u6438), _u6437) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6436), _u6434), _u6437)) | ( hAPP(_u6438, _u6434) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3048, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6436), _u6437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6436, tc_Nat_Onat), _u6438), _u6437) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6436), skolem121(_u6438, _u6437, _u6436)), _u6437)) )).
% 12.29/12.53 cnf(matrix-3049, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6436), _u6437)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6436, tc_Nat_Onat), _u6438), _u6437) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u6438, skolem121(_u6438, _u6437, _u6436)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3050, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6439) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u6439)) )).
% 12.29/12.53 cnf(matrix-3051, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6440) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6440)) )).
% 12.29/12.53 cnf(matrix-3052, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), _u6442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), _u6443)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6441), c_Groups_Ozero__class_Ozero(_u6441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6441), _u6442), _u6443))) )).
% 12.29/12.53 cnf(matrix-3053, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6444) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6444), c_Groups_Ozero__class_Ozero(_u6444)), _u6445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6444), c_Groups_Ozero__class_Ozero(_u6444)), _u6446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6444), c_Groups_Ozero__class_Ozero(_u6444)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6444), _u6445), _u6446))) )).
% 12.29/12.53 cnf(matrix-3054, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6447), c_Groups_Ozero__class_Ozero(_u6447)), _u6448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6447), _u6449), _u6450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6447), _u6449), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6447), _u6448), _u6450))) )).
% 12.29/12.53 cnf(matrix-3055, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6451), c_Groups_Ozero__class_Ozero(_u6451)), _u6452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6451), _u6453), _u6454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6451), _u6453), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6451), _u6452), _u6454))) )).
% 12.29/12.53 cnf(matrix-3056, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6455) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6455), _u6456), c_Groups_Ozero__class_Ozero(_u6455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6455), _u6457), c_Groups_Ozero__class_Ozero(_u6455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6455), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6455), _u6456), _u6457)), c_Groups_Ozero__class_Ozero(_u6455))) )).
% 12.29/12.53 cnf(matrix-3057, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u6458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6458), _u6459), c_Groups_Ozero__class_Ozero(_u6458))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6458), _u6460), c_Groups_Ozero__class_Ozero(_u6458))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6458), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6458), _u6459), _u6460)), c_Groups_Ozero__class_Ozero(_u6458))) )).
% 12.29/12.53 cnf(matrix-3058, plain, ( ~class_Rings_Olinordered__ring__strict(_u6461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6461), c_Groups_Ozero__class_Ozero(_u6461)), _u6462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6464))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), _u6463), _u6464)) )).
% 12.29/12.53 cnf(matrix-3059, plain, ( ~class_Rings_Olinordered__ring__strict(_u6461) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6461), c_Groups_Ozero__class_Ozero(_u6461)), _u6462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), _u6463), _u6464)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6461), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6461), _u6462), _u6464))) )).
% 12.29/12.53 cnf(matrix-3060, plain, ( ~class_Rings_Olinordered__ring__strict(_u6465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6465), _u6466), c_Groups_Ozero__class_Ozero(_u6465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), _u6468), _u6467)) )).
% 12.29/12.53 cnf(matrix-3061, plain, ( ~class_Rings_Olinordered__ring__strict(_u6465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6465), _u6466), c_Groups_Ozero__class_Ozero(_u6465))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), _u6468), _u6467)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6467)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6465), _u6466), _u6468))) )).
% 12.29/12.53 cnf(matrix-3062, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), _u6470), _u6471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), _u6472), _u6473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), c_Groups_Ozero__class_Ozero(_u6469)), _u6471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6469), c_Groups_Ozero__class_Ozero(_u6469)), _u6472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6469), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6469), _u6470), _u6472)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6469), _u6471), _u6473))) )).
% 12.29/12.53 cnf(matrix-3063, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6474), _u6475), _u6476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6474), _u6477), _u6478)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6474), c_Groups_Ozero__class_Ozero(_u6474)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6474), c_Groups_Ozero__class_Ozero(_u6474)), _u6477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6474), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6474), _u6475), _u6477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6474), _u6476), _u6478))) )).
% 12.29/12.53 cnf(matrix-3064, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6479) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6479), _u6480), _u6481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6479), _u6482), _u6483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6479), c_Groups_Ozero__class_Ozero(_u6479)), _u6480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6479), c_Groups_Ozero__class_Ozero(_u6479)), _u6482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6479), _u6480), _u6482)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6479), _u6481), _u6483))) )).
% 12.29/12.53 cnf(matrix-3065, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6484), _u6485), _u6486)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6484), _u6487), _u6488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6484), c_Groups_Ozero__class_Ozero(_u6484)), _u6485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6484), c_Groups_Ozero__class_Ozero(_u6484)), _u6487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6484), _u6485), _u6487)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6484), _u6486), _u6488))) )).
% 12.29/12.53 cnf(matrix-3066, plain, ( ~class_Rings_Olinordered__semiring(_u6489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6489), _u6490), _u6491)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6489), _u6492), _u6491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6489), c_Groups_Ozero__class_Ozero(_u6489)), _u6491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6489), _u6490), _u6492)) )).
% 12.29/12.53 cnf(matrix-3067, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), _u6494), _u6495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6493), _u6496), _u6495))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6493), c_Groups_Ozero__class_Ozero(_u6493)), _u6495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6493), _u6494), _u6496)) )).
% 12.29/12.53 cnf(matrix-3068, plain, ( ~class_Rings_Olinordered__semiring(_u6497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), _u6498), _u6499)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6497), _u6498), _u6500))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6497), c_Groups_Ozero__class_Ozero(_u6497)), _u6498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6497), _u6499), _u6500)) )).
% 12.29/12.53 cnf(matrix-3069, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6501), _u6502), _u6503)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6501), _u6502), _u6504))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6501), c_Groups_Ozero__class_Ozero(_u6501)), _u6502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6501), _u6503), _u6504)) )).
% 12.29/12.53 cnf(matrix-3070, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6505), _u6506), _u6507)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6505), _u6508), _u6507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6505), c_Groups_Ozero__class_Ozero(_u6505)), _u6507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6505), _u6506), _u6508)) )).
% 12.29/12.53 cnf(matrix-3071, plain, ( ~class_Rings_Olinordered__semiring__strict(_u6509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6509), _u6510), _u6511)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6509), _u6510), _u6512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6509), c_Groups_Ozero__class_Ozero(_u6509)), _u6510)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6509), _u6511), _u6512)) )).
% 12.29/12.53 cnf(matrix-3072, plain, ( ~class_Rings_Olinordered__idom(_u6513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), c_Groups_Ozero__class_Ozero(_u6513)), _u6514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), c_Groups_Ozero__class_Ozero(_u6513)), _u6515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), _u6515), c_Groups_Oone__class_Oone(_u6513))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6513), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6513), _u6514), _u6515)), _u6514)) )).
% 12.29/12.53 cnf(matrix-3073, plain, ( ~class_Rings_Olinordered__idom(_u6516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), c_Groups_Ozero__class_Ozero(_u6516)), _u6517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), c_Groups_Ozero__class_Ozero(_u6516)), _u6518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), _u6518), c_Groups_Oone__class_Oone(_u6516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6516), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6516), _u6518), _u6517)), _u6517)) )).
% 12.29/12.53 cnf(matrix-3074, plain, ( ~class_Rings_Olinordered__semidom(_u6519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6519), c_Groups_Ozero__class_Ozero(_u6519)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6519), c_Groups_Oone__class_Oone(_u6519)), c_Groups_Oone__class_Oone(_u6519)))) )).
% 12.29/12.53 cnf(matrix-3075, plain, ( ~class_Rings_Oring__1(_u6520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6521), _u6522)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6522), _u6521)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6520), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6520), _u6522)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6520), _u6521))) )).
% 12.29/12.53 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(_u6528, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6530), _u6532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6530), _u6532)) | hBOOL(hAPP(_u6528, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3077, plain, ( ~hBOOL(hAPP(_u6528, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6530), _u6532))) | ( _u6530 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6532), _u6523)) | hBOOL(hAPP(_u6528, _u6523)) )).
% 12.29/12.53 cnf(matrix-3078, plain, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6531), _u6533)) | ( _u6531 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6533), skolem122(_u6533, _u6531, _u6529))) )).
% 12.29/12.53 cnf(matrix-3079, plain, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6531), _u6533)) | ~hBOOL(hAPP(_u6529, skolem122(_u6533, _u6531, _u6529))) )).
% 12.29/12.53 cnf(matrix-3080, plain, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | ~hBOOL(hAPP(_u6529, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6531 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6533), skolem122(_u6533, _u6531, _u6529))) )).
% 12.29/12.53 cnf(matrix-3081, plain, ( hBOOL(hAPP(_u6529, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6531), _u6533))) | ~hBOOL(hAPP(_u6529, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6529, skolem122(_u6533, _u6531, _u6529))) )).
% 12.29/12.53 cnf(matrix-3082, plain, ( ~hBOOL(hAPP(_u6539, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6541), _u6543))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6541), _u6543)) | hBOOL(hAPP(_u6539, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3083, plain, ( ~hBOOL(hAPP(_u6539, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6541), _u6543))) | ( _u6541 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6543), _u6534)) | hBOOL(hAPP(_u6539, _u6534)) )).
% 12.29/12.53 cnf(matrix-3084, plain, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6542), _u6544)) | ( _u6542 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6544), skolem123(_u6544, _u6542, _u6540))) )).
% 12.29/12.53 cnf(matrix-3085, plain, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6542), _u6544)) | ~hBOOL(hAPP(_u6540, skolem123(_u6544, _u6542, _u6540))) )).
% 12.29/12.53 cnf(matrix-3086, plain, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | ~hBOOL(hAPP(_u6540, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6542 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6544), skolem123(_u6544, _u6542, _u6540))) )).
% 12.29/12.53 cnf(matrix-3087, plain, ( hBOOL(hAPP(_u6540, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6542), _u6544))) | ~hBOOL(hAPP(_u6540, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6540, skolem123(_u6544, _u6542, _u6540))) )).
% 12.29/12.53 cnf(matrix-3088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6546)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6546), _u6547)) )).
% 12.29/12.53 cnf(matrix-3089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6546), _u6547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6546)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6545), _u6547))) )).
% 12.29/12.53 cnf(matrix-3090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6551), _u6553)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6555), _u6553))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6551), _u6555)) )).
% 12.29/12.53 cnf(matrix-3091, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6552), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6554))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6554)) )).
% 12.29/12.53 cnf(matrix-3092, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6552), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6556), _u6554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6552), _u6556)) )).
% 12.29/12.53 cnf(matrix-3093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6562)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6560), _u6564))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6562), _u6564)) )).
% 12.29/12.53 cnf(matrix-3094, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6561), _u6563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6561), _u6565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6561)) )).
% 12.29/12.53 cnf(matrix-3095, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6561), _u6563)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6561), _u6565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6563), _u6565)) )).
% 12.29/12.53 cnf(matrix-3096, plain, ( ( hAPP(_u6566, hAPP(_u6567, _u6568)) != hAPP(_u6569, hAPP(_u6570, _u6571))) | ( hAPP(hAPP(c_Fun_Ocomp(_u6572, _u6573, _u6574, _u6566), _u6567), _u6568) = hAPP(hAPP(c_Fun_Ocomp(_u6575, _u6573, _u6576, _u6569), _u6570), _u6571)) )).
% 12.29/12.53 cnf(matrix-3097, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6581), skolem124(_u6583, _u6582, _u6581)), _u6582)) )).
% 12.29/12.53 cnf(matrix-3098, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6583, skolem124(_u6583, _u6582, _u6581)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3099, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6577), _u6582)) | ( skolem124(_u6583, _u6582, _u6581) = _u6577) | ( hAPP(_u6583, _u6577) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3100, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6580), _u6582)) | ( hAPP(_u6583, _u6580) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u6581), skolem125(_u6583, _u6582, _u6581, _u6580)), _u6582)) )).
% 12.29/12.53 cnf(matrix-3101, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6580), _u6582)) | ( hAPP(_u6583, _u6580) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u6580 != skolem125(_u6583, _u6582, _u6581, _u6580)) )).
% 12.29/12.53 cnf(matrix-3102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6581), _u6582)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6581, tc_Nat_Onat), _u6583), _u6582) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u6581), _u6580), _u6582)) | ( hAPP(_u6583, _u6580) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u6583, skolem125(_u6583, _u6582, _u6581, _u6580)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3103, plain, ( ~class_Groups_Ocomm__monoid__add(_u6584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6585), _u6586)) | ~hBOOL(hAPP(hAPP(c_member(_u6585), _u6587), _u6586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6585, _u6584), hAPP(hAPP(c_COMBC(_u6585, _u6584, _u6584), hAPP(hAPP(c_COMBS(_u6585, _u6584, tc_fun(_u6584, _u6584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6584, tc_fun(_u6584, _u6584)), _u6585), c_If(_u6584)), hAPP(c_fequal, _u6587))), _u6588)), c_Groups_Ozero__class_Ozero(_u6584))), _u6586) = hAPP(_u6588, _u6587)) )).
% 12.29/12.53 cnf(matrix-3104, plain, ( ~class_Groups_Ocomm__monoid__add(_u6584) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6585), _u6586)) | hBOOL(hAPP(hAPP(c_member(_u6585), _u6587), _u6586)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6585, _u6584), hAPP(hAPP(c_COMBC(_u6585, _u6584, _u6584), hAPP(hAPP(c_COMBS(_u6585, _u6584, tc_fun(_u6584, _u6584)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6584, tc_fun(_u6584, _u6584)), _u6585), c_If(_u6584)), hAPP(c_fequal, _u6587))), _u6588)), c_Groups_Ozero__class_Ozero(_u6584))), _u6586) = c_Groups_Ozero__class_Ozero(_u6584)) )).
% 12.29/12.53 cnf(matrix-3105, plain, ( ~class_Groups_Ocomm__monoid__add(_u6589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6590), _u6591)) | ~hBOOL(hAPP(hAPP(c_member(_u6590), _u6592), _u6591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6590, _u6589), hAPP(hAPP(c_COMBC(_u6590, _u6589, _u6589), hAPP(hAPP(c_COMBS(_u6590, _u6589, tc_fun(_u6589, _u6589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6589, tc_fun(_u6589, _u6589)), _u6590), c_If(_u6589)), hAPP(hAPP(c_COMBC(_u6590, _u6590, tc_HOL_Obool), c_fequal), _u6592))), _u6593)), c_Groups_Ozero__class_Ozero(_u6589))), _u6591) = hAPP(_u6593, _u6592)) )).
% 12.29/12.53 cnf(matrix-3106, plain, ( ~class_Groups_Ocomm__monoid__add(_u6589) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6590), _u6591)) | hBOOL(hAPP(hAPP(c_member(_u6590), _u6592), _u6591)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6590, _u6589), hAPP(hAPP(c_COMBC(_u6590, _u6589, _u6589), hAPP(hAPP(c_COMBS(_u6590, _u6589, tc_fun(_u6589, _u6589)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6589, tc_fun(_u6589, _u6589)), _u6590), c_If(_u6589)), hAPP(hAPP(c_COMBC(_u6590, _u6590, tc_HOL_Obool), c_fequal), _u6592))), _u6593)), c_Groups_Ozero__class_Ozero(_u6589))), _u6591) = c_Groups_Ozero__class_Ozero(_u6589)) )).
% 12.29/12.53 cnf(matrix-3107, plain, ( ~class_Rings_Olinordered__semiring__1(_u6594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), _u6595), _u6596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), _u6597), _u6596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), c_Groups_Ozero__class_Ozero(_u6594)), _u6598)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), c_Groups_Ozero__class_Ozero(_u6594)), _u6599)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6594), _u6598), _u6599) != c_Groups_Oone__class_Oone(_u6594)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6594), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6594), _u6598), _u6595)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6594), _u6599), _u6597))), _u6596)) )).
% 12.29/12.53 cnf(matrix-3108, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6600, 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(_u6600, tc_HOL_Obool)), tc_fun(_u6600, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u6600, tc_HOL_Obool)), tc_fun(_u6600, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6600, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u6601)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6600, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6601)) )).
% 12.29/12.53 cnf(matrix-3109, plain, ( ~class_Groups_Ocomm__monoid__add(_u6602) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6603), _u6604)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6603, _u6602), _u6605), _u6604) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6602, _u6603, c_Groups_Oplus__class_Oplus(_u6602)), _u6605), c_Groups_Ozero__class_Ozero(_u6602)), _u6604)) )).
% 12.29/12.53 cnf(matrix-3110, plain, ( ~class_Groups_Ocomm__monoid__add(_u6606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6607), _u6608)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6607, _u6606), _u6609), _u6608) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u6606, _u6607, c_Groups_Oplus__class_Oplus(_u6606)), _u6609), c_Groups_Ozero__class_Ozero(_u6606)), _u6608)) )).
% 12.29/12.53 cnf(matrix-3111, plain, ( ~class_Groups_Ocomm__monoid__add(_u6606) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6607), _u6608)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6607, _u6606), _u6609), _u6608) = c_Groups_Ozero__class_Ozero(_u6606)) )).
% 12.29/12.53 cnf(matrix-3112, plain, ( ~class_Groups_Ocomm__monoid__add(_u6610) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6611), _u6612)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6611, _u6610), _u6613), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6611, tc_HOL_Obool)), _u6612), _u6614)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6611, _u6610), hAPP(hAPP(c_COMBC(_u6611, _u6610, _u6610), hAPP(hAPP(c_COMBS(_u6611, _u6610, tc_fun(_u6610, _u6610)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6610, tc_fun(_u6610, _u6610)), _u6611), c_If(_u6610)), hAPP(hAPP(c_COMBC(_u6611, tc_fun(_u6611, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6611)), _u6614))), _u6613)), c_Groups_Ozero__class_Ozero(_u6610))), _u6612)) )).
% 12.29/12.53 cnf(matrix-3113, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u6615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6615), _u6616), _u6617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6615), _u6618), _u6617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6615), c_Groups_Ozero__class_Ozero(_u6615)), _u6619)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6615), c_Groups_Ozero__class_Ozero(_u6615)), _u6620)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6615), _u6619), _u6620) != c_Groups_Oone__class_Oone(_u6615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6615), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6615), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6615), _u6619), _u6616)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6615), _u6620), _u6618))), _u6617)) )).
% 12.29/12.53 cnf(matrix-3114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6624), _u6626)) | ( 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)), _u6624)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6628), _u6626)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6628), _u6624)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6626), _u6624))) )).
% 12.29/12.53 cnf(matrix-3115, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6625), _u6627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6629), _u6627)) | ( 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)), _u6625)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6629), _u6627)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6625), _u6627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6629), _u6627)) | ( 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)), _u6625)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u6629), _u6627)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3117, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6630, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6631)), _u6632) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6630, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6630, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u6631)), _u6632)), hAPP(_u6632, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.53 cnf(matrix-3118, plain, ( ~class_Rings_Ocomm__semiring__1(_u6633) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6633), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6633), c_Groups_Oone__class_Oone(_u6633)), c_Groups_Oone__class_Oone(_u6633))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u6633), c_Nat_Osemiring__1__class_Oof__nat(_u6633)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u6634))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6633), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6633), _u6634)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6633), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6633), _u6634)), c_Groups_Oone__class_Oone(_u6633)))) )).
% 12.29/12.53 cnf(matrix-3119, plain, ( ( _u6637 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6637), _u6639) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3120, plain, ( ( _u6638 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6638), _u6640) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6638), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u6640))) )).
% 12.29/12.53 cnf(matrix-3121, plain, ( ~class_Rings_Olinordered__ring(_u6641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6642), _u6642)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6641), _u6643), _u6643))), c_Groups_Ozero__class_Ozero(_u6641))) )).
% 12.29/12.53 cnf(matrix-3122, plain, ( ~class_Rings_Olinordered__ring__strict(_u6644) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6644), c_Groups_Ozero__class_Ozero(_u6644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6646), _u6646)))) | ( _u6645 != c_Groups_Ozero__class_Ozero(_u6644)) | ( _u6646 != c_Groups_Ozero__class_Ozero(_u6644)) )).
% 12.29/12.53 cnf(matrix-3123, plain, ( ~class_Rings_Olinordered__ring__strict(_u6644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6644), c_Groups_Ozero__class_Ozero(_u6644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6646), _u6646)))) | ( _u6645 = c_Groups_Ozero__class_Ozero(_u6644)) )).
% 12.29/12.53 cnf(matrix-3124, plain, ( ~class_Rings_Olinordered__ring__strict(_u6644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6644), c_Groups_Ozero__class_Ozero(_u6644)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6645), _u6645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6644), _u6646), _u6646)))) | ( _u6646 = c_Groups_Ozero__class_Ozero(_u6644)) )).
% 12.29/12.53 cnf(matrix-3125, plain, ( ~class_Rings_Olinordered__ring(_u6647) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6647), c_Groups_Ozero__class_Ozero(_u6647)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6647), _u6648), _u6648)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6647), _u6649), _u6649)))) )).
% 12.29/12.53 cnf(matrix-3126, plain, ( ~class_Rings_Olinordered__ring__strict(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6652), _u6652))), c_Groups_Ozero__class_Ozero(_u6650))) | ( _u6651 = c_Groups_Ozero__class_Ozero(_u6650)) )).
% 12.29/12.53 cnf(matrix-3127, plain, ( ~class_Rings_Olinordered__ring__strict(_u6650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6652), _u6652))), c_Groups_Ozero__class_Ozero(_u6650))) | ( _u6652 = c_Groups_Ozero__class_Ozero(_u6650)) )).
% 12.29/12.53 cnf(matrix-3128, plain, ( ~class_Rings_Olinordered__ring__strict(_u6650) | ( _u6651 != c_Groups_Ozero__class_Ozero(_u6650)) | ( _u6652 != c_Groups_Ozero__class_Ozero(_u6650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6651), _u6651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6650), _u6652), _u6652))), c_Groups_Ozero__class_Ozero(_u6650))) )).
% 12.29/12.53 cnf(matrix-3129, plain, ( ~class_Rings_Osemiring__1(_u6653) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6653), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6654, tc_Nat_Onat), _u6655), _u6656)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6654, _u6653), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u6653, _u6654), c_Nat_Osemiring__1__class_Oof__nat(_u6653)), _u6655)), _u6656)) )).
% 12.29/12.53 cnf(matrix-3130, plain, ( ~class_Rings_Osemiring__1(_u6657) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6657), _u6658) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u6657, hAPP(hAPP(c_COMBC(_u6657, _u6657, _u6657), c_Groups_Oplus__class_Oplus(_u6657)), c_Groups_Oone__class_Oone(_u6657)), _u6658, c_Groups_Ozero__class_Ozero(_u6657))) )).
% 12.29/12.53 cnf(matrix-3131, plain, ( ~class_Rings_Osemiring__1(_u6659) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u6659, _u6660, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6661) = _u6661) )).
% 12.29/12.53 cnf(matrix-3132, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6664)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6666)))) | ( _u6664 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6664)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6666)))) | ( _u6666 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3135, plain, ( ( _u6665 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6667 != 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), _u6665)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6667)))) )).
% 12.29/12.53 cnf(matrix-3136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6669)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6669 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3137, plain, ( ( _u6670 != 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), _u6670)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3138, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6672) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6672 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3139, plain, ( ( _u6673 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6673) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3140, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3141, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6676)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6678)) | ( _u6676 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3142, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6676)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6678)) | ( _u6678 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3143, plain, ( ( _u6677 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6679 != 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), _u6677)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6679)) )).
% 12.29/12.53 cnf(matrix-3144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6682)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6684))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6682), _u6684)) )).
% 12.29/12.53 cnf(matrix-3145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6683), _u6685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6683)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6685))) )).
% 12.29/12.53 cnf(matrix-3146, 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), _u6687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6687)) )).
% 12.29/12.53 cnf(matrix-3147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6688)) | 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), _u6688))) )).
% 12.29/12.53 cnf(matrix-3148, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6689), _u6690)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6691)), _u6689)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6691)), _u6690))) )).
% 12.29/12.53 cnf(matrix-3149, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6692)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6693)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6692), _u6693))) )).
% 12.29/12.53 cnf(matrix-3150, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6694)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6695)), _u6696)) = 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), _u6694), _u6695))), _u6696)) )).
% 12.29/12.53 cnf(matrix-3151, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6699)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6701))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6699), _u6701)) )).
% 12.29/12.53 cnf(matrix-3152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6700), _u6702)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6700)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6702))) )).
% 12.29/12.53 cnf(matrix-3153, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6703), _u6704)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6703)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6704))) )).
% 12.29/12.53 cnf(matrix-3154, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6705)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6706)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6705), _u6706))) )).
% 12.29/12.53 cnf(matrix-3155, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3156, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3157, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6707, tc_Nat_Onat), _u6708), _u6709)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6707, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u6707), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6708)), _u6709)) )).
% 12.29/12.53 cnf(matrix-3158, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6710) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), _u6711), _u6711) != c_Groups_Ozero__class_Ozero(_u6710)) | ( _u6711 = c_Groups_Ozero__class_Ozero(_u6710)) )).
% 12.29/12.53 cnf(matrix-3159, plain, ( ~class_Groups_Olinordered__ab__group__add(_u6710) | ( _u6711 != c_Groups_Ozero__class_Ozero(_u6710)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6710), _u6711), _u6711) = c_Groups_Ozero__class_Ozero(_u6710)) )).
% 12.29/12.53 cnf(matrix-3160, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6712), _u6713)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6713)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6712)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6713), _u6712))) )).
% 12.29/12.53 cnf(matrix-3161, plain, ( ~class_Rings_Olinordered__idom(_u6714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6714), _u6715), _u6715)), c_Groups_Ozero__class_Ozero(_u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), _u6715), c_Groups_Ozero__class_Ozero(_u6714))) )).
% 12.29/12.53 cnf(matrix-3162, plain, ( ~class_Rings_Olinordered__idom(_u6714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), _u6715), c_Groups_Ozero__class_Ozero(_u6714))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6714), _u6715), _u6715)), c_Groups_Ozero__class_Ozero(_u6714))) )).
% 12.29/12.53 cnf(matrix-3163, plain, ( ~class_Rings_Olinordered__ring__strict(_u6716) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6717), _u6717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6718), _u6718)) != c_Groups_Ozero__class_Ozero(_u6716)) | ( _u6717 = c_Groups_Ozero__class_Ozero(_u6716)) )).
% 12.29/12.53 cnf(matrix-3164, plain, ( ~class_Rings_Olinordered__ring__strict(_u6716) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6717), _u6717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6718), _u6718)) != c_Groups_Ozero__class_Ozero(_u6716)) | ( _u6718 = c_Groups_Ozero__class_Ozero(_u6716)) )).
% 12.29/12.53 cnf(matrix-3165, plain, ( ~class_Rings_Olinordered__ring__strict(_u6716) | ( _u6717 != c_Groups_Ozero__class_Ozero(_u6716)) | ( _u6718 != c_Groups_Ozero__class_Ozero(_u6716)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6717), _u6717)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6716), _u6718), _u6718)) = c_Groups_Ozero__class_Ozero(_u6716)) )).
% 12.29/12.53 cnf(matrix-3166, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6719), _u6725)) | ~hBOOL(hAPP(_u6727, _u6719)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem126(_u6727, _u6725)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6725))) )).
% 12.29/12.53 cnf(matrix-3167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6719), _u6725)) | ~hBOOL(hAPP(_u6727, _u6719)) | hBOOL(hAPP(_u6727, skolem126(_u6727, _u6725))) )).
% 12.29/12.53 cnf(matrix-3168, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6721), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6726))) | ~hBOOL(hAPP(_u6728, _u6721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem127(_u6728, _u6726)), _u6726)) )).
% 12.29/12.53 cnf(matrix-3169, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6721), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6726))) | ~hBOOL(hAPP(_u6728, _u6721)) | hBOOL(hAPP(_u6728, skolem127(_u6728, _u6726))) )).
% 12.29/12.53 cnf(matrix-3170, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6730), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6735))) | hBOOL(hAPP(_u6737, _u6730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem128(_u6737, _u6735)), _u6735)) )).
% 12.29/12.53 cnf(matrix-3171, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6730), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6735))) | hBOOL(hAPP(_u6737, _u6730)) | ~hBOOL(hAPP(_u6737, skolem128(_u6737, _u6735))) )).
% 12.29/12.53 cnf(matrix-3172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6732), _u6736)) | hBOOL(hAPP(_u6738, _u6732)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem129(_u6738, _u6736)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u6736))) )).
% 12.29/12.53 cnf(matrix-3173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6732), _u6736)) | hBOOL(hAPP(_u6738, _u6732)) | ~hBOOL(hAPP(_u6738, skolem129(_u6738, _u6736))) )).
% 12.29/12.53 cnf(matrix-3174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6739), _u6745)) | ~hBOOL(hAPP(_u6747, _u6739)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem130(_u6747, _u6745)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6745))) )).
% 12.29/12.53 cnf(matrix-3175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6739), _u6745)) | ~hBOOL(hAPP(_u6747, _u6739)) | hBOOL(hAPP(_u6747, skolem130(_u6747, _u6745))) )).
% 12.29/12.53 cnf(matrix-3176, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6741), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6746))) | ~hBOOL(hAPP(_u6748, _u6741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem131(_u6748, _u6746)), _u6746)) )).
% 12.29/12.53 cnf(matrix-3177, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6741), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6746))) | ~hBOOL(hAPP(_u6748, _u6741)) | hBOOL(hAPP(_u6748, skolem131(_u6748, _u6746))) )).
% 12.29/12.53 cnf(matrix-3178, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6750), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6755))) | hBOOL(hAPP(_u6757, _u6750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem132(_u6757, _u6755)), _u6755)) )).
% 12.29/12.53 cnf(matrix-3179, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6750), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6755))) | hBOOL(hAPP(_u6757, _u6750)) | ~hBOOL(hAPP(_u6757, skolem132(_u6757, _u6755))) )).
% 12.29/12.53 cnf(matrix-3180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6752), _u6756)) | hBOOL(hAPP(_u6758, _u6752)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem133(_u6758, _u6756)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6756))) )).
% 12.29/12.53 cnf(matrix-3181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6752), _u6756)) | hBOOL(hAPP(_u6758, _u6752)) | ~hBOOL(hAPP(_u6758, skolem133(_u6758, _u6756))) )).
% 12.29/12.53 cnf(matrix-3182, plain, ( ~hBOOL(hAPP(_u6762, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6764), _u6766)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6766), _u6764)) | hBOOL(hAPP(_u6762, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6764)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6766)))) )).
% 12.29/12.53 cnf(matrix-3183, plain, ( ~hBOOL(hAPP(_u6762, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6764), _u6766)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6764), _u6766)) | hBOOL(hAPP(_u6762, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3184, plain, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6767), _u6765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6765), _u6767)) )).
% 12.29/12.53 cnf(matrix-3185, plain, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6767), _u6765)) | ~hBOOL(hAPP(_u6763, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3186, plain, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | ~hBOOL(hAPP(_u6763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6765)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6767)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6765), _u6767)) )).
% 12.29/12.53 cnf(matrix-3187, plain, ( hBOOL(hAPP(_u6763, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6765), _u6767)))) | ~hBOOL(hAPP(_u6763, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6765)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6767)))) | ~hBOOL(hAPP(_u6763, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3188, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6769, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem134(_u6772, _u6771, _u6770, _u6769))), _u6770)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, 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), skolem134(_u6772, _u6771, _u6770, _u6769)), _u6771))), _u6772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6769, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6770)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6769, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6772))) )).
% 12.29/12.53 cnf(matrix-3189, 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), _u6773))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6774))) )).
% 12.29/12.53 cnf(matrix-3190, 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), _u6775))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3191, 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), _u6776))) )).
% 12.29/12.53 cnf(matrix-3192, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6779) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6781)) | ( _u6779 = _u6781) )).
% 12.29/12.53 cnf(matrix-3193, plain, ( ( _u6780 != _u6782) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6780) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6782)) )).
% 12.29/12.53 cnf(matrix-3194, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3195, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3196, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6783), _u6784) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6783 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6783), _u6784) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6784 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3199, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6783)) | ( _u6783 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6784 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6783), _u6784) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3200, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6785), _u6786)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6787)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6787), _u6785)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6787), _u6786))) )).
% 12.29/12.53 cnf(matrix-3201, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6788)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6789)))) )).
% 12.29/12.53 cnf(matrix-3202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6790)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6793), _u6795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6793), _u6795)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6794), _u6796)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6794), _u6796)) )).
% 12.29/12.53 cnf(matrix-3205, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6797), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u6797) )).
% 12.29/12.53 cnf(matrix-3206, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6798) = _u6798) )).
% 12.29/12.53 cnf(matrix-3207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6803), _u6805)) | ( _u6805 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6803), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem135(_u6805, _u6803)))) )).
% 12.29/12.53 cnf(matrix-3208, plain, ( ( _u6806 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6804), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6800))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6804), _u6806)) )).
% 12.29/12.53 cnf(matrix-3209, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6807)), _u6807) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3210, 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)), _u6808)), 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), _u6809), _u6808))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u6808), _u6809)) )).
% 12.29/12.53 cnf(matrix-3211, 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)), _u6810))) )).
% 12.29/12.53 cnf(matrix-3212, 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)), _u6811)), _u6811) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6813)) )).
% 12.29/12.53 cnf(matrix-3214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6814)) )).
% 12.29/12.53 cnf(matrix-3215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6815)) | 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)), _u6815))) )).
% 12.29/12.53 cnf(matrix-3216, 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)), _u6817)), _u6817)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6817), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6818), 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)), _u6818)), _u6818)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6821), _u6823)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6823, _u6821) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3219, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6822), _u6824)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6824, _u6822) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u6824), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6824), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6822))) )).
% 12.29/12.53 cnf(matrix-3220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6827), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6829), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6827), _u6829)) )).
% 12.29/12.53 cnf(matrix-3221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6828), _u6830)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6828), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6830), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.53 cnf(matrix-3222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6833), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6835), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6833), _u6835)) | ( _u6833 = _u6835) )).
% 12.29/12.53 cnf(matrix-3223, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6834), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6836), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6834), _u6836)) )).
% 12.29/12.53 cnf(matrix-3224, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6834), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6836), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u6834 != _u6836) )).
% 12.29/12.53 cnf(matrix-3225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6837), _u6838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6837), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6838)) )).
% 12.29/12.53 cnf(matrix-3226, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6841), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6841), _u6843)) )).
% 12.29/12.53 cnf(matrix-3227, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6842), _u6844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6842), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6844)) )).
% 12.29/12.53 cnf(matrix-3228, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6847), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6849), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6847), _u6849)) )).
% 12.29/12.53 cnf(matrix-3229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6848), _u6850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6848), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6850), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.53 cnf(matrix-3230, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6851), _u6852)), _u6853) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6851), _u6853)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6852), _u6853))) )).
% 12.29/12.53 cnf(matrix-3231, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6854), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6855), _u6856)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6854), _u6855)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6854), _u6856))) )).
% 12.29/12.53 cnf(matrix-3232, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6857), _u6858)), _u6859) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6857), _u6859)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6858), _u6859))) )).
% 12.29/12.53 cnf(matrix-3233, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6860), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6861), _u6862)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6860), _u6861)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6860), _u6862))) )).
% 12.29/12.53 cnf(matrix-3234, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6863), _u6864) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6863), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6864))) )).
% 12.29/12.53 cnf(matrix-3235, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6865), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6866)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6865), _u6866)) )).
% 12.29/12.53 cnf(matrix-3236, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6867), _u6868)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6867)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6868))) )).
% 12.29/12.53 cnf(matrix-3237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6869), _u6870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6871), _u6869)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6871), _u6870))) )).
% 12.29/12.53 cnf(matrix-3238, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6872), _u6873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6873), _u6872)) )).
% 12.29/12.53 cnf(matrix-3239, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6874), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6875), _u6876)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6874), _u6876))) )).
% 12.29/12.53 cnf(matrix-3240, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6877), _u6878)), _u6879) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6877), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6878), _u6879))) )).
% 12.29/12.53 cnf(matrix-3241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6882), _u6884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6882), _u6884)) )).
% 12.29/12.53 cnf(matrix-3242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6882), _u6884)) | ( _u6882 != _u6884) )).
% 12.29/12.53 cnf(matrix-3243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6883), _u6885)) | ( _u6883 = _u6885) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6883), _u6885)) )).
% 12.29/12.53 cnf(matrix-3244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6886), _u6887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6888), _u6889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6886), _u6888)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6887), _u6889))) )).
% 12.29/12.53 cnf(matrix-3245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6890), _u6891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6890), _u6892)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6891), _u6892))) )).
% 12.29/12.53 cnf(matrix-3246, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6893), _u6894)) | ( _u6893 = _u6894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6894), _u6893)) )).
% 12.29/12.53 cnf(matrix-3247, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6895)), _u6896) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6895), _u6896))) )).
% 12.29/12.53 cnf(matrix-3248, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6897), _u6898) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6898), _u6897)) )).
% 12.29/12.53 cnf(matrix-3249, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6899), _u6900)), _u6901) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6900), _u6901))) )).
% 12.29/12.53 cnf(matrix-3250, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6902), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u6902) )).
% 12.29/12.53 cnf(matrix-3251, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6903) = _u6903) )).
% 12.29/12.53 cnf(matrix-3252, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6904)) = _u6904) )).
% 12.29/12.53 cnf(matrix-3253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6905), _u6906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6906), _u6905)) | ( _u6905 = _u6906) )).
% 12.29/12.53 cnf(matrix-3254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6907), _u6908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6908), _u6909)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6907), _u6909)) )).
% 12.29/12.53 cnf(matrix-3255, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6910), _u6911)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6911), _u6910)) )).
% 12.29/12.53 cnf(matrix-3256, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6912), _u6912)) )).
% 12.29/12.53 cnf(matrix-3257, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6913), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u6914) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u6913, _u6914)) )).
% 12.29/12.53 cnf(matrix-3258, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6915), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6916) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u6915, _u6916)) )).
% 12.29/12.53 cnf(matrix-3259, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u6917), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6918), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6917, _u6918)) )).
% 12.29/12.53 cnf(matrix-3260, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6919)) | ( _u6919 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6919), _u6921))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6920), _u6919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6921)) )).
% 12.29/12.53 cnf(matrix-3261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6922)) | ( _u6922 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6922), _u6924))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6923)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6924), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3262, 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), _u6925), _u6926)), _u6927))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6927), _u6925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6926)) )).
% 12.29/12.53 cnf(matrix-3263, 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), _u6928), _u6929)), _u6930)), 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)), _u6930)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6929), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3264, 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), _u6931), _u6932)), _u6933)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6931), _u6934)), _u6935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6933), _u6931)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6935), _u6931)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6932), _u6934)) )).
% 12.29/12.53 cnf(matrix-3265, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6936), _u6937)), _u6938) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6939), _u6940)), _u6941)) | ~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), _u6939), _u6940)), _u6941))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6941), _u6939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6938)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6939)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6939), _u6936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6937), _u6940)) )).
% 12.29/12.53 cnf(matrix-3266, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u6942, _u6943))) )).
% 12.29/12.53 cnf(matrix-3267, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u6944), _u6945))) )).
% 12.29/12.53 cnf(matrix-3268, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u6946, _u6947))) )).
% 12.29/12.53 cnf(matrix-3269, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u6948, _u6949))) )).
% 12.29/12.53 cnf(matrix-3270, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3271, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6950), _u6951)), _u6952) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6953), _u6954)), _u6955)) | ~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), _u6953), _u6954)), _u6955)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6952), _u6950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6953), _u6950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6954), _u6951)) )).
% 12.29/12.53 cnf(matrix-3272, 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), _u6956), _u6957)), _u6958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6956), _u6959)), _u6960))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6960), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6956), _u6960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6956), _u6958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6959), _u6957)) )).
% 12.29/12.53 cnf(matrix-3273, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3274, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6962)) | 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)), _u6962))) )).
% 12.29/12.53 cnf(matrix-3275, 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)), _u6963))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u6963)) )).
% 12.29/12.53 cnf(matrix-3276, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3277, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6964)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6965)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6964), _u6965))) )).
% 12.29/12.53 cnf(matrix-3278, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6966)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6967)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6966), _u6967))) )).
% 12.29/12.53 cnf(matrix-3279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6970)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6970), _u6972)) )).
% 12.29/12.53 cnf(matrix-3280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6971), _u6973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6971)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6973))) )).
% 12.29/12.53 cnf(matrix-3281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6976), _u6978)) | 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)), _u6976)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6978))) )).
% 12.29/12.53 cnf(matrix-3282, 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)), _u6977)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6977), _u6979)) )).
% 12.29/12.53 cnf(matrix-3283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6982), _u6984)) | 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)), _u6982)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6984))) )).
% 12.29/12.53 cnf(matrix-3284, 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)), _u6983)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6985))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u6983), _u6985)) )).
% 12.29/12.53 cnf(matrix-3285, plain, ( ( _u6988 != _u6990) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6988) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6990)) )).
% 12.29/12.53 cnf(matrix-3286, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6989) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6991)) | ( _u6989 = _u6991) )).
% 12.29/12.53 cnf(matrix-3287, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6994), _u6996)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6994)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6996))) )).
% 12.29/12.53 cnf(matrix-3288, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6995)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u6997))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u6995), _u6997)) )).
% 12.29/12.53 cnf(matrix-3289, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7000) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7002)) | ( _u7000 = _u7002) )).
% 12.29/12.53 cnf(matrix-3290, plain, ( ( _u7001 != _u7003) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7001) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7003)) )).
% 12.29/12.53 cnf(matrix-3291, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3292, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7005)) | 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), _u7004), _u7005))) )).
% 12.29/12.53 cnf(matrix-3294, 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), _u7006))) )).
% 12.29/12.53 cnf(matrix-3295, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7007)) | ~hBOOL(hAPP(_u7012, _u7007)) | hBOOL(hAPP(_u7012, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem136(_u7012)))) )).
% 12.29/12.53 cnf(matrix-3296, plain, ( ~hBOOL(hAPP(_u7013, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7009))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem137(_u7013))) )).
% 12.29/12.53 cnf(matrix-3297, plain, ( ~hBOOL(hAPP(_u7013, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7009))) | hBOOL(hAPP(_u7013, skolem137(_u7013))) )).
% 12.29/12.53 cnf(matrix-3298, plain, ( hBOOL(hAPP(_u7019, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7015))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem138(_u7019))) )).
% 12.29/12.53 cnf(matrix-3299, plain, ( hBOOL(hAPP(_u7019, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7015))) | ~hBOOL(hAPP(_u7019, skolem138(_u7019))) )).
% 12.29/12.53 cnf(matrix-3300, plain, ( ~hBOOL(hAPP(_u7020, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem139(_u7020)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7017)) | hBOOL(hAPP(_u7020, _u7017)) )).
% 12.29/12.53 cnf(matrix-3301, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7022)) | 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), _u7021), _u7022))) )).
% 12.29/12.53 cnf(matrix-3303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7025)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7027))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7025), _u7027)) )).
% 12.29/12.53 cnf(matrix-3304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7026), _u7028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7026)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7028))) )).
% 12.29/12.53 cnf(matrix-3305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem140(_u7034, _u7033, _u7032, _u7031)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7032))) )).
% 12.29/12.53 cnf(matrix-3306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem141(_u7034, _u7033, _u7032, _u7031)), _u7033)) )).
% 12.29/12.53 cnf(matrix-3307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), _u7031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7034), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7031), _u7032))) | ( _u7031 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem141(_u7034, _u7033, _u7032, _u7031)), skolem140(_u7034, _u7033, _u7032, _u7031))) )).
% 12.29/12.53 cnf(matrix-3308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7037), _u7040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7037), _u7038)), _u7040)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem142(_u7040, _u7039, _u7038, _u7037)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7038))) )).
% 12.29/12.53 cnf(matrix-3309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7037), _u7040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7037), _u7038)), _u7040)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem143(_u7040, _u7039, _u7038, _u7037)), _u7039)) )).
% 12.29/12.53 cnf(matrix-3310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7038)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7037), _u7040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7037), _u7038)), _u7040)) | ( _u7037 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem143(_u7040, _u7039, _u7038, _u7037)), skolem142(_u7040, _u7039, _u7038, _u7037))) )).
% 12.29/12.53 cnf(matrix-3311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7044)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7045), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7043), _u7045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7043), _u7044)), _u7045)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem144(_u7046, _u7045, _u7044, _u7043)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7044))) )).
% 12.29/12.53 cnf(matrix-3312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7044)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7045), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7043), _u7045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7043), _u7044)), _u7045)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem145(_u7046, _u7045, _u7044, _u7043)), _u7046)) )).
% 12.29/12.53 cnf(matrix-3313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7044)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7045), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7043), _u7045)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7043), _u7044)), _u7045)) | ( _u7043 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem145(_u7046, _u7045, _u7044, _u7043)), skolem144(_u7046, _u7045, _u7044, _u7043))) )).
% 12.29/12.53 cnf(matrix-3314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7050)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7051), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7049), _u7050))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem146(_u7052, _u7051, _u7050, _u7049)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7050))) )).
% 12.29/12.53 cnf(matrix-3315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7050)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7051), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7049), _u7050))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem147(_u7052, _u7051, _u7050, _u7049)), _u7052)) )).
% 12.29/12.53 cnf(matrix-3316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7050)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7051), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), _u7049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7051), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7049), _u7050))) | ( _u7049 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem147(_u7052, _u7051, _u7050, _u7049)), skolem146(_u7052, _u7051, _u7050, _u7049))) )).
% 12.29/12.53 cnf(matrix-3317, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7055), _u7056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7055, tc_HOL_Obool)), _u7057), _u7056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7057)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7056))) | hBOOL(hAPP(hAPP(c_member(_u7055), skolem148(_u7058, _u7057, _u7056, _u7055, _u7054)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7055, tc_HOL_Obool)), _u7056), _u7057))) )).
% 12.29/12.53 cnf(matrix-3318, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u7054) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7055), _u7056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7055, tc_HOL_Obool)), _u7057), _u7056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7057)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7055, _u7054), _u7058), _u7056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7054), c_Groups_Ozero__class_Ozero(_u7054)), hAPP(_u7058, skolem148(_u7058, _u7057, _u7056, _u7055, _u7054)))) )).
% 12.29/12.53 cnf(matrix-3319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.29/12.53 cnf(matrix-3320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.29/12.53 cnf(matrix-3321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.29/12.53 cnf(matrix-3322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.29/12.53 cnf(matrix-3323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.29/12.53 cnf(matrix-3324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem153(_u7066, _u7065)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.29/12.53 cnf(matrix-3325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.29/12.53 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(_u7066, _u7061)) | hBOOL(hAPP(_u7066, skolem153(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.29/12.53 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.29/12.53 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | hBOOL(hAPP(_u7066, skolem149(_u7066, _u7065))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.29/12.53 cnf(matrix-3329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | ~hBOOL(hAPP(_u7066, skolem151(_u7066, _u7065))) )).
% 12.29/12.53 cnf(matrix-3330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7065)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7063), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7065))) | ~hBOOL(hAPP(_u7066, _u7063)) | hBOOL(hAPP(_u7066, skolem154(_u7066, _u7065))) | ~hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem149(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem150(_u7066, _u7065)), _u7065)))) | hBOOL(hAPP(_u7066, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem151(_u7066, _u7065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem152(_u7066, _u7065)), _u7065)))) )).
% 12.29/12.53 cnf(matrix-3331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7074)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7075), _u7076)) | ( _u7073 = _u7075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7073), _u7074) != _u7075) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem155(_u7076, _u7075, _u7074, _u7073)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7074))) )).
% 12.29/12.53 cnf(matrix-3332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7074)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7075), _u7076)) | ( _u7073 = _u7075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7073), _u7074) != _u7075) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem156(_u7076, _u7075, _u7074, _u7073)), _u7076)) )).
% 12.29/12.53 cnf(matrix-3333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7074)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7075), _u7076)) | ( _u7073 = _u7075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7073), _u7074) != _u7075) | ( _u7073 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem156(_u7076, _u7075, _u7074, _u7073)), skolem155(_u7076, _u7075, _u7074, _u7073))) )).
% 12.29/12.53 cnf(matrix-3334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7080)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7081), _u7082)) | ( _u7079 = _u7081) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7079), _u7080) != _u7081) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem157(_u7082, _u7081, _u7080, _u7079)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7080))) )).
% 12.29/12.53 cnf(matrix-3335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7080)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7081), _u7082)) | ( _u7079 = _u7081) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7079), _u7080) != _u7081) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem158(_u7082, _u7081, _u7080, _u7079)), _u7082)) )).
% 12.29/12.53 cnf(matrix-3336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7080)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7081), _u7082)) | ( _u7079 = _u7081) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7079), _u7080) != _u7081) | ( _u7079 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem158(_u7082, _u7081, _u7080, _u7079)), skolem157(_u7082, _u7081, _u7080, _u7079))) )).
% 12.29/12.53 cnf(matrix-3337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7086)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7087), _u7088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), _u7085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7085), _u7086))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem159(_u7088, _u7087, _u7086, _u7085)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7086))) )).
% 12.29/12.53 cnf(matrix-3338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7086)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7087), _u7088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), _u7085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7085), _u7086))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem160(_u7088, _u7087, _u7086, _u7085)), _u7088)) )).
% 12.29/12.53 cnf(matrix-3339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7086)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7087), _u7088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), _u7085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7087), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7085), _u7086))) | ( _u7085 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem160(_u7088, _u7087, _u7086, _u7085)), skolem159(_u7088, _u7087, _u7086, _u7085))) )).
% 12.29/12.53 cnf(matrix-3340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7092)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7091), _u7093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7091), _u7092)), _u7093)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem161(_u7094, _u7093, _u7092, _u7091)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7092))) )).
% 12.29/12.53 cnf(matrix-3341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7092)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7091), _u7093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7091), _u7092)), _u7093)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem162(_u7094, _u7093, _u7092, _u7091)), _u7094)) )).
% 12.29/12.53 cnf(matrix-3342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7092)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7093), _u7094)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7091), _u7093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7091), _u7092)), _u7093)) | ( _u7091 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem162(_u7094, _u7093, _u7092, _u7091)), skolem161(_u7094, _u7093, _u7092, _u7091))) )).
% 12.29/12.53 cnf(matrix-3343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7097)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), _u7097) = _u7098) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem163(_u7099, _u7098, _u7097)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7097))) )).
% 12.29/12.53 cnf(matrix-3344, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7097)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), _u7097) = _u7098) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem164(_u7099, _u7098, _u7097)), _u7099)) )).
% 12.29/12.53 cnf(matrix-3345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7097)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7099)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7098), _u7097) = _u7098) | ( _u7098 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem164(_u7099, _u7098, _u7097)), skolem163(_u7099, _u7098, _u7097))) )).
% 12.29/12.53 cnf(matrix-3346, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), _u7102) = _u7103) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem165(_u7104, _u7103, _u7102)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7102))) )).
% 12.29/12.53 cnf(matrix-3347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), _u7102) = _u7103) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem166(_u7104, _u7103, _u7102)), _u7104)) )).
% 12.29/12.53 cnf(matrix-3348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7102)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u7104)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7103), _u7102) = _u7103) | ( _u7103 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem166(_u7104, _u7103, _u7102)), skolem165(_u7104, _u7103, _u7102))) )).
% 12.29/12.53 cnf(matrix-3349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), _u7107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7107), _u7108))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem167(_u7110, _u7109, _u7108, _u7107)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7108))) )).
% 12.29/12.53 cnf(matrix-3350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), _u7107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7107), _u7108))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem168(_u7110, _u7109, _u7108, _u7107)), _u7109)) )).
% 12.29/12.53 cnf(matrix-3351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), _u7107)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7107), _u7108))) | ( _u7107 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem168(_u7110, _u7109, _u7108, _u7107)), skolem167(_u7110, _u7109, _u7108, _u7107))) )).
% 12.29/12.53 cnf(matrix-3352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7113), _u7116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7113), _u7114)), _u7116)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem169(_u7116, _u7115, _u7114, _u7113)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u7114))) )).
% 12.29/12.53 cnf(matrix-3353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7113), _u7116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7113), _u7114)), _u7116)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem170(_u7116, _u7115, _u7114, _u7113)), _u7115)) )).
% 12.29/12.53 cnf(matrix-3354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7113), _u7116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7113), _u7114)), _u7116)) | ( _u7113 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem170(_u7116, _u7115, _u7114, _u7113)), skolem169(_u7116, _u7115, _u7114, _u7113))) )).
% 12.29/12.53 cnf(matrix-3355, plain, ( ~class_Groups_Ocomm__monoid__add(_u7118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7120)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7121)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7119, tc_HOL_Obool)), _u7120), _u7121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7120)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7121))) | hBOOL(hAPP(hAPP(c_member(_u7119), skolem171(_u7122, _u7121, _u7120, _u7119, _u7118)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7119, tc_HOL_Obool)), _u7120), _u7121))) )).
% 12.29/12.53 cnf(matrix-3356, plain, ( ~class_Groups_Ocomm__monoid__add(_u7118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7120)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7119), _u7121)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7119, tc_HOL_Obool)), _u7120), _u7121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7118), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7120)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7119, _u7118), _u7122), _u7121))) | ( hAPP(_u7122, skolem171(_u7122, _u7121, _u7120, _u7119, _u7118)) != c_Groups_Ozero__class_Ozero(_u7118)) )).
% 12.29/12.53 cnf(matrix-3357, plain, ( ~class_Groups_Ocomm__monoid__add(_u7124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7126)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7127)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7125, tc_HOL_Obool)), _u7126), _u7127)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7124), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7127))) | hBOOL(hAPP(hAPP(c_member(_u7125), skolem172(_u7128, _u7127, _u7126, _u7125, _u7124)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7125, tc_HOL_Obool)), _u7126), _u7127))) )).
% 12.29/12.53 cnf(matrix-3358, plain, ( ~class_Groups_Ocomm__monoid__add(_u7124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7126)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7125), _u7127)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7125, tc_HOL_Obool)), _u7126), _u7127)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7124), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7126)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7125, _u7124), _u7128), _u7127))) | ( hAPP(_u7128, skolem172(_u7128, _u7127, _u7126, _u7125, _u7124)) != c_Groups_Ozero__class_Ozero(_u7124)) )).
% 12.29/12.53 cnf(matrix-3359, plain, ( ~class_Groups_Ocomm__monoid__add(_u7130) | ~class_Groups_Oordered__ab__semigroup__add(_u7130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7131), _u7132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7131, tc_HOL_Obool)), _u7133), _u7132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7130), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7133)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7132))) | hBOOL(hAPP(hAPP(c_member(_u7131), skolem173(_u7134, _u7133, _u7132, _u7131, _u7130)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7131, tc_HOL_Obool)), _u7132), _u7133))) )).
% 12.29/12.53 cnf(matrix-3360, plain, ( ~class_Groups_Ocomm__monoid__add(_u7130) | ~class_Groups_Oordered__ab__semigroup__add(_u7130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7131), _u7132)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7131, tc_HOL_Obool)), _u7133), _u7132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7130), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7133)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7131, _u7130), _u7134), _u7132))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7130), c_Groups_Ozero__class_Ozero(_u7130)), hAPP(_u7134, skolem173(_u7134, _u7133, _u7132, _u7131, _u7130)))) )).
% 12.29/12.53 cnf(matrix-3361, plain, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | hBOOL(hAPP(hAPP(c_member(_u7138), skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)), _u7139)) )).
% 12.29/12.53 cnf(matrix-3362, plain, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | hBOOL(hAPP(hAPP(c_member(_u7138), skolem175(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)), _u7139)) )).
% 12.29/12.53 cnf(matrix-3363, plain, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | ( skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137) != skolem175(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)) )).
% 12.29/12.53 cnf(matrix-3364, plain, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | ( hAPP(_u7140, skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137)) = hAPP(_u7140, skolem175(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137))) )).
% 12.29/12.53 cnf(matrix-3365, plain, ( ~class_Groups_Ocomm__monoid__add(_u7137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7138), _u7139)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7142, _u7137), _u7141), hAPP(c_Set_Oimage(_u7138, _u7142, _u7140), _u7139)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7138, _u7137), hAPP(c_Fun_Ocomp(_u7142, _u7137, _u7138, _u7141), _u7140)), _u7139)) | ( hAPP(_u7141, hAPP(_u7140, skolem174(_u7142, _u7141, _u7140, _u7139, _u7138, _u7137))) != c_Groups_Ozero__class_Ozero(_u7137)) )).
% 12.29/12.53 cnf(matrix-3366, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem176(_u7147, _u7146, _u7145, _u7144))), _u7145) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, 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), skolem176(_u7147, _u7146, _u7145, _u7144)), _u7146))), _u7147)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7145) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7144, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7147)) )).
% 12.29/12.53 cnf(matrix-3367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7149, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7149, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem177(_u7151, _u7150, _u7149))), _u7150)), _u7151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7149, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u7149, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u7150)), _u7151)) )).
% 12.29/12.53 cnf(matrix-3368, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7154), _u7156)) | ( c_Nat__Transfer_Otsub(_u7156, _u7154) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7156), _u7154)) )).
% 12.29/12.53 cnf(matrix-3369, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7155), _u7157)) | ( c_Nat__Transfer_Otsub(_u7157, _u7155) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3370, plain, ( ~class_Rings_Olinordered__idom(_u7158) | ~hBOOL(hAPP(hAPP(c_member(_u7158), _u7159), c_Int_Oring__1__class_OInts(_u7158))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), c_Groups_Oone__class_Oone(_u7158)), _u7159)), _u7159)), c_Groups_Ozero__class_Ozero(_u7158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), _u7159), c_Groups_Ozero__class_Ozero(_u7158))) )).
% 12.29/12.53 cnf(matrix-3371, plain, ( ~class_Rings_Olinordered__idom(_u7158) | ~hBOOL(hAPP(hAPP(c_member(_u7158), _u7159), c_Int_Oring__1__class_OInts(_u7158))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), _u7159), c_Groups_Ozero__class_Ozero(_u7158))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7158), c_Groups_Oone__class_Oone(_u7158)), _u7159)), _u7159)), c_Groups_Ozero__class_Ozero(_u7158))) )).
% 12.29/12.53 cnf(matrix-3372, 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), _u7160)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u7161))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7162))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7162), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7160), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7162), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7161))))) )).
% 12.29/12.53 cnf(matrix-3373, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7163), _u7164)) | ~hBOOL(hAPP(hAPP(c_member(_u7163), _u7165), _u7164)) | ( hAPP(c_Finite__Set_Ocard(_u7163), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7163, tc_HOL_Obool)), _u7164), hAPP(hAPP(c_Set_Oinsert(_u7163), _u7165), c_Orderings_Obot__class_Obot(tc_fun(_u7163, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7163), _u7164)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3374, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7166), hAPP(c_Nat_OSuc, _u7166))) )).
% 12.29/12.53 cnf(matrix-3375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7167), _u7168)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7167)), hAPP(c_Nat_OSuc, _u7168))) )).
% 12.29/12.53 cnf(matrix-3376, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u7169))) )).
% 12.29/12.53 cnf(matrix-3377, 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, _u7170)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7171))) )).
% 12.29/12.53 cnf(matrix-3378, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7172)) = hAPP(c_Nat_OSuc, _u7172)) )).
% 12.29/12.53 cnf(matrix-3379, plain, ( ( _u7173 != hAPP(c_Nat_OSuc, _u7173)) )).
% 12.29/12.53 cnf(matrix-3380, plain, ( ( hAPP(c_Nat_OSuc, _u7174) != _u7174) )).
% 12.29/12.53 cnf(matrix-3381, plain, ( ( hAPP(c_Nat_OSuc, _u7177) != hAPP(c_Nat_OSuc, _u7179)) | ( _u7177 = _u7179) )).
% 12.29/12.53 cnf(matrix-3382, plain, ( ( _u7178 != _u7180) | ( hAPP(c_Nat_OSuc, _u7178) = hAPP(c_Nat_OSuc, _u7180)) )).
% 12.29/12.53 cnf(matrix-3383, plain, ( ( hAPP(c_Nat_OSuc, _u7181) != hAPP(c_Nat_OSuc, _u7182)) | ( _u7181 = _u7182) )).
% 12.29/12.53 cnf(matrix-3384, plain, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 12.29/12.53 cnf(matrix-3385, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7183) = 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)), _u7183))) )).
% 12.29/12.53 cnf(matrix-3386, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7184, _u7185)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7185)), _u7184)) )).
% 12.29/12.53 cnf(matrix-3387, plain, ( ~class_Orderings_Oorder(_u7188) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u7188, _u7189) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7188), hAPP(_u7189, _u7186)), hAPP(_u7189, hAPP(c_Nat_OSuc, _u7186)))) )).
% 12.29/12.53 cnf(matrix-3388, plain, ( ~class_Orderings_Oorder(_u7188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7188), hAPP(_u7189, skolem178(_u7189, _u7188))), hAPP(_u7189, hAPP(c_Nat_OSuc, skolem178(_u7189, _u7188))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u7188, _u7189) )).
% 12.29/12.53 cnf(matrix-3389, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3390, plain, ( ( hAPP(c_Nat_OSuc, _u7190) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3391, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7191)) )).
% 12.29/12.53 cnf(matrix-3392, plain, ( ( hAPP(c_Nat_OSuc, _u7192) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3393, plain, ( ( hAPP(c_Nat_OSuc, _u7193) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3394, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7194)) )).
% 12.29/12.53 cnf(matrix-3395, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u7195)) )).
% 12.29/12.53 cnf(matrix-3396, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7198), _u7200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7200), hAPP(c_Nat_OSuc, _u7198))) )).
% 12.29/12.53 cnf(matrix-3397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7201), hAPP(c_Nat_OSuc, _u7199))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7199), _u7201)) )).
% 12.29/12.53 cnf(matrix-3398, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7204), hAPP(c_Nat_OSuc, _u7206))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7204), _u7206)) | ( _u7204 = _u7206) )).
% 12.29/12.53 cnf(matrix-3399, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7205), hAPP(c_Nat_OSuc, _u7207))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7205), _u7207)) )).
% 12.29/12.53 cnf(matrix-3400, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7205), hAPP(c_Nat_OSuc, _u7207))) | ( _u7205 != _u7207) )).
% 12.29/12.53 cnf(matrix-3401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7210)), hAPP(c_Nat_OSuc, _u7212))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7210), _u7212)) )).
% 12.29/12.53 cnf(matrix-3402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7211), _u7213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7211)), hAPP(c_Nat_OSuc, _u7213))) )).
% 12.29/12.53 cnf(matrix-3403, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), _u7215)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), hAPP(c_Nat_OSuc, _u7215))) | ( _u7214 = _u7215) )).
% 12.29/12.53 cnf(matrix-3404, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), _u7215)) | ( _u7214 != _u7215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7214), hAPP(c_Nat_OSuc, _u7215))) )).
% 12.29/12.53 cnf(matrix-3405, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7216), _u7217)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7216), hAPP(c_Nat_OSuc, _u7217))) | ( _u7217 = _u7216) )).
% 12.29/12.53 cnf(matrix-3406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7218), _u7219)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7218), hAPP(c_Nat_OSuc, _u7219))) )).
% 12.29/12.53 cnf(matrix-3407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7220), _u7221)) | ( hAPP(c_Nat_OSuc, _u7220) = _u7221) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7220)), _u7221)) )).
% 12.29/12.53 cnf(matrix-3408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7222), _u7223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7223), _u7224)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7222)), _u7224)) )).
% 12.29/12.53 cnf(matrix-3409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7225), hAPP(c_Nat_OSuc, _u7226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7225), _u7226)) | ( _u7225 = _u7226) )).
% 12.29/12.53 cnf(matrix-3410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7227)), _u7228)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7227), _u7228)) )).
% 12.29/12.53 cnf(matrix-3411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7229)), hAPP(c_Nat_OSuc, _u7230))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7229), _u7230)) )).
% 12.29/12.53 cnf(matrix-3412, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7231)), _u7232) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7231), hAPP(c_Nat_OSuc, _u7232))) )).
% 12.29/12.53 cnf(matrix-3413, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7233)), _u7234) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7233), _u7234))) )).
% 12.29/12.53 cnf(matrix-3414, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7235), hAPP(c_Nat_OSuc, _u7236)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7235), _u7236))) )).
% 12.29/12.53 cnf(matrix-3415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7237)), _u7237)) )).
% 12.29/12.53 cnf(matrix-3416, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7240), _u7242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7242)), _u7240)) )).
% 12.29/12.53 cnf(matrix-3417, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7243)), _u7241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7241), _u7243)) )).
% 12.29/12.53 cnf(matrix-3418, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7246), hAPP(c_Nat_OSuc, _u7248))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7246), _u7248)) | ( _u7246 = hAPP(c_Nat_OSuc, _u7248)) )).
% 12.29/12.53 cnf(matrix-3419, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7247), hAPP(c_Nat_OSuc, _u7249))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7247), _u7249)) )).
% 12.29/12.53 cnf(matrix-3420, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7247), hAPP(c_Nat_OSuc, _u7249))) | ( _u7247 != hAPP(c_Nat_OSuc, _u7249)) )).
% 12.29/12.53 cnf(matrix-3421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7252)), hAPP(c_Nat_OSuc, _u7254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7252), _u7254)) )).
% 12.29/12.53 cnf(matrix-3422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7253), _u7255)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7253)), hAPP(c_Nat_OSuc, _u7255))) )).
% 12.29/12.53 cnf(matrix-3423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7256), _u7257)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7256), hAPP(c_Nat_OSuc, _u7257))) )).
% 12.29/12.53 cnf(matrix-3424, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7258), hAPP(c_Nat_OSuc, _u7259))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7258), _u7259)) | ( _u7258 = hAPP(c_Nat_OSuc, _u7259)) )).
% 12.29/12.53 cnf(matrix-3425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7260)), _u7261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7260), _u7261)) )).
% 12.29/12.53 cnf(matrix-3426, plain, ( ~c_Fun_Obij__betw(_u7262, _u7263, _u7264, _u7265, _u7266) | ( hAPP(c_Finite__Set_Ocard(_u7262), _u7265) = hAPP(c_Finite__Set_Ocard(_u7263), _u7266)) )).
% 12.29/12.53 cnf(matrix-3427, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7267)), hAPP(c_Nat_OSuc, _u7268)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7267), _u7268)) )).
% 12.29/12.53 cnf(matrix-3428, 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, _u7269)), _u7270)), hAPP(c_Nat_OSuc, _u7271)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7269), _u7270)), _u7271)) )).
% 12.29/12.53 cnf(matrix-3429, plain, ( ( _u7277 = _u7279) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7275)), _u7277) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7275)), _u7279)) )).
% 12.29/12.53 cnf(matrix-3430, plain, ( ( _u7278 != _u7280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7276)), _u7278) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7276)), _u7280)) )).
% 12.29/12.53 cnf(matrix-3431, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7281, _u7282)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7282), hAPP(c_Nat_OSuc, _u7281))) )).
% 12.29/12.53 cnf(matrix-3432, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7283)) = _u7283) )).
% 12.29/12.53 cnf(matrix-3433, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7284), _u7285)) | ~hBOOL(hAPP(hAPP(c_member(_u7284), _u7286), _u7285)) | ( hAPP(c_Finite__Set_Ocard(_u7284), hAPP(hAPP(c_Set_Oinsert(_u7284), _u7286), _u7285)) = hAPP(c_Finite__Set_Ocard(_u7284), _u7285)) )).
% 12.29/12.53 cnf(matrix-3434, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7284), _u7285)) | hBOOL(hAPP(hAPP(c_member(_u7284), _u7286), _u7285)) | ( hAPP(c_Finite__Set_Ocard(_u7284), hAPP(hAPP(c_Set_Oinsert(_u7284), _u7286), _u7285)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7284), _u7285))) )).
% 12.29/12.53 cnf(matrix-3435, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7287), _u7288)) | hBOOL(hAPP(hAPP(c_member(_u7287), _u7289), _u7288)) | ( hAPP(c_Finite__Set_Ocard(_u7287), hAPP(hAPP(c_Set_Oinsert(_u7287), _u7289), _u7288)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7287), _u7288))) )).
% 12.29/12.53 cnf(matrix-3436, plain, ( ~hBOOL(hAPP(_u7290, _u7291)) | hBOOL(hAPP(_u7290, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u7290) = 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), _u7290), c_Nat_OSuc)))) )).
% 12.29/12.53 cnf(matrix-3437, plain, ( ~class_Rings_Osemiring__1(_u7292) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7292, _u7293, hAPP(c_Nat_OSuc, _u7294), _u7295) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7292, _u7293, _u7294, hAPP(_u7293, _u7295))) )).
% 12.29/12.53 cnf(matrix-3438, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7296), _u7297)) | ( hAPP(c_Finite__Set_Ocard(_u7296), hAPP(hAPP(c_Set_Oinsert(_u7296), _u7298), _u7297)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7296), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7296, tc_HOL_Obool)), _u7297), hAPP(hAPP(c_Set_Oinsert(_u7296), _u7298), c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-3439, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7299), c_Orderings_Obot__class_Obot(tc_fun(_u7299, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3440, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7300), _u7301)) | ( hAPP(c_Finite__Set_Ocard(_u7300), _u7301) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3441, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u7302) )).
% 12.29/12.53 cnf(matrix-3442, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7303), c_Orderings_Otop__class_Otop(tc_fun(_u7303, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7303), _u7304) != hAPP(c_Finite__Set_Ocard(_u7303), c_Orderings_Otop__class_Otop(tc_fun(_u7303, tc_HOL_Obool)))) | ( _u7304 = c_Orderings_Otop__class_Otop(tc_fun(_u7303, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3443, plain, ( ~c_Fun_Oinj__on(_u7305, _u7306, _u7307, _u7308) | ( hAPP(c_Finite__Set_Ocard(_u7306), hAPP(c_Set_Oimage(_u7305, _u7306, _u7307), _u7308)) = hAPP(c_Finite__Set_Ocard(_u7305), _u7308)) )).
% 12.29/12.53 cnf(matrix-3444, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7311), _u7312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7313), _u7314)) | ~c_Fun_Obij__betw(_u7311, _u7313, _u7309, _u7312, _u7314) | ( hAPP(c_Finite__Set_Ocard(_u7311), _u7312) = hAPP(c_Finite__Set_Ocard(_u7313), _u7314)) )).
% 12.29/12.53 cnf(matrix-3445, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7311), _u7312)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7313), _u7314)) | ( hAPP(c_Finite__Set_Ocard(_u7311), _u7312) != hAPP(c_Finite__Set_Ocard(_u7313), _u7314)) | c_Fun_Obij__betw(_u7311, _u7313, skolem179(_u7314, _u7313, _u7312, _u7311), _u7312, _u7314) )).
% 12.29/12.53 cnf(matrix-3446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7319), hAPP(c_Nat_OSuc, _u7321))) | ( _u7319 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7319 = hAPP(c_Nat_OSuc, skolem180(_u7321, _u7319))) )).
% 12.29/12.53 cnf(matrix-3447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7319), hAPP(c_Nat_OSuc, _u7321))) | ( _u7319 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem180(_u7321, _u7319)), _u7321)) )).
% 12.29/12.53 cnf(matrix-3448, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7320), hAPP(c_Nat_OSuc, _u7322))) | ( _u7320 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3449, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7320), hAPP(c_Nat_OSuc, _u7322))) | ( _u7320 != hAPP(c_Nat_OSuc, _u7316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7316), _u7322)) )).
% 12.29/12.53 cnf(matrix-3450, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7324), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u7324 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3451, plain, ( ( _u7325 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7325), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.53 cnf(matrix-3452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7329)) | ( _u7329 = hAPP(c_Nat_OSuc, skolem181(_u7329))) )).
% 12.29/12.53 cnf(matrix-3453, plain, ( ( _u7330 != hAPP(c_Nat_OSuc, _u7327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7330)) )).
% 12.29/12.53 cnf(matrix-3454, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7333), _u7335)) | ( _u7333 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7333 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3455, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7333), _u7335)) | ( _u7333 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7335 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3456, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7333), _u7335)) | ( _u7335 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7333 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3457, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7333), _u7335)) | ( _u7335 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7335 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3458, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7334), _u7336)) | ( _u7334 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7336 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3459, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7334), _u7336)) | ( _u7334 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7336 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3460, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7339 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7339 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3461, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7339 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7341 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3462, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7341 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7339 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3463, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7339), _u7341) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7341 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7341 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3464, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7340), _u7342) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7340 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7342 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3465, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7340), _u7342) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7340 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7342 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3466, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7343), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7343), _u7344)))) )).
% 12.29/12.53 cnf(matrix-3467, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7345), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7346), _u7345)))) )).
% 12.29/12.53 cnf(matrix-3468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7351), _u7353)) | ( _u7353 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7351), skolem182(_u7353, _u7351)))) )).
% 12.29/12.53 cnf(matrix-3469, plain, ( ( _u7354 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7352), _u7348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7352), _u7354)) )).
% 12.29/12.53 cnf(matrix-3470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7357), _u7359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7357)), _u7359)) )).
% 12.29/12.53 cnf(matrix-3471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7358)), _u7360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7358), _u7360)) )).
% 12.29/12.53 cnf(matrix-3472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7363), hAPP(c_Nat_OSuc, _u7365))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7363), _u7365)) )).
% 12.29/12.53 cnf(matrix-3473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7364), _u7366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7364), hAPP(c_Nat_OSuc, _u7366))) )).
% 12.29/12.53 cnf(matrix-3474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7369)), _u7371)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7369), _u7371)) )).
% 12.29/12.53 cnf(matrix-3475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7370), _u7372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7370)), _u7372)) )).
% 12.29/12.53 cnf(matrix-3476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7373), _u7374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7373), hAPP(c_Nat_OSuc, _u7374))) )).
% 12.29/12.53 cnf(matrix-3477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7375), _u7376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7375)), _u7376)) )).
% 12.29/12.53 cnf(matrix-3478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7377), _u7378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7378), hAPP(c_Nat_OSuc, _u7377))) | ( _u7378 = _u7377) )).
% 12.29/12.53 cnf(matrix-3479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7377), _u7378)) | ( _u7378 != _u7377) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7378), hAPP(c_Nat_OSuc, _u7377))) )).
% 12.29/12.53 cnf(matrix-3480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7379)), _u7380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7379), _u7380)) )).
% 12.29/12.53 cnf(matrix-3481, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7383), _u7385) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7383 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3482, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7383), _u7385) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7385 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3483, plain, ( ( _u7384 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7386 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7384), _u7386) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3484, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7387), _u7388)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7388), _u7387)) )).
% 12.29/12.53 cnf(matrix-3485, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7389), _u7390)), hAPP(c_Nat_OSuc, _u7389))) )).
% 12.29/12.53 cnf(matrix-3486, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7396), _u7398)) | ~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, _u7394)), _u7396)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7394)), _u7398))) )).
% 12.29/12.53 cnf(matrix-3487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7397), _u7399)) | 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, _u7395)), _u7397)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7395)), _u7399))) )).
% 12.29/12.53 cnf(matrix-3488, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7400)), _u7401) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7400), _u7401))) )).
% 12.29/12.53 cnf(matrix-3489, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7402), hAPP(c_Nat_OSuc, _u7403)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7402), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7402), _u7403))) )).
% 12.29/12.53 cnf(matrix-3490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7404), _u7405)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7405)), _u7404) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7405), _u7404))) )).
% 12.29/12.53 cnf(matrix-3491, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7411), _u7413)) | ~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, _u7409)), _u7411)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7409)), _u7413))) )).
% 12.29/12.53 cnf(matrix-3492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7412), _u7414)) | 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, _u7410)), _u7412)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7410)), _u7414))) )).
% 12.29/12.53 cnf(matrix-3493, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3494, plain, ( ( hAPP(c_Nat_OSuc, _u7415) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7415), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3495, plain, ( ( hAPP(c_Nat_OSuc, _u7416) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u7416)) )).
% 12.29/12.53 cnf(matrix-3496, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7417)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u7417) )).
% 12.29/12.53 cnf(matrix-3497, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7418), hAPP(c_Nat_OSuc, _u7419)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7418), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7419)) )).
% 12.29/12.53 cnf(matrix-3498, plain, ( ( hAPP(_u7420, 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), _u7420), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7421)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7420), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7421))) )).
% 12.29/12.53 cnf(matrix-3499, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7422), _u7423)) | ~hBOOL(hAPP(hAPP(c_member(_u7422), _u7424), _u7423)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u7422), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7422, tc_HOL_Obool)), _u7423), hAPP(hAPP(c_Set_Oinsert(_u7422), _u7424), c_Orderings_Obot__class_Obot(tc_fun(_u7422, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u7422), _u7423)) )).
% 12.29/12.53 cnf(matrix-3500, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7425), hAPP(c_Nat_OSuc, _u7426)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7425, _u7426)) )).
% 12.29/12.53 cnf(matrix-3501, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7427) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7427))) )).
% 12.29/12.53 cnf(matrix-3502, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7428), _u7429) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7428, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7428), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7429)) )).
% 12.29/12.53 cnf(matrix-3503, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7430, _u7431)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7431), _u7430)) )).
% 12.29/12.53 cnf(matrix-3504, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7432)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7432)) )).
% 12.29/12.53 cnf(matrix-3505, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7433)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7433), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7433))) )).
% 12.29/12.53 cnf(matrix-3506, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7434), _u7435)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7434)), hAPP(c_Nat_OSuc, _u7435))) )).
% 12.29/12.53 cnf(matrix-3507, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7436)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7436)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7436))) )).
% 12.29/12.53 cnf(matrix-3508, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7437, _u7438)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7437, _u7438), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7438), c_Orderings_Otop__class_Otop(tc_fun(_u7438, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7437), c_Orderings_Otop__class_Otop(tc_fun(_u7437, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3509, plain, ( ~class_Groups_Ocomm__monoid__add(_u7439) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7439), _u7440), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7441)), hAPP(c_Nat_OSuc, _u7442))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7439), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7439, tc_Nat_Onat), _u7440), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7441), _u7442))) )).
% 12.29/12.53 cnf(matrix-3510, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7443, _u7444)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7443), hAPP(c_Nat_OSuc, _u7444))) )).
% 12.29/12.53 cnf(matrix-3511, plain, ( ~class_Groups_Ocomm__monoid__add(_u7445) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7445), _u7446), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7447), hAPP(c_Nat_OSuc, _u7448))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7445), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7445, tc_Nat_Onat), _u7446), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7447, _u7448))) )).
% 12.29/12.53 cnf(matrix-3512, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7451), _u7453) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7453 = c_Orderings_Obot__class_Obot(tc_fun(_u7451, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7451), _u7453)) )).
% 12.29/12.53 cnf(matrix-3513, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7452), _u7454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u7454 != c_Orderings_Obot__class_Obot(tc_fun(_u7452, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3514, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7452), _u7454) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7452), _u7454)) )).
% 12.29/12.53 cnf(matrix-3515, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7455), _u7456) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u7455, _u7456)) )).
% 12.29/12.53 cnf(matrix-3516, 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(_u7457), _u7458))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7457), _u7458)) )).
% 12.29/12.53 cnf(matrix-3517, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7459), _u7460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7459), _u7460)), hAPP(c_Finite__Set_Ocard(_u7459), hAPP(hAPP(c_Set_Oinsert(_u7459), _u7461), _u7460)))) )).
% 12.29/12.53 cnf(matrix-3518, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7462), _u7463)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7462, tc_HOL_Obool)), _u7464), _u7463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7462), _u7464)), hAPP(c_Finite__Set_Ocard(_u7462), _u7463))) )).
% 12.29/12.53 cnf(matrix-3519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7465), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7465, tc_HOL_Obool)), _u7467), _u7466)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7465), _u7466)), hAPP(c_Finite__Set_Ocard(_u7465), _u7467))) | ( _u7467 = _u7466) )).
% 12.29/12.53 cnf(matrix-3520, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7468), _u7469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7470), hAPP(c_Set_Oimage(_u7468, _u7470, _u7471), _u7469))), hAPP(c_Finite__Set_Ocard(_u7468), _u7469))) )).
% 12.29/12.53 cnf(matrix-3521, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7472)), _u7473) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u7472, _u7473)) )).
% 12.29/12.53 cnf(matrix-3522, plain, ( ~class_Rings_Oring__1(_u7474) | hBOOL(hAPP(hAPP(c_member(_u7474), c_Groups_Ozero__class_Ozero(_u7474)), c_Int_Oring__1__class_OInts(_u7474))) )).
% 12.29/12.53 cnf(matrix-3523, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7475), _u7476)) | ( hAPP(c_Finite__Set_Ocard(_u7477), hAPP(c_Set_Oimage(_u7475, _u7477, _u7478), _u7476)) != hAPP(c_Finite__Set_Ocard(_u7475), _u7476)) | c_Fun_Oinj__on(_u7475, _u7477, _u7478, _u7476) )).
% 12.29/12.53 cnf(matrix-3524, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7479), _u7480)) | ~c_Fun_Oinj__on(_u7479, _u7481, _u7482, _u7480) | ( hAPP(c_Finite__Set_Ocard(_u7481), hAPP(c_Set_Oimage(_u7479, _u7481, _u7482), _u7480)) = hAPP(c_Finite__Set_Ocard(_u7479), _u7480)) )).
% 12.29/12.53 cnf(matrix-3525, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7479), _u7480)) | ( hAPP(c_Finite__Set_Ocard(_u7481), hAPP(c_Set_Oimage(_u7479, _u7481, _u7482), _u7480)) != hAPP(c_Finite__Set_Ocard(_u7479), _u7480)) | c_Fun_Oinj__on(_u7479, _u7481, _u7482, _u7480) )).
% 12.29/12.53 cnf(matrix-3526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7483), hAPP(c_Set_Oimage(_u7484, _u7483, _u7485), _u7486))), hAPP(c_Finite__Set_Ocard(_u7484), _u7486))) | ~c_Fun_Oinj__on(_u7484, _u7483, _u7485, _u7486) )).
% 12.29/12.53 cnf(matrix-3527, plain, ( ~class_Rings_Oring__1(_u7487) | ~hBOOL(hAPP(hAPP(c_member(_u7487), _u7488), c_Int_Oring__1__class_OInts(_u7487))) | ~hBOOL(hAPP(hAPP(c_member(_u7487), _u7489), c_Int_Oring__1__class_OInts(_u7487))) | hBOOL(hAPP(hAPP(c_member(_u7487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7487), _u7488), _u7489)), c_Int_Oring__1__class_OInts(_u7487))) )).
% 12.29/12.53 cnf(matrix-3528, plain, ( ~class_Rings_Oring__1(_u7490) | ~hBOOL(hAPP(hAPP(c_member(_u7490), _u7491), c_Int_Oring__1__class_OInts(_u7490))) | ~hBOOL(hAPP(hAPP(c_member(_u7490), _u7492), c_Int_Oring__1__class_OInts(_u7490))) | hBOOL(hAPP(hAPP(c_member(_u7490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7490), _u7491), _u7492)), c_Int_Oring__1__class_OInts(_u7490))) )).
% 12.29/12.53 cnf(matrix-3529, plain, ( ~class_Rings_Oring__1(_u7493) | ~hBOOL(hAPP(hAPP(c_member(_u7493), _u7494), c_Int_Oring__1__class_OInts(_u7493))) | ~hBOOL(hAPP(hAPP(c_member(_u7493), _u7495), c_Int_Oring__1__class_OInts(_u7493))) | hBOOL(hAPP(hAPP(c_member(_u7493), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7493), _u7494), _u7495)), c_Int_Oring__1__class_OInts(_u7493))) )).
% 12.29/12.53 cnf(matrix-3530, plain, ( ~class_Rings_Oring__1(_u7496) | hBOOL(hAPP(hAPP(c_member(_u7496), c_Groups_Oone__class_Oone(_u7496)), c_Int_Oring__1__class_OInts(_u7496))) )).
% 12.29/12.53 cnf(matrix-3531, plain, ( ~class_Rings_Oring__1(_u7497) | ~hBOOL(hAPP(hAPP(c_member(_u7497), _u7498), c_Int_Oring__1__class_OInts(_u7497))) | hBOOL(hAPP(hAPP(c_member(_u7497), hAPP(c_Groups_Ouminus__class_Ouminus(_u7497), _u7498)), c_Int_Oring__1__class_OInts(_u7497))) )).
% 12.29/12.53 cnf(matrix-3532, plain, ( ~class_Rings_Oring__1(_u7499) | hBOOL(hAPP(hAPP(c_member(_u7499), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7499), _u7500)), c_Int_Oring__1__class_OInts(_u7499))) )).
% 12.29/12.53 cnf(matrix-3533, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7501), _u7502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7501, tc_HOL_Obool)), _u7503), _u7502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7501), _u7503)), hAPP(c_Finite__Set_Ocard(_u7501), _u7502))) )).
% 12.29/12.53 cnf(matrix-3534, plain, ( ~class_Rings_Osemiring__1(_u7504) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7504), hAPP(c_Nat_OSuc, _u7505)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7504), c_Groups_Oone__class_Oone(_u7504)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7504), _u7505))) )).
% 12.29/12.53 cnf(matrix-3535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7506)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7506), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u7506) )).
% 12.29/12.53 cnf(matrix-3536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7507), hAPP(c_Nat_OSuc, _u7508))), _u7507)) )).
% 12.29/12.53 cnf(matrix-3537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7509)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7510)) | 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), _u7510), _u7509))) )).
% 12.29/12.53 cnf(matrix-3538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7512)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7511), _u7512))) )).
% 12.29/12.53 cnf(matrix-3539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7513), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7514), _u7513))) )).
% 12.29/12.53 cnf(matrix-3540, 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), _u7517), _u7519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7517)) )).
% 12.29/12.53 cnf(matrix-3541, 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), _u7517), _u7519))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7519)) )).
% 12.29/12.53 cnf(matrix-3542, 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))), _u7518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7520)) | 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), _u7518), _u7520))) )).
% 12.29/12.53 cnf(matrix-3543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7521), _u7522)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7522), _u7521))), _u7523) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7522)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7521), _u7523))) )).
% 12.29/12.53 cnf(matrix-3544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7524), _u7525)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7526), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7525), _u7524))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7526), _u7524)), hAPP(c_Nat_OSuc, _u7525))) )).
% 12.29/12.53 cnf(matrix-3545, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7531), _u7533)) | ( _u7533 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7531), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem183(_u7533, _u7531))))) )).
% 12.29/12.53 cnf(matrix-3547, plain, ( ( _u7534 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7532), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u7528)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7532), _u7534)) )).
% 12.29/12.53 cnf(matrix-3548, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u7535)) = 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), _u7535))) )).
% 12.29/12.53 cnf(matrix-3549, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7540), skolem184(_u7542, _u7541, _u7540)), _u7541)) )).
% 12.29/12.53 cnf(matrix-3550, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7542, skolem184(_u7542, _u7541, _u7540)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3551, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7536), _u7541)) | ( skolem184(_u7542, _u7541, _u7540) = _u7536) | ( hAPP(_u7542, _u7536) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3552, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7539), _u7541)) | ( hAPP(_u7542, _u7539) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u7540), skolem185(_u7542, _u7541, _u7540, _u7539)), _u7541)) )).
% 12.29/12.53 cnf(matrix-3553, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7539), _u7541)) | ( hAPP(_u7542, _u7539) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u7539 != skolem185(_u7542, _u7541, _u7540, _u7539)) )).
% 12.29/12.53 cnf(matrix-3554, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7540), _u7541)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7540, tc_Nat_Onat), _u7542), _u7541) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u7540), _u7539), _u7541)) | ( hAPP(_u7542, _u7539) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u7542, skolem185(_u7542, _u7541, _u7540, _u7539)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3555, plain, ( ~class_Rings_Osemiring__1(_u7543) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7544, _u7543), hAPP(c_COMBK(_u7543, _u7544), _u7545)), _u7546) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7543), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7543), hAPP(c_Finite__Set_Ocard(_u7544), _u7546))), _u7545)) )).
% 12.29/12.53 cnf(matrix-3556, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7547)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u7547)) )).
% 12.29/12.53 cnf(matrix-3557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7548), hAPP(c_Nat_OSuc, _u7549))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7548, hAPP(c_Nat_OSuc, _u7549)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7549)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7548, _u7549))) )).
% 12.29/12.53 cnf(matrix-3558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7550), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7551), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7550))))) | ( _u7550 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7551), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u7550)))) )).
% 12.29/12.53 cnf(matrix-3559, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7552), hAPP(c_Nat_OSuc, _u7552)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7552), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3560, 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(_u7555), _u7557))) | ( _u7557 != c_Orderings_Obot__class_Obot(tc_fun(_u7555, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3561, 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(_u7555), _u7557))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7555), _u7557)) )).
% 12.29/12.53 cnf(matrix-3562, plain, ( ( _u7558 = c_Orderings_Obot__class_Obot(tc_fun(_u7556, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7556), _u7558)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7556), _u7558))) )).
% 12.29/12.53 cnf(matrix-3563, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7559), c_Orderings_Otop__class_Otop(tc_fun(_u7559, 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(_u7559), c_Orderings_Otop__class_Otop(tc_fun(_u7559, tc_HOL_Obool))))) )).
% 12.29/12.53 cnf(matrix-3564, plain, ( ~class_Groups_Ocomm__monoid__add(_u7560) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7560), _u7561), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7562))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7560), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7560), _u7561), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7562))), hAPP(_u7561, _u7562))) )).
% 12.29/12.53 cnf(matrix-3565, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7563), _u7564)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7563), _u7565)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7563), _u7564)), hAPP(c_Finite__Set_Ocard(_u7563), _u7565)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7563), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7563, tc_HOL_Obool)), _u7564), _u7565))), hAPP(c_Finite__Set_Ocard(_u7563), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7563, tc_HOL_Obool)), _u7564), _u7565)))) )).
% 12.29/12.53 cnf(matrix-3566, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7566), _u7567)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7566), _u7568)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7566), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7566, tc_HOL_Obool)), _u7567), _u7568))), hAPP(c_Finite__Set_Ocard(_u7566), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7566, tc_HOL_Obool)), _u7567), _u7568))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7566), _u7567)), hAPP(c_Finite__Set_Ocard(_u7566), _u7568))) )).
% 12.29/12.53 cnf(matrix-3567, plain, ( ~c_Fun_Oinj__on(_u7569, _u7570, _u7571, _u7572) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7570, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7569, _u7570, _u7571), _u7572)), _u7573)) | ~c_Fun_Oinj__on(_u7570, _u7569, _u7574, _u7573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7569, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7570, _u7569, _u7574), _u7573)), _u7572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7569), _u7572)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7570), _u7573)) | ( hAPP(c_Finite__Set_Ocard(_u7569), _u7572) = hAPP(c_Finite__Set_Ocard(_u7570), _u7573)) )).
% 12.29/12.53 cnf(matrix-3568, plain, ( ~class_Groups_Ocomm__monoid__add(_u7575) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7575), _u7576), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7577))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7575), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7575), _u7576), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7577))), hAPP(_u7576, hAPP(c_Nat_OSuc, _u7577)))) )).
% 12.29/12.53 cnf(matrix-3569, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7578), _u7579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7578, tc_HOL_Obool)), _u7579), _u7580)) | ( hAPP(c_Finite__Set_Ocard(_u7578), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7578, tc_HOL_Obool)), _u7580), _u7579)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7578), _u7580)), hAPP(c_Finite__Set_Ocard(_u7578), _u7579))) )).
% 12.29/12.53 cnf(matrix-3570, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7581), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7581, tc_HOL_Obool)), _u7582), _u7583))) | ( hAPP(c_Finite__Set_Ocard(_u7581), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7581, tc_HOL_Obool)), _u7582), _u7583)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7581), _u7582)), hAPP(c_Finite__Set_Ocard(_u7581), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7581, tc_HOL_Obool)), _u7582), _u7583)))) )).
% 12.29/12.53 cnf(matrix-3571, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7584), _u7585)) | 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(_u7584), _u7586)), hAPP(c_Finite__Set_Ocard(_u7584), _u7585))), hAPP(c_Finite__Set_Ocard(_u7584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7584, tc_HOL_Obool)), _u7586), _u7585)))) )).
% 12.29/12.53 cnf(matrix-3572, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7587), _u7588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7587, tc_HOL_Obool)), _u7589), _u7588)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7587), _u7589)), hAPP(c_Finite__Set_Ocard(_u7587), _u7588))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u7587, tc_HOL_Obool)), _u7589), _u7588)) )).
% 12.29/12.53 cnf(matrix-3573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7590)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7590), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u7590) )).
% 12.29/12.53 cnf(matrix-3574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7591)) | ( _u7591 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7591), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.53 cnf(matrix-3575, plain, ( ( _u7594 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7594), _u7596) = _u7596) )).
% 12.29/12.53 cnf(matrix-3576, plain, ( ( _u7595 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7595), _u7597) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7595), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7597))) )).
% 12.29/12.53 cnf(matrix-3577, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7598)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u7598)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7598), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.29/12.53 cnf(matrix-3578, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7599)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u7599)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7599)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 12.29/12.53 cnf(matrix-3579, 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, _u7600))))) )).
% 12.29/12.53 cnf(matrix-3580, 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, _u7601)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3581, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7602), _u7603)) | ( hAPP(c_Finite__Set_Ocard(_u7602), _u7603) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7602, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7602), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7603)) )).
% 12.29/12.53 cnf(matrix-3582, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7606), _u7608)) | ( hAPP(c_Finite__Set_Ocard(_u7606), _u7608) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7606, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7606), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7608)) )).
% 12.29/12.53 cnf(matrix-3583, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7607), _u7609)) | ( hAPP(c_Finite__Set_Ocard(_u7607), _u7609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3584, plain, ( ~class_Int_Oring__char__0(_u7610) | ~hBOOL(hAPP(hAPP(c_member(_u7610), _u7611), c_Int_Oring__1__class_OInts(_u7610))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7610), _u7611), _u7611) != c_Groups_Ozero__class_Ozero(_u7610)) | ( _u7611 = c_Groups_Ozero__class_Ozero(_u7610)) )).
% 12.29/12.53 cnf(matrix-3585, plain, ( ~class_Int_Oring__char__0(_u7610) | ~hBOOL(hAPP(hAPP(c_member(_u7610), _u7611), c_Int_Oring__1__class_OInts(_u7610))) | ( _u7611 != c_Groups_Ozero__class_Ozero(_u7610)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7610), _u7611), _u7611) = c_Groups_Ozero__class_Ozero(_u7610)) )).
% 12.29/12.53 cnf(matrix-3586, plain, ( ~class_Groups_Ocomm__monoid__add(_u7612) | ( hAPP(_u7613, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u7612)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7612), _u7613), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7614)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7612), _u7613), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7614))) )).
% 12.29/12.53 cnf(matrix-3587, plain, ( ~class_Groups_Ocomm__monoid__add(_u7615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7616), _u7617)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7615), _u7618), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7616), _u7617)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7615), hAPP(_u7618, _u7616)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7615), _u7618), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7616)), _u7617)))) )).
% 12.29/12.53 cnf(matrix-3588, plain, ( ~class_Groups_Ocomm__monoid__add(_u7619) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7620), _u7621)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7619), _u7622), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7620, _u7621)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7619), hAPP(_u7622, _u7620)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7619), _u7622), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7620), _u7621)))) )).
% 12.29/12.53 cnf(matrix-3589, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7625), _u7627)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7625), hAPP(c_Nat_OSuc, _u7627)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u7627), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7625), _u7627))) )).
% 12.29/12.53 cnf(matrix-3590, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7626), _u7628)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7626), hAPP(c_Nat_OSuc, _u7628)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3591, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7629), _u7630)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7629), _u7631)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7629, tc_HOL_Obool)), _u7630), _u7631) != c_Orderings_Obot__class_Obot(tc_fun(_u7629, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u7629), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7629, tc_HOL_Obool)), _u7630), _u7631)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7629), _u7630)), hAPP(c_Finite__Set_Ocard(_u7629), _u7631))) )).
% 12.29/12.53 cnf(matrix-3592, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7632), _u7633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7632), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7632, tc_HOL_Obool)), _u7633), hAPP(hAPP(c_Set_Oinsert(_u7632), _u7634), c_Orderings_Obot__class_Obot(tc_fun(_u7632, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u7632), _u7633))) )).
% 12.29/12.53 cnf(matrix-3593, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7635), _u7636)) | hBOOL(hAPP(hAPP(c_member(_u7635), _u7637), _u7636)) | ( hAPP(c_Finite__Set_Ocard(_u7635), hAPP(hAPP(c_Set_Oinsert(_u7635), _u7637), _u7636)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7635), _u7636))) )).
% 12.29/12.53 cnf(matrix-3594, plain, ( ~c_Fun_Oinj__on(_u7638, _u7639, _u7640, _u7641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7639, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7638, _u7639, _u7640), _u7641)), _u7642)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7639), _u7642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7638), _u7641)), hAPP(c_Finite__Set_Ocard(_u7639), _u7642))) )).
% 12.29/12.53 cnf(matrix-3595, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7647), _u7648)) | ~c_Fun_Oinj__on(_u7645, _u7647, _u7643, _u7646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7647, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7645, _u7647, _u7643), _u7646)), _u7648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7645), _u7646)), hAPP(c_Finite__Set_Ocard(_u7647), _u7648))) )).
% 12.29/12.53 cnf(matrix-3596, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7647), _u7648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7645), _u7646)), hAPP(c_Finite__Set_Ocard(_u7647), _u7648))) | c_Fun_Oinj__on(_u7645, _u7647, skolem186(_u7648, _u7647, _u7646, _u7645), _u7646) )).
% 12.29/12.53 cnf(matrix-3597, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7647), _u7648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7645), _u7646)), hAPP(c_Finite__Set_Ocard(_u7647), _u7648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7647, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7645, _u7647, skolem186(_u7648, _u7647, _u7646, _u7645)), _u7646)), _u7648)) )).
% 12.29/12.53 cnf(matrix-3598, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u7649, _u7650))) )).
% 12.29/12.53 cnf(matrix-3599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7651), _u7652)) | ( c_Nat__Transfer_Otsub(_u7652, _u7651) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7652), _u7651)) )).
% 12.29/12.53 cnf(matrix-3600, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7653), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7654)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7653), _u7654))) )).
% 12.29/12.53 cnf(matrix-3601, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7655)) = 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), _u7655)))) )).
% 12.29/12.53 cnf(matrix-3602, plain, ( ~class_Groups_Ocomm__monoid__add(_u7656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7657), _u7658)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7656), _u7659), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7658), hAPP(c_Nat_OSuc, _u7657))) = c_Groups_Ozero__class_Ozero(_u7656)) )).
% 12.29/12.53 cnf(matrix-3603, plain, ( ~class_Groups_Ocomm__monoid__add(_u7656) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7657), _u7658)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7656), _u7659), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7658), hAPP(c_Nat_OSuc, _u7657))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7656), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7656), _u7659), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u7658), _u7657))), hAPP(_u7659, _u7657))) )).
% 12.29/12.53 cnf(matrix-3604, plain, ( ~class_Groups_Ocomm__monoid__add(_u7660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7661)), _u7662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7660), _u7663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7662, hAPP(c_Nat_OSuc, _u7661))) = c_Groups_Ozero__class_Ozero(_u7660)) )).
% 12.29/12.53 cnf(matrix-3605, plain, ( ~class_Groups_Ocomm__monoid__add(_u7660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7661)), _u7662)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7660), _u7663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7662, hAPP(c_Nat_OSuc, _u7661))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7660), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7660), _u7663), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7662, _u7661))), hAPP(_u7663, hAPP(c_Nat_OSuc, _u7661)))) )).
% 12.29/12.53 cnf(matrix-3606, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3607, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7664), _u7665)) | ~hBOOL(hAPP(hAPP(c_member(_u7664), _u7666), _u7665)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7664, tc_HOL_Obool)), _u7665), hAPP(hAPP(c_Set_Oinsert(_u7664), _u7666), c_Orderings_Obot__class_Obot(tc_fun(_u7664, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u7664), _u7665))) )).
% 12.29/12.53 cnf(matrix-3608, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7667), _u7668)) | ~hBOOL(hAPP(hAPP(c_member(_u7667), _u7669), _u7668)) | ~hBOOL(hAPP(hAPP(c_member(_u7667), _u7670), _u7668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7667), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7667, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7667, tc_HOL_Obool)), _u7668), hAPP(hAPP(c_Set_Oinsert(_u7667), _u7669), c_Orderings_Obot__class_Obot(tc_fun(_u7667, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u7667), _u7670), c_Orderings_Obot__class_Obot(tc_fun(_u7667, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u7667), _u7668))) )).
% 12.29/12.53 cnf(matrix-3609, plain, ( ~class_Int_Oring__char__0(_u7671) | ~hBOOL(hAPP(hAPP(c_member(_u7671), _u7672), c_Int_Oring__1__class_OInts(_u7671))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7671), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7671), c_Groups_Oone__class_Oone(_u7671)), _u7672)), _u7672) != c_Groups_Ozero__class_Ozero(_u7671)) )).
% 12.29/12.53 cnf(matrix-3610, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7673), _u7674)) | ~hBOOL(hAPP(hAPP(c_member(_u7673), _u7675), _u7674)) | hBOOL(hAPP(hAPP(c_member(_u7673), _u7675), _u7676)) | ( hAPP(c_Finite__Set_Ocard(_u7673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7673, tc_HOL_Obool)), _u7674), hAPP(hAPP(c_Set_Oinsert(_u7673), _u7675), _u7676))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7673), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7673, tc_HOL_Obool)), _u7674), _u7676))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3611, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7677), _u7678)) | ( hAPP(c_Finite__Set_Ocard(_u7677), hAPP(hAPP(c_Set_Oinsert(_u7677), _u7679), _u7678)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7677), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7677, tc_HOL_Obool)), _u7678), hAPP(hAPP(c_Set_Oinsert(_u7677), _u7679), c_Orderings_Obot__class_Obot(tc_fun(_u7677, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-3612, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7680), _u7681)) | ~hBOOL(hAPP(hAPP(c_member(_u7680), _u7682), _u7681)) | ( hAPP(c_Finite__Set_Ocard(_u7680), _u7681) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7680), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7680, tc_HOL_Obool)), _u7681), hAPP(hAPP(c_Set_Oinsert(_u7680), _u7682), c_Orderings_Obot__class_Obot(tc_fun(_u7680, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-3613, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7683), _u7684)) | ~hBOOL(hAPP(hAPP(c_member(_u7683), _u7685), _u7684)) | ( hAPP(c_Finite__Set_Ocard(_u7683), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7683, tc_HOL_Obool)), _u7684), hAPP(hAPP(c_Set_Oinsert(_u7683), _u7685), c_Orderings_Obot__class_Obot(tc_fun(_u7683, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7683), _u7684)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3614, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7683), _u7684)) | hBOOL(hAPP(hAPP(c_member(_u7683), _u7685), _u7684)) | ( hAPP(c_Finite__Set_Ocard(_u7683), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7683, tc_HOL_Obool)), _u7684), hAPP(hAPP(c_Set_Oinsert(_u7683), _u7685), c_Orderings_Obot__class_Obot(tc_fun(_u7683, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u7683), _u7684)) )).
% 12.29/12.53 cnf(matrix-3615, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7688)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7689)) | ( hAPP(c_Finite__Set_Ocard(_u7687), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7687, tc_HOL_Obool)), _u7688), _u7689)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7687), _u7688)), hAPP(c_Finite__Set_Ocard(_u7687), _u7689))) | hBOOL(hAPP(hAPP(c_member(_u7687), skolem187(_u7689, _u7688, _u7687)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7687, tc_HOL_Obool)), _u7688), _u7689))) )).
% 12.29/12.53 cnf(matrix-3616, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7688)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7687), _u7689)) | ( hAPP(c_Finite__Set_Ocard(_u7687), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7687, tc_HOL_Obool)), _u7688), _u7689)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7687), _u7688)), hAPP(c_Finite__Set_Ocard(_u7687), _u7689))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3617, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u7691) | ~class_Rings_Osemiring__1(_u7691) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7692, _u7691), _u7694), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7691), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7691), hAPP(c_Finite__Set_Ocard(_u7692), _u7693))), _u7695))) | hBOOL(hAPP(hAPP(c_member(_u7692), skolem188(_u7695, _u7694, _u7693, _u7692, _u7691)), _u7693)) )).
% 12.29/12.53 cnf(matrix-3618, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u7691) | ~class_Rings_Osemiring__1(_u7691) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7691), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7692, _u7691), _u7694), _u7693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7691), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7691), hAPP(c_Finite__Set_Ocard(_u7692), _u7693))), _u7695))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7691), hAPP(_u7694, skolem188(_u7695, _u7694, _u7693, _u7692, _u7691))), _u7695)) )).
% 12.29/12.53 cnf(matrix-3619, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ( _u7705 = hAPP(hAPP(c_Set_Oinsert(_u7703), skolem189(_u7707, _u7705, _u7703)), skolem190(_u7707, _u7705, _u7703))) )).
% 12.29/12.53 cnf(matrix-3620, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ~hBOOL(hAPP(hAPP(c_member(_u7703), skolem189(_u7707, _u7705, _u7703)), skolem190(_u7707, _u7705, _u7703))) )).
% 12.29/12.53 cnf(matrix-3621, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ( hAPP(c_Finite__Set_Ocard(_u7703), skolem190(_u7707, _u7705, _u7703)) = _u7707) )).
% 12.29/12.53 cnf(matrix-3622, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7703), _u7705) != hAPP(c_Nat_OSuc, _u7707)) | ( _u7707 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem190(_u7707, _u7705, _u7703) = c_Orderings_Obot__class_Obot(tc_fun(_u7703, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3623, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7704), _u7706) = hAPP(c_Nat_OSuc, _u7708)) | ( _u7706 != hAPP(hAPP(c_Set_Oinsert(_u7704), _u7699), _u7698)) | hBOOL(hAPP(hAPP(c_member(_u7704), _u7699), _u7698)) | ( hAPP(c_Finite__Set_Ocard(_u7704), _u7698) != _u7708) | ( _u7708 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3624, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7704), _u7706) = hAPP(c_Nat_OSuc, _u7708)) | ( _u7706 != hAPP(hAPP(c_Set_Oinsert(_u7704), _u7699), _u7698)) | hBOOL(hAPP(hAPP(c_member(_u7704), _u7699), _u7698)) | ( hAPP(c_Finite__Set_Ocard(_u7704), _u7698) != _u7708) | ( _u7698 != c_Orderings_Obot__class_Obot(tc_fun(_u7704, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3625, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7713), _u7715)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7717), _u7719)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7713, _u7717)), c_Sum__Type_OPlus(_u7713, _u7717, _u7715, _u7719)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7713), _u7715)), hAPP(c_Finite__Set_Ocard(_u7717), _u7719))) )).
% 12.29/12.53 cnf(matrix-3626, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7714, _u7718)), c_Sum__Type_OPlus(_u7714, _u7718, _u7716, _u7720)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7714), _u7716)) )).
% 12.29/12.53 cnf(matrix-3627, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7714, _u7718)), c_Sum__Type_OPlus(_u7714, _u7718, _u7716, _u7720)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7718), _u7720)) )).
% 12.29/12.53 cnf(matrix-3628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7721)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7721) = 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, _u7721)))) )).
% 12.29/12.53 cnf(matrix-3629, plain, ( ~class_Groups_Oordered__ab__group__add(_u7723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7724), _u7725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7724, _u7723), _u7726), _u7725) != c_Groups_Ozero__class_Ozero(_u7723)) | ~hBOOL(hAPP(hAPP(c_member(_u7724), _u7727), _u7725)) | ( hAPP(_u7726, _u7727) = c_Groups_Ozero__class_Ozero(_u7723)) | hBOOL(hAPP(hAPP(c_member(_u7724), skolem191(_u7727, _u7726, _u7725, _u7724, _u7723)), _u7725)) )).
% 12.29/12.53 cnf(matrix-3630, plain, ( ~class_Groups_Oordered__ab__group__add(_u7723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7724), _u7725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7724, _u7723), _u7726), _u7725) != c_Groups_Ozero__class_Ozero(_u7723)) | ~hBOOL(hAPP(hAPP(c_member(_u7724), _u7727), _u7725)) | ( hAPP(_u7726, _u7727) = c_Groups_Ozero__class_Ozero(_u7723)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7723), c_Groups_Ozero__class_Ozero(_u7723)), hAPP(_u7726, skolem191(_u7727, _u7726, _u7725, _u7724, _u7723)))) )).
% 12.29/12.53 cnf(matrix-3631, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7728)) = _u7728) )).
% 12.29/12.53 cnf(matrix-3632, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3633, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7730)) | ( hAPP(c_Int_Onat, _u7729) != hAPP(c_Int_Onat, _u7730)) | ( _u7729 = _u7730) )).
% 12.29/12.53 cnf(matrix-3635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7730)) | ( _u7729 != _u7730) | ( hAPP(c_Int_Onat, _u7729) = hAPP(c_Int_Onat, _u7730)) )).
% 12.29/12.53 cnf(matrix-3636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7732)) | ( hAPP(c_Int_Onat, _u7731) != hAPP(c_Int_Onat, _u7732)) | ( _u7731 = _u7732) )).
% 12.29/12.53 cnf(matrix-3637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7732)) | ( _u7731 != _u7732) | ( hAPP(c_Int_Onat, _u7731) = hAPP(c_Int_Onat, _u7732)) )).
% 12.29/12.53 cnf(matrix-3638, plain, ( ~hBOOL(hAPP(_u7738, skolem192(_u7738))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7734)) | hBOOL(hAPP(_u7738, hAPP(c_Int_Onat, _u7734))) )).
% 12.29/12.53 cnf(matrix-3639, plain, ( hBOOL(hAPP(_u7739, _u7736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem193(_u7739))) )).
% 12.29/12.53 cnf(matrix-3640, plain, ( hBOOL(hAPP(_u7739, _u7736)) | ~hBOOL(hAPP(_u7739, hAPP(c_Int_Onat, skolem193(_u7739)))) )).
% 12.29/12.53 cnf(matrix-3641, plain, ( ~hBOOL(hAPP(_u7745, _u7740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem194(_u7745))) )).
% 12.29/12.53 cnf(matrix-3642, plain, ( ~hBOOL(hAPP(_u7745, _u7740)) | hBOOL(hAPP(_u7745, hAPP(c_Int_Onat, skolem194(_u7745)))) )).
% 12.29/12.53 cnf(matrix-3643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7742)) | ~hBOOL(hAPP(_u7746, hAPP(c_Int_Onat, _u7742))) | hBOOL(hAPP(_u7746, skolem195(_u7746))) )).
% 12.29/12.53 cnf(matrix-3644, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3645, 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)), _u7747)) = _u7747) )).
% 12.29/12.53 cnf(matrix-3646, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7748), _u7749) = 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)), _u7748)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7749)))) )).
% 12.29/12.53 cnf(matrix-3647, 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)), _u7750)) = hAPP(c_Int_Onat, _u7750)) )).
% 12.29/12.53 cnf(matrix-3648, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u7751), _u7752)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7752), _u7751))) )).
% 12.29/12.53 cnf(matrix-3649, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u7753, _u7754)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7754), _u7753))) )).
% 12.29/12.53 cnf(matrix-3650, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3651, plain, ( ( hAPP(c_Int_Onat, _u7756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7756), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7757), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7758), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u7758) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7761)), hAPP(c_Int_Onat, _u7763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7763)) )).
% 12.29/12.53 cnf(matrix-3655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7761)), hAPP(c_Int_Onat, _u7763))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7761), _u7763)) )).
% 12.29/12.53 cnf(matrix-3656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7762), _u7764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7762)), hAPP(c_Int_Onat, _u7764))) )).
% 12.29/12.53 cnf(matrix-3657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7766)), hAPP(c_Int_Onat, _u7765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7765)) )).
% 12.29/12.53 cnf(matrix-3658, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7766), _u7765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7766)), hAPP(c_Int_Onat, _u7765))) )).
% 12.29/12.53 cnf(matrix-3659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7767)), hAPP(c_Int_Onat, _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7767), _u7768)) )).
% 12.29/12.53 cnf(matrix-3660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7767), _u7768)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7767)), hAPP(c_Int_Onat, _u7768))) )).
% 12.29/12.53 cnf(matrix-3661, plain, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7769)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7769)) = _u7769) )).
% 12.29/12.53 cnf(matrix-3663, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7772) != _u7774) | ( _u7772 = hAPP(c_Int_Onat, _u7774)) )).
% 12.29/12.53 cnf(matrix-3664, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7772) != _u7774) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7774)) )).
% 12.29/12.53 cnf(matrix-3665, plain, ( ( _u7773 != hAPP(c_Int_Onat, _u7775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7775)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7773) = _u7775) )).
% 12.29/12.53 cnf(matrix-3666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7777)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7777)) = _u7777) )).
% 12.29/12.53 cnf(matrix-3667, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7778)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7778)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7781), hAPP(c_Int_Onat, _u7783))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7781)), _u7783)) )).
% 12.29/12.53 cnf(matrix-3669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7782)), _u7784)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7782), hAPP(c_Int_Onat, _u7784))) )).
% 12.29/12.53 cnf(matrix-3670, 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), _u7785))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3671, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u7786, _u7787) = 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), _u7786), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7787)))) )).
% 12.29/12.53 cnf(matrix-3672, plain, ( ~class_Groups_Ocomm__monoid__add(_u7788) | ~class_Groups_Ocomm__monoid__mult(_u7788) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7788), _u7789), _u7790) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7788), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7788, tc_Int_Oint), _u7789), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7790))) )).
% 12.29/12.53 cnf(matrix-3673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u7792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7792)) )).
% 12.29/12.53 cnf(matrix-3674, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7793)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u7793))) )).
% 12.29/12.53 cnf(matrix-3675, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7794)), hAPP(c_Int_Onat, _u7795))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7794), _u7795)) )).
% 12.29/12.53 cnf(matrix-3676, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7794), _u7795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7794)), hAPP(c_Int_Onat, _u7795))) )).
% 12.29/12.53 cnf(matrix-3677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7796)), hAPP(c_Int_Onat, _u7797))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7796), _u7797)) )).
% 12.29/12.53 cnf(matrix-3678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7796), _u7797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7796)), hAPP(c_Int_Onat, _u7797))) )).
% 12.29/12.53 cnf(matrix-3679, plain, ( ( _u7800 != hAPP(c_Int_Onat, _u7802)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7802)) | ( _u7802 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7800)) )).
% 12.29/12.53 cnf(matrix-3680, plain, ( ( _u7800 != hAPP(c_Int_Onat, _u7802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7802)) | ( _u7800 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3681, plain, ( ( _u7801 = hAPP(c_Int_Onat, _u7803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803)) | ( _u7801 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3682, plain, ( ( _u7801 = hAPP(c_Int_Onat, _u7803)) | ( _u7803 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7803)) )).
% 12.29/12.53 cnf(matrix-3683, plain, ( ( _u7801 = hAPP(c_Int_Onat, _u7803)) | ( _u7803 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7801)) | ( _u7801 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3684, plain, ( ( hAPP(c_Int_Onat, _u7806) != _u7808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ( _u7806 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7808)) )).
% 12.29/12.53 cnf(matrix-3685, plain, ( ( hAPP(c_Int_Onat, _u7806) != _u7808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7806)) | ( _u7808 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3686, plain, ( ( hAPP(c_Int_Onat, _u7807) = _u7809) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7807)) | ( _u7809 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3687, plain, ( ( hAPP(c_Int_Onat, _u7807) = _u7809) | ( _u7807 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7807)) )).
% 12.29/12.53 cnf(matrix-3688, plain, ( ( hAPP(c_Int_Onat, _u7807) = _u7809) | ( _u7807 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7809)) | ( _u7809 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) )).
% 12.29/12.53 cnf(matrix-3690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7810)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) )).
% 12.29/12.53 cnf(matrix-3691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) )).
% 12.29/12.53 cnf(matrix-3692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7811)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7810), _u7811)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u7810)), hAPP(c_Int_Onat, _u7811))) )).
% 12.29/12.53 cnf(matrix-3693, plain, ( ~hBOOL(hAPP(_u7816, hAPP(c_Int_Onat, _u7818))) | ( _u7818 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7812)) | hBOOL(hAPP(_u7816, _u7812)) )).
% 12.29/12.53 cnf(matrix-3694, plain, ( ~hBOOL(hAPP(_u7816, hAPP(c_Int_Onat, _u7818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7818), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u7816, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3695, plain, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ( _u7819 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem196(_u7819, _u7817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3696, plain, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ( _u7819 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem196(_u7819, _u7817))) | ~hBOOL(hAPP(_u7817, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3697, plain, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ~hBOOL(hAPP(_u7817, skolem196(_u7819, _u7817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3698, plain, ( hBOOL(hAPP(_u7817, hAPP(c_Int_Onat, _u7819))) | ~hBOOL(hAPP(_u7817, skolem196(_u7819, _u7817))) | ~hBOOL(hAPP(_u7817, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-3699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7821)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7820), _u7821)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7820)), hAPP(c_Int_Onat, _u7821))) )).
% 12.29/12.53 cnf(matrix-3700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7823)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7822)), hAPP(c_Int_Onat, _u7823)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7822), _u7823))) )).
% 12.29/12.53 cnf(matrix-3701, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7824)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7824), _u7825)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7824)), hAPP(c_Int_Onat, _u7825))) )).
% 12.29/12.53 cnf(matrix-3702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7827)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u7826)), hAPP(c_Int_Onat, _u7827)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7826), _u7827))) )).
% 12.29/12.53 cnf(matrix-3703, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u7828), _u7829) = 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)), _u7828)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7829)))) )).
% 12.29/12.53 cnf(matrix-3704, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7830), _u7831)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7831), _u7830)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7831)), hAPP(c_Int_Onat, _u7830))) )).
% 12.29/12.53 cnf(matrix-3705, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7832, tc_Nat_Onat), _u7833), _u7834) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7832, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7832), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7833)), _u7834))) )).
% 12.29/12.53 cnf(matrix-3706, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7835, _u7836)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7836), _u7835)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.53 cnf(matrix-3707, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u7837) = 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), _u7837)))) )).
% 12.29/12.53 cnf(matrix-3708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7838)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7839)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7838)), hAPP(c_Int_Onat, _u7839)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u7838, _u7839))) )).
% 12.29/12.53 cnf(matrix-3709, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7841), _u7843)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7840, _u7841)), c_Sum__Type_OPlus(_u7840, _u7841, _u7842, _u7843))) )).
% 12.29/12.53 cnf(matrix-3710, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7844, _u7845)), c_Sum__Type_OPlus(_u7844, _u7845, _u7846, _u7847))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7844), _u7846)) )).
% 12.29/12.53 cnf(matrix-3711, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7848), _u7849)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7850), _u7851)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7848, _u7850)), c_Sum__Type_OPlus(_u7848, _u7850, _u7849, _u7851))) )).
% 12.29/12.53 cnf(matrix-3712, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7856, _u7858)), c_Sum__Type_OPlus(_u7856, _u7858, _u7860, _u7862))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7856), _u7860)) )).
% 12.29/12.53 cnf(matrix-3713, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7856, _u7858)), c_Sum__Type_OPlus(_u7856, _u7858, _u7860, _u7862))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7858), _u7862)) )).
% 12.29/12.53 cnf(matrix-3714, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7857), _u7861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7859), _u7863)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7857, _u7859)), c_Sum__Type_OPlus(_u7857, _u7859, _u7861, _u7863))) )).
% 12.29/12.53 cnf(matrix-3715, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u7864, _u7865)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7865), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7864), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.53 cnf(matrix-3716, 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, _u7867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7867)) )).
% 12.29/12.53 cnf(matrix-3717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7868)) | 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, _u7868))) )).
% 12.29/12.53 cnf(matrix-3718, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7869)), _u7870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7870))) )).
% 12.29/12.53 cnf(matrix-3719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7870))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u7869)), _u7870)) )).
% 12.29/12.53 cnf(matrix-3720, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7871)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u7871)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u7871))) )).
% 12.29/12.53 cnf(matrix-3721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7872), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7872), _u7873)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7872))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7873)))) )).
% 12.29/12.53 cnf(matrix-3722, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7874), _u7875)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7876), _u7877)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u7874, _u7876)), c_Sum__Type_OPlus(_u7874, _u7876, _u7875, _u7877)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7874), _u7875)), hAPP(c_Finite__Set_Ocard(_u7876), _u7877))) )).
% 12.29/12.53 cnf(matrix-3723, plain, ( ( c_Sum__Type_OPlus(_u7878, _u7879, c_Orderings_Otop__class_Otop(tc_fun(_u7878, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7879, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7878, _u7879), tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3724, plain, ( ( c_Int_Onat__aux(_u7880, _u7881) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7880)), _u7881)) )).
% 12.29/12.53 cnf(matrix-3725, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3726, plain, ( ( c_Sum__Type_OPlus(_u7886, _u7888, _u7890, _u7892) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7886, _u7888), tc_HOL_Obool))) | ( _u7890 = c_Orderings_Obot__class_Obot(tc_fun(_u7886, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3727, plain, ( ( c_Sum__Type_OPlus(_u7886, _u7888, _u7890, _u7892) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7886, _u7888), tc_HOL_Obool))) | ( _u7892 = c_Orderings_Obot__class_Obot(tc_fun(_u7888, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3728, plain, ( ( _u7891 != c_Orderings_Obot__class_Obot(tc_fun(_u7887, tc_HOL_Obool))) | ( _u7893 != c_Orderings_Obot__class_Obot(tc_fun(_u7889, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u7887, _u7889, _u7891, _u7893) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u7887, _u7889), tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3729, plain, ( ~c_Nat__Transfer_Ois__nat(_u7894) | ~c_Nat__Transfer_Ois__nat(_u7895) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7894, _u7895) = 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, _u7894), hAPP(c_Int_Onat, _u7895)))) )).
% 12.29/12.53 cnf(matrix-3730, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3731, plain, ( ~c_Nat__Transfer_Ois__nat(_u7896) | ~c_Nat__Transfer_Ois__nat(_u7897) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7896), _u7897)) )).
% 12.29/12.53 cnf(matrix-3732, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7898)) )).
% 12.29/12.53 cnf(matrix-3733, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3734, plain, ( ~c_Nat__Transfer_Ois__nat(_u7899) | ~c_Nat__Transfer_Ois__nat(_u7900) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7899), _u7900)) )).
% 12.29/12.53 cnf(matrix-3735, plain, ( ~c_Nat__Transfer_Ois__nat(_u7901) | ~c_Nat__Transfer_Ois__nat(_u7902) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7901, _u7902)) )).
% 12.29/12.53 cnf(matrix-3736, plain, ( ~c_Nat__Transfer_Ois__nat(_u7904) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7904)) )).
% 12.29/12.53 cnf(matrix-3737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7905)) | c_Nat__Transfer_Ois__nat(_u7905) )).
% 12.29/12.53 cnf(matrix-3738, plain, ( ~c_Nat__Transfer_Onat__set(_u7906) | ~c_Nat__Transfer_Onat__set(_u7907) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7906), _u7907) = 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), _u7906)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7907)))) )).
% 12.29/12.53 cnf(matrix-3739, plain, ( ~c_Nat__Transfer_Onat__set(_u7908) | ~c_Nat__Transfer_Onat__set(_u7909) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7908), _u7909) = 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), _u7908)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7909)))) )).
% 12.29/12.53 cnf(matrix-3740, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Int_Oint), _u7913), _u7912) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u7911), c_Int_Onat), _u7913)), _u7912))) | hBOOL(hAPP(hAPP(c_member(_u7911), skolem197(_u7913, _u7912, _u7911)), _u7912)) )).
% 12.29/12.53 cnf(matrix-3741, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Int_Oint), _u7913), _u7912) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7911, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u7911), c_Int_Onat), _u7913)), _u7912))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u7913, skolem197(_u7913, _u7912, _u7911))) )).
% 12.29/12.53 cnf(matrix-3742, plain, ( ~class_Groups_Ocomm__monoid__add(_u7914) | ~class_Groups_Ocomm__monoid__mult(_u7914) | ~c_Nat__Transfer_Onat__set(_u7915) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u7914), _u7916), _u7915) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u7914), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7914, tc_Nat_Onat), _u7916), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7915))) )).
% 12.29/12.53 cnf(matrix-3743, plain, ( ~c_Nat__Transfer_Onat__set(_u7917) | ~c_Nat__Transfer_Onat__set(_u7918) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7917), _u7918)) | 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), _u7917)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7918))) )).
% 12.29/12.53 cnf(matrix-3744, plain, ( ~c_Nat__Transfer_Onat__set(_u7917) | ~c_Nat__Transfer_Onat__set(_u7918) | ~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), _u7917)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7917), _u7918)) )).
% 12.29/12.53 cnf(matrix-3745, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3746, plain, ( ~c_Nat__Transfer_Onat__set(_u7919) | ~c_Nat__Transfer_Onat__set(_u7920) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7919), _u7920)) )).
% 12.29/12.53 cnf(matrix-3747, plain, ( ~c_Nat__Transfer_Onat__set(_u7921) | ~c_Nat__Transfer_Onat__set(_u7922) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7921), _u7922)) )).
% 12.29/12.53 cnf(matrix-3748, plain, ( ~c_Nat__Transfer_Onat__set(_u7926) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7923), _u7926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7923)) )).
% 12.29/12.53 cnf(matrix-3749, plain, ( c_Nat__Transfer_Onat__set(_u7927) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem198(_u7927)), _u7927)) )).
% 12.29/12.53 cnf(matrix-3750, plain, ( c_Nat__Transfer_Onat__set(_u7927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem198(_u7927))) )).
% 12.29/12.53 cnf(matrix-3751, 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)), _u7928)) )).
% 12.29/12.53 cnf(matrix-3752, plain, ( ~c_Nat__Transfer_Onat__set(_u7929) | ~c_Nat__Transfer_Onat__set(_u7930) | ( _u7929 != _u7930) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7929) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7930)) )).
% 12.29/12.53 cnf(matrix-3753, plain, ( ~c_Nat__Transfer_Onat__set(_u7929) | ~c_Nat__Transfer_Onat__set(_u7930) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7929) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7930)) | ( _u7929 = _u7930) )).
% 12.29/12.53 cnf(matrix-3754, plain, ( ~c_Nat__Transfer_Ois__nat(_u7931) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7931, _u7932)) )).
% 12.29/12.53 cnf(matrix-3755, plain, ( ~c_Nat__Transfer_Onat__set(_u7933) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7934), _u7933)) | c_Nat__Transfer_Ois__nat(_u7934) )).
% 12.29/12.53 cnf(matrix-3756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7935)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u7935, _u7936)) )).
% 12.29/12.53 cnf(matrix-3757, plain, ( ~c_Nat__Transfer_Onat__set(_u7937) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7938), _u7937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7938)) )).
% 12.29/12.53 cnf(matrix-3758, plain, ( ~c_Nat__Transfer_Onat__set(_u7939) | ( 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), _u7939)) = _u7939) )).
% 12.29/12.53 cnf(matrix-3759, plain, ( ~c_Nat__Transfer_Onat__set(_u7940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7940)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7940))) )).
% 12.29/12.53 cnf(matrix-3760, plain, ( ~c_Nat__Transfer_Onat__set(_u7940) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7940))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u7940)) )).
% 12.29/12.53 cnf(matrix-3761, plain, ( ~c_Nat__Transfer_Onat__set(_u7941) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u7941) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7941))) )).
% 12.29/12.53 cnf(matrix-3762, plain, ( ~c_Nat__Transfer_Ois__nat(_u7942) | ~c_Nat__Transfer_Onat__set(_u7943) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7942), _u7943)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7942)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7943))) )).
% 12.29/12.53 cnf(matrix-3763, plain, ( ~c_Nat__Transfer_Ois__nat(_u7942) | ~c_Nat__Transfer_Onat__set(_u7943) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u7942)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7943))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u7942), _u7943)) )).
% 12.29/12.53 cnf(matrix-3764, plain, ( ~c_Nat__Transfer_Onat__set(_u7944) | ~c_Nat__Transfer_Onat__set(_u7945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7944), _u7945)) | 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), _u7944)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7945))) )).
% 12.29/12.53 cnf(matrix-3765, plain, ( ~c_Nat__Transfer_Onat__set(_u7944) | ~c_Nat__Transfer_Onat__set(_u7945) | ~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), _u7944)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u7945))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u7944), _u7945)) )).
% 12.29/12.53 cnf(matrix-3766, plain, ( ~class_Rings_Oring__1(_u7946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7947), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7946), _u7947) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7946), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7946), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7947))))) )).
% 12.29/12.53 cnf(matrix-3767, plain, ( ~class_Rings_Oring__1(_u7946) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7947), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7946), _u7947) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7946), hAPP(c_Int_Onat, _u7947))) )).
% 12.29/12.53 cnf(matrix-3768, plain, ( ~class_Groups_Oordered__ab__group__add(_u7949) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7950), _u7951)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7950, _u7949), _u7952), _u7951) != _u7953) | ~hBOOL(hAPP(hAPP(c_member(_u7950), _u7954), _u7951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7949), hAPP(_u7952, _u7954)), _u7953)) | hBOOL(hAPP(hAPP(c_member(_u7950), skolem199(_u7954, _u7953, _u7952, _u7951, _u7950, _u7949)), _u7951)) )).
% 12.29/12.53 cnf(matrix-3769, plain, ( ~class_Groups_Oordered__ab__group__add(_u7949) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7950), _u7951)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7950, _u7949), _u7952), _u7951) != _u7953) | ~hBOOL(hAPP(hAPP(c_member(_u7950), _u7954), _u7951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7949), hAPP(_u7952, _u7954)), _u7953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7949), c_Groups_Ozero__class_Ozero(_u7949)), hAPP(_u7952, skolem199(_u7954, _u7953, _u7952, _u7951, _u7950, _u7949)))) )).
% 12.29/12.53 cnf(matrix-3770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u7956, skolem200(_u7958, _u7957, _u7956))), hAPP(_u7957, skolem200(_u7958, _u7957, _u7956)))) | ( 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), _u7957), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u7956), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))) = 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)), _u7957)), _u7956)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u7958))) )).
% 12.29/12.53 cnf(matrix-3771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7963)) | ~hBOOL(hAPP(_u7962, _u7960)) | hBOOL(hAPP(_u7962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7963), _u7961)))) | hBOOL(hAPP(_u7962, skolem201(_u7963, _u7962, _u7961))) )).
% 12.29/12.53 cnf(matrix-3772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7963)) | ~hBOOL(hAPP(_u7962, _u7960)) | hBOOL(hAPP(_u7962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7963), _u7961)))) | ~hBOOL(hAPP(_u7962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem201(_u7963, _u7962, _u7961)), _u7961))) )).
% 12.29/12.53 cnf(matrix-3773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7965), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7965 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem202(_u7965))))) )).
% 12.29/12.53 cnf(matrix-3774, plain, ( ~class_Int_Oring__char__0(_u7966) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7967) != hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7968)) | ( _u7967 = _u7968) )).
% 12.29/12.53 cnf(matrix-3775, plain, ( ~class_Int_Oring__char__0(_u7966) | ( _u7967 != _u7968) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7967) = hAPP(c_Int_Oring__1__class_Oof__int(_u7966), _u7968)) )).
% 12.29/12.53 cnf(matrix-3776, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7969)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7969)) )).
% 12.29/12.53 cnf(matrix-3777, plain, ( ~class_Rings_Oring__1(_u7970) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7970), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u7970)) )).
% 12.29/12.53 cnf(matrix-3778, plain, ( ~class_Int_Oring__char__0(_u7971) | ( c_Groups_Ozero__class_Ozero(_u7971) != hAPP(c_Int_Oring__1__class_Oof__int(_u7971), _u7972)) | ( _u7972 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3779, plain, ( ~class_Int_Oring__char__0(_u7971) | ( _u7972 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u7971) = hAPP(c_Int_Oring__1__class_Oof__int(_u7971), _u7972)) )).
% 12.29/12.53 cnf(matrix-3780, plain, ( ~class_Int_Oring__char__0(_u7973) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7973), _u7974) != c_Groups_Ozero__class_Ozero(_u7973)) | ( _u7974 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3781, plain, ( ~class_Int_Oring__char__0(_u7973) | ( _u7974 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7973), _u7974) = c_Groups_Ozero__class_Ozero(_u7973)) )).
% 12.29/12.53 cnf(matrix-3782, plain, ( ~class_Rings_Olinordered__idom(_u7975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7975), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7976)), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7977))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7976), _u7977)) )).
% 12.29/12.53 cnf(matrix-3783, plain, ( ~class_Rings_Olinordered__idom(_u7975) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7976), _u7977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7975), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7976)), hAPP(c_Int_Oring__1__class_Oof__int(_u7975), _u7977))) )).
% 12.29/12.53 cnf(matrix-3784, plain, ( ~class_Rings_Olinordered__idom(_u7978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7978), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7979)), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7979), _u7980)) )).
% 12.29/12.53 cnf(matrix-3785, plain, ( ~class_Rings_Olinordered__idom(_u7978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7979), _u7980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7978), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7979)), hAPP(c_Int_Oring__1__class_Oof__int(_u7978), _u7980))) )).
% 12.29/12.53 cnf(matrix-3786, plain, ( ~class_Rings_Oring__1(_u7981) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7981), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7982), _u7983)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7981), hAPP(c_Int_Oring__1__class_Oof__int(_u7981), _u7982)), hAPP(c_Int_Oring__1__class_Oof__int(_u7981), _u7983))) )).
% 12.29/12.53 cnf(matrix-3787, plain, ( ~class_Rings_Oring__1(_u7984) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7985), _u7986)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7984), hAPP(c_Int_Oring__1__class_Oof__int(_u7984), _u7985)), hAPP(c_Int_Oring__1__class_Oof__int(_u7984), _u7986))) )).
% 12.29/12.53 cnf(matrix-3788, plain, ( ~class_Rings_Oring__1(_u7987) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7987), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u7987)) )).
% 12.29/12.53 cnf(matrix-3789, plain, ( ~class_Rings_Oring__1(_u7988) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7989), _u7990)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7988), hAPP(c_Int_Oring__1__class_Oof__int(_u7988), _u7989)), hAPP(c_Int_Oring__1__class_Oof__int(_u7988), _u7990))) )).
% 12.29/12.53 cnf(matrix-3790, plain, ( ~class_Rings_Oring__1(_u7991) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7991), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7992)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7991), _u7992)) )).
% 12.29/12.53 cnf(matrix-3791, plain, ( ~class_Rings_Oring__1(_u7993) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7993), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7994)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7993), hAPP(c_Int_Oring__1__class_Oof__int(_u7993), _u7994))) )).
% 12.29/12.53 cnf(matrix-3792, plain, ( ~class_Rings_Oring__1(_u7995) | hBOOL(hAPP(hAPP(c_member(_u7995), hAPP(c_Int_Oring__1__class_Oof__int(_u7995), _u7996)), c_Int_Oring__1__class_OInts(_u7995))) )).
% 12.29/12.53 cnf(matrix-3793, plain, ( ~class_Rings_Oring__1(_u7997) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7997), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7998, tc_Int_Oint), _u7999), _u8000)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7998, _u7997), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7997, _u7998), c_Int_Oring__1__class_Oof__int(_u7997)), _u7999)), _u8000)) )).
% 12.29/12.53 cnf(matrix-3794, plain, ( ~class_Rings_Olinordered__idom(_u8001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8001), c_Groups_Ozero__class_Ozero(_u8001)), hAPP(c_Int_Oring__1__class_Oof__int(_u8001), _u8002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8002)) )).
% 12.29/12.53 cnf(matrix-3795, plain, ( ~class_Rings_Olinordered__idom(_u8001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8001), c_Groups_Ozero__class_Ozero(_u8001)), hAPP(c_Int_Oring__1__class_Oof__int(_u8001), _u8002))) )).
% 12.29/12.53 cnf(matrix-3796, plain, ( ~class_Rings_Olinordered__idom(_u8003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8003), hAPP(c_Int_Oring__1__class_Oof__int(_u8003), _u8004)), c_Groups_Ozero__class_Ozero(_u8003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8004), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3797, plain, ( ~class_Rings_Olinordered__idom(_u8003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8004), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8003), hAPP(c_Int_Oring__1__class_Oof__int(_u8003), _u8004)), c_Groups_Ozero__class_Ozero(_u8003))) )).
% 12.29/12.53 cnf(matrix-3798, plain, ( ~class_Rings_Olinordered__idom(_u8005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8005), c_Groups_Ozero__class_Ozero(_u8005)), hAPP(c_Int_Oring__1__class_Oof__int(_u8005), _u8006))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8006)) )).
% 12.29/12.53 cnf(matrix-3799, plain, ( ~class_Rings_Olinordered__idom(_u8005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8005), c_Groups_Ozero__class_Ozero(_u8005)), hAPP(c_Int_Oring__1__class_Oof__int(_u8005), _u8006))) )).
% 12.29/12.53 cnf(matrix-3800, plain, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8007), hAPP(c_Int_Oring__1__class_Oof__int(_u8007), _u8008)), c_Groups_Ozero__class_Ozero(_u8007))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3801, plain, ( ~class_Rings_Olinordered__idom(_u8007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8008), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8007), hAPP(c_Int_Oring__1__class_Oof__int(_u8007), _u8008)), c_Groups_Ozero__class_Ozero(_u8007))) )).
% 12.29/12.53 cnf(matrix-3802, plain, ( ~class_Rings_Oring__1(_u8009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8010)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8009), hAPP(c_Int_Onat, _u8010)) = hAPP(c_Int_Oring__1__class_Oof__int(_u8009), _u8010)) )).
% 12.29/12.53 cnf(matrix-3803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8015)) | ~hBOOL(hAPP(_u8014, _u8012)) | hBOOL(hAPP(_u8014, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8015), _u8013)))) | hBOOL(hAPP(_u8014, skolem203(_u8015, _u8014, _u8013))) )).
% 12.29/12.53 cnf(matrix-3804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8015)) | ~hBOOL(hAPP(_u8014, _u8012)) | hBOOL(hAPP(_u8014, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8012), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8015), _u8013)))) | ~hBOOL(hAPP(_u8014, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem203(_u8015, _u8014, _u8013)), _u8013))) )).
% 12.29/12.53 cnf(matrix-3805, plain, ( hBOOL(hAPP(_u8018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8018, _u8019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem204(_u8019, _u8018)), _u8019)) )).
% 12.29/12.53 cnf(matrix-3806, plain, ( hBOOL(hAPP(_u8018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8018, _u8019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8016), skolem204(_u8019, _u8018))) | ~hBOOL(hAPP(_u8018, _u8016)) )).
% 12.29/12.53 cnf(matrix-3807, plain, ( hBOOL(hAPP(_u8018, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u8018, _u8019)) | hBOOL(hAPP(_u8018, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem204(_u8019, _u8018)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.53 cnf(matrix-3808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem205(_u8021))) )).
% 12.29/12.53 cnf(matrix-3809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8021)) | ( _u8021 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem205(_u8021))) )).
% 12.29/12.53 cnf(matrix-3810, plain, ( ~class_Groups_Ocomm__monoid__add(_u8023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8024), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8024, tc_HOL_Obool)), _u8026), _u8025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8025)) | hBOOL(hAPP(hAPP(c_member(_u8024), skolem206(_u8027, _u8026, _u8025, _u8024, _u8023)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8024, tc_HOL_Obool)), _u8025), _u8026))) )).
% 12.29/12.53 cnf(matrix-3811, plain, ( ~class_Groups_Ocomm__monoid__add(_u8023) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8024), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8024, tc_HOL_Obool)), _u8026), _u8025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8026) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8024, _u8023), _u8027), _u8025)) | ( hAPP(_u8027, skolem206(_u8027, _u8026, _u8025, _u8024, _u8023)) != c_Groups_Ozero__class_Ozero(_u8023)) )).
% 12.29/12.53 cnf(matrix-3812, plain, ( ~class_Groups_Ocomm__monoid__add(_u8029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8030), _u8031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8030, tc_HOL_Obool)), _u8032), _u8031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8031) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8032)) | hBOOL(hAPP(hAPP(c_member(_u8030), skolem207(_u8033, _u8032, _u8031, _u8030, _u8029)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8030, tc_HOL_Obool)), _u8031), _u8032))) )).
% 12.29/12.53 cnf(matrix-3813, plain, ( ~class_Groups_Ocomm__monoid__add(_u8029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8030), _u8031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8030, tc_HOL_Obool)), _u8032), _u8031)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8031) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8030, _u8029), _u8033), _u8032)) | ( hAPP(_u8033, skolem207(_u8033, _u8032, _u8031, _u8030, _u8029)) != c_Groups_Ozero__class_Ozero(_u8029)) )).
% 12.29/12.53 cnf(matrix-3814, plain, ( ~class_Groups_Osgn__if(_u8034) | ( _u8035 != c_Groups_Ozero__class_Ozero(_u8034)) | ( c_Groups_Osgn__class_Osgn(_u8034, _u8035) = c_Groups_Ozero__class_Ozero(_u8034)) )).
% 12.29/12.53 cnf(matrix-3815, plain, ( ~class_Groups_Osgn__if(_u8034) | ( _u8035 = c_Groups_Ozero__class_Ozero(_u8034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8034), c_Groups_Ozero__class_Ozero(_u8034)), _u8035)) | ( c_Groups_Osgn__class_Osgn(_u8034, _u8035) = c_Groups_Oone__class_Oone(_u8034)) )).
% 12.29/12.53 cnf(matrix-3816, plain, ( ~class_Groups_Osgn__if(_u8034) | ( _u8035 = c_Groups_Ozero__class_Ozero(_u8034)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8034), c_Groups_Ozero__class_Ozero(_u8034)), _u8035)) | ( c_Groups_Osgn__class_Osgn(_u8034, _u8035) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8034), c_Groups_Oone__class_Oone(_u8034))) )).
% 12.29/12.53 cnf(matrix-3817, plain, ( ~class_Rings_Olinordered__idom(_u8036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8036), _u8037), c_Groups_Ozero__class_Ozero(_u8036))) | ( c_Groups_Osgn__class_Osgn(_u8036, _u8037) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8036), c_Groups_Oone__class_Oone(_u8036))) )).
% 12.29/12.53 cnf(matrix-3818, plain, ( ~class_Rings_Olinordered__idom(_u8038) | ( c_Groups_Osgn__class_Osgn(_u8038, _u8039) != hAPP(c_Groups_Ouminus__class_Ouminus(_u8038), c_Groups_Oone__class_Oone(_u8038))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8038), _u8039), c_Groups_Ozero__class_Ozero(_u8038))) )).
% 12.29/12.53 cnf(matrix-3819, plain, ( ~class_Rings_Olinordered__idom(_u8038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8038), _u8039), c_Groups_Ozero__class_Ozero(_u8038))) | ( c_Groups_Osgn__class_Osgn(_u8038, _u8039) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8038), c_Groups_Oone__class_Oone(_u8038))) )).
% 12.29/12.53 cnf(matrix-3820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8041), 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), _u8041), _u8042))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8040))), _u8042)) )).
% 12.29/12.53 cnf(matrix-3821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8044), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8045), 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), _u8045), _u8044))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u8043)))) )).
% 12.29/12.53 cnf(matrix-3822, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8046) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8046), hAPP(c_Groups_Oabs__class_Oabs(_u8046), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8047, _u8046), _u8048), _u8049))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8047, _u8046), hAPP(hAPP(c_COMBB(_u8046, _u8046, _u8047), c_Groups_Oabs__class_Oabs(_u8046)), _u8048)), _u8049))) )).
% 12.29/12.53 cnf(matrix-3823, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8050) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), c_Groups_Ozero__class_Ozero(_u8050)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8051, _u8050), hAPP(hAPP(c_COMBB(_u8050, _u8050, _u8051), c_Groups_Oabs__class_Oabs(_u8050)), _u8052)), _u8053))) )).
% 12.29/12.53 cnf(matrix-3824, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8054) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8054), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8055)), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8056))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8054), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8055)), hAPP(c_Groups_Oabs__class_Oabs(_u8054), _u8056))) )).
% 12.29/12.53 cnf(matrix-3825, plain, ( ~class_Rings_Olinordered__idom(_u8057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8057), hAPP(c_Groups_Oabs__class_Oabs(_u8057), _u8058)), hAPP(c_Groups_Oabs__class_Oabs(_u8057), _u8058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8057), _u8058), _u8058)) )).
% 12.29/12.53 cnf(matrix-3826, plain, ( ~class_Rings_Olinordered__idom(_u8059) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8059), _u8060), _u8061)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8059), hAPP(c_Groups_Oabs__class_Oabs(_u8059), _u8060)), hAPP(c_Groups_Oabs__class_Oabs(_u8059), _u8061))) )).
% 12.29/12.53 cnf(matrix-3827, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8062) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8062), _u8063), _u8064)) = hAPP(c_Groups_Oabs__class_Oabs(_u8062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8062), _u8064), _u8063))) )).
% 12.29/12.53 cnf(matrix-3828, plain, ( ~class_Rings_Olinordered__idom(_u8065) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8065), c_Groups_Oone__class_Oone(_u8065)) = c_Groups_Oone__class_Oone(_u8065)) )).
% 12.29/12.53 cnf(matrix-3829, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8066) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8066), hAPP(c_Groups_Ouminus__class_Ouminus(_u8066), _u8067)) = hAPP(c_Groups_Oabs__class_Oabs(_u8066), _u8067)) )).
% 12.29/12.53 cnf(matrix-3830, plain, ( ~class_Rings_Olinordered__idom(_u8068) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8068), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8068), _u8069)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8068), _u8069)) )).
% 12.29/12.53 cnf(matrix-3831, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8070) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8070), hAPP(c_Groups_Oabs__class_Oabs(_u8070), _u8071)), _u8072)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8070), _u8071), _u8072)) )).
% 12.29/12.53 cnf(matrix-3832, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8073) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8073), _u8074), hAPP(c_Groups_Oabs__class_Oabs(_u8073), _u8074))) )).
% 12.29/12.53 cnf(matrix-3833, plain, ( ~class_Rings_Olinordered__idom(_u8075) | ( c_Groups_Osgn__class_Osgn(_u8075, c_Groups_Osgn__class_Osgn(_u8075, _u8076)) = c_Groups_Osgn__class_Osgn(_u8075, _u8076)) )).
% 12.29/12.53 cnf(matrix-3834, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8077) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8077), hAPP(c_Groups_Oabs__class_Oabs(_u8077), _u8078)) = hAPP(c_Groups_Oabs__class_Oabs(_u8077), _u8078)) )).
% 12.29/12.53 cnf(matrix-3835, plain, ( ~class_Rings_Olinordered__idom(_u8079) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8079), c_Groups_Osgn__class_Osgn(_u8079, _u8080)), hAPP(c_Groups_Oabs__class_Oabs(_u8079), _u8080)) = _u8080) )).
% 12.29/12.53 cnf(matrix-3836, plain, ( ~class_Rings_Olinordered__idom(_u8081) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8081), _u8082) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8081), _u8082), c_Groups_Osgn__class_Osgn(_u8081, _u8082))) )).
% 12.29/12.53 cnf(matrix-3837, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8083) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8083), _u8084) != c_Groups_Ozero__class_Ozero(_u8083)) | ( _u8084 = c_Groups_Ozero__class_Ozero(_u8083)) )).
% 12.29/12.53 cnf(matrix-3838, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8083) | ( _u8084 != c_Groups_Ozero__class_Ozero(_u8083)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8083), _u8084) = c_Groups_Ozero__class_Ozero(_u8083)) )).
% 12.29/12.53 cnf(matrix-3839, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8085) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8085), c_Groups_Ozero__class_Ozero(_u8085)) = c_Groups_Ozero__class_Ozero(_u8085)) )).
% 12.29/12.53 cnf(matrix-3840, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8086)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8086)) )).
% 12.29/12.53 cnf(matrix-3841, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8087) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8087), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8088, _u8087), hAPP(hAPP(c_COMBB(_u8087, _u8087, _u8088), c_Groups_Oabs__class_Oabs(_u8087)), _u8089)), _u8090)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8088, _u8087), hAPP(hAPP(c_COMBB(_u8087, _u8087, _u8088), c_Groups_Oabs__class_Oabs(_u8087)), _u8089)), _u8090)) )).
% 12.29/12.53 cnf(matrix-3842, plain, ( ~class_Rings_Olinordered__idom(_u8091) | ( c_Groups_Osgn__class_Osgn(_u8091, _u8092) != c_Groups_Ozero__class_Ozero(_u8091)) | ( _u8092 = c_Groups_Ozero__class_Ozero(_u8091)) )).
% 12.29/12.53 cnf(matrix-3843, plain, ( ~class_Rings_Olinordered__idom(_u8091) | ( _u8092 != c_Groups_Ozero__class_Ozero(_u8091)) | ( c_Groups_Osgn__class_Osgn(_u8091, _u8092) = c_Groups_Ozero__class_Ozero(_u8091)) )).
% 12.29/12.53 cnf(matrix-3844, plain, ( ~class_Groups_Osgn__if(_u8093) | ( c_Groups_Osgn__class_Osgn(_u8093, c_Groups_Ozero__class_Ozero(_u8093)) = c_Groups_Ozero__class_Ozero(_u8093)) )).
% 12.29/12.53 cnf(matrix-3845, plain, ( ~class_Rings_Olinordered__idom(_u8094) | ( c_Groups_Osgn__class_Osgn(_u8094, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8096)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), c_Groups_Osgn__class_Osgn(_u8094, _u8095)), c_Groups_Osgn__class_Osgn(_u8094, _u8096))) )).
% 12.29/12.53 cnf(matrix-3846, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8097), c_Groups_Ozero__class_Ozero(_u8097)), _u8098)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8097), _u8098) = _u8098) )).
% 12.29/12.53 cnf(matrix-3847, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), hAPP(c_Groups_Oabs__class_Oabs(_u8099), _u8100)), c_Groups_Ozero__class_Ozero(_u8099))) | ( _u8100 = c_Groups_Ozero__class_Ozero(_u8099)) )).
% 12.29/12.53 cnf(matrix-3848, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8099) | ( _u8100 != c_Groups_Ozero__class_Ozero(_u8099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8099), hAPP(c_Groups_Oabs__class_Oabs(_u8099), _u8100)), c_Groups_Ozero__class_Ozero(_u8099))) )).
% 12.29/12.53 cnf(matrix-3849, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8101) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8101), c_Groups_Ozero__class_Ozero(_u8101)), hAPP(c_Groups_Oabs__class_Oabs(_u8101), _u8102))) )).
% 12.29/12.53 cnf(matrix-3850, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8103), c_Groups_Ozero__class_Ozero(_u8103)), _u8104)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8103), _u8104) = _u8104) )).
% 12.29/12.53 cnf(matrix-3851, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8105) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8105), c_Groups_Ozero__class_Ozero(_u8105)), hAPP(c_Groups_Oabs__class_Oabs(_u8105), _u8106))) | ( _u8106 != c_Groups_Ozero__class_Ozero(_u8105)) )).
% 12.29/12.53 cnf(matrix-3852, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8105) | ( _u8106 = c_Groups_Ozero__class_Ozero(_u8105)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8105), c_Groups_Ozero__class_Ozero(_u8105)), hAPP(c_Groups_Oabs__class_Oabs(_u8105), _u8106))) )).
% 12.29/12.53 cnf(matrix-3853, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8107), hAPP(c_Groups_Oabs__class_Oabs(_u8107), _u8108)), c_Groups_Ozero__class_Ozero(_u8107))) )).
% 12.29/12.53 cnf(matrix-3854, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8109) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8109), hAPP(c_Groups_Oabs__class_Oabs(_u8109), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8109), _u8110), _u8111))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8109), hAPP(c_Groups_Oabs__class_Oabs(_u8109), _u8110)), hAPP(c_Groups_Oabs__class_Oabs(_u8109), _u8111)))) )).
% 12.29/12.53 cnf(matrix-3855, plain, ( ~class_Rings_Olinordered__idom(_u8112) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8112), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8113)), _u8114)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8112), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8115)), _u8116)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8112), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8113)), hAPP(c_Groups_Oabs__class_Oabs(_u8112), _u8115))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8112), _u8114), _u8116))) )).
% 12.29/12.53 cnf(matrix-3856, 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), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8119)))), hAPP(c_Groups_Oabs__class_Oabs(_u8117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8117), _u8118), _u8119)))) )).
% 12.29/12.53 cnf(matrix-3857, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8120) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8120), hAPP(c_Groups_Oabs__class_Oabs(_u8120), _u8121)), hAPP(c_Groups_Oabs__class_Oabs(_u8120), _u8122))), hAPP(c_Groups_Oabs__class_Oabs(_u8120), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8120), _u8121), _u8122)))) )).
% 12.29/12.53 cnf(matrix-3858, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8123) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8123), hAPP(c_Groups_Oabs__class_Oabs(_u8123), _u8124)), hAPP(c_Groups_Oabs__class_Oabs(_u8123), _u8125))), hAPP(c_Groups_Oabs__class_Oabs(_u8123), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8123), _u8125), _u8124)))) )).
% 12.29/12.53 cnf(matrix-3859, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8126), hAPP(c_Groups_Ouminus__class_Ouminus(_u8126), _u8127)), _u8128)) )).
% 12.29/12.53 cnf(matrix-3860, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8129) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), _u8130), _u8131)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), hAPP(c_Groups_Ouminus__class_Ouminus(_u8129), _u8130)), _u8131)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8129), hAPP(c_Groups_Oabs__class_Oabs(_u8129), _u8130)), _u8131)) )).
% 12.29/12.53 cnf(matrix-3861, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Oabs__class_Oabs(_u8132), _u8133)), _u8134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), _u8133), _u8134)) )).
% 12.29/12.53 cnf(matrix-3862, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Oabs__class_Oabs(_u8132), _u8133)), _u8134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Ouminus__class_Ouminus(_u8132), _u8133)), _u8134)) )).
% 12.29/12.53 cnf(matrix-3863, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), _u8133), _u8134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Ouminus__class_Ouminus(_u8132), _u8133)), _u8134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8132), hAPP(c_Groups_Oabs__class_Oabs(_u8132), _u8133)), _u8134)) )).
% 12.29/12.53 cnf(matrix-3864, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8135), hAPP(c_Groups_Ouminus__class_Ouminus(_u8135), _u8136)), hAPP(c_Groups_Oabs__class_Oabs(_u8135), _u8136))) )).
% 12.29/12.53 cnf(matrix-3865, plain, ( ~class_Rings_Olinordered__idom(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Oabs__class_Oabs(_u8137), _u8138)), _u8139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), _u8138), _u8139)) )).
% 12.29/12.53 cnf(matrix-3866, plain, ( ~class_Rings_Olinordered__idom(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Oabs__class_Oabs(_u8137), _u8138)), _u8139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(_u8137), _u8138)), _u8139)) )).
% 12.29/12.53 cnf(matrix-3867, plain, ( ~class_Rings_Olinordered__idom(_u8137) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), _u8138), _u8139)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(_u8137), _u8138)), _u8139)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8137), hAPP(c_Groups_Oabs__class_Oabs(_u8137), _u8138)), _u8139)) )).
% 12.29/12.53 cnf(matrix-3868, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8140), _u8141)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8140) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3869, plain, ( ~class_Rings_Olinordered__idom(_u8142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8142), c_Groups_Ozero__class_Ozero(_u8142)), _u8143)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8142), hAPP(c_Groups_Oabs__class_Oabs(_u8142), _u8144)), _u8143) = hAPP(c_Groups_Oabs__class_Oabs(_u8142), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8142), _u8144), _u8143))) )).
% 12.29/12.53 cnf(matrix-3870, plain, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8147)) )).
% 12.29/12.53 cnf(matrix-3871, plain, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8147), c_Groups_Ozero__class_Ozero(_u8145))) )).
% 12.29/12.53 cnf(matrix-3872, plain, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8146), c_Groups_Ozero__class_Ozero(_u8145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), c_Groups_Ozero__class_Ozero(_u8145)), _u8147)) )).
% 12.29/12.53 cnf(matrix-3873, plain, ( ~class_Rings_Oordered__ring__abs(_u8145) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), _u8146), _u8147)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8145), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8146)), hAPP(c_Groups_Oabs__class_Oabs(_u8145), _u8147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8146), c_Groups_Ozero__class_Ozero(_u8145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8145), _u8147), c_Groups_Ozero__class_Ozero(_u8145))) )).
% 12.29/12.53 cnf(matrix-3874, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8148) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8148), hAPP(c_Groups_Oabs__class_Oabs(_u8148), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8148), _u8149), _u8150))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8148), hAPP(c_Groups_Oabs__class_Oabs(_u8148), _u8149)), hAPP(c_Groups_Oabs__class_Oabs(_u8148), _u8150)))) )).
% 12.29/12.53 cnf(matrix-3875, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8151), hAPP(c_Groups_Oabs__class_Oabs(_u8151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8151), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8151), _u8152), _u8153)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8151), _u8154), _u8155)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8151), hAPP(c_Groups_Oabs__class_Oabs(_u8151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8151), _u8152), _u8154))), hAPP(c_Groups_Oabs__class_Oabs(_u8151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8151), _u8153), _u8155))))) )).
% 12.29/12.53 cnf(matrix-3876, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8156) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8156), _u8157), c_Groups_Ozero__class_Ozero(_u8156))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8156), _u8157) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), _u8157)) )).
% 12.29/12.53 cnf(matrix-3877, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8158) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8158), hAPP(c_Groups_Ouminus__class_Ouminus(_u8158), hAPP(c_Groups_Oabs__class_Oabs(_u8158), _u8159))), c_Groups_Ozero__class_Ozero(_u8158))) )).
% 12.29/12.53 cnf(matrix-3878, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8160) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8160), _u8161), c_Groups_Ozero__class_Ozero(_u8160))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8160), _u8161) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8160), _u8161)) )).
% 12.29/12.53 cnf(matrix-3879, plain, ( ~class_Groups_Oabs__if(_u8162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8162), _u8163), c_Groups_Ozero__class_Ozero(_u8162))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8162), _u8163) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8162), _u8163)) )).
% 12.29/12.53 cnf(matrix-3880, plain, ( ~class_Groups_Oabs__if(_u8162) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8162), _u8163), c_Groups_Ozero__class_Ozero(_u8162))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8162), _u8163) = _u8163) )).
% 12.29/12.53 cnf(matrix-3881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8165)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u8165 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3882, plain, ( ( _u8166 != 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), _u8166)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8168), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8168) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8168)) )).
% 12.29/12.53 cnf(matrix-3884, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8169), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8169) = _u8169) )).
% 12.29/12.53 cnf(matrix-3885, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8170), _u8171))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8170))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8171)))) )).
% 12.29/12.53 cnf(matrix-3886, plain, ( ~class_Rings_Olinordered__idom(_u8172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), c_Groups_Osgn__class_Osgn(_u8172, _u8173)), c_Groups_Ozero__class_Ozero(_u8172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), _u8173), c_Groups_Ozero__class_Ozero(_u8172))) )).
% 12.29/12.53 cnf(matrix-3887, plain, ( ~class_Rings_Olinordered__idom(_u8172) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), _u8173), c_Groups_Ozero__class_Ozero(_u8172))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8172), c_Groups_Osgn__class_Osgn(_u8172, _u8173)), c_Groups_Ozero__class_Ozero(_u8172))) )).
% 12.29/12.53 cnf(matrix-3888, plain, ( ~class_Rings_Olinordered__idom(_u8174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), c_Groups_Osgn__class_Osgn(_u8174, _u8175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), _u8175)) )).
% 12.29/12.53 cnf(matrix-3889, plain, ( ~class_Rings_Olinordered__idom(_u8174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), _u8175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8174), c_Groups_Ozero__class_Ozero(_u8174)), c_Groups_Osgn__class_Osgn(_u8174, _u8175))) )).
% 12.29/12.53 cnf(matrix-3890, plain, ( ~class_Rings_Olinordered__idom(_u8176) | ( c_Groups_Osgn__class_Osgn(_u8176, _u8177) != c_Groups_Oone__class_Oone(_u8176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8176), c_Groups_Ozero__class_Ozero(_u8176)), _u8177)) )).
% 12.29/12.53 cnf(matrix-3891, plain, ( ~class_Rings_Olinordered__idom(_u8176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8176), c_Groups_Ozero__class_Ozero(_u8176)), _u8177)) | ( c_Groups_Osgn__class_Osgn(_u8176, _u8177) = c_Groups_Oone__class_Oone(_u8176)) )).
% 12.29/12.53 cnf(matrix-3892, plain, ( ~class_Rings_Olinordered__idom(_u8178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8178), c_Groups_Ozero__class_Ozero(_u8178)), _u8179)) | ( c_Groups_Osgn__class_Osgn(_u8178, _u8179) = c_Groups_Oone__class_Oone(_u8178)) )).
% 12.29/12.53 cnf(matrix-3893, plain, ( ( _u8181 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8181) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3894, plain, ( ( _u8182 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8182)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8182) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-3895, plain, ( ( _u8182 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8182)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u8182) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-3896, plain, ( ( c_Nitpick_Oint__lcm(_u8183, _u8184) = 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), _u8183)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8184))))) )).
% 12.29/12.53 cnf(matrix-3897, plain, ( ~class_Groups_Ocomm__monoid__add(_u8186) | ~class_Groups_Ocomm__monoid__mult(_u8186) | ( _u8187 != _u8188) | ~c_Nat__Transfer_Onat__set(_u8188) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8189), _u8187) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8190), _u8188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem208(_u8190, _u8189, _u8188, _u8187, _u8186))) )).
% 12.29/12.53 cnf(matrix-3898, plain, ( ~class_Groups_Ocomm__monoid__add(_u8186) | ~class_Groups_Ocomm__monoid__mult(_u8186) | ( _u8187 != _u8188) | ~c_Nat__Transfer_Onat__set(_u8188) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8189), _u8187) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u8186), _u8190), _u8188)) | ( hAPP(_u8189, skolem208(_u8190, _u8189, _u8188, _u8187, _u8186)) != hAPP(_u8190, skolem208(_u8190, _u8189, _u8188, _u8187, _u8186))) )).
% 12.29/12.53 cnf(matrix-3899, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8191), hAPP(c_Nat_OSuc, _u8192)) = 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), _u8191), _u8192))) )).
% 12.29/12.53 cnf(matrix-3900, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem210(_u8197, _u8196, _u8195)), _u8195)) )).
% 12.29/12.53 cnf(matrix-3901, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), _u8195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | ( hAPP(_u8196, skolem210(_u8197, _u8196, _u8195)) = _u8197) )).
% 12.29/12.53 cnf(matrix-3902, 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(_u8196, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8196, skolem209(_u8197, _u8196, _u8195))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem210(_u8197, _u8196, _u8195)), _u8195)) )).
% 12.29/12.53 cnf(matrix-3903, 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(_u8196, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem209(_u8197, _u8196, _u8195)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8196, skolem209(_u8197, _u8196, _u8195))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8196, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8197), hAPP(_u8196, _u8195))) | ( hAPP(_u8196, skolem210(_u8197, _u8196, _u8195)) = _u8197) )).
% 12.29/12.53 cnf(matrix-3904, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), _u8200)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem212(_u8202, _u8201, _u8200)), _u8200)) )).
% 12.29/12.53 cnf(matrix-3905, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), _u8200)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | ( hAPP(_u8201, skolem212(_u8202, _u8201, _u8200)) = _u8202) )).
% 12.29/12.53 cnf(matrix-3906, 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(_u8201, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8201, skolem211(_u8202, _u8201, _u8200))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem212(_u8202, _u8201, _u8200)), _u8200)) )).
% 12.29/12.53 cnf(matrix-3907, 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(_u8201, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem211(_u8202, _u8201, _u8200)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u8201, skolem211(_u8202, _u8201, _u8200))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u8201, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8202), hAPP(_u8201, _u8200))) | ( hAPP(_u8201, skolem212(_u8202, _u8201, _u8200)) = _u8202) )).
% 12.29/12.53 cnf(matrix-3908, plain, ( ( c_Nat_Onat_Onat__case(_u8203, _u8204, _u8205, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8204) )).
% 12.29/12.53 cnf(matrix-3909, plain, ( ( c_Nat_Onat_Onat__case(_u8206, _u8207, _u8208, hAPP(c_Nat_OSuc, _u8209)) = hAPP(_u8208, _u8209)) )).
% 12.29/12.53 cnf(matrix-3910, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8210)) | ( 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)), _u8210))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u8211))))) = 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)), _u8210))), 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, _u8211)))))) )).
% 12.29/12.53 cnf(matrix-3911, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8212)) | ( 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)), _u8212))), 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, _u8213))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-3912, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8214)) | ( 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)), _u8214))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u8215)))) = 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)), _u8214))), 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, _u8215)))))) )).
% 12.29/12.53 cnf(matrix-3913, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8217), _u8218)) | c_Fun_Obij__betw(tc_Nat_Onat, _u8217, skolem213(_u8218, _u8217), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8217), _u8218)), _u8218) )).
% 12.29/12.53 cnf(matrix-3914, 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)), _u8221), _u8220) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem214(_u8221, _u8220)), _u8220)) )).
% 12.29/12.53 cnf(matrix-3915, 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)), _u8221), _u8220) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8221), skolem214(_u8221, _u8220))) )).
% 12.29/12.53 cnf(matrix-3916, plain, ( ~hBOOL(hAPP(_u8222, _u8223)) | hBOOL(hAPP(hAPP(c_member(_u8224), _u8223), hAPP(c_Set_OCollect(_u8224), _u8222))) )).
% 12.29/12.53 cnf(matrix-3917, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), hAPP(hAPP(c_COMBS(_u8225, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8225), c_fconj), _u8226)), _u8227)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), _u8226))) )).
% 12.29/12.53 cnf(matrix-3918, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), hAPP(hAPP(c_COMBS(_u8225, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8225), c_fconj), _u8226)), _u8227)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8225), hAPP(c_Set_OCollect(_u8225), _u8227))) )).
% 12.29/12.53 cnf(matrix-3919, 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)), _u8228)))) )).
% 12.29/12.53 cnf(matrix-3920, 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)), _u8229)))) )).
% 12.29/12.53 cnf(matrix-3921, plain, ( ( hAPP(c_Set_OCollect(_u8230), _u8231) = _u8231) )).
% 12.29/12.53 cnf(matrix-3922, plain, ( ~hBOOL(hAPP(_u8238, _u8232)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8236, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u8236), _u8238)) )).
% 12.29/12.53 cnf(matrix-3923, plain, ( hBOOL(hAPP(_u8239, skolem215(_u8239))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u8237, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u8237), _u8239)) )).
% 12.29/12.53 cnf(matrix-3924, plain, ( ~hBOOL(hAPP(_u8246, _u8240)) | ( hAPP(c_Set_OCollect(_u8244), _u8246) != c_Orderings_Obot__class_Obot(tc_fun(_u8244, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3925, plain, ( hBOOL(hAPP(_u8247, skolem216(_u8247))) | ( hAPP(c_Set_OCollect(_u8245), _u8247) = c_Orderings_Obot__class_Obot(tc_fun(_u8245, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3926, plain, ( ( hAPP(c_Set_OCollect(_u8248), hAPP(hAPP(c_COMBC(_u8248, tc_fun(_u8248, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8248)), _u8249)) = _u8249) )).
% 12.29/12.53 cnf(matrix-3927, plain, ( hBOOL(hAPP(_u8257, _u8255)) | ~hBOOL(hAPP(hAPP(c_member(_u8253), _u8255), hAPP(c_Set_OCollect(_u8253), _u8257))) )).
% 12.29/12.53 cnf(matrix-3928, plain, ( ~hBOOL(hAPP(_u8258, _u8256)) | hBOOL(hAPP(hAPP(c_member(_u8254), _u8256), hAPP(c_Set_OCollect(_u8254), _u8258))) )).
% 12.29/12.53 cnf(matrix-3929, plain, ( hBOOL(hAPP(_u8261, _u8260)) | ~hBOOL(hAPP(hAPP(c_member(_u8259), _u8260), hAPP(c_Set_OCollect(_u8259), _u8261))) )).
% 12.29/12.53 cnf(matrix-3930, plain, ( hBOOL(hAPP(_u8264, _u8263)) | ~hBOOL(hAPP(hAPP(c_member(_u8262), _u8263), hAPP(c_Set_OCollect(_u8262), _u8264))) )).
% 12.29/12.53 cnf(matrix-3931, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u8265, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u8265), hAPP(c_COMBK(tc_HOL_Obool, _u8265), c_fFalse))) )).
% 12.29/12.53 cnf(matrix-3932, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), hAPP(hAPP(c_COMBS(_u8269, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8269), c_fdisj), _u8271)), _u8273)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), _u8271))) )).
% 12.29/12.53 cnf(matrix-3933, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), hAPP(hAPP(c_COMBS(_u8269, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8269), c_fdisj), _u8271)), _u8273)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8269), hAPP(c_Set_OCollect(_u8269), _u8273))) )).
% 12.29/12.53 cnf(matrix-3934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8270), hAPP(c_Set_OCollect(_u8270), _u8272))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8270), hAPP(c_Set_OCollect(_u8270), _u8274))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8270), hAPP(c_Set_OCollect(_u8270), hAPP(hAPP(c_COMBS(_u8270, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8270), c_fdisj), _u8272)), _u8274)))) )).
% 12.29/12.53 cnf(matrix-3935, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8275), _u8276), hAPP(c_Set_OCollect(_u8275), _u8277)) = hAPP(c_Set_OCollect(_u8275), hAPP(hAPP(c_COMBS(_u8275, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8275), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8275), c_fNot), hAPP(hAPP(c_COMBC(_u8275, _u8275, tc_HOL_Obool), c_fequal), _u8276)))), _u8277))) )).
% 12.29/12.53 cnf(matrix-3936, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8278, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u8278), hAPP(c_COMBK(tc_HOL_Obool, _u8278), c_fTrue))) )).
% 12.29/12.53 cnf(matrix-3937, plain, ( ( hAPP(c_Set_OCollect(_u8279), hAPP(hAPP(c_COMBS(_u8279, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8279), c_fdisj), _u8280)), _u8281)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8279, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8279), _u8280)), hAPP(c_Set_OCollect(_u8279), _u8281))) )).
% 12.29/12.53 cnf(matrix-3938, plain, ( ( hAPP(c_Set_OCollect(_u8282), hAPP(hAPP(c_COMBS(_u8282, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8282), c_fconj), _u8283)), _u8284)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8282, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8282), _u8283)), hAPP(c_Set_OCollect(_u8282), _u8284))) )).
% 12.29/12.53 cnf(matrix-3939, plain, ( ( hAPP(c_Set_OCollect(_u8285), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8285), c_fNot), _u8286)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8285, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8285), _u8286))) )).
% 12.29/12.53 cnf(matrix-3940, plain, ( ( hAPP(c_Set_Ovimage(_u8287, _u8288, _u8289), hAPP(c_Set_OCollect(_u8288), _u8290)) = hAPP(c_Set_OCollect(_u8287), hAPP(hAPP(c_COMBB(_u8288, tc_HOL_Obool, _u8287), _u8290), _u8289))) )).
% 12.29/12.53 cnf(matrix-3941, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8291), _u8292), _u8293) = hAPP(c_Set_OCollect(_u8291), hAPP(hAPP(c_COMBS(_u8291, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8291), c_fdisj), hAPP(hAPP(c_COMBC(_u8291, _u8291, tc_HOL_Obool), c_fequal), _u8292))), hAPP(hAPP(c_COMBC(_u8291, tc_fun(_u8291, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8291)), _u8293)))) )).
% 12.29/12.53 cnf(matrix-3942, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8294), _u8295), _u8296) = hAPP(c_Set_OCollect(_u8294), hAPP(hAPP(c_COMBS(_u8294, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8294), c_fdisj), hAPP(hAPP(c_COMBC(_u8294, _u8294, tc_HOL_Obool), c_fequal), _u8295))), hAPP(hAPP(c_COMBC(_u8294, tc_fun(_u8294, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8294)), _u8296)))) )).
% 12.29/12.53 cnf(matrix-3943, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8297, tc_HOL_Obool)), _u8298), _u8299) = hAPP(c_Set_OCollect(_u8297), hAPP(hAPP(c_COMBS(_u8297, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8297), c_fdisj), hAPP(hAPP(c_COMBC(_u8297, tc_fun(_u8297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8297)), _u8298))), hAPP(hAPP(c_COMBC(_u8297, tc_fun(_u8297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8297)), _u8299)))) )).
% 12.29/12.53 cnf(matrix-3944, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8300, tc_HOL_Obool)), _u8301), _u8302) = hAPP(c_Set_OCollect(_u8300), hAPP(hAPP(c_COMBS(_u8300, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8300), c_fconj), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8301))), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8302)))) )).
% 12.29/12.53 cnf(matrix-3945, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8307), _u8309), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8307, tc_HOL_Obool)), _u8311), hAPP(c_Set_OCollect(_u8307), _u8313)))) | hBOOL(hAPP(hAPP(c_member(_u8307), _u8309), _u8311)) )).
% 12.29/12.53 cnf(matrix-3946, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8307), _u8309), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8307, tc_HOL_Obool)), _u8311), hAPP(c_Set_OCollect(_u8307), _u8313)))) | hBOOL(hAPP(_u8313, _u8309)) )).
% 12.29/12.53 cnf(matrix-3947, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8308), _u8310), _u8312)) | ~hBOOL(hAPP(_u8314, _u8310)) | hBOOL(hAPP(hAPP(c_member(_u8308), _u8310), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8308, tc_HOL_Obool)), _u8312), hAPP(c_Set_OCollect(_u8308), _u8314)))) )).
% 12.29/12.53 cnf(matrix-3948, plain, ( ( hAPP(c_Set_OCollect(_u8315), hAPP(c_fequal, _u8316)) = hAPP(hAPP(c_Set_Oinsert(_u8315), _u8316), c_Orderings_Obot__class_Obot(tc_fun(_u8315, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3949, plain, ( ( hAPP(c_Set_OCollect(_u8317), hAPP(hAPP(c_COMBC(_u8317, _u8317, tc_HOL_Obool), c_fequal), _u8318)) = hAPP(hAPP(c_Set_Oinsert(_u8317), _u8318), c_Orderings_Obot__class_Obot(tc_fun(_u8317, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3950, plain, ( ~hBOOL(hAPP(_u8322, _u8324)) | ( hAPP(c_Set_OCollect(_u8326), hAPP(hAPP(c_COMBS(_u8326, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8326), c_fconj), hAPP(c_fequal, _u8324))), _u8322)) = hAPP(hAPP(c_Set_Oinsert(_u8326), _u8324), c_Orderings_Obot__class_Obot(tc_fun(_u8326, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3951, plain, ( hBOOL(hAPP(_u8323, _u8325)) | ( hAPP(c_Set_OCollect(_u8327), hAPP(hAPP(c_COMBS(_u8327, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8327), c_fconj), hAPP(c_fequal, _u8325))), _u8323)) = c_Orderings_Obot__class_Obot(tc_fun(_u8327, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3952, plain, ( ~hBOOL(hAPP(_u8331, _u8333)) | ( hAPP(c_Set_OCollect(_u8335), hAPP(hAPP(c_COMBS(_u8335, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8335), c_fconj), hAPP(hAPP(c_COMBC(_u8335, _u8335, tc_HOL_Obool), c_fequal), _u8333))), _u8331)) = hAPP(hAPP(c_Set_Oinsert(_u8335), _u8333), c_Orderings_Obot__class_Obot(tc_fun(_u8335, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3953, plain, ( hBOOL(hAPP(_u8332, _u8334)) | ( hAPP(c_Set_OCollect(_u8336), hAPP(hAPP(c_COMBS(_u8336, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8336), c_fconj), hAPP(hAPP(c_COMBC(_u8336, _u8336, tc_HOL_Obool), c_fequal), _u8334))), _u8332)) = c_Orderings_Obot__class_Obot(tc_fun(_u8336, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-3954, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8337, tc_HOL_Obool)), _u8338), _u8339) = hAPP(c_Set_OCollect(_u8337), hAPP(hAPP(c_COMBS(_u8337, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8337), c_fconj), hAPP(hAPP(c_COMBC(_u8337, tc_fun(_u8337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8337)), _u8338))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8337), c_fNot), hAPP(hAPP(c_COMBC(_u8337, tc_fun(_u8337, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8337)), _u8339))))) )).
% 12.29/12.53 cnf(matrix-3955, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), _u8341))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8340), c_fNot), _u8341)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), c_Orderings_Otop__class_Otop(tc_fun(_u8340, tc_HOL_Obool)))) )).
% 12.29/12.53 cnf(matrix-3956, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), _u8341))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), c_Orderings_Otop__class_Otop(tc_fun(_u8340, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8340), hAPP(c_Set_OCollect(_u8340), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8340), c_fNot), _u8341)))) )).
% 12.29/12.53 cnf(matrix-3957, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8342), _u8343), _u8344) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8342, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8342), hAPP(hAPP(c_COMBC(_u8342, _u8342, tc_HOL_Obool), c_fequal), _u8343))), _u8344)) )).
% 12.29/12.53 cnf(matrix-3958, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8345, tc_HOL_Obool)), _u8346) = hAPP(c_Set_OCollect(_u8345), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8345), c_fNot), hAPP(hAPP(c_COMBC(_u8345, tc_fun(_u8345, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8345)), _u8346)))) )).
% 12.29/12.53 cnf(matrix-3959, plain, ( ( hAPP(c_Set_Ovimage(_u8347, _u8348, _u8349), _u8350) = hAPP(c_Set_OCollect(_u8347), hAPP(hAPP(c_COMBC(_u8347, tc_fun(_u8348, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8348, tc_fun(tc_fun(_u8348, tc_HOL_Obool), tc_HOL_Obool), _u8347), c_member(_u8348)), _u8349)), _u8350))) )).
% 12.29/12.53 cnf(matrix-3960, plain, ( ( hAPP(c_Set_OCollect(_u8351), hAPP(hAPP(c_COMBS(_u8351, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8351), c_fimplies), _u8352)), _u8353)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8351, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8351, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8351), _u8352))), hAPP(c_Set_OCollect(_u8351), _u8353))) )).
% 12.29/12.53 cnf(matrix-3961, 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), _u8354)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u8355))))) )).
% 12.29/12.53 cnf(matrix-3962, plain, ( ~class_Groups_Ocomm__monoid__add(_u8356) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8357), _u8358)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8359), _u8360)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8357, _u8356), hAPP(hAPP(c_COMBS(_u8357, tc_fun(_u8359, tc_HOL_Obool), _u8356), hAPP(hAPP(c_COMBB(tc_fun(_u8359, _u8356), tc_fun(tc_fun(_u8359, tc_HOL_Obool), _u8356), _u8357), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8359, _u8356)), _u8361)), hAPP(hAPP(c_COMBB(tc_fun(_u8359, tc_HOL_Obool), tc_fun(_u8359, tc_HOL_Obool), _u8357), c_Set_OCollect(_u8359)), hAPP(hAPP(c_COMBB(tc_fun(_u8359, tc_HOL_Obool), tc_fun(_u8359, tc_HOL_Obool), _u8357), hAPP(c_COMBS(_u8359, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8359), c_fconj), hAPP(hAPP(c_COMBC(_u8359, tc_fun(_u8359, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8359)), _u8360)))), _u8362)))), _u8358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8359, _u8356), hAPP(hAPP(c_COMBS(_u8359, tc_fun(_u8357, tc_HOL_Obool), _u8356), hAPP(hAPP(c_COMBB(tc_fun(_u8357, _u8356), tc_fun(tc_fun(_u8357, tc_HOL_Obool), _u8356), _u8359), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8357, _u8356)), hAPP(c_COMBC(_u8357, _u8359, _u8356), _u8361))), hAPP(hAPP(c_COMBB(tc_fun(_u8357, tc_HOL_Obool), tc_fun(_u8357, tc_HOL_Obool), _u8359), c_Set_OCollect(_u8357)), hAPP(hAPP(c_COMBB(tc_fun(_u8357, tc_HOL_Obool), tc_fun(_u8357, tc_HOL_Obool), _u8359), hAPP(c_COMBS(_u8357, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8357), c_fconj), hAPP(hAPP(c_COMBC(_u8357, tc_fun(_u8357, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8357)), _u8358)))), hAPP(c_COMBC(_u8357, _u8359, tc_HOL_Obool), _u8362))))), _u8360)) )).
% 12.29/12.53 cnf(matrix-3963, plain, ( ( hAPP(c_Set_Oimage(_u8363, _u8364, hAPP(hAPP(c_COMBS(_u8363, _u8364, _u8364), hAPP(hAPP(c_COMBS(_u8363, _u8364, tc_fun(_u8364, _u8364)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8364, tc_fun(_u8364, _u8364)), _u8363), c_If(_u8364)), _u8365)), _u8366)), _u8367)), _u8368) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8364, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8363, _u8364, _u8366), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8363, tc_HOL_Obool)), _u8368), hAPP(c_Set_OCollect(_u8363), _u8365)))), hAPP(c_Set_Oimage(_u8363, _u8364, _u8367), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8363, tc_HOL_Obool)), _u8368), hAPP(c_Set_OCollect(_u8363), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8363), c_fNot), _u8365)))))) )).
% 12.29/12.53 cnf(matrix-3964, plain, ( ( _u8369 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u8370, _u8371), 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)), _u8372)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8370), _u8369)) )).
% 12.29/12.53 cnf(matrix-3965, plain, ( ~class_Groups_Ocomm__monoid__add(_u8373) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8374), _u8375)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8374, _u8373), _u8376), hAPP(c_Set_OCollect(_u8374), hAPP(hAPP(c_COMBS(_u8374, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8374), c_fconj), hAPP(hAPP(c_COMBC(_u8374, tc_fun(_u8374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8374)), _u8375))), hAPP(hAPP(c_COMBC(_u8374, tc_fun(_u8374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8374)), _u8377)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8374, _u8373), hAPP(hAPP(c_COMBC(_u8374, _u8373, _u8373), hAPP(hAPP(c_COMBS(_u8374, _u8373, tc_fun(_u8373, _u8373)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8373, tc_fun(_u8373, _u8373)), _u8374), c_If(_u8373)), hAPP(hAPP(c_COMBC(_u8374, tc_fun(_u8374, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8374)), _u8377))), _u8376)), c_Groups_Ozero__class_Ozero(_u8373))), _u8375)) )).
% 12.29/12.53 cnf(matrix-3966, plain, ( ~class_Groups_Ocomm__monoid__add(_u8378) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8379), _u8380)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8379, _u8378), _u8381), _u8380) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8382, _u8378), hAPP(hAPP(c_COMBB(tc_fun(_u8379, tc_HOL_Obool), _u8378, _u8382), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8379, _u8378), _u8381)), hAPP(hAPP(c_COMBB(tc_fun(_u8379, tc_HOL_Obool), tc_fun(_u8379, tc_HOL_Obool), _u8382), c_Set_OCollect(_u8379)), hAPP(hAPP(c_COMBB(tc_fun(_u8379, tc_HOL_Obool), tc_fun(_u8379, tc_HOL_Obool), _u8382), hAPP(c_COMBS(_u8379, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8379), c_fconj), hAPP(hAPP(c_COMBC(_u8379, tc_fun(_u8379, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8379)), _u8380)))), hAPP(c_COMBC(_u8379, _u8382, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8382, tc_fun(_u8382, tc_HOL_Obool), _u8379), c_fequal), _u8383)))))), hAPP(c_Set_Oimage(_u8379, _u8382, _u8383), _u8380))) )).
% 12.29/12.53 cnf(matrix-3967, plain, ( ~class_Groups_Ocomm__monoid__add(_u8384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8385), _u8386)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8385, _u8384), hAPP(hAPP(c_COMBS(_u8385, _u8384, _u8384), hAPP(hAPP(c_COMBS(_u8385, _u8384, tc_fun(_u8384, _u8384)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8384, tc_fun(_u8384, _u8384)), _u8385), c_If(_u8384)), _u8387)), _u8388)), _u8389)), _u8386) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8384), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8385, _u8384), _u8388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8385, tc_HOL_Obool)), _u8386), hAPP(c_Set_OCollect(_u8385), _u8387)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8385, _u8384), _u8389), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8385, tc_HOL_Obool)), _u8386), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8385, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8385), _u8387)))))) )).
% 12.29/12.53 cnf(matrix-3968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8392)), _u8394)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8392), _u8394)) )).
% 12.29/12.53 cnf(matrix-3969, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8393), _u8395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8393)), _u8395)) )).
% 12.29/12.53 cnf(matrix-3970, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8397), _u8398)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8400)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8397, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_Nat_Onat, _u8397), c_Finite__Set_Ocard(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), c_Set_OCollect(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), hAPP(c_COMBS(_u8399, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8399), c_fconj), hAPP(hAPP(c_COMBC(_u8399, tc_fun(_u8399, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8399)), _u8400)))), _u8401)))), _u8398) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8402), hAPP(c_Finite__Set_Ocard(_u8399), _u8400))) | hBOOL(hAPP(hAPP(c_member(_u8399), skolem217(_u8402, _u8401, _u8400, _u8399, _u8398, _u8397)), _u8400)) )).
% 12.29/12.53 cnf(matrix-3971, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8397), _u8398)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8399), _u8400)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8397, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_Nat_Onat, _u8397), c_Finite__Set_Ocard(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), c_Set_OCollect(_u8399)), hAPP(hAPP(c_COMBB(tc_fun(_u8399, tc_HOL_Obool), tc_fun(_u8399, tc_HOL_Obool), _u8397), hAPP(c_COMBS(_u8399, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8399), c_fconj), hAPP(hAPP(c_COMBC(_u8399, tc_fun(_u8399, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8399)), _u8400)))), _u8401)))), _u8398) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8402), hAPP(c_Finite__Set_Ocard(_u8399), _u8400))) | ( hAPP(c_Finite__Set_Ocard(_u8397), hAPP(c_Set_OCollect(_u8397), hAPP(hAPP(c_COMBS(_u8397, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8397), c_fconj), hAPP(hAPP(c_COMBC(_u8397, tc_fun(_u8397, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8397)), _u8398))), hAPP(hAPP(c_COMBC(_u8397, _u8399, tc_HOL_Obool), _u8401), skolem217(_u8402, _u8401, _u8400, _u8399, _u8398, _u8397))))) != _u8402) )).
% 12.29/12.53 cnf(matrix-3972, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8404), _u8405)) | c_Fun_Obij__betw(tc_Nat_Onat, _u8404, skolem218(_u8405, _u8404), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u8404), _u8405)), _u8405) )).
% 12.29/12.53 cnf(matrix-3973, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8407), _u8408), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8407, tc_HOL_Obool), _u8409))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8407, tc_HOL_Obool), tc_fun(_u8407, tc_HOL_Obool), _u8409) | hBOOL(hAPP(_u8410, _u8408)) | hBOOL(hAPP(hAPP(c_member(_u8407), skolem219(_u8410, _u8409, _u8408, _u8407)), hAPP(_u8409, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8407, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8407, tc_HOL_Obool), _u8409)), hAPP(c_Set_OCollect(_u8407), _u8410))))) )).
% 12.29/12.53 cnf(matrix-3974, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8407), _u8408), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8407, tc_HOL_Obool), _u8409))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8407, tc_HOL_Obool), tc_fun(_u8407, tc_HOL_Obool), _u8409) | hBOOL(hAPP(_u8410, _u8408)) | ~hBOOL(hAPP(_u8410, skolem219(_u8410, _u8409, _u8408, _u8407))) )).
% 12.29/12.53 cnf(matrix-3975, plain, ( ( _u8412 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8413, tc_HOL_Obool), _u8414)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8413, tc_HOL_Obool), tc_fun(_u8413, tc_HOL_Obool), _u8414) | ~hBOOL(hAPP(hAPP(c_member(_u8413), _u8415), _u8412)) | hBOOL(hAPP(_u8416, _u8415)) | hBOOL(hAPP(hAPP(c_member(_u8413), skolem220(_u8416, _u8415, _u8414, _u8413, _u8412)), hAPP(_u8414, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8413, tc_HOL_Obool)), _u8412), hAPP(c_Set_OCollect(_u8413), _u8416))))) )).
% 12.29/12.53 cnf(matrix-3976, plain, ( ( _u8412 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u8413, tc_HOL_Obool), _u8414)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8413, tc_HOL_Obool), tc_fun(_u8413, tc_HOL_Obool), _u8414) | ~hBOOL(hAPP(hAPP(c_member(_u8413), _u8415), _u8412)) | hBOOL(hAPP(_u8416, _u8415)) | ~hBOOL(hAPP(_u8416, skolem220(_u8416, _u8415, _u8414, _u8413, _u8412))) )).
% 12.29/12.53 cnf(matrix-3977, plain, ( ( _u8418 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420)) | ~hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8422)) | hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8418)) | hBOOL(hAPP(hAPP(c_member(_u8419), skolem221(_u8422, _u8421, _u8420, _u8419, _u8418)), _u8422)) )).
% 12.29/12.53 cnf(matrix-3978, plain, ( ( _u8418 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool), tc_fun(_u8419, tc_HOL_Obool)), c_Set_OCollect(_u8419)), _u8420)) | ~hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8422)) | hBOOL(hAPP(hAPP(c_member(_u8419), _u8421), _u8418)) | ~hBOOL(hAPP(hAPP(_u8420, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8419, tc_HOL_Obool)), _u8422), _u8418)), skolem221(_u8422, _u8421, _u8420, _u8419, _u8418))) )).
% 12.29/12.53 cnf(matrix-3979, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8423), _u8424)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u8423, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u8423, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u8423, tc_HOL_Obool), tc_fun(_u8423, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u8423, tc_HOL_Obool))), _u8424)))) )).
% 12.29/12.53 cnf(matrix-3980, plain, ( ( hAPP(c_Set_OPow(_u8425), _u8426) = hAPP(c_Set_OCollect(tc_fun(_u8425, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u8425, tc_HOL_Obool), tc_fun(_u8425, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u8425, tc_HOL_Obool))), _u8426))) )).
% 12.29/12.53 cnf(matrix-3981, 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)))), _u8427))) )).
% 12.29/12.53 cnf(matrix-3982, 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)))), _u8428)) = 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), _u8428), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 12.29/12.53 cnf(matrix-3983, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u8429) = 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), _u8429), c_Int_Onat))))) )).
% 12.29/12.53 cnf(matrix-3984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8431), _u8432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8433), _u8434)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_Nat_Onat, _u8431), c_Finite__Set_Ocard(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), c_Set_OCollect(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), hAPP(c_COMBS(_u8433, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8433), c_fconj), hAPP(hAPP(c_COMBC(_u8433, tc_fun(_u8433, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8433)), _u8434)))), _u8435)))), _u8432) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8433, tc_Nat_Onat), _u8436), _u8434)) | hBOOL(hAPP(hAPP(c_member(_u8433), skolem222(_u8436, _u8435, _u8434, _u8433, _u8432, _u8431)), _u8434)) )).
% 12.29/12.53 cnf(matrix-3985, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8431), _u8432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8433), _u8434)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8431, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_Nat_Onat, _u8431), c_Finite__Set_Ocard(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), c_Set_OCollect(_u8433)), hAPP(hAPP(c_COMBB(tc_fun(_u8433, tc_HOL_Obool), tc_fun(_u8433, tc_HOL_Obool), _u8431), hAPP(c_COMBS(_u8433, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8433), c_fconj), hAPP(hAPP(c_COMBC(_u8433, tc_fun(_u8433, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8433)), _u8434)))), _u8435)))), _u8432) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8433, tc_Nat_Onat), _u8436), _u8434)) | ( hAPP(c_Finite__Set_Ocard(_u8431), hAPP(c_Set_OCollect(_u8431), hAPP(hAPP(c_COMBS(_u8431, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8431), c_fconj), hAPP(hAPP(c_COMBC(_u8431, tc_fun(_u8431, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8431)), _u8432))), hAPP(hAPP(c_COMBC(_u8431, _u8433, tc_HOL_Obool), _u8435), skolem222(_u8436, _u8435, _u8434, _u8433, _u8432, _u8431))))) != hAPP(_u8436, skolem222(_u8436, _u8435, _u8434, _u8433, _u8432, _u8431))) )).
% 12.29/12.53 cnf(matrix-3986, plain, ( ~class_Lattices_Odistrib__lattice(_u8437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8437), _u8438)) | ( _u8438 = c_Orderings_Obot__class_Obot(tc_fun(_u8437, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8437), _u8439)) | ( _u8439 = c_Orderings_Obot__class_Obot(tc_fun(_u8437, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8437), c_Big__Operators_Olattice__class_OSup__fin(_u8437, _u8438)), c_Big__Operators_Olattice__class_OSup__fin(_u8437, _u8439)) = c_Big__Operators_Olattice__class_OSup__fin(_u8437, hAPP(c_Set_OCollect(_u8437), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool, _u8437), c_HOL_OEx(_u8437)), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_HOL_Obool), _u8437), hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool, _u8437), c_HOL_OEx(_u8437))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool))), tc_fun(tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), _u8437), c_COMBS(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u8437, tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool))), _u8437), hAPP(c_COMBB(tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool)), _u8437), c_COMBS(_u8437, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool)), tc_fun(_u8437, tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u8437), hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8437), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8437), c_fconj))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_fun(_u8437, _u8437)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8437, _u8437), tc_fun(_u8437, tc_HOL_Obool)), tc_fun(tc_fun(_u8437, tc_fun(_u8437, _u8437)), tc_fun(_u8437, tc_fun(_u8437, tc_HOL_Obool))), _u8437), c_COMBB(tc_fun(_u8437, _u8437), tc_fun(_u8437, tc_HOL_Obool), _u8437)), hAPP(hAPP(c_COMBB(tc_fun(_u8437, tc_HOL_Obool), tc_fun(tc_fun(_u8437, _u8437), tc_fun(_u8437, tc_HOL_Obool)), _u8437), c_COMBB(_u8437, tc_HOL_Obool, _u8437)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u8437)))))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8437, tc_HOL_Obool), tc_fun(_u8437, tc_HOL_Obool)), _u8437), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8437)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8437), c_fconj), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8437)), _u8438)))), hAPP(hAPP(c_COMBC(_u8437, tc_fun(_u8437, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8437)), _u8439)))))))) )).
% 12.29/12.53 cnf(matrix-3987, plain, ( ~class_Lattices_Odistrib__lattice(_u8440) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8440), _u8441)) | ( _u8441 = c_Orderings_Obot__class_Obot(tc_fun(_u8440, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8440), _u8442), c_Big__Operators_Olattice__class_OSup__fin(_u8440, _u8441)) = c_Big__Operators_Olattice__class_OSup__fin(_u8440, hAPP(c_Set_OCollect(_u8440), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_HOL_Obool, _u8440), c_HOL_OEx(_u8440)), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_HOL_Obool)), _u8440), c_COMBS(_u8440, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_fun(_u8440, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8440), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8440), c_fconj)), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, _u8440), tc_fun(_u8440, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8440, tc_HOL_Obool), tc_fun(tc_fun(_u8440, _u8440), tc_fun(_u8440, tc_HOL_Obool)), _u8440), c_COMBB(_u8440, tc_HOL_Obool, _u8440)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8440), _u8442))))), hAPP(hAPP(c_COMBC(_u8440, tc_fun(_u8440, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8440)), _u8441)))))) )).
% 12.29/12.53 cnf(matrix-3988, plain, ( ~class_Lattices_Odistrib__lattice(_u8443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8444)) | ( _u8444 = c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8443), _u8445)) | ( _u8445 = c_Orderings_Obot__class_Obot(tc_fun(_u8443, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8443), c_Big__Operators_Olattice__class_OInf__fin(_u8443, _u8444)), c_Big__Operators_Olattice__class_OInf__fin(_u8443, _u8445)) = c_Big__Operators_Olattice__class_OInf__fin(_u8443, hAPP(c_Set_OCollect(_u8443), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool, _u8443), c_HOL_OEx(_u8443)), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_HOL_Obool), _u8443), hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool, _u8443), c_HOL_OEx(_u8443))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool))), tc_fun(tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), _u8443), c_COMBS(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u8443, tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool))), _u8443), hAPP(c_COMBB(tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool)), _u8443), c_COMBS(_u8443, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool)), tc_fun(_u8443, tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u8443), hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8443), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8443), c_fconj))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_fun(_u8443, _u8443)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8443, _u8443), tc_fun(_u8443, tc_HOL_Obool)), tc_fun(tc_fun(_u8443, tc_fun(_u8443, _u8443)), tc_fun(_u8443, tc_fun(_u8443, tc_HOL_Obool))), _u8443), c_COMBB(tc_fun(_u8443, _u8443), tc_fun(_u8443, tc_HOL_Obool), _u8443)), hAPP(hAPP(c_COMBB(tc_fun(_u8443, tc_HOL_Obool), tc_fun(tc_fun(_u8443, _u8443), tc_fun(_u8443, tc_HOL_Obool)), _u8443), c_COMBB(_u8443, tc_HOL_Obool, _u8443)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u8443)))))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u8443, tc_HOL_Obool), tc_fun(_u8443, tc_HOL_Obool)), _u8443), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8443)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8443), c_fconj), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8443)), _u8444)))), hAPP(hAPP(c_COMBC(_u8443, tc_fun(_u8443, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8443)), _u8445)))))))) )).
% 12.29/12.53 cnf(matrix-3989, plain, ( ~class_Lattices_Odistrib__lattice(_u8446) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8446), _u8447)) | ( _u8447 = c_Orderings_Obot__class_Obot(tc_fun(_u8446, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8446), _u8448), c_Big__Operators_Olattice__class_OInf__fin(_u8446, _u8447)) = c_Big__Operators_Olattice__class_OInf__fin(_u8446, hAPP(c_Set_OCollect(_u8446), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_HOL_Obool, _u8446), c_HOL_OEx(_u8446)), hAPP(hAPP(c_COMBC(_u8446, tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_HOL_Obool)), _u8446), c_COMBS(_u8446, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_fun(_u8446, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8446), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8446), c_fconj)), hAPP(hAPP(c_COMBC(_u8446, tc_fun(_u8446, _u8446), tc_fun(_u8446, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8446, tc_HOL_Obool), tc_fun(tc_fun(_u8446, _u8446), tc_fun(_u8446, tc_HOL_Obool)), _u8446), c_COMBB(_u8446, tc_HOL_Obool, _u8446)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8446), _u8448))))), hAPP(hAPP(c_COMBC(_u8446, tc_fun(_u8446, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8446)), _u8447)))))) )).
% 12.29/12.53 cnf(matrix-3990, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8449), hAPP(c_Set_OCollect(_u8449), _u8450))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8451), hAPP(c_Set_OCollect(_u8451), hAPP(hAPP(c_COMBB(tc_fun(_u8449, tc_HOL_Obool), tc_HOL_Obool, _u8451), c_HOL_OEx(_u8449)), hAPP(hAPP(c_COMBC(_u8451, tc_fun(_u8449, tc_HOL_Obool), tc_fun(_u8449, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8449, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8449, tc_HOL_Obool), tc_fun(_u8449, tc_HOL_Obool)), _u8451), c_COMBS(_u8449, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8449, tc_HOL_Obool), tc_fun(_u8449, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8451), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8449), c_fconj)), hAPP(hAPP(c_COMBC(_u8451, tc_fun(_u8449, _u8451), tc_fun(_u8449, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8451, tc_HOL_Obool), tc_fun(tc_fun(_u8449, _u8451), tc_fun(_u8449, tc_HOL_Obool)), _u8451), c_COMBB(_u8451, tc_HOL_Obool, _u8449)), c_fequal)), _u8452)))), _u8450))))) )).
% 12.29/12.53 cnf(matrix-3991, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8455), hAPP(c_Set_OCollect(_u8455), _u8456))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool, _u8457), c_HOL_OEx(_u8455)), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_fun(_u8455, tc_HOL_Obool), _u8457), hAPP(c_COMBS(_u8455, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8455), c_fconj), _u8456))), _u8458))))) | ~hBOOL(hAPP(_u8456, _u8453)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBC(_u8457, _u8455, tc_HOL_Obool), _u8458), _u8453)))) )).
% 12.29/12.53 cnf(matrix-3992, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8455), hAPP(c_Set_OCollect(_u8455), _u8456))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool, _u8457), c_HOL_OEx(_u8455)), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_fun(_u8455, tc_HOL_Obool), _u8457), hAPP(c_COMBS(_u8455, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8455), c_fconj), _u8456))), _u8458))))) | hBOOL(hAPP(_u8456, skolem223(_u8458, _u8457, _u8456, _u8455))) )).
% 12.29/12.53 cnf(matrix-3993, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8455), hAPP(c_Set_OCollect(_u8455), _u8456))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_HOL_Obool, _u8457), c_HOL_OEx(_u8455)), hAPP(hAPP(c_COMBB(tc_fun(_u8455, tc_HOL_Obool), tc_fun(_u8455, tc_HOL_Obool), _u8457), hAPP(c_COMBS(_u8455, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8455), c_fconj), _u8456))), _u8458))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8457), hAPP(c_Set_OCollect(_u8457), hAPP(hAPP(c_COMBC(_u8457, _u8455, tc_HOL_Obool), _u8458), skolem223(_u8458, _u8457, _u8456, _u8455))))) )).
% 12.29/12.53 cnf(matrix-3994, plain, ( ( hAPP(c_Set_OPow(_u8459), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8459, tc_HOL_Obool)), _u8460)) = hAPP(c_Set_OCollect(tc_fun(_u8459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8459, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u8459, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8459, tc_HOL_Obool)), c_COMBS(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u8459, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u8459, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u8459, tc_HOL_Obool), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(_u8459, tc_HOL_Obool)), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_fun(_u8459, tc_HOL_Obool)), tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8459, tc_HOL_Obool)), c_COMBB(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8459, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u8459, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8459, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8459, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u8459, tc_HOL_Obool)), _u8460)), c_Set_OPow(_u8459)))))) )).
% 12.29/12.53 cnf(matrix-3995, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u8461) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8461), _u8462)) | ( _u8462 = c_Orderings_Obot__class_Obot(tc_fun(_u8461, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8461), _u8463), c_Big__Operators_Olinorder__class_OMin(_u8461, _u8462)) = c_Big__Operators_Olinorder__class_OMin(_u8461, hAPP(c_Set_OCollect(_u8461), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_HOL_Obool), tc_HOL_Obool, _u8461), c_HOL_OEx(_u8461)), hAPP(hAPP(c_COMBC(_u8461, tc_fun(_u8461, tc_HOL_Obool), tc_fun(_u8461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8461, tc_HOL_Obool), tc_fun(_u8461, tc_HOL_Obool)), _u8461), c_COMBS(_u8461, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_HOL_Obool), tc_fun(_u8461, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8461), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8461), c_fconj)), hAPP(hAPP(c_COMBC(_u8461, tc_fun(_u8461, _u8461), tc_fun(_u8461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8461, tc_HOL_Obool), tc_fun(tc_fun(_u8461, _u8461), tc_fun(_u8461, tc_HOL_Obool)), _u8461), c_COMBB(_u8461, tc_HOL_Obool, _u8461)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u8461), _u8463))))), hAPP(hAPP(c_COMBC(_u8461, tc_fun(_u8461, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8461)), _u8462)))))) )).
% 12.29/12.53 cnf(matrix-3996, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u8464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8464), _u8465)) | ( _u8465 = c_Orderings_Obot__class_Obot(tc_fun(_u8464, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8464), _u8466), c_Big__Operators_Olinorder__class_OMax(_u8464, _u8465)) = c_Big__Operators_Olinorder__class_OMax(_u8464, hAPP(c_Set_OCollect(_u8464), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_HOL_Obool), tc_HOL_Obool, _u8464), c_HOL_OEx(_u8464)), hAPP(hAPP(c_COMBC(_u8464, tc_fun(_u8464, tc_HOL_Obool), tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u8464, tc_HOL_Obool), tc_fun(_u8464, tc_HOL_Obool)), _u8464), c_COMBS(_u8464, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_HOL_Obool), tc_fun(_u8464, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u8464), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8464), c_fconj)), hAPP(hAPP(c_COMBC(_u8464, tc_fun(_u8464, _u8464), tc_fun(_u8464, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8464, tc_HOL_Obool), tc_fun(tc_fun(_u8464, _u8464), tc_fun(_u8464, tc_HOL_Obool)), _u8464), c_COMBB(_u8464, tc_HOL_Obool, _u8464)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u8464), _u8466))))), hAPP(hAPP(c_COMBC(_u8464, tc_fun(_u8464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8464)), _u8465)))))) )).
% 12.29/12.53 cnf(matrix-3997, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8473), _u8475)) | ( _u8475 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u8473, skolem225(_u8475, _u8473)), 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)), skolem224(_u8475, _u8473))))) )).
% 12.29/12.53 cnf(matrix-3998, plain, ( ( _u8476 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u8474, _u8469), 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)), _u8470)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8474), _u8476)) )).
% 12.29/12.53 cnf(matrix-3999, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8478), _u8479)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8480), hAPP(c_Set_Oimage(_u8478, _u8480, _u8481), _u8479))) | hBOOL(hAPP(hAPP(c_member(_u8478), skolem226(_u8481, _u8480, _u8479, _u8478)), _u8479)) )).
% 12.29/12.53 cnf(matrix-4000, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u8478), _u8479)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8480), hAPP(c_Set_Oimage(_u8478, _u8480, _u8481), _u8479))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8478), hAPP(c_Set_OCollect(_u8478), hAPP(hAPP(c_COMBS(_u8478, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8478), c_fconj), hAPP(hAPP(c_COMBC(_u8478, tc_fun(_u8478, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8478)), _u8479))), hAPP(hAPP(c_COMBC(_u8478, _u8480, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u8480, tc_fun(_u8480, tc_HOL_Obool), _u8478), c_fequal), _u8481)), hAPP(_u8481, skolem226(_u8481, _u8480, _u8479, _u8478))))))) )).
% 12.29/12.53 cnf(matrix-4001, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8484)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8486)), hAPP(c_Int_Onat, _u8484)) = hAPP(c_Int_Onat, _u8486)) )).
% 12.29/12.53 cnf(matrix-4002, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8485)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u8487)), hAPP(c_Int_Onat, _u8485)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8487), _u8485)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.29/12.53 cnf(matrix-4003, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4004, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8488))) )).
% 12.29/12.53 cnf(matrix-4005, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4006, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8489) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8489), _u8490)) | ( _u8490 = c_Orderings_Obot__class_Obot(tc_fun(_u8489, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8489), c_Big__Operators_Olinorder__class_OMin(_u8489, _u8490)) = c_Big__Operators_Olinorder__class_OMax(_u8489, hAPP(c_Set_Oimage(_u8489, _u8489, c_Groups_Ouminus__class_Ouminus(_u8489)), _u8490))) )).
% 12.29/12.53 cnf(matrix-4007, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8491) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8491), _u8492)) | ( _u8492 = c_Orderings_Obot__class_Obot(tc_fun(_u8491, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8491), c_Big__Operators_Olinorder__class_OMax(_u8491, _u8492)) = c_Big__Operators_Olinorder__class_OMin(_u8491, hAPP(c_Set_Oimage(_u8491, _u8491, c_Groups_Ouminus__class_Ouminus(_u8491)), _u8492))) )).
% 12.29/12.53 cnf(matrix-4008, plain, ( ~class_Orderings_Olinorder(_u8493) | ( c_Big__Operators_Olinorder__class_OMin(_u8493, hAPP(hAPP(c_Set_Oinsert(_u8493), _u8494), c_Orderings_Obot__class_Obot(tc_fun(_u8493, tc_HOL_Obool)))) = _u8494) )).
% 12.29/12.53 cnf(matrix-4009, plain, ( ~class_Orderings_Olinorder(_u8495) | ( c_Big__Operators_Olinorder__class_OMax(_u8495, hAPP(hAPP(c_Set_Oinsert(_u8495), _u8496), c_Orderings_Obot__class_Obot(tc_fun(_u8495, tc_HOL_Obool)))) = _u8496) )).
% 12.29/12.53 cnf(matrix-4010, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8498)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8498)) )).
% 12.29/12.53 cnf(matrix-4011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8499)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8499)) )).
% 12.29/12.53 cnf(matrix-4012, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8501), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8502), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8502)) )).
% 12.29/12.53 cnf(matrix-4014, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8503)) | ( hAPP(c_Int_Onat, _u8503) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4015, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u8504)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u8504)) = _u8504) )).
% 12.29/12.53 cnf(matrix-4016, plain, ( ~class_Orderings_Olinorder(_u8505) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8505), _u8506)) | ~hBOOL(hAPP(hAPP(c_member(_u8505), _u8507), _u8506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8505), _u8507), c_Big__Operators_Olinorder__class_OMax(_u8505, _u8506))) )).
% 12.29/12.53 cnf(matrix-4017, plain, ( ~class_Orderings_Olinorder(_u8508) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8508), _u8509)) | ~hBOOL(hAPP(hAPP(c_member(_u8508), _u8510), _u8509)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8508), c_Big__Operators_Olinorder__class_OMin(_u8508, _u8509)), _u8510)) )).
% 12.29/12.53 cnf(matrix-4018, plain, ( ~class_Orderings_Olinorder(_u8511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8511), _u8512)) | ( _u8512 = c_Orderings_Obot__class_Obot(tc_fun(_u8511, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8511), c_Big__Operators_Olinorder__class_OMin(_u8511, _u8512)), _u8512)) )).
% 12.29/12.53 cnf(matrix-4019, plain, ( ~class_Orderings_Olinorder(_u8513) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8513), _u8514)) | ( _u8514 = c_Orderings_Obot__class_Obot(tc_fun(_u8513, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8513), c_Big__Operators_Olinorder__class_OMax(_u8513, _u8514)), _u8514)) )).
% 12.29/12.53 cnf(matrix-4020, 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, _u8515))))) )).
% 12.29/12.53 cnf(matrix-4021, plain, ( ~class_Orderings_Olinorder(_u8516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8516, tc_HOL_Obool)), _u8517), _u8518)) | ( _u8517 = c_Orderings_Obot__class_Obot(tc_fun(_u8516, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8516), c_Big__Operators_Olinorder__class_OMax(_u8516, _u8517)), c_Big__Operators_Olinorder__class_OMax(_u8516, _u8518))) )).
% 12.29/12.53 cnf(matrix-4022, plain, ( ~class_Orderings_Olinorder(_u8519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8519, tc_HOL_Obool)), _u8520), _u8521)) | ( _u8520 = c_Orderings_Obot__class_Obot(tc_fun(_u8519, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8519), _u8521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8519), c_Big__Operators_Olinorder__class_OMin(_u8519, _u8521)), c_Big__Operators_Olinorder__class_OMin(_u8519, _u8520))) )).
% 12.29/12.53 cnf(matrix-4023, plain, ( ~class_Orderings_Olinorder(_u8522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8522), _u8523)) | ~hBOOL(hAPP(hAPP(c_member(_u8522), _u8524), _u8523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8522, tc_HOL_Obool)), _u8523), hAPP(hAPP(c_Set_Oinsert(_u8522), _u8524), c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8522, _u8523) = _u8524) )).
% 12.29/12.53 cnf(matrix-4024, plain, ( ~class_Orderings_Olinorder(_u8522) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8522), _u8523)) | ~hBOOL(hAPP(hAPP(c_member(_u8522), _u8524), _u8523)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8522, tc_HOL_Obool)), _u8523), hAPP(hAPP(c_Set_Oinsert(_u8522), _u8524), c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u8522, _u8523) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8522), _u8524), c_Big__Operators_Olinorder__class_OMin(_u8522, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8522, tc_HOL_Obool)), _u8523), hAPP(hAPP(c_Set_Oinsert(_u8522), _u8524), c_Orderings_Obot__class_Obot(tc_fun(_u8522, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4025, plain, ( ~class_Orderings_Olinorder(_u8525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8525), _u8526)) | ~hBOOL(hAPP(hAPP(c_member(_u8525), _u8527), _u8526)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8525, tc_HOL_Obool)), _u8526), hAPP(hAPP(c_Set_Oinsert(_u8525), _u8527), c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8525, _u8526) = _u8527) )).
% 12.29/12.53 cnf(matrix-4026, plain, ( ~class_Orderings_Olinorder(_u8525) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8525), _u8526)) | ~hBOOL(hAPP(hAPP(c_member(_u8525), _u8527), _u8526)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8525, tc_HOL_Obool)), _u8526), hAPP(hAPP(c_Set_Oinsert(_u8525), _u8527), c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8525, _u8526) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8525), _u8527), c_Big__Operators_Olinorder__class_OMax(_u8525, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8525, tc_HOL_Obool)), _u8526), hAPP(hAPP(c_Set_Oinsert(_u8525), _u8527), c_Orderings_Obot__class_Obot(tc_fun(_u8525, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4027, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8529, tc_Nat_Onat), _u8530), _u8531) != hAPP(c_Nat_OSuc, _u8532)) | hBOOL(hAPP(hAPP(c_member(_u8529), skolem227(_u8532, _u8531, _u8530, _u8529)), _u8531)) )).
% 12.29/12.53 cnf(matrix-4028, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8529, tc_Nat_Onat), _u8530), _u8531) != hAPP(c_Nat_OSuc, _u8532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8530, skolem227(_u8532, _u8531, _u8530, _u8529)))) )).
% 12.29/12.53 cnf(matrix-4029, plain, ( ~c_Fun_Oinj__on(_u8534, _u8535, _u8536, _u8537) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8535, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8534, _u8535, _u8536), _u8537)), _u8538)) | ~c_Fun_Oinj__on(_u8535, _u8534, _u8539, _u8538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8534, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8535, _u8534, _u8539), _u8538)), _u8537)) | c_Fun_Obij__betw(_u8534, _u8535, skolem228(_u8539, _u8538, _u8537, _u8536, _u8535, _u8534), _u8537, _u8538) )).
% 12.29/12.53 cnf(matrix-4030, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8540) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8541), _u8542)) | ~hBOOL(hAPP(hAPP(c_member(_u8541), _u8543), _u8542)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8541, _u8540), _u8544), _u8542) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8540), hAPP(_u8544, _u8543)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8541, _u8540), _u8544), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8541, tc_HOL_Obool)), _u8542), hAPP(hAPP(c_Set_Oinsert(_u8541), _u8543), c_Orderings_Obot__class_Obot(tc_fun(_u8541, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4031, plain, ( ~class_Orderings_Olinorder(_u8545) | ~class_Orderings_Olinorder(_u8546) | ~c_Orderings_Oorder__class_Omono(_u8546, _u8545, _u8547) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8545), hAPP(_u8547, _u8548)), hAPP(_u8547, _u8549)) = hAPP(_u8547, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8546), _u8548), _u8549))) )).
% 12.29/12.53 cnf(matrix-4032, plain, ( ~class_Orderings_Olinorder(_u8550) | ~class_Orderings_Olinorder(_u8551) | ~c_Orderings_Oorder__class_Omono(_u8551, _u8550, _u8552) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8550), hAPP(_u8552, _u8553)), hAPP(_u8552, _u8554)) = hAPP(_u8552, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8551), _u8553), _u8554))) )).
% 12.29/12.53 cnf(matrix-4033, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8555) | ~class_Rings_Oring__1(_u8555) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u8555), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8556, tc_Int_Oint), _u8557), _u8558)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8556, _u8555), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8555, _u8556), c_Int_Oring__1__class_Oof__int(_u8555)), _u8557)), _u8558)) )).
% 12.29/12.53 cnf(matrix-4034, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8559, tc_Nat_Onat), _u8560), _u8561) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8559, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8559), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8560)), _u8561))) )).
% 12.29/12.53 cnf(matrix-4035, plain, ( ~class_Orderings_Olinorder(_u8562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8564), _u8565))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8565)) )).
% 12.29/12.53 cnf(matrix-4036, plain, ( ~class_Orderings_Olinorder(_u8562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8564), _u8565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8564)) )).
% 12.29/12.53 cnf(matrix-4037, plain, ( ~class_Orderings_Olinorder(_u8562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8564), _u8565))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8565)) )).
% 12.29/12.53 cnf(matrix-4038, plain, ( ~class_Orderings_Olinorder(_u8566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8566), _u8567), _u8568)), _u8569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), _u8567), _u8569)) )).
% 12.29/12.53 cnf(matrix-4039, plain, ( ~class_Orderings_Olinorder(_u8566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8566), _u8567), _u8568)), _u8569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8566), _u8568), _u8569)) )).
% 12.29/12.53 cnf(matrix-4040, plain, ( ~class_Orderings_Olinorder(_u8570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8570), _u8571), _u8572)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8570), _u8573), _u8574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8570), _u8571), _u8573)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8570), _u8572), _u8574))) )).
% 12.29/12.53 cnf(matrix-4041, plain, ( ~class_Orderings_Olinorder(_u8575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8575), _u8576), _u8577)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8575), _u8578), _u8577)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8575), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8575), _u8576), _u8578)), _u8577)) )).
% 12.29/12.53 cnf(matrix-4042, plain, ( ~class_Orderings_Olinorder(_u8579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), _u8580), _u8581)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), _u8582), _u8581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8579), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8579), _u8580), _u8582)), _u8581)) )).
% 12.29/12.53 cnf(matrix-4043, plain, ( ~class_Orderings_Olinorder(_u8583) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8583), _u8584), _u8585)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8583), _u8585), _u8584) = _u8585) )).
% 12.29/12.53 cnf(matrix-4044, plain, ( ~class_Orderings_Olinorder(_u8586) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8586), _u8587), _u8588)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8586), _u8587), _u8588) = _u8588) )).
% 12.29/12.53 cnf(matrix-4045, plain, ( ~class_Orderings_Olinorder(_u8589) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8589), _u8590), _u8591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8589), _u8590), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8592), _u8591))) )).
% 12.29/12.53 cnf(matrix-4046, plain, ( ~class_Orderings_Olinorder(_u8593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8593), _u8594), _u8595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8593), _u8594), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8595), _u8596))) )).
% 12.29/12.53 cnf(matrix-4047, plain, ( ~class_Orderings_Olinorder(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8599)), _u8600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8598), _u8600)) )).
% 12.29/12.53 cnf(matrix-4048, plain, ( ~class_Orderings_Olinorder(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8599)), _u8600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8599), _u8600)) )).
% 12.29/12.53 cnf(matrix-4049, plain, ( ~class_Orderings_Olinorder(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8598), _u8600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), _u8599), _u8600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8599)), _u8600)) )).
% 12.29/12.53 cnf(matrix-4050, plain, ( ~class_Orderings_Olinorder(_u8601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8601), _u8602), _u8603)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), _u8603) = _u8603) )).
% 12.29/12.53 cnf(matrix-4051, plain, ( ~class_Orderings_Olinorder(_u8601) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), _u8603) != _u8603) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8601), _u8602), _u8603)) )).
% 12.29/12.53 cnf(matrix-4052, plain, ( ~class_Orderings_Olinorder(_u8604) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8604), _u8605), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8604), _u8606), _u8605))) )).
% 12.29/12.53 cnf(matrix-4053, plain, ( ~class_Orderings_Olinorder(_u8607) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8607), _u8608), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8607), _u8608), _u8609))) )).
% 12.29/12.53 cnf(matrix-4054, plain, ( ~class_Orderings_Olinorder(_u8610) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8610), _u8611), _u8612)), _u8613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8611), _u8613)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8612), _u8613)) )).
% 12.29/12.53 cnf(matrix-4055, plain, ( ~class_Orderings_Olinorder(_u8610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8610), _u8611), _u8612)), _u8613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8611), _u8613)) )).
% 12.29/12.53 cnf(matrix-4056, plain, ( ~class_Orderings_Olinorder(_u8610) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8610), _u8611), _u8612)), _u8613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8610), _u8612), _u8613)) )).
% 12.29/12.53 cnf(matrix-4057, plain, ( ~class_Orderings_Olinorder(_u8614) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8614), _u8616), _u8617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), _u8616)) )).
% 12.29/12.53 cnf(matrix-4058, plain, ( ~class_Orderings_Olinorder(_u8614) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8614), _u8616), _u8617))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8614), _u8615), _u8617)) )).
% 12.29/12.53 cnf(matrix-4059, plain, ( ~class_Orderings_Olinorder(_u8618) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8618), _u8619), _u8620)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8618), _u8621), _u8622)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8618), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8618), _u8619), _u8621)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8618), _u8620), _u8622))) )).
% 12.29/12.53 cnf(matrix-4060, plain, ( ~class_Orderings_Olinorder(_u8623) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8625)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), _u8626)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8623), _u8624), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8623), _u8625), _u8626))) )).
% 12.29/12.53 cnf(matrix-4061, plain, ( ~class_Orderings_Olinorder(_u8627) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8627), _u8628), _u8629)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8627), _u8628), _u8630)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8627), _u8628), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8627), _u8629), _u8630))) )).
% 12.29/12.53 cnf(matrix-4062, plain, ( ~class_Orderings_Olinorder(_u8631) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8631), _u8632), _u8633)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8631), _u8633), _u8632) = _u8632) )).
% 12.29/12.53 cnf(matrix-4063, plain, ( ~class_Orderings_Olinorder(_u8634) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), _u8635), _u8636)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8634), _u8635), _u8636) = _u8635) )).
% 12.29/12.53 cnf(matrix-4064, plain, ( ~class_Orderings_Olinorder(_u8637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8637), _u8638), _u8639)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8637), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), _u8640), _u8638)), _u8639)) )).
% 12.29/12.53 cnf(matrix-4065, plain, ( ~class_Orderings_Olinorder(_u8641) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8641), _u8642), _u8643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8641), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8641), _u8642), _u8644)), _u8643)) )).
% 12.29/12.53 cnf(matrix-4066, plain, ( ~class_Orderings_Olinorder(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8645), _u8647), _u8648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8647)) )).
% 12.29/12.53 cnf(matrix-4067, plain, ( ~class_Orderings_Olinorder(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8645), _u8647), _u8648))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8648)) )).
% 12.29/12.53 cnf(matrix-4068, plain, ( ~class_Orderings_Olinorder(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), _u8648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8645), _u8646), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8645), _u8647), _u8648))) )).
% 12.29/12.53 cnf(matrix-4069, plain, ( ~class_Orderings_Olinorder(_u8649) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8649), _u8650), _u8651)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8649), _u8650), _u8651) = _u8650) )).
% 12.29/12.53 cnf(matrix-4070, plain, ( ~class_Orderings_Olinorder(_u8649) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8649), _u8650), _u8651) != _u8650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8649), _u8650), _u8651)) )).
% 12.29/12.53 cnf(matrix-4071, plain, ( ~class_Orderings_Olinorder(_u8652) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8652), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8652), _u8653), _u8654)), _u8654)) )).
% 12.29/12.53 cnf(matrix-4072, plain, ( ~class_Orderings_Olinorder(_u8655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8655), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8655), _u8656), _u8657)), _u8656)) )).
% 12.29/12.53 cnf(matrix-4073, plain, ( ~class_Orderings_Olinorder(_u8658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8658), _u8659), _u8660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8658), _u8659), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8658), _u8661), _u8660))) )).
% 12.29/12.53 cnf(matrix-4074, plain, ( ~class_Orderings_Olinorder(_u8662) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8662), _u8663), _u8664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8662), _u8663), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8662), _u8664), _u8665))) )).
% 12.29/12.53 cnf(matrix-4075, plain, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8667), _u8668)), _u8669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8667), _u8669)) )).
% 12.29/12.53 cnf(matrix-4076, plain, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8667), _u8668)), _u8669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8668), _u8669)) )).
% 12.29/12.53 cnf(matrix-4077, plain, ( ~class_Orderings_Olinorder(_u8666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8667), _u8669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), _u8668), _u8669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8666), _u8667), _u8668)), _u8669)) )).
% 12.29/12.53 cnf(matrix-4078, plain, ( ~class_Orderings_Olinorder(_u8670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8670), _u8672), _u8673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8673)) )).
% 12.29/12.53 cnf(matrix-4079, plain, ( ~class_Orderings_Olinorder(_u8670) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8670), _u8672), _u8673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8672)) )).
% 12.29/12.53 cnf(matrix-4080, plain, ( ~class_Orderings_Olinorder(_u8670) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8670), _u8672), _u8673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8670), _u8671), _u8673)) )).
% 12.29/12.53 cnf(matrix-4081, plain, ( ~class_Orderings_Olinorder(_u8674) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8674), _u8675), _u8676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8674), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8674), _u8677), _u8675)), _u8676)) )).
% 12.29/12.53 cnf(matrix-4082, plain, ( ~class_Orderings_Olinorder(_u8678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8678), _u8679), _u8680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8678), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8678), _u8679), _u8681)), _u8680)) )).
% 12.29/12.53 cnf(matrix-4083, plain, ( ~class_Orderings_Olinorder(_u8682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8682), _u8683), _u8684)), _u8685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8683), _u8685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8684), _u8685)) )).
% 12.29/12.53 cnf(matrix-4084, plain, ( ~class_Orderings_Olinorder(_u8682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8682), _u8683), _u8684)), _u8685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8683), _u8685)) )).
% 12.29/12.53 cnf(matrix-4085, plain, ( ~class_Orderings_Olinorder(_u8682) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8682), _u8683), _u8684)), _u8685)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8684), _u8685)) )).
% 12.29/12.53 cnf(matrix-4086, plain, ( ~class_Orderings_Olinorder(_u8686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8686), _u8688), _u8689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8688)) )).
% 12.29/12.53 cnf(matrix-4087, plain, ( ~class_Orderings_Olinorder(_u8686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8686), _u8688), _u8689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8689)) )).
% 12.29/12.53 cnf(matrix-4088, plain, ( ~class_Orderings_Olinorder(_u8686) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), _u8689)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8686), _u8687), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8686), _u8688), _u8689))) )).
% 12.29/12.53 cnf(matrix-4089, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8690) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8690), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8690), _u8691), _u8692)), _u8693) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8690), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8690), _u8691), _u8693)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8690), _u8692), _u8693))) )).
% 12.29/12.53 cnf(matrix-4090, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8694) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8694), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8694), _u8695), _u8696)), _u8697) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8694), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8694), _u8695), _u8697)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8694), _u8696), _u8697))) )).
% 12.29/12.53 cnf(matrix-4091, plain, ( ~class_Groups_Oordered__ab__group__add(_u8698) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8698), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), _u8699), _u8700)), _u8701) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8698), _u8699), _u8701)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8698), _u8700), _u8701))) )).
% 12.29/12.53 cnf(matrix-4092, plain, ( ~class_Groups_Oordered__ab__group__add(_u8702) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8702), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8702), _u8703), _u8704)), _u8705) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8702), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8702), _u8703), _u8705)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8702), _u8704), _u8705))) )).
% 12.29/12.53 cnf(matrix-4093, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8706) = _u8706) )).
% 12.29/12.53 cnf(matrix-4094, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8707), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8707) )).
% 12.29/12.53 cnf(matrix-4095, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8708) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4096, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8709), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4097, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8710)), hAPP(c_Nat_OSuc, _u8711)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8710), _u8711))) )).
% 12.29/12.53 cnf(matrix-4098, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8712)), hAPP(c_Nat_OSuc, _u8713)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8712), _u8713))) )).
% 12.29/12.53 cnf(matrix-4099, plain, ( ~class_Orderings_Olinorder(_u8714) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8714), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8714), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8714), _u8715), _u8716)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8714), _u8715), _u8717))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8714), _u8715), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8714), _u8716), _u8717)))) )).
% 12.29/12.53 cnf(matrix-4100, plain, ( ~class_Orderings_Olinorder(_u8718) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8718), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8718), _u8719), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8718), _u8720), _u8721))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8718), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8718), _u8719), _u8720)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8718), _u8719), _u8721)))) )).
% 12.29/12.53 cnf(matrix-4101, plain, ( ~class_Orderings_Olinorder(_u8722) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8722), _u8723), _u8723) = _u8723) )).
% 12.29/12.53 cnf(matrix-4102, plain, ( ~class_Orderings_Olinorder(_u8724) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8724), _u8725), _u8725) = _u8725) )).
% 12.29/12.53 cnf(matrix-4103, plain, ( ~class_Orderings_Olinorder(_u8726) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8726), _u8727), _u8727) = _u8727) )).
% 12.29/12.53 cnf(matrix-4104, plain, ( ~class_Orderings_Olinorder(_u8728) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8728), _u8729), _u8729) = _u8729) )).
% 12.29/12.53 cnf(matrix-4105, plain, ( ~class_Orderings_Olinorder(_u8730) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), _u8731), _u8732) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8730), _u8732), _u8731)) )).
% 12.29/12.53 cnf(matrix-4106, plain, ( ~class_Orderings_Olinorder(_u8733) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8733), _u8734), _u8735) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8733), _u8735), _u8734)) )).
% 12.29/12.53 cnf(matrix-4107, plain, ( ~class_Orderings_Olinorder(_u8736) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8736), _u8737), _u8738) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8736), _u8738), _u8737)) )).
% 12.29/12.53 cnf(matrix-4108, plain, ( ~class_Orderings_Olinorder(_u8739) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8739), _u8740), _u8741) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8739), _u8741), _u8740)) )).
% 12.29/12.53 cnf(matrix-4109, plain, ( ~class_Orderings_Olinorder(_u8742) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8742), _u8743), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8742), _u8743), _u8744)) = _u8743) )).
% 12.29/12.53 cnf(matrix-4110, plain, ( ~class_Orderings_Olinorder(_u8745) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8745), _u8746), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8745), _u8746), _u8747)) = _u8746) )).
% 12.29/12.53 cnf(matrix-4111, plain, ( ~class_Orderings_Olinorder(_u8748) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8748), _u8749), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8748), _u8749), _u8750)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8748), _u8749), _u8750)) )).
% 12.29/12.53 cnf(matrix-4112, plain, ( ~class_Orderings_Olinorder(_u8751) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8751), _u8752), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8751), _u8752), _u8753)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8751), _u8752), _u8753)) )).
% 12.29/12.53 cnf(matrix-4113, plain, ( ~class_Orderings_Olinorder(_u8754) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8754), _u8755), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8754), _u8755), _u8756)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8754), _u8755), _u8756)) )).
% 12.29/12.53 cnf(matrix-4114, plain, ( ~class_Orderings_Olinorder(_u8757) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8757), _u8758), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8757), _u8758), _u8759)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8757), _u8758), _u8759)) )).
% 12.29/12.53 cnf(matrix-4115, plain, ( ~class_Orderings_Olinorder(_u8760) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8761), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8762), _u8763)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8762), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8760), _u8761), _u8763))) )).
% 12.29/12.53 cnf(matrix-4116, plain, ( ~class_Orderings_Olinorder(_u8764) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8765), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8766), _u8767)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8766), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8764), _u8765), _u8767))) )).
% 12.29/12.53 cnf(matrix-4117, plain, ( ~class_Orderings_Olinorder(_u8768) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8769), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8770), _u8771)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8770), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8768), _u8769), _u8771))) )).
% 12.29/12.53 cnf(matrix-4118, plain, ( ~class_Orderings_Olinorder(_u8772) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8773), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8774), _u8775)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8774), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8772), _u8773), _u8775))) )).
% 12.29/12.53 cnf(matrix-4119, plain, ( ~class_Orderings_Olinorder(_u8776) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8776), _u8777), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8776), _u8778), _u8779)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8776), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8776), _u8777), _u8778)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8776), _u8777), _u8779))) )).
% 12.29/12.53 cnf(matrix-4120, plain, ( ~class_Orderings_Olinorder(_u8780) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8780), _u8781), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8780), _u8782), _u8783)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8780), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8780), _u8781), _u8782)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8780), _u8781), _u8783))) )).
% 12.29/12.53 cnf(matrix-4121, plain, ( ~class_Orderings_Olinorder(_u8784) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), _u8785), _u8786)), _u8787) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), _u8785), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8784), _u8786), _u8787))) )).
% 12.29/12.53 cnf(matrix-4122, plain, ( ~class_Orderings_Olinorder(_u8788) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), _u8789), _u8790)), _u8791) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), _u8789), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8788), _u8790), _u8791))) )).
% 12.29/12.53 cnf(matrix-4123, plain, ( ~class_Orderings_Olinorder(_u8792) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), _u8793), _u8794)), _u8795) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), _u8793), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8792), _u8794), _u8795))) )).
% 12.29/12.53 cnf(matrix-4124, plain, ( ~class_Orderings_Olinorder(_u8796) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), _u8797), _u8798)), _u8799) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), _u8797), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8796), _u8798), _u8799))) )).
% 12.29/12.53 cnf(matrix-4125, plain, ( ~class_Orderings_Olinorder(_u8800) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8800), _u8801), _u8802)), _u8803) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8800), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), _u8801), _u8803)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), _u8802), _u8803))) )).
% 12.29/12.53 cnf(matrix-4126, plain, ( ~class_Orderings_Olinorder(_u8804) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8804), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8804), _u8805), _u8806)), _u8807) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8804), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8804), _u8805), _u8807)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8804), _u8806), _u8807))) )).
% 12.29/12.53 cnf(matrix-4127, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8808) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8808), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8808), _u8809), _u8810)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8808), hAPP(c_Groups_Ouminus__class_Ouminus(_u8808), _u8809)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8808), _u8810))) )).
% 12.29/12.53 cnf(matrix-4128, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8811) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8811), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8811), _u8812), _u8813)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8811), hAPP(c_Groups_Ouminus__class_Ouminus(_u8811), _u8812)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8811), _u8813))) )).
% 12.29/12.53 cnf(matrix-4129, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8814) | ~class_Rings_Osemiring__1(_u8814) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8814), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8815, tc_Nat_Onat), _u8816), _u8817)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8815, _u8814), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8814, _u8815), c_Nat_Osemiring__1__class_Oof__nat(_u8814)), _u8816)), _u8817)) )).
% 12.29/12.53 cnf(matrix-4130, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8818, tc_Nat_Onat), _u8819), _u8820)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8818, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u8818), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8819)), _u8820)) )).
% 12.29/12.53 cnf(matrix-4131, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8821), _u8822)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8823), _u8822)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u8821), _u8823)), _u8822)) )).
% 12.29/12.53 cnf(matrix-4132, plain, ( ~class_Orderings_Olinorder(_u8824) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8824, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8824, _u8825), _u8826)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8824, _u8827), _u8828)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8824, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8824), _u8825), _u8827)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8824), _u8826), _u8828))) )).
% 12.29/12.53 cnf(matrix-4133, plain, ( ~class_Orderings_Olinorder(_u8829) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8829, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8829, _u8830, _u8831)), c_SetInterval_Oord__class_OatLeastAtMost(_u8829, _u8832, _u8833)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8829, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8829), _u8830), _u8832), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8829), _u8831), _u8833))) )).
% 12.29/12.53 cnf(matrix-4134, plain, ( ~class_Orderings_Olinorder(_u8834) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8834, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8834, _u8835, _u8836)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8834, _u8837, _u8838)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8834, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8834), _u8835), _u8837), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8834), _u8836), _u8838))) )).
% 12.29/12.53 cnf(matrix-4135, plain, ( ~class_Lattices_Osemilattice__inf(_u8839) | ~class_Orderings_Olinorder(_u8839) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u8839) = c_Orderings_Oord__class_Omin(_u8839)) )).
% 12.29/12.53 cnf(matrix-4136, plain, ( ~class_Lattices_Osemilattice__sup(_u8840) | ~class_Orderings_Olinorder(_u8840) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8840) = c_Orderings_Oord__class_Omax(_u8840)) )).
% 12.29/12.53 cnf(matrix-4137, plain, ( ~class_Orderings_Olinorder(_u8841) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8841, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8841, _u8842, _u8843)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8841, _u8844, _u8845)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8841, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8841), _u8842), _u8844), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8841), _u8843), _u8845))) )).
% 12.29/12.53 cnf(matrix-4138, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8846) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8847, _u8846), hAPP(hAPP(c_COMBS(_u8847, _u8846, _u8846), hAPP(hAPP(c_COMBB(_u8846, tc_fun(_u8846, _u8846), _u8847), c_Groups_Otimes__class_Otimes(_u8846)), _u8848)), _u8849)), _u8850) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8846), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8847, _u8846), _u8848), _u8850)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8847, _u8846), _u8849), _u8850))) )).
% 12.29/12.53 cnf(matrix-4139, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8851) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8852, _u8851), hAPP(c_COMBK(_u8851, _u8852), c_Groups_Oone__class_Oone(_u8851))), _u8853) = c_Groups_Oone__class_Oone(_u8851)) )).
% 12.29/12.53 cnf(matrix-4140, plain, ( ~class_Fields_Olinordered__field(_u8854) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8854), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8855, _u8854), _u8856), _u8857)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8855, _u8854), hAPP(hAPP(c_COMBB(_u8854, _u8854, _u8855), c_Groups_Oabs__class_Oabs(_u8854)), _u8856)), _u8857)) )).
% 12.29/12.53 cnf(matrix-4141, plain, ( ~class_Orderings_Olinorder(_u8858) | c_Finite__Set_Ofun__left__comm__idem(_u8858, _u8858, c_Orderings_Oord__class_Omax(_u8858)) )).
% 12.29/12.53 cnf(matrix-4142, plain, ( ~class_Orderings_Olinorder(_u8859) | c_Finite__Set_Ofun__left__comm__idem(_u8859, _u8859, c_Orderings_Oord__class_Omin(_u8859)) )).
% 12.29/12.53 cnf(matrix-4143, plain, ( ~class_Groups_Ocomm__monoid__add(_u8860) | ~class_Groups_Ocomm__monoid__mult(_u8860) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8860), _u8861), _u8862) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8860), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8860, tc_Int_Oint), _u8861), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8862))) )).
% 12.29/12.53 cnf(matrix-4144, plain, ( ~class_Rings_Ocomm__semiring__1(_u8864) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8865), _u8866)) | ~hBOOL(hAPP(hAPP(c_member(_u8865), _u8863), _u8866)) | ( hAPP(_u8867, _u8863) != c_Groups_Ozero__class_Ozero(_u8864)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8865, _u8864), _u8867), _u8866) = c_Groups_Ozero__class_Ozero(_u8864)) )).
% 12.29/12.53 cnf(matrix-4145, plain, ( ~class_Rings_Ocomm__semiring__1(_u8870) | ~class_Rings_Ono__zero__divisors(_u8870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8871, _u8870), _u8873), _u8872) != c_Groups_Ozero__class_Ozero(_u8870)) | hBOOL(hAPP(hAPP(c_member(_u8871), skolem229(_u8873, _u8872, _u8871, _u8870)), _u8872)) )).
% 12.29/12.53 cnf(matrix-4146, plain, ( ~class_Rings_Ocomm__semiring__1(_u8870) | ~class_Rings_Ono__zero__divisors(_u8870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8871, _u8870), _u8873), _u8872) != c_Groups_Ozero__class_Ozero(_u8870)) | ( hAPP(_u8873, skolem229(_u8873, _u8872, _u8871, _u8870)) = c_Groups_Ozero__class_Ozero(_u8870)) )).
% 12.29/12.53 cnf(matrix-4147, plain, ( ~class_Rings_Ocomm__semiring__1(_u8870) | ~class_Rings_Ono__zero__divisors(_u8870) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8871), _u8872)) | ~hBOOL(hAPP(hAPP(c_member(_u8871), _u8869), _u8872)) | ( hAPP(_u8873, _u8869) != c_Groups_Ozero__class_Ozero(_u8870)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8871, _u8870), _u8873), _u8872) = c_Groups_Ozero__class_Ozero(_u8870)) )).
% 12.29/12.53 cnf(matrix-4148, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8875, _u8874), _u8876), c_Orderings_Obot__class_Obot(tc_fun(_u8875, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8874)) )).
% 12.29/12.53 cnf(matrix-4149, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8877) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8878, _u8877), _u8879), c_Orderings_Obot__class_Obot(tc_fun(_u8878, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8877)) )).
% 12.29/12.53 cnf(matrix-4150, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8880) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8881), _u8882)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8881, _u8880), _u8883), _u8882) = c_Groups_Oone__class_Oone(_u8880)) )).
% 12.29/12.53 cnf(matrix-4151, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8884) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8885), _u8886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8885, _u8884), _u8887), _u8886) = c_Groups_Oone__class_Oone(_u8884)) )).
% 12.29/12.53 cnf(matrix-4152, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8890), _u8891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8890, tc_Nat_Onat), _u8892), _u8891) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8890), _u8888), _u8891)) | ( hAPP(_u8892, _u8888) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4153, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8890), _u8891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8890, tc_Nat_Onat), _u8892), _u8891) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8890), skolem230(_u8892, _u8891, _u8890)), _u8891)) )).
% 12.29/12.53 cnf(matrix-4154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8890), _u8891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8890, tc_Nat_Onat), _u8892), _u8891) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8892, skolem230(_u8892, _u8891, _u8890)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4155, plain, ( ~class_Groups_Ocomm__monoid__add(_u8893) | ~class_Groups_Ocomm__monoid__mult(_u8893) | ~c_Nat__Transfer_Onat__set(_u8894) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8893), _u8895), _u8894) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8893), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8893, tc_Nat_Onat), _u8895), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8894))) )).
% 12.29/12.53 cnf(matrix-4156, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8896), _u8897)), _u8897) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8896), _u8897)) )).
% 12.29/12.53 cnf(matrix-4157, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8898) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8899), _u8900)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8899, _u8898), hAPP(hAPP(c_COMBS(_u8899, _u8898, _u8898), hAPP(hAPP(c_COMBB(_u8898, tc_fun(_u8898, _u8898), _u8899), c_Groups_Otimes__class_Otimes(_u8898)), _u8901)), _u8902)), _u8900) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8898), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8899, _u8898), _u8901), _u8900)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8899, _u8898), _u8902), _u8900))) )).
% 12.29/12.53 cnf(matrix-4158, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8905), _u8906)) | ~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(_u8905, tc_Nat_Onat), _u8907), _u8906))) | ~hBOOL(hAPP(hAPP(c_member(_u8905), _u8903), _u8906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8907, _u8903))) )).
% 12.29/12.53 cnf(matrix-4159, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8905), _u8906)) | 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(_u8905, tc_Nat_Onat), _u8907), _u8906))) | hBOOL(hAPP(hAPP(c_member(_u8905), skolem231(_u8907, _u8906, _u8905)), _u8906)) )).
% 12.29/12.53 cnf(matrix-4160, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8905), _u8906)) | 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(_u8905, tc_Nat_Onat), _u8907), _u8906))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8907, skolem231(_u8907, _u8906, _u8905)))) )).
% 12.29/12.53 cnf(matrix-4161, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8908) | ~c_Fun_Oinj__on(_u8909, _u8910, _u8911, _u8912) | ( _u8913 != hAPP(c_Set_Oimage(_u8909, _u8910, _u8911), _u8912)) | ( _u8914 != hAPP(c_Fun_Ocomp(_u8910, _u8908, _u8909, _u8915), _u8911)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8910, _u8908), _u8915), _u8913) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8909, _u8908), _u8914), _u8912)) )).
% 12.29/12.53 cnf(matrix-4162, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8916) | ~c_Fun_Oinj__on(_u8917, _u8918, _u8919, _u8920) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8918, _u8916), _u8921), hAPP(c_Set_Oimage(_u8917, _u8918, _u8919), _u8920)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8917, _u8916), hAPP(c_Fun_Ocomp(_u8918, _u8916, _u8917, _u8921), _u8919)), _u8920)) )).
% 12.29/12.53 cnf(matrix-4163, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8922)), _u8923) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8922), 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), _u8922)), _u8923)) )).
% 12.29/12.53 cnf(matrix-4164, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8924), hAPP(c_Nat_OSuc, _u8925)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8925), 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)), _u8925)), _u8924)) )).
% 12.29/12.53 cnf(matrix-4165, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | ~hBOOL(hAPP(hAPP(c_member(_u8927), _u8929), _u8928)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), hAPP(hAPP(c_COMBC(_u8927, _u8926, _u8926), hAPP(hAPP(c_COMBS(_u8927, _u8926, tc_fun(_u8926, _u8926)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8926, tc_fun(_u8926, _u8926)), _u8927), c_If(_u8926)), hAPP(c_fequal, _u8929))), _u8930)), c_Groups_Oone__class_Oone(_u8926))), _u8928) = hAPP(_u8930, _u8929)) )).
% 12.29/12.53 cnf(matrix-4166, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | hBOOL(hAPP(hAPP(c_member(_u8927), _u8929), _u8928)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), hAPP(hAPP(c_COMBC(_u8927, _u8926, _u8926), hAPP(hAPP(c_COMBS(_u8927, _u8926, tc_fun(_u8926, _u8926)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8926, tc_fun(_u8926, _u8926)), _u8927), c_If(_u8926)), hAPP(c_fequal, _u8929))), _u8930)), c_Groups_Oone__class_Oone(_u8926))), _u8928) = c_Groups_Oone__class_Oone(_u8926)) )).
% 12.29/12.53 cnf(matrix-4167, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8932), _u8933)) | ~hBOOL(hAPP(hAPP(c_member(_u8932), _u8934), _u8933)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8932, _u8931), hAPP(hAPP(c_COMBC(_u8932, _u8931, _u8931), hAPP(hAPP(c_COMBS(_u8932, _u8931, tc_fun(_u8931, _u8931)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8931, tc_fun(_u8931, _u8931)), _u8932), c_If(_u8931)), hAPP(hAPP(c_COMBC(_u8932, _u8932, tc_HOL_Obool), c_fequal), _u8934))), _u8935)), c_Groups_Oone__class_Oone(_u8931))), _u8933) = hAPP(_u8935, _u8934)) )).
% 12.29/12.53 cnf(matrix-4168, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8931) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8932), _u8933)) | hBOOL(hAPP(hAPP(c_member(_u8932), _u8934), _u8933)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8932, _u8931), hAPP(hAPP(c_COMBC(_u8932, _u8931, _u8931), hAPP(hAPP(c_COMBS(_u8932, _u8931, tc_fun(_u8931, _u8931)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8931, tc_fun(_u8931, _u8931)), _u8932), c_If(_u8931)), hAPP(hAPP(c_COMBC(_u8932, _u8932, tc_HOL_Obool), c_fequal), _u8934))), _u8935)), c_Groups_Oone__class_Oone(_u8931))), _u8933) = c_Groups_Oone__class_Oone(_u8931)) )).
% 12.29/12.53 cnf(matrix-4169, plain, ( ~class_Orderings_Olinorder(_u8936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8936), _u8937)) | ~hBOOL(hAPP(hAPP(c_member(_u8936), _u8938), _u8937)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8936), _u8938), c_Big__Operators_Olinorder__class_OMax(_u8936, _u8937)) = c_Big__Operators_Olinorder__class_OMax(_u8936, _u8937)) )).
% 12.29/12.53 cnf(matrix-4170, plain, ( ~class_Orderings_Olinorder(_u8939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8939), _u8940)) | ~hBOOL(hAPP(hAPP(c_member(_u8939), _u8941), _u8940)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8939), _u8941), c_Big__Operators_Olinorder__class_OMin(_u8939, _u8940)) = c_Big__Operators_Olinorder__class_OMin(_u8939, _u8940)) )).
% 12.29/12.53 cnf(matrix-4171, plain, ( ~class_Lattices_Osemilattice__sup(_u8942) | ~class_Orderings_Olinorder(_u8943) | ~c_Orderings_Oorder__class_Omono(_u8943, _u8942, _u8944) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8942), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8942), hAPP(_u8944, _u8945)), hAPP(_u8944, _u8946))), hAPP(_u8944, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8943), _u8945), _u8946)))) )).
% 12.29/12.53 cnf(matrix-4172, plain, ( ~class_Lattices_Osemilattice__inf(_u8947) | ~class_Orderings_Olinorder(_u8948) | ~c_Orderings_Oorder__class_Omono(_u8948, _u8947, _u8949) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8947), hAPP(_u8949, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8948), _u8950), _u8951))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8947), hAPP(_u8949, _u8950)), hAPP(_u8949, _u8951)))) )).
% 12.29/12.53 cnf(matrix-4173, plain, ( ~class_Orderings_Olinorder(_u8952) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8952, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8952), _u8953)), c_SetInterval_Oord__class_OatLeastAtMost(_u8952, _u8954, _u8955)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8952, _u8954, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8952), _u8953), _u8955))) )).
% 12.29/12.53 cnf(matrix-4174, plain, ( ~class_Orderings_Olinorder(_u8956) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8956, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8956, _u8957, _u8958)), hAPP(c_SetInterval_Oord__class_OatMost(_u8956), _u8959)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8956, _u8957, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8956), _u8958), _u8959))) )).
% 12.29/12.53 cnf(matrix-4175, plain, ( ~class_Orderings_Olinorder(_u8960) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8960, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8960), _u8961)), c_SetInterval_Oord__class_OatLeastAtMost(_u8960, _u8962, _u8963)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8960, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8960), _u8961), _u8962), _u8963)) )).
% 12.29/12.53 cnf(matrix-4176, plain, ( ~class_Orderings_Olinorder(_u8964) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8964, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u8964, _u8965, _u8966)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8964), _u8967)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8964, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8964), _u8965), _u8967), _u8966)) )).
% 12.29/12.53 cnf(matrix-4177, plain, ( ~class_Orderings_Olinorder(_u8968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8968), _u8969)) | ( c_Big__Operators_Olinorder__class_OMax(_u8968, _u8969) = hAPP(c_Finite__Set_Ofold1(_u8968, c_Orderings_Oord__class_Omax(_u8968)), _u8969)) )).
% 12.29/12.53 cnf(matrix-4178, plain, ( ~class_Orderings_Olinorder(_u8970) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8970), _u8971)) | ( c_Big__Operators_Olinorder__class_OMin(_u8970, _u8971) = hAPP(c_Finite__Set_Ofold1(_u8970, c_Orderings_Oord__class_Omin(_u8970)), _u8971)) )).
% 12.29/12.53 cnf(matrix-4179, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8972) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8973), _u8974)) | hBOOL(hAPP(hAPP(c_member(_u8973), _u8975), _u8974)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8973, _u8972), _u8976), hAPP(hAPP(c_Set_Oinsert(_u8973), _u8975), _u8974)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8972), hAPP(_u8976, _u8975)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8973, _u8972), _u8976), _u8974))) )).
% 12.29/12.53 cnf(matrix-4180, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8978), _u8979)) | hBOOL(hAPP(hAPP(c_member(_u8978), _u8980), _u8979)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8978, _u8977), _u8981), hAPP(hAPP(c_Set_Oinsert(_u8978), _u8980), _u8979)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8977), hAPP(_u8981, _u8980)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8978, _u8977), _u8981), _u8979))) )).
% 12.29/12.53 cnf(matrix-4181, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8982) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8983), _u8984)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8983), _u8985)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8982), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8983, tc_HOL_Obool)), _u8984), _u8985))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8983, tc_HOL_Obool)), _u8984), _u8985))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8982), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), _u8984)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8983, _u8982), _u8986), _u8985))) )).
% 12.29/12.53 cnf(matrix-4182, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8987) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8988), _u8989)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8988), _u8990)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8987), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8988, tc_HOL_Obool)), _u8989), _u8990))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8988, tc_HOL_Obool)), _u8989), _u8990))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8987), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), _u8989)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8988, _u8987), _u8991), _u8990))) )).
% 12.29/12.53 cnf(matrix-4183, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8992) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8993), _u8994)) | ~c_Fun_Oinj__on(_u8993, _u8993, _u8995, _u8994) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8993, _u8992), _u8996), hAPP(c_Set_Oimage(_u8993, _u8993, _u8995), _u8994)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8993, _u8992), hAPP(c_Fun_Ocomp(_u8993, _u8992, _u8993, _u8996), _u8995)), _u8994)) )).
% 12.29/12.53 cnf(matrix-4184, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8997) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8998), _u8999)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8998, _u8997), _u9000), _u8999) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8997, _u8998, c_Groups_Otimes__class_Otimes(_u8997)), _u9000), c_Groups_Oone__class_Oone(_u8997)), _u8999)) )).
% 12.29/12.53 cnf(matrix-4185, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9001) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9002), _u9003)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9002, _u9001), _u9004), _u9003) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9001, _u9002, c_Groups_Otimes__class_Otimes(_u9001)), _u9004), c_Groups_Oone__class_Oone(_u9001)), _u9003)) )).
% 12.29/12.53 cnf(matrix-4186, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9001) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9002), _u9003)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9002, _u9001), _u9004), _u9003) = c_Groups_Oone__class_Oone(_u9001)) )).
% 12.29/12.53 cnf(matrix-4187, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9005)), _u9006) = 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), _u9005)), _u9006)) )).
% 12.29/12.53 cnf(matrix-4188, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u9007), hAPP(c_Nat_OSuc, _u9008)) = 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)), _u9008)), _u9007)) )).
% 12.29/12.53 cnf(matrix-4189, plain, ( ~class_Orderings_Olinorder(_u9009) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9009), _u9010)) | ~hBOOL(hAPP(hAPP(c_member(_u9009), _u9011), _u9010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9009), hAPP(c_Finite__Set_Ofold1(_u9009, c_Orderings_Oord__class_Omin(_u9009)), _u9010)), _u9011)) )).
% 12.29/12.53 cnf(matrix-4190, plain, ( ~class_Orderings_Olinorder(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9015 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), hAPP(c_Finite__Set_Ofold1(_u9014, c_Orderings_Oord__class_Omin(_u9014)), _u9015)), _u9016)) | hBOOL(hAPP(hAPP(c_member(_u9014), skolem232(_u9016, _u9015, _u9014)), _u9015)) )).
% 12.29/12.53 cnf(matrix-4191, plain, ( ~class_Orderings_Olinorder(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9015 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), hAPP(c_Finite__Set_Ofold1(_u9014, c_Orderings_Oord__class_Omin(_u9014)), _u9015)), _u9016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), skolem232(_u9016, _u9015, _u9014)), _u9016)) )).
% 12.29/12.53 cnf(matrix-4192, plain, ( ~class_Orderings_Olinorder(_u9014) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9014), _u9015)) | ( _u9015 = c_Orderings_Obot__class_Obot(tc_fun(_u9014, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9014), _u9013), _u9015)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), _u9013), _u9016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9014), hAPP(c_Finite__Set_Ofold1(_u9014, c_Orderings_Oord__class_Omin(_u9014)), _u9015)), _u9016)) )).
% 12.29/12.53 cnf(matrix-4193, plain, ( ~class_Orderings_Olinorder(_u9019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9019), _u9020)) | ( _u9020 = c_Orderings_Obot__class_Obot(tc_fun(_u9019, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), hAPP(c_Finite__Set_Ofold1(_u9019, c_Orderings_Oord__class_Omin(_u9019)), _u9020))) | ~hBOOL(hAPP(hAPP(c_member(_u9019), _u9017), _u9020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), _u9017)) )).
% 12.29/12.53 cnf(matrix-4194, plain, ( ~class_Orderings_Olinorder(_u9019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9019), _u9020)) | ( _u9020 = c_Orderings_Obot__class_Obot(tc_fun(_u9019, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), hAPP(c_Finite__Set_Ofold1(_u9019, c_Orderings_Oord__class_Omin(_u9019)), _u9020))) | hBOOL(hAPP(hAPP(c_member(_u9019), skolem233(_u9021, _u9020, _u9019)), _u9020)) )).
% 12.29/12.53 cnf(matrix-4195, plain, ( ~class_Orderings_Olinorder(_u9019) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9019), _u9020)) | ( _u9020 = c_Orderings_Obot__class_Obot(tc_fun(_u9019, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), hAPP(c_Finite__Set_Ofold1(_u9019, c_Orderings_Oord__class_Omin(_u9019)), _u9020))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9019), _u9021), skolem233(_u9021, _u9020, _u9019))) )).
% 12.29/12.53 cnf(matrix-4196, plain, ( ~class_Orderings_Olinorder(_u9024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9024), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), hAPP(c_Finite__Set_Ofold1(_u9024, c_Orderings_Oord__class_Omin(_u9024)), _u9025)), _u9026)) | hBOOL(hAPP(hAPP(c_member(_u9024), skolem234(_u9026, _u9025, _u9024)), _u9025)) )).
% 12.29/12.53 cnf(matrix-4197, plain, ( ~class_Orderings_Olinorder(_u9024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9024), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), hAPP(c_Finite__Set_Ofold1(_u9024, c_Orderings_Oord__class_Omin(_u9024)), _u9025)), _u9026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), skolem234(_u9026, _u9025, _u9024)), _u9026)) )).
% 12.29/12.53 cnf(matrix-4198, plain, ( ~class_Orderings_Olinorder(_u9024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9024), _u9025)) | ( _u9025 = c_Orderings_Obot__class_Obot(tc_fun(_u9024, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9024), _u9023), _u9025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), _u9023), _u9026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9024), hAPP(c_Finite__Set_Ofold1(_u9024, c_Orderings_Oord__class_Omin(_u9024)), _u9025)), _u9026)) )).
% 12.29/12.53 cnf(matrix-4199, plain, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), hAPP(c_Finite__Set_Ofold1(_u9029, c_Orderings_Oord__class_Omin(_u9029)), _u9030))) | ~hBOOL(hAPP(hAPP(c_member(_u9029), _u9027), _u9030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), _u9027)) )).
% 12.29/12.53 cnf(matrix-4200, plain, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), hAPP(c_Finite__Set_Ofold1(_u9029, c_Orderings_Oord__class_Omin(_u9029)), _u9030))) | hBOOL(hAPP(hAPP(c_member(_u9029), skolem235(_u9031, _u9030, _u9029)), _u9030)) )).
% 12.29/12.53 cnf(matrix-4201, plain, ( ~class_Orderings_Olinorder(_u9029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9029), _u9030)) | ( _u9030 = c_Orderings_Obot__class_Obot(tc_fun(_u9029, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), hAPP(c_Finite__Set_Ofold1(_u9029, c_Orderings_Oord__class_Omin(_u9029)), _u9030))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9029), _u9031), skolem235(_u9031, _u9030, _u9029))) )).
% 12.29/12.53 cnf(matrix-4202, plain, ( ~class_Orderings_Olinorder(_u9032) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9032), _u9033)) | ( _u9033 = c_Orderings_Obot__class_Obot(tc_fun(_u9032, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9032, hAPP(hAPP(c_Set_Oinsert(_u9032), _u9034), _u9033)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9032), _u9034), c_Big__Operators_Olinorder__class_OMax(_u9032, _u9033))) )).
% 12.29/12.53 cnf(matrix-4203, plain, ( ~class_Orderings_Olinorder(_u9035) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9035), _u9036)) | ( _u9036 = c_Orderings_Obot__class_Obot(tc_fun(_u9035, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9035, hAPP(hAPP(c_Set_Oinsert(_u9035), _u9037), _u9036)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9035), _u9037), c_Big__Operators_Olinorder__class_OMin(_u9035, _u9036))) )).
% 12.29/12.53 cnf(matrix-4204, plain, ( ~class_Orderings_Olinorder(_u9038) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9038), _u9039)) | ( _u9040 = c_Orderings_Obot__class_Obot(tc_fun(_u9038, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9038, tc_HOL_Obool)), _u9040), _u9039)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9038), c_Big__Operators_Olinorder__class_OMax(_u9038, _u9040)), c_Big__Operators_Olinorder__class_OMax(_u9038, _u9039)) = c_Big__Operators_Olinorder__class_OMax(_u9038, _u9039)) )).
% 12.29/12.53 cnf(matrix-4205, plain, ( ~class_Orderings_Olinorder(_u9041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9041), _u9042)) | ( _u9043 = c_Orderings_Obot__class_Obot(tc_fun(_u9041, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9041, tc_HOL_Obool)), _u9043), _u9042)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9041), c_Big__Operators_Olinorder__class_OMin(_u9041, _u9043)), c_Big__Operators_Olinorder__class_OMin(_u9041, _u9042)) = c_Big__Operators_Olinorder__class_OMin(_u9041, _u9042)) )).
% 12.29/12.53 cnf(matrix-4206, plain, ( ~class_Orderings_Olinorder(_u9044) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9045)) | ( _u9045 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9044), _u9046)) | ( _u9046 = c_Orderings_Obot__class_Obot(tc_fun(_u9044, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9044, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9044, tc_HOL_Obool)), _u9045), _u9046)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9044), c_Big__Operators_Olinorder__class_OMax(_u9044, _u9045)), c_Big__Operators_Olinorder__class_OMax(_u9044, _u9046))) )).
% 12.29/12.53 cnf(matrix-4207, plain, ( ~class_Orderings_Olinorder(_u9047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9048)) | ( _u9048 = c_Orderings_Obot__class_Obot(tc_fun(_u9047, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9047), _u9049)) | ( _u9049 = c_Orderings_Obot__class_Obot(tc_fun(_u9047, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9047, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9047, tc_HOL_Obool)), _u9048), _u9049)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9047), c_Big__Operators_Olinorder__class_OMin(_u9047, _u9048)), c_Big__Operators_Olinorder__class_OMin(_u9047, _u9049))) )).
% 12.29/12.53 cnf(matrix-4208, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9050) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9051), _u9052)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9051, _u9050), _u9053), hAPP(hAPP(c_Set_Oinsert(_u9051), _u9054), _u9052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9050), hAPP(_u9053, _u9054)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9051, _u9050), _u9053), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9051, tc_HOL_Obool)), _u9052), hAPP(hAPP(c_Set_Oinsert(_u9051), _u9054), c_Orderings_Obot__class_Obot(tc_fun(_u9051, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4209, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9056), _u9058)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058) != c_Orderings_Obot__class_Obot(tc_fun(_u9056, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9056, _u9055), _u9059), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9056, tc_HOL_Obool)), _u9057), _u9058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9055), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9056, _u9055), _u9059), _u9057)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9056, _u9055), _u9059), _u9058))) )).
% 12.29/12.53 cnf(matrix-4210, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9060) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9061), _u9062)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9061), _u9063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063) != c_Orderings_Obot__class_Obot(tc_fun(_u9061, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9061, _u9060), _u9064), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9061, tc_HOL_Obool)), _u9062), _u9063)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9060), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9061, _u9060), _u9064), _u9062)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9061, _u9060), _u9064), _u9063))) )).
% 12.29/12.53 cnf(matrix-4211, plain, ( ~class_Orderings_Olinorder(_u9065) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9065), _u9066)) | hBOOL(hAPP(hAPP(c_member(_u9065), _u9067), _u9066)) | ( _u9066 = c_Orderings_Obot__class_Obot(tc_fun(_u9065, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9065, hAPP(hAPP(c_Set_Oinsert(_u9065), _u9067), _u9066)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9065), _u9067), c_Big__Operators_Olinorder__class_OMax(_u9065, _u9066))) )).
% 12.29/12.53 cnf(matrix-4212, plain, ( ~class_Orderings_Olinorder(_u9068) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9068), _u9069)) | hBOOL(hAPP(hAPP(c_member(_u9068), _u9070), _u9069)) | ( _u9069 = c_Orderings_Obot__class_Obot(tc_fun(_u9068, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9068, hAPP(hAPP(c_Set_Oinsert(_u9068), _u9070), _u9069)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9068), _u9070), c_Big__Operators_Olinorder__class_OMin(_u9068, _u9069))) )).
% 12.29/12.53 cnf(matrix-4213, plain, ( ~class_Orderings_Olinorder(_u9071) | ( _u9072 = c_Orderings_Obot__class_Obot(tc_fun(_u9071, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9073)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9073)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9071), hAPP(c_Finite__Set_Ofold1(_u9071, c_Orderings_Oord__class_Omin(_u9071)), _u9073)), hAPP(c_Finite__Set_Ofold1(_u9071, c_Orderings_Oord__class_Omin(_u9071)), _u9072))) )).
% 12.29/12.53 cnf(matrix-4214, plain, ( ~class_Orderings_Olinorder(_u9074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9074), _u9075)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9074, tc_HOL_Obool)), _u9075), hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9074, hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), _u9075)) = _u9076) )).
% 12.29/12.53 cnf(matrix-4215, plain, ( ~class_Orderings_Olinorder(_u9074) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9074), _u9075)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9074, tc_HOL_Obool)), _u9075), hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9074, hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), _u9075)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9074), _u9076), c_Big__Operators_Olinorder__class_OMax(_u9074, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9074, tc_HOL_Obool)), _u9075), hAPP(hAPP(c_Set_Oinsert(_u9074), _u9076), c_Orderings_Obot__class_Obot(tc_fun(_u9074, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4216, plain, ( ~class_Orderings_Olinorder(_u9077) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9078)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9077), _u9079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9077, tc_HOL_Obool)), _u9078), _u9079) = c_Orderings_Obot__class_Obot(tc_fun(_u9077, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9077), c_Big__Operators_Olinorder__class_OMax(_u9077, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9077, tc_HOL_Obool)), _u9078), _u9079))), c_Big__Operators_Olinorder__class_OMax(_u9077, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9077, tc_HOL_Obool)), _u9078), _u9079))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9077), c_Big__Operators_Olinorder__class_OMax(_u9077, _u9078)), c_Big__Operators_Olinorder__class_OMax(_u9077, _u9079))) )).
% 12.29/12.53 cnf(matrix-4217, plain, ( ~class_Orderings_Olinorder(_u9080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9080), _u9081)) | ( _u9081 = c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9080), _u9082)) | ( _u9082 = c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9080, tc_HOL_Obool)), _u9081), _u9082) != c_Orderings_Obot__class_Obot(tc_fun(_u9080, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u9080, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9080, tc_HOL_Obool)), _u9081), _u9082)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9080), c_Big__Operators_Olinorder__class_OMax(_u9080, _u9081)), c_Big__Operators_Olinorder__class_OMax(_u9080, _u9082))) )).
% 12.29/12.53 cnf(matrix-4218, plain, ( ~class_Orderings_Olinorder(_u9083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9083), _u9084)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9083, tc_HOL_Obool)), _u9084), hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9083, hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), _u9084)) = _u9085) )).
% 12.29/12.53 cnf(matrix-4219, plain, ( ~class_Orderings_Olinorder(_u9083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9083), _u9084)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9083, tc_HOL_Obool)), _u9084), hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9083, hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), _u9084)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9083), _u9085), c_Big__Operators_Olinorder__class_OMin(_u9083, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9083, tc_HOL_Obool)), _u9084), hAPP(hAPP(c_Set_Oinsert(_u9083), _u9085), c_Orderings_Obot__class_Obot(tc_fun(_u9083, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4220, plain, ( ~class_Orderings_Olinorder(_u9086) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9086), _u9087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9086), _u9088)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9086, tc_HOL_Obool)), _u9087), _u9088) = c_Orderings_Obot__class_Obot(tc_fun(_u9086, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9086), c_Big__Operators_Olinorder__class_OMin(_u9086, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9086, tc_HOL_Obool)), _u9087), _u9088))), c_Big__Operators_Olinorder__class_OMin(_u9086, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9086, tc_HOL_Obool)), _u9087), _u9088))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9086), c_Big__Operators_Olinorder__class_OMin(_u9086, _u9087)), c_Big__Operators_Olinorder__class_OMin(_u9086, _u9088))) )).
% 12.29/12.53 cnf(matrix-4221, plain, ( ~class_Orderings_Olinorder(_u9089) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9089), _u9090)) | ( _u9090 = c_Orderings_Obot__class_Obot(tc_fun(_u9089, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9089), _u9091)) | ( _u9091 = c_Orderings_Obot__class_Obot(tc_fun(_u9089, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9089, tc_HOL_Obool)), _u9090), _u9091) != c_Orderings_Obot__class_Obot(tc_fun(_u9089, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u9089, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9089, tc_HOL_Obool)), _u9090), _u9091)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9089), c_Big__Operators_Olinorder__class_OMin(_u9089, _u9090)), c_Big__Operators_Olinorder__class_OMin(_u9089, _u9091))) )).
% 12.29/12.53 cnf(matrix-4222, plain, ( ~class_Orderings_Olinorder(_u9092) | ( c_Orderings_Oord_Omin(_u9092, hAPP(c_COMBC(_u9092, _u9092, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9092))) = c_Orderings_Oord__class_Omax(_u9092)) )).
% 12.29/12.53 cnf(matrix-4223, plain, ( ~class_Orderings_Olinorder(_u9093) | ( c_Orderings_Oord_Omax(_u9093, hAPP(c_COMBC(_u9093, _u9093, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u9093))) = c_Orderings_Oord__class_Omin(_u9093)) )).
% 12.29/12.53 cnf(matrix-4224, plain, ( ~class_Orderings_Oord(_u9094) | ( c_Orderings_Oord__class_Omax(_u9094) = c_Orderings_Oord_Omax(_u9094, c_Orderings_Oord__class_Oless__eq(_u9094))) )).
% 12.29/12.53 cnf(matrix-4225, plain, ( ~class_Orderings_Oord(_u9095) | ( c_Orderings_Oord__class_Omin(_u9095) = c_Orderings_Oord_Omin(_u9095, c_Orderings_Oord__class_Oless__eq(_u9095))) )).
% 12.29/12.53 cnf(matrix-4226, plain, ( ~class_Orderings_Olinorder(_u9096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9096), _u9097)) | ( _u9097 = c_Orderings_Obot__class_Obot(tc_fun(_u9096, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9096), _u9098), c_Big__Operators_Olattice_OInf__fin(_u9096, c_Orderings_Oord__class_Omin(_u9096), _u9097)) = c_Big__Operators_Olattice_OInf__fin(_u9096, c_Orderings_Oord__class_Omin(_u9096), hAPP(c_Set_OCollect(_u9096), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_HOL_Obool), tc_HOL_Obool, _u9096), c_HOL_OEx(_u9096)), hAPP(hAPP(c_COMBC(_u9096, tc_fun(_u9096, tc_HOL_Obool), tc_fun(_u9096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9096, tc_HOL_Obool), tc_fun(_u9096, tc_HOL_Obool)), _u9096), c_COMBS(_u9096, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_HOL_Obool), tc_fun(_u9096, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9096), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9096), c_fconj)), hAPP(hAPP(c_COMBC(_u9096, tc_fun(_u9096, _u9096), tc_fun(_u9096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9096, tc_HOL_Obool), tc_fun(tc_fun(_u9096, _u9096), tc_fun(_u9096, tc_HOL_Obool)), _u9096), c_COMBB(_u9096, tc_HOL_Obool, _u9096)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u9096), _u9098))))), hAPP(hAPP(c_COMBC(_u9096, tc_fun(_u9096, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9096)), _u9097)))))) )).
% 12.29/12.53 cnf(matrix-4227, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4228, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4229, plain, ( ~class_Orderings_Olinorder(_u9099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9099), _u9100)) | ~hBOOL(hAPP(hAPP(c_member(_u9099), _u9101), _u9100)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9099), _u9101), c_Big__Operators_Olattice_OInf__fin(_u9099, c_Orderings_Oord__class_Omin(_u9099), _u9100)) = c_Big__Operators_Olattice_OInf__fin(_u9099, c_Orderings_Oord__class_Omin(_u9099), _u9100)) )).
% 12.29/12.53 cnf(matrix-4230, plain, ( ~class_Orderings_Olinorder(_u9102) | ( c_Big__Operators_Olattice_OInf__fin(_u9102, c_Orderings_Oord__class_Omin(_u9102), hAPP(hAPP(c_Set_Oinsert(_u9102), _u9103), c_Orderings_Obot__class_Obot(tc_fun(_u9102, tc_HOL_Obool)))) = _u9103) )).
% 12.29/12.53 cnf(matrix-4231, plain, ( ~class_Orderings_Olinorder(_u9104) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9104), _u9105)) | ( c_Big__Operators_Olattice_OInf__fin(_u9104, c_Orderings_Oord__class_Omin(_u9104), _u9105) = hAPP(c_Finite__Set_Ofold1(_u9104, c_Orderings_Oord__class_Omin(_u9104)), _u9105)) )).
% 12.29/12.53 cnf(matrix-4232, plain, ( ~class_Orderings_Olinorder(_u9106) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9106), _u9107)) | ( _u9107 = c_Orderings_Obot__class_Obot(tc_fun(_u9106, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9106, c_Orderings_Oord__class_Omin(_u9106), hAPP(hAPP(c_Set_Oinsert(_u9106), _u9108), _u9107)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9106), _u9108), c_Big__Operators_Olattice_OInf__fin(_u9106, c_Orderings_Oord__class_Omin(_u9106), _u9107))) )).
% 12.29/12.53 cnf(matrix-4233, plain, ( ~class_Orderings_Olinorder(_u9109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9109), _u9110)) | ( _u9111 = c_Orderings_Obot__class_Obot(tc_fun(_u9109, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9109, tc_HOL_Obool)), _u9111), _u9110)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9109), c_Big__Operators_Olattice_OInf__fin(_u9109, c_Orderings_Oord__class_Omin(_u9109), _u9111)), c_Big__Operators_Olattice_OInf__fin(_u9109, c_Orderings_Oord__class_Omin(_u9109), _u9110)) = c_Big__Operators_Olattice_OInf__fin(_u9109, c_Orderings_Oord__class_Omin(_u9109), _u9110)) )).
% 12.29/12.53 cnf(matrix-4234, plain, ( ~class_Orderings_Olinorder(_u9112) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9112), _u9113)) | ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9114), _u9113)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9112), _u9114), c_Big__Operators_Olattice_OInf__fin(_u9112, c_Orderings_Oord__class_Omin(_u9112), _u9113)) = _u9114) )).
% 12.29/12.53 cnf(matrix-4235, plain, ( ~class_Orderings_Olinorder(_u9115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9115), _u9116)) | ( _u9116 = c_Orderings_Obot__class_Obot(tc_fun(_u9115, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9115), _u9117)) | ( _u9117 = c_Orderings_Obot__class_Obot(tc_fun(_u9115, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9115, c_Orderings_Oord__class_Omin(_u9115), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9115, tc_HOL_Obool)), _u9116), _u9117)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9115), c_Big__Operators_Olattice_OInf__fin(_u9115, c_Orderings_Oord__class_Omin(_u9115), _u9116)), c_Big__Operators_Olattice_OInf__fin(_u9115, c_Orderings_Oord__class_Omin(_u9115), _u9117))) )).
% 12.29/12.53 cnf(matrix-4236, plain, ( ~class_Orderings_Olinorder(_u9118) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9118), _u9119)) | hBOOL(hAPP(hAPP(c_member(_u9118), _u9120), _u9119)) | ( _u9119 = c_Orderings_Obot__class_Obot(tc_fun(_u9118, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9118, c_Orderings_Oord__class_Omin(_u9118), hAPP(hAPP(c_Set_Oinsert(_u9118), _u9120), _u9119)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9118), _u9120), c_Big__Operators_Olattice_OInf__fin(_u9118, c_Orderings_Oord__class_Omin(_u9118), _u9119))) )).
% 12.29/12.53 cnf(matrix-4237, plain, ( ~class_Orderings_Olinorder(_u9121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9121), _u9122)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9121, c_Orderings_Oord__class_Omin(_u9121), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), _u9122)) = _u9123) )).
% 12.29/12.53 cnf(matrix-4238, plain, ( ~class_Orderings_Olinorder(_u9121) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9121), _u9122)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9121, c_Orderings_Oord__class_Omin(_u9121), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), _u9122)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9121), _u9123), c_Big__Operators_Olattice_OInf__fin(_u9121, c_Orderings_Oord__class_Omin(_u9121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9121, tc_HOL_Obool)), _u9122), hAPP(hAPP(c_Set_Oinsert(_u9121), _u9123), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4239, plain, ( ~class_Orderings_Olinorder(_u9124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9124), _u9125)) | ( _u9125 = c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9124), _u9126)) | ( _u9126 = c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9124, tc_HOL_Obool)), _u9125), _u9126) != c_Orderings_Obot__class_Obot(tc_fun(_u9124, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9124, c_Orderings_Oord__class_Omin(_u9124), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9124, tc_HOL_Obool)), _u9125), _u9126)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9124), c_Big__Operators_Olattice_OInf__fin(_u9124, c_Orderings_Oord__class_Omin(_u9124), _u9125)), c_Big__Operators_Olattice_OInf__fin(_u9124, c_Orderings_Oord__class_Omin(_u9124), _u9126))) )).
% 12.29/12.53 cnf(matrix-4240, plain, ( ~class_Orderings_Olinorder(_u9127) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9127), _u9128)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9127), _u9129)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9127, tc_HOL_Obool)), _u9128), _u9129) = c_Orderings_Obot__class_Obot(tc_fun(_u9127, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9127), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9127, tc_HOL_Obool)), _u9128), _u9129))), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9127, tc_HOL_Obool)), _u9128), _u9129))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9127), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), _u9128)), c_Big__Operators_Olattice_OInf__fin(_u9127, c_Orderings_Oord__class_Omin(_u9127), _u9129))) )).
% 12.29/12.53 cnf(matrix-4241, plain, ( ~class_Orderings_Olinorder(_u9130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9130), _u9131)) | ~hBOOL(hAPP(hAPP(c_member(_u9130), _u9132), _u9131)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9130, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_Set_Oinsert(_u9130), _u9132), c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131) = _u9132) )).
% 12.29/12.53 cnf(matrix-4242, plain, ( ~class_Orderings_Olinorder(_u9130) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9130), _u9131)) | ~hBOOL(hAPP(hAPP(c_member(_u9130), _u9132), _u9131)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9130, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_Set_Oinsert(_u9130), _u9132), c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), _u9131) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9130), _u9132), c_Big__Operators_Olattice_OInf__fin(_u9130, c_Orderings_Oord__class_Omin(_u9130), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9130, tc_HOL_Obool)), _u9131), hAPP(hAPP(c_Set_Oinsert(_u9130), _u9132), c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4243, plain, ( ~class_Orderings_Olinorder(_u9133) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9134)) | ( _u9134 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9133), _u9135)) | ( _u9135 = c_Orderings_Obot__class_Obot(tc_fun(_u9133, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9133), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9134)), c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), _u9135)) = c_Big__Operators_Olattice_OInf__fin(_u9133, c_Orderings_Oord__class_Omin(_u9133), hAPP(c_Set_OCollect(_u9133), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool, _u9133), c_HOL_OEx(_u9133)), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_HOL_Obool), _u9133), hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool, _u9133), c_HOL_OEx(_u9133))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool))), tc_fun(tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), _u9133), c_COMBS(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9133, tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool))), _u9133), hAPP(c_COMBB(tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), _u9133), c_COMBS(_u9133, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool)), tc_fun(_u9133, tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9133), hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9133), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9133), c_fconj))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_fun(_u9133, _u9133)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9133, _u9133), tc_fun(_u9133, tc_HOL_Obool)), tc_fun(tc_fun(_u9133, tc_fun(_u9133, _u9133)), tc_fun(_u9133, tc_fun(_u9133, tc_HOL_Obool))), _u9133), c_COMBB(tc_fun(_u9133, _u9133), tc_fun(_u9133, tc_HOL_Obool), _u9133)), hAPP(hAPP(c_COMBB(tc_fun(_u9133, tc_HOL_Obool), tc_fun(tc_fun(_u9133, _u9133), tc_fun(_u9133, tc_HOL_Obool)), _u9133), c_COMBB(_u9133, tc_HOL_Obool, _u9133)), c_fequal))), c_Orderings_Oord__class_Omax(_u9133)))))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9133, tc_HOL_Obool), tc_fun(_u9133, tc_HOL_Obool)), _u9133), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9133)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9133), c_fconj), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9133)), _u9134)))), hAPP(hAPP(c_COMBC(_u9133, tc_fun(_u9133, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9133)), _u9135)))))))) )).
% 12.29/12.53 cnf(matrix-4244, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Int_Oint), _u9139), _u9138) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9137), c_Int_Onat), _u9139)), _u9138))) | hBOOL(hAPP(hAPP(c_member(_u9137), skolem236(_u9139, _u9138, _u9137)), _u9138)) )).
% 12.29/12.53 cnf(matrix-4245, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Int_Oint), _u9139), _u9138) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9137, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u9137), c_Int_Onat), _u9139)), _u9138))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u9139, skolem236(_u9139, _u9138, _u9137))) )).
% 12.29/12.53 cnf(matrix-4246, plain, ( ~class_Orderings_Olinorder(_u9140) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9140), _u9141)) | ( _u9141 = c_Orderings_Obot__class_Obot(tc_fun(_u9140, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9140), _u9142)) | ( _u9142 = c_Orderings_Obot__class_Obot(tc_fun(_u9140, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9140), c_Big__Operators_Olattice_OSup__fin(_u9140, c_Orderings_Oord__class_Omax(_u9140), _u9141)), c_Big__Operators_Olattice_OSup__fin(_u9140, c_Orderings_Oord__class_Omax(_u9140), _u9142)) = c_Big__Operators_Olattice_OSup__fin(_u9140, c_Orderings_Oord__class_Omax(_u9140), hAPP(c_Set_OCollect(_u9140), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool, _u9140), c_HOL_OEx(_u9140)), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_HOL_Obool), _u9140), hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool, _u9140), c_HOL_OEx(_u9140))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool))), tc_fun(tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), _u9140), c_COMBS(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u9140, tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool))), _u9140), hAPP(c_COMBB(tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool)), _u9140), c_COMBS(_u9140, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool)), tc_fun(_u9140, tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u9140), hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9140), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9140), c_fconj))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_fun(_u9140, _u9140)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9140, _u9140), tc_fun(_u9140, tc_HOL_Obool)), tc_fun(tc_fun(_u9140, tc_fun(_u9140, _u9140)), tc_fun(_u9140, tc_fun(_u9140, tc_HOL_Obool))), _u9140), c_COMBB(tc_fun(_u9140, _u9140), tc_fun(_u9140, tc_HOL_Obool), _u9140)), hAPP(hAPP(c_COMBB(tc_fun(_u9140, tc_HOL_Obool), tc_fun(tc_fun(_u9140, _u9140), tc_fun(_u9140, tc_HOL_Obool)), _u9140), c_COMBB(_u9140, tc_HOL_Obool, _u9140)), c_fequal))), c_Orderings_Oord__class_Omin(_u9140)))))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u9140, tc_HOL_Obool), tc_fun(_u9140, tc_HOL_Obool)), _u9140), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u9140)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9140), c_fconj), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9140)), _u9141)))), hAPP(hAPP(c_COMBC(_u9140, tc_fun(_u9140, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9140)), _u9142)))))))) )).
% 12.29/12.53 cnf(matrix-4247, plain, ( ~class_Orderings_Olinorder(_u9143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9143), _u9144)) | ( _u9144 = c_Orderings_Obot__class_Obot(tc_fun(_u9143, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9143), _u9145), c_Big__Operators_Olattice_OSup__fin(_u9143, c_Orderings_Oord__class_Omax(_u9143), _u9144)) = c_Big__Operators_Olattice_OSup__fin(_u9143, c_Orderings_Oord__class_Omax(_u9143), hAPP(c_Set_OCollect(_u9143), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_HOL_Obool), tc_HOL_Obool, _u9143), c_HOL_OEx(_u9143)), hAPP(hAPP(c_COMBC(_u9143, tc_fun(_u9143, tc_HOL_Obool), tc_fun(_u9143, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u9143, tc_HOL_Obool), tc_fun(_u9143, tc_HOL_Obool)), _u9143), c_COMBS(_u9143, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_HOL_Obool), tc_fun(_u9143, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u9143), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u9143), c_fconj)), hAPP(hAPP(c_COMBC(_u9143, tc_fun(_u9143, _u9143), tc_fun(_u9143, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9143, tc_HOL_Obool), tc_fun(tc_fun(_u9143, _u9143), tc_fun(_u9143, tc_HOL_Obool)), _u9143), c_COMBB(_u9143, tc_HOL_Obool, _u9143)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u9143), _u9145))))), hAPP(hAPP(c_COMBC(_u9143, tc_fun(_u9143, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9143)), _u9144)))))) )).
% 12.29/12.53 cnf(matrix-4248, plain, ( ~class_Orderings_Olinorder(_u9148) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9148), _u9149)) | ( _u9149 = c_Orderings_Obot__class_Obot(tc_fun(_u9148, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9148), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9148), skolem237(_u9149, _u9148)), skolem238(_u9149, _u9148))), hAPP(hAPP(c_Set_Oinsert(_u9148), skolem237(_u9149, _u9148)), hAPP(hAPP(c_Set_Oinsert(_u9148), skolem238(_u9149, _u9148)), c_Orderings_Obot__class_Obot(tc_fun(_u9148, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9148), c_Big__Operators_Olattice_OInf__fin(_u9148, c_Orderings_Oord__class_Omin(_u9148), _u9149)), _u9149)) )).
% 12.29/12.53 cnf(matrix-4249, plain, ( ~class_Orderings_Olinorder(_u9150) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9150), _u9151)) | ~hBOOL(hAPP(hAPP(c_member(_u9150), _u9152), _u9151)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9150), _u9152), c_Big__Operators_Olattice_OSup__fin(_u9150, c_Orderings_Oord__class_Omax(_u9150), _u9151)) = c_Big__Operators_Olattice_OSup__fin(_u9150, c_Orderings_Oord__class_Omax(_u9150), _u9151)) )).
% 12.29/12.53 cnf(matrix-4250, plain, ( ~class_Orderings_Olinorder(_u9153) | ( c_Big__Operators_Olattice_OSup__fin(_u9153, c_Orderings_Oord__class_Omax(_u9153), hAPP(hAPP(c_Set_Oinsert(_u9153), _u9154), c_Orderings_Obot__class_Obot(tc_fun(_u9153, tc_HOL_Obool)))) = _u9154) )).
% 12.29/12.53 cnf(matrix-4251, plain, ( ~class_Orderings_Olinorder(_u9155) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9155), _u9156)) | ( c_Big__Operators_Olattice_OSup__fin(_u9155, c_Orderings_Oord__class_Omax(_u9155), _u9156) = hAPP(c_Finite__Set_Ofold1(_u9155, c_Orderings_Oord__class_Omax(_u9155)), _u9156)) )).
% 12.29/12.53 cnf(matrix-4252, plain, ( ~class_Orderings_Olinorder(_u9157) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9157), _u9158)) | ( _u9158 = c_Orderings_Obot__class_Obot(tc_fun(_u9157, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), hAPP(hAPP(c_Set_Oinsert(_u9157), _u9159), _u9158)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9157), _u9159), c_Big__Operators_Olattice_OSup__fin(_u9157, c_Orderings_Oord__class_Omax(_u9157), _u9158))) )).
% 12.29/12.53 cnf(matrix-4253, plain, ( ~class_Orderings_Olinorder(_u9160) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9160), _u9161)) | ( _u9162 = c_Orderings_Obot__class_Obot(tc_fun(_u9160, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9160, tc_HOL_Obool)), _u9162), _u9161)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9160), c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9162)), c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9161)) = c_Big__Operators_Olattice_OSup__fin(_u9160, c_Orderings_Oord__class_Omax(_u9160), _u9161)) )).
% 12.29/12.53 cnf(matrix-4254, plain, ( ~class_Orderings_Olinorder(_u9163) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9163), _u9164)) | ~hBOOL(hAPP(hAPP(c_member(_u9163), _u9165), _u9164)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9163), _u9165), c_Big__Operators_Olattice_OSup__fin(_u9163, c_Orderings_Oord__class_Omax(_u9163), _u9164)) = _u9165) )).
% 12.29/12.53 cnf(matrix-4255, plain, ( ~class_Orderings_Olinorder(_u9166) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9167)) | ( _u9167 = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9166), _u9168)) | ( _u9168 = c_Orderings_Obot__class_Obot(tc_fun(_u9166, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9166, tc_HOL_Obool)), _u9167), _u9168)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9166), c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), _u9167)), c_Big__Operators_Olattice_OSup__fin(_u9166, c_Orderings_Oord__class_Omax(_u9166), _u9168))) )).
% 12.29/12.53 cnf(matrix-4256, plain, ( ~class_Orderings_Olinorder(_u9169) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9169), _u9170)) | hBOOL(hAPP(hAPP(c_member(_u9169), _u9171), _u9170)) | ( _u9170 = c_Orderings_Obot__class_Obot(tc_fun(_u9169, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), hAPP(hAPP(c_Set_Oinsert(_u9169), _u9171), _u9170)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9169), _u9171), c_Big__Operators_Olattice_OSup__fin(_u9169, c_Orderings_Oord__class_Omax(_u9169), _u9170))) )).
% 12.29/12.53 cnf(matrix-4257, plain, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9172, tc_HOL_Obool)), _u9173), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), _u9173)) = _u9174) )).
% 12.29/12.53 cnf(matrix-4258, plain, ( ~class_Orderings_Olinorder(_u9172) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9172), _u9173)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9172, tc_HOL_Obool)), _u9173), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), _u9173)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9172), _u9174), c_Big__Operators_Olattice_OSup__fin(_u9172, c_Orderings_Oord__class_Omax(_u9172), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9172, tc_HOL_Obool)), _u9173), hAPP(hAPP(c_Set_Oinsert(_u9172), _u9174), c_Orderings_Obot__class_Obot(tc_fun(_u9172, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4259, plain, ( ~class_Orderings_Olinorder(_u9175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9176)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9175), _u9177)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177) = c_Orderings_Obot__class_Obot(tc_fun(_u9175, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9175), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177))), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9175, tc_HOL_Obool)), _u9176), _u9177))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9175), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9176)), c_Big__Operators_Olattice_OSup__fin(_u9175, c_Orderings_Oord__class_Omax(_u9175), _u9177))) )).
% 12.29/12.53 cnf(matrix-4260, plain, ( ~class_Orderings_Olinorder(_u9178) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9178), _u9179)) | ( _u9179 = c_Orderings_Obot__class_Obot(tc_fun(_u9178, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9178), _u9180)) | ( _u9180 = c_Orderings_Obot__class_Obot(tc_fun(_u9178, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9178, tc_HOL_Obool)), _u9179), _u9180) != c_Orderings_Obot__class_Obot(tc_fun(_u9178, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9178, c_Orderings_Oord__class_Omax(_u9178), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9178, tc_HOL_Obool)), _u9179), _u9180)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9178), c_Big__Operators_Olattice_OSup__fin(_u9178, c_Orderings_Oord__class_Omax(_u9178), _u9179)), c_Big__Operators_Olattice_OSup__fin(_u9178, c_Orderings_Oord__class_Omax(_u9178), _u9180))) )).
% 12.29/12.53 cnf(matrix-4261, plain, ( ~class_Orderings_Olinorder(_u9181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9181), _u9182)) | ~hBOOL(hAPP(hAPP(c_member(_u9181), _u9183), _u9182)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9181, tc_HOL_Obool)), _u9182), hAPP(hAPP(c_Set_Oinsert(_u9181), _u9183), c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9181, c_Orderings_Oord__class_Omax(_u9181), _u9182) = _u9183) )).
% 12.29/12.53 cnf(matrix-4262, plain, ( ~class_Orderings_Olinorder(_u9181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9181), _u9182)) | ~hBOOL(hAPP(hAPP(c_member(_u9181), _u9183), _u9182)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9181, tc_HOL_Obool)), _u9182), hAPP(hAPP(c_Set_Oinsert(_u9181), _u9183), c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u9181, c_Orderings_Oord__class_Omax(_u9181), _u9182) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9181), _u9183), c_Big__Operators_Olattice_OSup__fin(_u9181, c_Orderings_Oord__class_Omax(_u9181), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9181, tc_HOL_Obool)), _u9182), hAPP(hAPP(c_Set_Oinsert(_u9181), _u9183), c_Orderings_Obot__class_Obot(tc_fun(_u9181, tc_HOL_Obool))))))) )).
% 12.29/12.53 cnf(matrix-4263, plain, ( ~class_Orderings_Olinorder(_u9184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9184), _u9185)) | ( _u9185 = c_Orderings_Obot__class_Obot(tc_fun(_u9184, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9184), c_Big__Operators_Olattice_OInf__fin(_u9184, c_Orderings_Oord__class_Omin(_u9184), _u9185)), c_Big__Operators_Olattice_OSup__fin(_u9184, c_Orderings_Oord__class_Omax(_u9184), _u9185))) )).
% 12.29/12.53 cnf(matrix-4264, plain, ( ~class_Orderings_Olinorder(_u9188) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9188), _u9189)) | ( _u9189 = c_Orderings_Obot__class_Obot(tc_fun(_u9188, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9188), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9188), skolem239(_u9189, _u9188)), skolem240(_u9189, _u9188))), hAPP(hAPP(c_Set_Oinsert(_u9188), skolem239(_u9189, _u9188)), hAPP(hAPP(c_Set_Oinsert(_u9188), skolem240(_u9189, _u9188)), c_Orderings_Obot__class_Obot(tc_fun(_u9188, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9188), c_Big__Operators_Olattice_OSup__fin(_u9188, c_Orderings_Oord__class_Omax(_u9188), _u9189)), _u9189)) )).
% 12.29/12.53 cnf(matrix-4265, plain, ( ~class_Orderings_Olinorder(_u9192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9192), _u9193)) | ( _u9193 = c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9192), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9192), skolem241(_u9193, _u9192)), skolem242(_u9193, _u9192))), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem241(_u9193, _u9192)), hAPP(hAPP(c_Set_Oinsert(_u9192), skolem242(_u9193, _u9192)), c_Orderings_Obot__class_Obot(tc_fun(_u9192, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9192), c_Big__Operators_Olinorder__class_OMax(_u9192, _u9193)), _u9193)) )).
% 12.29/12.53 cnf(matrix-4266, plain, ( ~class_Orderings_Olinorder(_u9196) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9196), _u9197)) | ( _u9197 = c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9196), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9196), skolem243(_u9197, _u9196)), skolem244(_u9197, _u9196))), hAPP(hAPP(c_Set_Oinsert(_u9196), skolem243(_u9197, _u9196)), hAPP(hAPP(c_Set_Oinsert(_u9196), skolem244(_u9197, _u9196)), c_Orderings_Obot__class_Obot(tc_fun(_u9196, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u9196), c_Big__Operators_Olinorder__class_OMin(_u9196, _u9197)), _u9197)) )).
% 12.29/12.53 cnf(matrix-4267, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9200, tc_HOL_Obool)), _u9201), _u9202)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9199), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9202))) | hBOOL(hAPP(hAPP(c_member(_u9200), skolem245(_u9203, _u9202, _u9201, _u9200, _u9199)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9200, tc_HOL_Obool)), _u9201), _u9202))) )).
% 12.29/12.53 cnf(matrix-4268, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9199) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9201)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9200), _u9202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9200, tc_HOL_Obool)), _u9201), _u9202)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9199), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9200, _u9199), _u9203), _u9202))) | ( hAPP(_u9203, skolem245(_u9203, _u9202, _u9201, _u9200, _u9199)) != c_Groups_Oone__class_Oone(_u9199)) )).
% 12.29/12.53 cnf(matrix-4269, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9207)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9208)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9206, tc_HOL_Obool)), _u9207), _u9208)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9205), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9207)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9208))) | hBOOL(hAPP(hAPP(c_member(_u9206), skolem246(_u9209, _u9208, _u9207, _u9206, _u9205)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9206, tc_HOL_Obool)), _u9207), _u9208))) )).
% 12.29/12.53 cnf(matrix-4270, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9205) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9207)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9206), _u9208)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9206, tc_HOL_Obool)), _u9207), _u9208)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9205), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9207)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9206, _u9205), _u9209), _u9208))) | ( hAPP(_u9209, skolem246(_u9209, _u9208, _u9207, _u9206, _u9205)) != c_Groups_Oone__class_Oone(_u9205)) )).
% 12.29/12.53 cnf(matrix-4271, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9211), _u9212)) | ~hBOOL(hAPP(hAPP(c_member(_u9211), _u9213), _u9212)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9211, _u9210), hAPP(hAPP(c_COMBC(_u9211, _u9210, _u9210), hAPP(hAPP(c_COMBS(_u9211, _u9210, tc_fun(_u9210, _u9210)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9210, tc_fun(_u9210, _u9210)), _u9211), c_If(_u9210)), hAPP(hAPP(c_COMBC(_u9211, _u9211, tc_HOL_Obool), c_fequal), _u9213))), _u9214)), _u9215)), _u9212) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9210), hAPP(_u9214, _u9213)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9210), _u9215), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u9211), _u9212)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.29/12.53 cnf(matrix-4272, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9210) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9211), _u9212)) | hBOOL(hAPP(hAPP(c_member(_u9211), _u9213), _u9212)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9211, _u9210), hAPP(hAPP(c_COMBC(_u9211, _u9210, _u9210), hAPP(hAPP(c_COMBS(_u9211, _u9210, tc_fun(_u9210, _u9210)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u9210, tc_fun(_u9210, _u9210)), _u9211), c_If(_u9210)), hAPP(hAPP(c_COMBC(_u9211, _u9211, tc_HOL_Obool), c_fequal), _u9213))), _u9214)), _u9215)), _u9212) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9210), _u9215), hAPP(c_Finite__Set_Ocard(_u9211), _u9212))) )).
% 12.29/12.53 cnf(matrix-4273, plain, ( ~class_Fields_Ofield(_u9216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9217), _u9218)) | ( hAPP(_u9219, _u9220) = c_Groups_Ozero__class_Ozero(_u9216)) | ~hBOOL(hAPP(hAPP(c_member(_u9217), _u9220), _u9218)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9217, tc_HOL_Obool)), _u9218), hAPP(hAPP(c_Set_Oinsert(_u9217), _u9220), c_Orderings_Obot__class_Obot(tc_fun(_u9217, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9216), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), _u9218)), hAPP(_u9219, _u9220))) )).
% 12.29/12.53 cnf(matrix-4274, plain, ( ~class_Fields_Ofield(_u9216) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9217), _u9218)) | ( hAPP(_u9219, _u9220) = c_Groups_Ozero__class_Ozero(_u9216)) | hBOOL(hAPP(hAPP(c_member(_u9217), _u9220), _u9218)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9217, tc_HOL_Obool)), _u9218), hAPP(hAPP(c_Set_Oinsert(_u9217), _u9220), c_Orderings_Obot__class_Obot(tc_fun(_u9217, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9217, _u9216), _u9219), _u9218)) )).
% 12.29/12.53 cnf(matrix-4275, plain, ( ~class_Orderings_Olinorder(_u9223) | ( hAPP(_u9224, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), skolem247(_u9225, _u9224, _u9223)), skolem248(_u9225, _u9224, _u9223))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9223), hAPP(_u9224, skolem247(_u9225, _u9224, _u9223))), hAPP(_u9224, skolem248(_u9225, _u9224, _u9223)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9223), _u9225)) | ( _u9225 = c_Orderings_Obot__class_Obot(tc_fun(_u9223, tc_HOL_Obool))) | ( hAPP(_u9224, c_Big__Operators_Olattice_OSup__fin(_u9223, c_Orderings_Oord__class_Omax(_u9223), _u9225)) = c_Big__Operators_Olattice_OSup__fin(_u9223, c_Orderings_Oord__class_Omax(_u9223), hAPP(c_Set_Oimage(_u9223, _u9223, _u9224), _u9225))) )).
% 12.29/12.53 cnf(matrix-4276, plain, ( ~c_Nat__Transfer_Ois__nat(_u9226) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9226), _u9227)) )).
% 12.29/12.53 cnf(matrix-4277, plain, ( ~class_Rings_Oring__1(_u9228) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9228), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9229), _u9230)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9228), hAPP(c_Int_Oring__1__class_Oof__int(_u9228), _u9229)), _u9230)) )).
% 12.29/12.53 cnf(matrix-4278, plain, ( ~class_Rings_Ocomm__semiring__1(_u9231) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9231), _u9232), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u9232) )).
% 12.29/12.53 cnf(matrix-4279, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9233), _u9234)), _u9235) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9233), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9234), _u9235))) )).
% 12.29/12.53 cnf(matrix-4280, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u9236) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9236), _u9237), c_Groups_Ozero__class_Ozero(_u9236)) = c_Groups_Ozero__class_Ozero(_u9236)) )).
% 12.29/12.53 cnf(matrix-4281, plain, ( ~class_Rings_Odivision__ring(_u9238) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9238), c_Groups_Ozero__class_Ozero(_u9238)), _u9239) = c_Groups_Ozero__class_Ozero(_u9238)) )).
% 12.29/12.53 cnf(matrix-4282, plain, ( ~class_Rings_Odivision__ring(_u9240) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9240), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9240), _u9241), _u9242)), _u9243) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9240), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9240), _u9241), _u9243)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9240), _u9242), _u9243))) )).
% 12.29/12.53 cnf(matrix-4283, plain, ( ~class_Rings_Odivision__ring(_u9244) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9244), _u9245), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9244), _u9246), _u9247)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9244), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9244), _u9245), _u9246)), _u9247)) )).
% 12.29/12.53 cnf(matrix-4284, plain, ( ~class_Rings_Odivision__ring(_u9248) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9248), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9248), _u9249), _u9250)), _u9251) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9248), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9248), _u9249), _u9251)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9248), _u9250), _u9251))) )).
% 12.29/12.53 cnf(matrix-4285, plain, ( ~class_Rings_Ocomm__semiring__1(_u9252) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9252), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9252), _u9253), _u9254)), _u9255) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9252), hAPP(hAPP(c_Power_Opower__class_Opower(_u9252), _u9253), _u9255)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9252), _u9254), _u9255))) )).
% 12.29/12.53 cnf(matrix-4286, plain, ( ~class_Rings_Odivision__ring(_u9256) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9256), _u9257), c_Groups_Oone__class_Oone(_u9256)) = _u9257) )).
% 12.29/12.53 cnf(matrix-4287, plain, ( ~class_Rings_Odivision__ring(_u9258) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9258), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9258), _u9259), _u9260)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9258), hAPP(c_Groups_Ouminus__class_Ouminus(_u9258), _u9259)), _u9260)) )).
% 12.29/12.53 cnf(matrix-4288, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9261), _u9262)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9261)), _u9262)) )).
% 12.29/12.53 cnf(matrix-4289, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9263)), _u9264) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9263), _u9264))) )).
% 12.29/12.53 cnf(matrix-4290, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9265)), _u9266) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9265), _u9266))) )).
% 12.29/12.53 cnf(matrix-4291, plain, ( ~class_Rings_Ocomm__semiring__1(_u9267) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9267), hAPP(hAPP(c_Power_Opower__class_Opower(_u9267), _u9268), _u9269)), _u9270) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9267), _u9268), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9269), _u9270))) )).
% 12.29/12.53 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9271)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9271)), _u9272) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9271), _u9272))) )).
% 12.29/12.53 cnf(matrix-4293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9273)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9273), _u9274)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u9273)), _u9274)) )).
% 12.29/12.53 cnf(matrix-4294, plain, ( ~class_Fields_Ofield(_u9275) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9275), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9276, _u9275), _u9277), _u9278)), _u9279) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9276, _u9275), hAPP(hAPP(c_COMBC(_u9276, _u9275, _u9275), hAPP(hAPP(c_COMBB(_u9275, tc_fun(_u9275, _u9275), _u9276), c_Rings_Oinverse__class_Odivide(_u9275)), _u9277)), _u9279)), _u9278)) )).
% 12.29/12.53 cnf(matrix-4295, plain, ( ~class_Rings_Odivision__ring(_u9280) | ( _u9281 = c_Groups_Ozero__class_Ozero(_u9280)) | ( _u9282 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9280), _u9283), _u9281)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9280), _u9282), _u9281) = _u9283) )).
% 12.29/12.53 cnf(matrix-4296, plain, ( ~class_Rings_Odivision__ring(_u9280) | ( _u9281 = c_Groups_Ozero__class_Ozero(_u9280)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9280), _u9282), _u9281) != _u9283) | ( _u9282 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9280), _u9283), _u9281)) )).
% 12.29/12.53 cnf(matrix-4297, plain, ( ~class_Rings_Odivision__ring(_u9284) | ( _u9285 = c_Groups_Ozero__class_Ozero(_u9284)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9284), _u9286), _u9285) != _u9287) | ( _u9286 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9284), _u9287), _u9285)) )).
% 12.29/12.53 cnf(matrix-4298, plain, ( ~class_Rings_Odivision__ring(_u9284) | ( _u9285 = c_Groups_Ozero__class_Ozero(_u9284)) | ( _u9286 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9284), _u9287), _u9285)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9284), _u9286), _u9285) = _u9287) )).
% 12.29/12.53 cnf(matrix-4299, plain, ( ~class_Rings_Odivision__ring(_u9288) | ( _u9289 = c_Groups_Ozero__class_Ozero(_u9288)) | ( _u9290 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9288), _u9291), _u9289)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9288), _u9290), _u9289) = _u9291) )).
% 12.29/12.53 cnf(matrix-4300, plain, ( ~class_Rings_Odivision__ring(_u9292) | ( _u9293 = c_Groups_Ozero__class_Ozero(_u9292)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9292), _u9294), _u9293) != _u9295) | ( _u9294 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9292), _u9295), _u9293)) )).
% 12.29/12.53 cnf(matrix-4301, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u9296) | ( _u9297 != c_Groups_Ozero__class_Ozero(_u9296)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9296), _u9297), _u9297) = c_Groups_Ozero__class_Ozero(_u9296)) )).
% 12.29/12.53 cnf(matrix-4302, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u9296) | ( _u9297 = c_Groups_Ozero__class_Ozero(_u9296)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9296), _u9297), _u9297) = c_Groups_Oone__class_Oone(_u9296)) )).
% 12.29/12.53 cnf(matrix-4303, plain, ( ~class_Rings_Odivision__ring(_u9298) | ( _u9299 = c_Groups_Ozero__class_Ozero(_u9298)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9298), _u9299), _u9299) = c_Groups_Oone__class_Oone(_u9298)) )).
% 12.29/12.53 cnf(matrix-4304, plain, ( ~class_Rings_Odivision__ring(_u9300) | ( _u9301 = c_Groups_Ozero__class_Ozero(_u9300)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9300), _u9302), _u9301) != c_Groups_Oone__class_Oone(_u9300)) | ( _u9302 = _u9301) )).
% 12.29/12.53 cnf(matrix-4305, plain, ( ~class_Rings_Odivision__ring(_u9300) | ( _u9301 = c_Groups_Ozero__class_Ozero(_u9300)) | ( _u9302 != _u9301) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9300), _u9302), _u9301) = c_Groups_Oone__class_Oone(_u9300)) )).
% 12.29/12.53 cnf(matrix-4306, plain, ( ~class_Rings_Odivision__ring(_u9303) | ( _u9304 = c_Groups_Ozero__class_Ozero(_u9303)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9303), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9303), _u9305), _u9304)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9303), _u9305), hAPP(c_Groups_Ouminus__class_Ouminus(_u9303), _u9304))) )).
% 12.29/12.53 cnf(matrix-4307, plain, ( ~class_Rings_Odivision__ring(_u9306) | ( _u9307 = c_Groups_Ozero__class_Ozero(_u9306)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9306), hAPP(c_Groups_Ouminus__class_Ouminus(_u9306), _u9308)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9306), _u9307)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9306), _u9308), _u9307)) )).
% 12.29/12.53 cnf(matrix-4308, plain, ( ~class_Rings_Ocomm__semiring__1(_u9309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9309), hAPP(hAPP(c_Power_Opower__class_Opower(_u9309), _u9310), _u9311)), _u9310) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9309), _u9310), hAPP(c_Nat_OSuc, _u9311))) )).
% 12.29/12.53 cnf(matrix-4309, plain, ( ~class_Rings_Ocomm__semiring__1(_u9312) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9312), _u9313), hAPP(hAPP(c_Power_Opower__class_Opower(_u9312), _u9313), _u9314)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9312), _u9313), hAPP(c_Nat_OSuc, _u9314))) )).
% 12.29/12.53 cnf(matrix-4310, plain, ( ~class_Rings_Ocomm__semiring__1(_u9315) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9315), _u9316), hAPP(c_Nat_OSuc, _u9317)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9315), _u9316), hAPP(hAPP(c_Power_Opower__class_Opower(_u9315), _u9316), _u9317))) )).
% 12.29/12.53 cnf(matrix-4311, plain, ( ~class_Rings_Ocomm__semiring__1(_u9318) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9318), _u9319), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u9318)) )).
% 12.29/12.53 cnf(matrix-4312, plain, ( ~class_Rings_Ocomm__semiring__1(_u9320) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9320), hAPP(hAPP(c_Power_Opower__class_Opower(_u9320), _u9321), _u9322)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9320), _u9321), _u9323)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9320), _u9321), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9322), _u9323))) )).
% 12.29/12.53 cnf(matrix-4313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9324)) | 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), _u9324), _u9325))) )).
% 12.29/12.53 cnf(matrix-4314, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9327), _u9328)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9326), _u9327)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9326), _u9328))) )).
% 12.29/12.53 cnf(matrix-4315, plain, ( ~class_Rings_Oring__1(_u9329) | ~hBOOL(hAPP(hAPP(c_member(_u9329), _u9330), c_Int_Oring__1__class_OInts(_u9329))) | hBOOL(hAPP(hAPP(c_member(_u9329), hAPP(hAPP(c_Power_Opower__class_Opower(_u9329), _u9330), _u9331)), c_Int_Oring__1__class_OInts(_u9329))) )).
% 12.29/12.53 cnf(matrix-4316, plain, ( ~class_Fields_Ofield__inverse__zero(_u9332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9333), _u9334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9333, _u9332), hAPP(hAPP(c_COMBS(_u9333, _u9332, _u9332), hAPP(hAPP(c_COMBB(_u9332, tc_fun(_u9332, _u9332), _u9333), c_Rings_Oinverse__class_Odivide(_u9332)), _u9335)), _u9336)), _u9334) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9332), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9333, _u9332), _u9335), _u9334)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9333, _u9332), _u9336), _u9334))) )).
% 12.29/12.53 cnf(matrix-4317, plain, ( ~class_Fields_Ofield(_u9337) | ( _u9338 = c_Groups_Oone__class_Oone(_u9337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9337), hAPP(c_Power_Opower__class_Opower(_u9337), _u9338)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9339)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9337), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9337), hAPP(hAPP(c_Power_Opower__class_Opower(_u9337), _u9338), _u9339)), c_Groups_Oone__class_Oone(_u9337))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9337), _u9338), c_Groups_Oone__class_Oone(_u9337)))) )).
% 12.29/12.53 cnf(matrix-4318, 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), _u9340)), _u9341))) )).
% 12.29/12.53 cnf(matrix-4319, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9343), _u9344)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9343, _u9342), hAPP(c_COMBK(_u9342, _u9343), _u9345)), _u9344) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9342), _u9345), hAPP(c_Finite__Set_Ocard(_u9343), _u9344))) )).
% 12.29/12.53 cnf(matrix-4320, plain, ( ( _u9348 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9350), _u9348) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4321, plain, ( ( _u9349 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9351), _u9349) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9351), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9351), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9349), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.29/12.53 cnf(matrix-4322, 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), _u9354)), _u9356))) | ( _u9354 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9356 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4323, 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), _u9355)), _u9357))) | ( _u9355 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4324, 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), _u9355)), _u9357))) | ( _u9357 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4325, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9358), _u9359)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u9358, tc_HOL_Obool)), hAPP(c_Set_OPow(_u9358), _u9359)) = 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(_u9358), _u9359))) )).
% 12.29/12.53 cnf(matrix-4326, plain, ( ~class_Rings_Olinordered__semidom(_u9360) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9360), _u9361), _u9362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9360), c_Groups_Ozero__class_Ozero(_u9360)), _u9361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9360), hAPP(hAPP(c_Power_Opower__class_Opower(_u9360), _u9361), _u9363)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9360), _u9362), _u9363))) )).
% 12.29/12.53 cnf(matrix-4327, plain, ( ~class_Fields_Ofield(_u9364) | ( _u9365 = c_Groups_Ozero__class_Ozero(_u9364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9366), _u9367)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9365), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9367), _u9366)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9364), hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9365), _u9367)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9364), _u9365), _u9366))) )).
% 12.29/12.53 cnf(matrix-4328, plain, ( ~class_Rings_Olinordered__semidom(_u9368) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9368), c_Groups_Oone__class_Oone(_u9368)), _u9369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9368), c_Groups_Oone__class_Oone(_u9368)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9368), _u9369), _u9370))) )).
% 12.29/12.53 cnf(matrix-4329, plain, ( ~class_Rings_Olinordered__semidom(_u9371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9371), c_Groups_Oone__class_Oone(_u9371)), _u9372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9371), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9373)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9374))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9373), _u9374)) )).
% 12.29/12.53 cnf(matrix-4330, plain, ( ~class_Rings_Olinordered__semidom(_u9371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9371), c_Groups_Oone__class_Oone(_u9371)), _u9372)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9373), _u9374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9371), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9373)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9371), _u9372), _u9374))) )).
% 12.29/12.53 cnf(matrix-4331, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u9375) | ( _u9376 = c_Groups_Ozero__class_Ozero(_u9375)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9375), _u9376), _u9377) != c_Groups_Ozero__class_Ozero(_u9375)) )).
% 12.29/12.53 cnf(matrix-4332, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u9378) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-4333, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9381), _u9383) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9383 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9381 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-4334, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9382), _u9384) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9384 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4335, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9382), _u9384) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9382 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-4336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9385)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9385), _u9386)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9385), _u9387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9386), _u9387)) )).
% 12.29/12.53 cnf(matrix-4337, 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), _u9390), _u9392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9390)) | ( _u9392 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4338, 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), _u9391), _u9393))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9391)) )).
% 12.29/12.53 cnf(matrix-4339, 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), _u9391), _u9393))) | ( _u9393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4340, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9394) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9394), _u9395), _u9396)), _u9397) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9394), hAPP(hAPP(c_Power_Opower__class_Opower(_u9394), _u9395), _u9397)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9394), _u9396), _u9397))) )).
% 12.29/12.53 cnf(matrix-4341, plain, ( ~class_Groups_Omonoid__mult(_u9398) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9398), hAPP(hAPP(c_Power_Opower__class_Opower(_u9398), _u9399), _u9400)), _u9399) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9398), _u9399), hAPP(hAPP(c_Power_Opower__class_Opower(_u9398), _u9399), _u9400))) )).
% 12.29/12.53 cnf(matrix-4342, plain, ( ~class_Groups_Omonoid__mult(_u9401) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9401), c_Groups_Oone__class_Oone(_u9401)), _u9402) = c_Groups_Oone__class_Oone(_u9401)) )).
% 12.29/12.53 cnf(matrix-4343, plain, ( ~class_Rings_Osemiring__1(_u9403) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9403), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u9404), _u9405)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9403), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9403), _u9404)), _u9405)) )).
% 12.29/12.53 cnf(matrix-4344, plain, ( ~class_Groups_Omonoid__mult(_u9406) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9406), _u9407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9408), _u9409)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9406), hAPP(hAPP(c_Power_Opower__class_Opower(_u9406), _u9407), _u9408)), _u9409)) )).
% 12.29/12.53 cnf(matrix-4345, plain, ( ~class_Fields_Ofield__inverse__zero(_u9410) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9410), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9410), _u9411), _u9412)), _u9413) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9410), hAPP(hAPP(c_Power_Opower__class_Opower(_u9410), _u9411), _u9413)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9410), _u9412), _u9413))) )).
% 12.29/12.53 cnf(matrix-4346, plain, ( ~class_Rings_Olinordered__idom(_u9414) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9414), hAPP(hAPP(c_Power_Opower__class_Opower(_u9414), _u9415), _u9416)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9414), hAPP(c_Groups_Oabs__class_Oabs(_u9414), _u9415)), _u9416)) )).
% 12.29/12.53 cnf(matrix-4347, plain, ( ~class_Groups_Omonoid__mult(_u9417) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9417), _u9418), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u9418) )).
% 12.29/12.53 cnf(matrix-4348, plain, ( ~class_Rings_Olinordered__semidom(_u9419) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9419), c_Groups_Ozero__class_Ozero(_u9419)), _u9420)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9419), c_Groups_Ozero__class_Ozero(_u9419)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9419), _u9420), _u9421))) )).
% 12.29/12.53 cnf(matrix-4349, plain, ( ~class_Rings_Olinordered__semidom(_u9422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), _u9423), _u9424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), c_Groups_Ozero__class_Ozero(_u9422)), _u9423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9422), hAPP(hAPP(c_Power_Opower__class_Opower(_u9422), _u9423), _u9425)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9422), _u9424), _u9425))) )).
% 12.29/12.53 cnf(matrix-4350, plain, ( ~class_Rings_Olinordered__semidom(_u9426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9426), c_Groups_Ozero__class_Ozero(_u9426)), _u9427)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9426), c_Groups_Ozero__class_Ozero(_u9426)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9426), _u9427), _u9428))) )).
% 12.29/12.53 cnf(matrix-4351, plain, ( ~class_Power_Opower(_u9429) | ~class_Rings_Omult__zero(_u9429) | ~class_Rings_Ono__zero__divisors(_u9429) | ~class_Rings_Ozero__neq__one(_u9429) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9429), _u9430), _u9431) != c_Groups_Ozero__class_Ozero(_u9429)) | ( _u9430 = c_Groups_Ozero__class_Ozero(_u9429)) )).
% 12.29/12.53 cnf(matrix-4352, plain, ( ~class_Power_Opower(_u9429) | ~class_Rings_Omult__zero(_u9429) | ~class_Rings_Ono__zero__divisors(_u9429) | ~class_Rings_Ozero__neq__one(_u9429) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9429), _u9430), _u9431) != c_Groups_Ozero__class_Ozero(_u9429)) | ( _u9431 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4353, plain, ( ~class_Power_Opower(_u9429) | ~class_Rings_Omult__zero(_u9429) | ~class_Rings_Ono__zero__divisors(_u9429) | ~class_Rings_Ozero__neq__one(_u9429) | ( _u9430 != c_Groups_Ozero__class_Ozero(_u9429)) | ( _u9431 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9429), _u9430), _u9431) = c_Groups_Ozero__class_Ozero(_u9429)) )).
% 12.29/12.53 cnf(matrix-4354, plain, ( ~class_Rings_Olinordered__semidom(_u9432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9432), c_Groups_Oone__class_Oone(_u9432)), _u9433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9432), c_Groups_Oone__class_Oone(_u9432)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9432), _u9433), _u9434))) )).
% 12.29/12.53 cnf(matrix-4355, plain, ( ~class_Power_Opower(_u9435) | ~class_Rings_Osemiring__0(_u9435) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9435), c_Groups_Ozero__class_Ozero(_u9435)), hAPP(c_Nat_OSuc, _u9436)) = c_Groups_Ozero__class_Ozero(_u9435)) )).
% 12.29/12.53 cnf(matrix-4356, plain, ( ~class_Rings_Olinordered__semidom(_u9437) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9437), c_Groups_Oone__class_Oone(_u9437)), _u9438)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9439) != hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9440)) | ( _u9439 = _u9440) )).
% 12.29/12.53 cnf(matrix-4357, plain, ( ~class_Rings_Olinordered__semidom(_u9437) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9437), c_Groups_Oone__class_Oone(_u9437)), _u9438)) | ( _u9439 != _u9440) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9439) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9437), _u9438), _u9440)) )).
% 12.29/12.53 cnf(matrix-4358, plain, ( ~class_Power_Opower(_u9441) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9441), _u9442), hAPP(c_Nat_OSuc, _u9443)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9441), _u9442), hAPP(hAPP(c_Power_Opower__class_Opower(_u9441), _u9442), _u9443))) )).
% 12.29/12.53 cnf(matrix-4359, plain, ( ~class_Groups_Omonoid__mult(_u9444) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9444), _u9445), hAPP(c_Nat_OSuc, _u9446)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9444), hAPP(hAPP(c_Power_Opower__class_Opower(_u9444), _u9445), _u9446)), _u9445)) )).
% 12.29/12.53 cnf(matrix-4360, 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))), _u9447)) | 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), _u9447), _u9448))) )).
% 12.29/12.53 cnf(matrix-4361, plain, ( ~class_Power_Opower(_u9449) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9449), _u9450), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u9449)) )).
% 12.29/12.53 cnf(matrix-4362, plain, ( ~class_Groups_Omonoid__mult(_u9451) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9451), _u9452), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9453), _u9454)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9451), hAPP(hAPP(c_Power_Opower__class_Opower(_u9451), _u9452), _u9453)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9451), _u9452), _u9454))) )).
% 12.29/12.53 cnf(matrix-4363, plain, ( ~class_Fields_Ofield(_u9455) | ( _u9456 = c_Groups_Ozero__class_Ozero(_u9455)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9455), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9455), _u9457), _u9456)), _u9458) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9455), hAPP(hAPP(c_Power_Opower__class_Opower(_u9455), _u9457), _u9458)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9455), _u9456), _u9458))) )).
% 12.29/12.53 cnf(matrix-4364, plain, ( ~class_Fields_Ofield__inverse__zero(_u9459) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9459), c_Groups_Oone__class_Oone(_u9459)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9459), _u9460), _u9461)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9459), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9459), c_Groups_Oone__class_Oone(_u9459)), _u9460)), _u9461)) )).
% 12.29/12.53 cnf(matrix-4365, plain, ( ~class_Rings_Olinordered__idom(_u9462) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9462), hAPP(hAPP(c_Power_Opower__class_Opower(_u9462), hAPP(c_Groups_Ouminus__class_Ouminus(_u9462), _u9463)), _u9464)) = hAPP(c_Groups_Oabs__class_Oabs(_u9462), hAPP(hAPP(c_Power_Opower__class_Opower(_u9462), _u9463), _u9464))) )).
% 12.29/12.53 cnf(matrix-4366, plain, ( ~class_Rings_Olinordered__semidom(_u9465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9465), hAPP(hAPP(c_Power_Opower__class_Opower(_u9465), _u9466), _u9467)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9465), _u9468), _u9467))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9465), c_Groups_Ozero__class_Ozero(_u9465)), _u9468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9465), _u9466), _u9468)) )).
% 12.29/12.53 cnf(matrix-4367, plain, ( ~class_Rings_Olinordered__semidom(_u9469) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9469), _u9470), hAPP(c_Nat_OSuc, _u9471)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u9469), _u9472), hAPP(c_Nat_OSuc, _u9471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9469), c_Groups_Ozero__class_Ozero(_u9469)), _u9470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9469), c_Groups_Ozero__class_Ozero(_u9469)), _u9472)) | ( _u9470 = _u9472) )).
% 12.29/12.53 cnf(matrix-4368, plain, ( ~class_Rings_Olinordered__semidom(_u9473) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9473), hAPP(hAPP(c_Power_Opower__class_Opower(_u9473), _u9474), hAPP(c_Nat_OSuc, _u9475))), hAPP(hAPP(c_Power_Opower__class_Opower(_u9473), _u9476), hAPP(c_Nat_OSuc, _u9475)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9473), c_Groups_Ozero__class_Ozero(_u9473)), _u9476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9473), _u9474), _u9476)) )).
% 12.29/12.53 cnf(matrix-4369, plain, ( ~class_Rings_Olinordered__semidom(_u9477) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9477), c_Groups_Oone__class_Oone(_u9477)), _u9478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9477), hAPP(hAPP(c_Power_Opower__class_Opower(_u9477), _u9478), _u9479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9477), _u9478), hAPP(hAPP(c_Power_Opower__class_Opower(_u9477), _u9478), _u9479)))) )).
% 12.29/12.53 cnf(matrix-4370, plain, ( ~class_Rings_Olinordered__semidom(_u9480) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9480), c_Groups_Oone__class_Oone(_u9480)), _u9481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9480), c_Groups_Oone__class_Oone(_u9480)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9480), _u9481), hAPP(hAPP(c_Power_Opower__class_Opower(_u9480), _u9481), _u9482)))) )).
% 12.29/12.53 cnf(matrix-4371, plain, ( ~class_Power_Opower(_u9483) | ~class_Rings_Osemiring__0(_u9483) | ( _u9484 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9483), c_Groups_Ozero__class_Ozero(_u9483)), _u9484) = c_Groups_Oone__class_Oone(_u9483)) )).
% 12.29/12.53 cnf(matrix-4372, plain, ( ~class_Power_Opower(_u9483) | ~class_Rings_Osemiring__0(_u9483) | ( _u9484 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9483), c_Groups_Ozero__class_Ozero(_u9483)), _u9484) = c_Groups_Ozero__class_Ozero(_u9483)) )).
% 12.29/12.53 cnf(matrix-4373, plain, ( ~class_Rings_Olinordered__semidom(_u9485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9485), c_Groups_Oone__class_Oone(_u9485)), _u9486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9485), c_Groups_Oone__class_Oone(_u9485)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9485), _u9486), hAPP(c_Nat_OSuc, _u9487)))) )).
% 12.29/12.53 cnf(matrix-4374, plain, ( ~class_Rings_Olinordered__semidom(_u9488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), c_Groups_Oone__class_Oone(_u9488)), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9490)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9491))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9490), _u9491)) )).
% 12.29/12.53 cnf(matrix-4375, plain, ( ~class_Rings_Olinordered__semidom(_u9488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), c_Groups_Oone__class_Oone(_u9488)), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9490), _u9491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9488), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9490)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9488), _u9489), _u9491))) )).
% 12.29/12.53 cnf(matrix-4376, plain, ( ~class_Rings_Olinordered__semidom(_u9492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9492), c_Groups_Oone__class_Oone(_u9492)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9492), hAPP(hAPP(c_Power_Opower__class_Opower(_u9492), _u9493), _u9494)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9492), _u9493), _u9495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9494), _u9495)) )).
% 12.29/12.53 cnf(matrix-4377, plain, ( ~class_Rings_Olinordered__semidom(_u9496) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9497), _u9498)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9496), c_Groups_Oone__class_Oone(_u9496)), _u9499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9496), hAPP(hAPP(c_Power_Opower__class_Opower(_u9496), _u9499), _u9497)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9496), _u9499), _u9498))) )).
% 12.29/12.53 cnf(matrix-4378, plain, ( ~class_Rings_Olinordered__idom(_u9500) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9500), c_Groups_Ozero__class_Ozero(_u9500)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9500), hAPP(c_Groups_Oabs__class_Oabs(_u9500), _u9501)), _u9502))) )).
% 12.29/12.53 cnf(matrix-4379, plain, ( ~class_Rings_Olinordered__semidom(_u9503) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9504), _u9505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9503), c_Groups_Oone__class_Oone(_u9503)), _u9506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9503), hAPP(hAPP(c_Power_Opower__class_Opower(_u9503), _u9506), _u9504)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9503), _u9506), _u9505))) )).
% 12.29/12.53 cnf(matrix-4380, plain, ( ~class_Rings_Oring__1(_u9507) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9507), hAPP(c_Groups_Ouminus__class_Ouminus(_u9507), _u9508)), _u9509) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9507), hAPP(hAPP(c_Power_Opower__class_Opower(_u9507), hAPP(c_Groups_Ouminus__class_Ouminus(_u9507), c_Groups_Oone__class_Oone(_u9507))), _u9509)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9507), _u9508), _u9509))) )).
% 12.29/12.53 cnf(matrix-4381, plain, ( ~class_Rings_Olinordered__semidom(_u9510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9510), c_Groups_Ozero__class_Ozero(_u9510)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9510), _u9511), c_Groups_Oone__class_Oone(_u9510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9510), _u9511), hAPP(hAPP(c_Power_Opower__class_Opower(_u9510), _u9511), _u9512))), hAPP(hAPP(c_Power_Opower__class_Opower(_u9510), _u9511), _u9512))) )).
% 12.29/12.53 cnf(matrix-4382, plain, ( ~class_Rings_Olinordered__semidom(_u9513) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9513), _u9514), _u9515) != hAPP(hAPP(c_Power_Opower__class_Opower(_u9513), _u9516), _u9515)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9513), c_Groups_Ozero__class_Ozero(_u9513)), _u9514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9513), c_Groups_Ozero__class_Ozero(_u9513)), _u9516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9515)) | ( _u9514 = _u9516) )).
% 12.29/12.53 cnf(matrix-4383, plain, ( ~class_Rings_Olinordered__semidom(_u9517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9517), c_Groups_Ozero__class_Ozero(_u9517)), _u9518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9517), _u9518), c_Groups_Oone__class_Oone(_u9517))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9517), hAPP(hAPP(c_Power_Opower__class_Opower(_u9517), _u9518), hAPP(c_Nat_OSuc, _u9519))), c_Groups_Oone__class_Oone(_u9517))) )).
% 12.29/12.53 cnf(matrix-4384, plain, ( ~class_Rings_Olinordered__semidom(_u9520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9521), _u9522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9520), c_Groups_Ozero__class_Ozero(_u9520)), _u9523)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9520), _u9523), c_Groups_Oone__class_Oone(_u9520))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9520), hAPP(hAPP(c_Power_Opower__class_Opower(_u9520), _u9523), _u9522)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9520), _u9523), _u9521))) )).
% 12.29/12.53 cnf(matrix-4385, plain, ( ~class_Rings_Olinordered__semidom(_u9524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9525), _u9526)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), c_Groups_Ozero__class_Ozero(_u9524)), _u9527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), _u9527), c_Groups_Oone__class_Oone(_u9524))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9527), _u9526)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9524), _u9527), _u9525))) )).
% 12.29/12.53 cnf(matrix-4386, plain, ( ~class_Rings_Olinordered__semidom(_u9528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9528), c_Groups_Oone__class_Oone(_u9528)), _u9529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9528), hAPP(hAPP(c_Power_Opower__class_Opower(_u9528), _u9529), _u9530)), hAPP(hAPP(c_Power_Opower__class_Opower(_u9528), _u9529), _u9531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9530), _u9531)) )).
% 12.29/12.53 cnf(matrix-4387, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) )).
% 12.29/12.53 cnf(matrix-4388, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) )).
% 12.29/12.53 cnf(matrix-4389, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4390, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4391, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4392, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4393, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), c_Groups_Ozero__class_Ozero(_u9532)), _u9535)) )).
% 12.29/12.53 cnf(matrix-4394, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4395, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9532), _u9535), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4396, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9532) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9532), _u9534), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535)), _u9534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9534), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9532), _u9533), _u9535))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9532), _u9533), c_Groups_Ozero__class_Ozero(_u9532))) )).
% 12.29/12.53 cnf(matrix-4397, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) )).
% 12.29/12.53 cnf(matrix-4398, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) )).
% 12.29/12.53 cnf(matrix-4399, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.29/12.53 cnf(matrix-4400, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.29/12.53 cnf(matrix-4401, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) )).
% 12.29/12.53 cnf(matrix-4402, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.29/12.53 cnf(matrix-4403, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9538)) )).
% 12.29/12.53 cnf(matrix-4404, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.29/12.53 cnf(matrix-4405, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9536), _u9538), c_Groups_Ozero__class_Ozero(_u9536))) )).
% 12.29/12.53 cnf(matrix-4406, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9536), _u9537), _u9538)), _u9539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), _u9537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9536), _u9539), _u9538)), _u9537)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9536), c_Groups_Ozero__class_Ozero(_u9536)), _u9539)) )).
% 12.29/12.53 cnf(matrix-4407, plain, ( ~class_Fields_Olinordered__field(_u9540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9540), c_Groups_Ozero__class_Ozero(_u9540)), _u9541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), _u9542), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9540), _u9543), _u9541))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9540), _u9542), _u9541)), _u9543)) )).
% 12.29/12.53 cnf(matrix-4408, plain, ( ~class_Fields_Olinordered__field(_u9540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9540), c_Groups_Ozero__class_Ozero(_u9540)), _u9541)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9540), _u9542), _u9541)), _u9543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), _u9542), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9540), _u9543), _u9541))) )).
% 12.29/12.53 cnf(matrix-4409, plain, ( ~class_Fields_Olinordered__field(_u9544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9544), c_Groups_Ozero__class_Ozero(_u9544)), _u9545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9544), _u9546), _u9545)), _u9547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), _u9546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9544), _u9547), _u9545))) )).
% 12.29/12.53 cnf(matrix-4410, plain, ( ~class_Fields_Olinordered__field(_u9544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9544), c_Groups_Ozero__class_Ozero(_u9544)), _u9545)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), _u9546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9544), _u9547), _u9545))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9544), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9544), _u9546), _u9545)), _u9547)) )).
% 12.29/12.53 cnf(matrix-4411, plain, ( ~class_Fields_Ofield__inverse__zero(_u9548) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9548), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9548), _u9549), _u9550)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9548), _u9551), _u9552)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9548), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9548), _u9549), _u9551)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9548), _u9550), _u9552))) )).
% 12.29/12.53 cnf(matrix-4412, plain, ( ~class_Fields_Ofield__inverse__zero(_u9553) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9553), hAPP(c_Groups_Ouminus__class_Ouminus(_u9553), _u9554)), hAPP(c_Groups_Ouminus__class_Ouminus(_u9553), _u9555)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9553), _u9554), _u9555)) )).
% 12.29/12.53 cnf(matrix-4413, plain, ( ~class_Fields_Ofield__inverse__zero(_u9556) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9556), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9556), _u9557), _u9558)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9556), _u9557), hAPP(c_Groups_Ouminus__class_Ouminus(_u9556), _u9558))) )).
% 12.29/12.53 cnf(matrix-4414, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9559) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9559), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9559), _u9560), _u9561)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9559), hAPP(c_Groups_Oabs__class_Oabs(_u9559), _u9560)), hAPP(c_Groups_Oabs__class_Oabs(_u9559), _u9561))) )).
% 12.29/12.53 cnf(matrix-4415, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9562), _u9563), _u9564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9562), _u9565), c_Groups_Ozero__class_Ozero(_u9562))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9562), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9562), _u9564), _u9565)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9562), _u9563), _u9565))) )).
% 12.29/12.53 cnf(matrix-4416, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9566), _u9567), _u9568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9566), c_Groups_Ozero__class_Ozero(_u9566)), _u9569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9566), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9566), _u9567), _u9569)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9566), _u9568), _u9569))) )).
% 12.29/12.53 cnf(matrix-4417, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9571), c_Groups_Ozero__class_Ozero(_u9570))) )).
% 12.29/12.53 cnf(matrix-4418, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9572)) )).
% 12.29/12.53 cnf(matrix-4419, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9572), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9571), c_Groups_Ozero__class_Ozero(_u9570))) )).
% 12.29/12.53 cnf(matrix-4420, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9572), c_Groups_Ozero__class_Ozero(_u9570))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9572)) )).
% 12.29/12.53 cnf(matrix-4421, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9571)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9572), c_Groups_Ozero__class_Ozero(_u9570))) )).
% 12.29/12.53 cnf(matrix-4422, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9570) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9570), _u9571), _u9572)), c_Groups_Ozero__class_Ozero(_u9570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), _u9571), c_Groups_Ozero__class_Ozero(_u9570))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9570), c_Groups_Ozero__class_Ozero(_u9570)), _u9572)) )).
% 12.29/12.53 cnf(matrix-4423, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9574), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.29/12.53 cnf(matrix-4424, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9574)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9575), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.29/12.53 cnf(matrix-4425, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9574), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.29/12.53 cnf(matrix-4426, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9575)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9575), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.29/12.53 cnf(matrix-4427, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9574)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), _u9575)) )).
% 12.29/12.53 cnf(matrix-4428, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9573) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), c_Groups_Ozero__class_Ozero(_u9573)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9573), _u9574), _u9575))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9574), c_Groups_Ozero__class_Ozero(_u9573))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9573), _u9575), c_Groups_Ozero__class_Ozero(_u9573))) )).
% 12.29/12.53 cnf(matrix-4429, plain, ( ~class_Fields_Olinordered__field(_u9576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9577), _u9578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9579), c_Groups_Ozero__class_Ozero(_u9576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9576), _u9578), _u9579)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9576), _u9577), _u9579))) )).
% 12.29/12.53 cnf(matrix-4430, plain, ( ~class_Fields_Olinordered__field(_u9580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9580), _u9581), _u9582)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9580), c_Groups_Ozero__class_Ozero(_u9580)), _u9583)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9580), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9580), _u9581), _u9583)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9580), _u9582), _u9583))) )).
% 12.29/12.53 cnf(matrix-4431, plain, ( ~class_Fields_Olinordered__field(_u9584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9584), _u9585), c_Groups_Ozero__class_Ozero(_u9584))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9584), _u9586), c_Groups_Ozero__class_Ozero(_u9584))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9584), c_Groups_Ozero__class_Ozero(_u9584)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9584), _u9585), _u9586))) )).
% 12.29/12.53 cnf(matrix-4432, plain, ( ~class_Fields_Olinordered__field(_u9587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9587), _u9588), c_Groups_Ozero__class_Ozero(_u9587))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9587), c_Groups_Ozero__class_Ozero(_u9587)), _u9589)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9587), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9587), _u9588), _u9589)), c_Groups_Ozero__class_Ozero(_u9587))) )).
% 12.29/12.53 cnf(matrix-4433, plain, ( ~class_Fields_Olinordered__field(_u9590) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9590), c_Groups_Ozero__class_Ozero(_u9590)), _u9591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9590), _u9592), c_Groups_Ozero__class_Ozero(_u9590))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9590), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9590), _u9591), _u9592)), c_Groups_Ozero__class_Ozero(_u9590))) )).
% 12.29/12.53 cnf(matrix-4434, plain, ( ~class_Fields_Olinordered__field(_u9593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9593), c_Groups_Ozero__class_Ozero(_u9593)), _u9594)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9593), c_Groups_Ozero__class_Ozero(_u9593)), _u9595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9593), c_Groups_Ozero__class_Ozero(_u9593)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9593), _u9594), _u9595))) )).
% 12.29/12.53 cnf(matrix-4435, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9597), c_Groups_Ozero__class_Ozero(_u9596))) )).
% 12.29/12.53 cnf(matrix-4436, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9598)) )).
% 12.29/12.53 cnf(matrix-4437, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9598), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9597), c_Groups_Ozero__class_Ozero(_u9596))) )).
% 12.29/12.53 cnf(matrix-4438, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9598), c_Groups_Ozero__class_Ozero(_u9596))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9598)) )).
% 12.29/12.53 cnf(matrix-4439, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9597)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9598), c_Groups_Ozero__class_Ozero(_u9596))) )).
% 12.29/12.53 cnf(matrix-4440, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9596) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9596), _u9597), _u9598)), c_Groups_Ozero__class_Ozero(_u9596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), _u9597), c_Groups_Ozero__class_Ozero(_u9596))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9596), c_Groups_Ozero__class_Ozero(_u9596)), _u9598)) )).
% 12.29/12.53 cnf(matrix-4441, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.29/12.53 cnf(matrix-4442, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9601), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.29/12.53 cnf(matrix-4443, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.29/12.53 cnf(matrix-4444, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9601), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.29/12.53 cnf(matrix-4445, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), _u9601)) )).
% 12.29/12.53 cnf(matrix-4446, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9599) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), c_Groups_Ozero__class_Ozero(_u9599)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9599), _u9600), _u9601))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9600), c_Groups_Ozero__class_Ozero(_u9599))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9599), _u9601), c_Groups_Ozero__class_Ozero(_u9599))) )).
% 12.29/12.53 cnf(matrix-4447, plain, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( _u9605 = c_Groups_Ozero__class_Ozero(_u9602)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9602), _u9603), _u9605) = _u9604) )).
% 12.29/12.53 cnf(matrix-4448, plain, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( _u9605 != c_Groups_Ozero__class_Ozero(_u9602)) | ( _u9603 = c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.29/12.53 cnf(matrix-4449, plain, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( _u9605 != c_Groups_Ozero__class_Ozero(_u9602)) | ( _u9603 != c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.29/12.53 cnf(matrix-4450, plain, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9602), _u9603), _u9605) != _u9604) | ( _u9605 = c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.29/12.53 cnf(matrix-4451, plain, ( ~class_Fields_Ofield__inverse__zero(_u9602) | ( _u9603 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9602), _u9604), _u9605)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9602), _u9603), _u9605) != _u9604) | ( _u9603 != c_Groups_Ozero__class_Ozero(_u9602)) )).
% 12.29/12.53 cnf(matrix-4452, plain, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) != _u9609) | ( _u9608 = c_Groups_Ozero__class_Ozero(_u9606)) | ( _u9607 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9606), _u9609), _u9608)) )).
% 12.29/12.53 cnf(matrix-4453, plain, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) != _u9609) | ( _u9608 != c_Groups_Ozero__class_Ozero(_u9606)) | ( _u9609 = c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.29/12.53 cnf(matrix-4454, plain, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) = _u9609) | ( _u9608 != c_Groups_Ozero__class_Ozero(_u9606)) | ( _u9609 != c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.29/12.53 cnf(matrix-4455, plain, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) = _u9609) | ( _u9607 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9606), _u9609), _u9608)) | ( _u9608 = c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.29/12.53 cnf(matrix-4456, plain, ( ~class_Fields_Ofield__inverse__zero(_u9606) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9606), _u9607), _u9608) = _u9609) | ( _u9607 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9606), _u9609), _u9608)) | ( _u9609 != c_Groups_Ozero__class_Ozero(_u9606)) )).
% 12.29/12.53 cnf(matrix-4457, plain, ( ~class_Fields_Ofield__inverse__zero(_u9610) | ( _u9611 = c_Groups_Ozero__class_Ozero(_u9610)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9610), _u9612), _u9611)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9610), _u9613), _u9611)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9610), _u9612), _u9613)) )).
% 12.29/12.53 cnf(matrix-4458, plain, ( ~class_Fields_Ofield__inverse__zero(_u9614) | ( _u9615 = c_Groups_Ozero__class_Ozero(_u9614)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9614), _u9615), _u9616)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9614), _u9615), _u9617)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9614), _u9616), _u9617)) )).
% 12.29/12.53 cnf(matrix-4459, plain, ( ~class_Fields_Ofield(_u9618) | ( _u9619 = c_Groups_Ozero__class_Ozero(_u9618)) | ( _u9620 = c_Groups_Ozero__class_Ozero(_u9618)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9621), _u9619) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9622), _u9620)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9621), _u9620) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9622), _u9619)) )).
% 12.29/12.53 cnf(matrix-4460, plain, ( ~class_Fields_Ofield(_u9618) | ( _u9619 = c_Groups_Ozero__class_Ozero(_u9618)) | ( _u9620 = c_Groups_Ozero__class_Ozero(_u9618)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9621), _u9620) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9618), _u9622), _u9619)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9621), _u9619) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9618), _u9622), _u9620)) )).
% 12.29/12.53 cnf(matrix-4461, plain, ( ~class_Fields_Olinordered__field(_u9623) | ( _u9624 = c_Groups_Ozero__class_Ozero(_u9623)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9623), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9623), _u9625), _u9624)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9623), hAPP(c_Groups_Oabs__class_Oabs(_u9623), _u9625)), hAPP(c_Groups_Oabs__class_Oabs(_u9623), _u9624))) )).
% 12.29/12.53 cnf(matrix-4462, plain, ( ~class_Fields_Olinordered__field(_u9626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9626), c_Groups_Ozero__class_Ozero(_u9626)), _u9627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9626), c_Groups_Ozero__class_Ozero(_u9626)), _u9628)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9626), c_Groups_Ozero__class_Ozero(_u9626)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9626), _u9627), _u9628))) )).
% 12.29/12.53 cnf(matrix-4463, plain, ( ~class_Fields_Olinordered__field(_u9629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9629), c_Groups_Ozero__class_Ozero(_u9629)), _u9630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9629), _u9631), c_Groups_Ozero__class_Ozero(_u9629))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9629), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9629), _u9630), _u9631)), c_Groups_Ozero__class_Ozero(_u9629))) )).
% 12.29/12.53 cnf(matrix-4464, plain, ( ~class_Fields_Olinordered__field(_u9632) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), c_Groups_Ozero__class_Ozero(_u9632)), _u9633)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9632), _u9633), _u9634)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), c_Groups_Ozero__class_Ozero(_u9632)), _u9635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), _u9635), _u9636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9632), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9632), _u9633), _u9636)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9632), _u9634), _u9635))) )).
% 12.29/12.53 cnf(matrix-4465, plain, ( ~class_Fields_Olinordered__field(_u9637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9637), c_Groups_Ozero__class_Ozero(_u9637)), _u9638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9637), _u9638), _u9639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9637), c_Groups_Ozero__class_Ozero(_u9637)), _u9640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9637), _u9640), _u9641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9637), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9637), _u9638), _u9641)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9637), _u9639), _u9640))) )).
% 12.29/12.53 cnf(matrix-4466, plain, ( ~class_Fields_Olinordered__field(_u9642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), c_Groups_Ozero__class_Ozero(_u9642)), _u9643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), _u9643), _u9644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9642), c_Groups_Ozero__class_Ozero(_u9642)), _u9645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), _u9645), _u9646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9642), _u9643), _u9646)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9642), _u9644), _u9645))) )).
% 12.29/12.53 cnf(matrix-4467, plain, ( ~class_Fields_Olinordered__field(_u9647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9647), _u9648), c_Groups_Ozero__class_Ozero(_u9647))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9647), c_Groups_Ozero__class_Ozero(_u9647)), _u9649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9647), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9647), _u9648), _u9649)), c_Groups_Ozero__class_Ozero(_u9647))) )).
% 12.29/12.53 cnf(matrix-4468, plain, ( ~class_Fields_Olinordered__field(_u9650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9650), _u9651), c_Groups_Ozero__class_Ozero(_u9650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9650), _u9652), c_Groups_Ozero__class_Ozero(_u9650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9650), c_Groups_Ozero__class_Ozero(_u9650)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9650), _u9651), _u9652))) )).
% 12.29/12.53 cnf(matrix-4469, plain, ( ~class_Fields_Olinordered__field(_u9653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), _u9654), _u9655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), _u9656), c_Groups_Ozero__class_Ozero(_u9653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), c_Groups_Ozero__class_Ozero(_u9653)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9653), _u9654), _u9655))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9653), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9653), _u9656), _u9654)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9653), _u9656), _u9655))) )).
% 12.29/12.53 cnf(matrix-4470, plain, ( ~class_Fields_Olinordered__field(_u9657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), _u9658), _u9659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), c_Groups_Ozero__class_Ozero(_u9657)), _u9660)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), c_Groups_Ozero__class_Ozero(_u9657)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9657), _u9659), _u9658))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9657), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9657), _u9660), _u9659)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9657), _u9660), _u9658))) )).
% 12.29/12.53 cnf(matrix-4471, plain, ( ~class_Fields_Olinordered__field(_u9661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), _u9662), c_Groups_Ozero__class_Ozero(_u9661))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9661), _u9663), _u9662)), _u9664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9661), _u9664), _u9662)), _u9663)) )).
% 12.29/12.53 cnf(matrix-4472, plain, ( ~class_Fields_Olinordered__field(_u9661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), _u9662), c_Groups_Ozero__class_Ozero(_u9661))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9661), _u9664), _u9662)), _u9663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9661), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9661), _u9663), _u9662)), _u9664)) )).
% 12.29/12.53 cnf(matrix-4473, plain, ( ~class_Fields_Olinordered__field(_u9665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9666), c_Groups_Ozero__class_Ozero(_u9665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9667), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9665), _u9668), _u9666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9665), _u9667), _u9666))) )).
% 12.29/12.53 cnf(matrix-4474, plain, ( ~class_Fields_Olinordered__field(_u9665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9666), c_Groups_Ozero__class_Ozero(_u9665))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9665), _u9667), _u9666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9665), _u9667), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9665), _u9668), _u9666))) )).
% 12.29/12.53 cnf(matrix-4475, plain, ( ~class_Fields_Olinordered__field(_u9669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9669), c_Groups_Ozero__class_Ozero(_u9669)), _u9670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9669), _u9671), _u9670)), _u9672)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9669), _u9671), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9669), _u9672), _u9670))) )).
% 12.29/12.53 cnf(matrix-4476, plain, ( ~class_Fields_Olinordered__field(_u9673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9673), c_Groups_Ozero__class_Ozero(_u9673)), _u9674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9673), _u9675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9673), _u9676), _u9674))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9673), _u9675), _u9674)), _u9676)) )).
% 12.29/12.53 cnf(matrix-4477, plain, ( ~class_Fields_Olinordered__field(_u9677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), c_Groups_Ozero__class_Ozero(_u9677)), _u9678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9677), _u9679), _u9678)), _u9680)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), _u9679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9677), _u9680), _u9678))) )).
% 12.29/12.53 cnf(matrix-4478, plain, ( ~class_Fields_Olinordered__field(_u9677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), c_Groups_Ozero__class_Ozero(_u9677)), _u9678)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), _u9679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9677), _u9680), _u9678))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9677), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9677), _u9679), _u9678)), _u9680)) )).
% 12.29/12.53 cnf(matrix-4479, plain, ( ~class_Fields_Olinordered__field(_u9681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), c_Groups_Ozero__class_Ozero(_u9681)), _u9682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), _u9683), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9681), _u9684), _u9682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9681), _u9683), _u9682)), _u9684)) )).
% 12.29/12.53 cnf(matrix-4480, plain, ( ~class_Fields_Olinordered__field(_u9681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), c_Groups_Ozero__class_Ozero(_u9681)), _u9682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9681), _u9683), _u9682)), _u9684)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9681), _u9683), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9681), _u9684), _u9682))) )).
% 12.29/12.53 cnf(matrix-4481, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) )).
% 12.29/12.53 cnf(matrix-4482, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) )).
% 12.29/12.53 cnf(matrix-4483, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.29/12.53 cnf(matrix-4484, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.29/12.53 cnf(matrix-4485, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) )).
% 12.29/12.53 cnf(matrix-4486, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.29/12.53 cnf(matrix-4487, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9687)) )).
% 12.29/12.53 cnf(matrix-4488, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.29/12.53 cnf(matrix-4489, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9687), c_Groups_Ozero__class_Ozero(_u9685))) )).
% 12.29/12.53 cnf(matrix-4490, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9685) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9685), _u9686), _u9687)), _u9688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), _u9686), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9685), _u9688), _u9687)), _u9686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9685), c_Groups_Ozero__class_Ozero(_u9685)), _u9688)) )).
% 12.29/12.53 cnf(matrix-4491, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) )).
% 12.29/12.53 cnf(matrix-4492, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) )).
% 12.29/12.53 cnf(matrix-4493, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4494, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4495, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4496, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4497, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), c_Groups_Ozero__class_Ozero(_u9689)), _u9692)) )).
% 12.29/12.53 cnf(matrix-4498, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4499, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9692), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4500, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9689) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9689), _u9691), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692)), _u9691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9691), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9689), _u9690), _u9692))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9689), _u9690), c_Groups_Ozero__class_Ozero(_u9689))) )).
% 12.29/12.53 cnf(matrix-4501, plain, ( ~class_Fields_Ofield__inverse__zero(_u9693) | ( _u9694 = c_Groups_Ozero__class_Ozero(_u9693)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9693), _u9695), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9693), _u9696), _u9694)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9693), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9693), _u9696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9693), _u9695), _u9694))), _u9694)) )).
% 12.29/12.53 cnf(matrix-4502, plain, ( ~class_Fields_Ofield(_u9697) | ( _u9698 = c_Groups_Ozero__class_Ozero(_u9697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9697), _u9699), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9697), _u9700), _u9698)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9697), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9697), _u9698), _u9699)), _u9700)), _u9698)) )).
% 12.29/12.53 cnf(matrix-4503, plain, ( ~class_Fields_Ofield__inverse__zero(_u9701) | ( _u9702 = c_Groups_Ozero__class_Ozero(_u9701)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9701), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9701), _u9703), _u9702)), _u9704) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9701), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9701), _u9703), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9701), _u9704), _u9702))), _u9702)) )).
% 12.29/12.53 cnf(matrix-4504, plain, ( ~class_Fields_Ofield(_u9705) | ( _u9706 = c_Groups_Ozero__class_Ozero(_u9705)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9705), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9705), _u9707), _u9706)), _u9708) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9705), _u9707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9705), _u9706), _u9708))), _u9706)) )).
% 12.29/12.53 cnf(matrix-4505, plain, ( ~class_Fields_Ofield(_u9709) | ( _u9710 = c_Groups_Ozero__class_Ozero(_u9709)) | ( _u9711 = c_Groups_Ozero__class_Ozero(_u9709)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9709), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9709), _u9712), _u9710)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9709), _u9713), _u9711)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9709), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9709), _u9712), _u9711)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9709), _u9713), _u9710))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9709), _u9710), _u9711))) )).
% 12.29/12.53 cnf(matrix-4506, plain, ( ~class_Fields_Ofield(_u9714) | ( _u9715 = c_Groups_Ozero__class_Ozero(_u9714)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9714), _u9716), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9714), _u9717), _u9715)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9714), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9714), _u9715), _u9716)), _u9717)), _u9715)) )).
% 12.29/12.53 cnf(matrix-4507, plain, ( ~class_Fields_Ofield(_u9718) | ( _u9719 = c_Groups_Ozero__class_Ozero(_u9718)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9718), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9718), _u9720), _u9719)), _u9721) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9718), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9718), _u9720), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9718), _u9719), _u9721))), _u9719)) )).
% 12.29/12.53 cnf(matrix-4508, plain, ( ~class_Fields_Ofield(_u9722) | ( _u9723 = c_Groups_Ozero__class_Ozero(_u9722)) | ( _u9724 = c_Groups_Ozero__class_Ozero(_u9722)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9722), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), _u9725), _u9723)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), _u9726), _u9724)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9722), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9722), _u9725), _u9724)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9722), _u9726), _u9723))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9722), _u9723), _u9724))) )).
% 12.29/12.53 cnf(matrix-4509, plain, ( ~class_Fields_Olinordered__field(_u9727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9727), _u9728), _u9729)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9727), _u9728), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9727), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9727), _u9728), _u9729)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9727), c_Groups_Oone__class_Oone(_u9727)), c_Groups_Oone__class_Oone(_u9727))))) )).
% 12.29/12.53 cnf(matrix-4510, plain, ( ~class_Fields_Olinordered__field(_u9730) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), _u9731), _u9732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9730), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9730), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9730), _u9731), _u9732)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9730), c_Groups_Oone__class_Oone(_u9730)), c_Groups_Oone__class_Oone(_u9730)))), _u9732)) )).
% 12.29/12.53 cnf(matrix-4511, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9733), c_Groups_Ozero__class_Ozero(_u9733)), _u9734)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9733), hAPP(c_Groups_Oabs__class_Oabs(_u9733), _u9735)), _u9734) = hAPP(c_Groups_Oabs__class_Oabs(_u9733), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9733), _u9735), _u9734))) )).
% 12.29/12.53 cnf(matrix-4512, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9736) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9736), _u9737), _u9738)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9736), _u9739), c_Groups_Ozero__class_Ozero(_u9736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9736), c_Groups_Ozero__class_Ozero(_u9736)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9736), _u9737), _u9738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9736), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9736), _u9739), _u9737)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9736), _u9739), _u9738))) )).
% 12.29/12.53 cnf(matrix-4513, plain, ( ~class_Fields_Olinordered__field(_u9740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9740), _u9741), _u9742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9740), c_Groups_Ozero__class_Ozero(_u9740)), _u9743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9740), c_Groups_Ozero__class_Ozero(_u9740)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9740), _u9742), _u9741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9740), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9740), _u9743), _u9742)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9740), _u9743), _u9741))) )).
% 12.29/12.53 cnf(matrix-4514, plain, ( ~class_Fields_Olinordered__field(_u9744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9744), _u9745), c_Groups_Ozero__class_Ozero(_u9744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9744), _u9746), _u9745)), _u9747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9744), _u9747), _u9745)), _u9746)) )).
% 12.29/12.53 cnf(matrix-4515, plain, ( ~class_Fields_Olinordered__field(_u9744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9744), _u9745), c_Groups_Ozero__class_Ozero(_u9744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9744), _u9747), _u9745)), _u9746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9744), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9744), _u9746), _u9745)), _u9747)) )).
% 12.29/12.53 cnf(matrix-4516, plain, ( ~class_Fields_Olinordered__field(_u9748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9748), _u9749), c_Groups_Ozero__class_Ozero(_u9748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9750), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9748), _u9751), _u9749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9748), _u9750), _u9749))) )).
% 12.29/12.53 cnf(matrix-4517, plain, ( ~class_Fields_Olinordered__field(_u9748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9748), _u9749), c_Groups_Ozero__class_Ozero(_u9748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9748), _u9750), _u9749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9748), _u9750), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9748), _u9751), _u9749))) )).
% 12.29/12.53 cnf(matrix-4518, plain, ( ~class_Fields_Olinordered__field(_u9752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9752), c_Groups_Ozero__class_Ozero(_u9752)), _u9753)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9752), _u9754), _u9753)), _u9755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), _u9754), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9752), _u9755), _u9753))) )).
% 12.29/12.53 cnf(matrix-4519, plain, ( ~class_Fields_Olinordered__field(_u9756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9756), c_Groups_Ozero__class_Ozero(_u9756)), _u9757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9756), _u9758), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9756), _u9759), _u9757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9756), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9756), _u9758), _u9757)), _u9759)) )).
% 12.29/12.53 cnf(matrix-4520, plain, ( ~class_Fields_Ofield(_u9761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9764)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9761), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9763)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9764))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)))) | hBOOL(hAPP(hAPP(c_member(_u9762), skolem249(_u9765, _u9764, _u9763, _u9762, _u9761)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764))) )).
% 12.29/12.53 cnf(matrix-4521, plain, ( ~class_Fields_Ofield(_u9761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9762), _u9764)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9761), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9763)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), _u9764))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9762, _u9761), _u9765), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9762, tc_HOL_Obool)), _u9763), _u9764)))) | ( hAPP(_u9765, skolem249(_u9765, _u9764, _u9763, _u9762, _u9761)) = c_Groups_Ozero__class_Ozero(_u9761)) )).
% 12.29/12.53 cnf(matrix-4522, plain, ( ~class_Power_Opower(_u9766) | ( c_Power_Opower__class_Opower(_u9766) = c_Power_Opower_Opower(_u9766, c_Groups_Oone__class_Oone(_u9766), c_Groups_Otimes__class_Otimes(_u9766))) )).
% 12.29/12.53 cnf(matrix-4523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9768)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9768), _u9767)), _u9768) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9768), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9767), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.29/12.53 cnf(matrix-4524, plain, ( ~class_Orderings_Olinorder(_u9771) | ( hAPP(_u9772, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9771), skolem250(_u9773, _u9772, _u9771)), skolem251(_u9773, _u9772, _u9771))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9771), hAPP(_u9772, skolem250(_u9773, _u9772, _u9771))), hAPP(_u9772, skolem251(_u9773, _u9772, _u9771)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9771), _u9773)) | ( _u9773 = c_Orderings_Obot__class_Obot(tc_fun(_u9771, tc_HOL_Obool))) | ( hAPP(_u9772, c_Big__Operators_Olattice_OInf__fin(_u9771, c_Orderings_Oord__class_Omin(_u9771), _u9773)) = c_Big__Operators_Olattice_OInf__fin(_u9771, c_Orderings_Oord__class_Omin(_u9771), hAPP(c_Set_Oimage(_u9771, _u9771, _u9772), _u9773))) )).
% 12.29/12.53 cnf(matrix-4525, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9774) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4526, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9775), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9776)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9775)), _u9776)) )).
% 12.29/12.53 cnf(matrix-4527, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9777)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9778)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9777), _u9778)) )).
% 12.29/12.53 cnf(matrix-4528, plain, ( ~class_Divides_Osemiring__div(_u9779) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9779), c_Groups_Ozero__class_Ozero(_u9779)), _u9780) = c_Groups_Ozero__class_Ozero(_u9779)) )).
% 12.29/12.53 cnf(matrix-4529, plain, ( ~class_Divides_Osemiring__div(_u9781) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9781), _u9782), c_Groups_Ozero__class_Ozero(_u9781)) = c_Groups_Ozero__class_Ozero(_u9781)) )).
% 12.29/12.53 cnf(matrix-4530, plain, ( ~c_Nat__Transfer_Ois__nat(_u9783) | ~c_Nat__Transfer_Ois__nat(_u9784) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9783), _u9784)) )).
% 12.29/12.53 cnf(matrix-4531, plain, ( ~class_Divides_Osemiring__div(_u9785) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9785), _u9786), c_Groups_Oone__class_Oone(_u9785)) = _u9786) )).
% 12.29/12.53 cnf(matrix-4532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9787)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9788)) | 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), _u9787), _u9788))) )).
% 12.29/12.53 cnf(matrix-4533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9789), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9790)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9789), _u9790)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9792), _u9791)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9792)) )).
% 12.29/12.53 cnf(matrix-4535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9791), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9792), _u9791)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9794), _u9793)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9794), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9793)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9794), 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), _u9794), _u9793)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4538, plain, ( ( _u9795 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9795), _u9795) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4539, plain, ( ~class_Divides_Osemiring__div(_u9796) | ( _u9797 != c_Groups_Ozero__class_Ozero(_u9796)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9798)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9799)) = c_Groups_Ozero__class_Ozero(_u9796)) )).
% 12.29/12.53 cnf(matrix-4540, plain, ( ~class_Divides_Osemiring__div(_u9796) | ( _u9797 = c_Groups_Ozero__class_Ozero(_u9796)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9798)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), _u9797), _u9799)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9796), _u9798), _u9799)) )).
% 12.29/12.53 cnf(matrix-4541, plain, ( ~class_Divides_Osemiring__div(_u9800) | ( _u9801 = c_Groups_Ozero__class_Ozero(_u9800)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9800), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9800), _u9802), _u9801)), _u9801) = _u9802) )).
% 12.29/12.53 cnf(matrix-4542, plain, ( ~class_Divides_Osemiring__div(_u9803) | ( _u9804 = c_Groups_Ozero__class_Ozero(_u9803)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9803), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9803), _u9804), _u9805)), _u9804) = _u9805) )).
% 12.29/12.53 cnf(matrix-4543, plain, ( ~class_Divides_Osemiring__div(_u9806) | ( _u9807 = c_Groups_Ozero__class_Ozero(_u9806)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9806), _u9808), _u9807)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9806), _u9809), _u9807)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9806), _u9808), _u9809)) )).
% 12.29/12.53 cnf(matrix-4544, plain, ( ~class_Divides_Osemiring__div(_u9810) | ( _u9811 = c_Groups_Ozero__class_Ozero(_u9810)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9810), _u9811), _u9812)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9810), _u9811), _u9813)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9810), _u9812), _u9813)) )).
% 12.29/12.53 cnf(matrix-4545, plain, ( ~class_Divides_Osemiring__div(_u9814) | ( _u9815 = c_Groups_Ozero__class_Ozero(_u9814)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9814), _u9815), _u9815) = c_Groups_Oone__class_Oone(_u9814)) )).
% 12.29/12.53 cnf(matrix-4546, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = 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)), _u9818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9818), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4547, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = 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)), _u9818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9820), _u9818)) )).
% 12.29/12.53 cnf(matrix-4548, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9818), _u9820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9818), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4549, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9818), _u9820) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9820 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9818), _u9820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9820), _u9818)) )).
% 12.29/12.53 cnf(matrix-4550, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9819), _u9821) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9821 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4551, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9819), _u9821) = 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)), _u9819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9819), _u9821)) )).
% 12.29/12.53 cnf(matrix-4552, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9819), _u9821) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9819), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9821), _u9819)) )).
% 12.29/12.53 cnf(matrix-4553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9822)) | ~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), _u9823), _u9822))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9823)) )).
% 12.29/12.53 cnf(matrix-4554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9822)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9823)) | 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), _u9823), _u9822))) )).
% 12.29/12.53 cnf(matrix-4555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9824)) | ~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), _u9825), _u9824))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9824), _u9825)) )).
% 12.29/12.53 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9824)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9824), _u9825)) | 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), _u9825), _u9824))) )).
% 12.29/12.53 cnf(matrix-4557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9826)) | ~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), _u9826), _u9827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9827), _u9826)) )).
% 12.29/12.53 cnf(matrix-4558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9826)) | ~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), _u9826), _u9827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9827)) )).
% 12.29/12.53 cnf(matrix-4559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9827), _u9826)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9827)) | 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), _u9826), _u9827))) )).
% 12.29/12.53 cnf(matrix-4560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9829)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9829), _u9830)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9828), _u9830)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9828), _u9829))) )).
% 12.29/12.53 cnf(matrix-4561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9832), 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), _u9831), _u9832)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9833), _u9834)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9833), _u9834) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9835), 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), _u9836), _u9835))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9836), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9835), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9836), 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), _u9836), _u9835))) )).
% 12.29/12.53 cnf(matrix-4565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9837), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9837), _u9838)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9839), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9840), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9839), _u9840)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9839), _u9841))) )).
% 12.29/12.53 cnf(matrix-4567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9842), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9843), _u9842)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9842), _u9843) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9844), _u9845)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9844), _u9846)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9845), _u9846))) )).
% 12.29/12.53 cnf(matrix-4569, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9847), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9849), 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), _u9848), _u9849)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9847), _u9849))) )).
% 12.29/12.53 cnf(matrix-4570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9850)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9851)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9850), _u9851)), _u9850)) )).
% 12.29/12.53 cnf(matrix-4571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9852)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9853), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9854), _u9852)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9853), _u9854)), _u9852)) )).
% 12.29/12.53 cnf(matrix-4572, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9855, _u9856, _u9857), _u9858), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9856) )).
% 12.29/12.53 cnf(matrix-4573, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9859, _u9860, _u9861), _u9862), hAPP(c_Nat_OSuc, _u9863)) = hAPP(hAPP(_u9861, _u9862), hAPP(hAPP(c_Power_Opower_Opower(_u9859, _u9860, _u9861), _u9862), _u9863))) )).
% 12.29/12.53 cnf(matrix-4574, plain, ( ~class_Divides_Osemiring__div(_u9864) | ( _u9865 = c_Groups_Ozero__class_Ozero(_u9864)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9864), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9864), _u9866), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), _u9867), _u9865))), _u9865) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9864), _u9867), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9864), _u9866), _u9865))) )).
% 12.29/12.53 cnf(matrix-4575, plain, ( ~class_Divides_Osemiring__div(_u9868) | ( _u9869 = c_Groups_Ozero__class_Ozero(_u9868)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9868), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), _u9869), _u9871))), _u9869) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9868), _u9871), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9868), _u9870), _u9869))) )).
% 12.29/12.53 cnf(matrix-4576, plain, ( ~class_Divides_Osemiring__div(_u9872) | ( _u9873 = c_Groups_Ozero__class_Ozero(_u9872)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9872), _u9873), _u9874)), _u9873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9872), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9872), _u9874), _u9873)), c_Groups_Oone__class_Oone(_u9872))) )).
% 12.29/12.53 cnf(matrix-4577, plain, ( ~class_Divides_Osemiring__div(_u9875) | ( _u9876 = c_Groups_Ozero__class_Ozero(_u9875)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9875), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9875), _u9877), _u9876)), _u9876) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9875), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9875), _u9877), _u9876)), c_Groups_Oone__class_Oone(_u9875))) )).
% 12.29/12.53 cnf(matrix-4578, plain, ( ( _u9878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9879), _u9880)), _u9881)) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9878), _u9879) = _u9880) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9879), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9881), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4579, plain, ( ( _u9878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9879), _u9880)), _u9881)) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9878), _u9879) = _u9880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9881), _u9879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9879)) )).
% 12.29/12.53 cnf(matrix-4580, plain, ( ( _u9878 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9879), _u9880)), _u9881)) | ( _u9879 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9878), _u9879) = _u9880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9881), _u9879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9879), _u9881)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9881), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4581, plain, ( ~hBOOL(hAPP(_u9893, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9895), _u9897))) | ( _u9897 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9893, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4582, plain, ( ~hBOOL(hAPP(_u9893, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9895), _u9897))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9882), _u9897)) | ( _u9895 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9897), _u9883)), _u9882)) | hBOOL(hAPP(_u9893, _u9883)) )).
% 12.29/12.53 cnf(matrix-4583, plain, ( ~hBOOL(hAPP(_u9893, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9895), _u9897))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9897), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9897), _u9884)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9884), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9895 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9897), _u9885)), _u9884)) | hBOOL(hAPP(_u9893, _u9885)) )).
% 12.29/12.53 cnf(matrix-4584, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4585, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4586, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4587, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4588, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4589, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4590, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4591, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4592, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4593, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4594, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4595, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4596, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4597, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4598, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4599, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4600, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4601, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4602, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4603, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4604, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4605, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4606, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4607, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4608, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4609, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4610, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4611, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4612, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4613, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ( _u9898 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4614, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4615, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4616, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4617, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4618, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9898), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4619, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4620, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4621, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4622, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4623, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem255(_u9898, _u9896, _u9894)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4624, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4625, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4626, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4627, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4628, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem254(_u9898, _u9896, _u9894))), skolem255(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4629, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4630, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, 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)), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4631, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem253(_u9898, _u9896, _u9894)), _u9898)) )).
% 12.29/12.53 cnf(matrix-4632, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9898), skolem252(_u9898, _u9896, _u9894))), skolem253(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4633, plain, ( hBOOL(hAPP(_u9894, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9896), _u9898))) | ~hBOOL(hAPP(_u9894, skolem254(_u9898, _u9896, _u9894))) | ~hBOOL(hAPP(_u9894, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9894, skolem252(_u9898, _u9896, _u9894))) )).
% 12.29/12.53 cnf(matrix-4634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9901)) | ( c_SMT_Oz3div(_u9903, _u9901) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9903), _u9901)) )).
% 12.29/12.53 cnf(matrix-4635, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9902)) | ( c_SMT_Oz3div(_u9904, _u9902) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9904), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9902)))) )).
% 12.29/12.53 cnf(matrix-4636, plain, ( ~class_Orderings_Olinorder(_u9907) | ( hAPP(_u9908, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9907), skolem256(_u9909, _u9908, _u9907)), skolem257(_u9909, _u9908, _u9907))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9907), hAPP(_u9908, skolem256(_u9909, _u9908, _u9907))), hAPP(_u9908, skolem257(_u9909, _u9908, _u9907)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9907), _u9909)) | ( _u9909 = c_Orderings_Obot__class_Obot(tc_fun(_u9907, tc_HOL_Obool))) | ( hAPP(_u9908, c_Big__Operators_Olinorder__class_OMax(_u9907, _u9909)) = c_Big__Operators_Olinorder__class_OMax(_u9907, hAPP(c_Set_Oimage(_u9907, _u9907, _u9908), _u9909))) )).
% 12.29/12.53 cnf(matrix-4637, plain, ( ~class_Orderings_Olinorder(_u9912) | ( hAPP(_u9913, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9912), skolem258(_u9914, _u9913, _u9912)), skolem259(_u9914, _u9913, _u9912))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9912), hAPP(_u9913, skolem258(_u9914, _u9913, _u9912))), hAPP(_u9913, skolem259(_u9914, _u9913, _u9912)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9912), _u9914)) | ( _u9914 = c_Orderings_Obot__class_Obot(tc_fun(_u9912, tc_HOL_Obool))) | ( hAPP(_u9913, c_Big__Operators_Olinorder__class_OMin(_u9912, _u9914)) = c_Big__Operators_Olinorder__class_OMin(_u9912, hAPP(c_Set_Oimage(_u9912, _u9912, _u9913), _u9914))) )).
% 12.29/12.53 cnf(matrix-4638, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9916) | ~c_Fun_Oinj__on(_u9917, _u9918, _u9919, _u9920) | ( _u9921 != hAPP(c_Set_Oimage(_u9917, _u9918, _u9919), _u9920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9918, _u9916), _u9923), _u9921) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9917, _u9916), _u9922), _u9920)) | hBOOL(hAPP(hAPP(c_member(_u9917), skolem260(_u9923, _u9922, _u9921, _u9920, _u9919, _u9918, _u9917, _u9916)), _u9920)) )).
% 12.29/12.53 cnf(matrix-4639, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9916) | ~c_Fun_Oinj__on(_u9917, _u9918, _u9919, _u9920) | ( _u9921 != hAPP(c_Set_Oimage(_u9917, _u9918, _u9919), _u9920)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9918, _u9916), _u9923), _u9921) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9917, _u9916), _u9922), _u9920)) | ( hAPP(_u9922, skolem260(_u9923, _u9922, _u9921, _u9920, _u9919, _u9918, _u9917, _u9916)) != hAPP(hAPP(c_Fun_Ocomp(_u9918, _u9916, _u9917, _u9923), _u9919), skolem260(_u9923, _u9922, _u9921, _u9920, _u9919, _u9918, _u9917, _u9916))) )).
% 12.29/12.53 cnf(matrix-4640, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9924), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9925), _u9926)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9924), _u9925)), _u9926)) )).
% 12.29/12.53 cnf(matrix-4641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9927), _u9928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9927), _u9929)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9928), _u9929))) )).
% 12.29/12.53 cnf(matrix-4642, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9930), _u9931)), _u9930)) )).
% 12.29/12.53 cnf(matrix-4643, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9932), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u9932) )).
% 12.29/12.53 cnf(matrix-4644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9933), _u9934)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9933), _u9934) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4645, plain, ( ( _u9938 != 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), _u9938), _u9940)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9938), _u9942)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4646, plain, ( ( _u9939 = 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), _u9939), _u9941)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9939), _u9943)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9941), _u9943)) )).
% 12.29/12.53 cnf(matrix-4647, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9944), _u9945)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9944)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9945))) )).
% 12.29/12.53 cnf(matrix-4648, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9946)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9947)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9946), _u9947))) )).
% 12.29/12.53 cnf(matrix-4649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9948), _u9949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9950), _u9949)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9950), _u9948))) )).
% 12.29/12.53 cnf(matrix-4650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9951)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9951), _u9952)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9951), _u9953)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9952), _u9953)) )).
% 12.29/12.53 cnf(matrix-4651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9954)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9954), _u9955)), _u9954) = _u9955) )).
% 12.29/12.53 cnf(matrix-4652, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9956)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9957), _u9956)), _u9956) = _u9957) )).
% 12.29/12.53 cnf(matrix-4653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9958)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9959), _u9958)), _u9959)) )).
% 12.29/12.53 cnf(matrix-4654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9961), _u9960)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9961), _u9960) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9961), _u9960)), _u9960))) )).
% 12.29/12.53 cnf(matrix-4655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9963), _u9962)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9963), _u9962) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9962)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9963), _u9962)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9963), _u9962) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9963), _u9962)), _u9962))) )).
% 12.29/12.53 cnf(matrix-4657, plain, ( ~hBOOL(hAPP(_u9971, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9973), _u9975))) | ( _u9975 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9971, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-4658, plain, ( ~hBOOL(hAPP(_u9971, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9973), _u9975))) | ( _u9975 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9964), _u9975)) | ( _u9973 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9975), _u9965)), _u9964)) | hBOOL(hAPP(_u9971, _u9965)) )).
% 12.29/12.53 cnf(matrix-4659, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ( _u9976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem262(_u9976, _u9974, _u9972)), _u9976)) )).
% 12.29/12.53 cnf(matrix-4660, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ( _u9976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9976), skolem261(_u9976, _u9974, _u9972))), skolem262(_u9976, _u9974, _u9972))) )).
% 12.29/12.53 cnf(matrix-4661, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ( _u9976 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9972, skolem261(_u9976, _u9974, _u9972))) )).
% 12.29/12.53 cnf(matrix-4662, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9976 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.53 cnf(matrix-4663, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem262(_u9976, _u9974, _u9972)), _u9976)) )).
% 12.29/12.53 cnf(matrix-4664, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9974 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9976), skolem261(_u9976, _u9974, _u9972))), skolem262(_u9976, _u9974, _u9972))) )).
% 12.29/12.53 cnf(matrix-4665, plain, ( hBOOL(hAPP(_u9972, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9974), _u9976))) | ~hBOOL(hAPP(_u9972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9972, skolem261(_u9976, _u9974, _u9972))) )).
% 12.29/12.53 cnf(matrix-4666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9977)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9977), _u9978)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9977)), hAPP(c_Int_Onat, _u9978))) )).
% 12.29/12.53 cnf(matrix-4667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9979)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9980)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9979)), hAPP(c_Int_Onat, _u9980)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9979), _u9980))) )).
% 12.29/12.53 cnf(matrix-4668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9981)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9981), _u9982)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9982), _u9981) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9982), _u9981)), _u9981))) )).
% 12.29/12.53 cnf(matrix-4669, plain, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | ( _u9992 = 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), _u9992), skolem263(_u9992, _u9990, _u9988))), _u9990)) )).
% 12.29/12.53 cnf(matrix-4670, plain, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | ( _u9992 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9992), hAPP(c_Nat_OSuc, skolem263(_u9992, _u9990, _u9988))))) )).
% 12.29/12.53 cnf(matrix-4671, plain, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | ( _u9992 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9988, skolem263(_u9992, _u9990, _u9988))) )).
% 12.29/12.53 cnf(matrix-4672, plain, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | hBOOL(hAPP(_u9988, 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), _u9992), skolem263(_u9992, _u9990, _u9988))), _u9990)) )).
% 12.29/12.53 cnf(matrix-4673, plain, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | hBOOL(hAPP(_u9988, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9990), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9992), hAPP(c_Nat_OSuc, skolem263(_u9992, _u9990, _u9988))))) )).
% 12.29/12.53 cnf(matrix-4674, plain, ( ~hBOOL(hAPP(_u9988, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9990), _u9992))) | hBOOL(hAPP(_u9988, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9988, skolem263(_u9992, _u9990, _u9988))) )).
% 12.29/12.53 cnf(matrix-4675, plain, ( hBOOL(hAPP(_u9989, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9991), _u9993))) | ( _u9993 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9989, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.53 cnf(matrix-4676, plain, ( hBOOL(hAPP(_u9989, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9991), _u9993))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9993), _u9984)), _u9991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9991), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9993), hAPP(c_Nat_OSuc, _u9984)))) | ~hBOOL(hAPP(_u9989, _u9984)) )).
% 12.29/12.53 cnf(matrix-4677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), _u9995)), _u9996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), hAPP(c_Nat_OSuc, _u9995)))) | ( _u9995 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9996), _u9994)) )).
% 12.29/12.53 cnf(matrix-4678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9994)) | ( _u9995 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9996), _u9994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), _u9995)), _u9996)) )).
% 12.29/12.53 cnf(matrix-4679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9994)) | ( _u9995 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9996), _u9994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9996), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9994), hAPP(c_Nat_OSuc, _u9995)))) )).
% 12.29/12.53 cnf(matrix-4680, plain, ( ( c_Nitpick_Onat__lcm(_u9997, _u9998) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9997), _u9998)), c_Nitpick_Onat__gcd(_u9997, _u9998))) )).
% 12.29/12.53 cnf(matrix-4681, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10001), _u10002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10001, tc_HOL_Obool)), _u10003), _u10002)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10003) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10002)) | hBOOL(hAPP(hAPP(c_member(_u10001), skolem264(_u10004, _u10003, _u10002, _u10001, _u10000)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10001, tc_HOL_Obool)), _u10002), _u10003))) )).
% 12.29/12.53 cnf(matrix-4682, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10000) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10001), _u10002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10001, tc_HOL_Obool)), _u10003), _u10002)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10003) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10001, _u10000), _u10004), _u10002)) | ( hAPP(_u10004, skolem264(_u10004, _u10003, _u10002, _u10001, _u10000)) != c_Groups_Oone__class_Oone(_u10000)) )).
% 12.29/12.53 cnf(matrix-4683, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10007), _u10008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10007, tc_HOL_Obool)), _u10009), _u10008)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10008) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10009)) | hBOOL(hAPP(hAPP(c_member(_u10007), skolem265(_u10010, _u10009, _u10008, _u10007, _u10006)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10007, tc_HOL_Obool)), _u10008), _u10009))) )).
% 12.29/12.53 cnf(matrix-4684, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10006) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10007), _u10008)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10007, tc_HOL_Obool)), _u10009), _u10008)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10008) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u10007, _u10006), _u10010), _u10009)) | ( hAPP(_u10010, skolem265(_u10010, _u10009, _u10008, _u10007, _u10006)) != c_Groups_Oone__class_Oone(_u10006)) )).
% 12.29/12.53 cnf(matrix-4685, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.29/12.53 cnf(matrix-4686, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem268(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.29/12.53 cnf(matrix-4687, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( skolem267(_u10016, _u10015, _u10014) != skolem268(_u10016, _u10015, _u10014)) )).
% 12.29/12.53 cnf(matrix-4688, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem266(_u10016, _u10015, _u10014)), _u10015)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), skolem268(_u10016, _u10015, _u10014)) != c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-4689, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.29/12.53 cnf(matrix-4690, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10014, tc_HOL_Obool)), skolem268(_u10016, _u10015, _u10014)), _u10015)) )).
% 12.29/12.53 cnf(matrix-4691, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( skolem267(_u10016, _u10015, _u10014) != skolem268(_u10016, _u10015, _u10014)) )).
% 12.29/12.53 cnf(matrix-4692, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(c_Finite__Set_Ocard(_u10014), skolem266(_u10016, _u10015, _u10014)) != _u10016) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10016), hAPP(c_Finite__Set_Ocard(tc_fun(_u10014, tc_HOL_Obool)), _u10015)) = hAPP(c_Finite__Set_Ocard(_u10014), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10014, tc_HOL_Obool), _u10015))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10014, tc_HOL_Obool)), skolem267(_u10016, _u10015, _u10014)), skolem268(_u10016, _u10015, _u10014)) != c_Orderings_Obot__class_Obot(tc_fun(_u10014, tc_HOL_Obool))) )).
% 12.29/12.53 cnf(matrix-4693, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u10017), _u10018) = 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), _u10017)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u10018))))) )).
% 12.29/12.53 cnf(matrix-4694, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), _u10021), _u10022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10020), c_Groups_Ozero__class_Ozero(_u10020)), skolem269(_u10022, _u10021, _u10020))) )).
% 12.29/12.53 cnf(matrix-4695, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), _u10021), _u10022)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10020), skolem269(_u10022, _u10021, _u10020)), c_Groups_Oone__class_Oone(_u10020))) )).
% 12.29/12.53 cnf(matrix-4696, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10020) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), _u10021), _u10022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10020), skolem269(_u10022, _u10021, _u10020)), _u10021)), _u10022)) )).
% 12.29/12.53 cnf(matrix-4697, plain, ( ~class_Groups_Ocomm__monoid__add(_u10024) | ~class_Groups_Ocomm__monoid__mult(_u10024) | ( _u10025 != _u10026) | ~c_Nat__Transfer_Onat__set(_u10026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10027), _u10025) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10028), _u10026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem270(_u10028, _u10027, _u10026, _u10025, _u10024))) )).
% 12.29/12.53 cnf(matrix-4698, plain, ( ~class_Groups_Ocomm__monoid__add(_u10024) | ~class_Groups_Ocomm__monoid__mult(_u10024) | ( _u10025 != _u10026) | ~c_Nat__Transfer_Onat__set(_u10026) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10027), _u10025) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10024), _u10028), _u10026)) | ( hAPP(_u10027, skolem270(_u10028, _u10027, _u10026, _u10025, _u10024)) != hAPP(_u10028, skolem270(_u10028, _u10027, _u10026, _u10025, _u10024))) )).
% 12.29/12.53 cnf(matrix-4699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), _u10029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10029), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10035 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10033), _u10030)), _u10029)) | hBOOL(hAPP(hAPP(_u10034, _u10030), _u10029)) )).
% 12.29/12.53 cnf(matrix-4700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), skolem272(_u10035, _u10034, _u10033))) )).
% 12.29/12.53 cnf(matrix-4701, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem272(_u10035, _u10034, _u10033)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4702, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | ( _u10035 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10033), skolem271(_u10035, _u10034, _u10033))), skolem272(_u10035, _u10034, _u10033))) )).
% 12.29/12.53 cnf(matrix-4703, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10033), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u10034, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10035), _u10033)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10035, _u10033))) | ~hBOOL(hAPP(hAPP(_u10034, skolem271(_u10035, _u10034, _u10033)), skolem272(_u10035, _u10034, _u10033))) )).
% 12.29/12.53 cnf(matrix-4704, 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, _u10036, _u10037)), _u10038), _u10037) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10036), _u10038), _u10037)) )).
% 12.29/12.53 cnf(matrix-4705, plain, ( ~c_Nat__Transfer_Ois__nat(_u10039) | ~c_Nat__Transfer_Ois__nat(_u10040) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10039, _u10040)) )).
% 12.29/12.53 cnf(matrix-4706, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10041), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10042, _u10043)), _u10043) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10041), _u10042), _u10043)) )).
% 12.29/12.53 cnf(matrix-4707, 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, _u10044, _u10045)), _u10046), _u10045) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10044), _u10046), _u10045)) )).
% 12.29/12.53 cnf(matrix-4708, 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, _u10047, _u10048)), _u10048) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10047), _u10048)) )).
% 12.29/12.53 cnf(matrix-4709, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10049), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10050)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10049, _u10050))) )).
% 12.29/12.53 cnf(matrix-4710, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10051, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10052)) = 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), _u10051), _u10052))) )).
% 12.29/12.53 cnf(matrix-4711, plain, ( ~class_Divides_Osemiring__div(_u10053) | ( c_Divides_Odiv__class_Omod(_u10053, _u10054, _u10055) != c_Divides_Odiv__class_Omod(_u10053, _u10056, _u10055)) | ( c_Divides_Odiv__class_Omod(_u10053, _u10057, _u10055) != c_Divides_Odiv__class_Omod(_u10053, _u10058, _u10055)) | ( c_Divides_Odiv__class_Omod(_u10053, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10053), _u10054), _u10057), _u10055) = c_Divides_Odiv__class_Omod(_u10053, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10053), _u10056), _u10058), _u10055)) )).
% 12.29/12.53 cnf(matrix-4712, plain, ( ~class_Divides_Osemiring__div(_u10059) | ( c_Divides_Odiv__class_Omod(_u10059, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10059), c_Divides_Odiv__class_Omod(_u10059, _u10060, _u10061)), _u10062), _u10061) = c_Divides_Odiv__class_Omod(_u10059, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10059), _u10060), _u10062), _u10061)) )).
% 12.29/12.53 cnf(matrix-4713, plain, ( ~class_Divides_Osemiring__div(_u10063) | ( c_Divides_Odiv__class_Omod(_u10063, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10063), _u10064), c_Divides_Odiv__class_Omod(_u10063, _u10065, _u10066)), _u10066) = c_Divides_Odiv__class_Omod(_u10063, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10063), _u10064), _u10065), _u10066)) )).
% 12.29/12.53 cnf(matrix-4714, plain, ( ~class_Divides_Osemiring__div(_u10067) | ( c_Divides_Odiv__class_Omod(_u10067, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10067), _u10068), _u10069), _u10070) = c_Divides_Odiv__class_Omod(_u10067, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10067), c_Divides_Odiv__class_Omod(_u10067, _u10068, _u10070)), c_Divides_Odiv__class_Omod(_u10067, _u10069, _u10070)), _u10070)) )).
% 12.29/12.53 cnf(matrix-4715, plain, ( ~class_Divides_Osemiring__div(_u10071) | ( c_Divides_Odiv__class_Omod(_u10071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10071), _u10072), _u10073), _u10074) = c_Divides_Odiv__class_Omod(_u10071, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10071), c_Divides_Odiv__class_Omod(_u10071, _u10072, _u10074)), _u10073), _u10074)) )).
% 12.29/12.53 cnf(matrix-4716, plain, ( ~class_Divides_Osemiring__div(_u10075) | ( c_Divides_Odiv__class_Omod(_u10075, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10075), _u10076), _u10077), _u10078) = c_Divides_Odiv__class_Omod(_u10075, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10075), _u10076), c_Divides_Odiv__class_Omod(_u10075, _u10077, _u10078)), _u10078)) )).
% 12.29/12.53 cnf(matrix-4717, plain, ( ~class_Divides_Osemiring__div(_u10079) | ( c_Divides_Odiv__class_Omod(_u10079, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10079), _u10080), _u10081), _u10080) = c_Divides_Odiv__class_Omod(_u10079, _u10081, _u10080)) )).
% 12.29/12.53 cnf(matrix-4718, plain, ( ~class_Divides_Osemiring__div(_u10082) | ( c_Divides_Odiv__class_Omod(_u10082, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10082), _u10083), _u10084), _u10084) = c_Divides_Odiv__class_Omod(_u10082, _u10083, _u10084)) )).
% 12.29/12.53 cnf(matrix-4719, plain, ( ~class_Divides_Osemiring__div(_u10085) | ( c_Divides_Odiv__class_Omod(_u10085, _u10086, _u10087) != c_Divides_Odiv__class_Omod(_u10085, _u10088, _u10087)) | ( c_Divides_Odiv__class_Omod(_u10085, _u10089, _u10087) != c_Divides_Odiv__class_Omod(_u10085, _u10090, _u10087)) | ( c_Divides_Odiv__class_Omod(_u10085, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10085), _u10086), _u10089), _u10087) = c_Divides_Odiv__class_Omod(_u10085, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10085), _u10088), _u10090), _u10087)) )).
% 12.29/12.53 cnf(matrix-4720, plain, ( ~class_Divides_Osemiring__div(_u10091) | ( c_Divides_Odiv__class_Omod(_u10091, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10091), c_Divides_Odiv__class_Omod(_u10091, _u10092, _u10093)), _u10094), _u10093) = c_Divides_Odiv__class_Omod(_u10091, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10091), _u10092), _u10094), _u10093)) )).
% 12.29/12.53 cnf(matrix-4721, plain, ( ~class_Divides_Osemiring__div(_u10095) | ( c_Divides_Odiv__class_Omod(_u10095, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10095), _u10096), _u10097), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10095), _u10098), _u10097)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10095), c_Divides_Odiv__class_Omod(_u10095, _u10096, _u10098)), _u10097)) )).
% 12.29/12.53 cnf(matrix-4722, plain, ( ~class_Divides_Osemiring__div(_u10099) | ( c_Divides_Odiv__class_Omod(_u10099, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10099), _u10100), _u10101), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10099), _u10100), _u10102)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10099), _u10100), c_Divides_Odiv__class_Omod(_u10099, _u10101, _u10102))) )).
% 12.29/12.53 cnf(matrix-4723, plain, ( ~class_Divides_Osemiring__div(_u10103) | ( c_Divides_Odiv__class_Omod(_u10103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10103), _u10104), _u10105), _u10106) = c_Divides_Odiv__class_Omod(_u10103, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10103), c_Divides_Odiv__class_Omod(_u10103, _u10104, _u10106)), c_Divides_Odiv__class_Omod(_u10103, _u10105, _u10106)), _u10106)) )).
% 12.29/12.53 cnf(matrix-4724, plain, ( ~class_Divides_Osemiring__div(_u10107) | ( c_Divides_Odiv__class_Omod(_u10107, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10107), _u10108), _u10109), _u10110) = c_Divides_Odiv__class_Omod(_u10107, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10107), c_Divides_Odiv__class_Omod(_u10107, _u10108, _u10110)), _u10109), _u10110)) )).
% 12.29/12.53 cnf(matrix-4725, plain, ( ~class_Divides_Osemiring__div(_u10111) | ( c_Divides_Odiv__class_Omod(_u10111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10111), _u10112), _u10113), _u10114) = c_Divides_Odiv__class_Omod(_u10111, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10111), _u10112), c_Divides_Odiv__class_Omod(_u10111, _u10113, _u10114)), _u10114)) )).
% 12.29/12.53 cnf(matrix-4726, plain, ( ~class_Divides_Oring__div(_u10115) | ( c_Divides_Odiv__class_Omod(_u10115, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10115), _u10116), _u10117), _u10118) = c_Divides_Odiv__class_Omod(_u10115, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10115), _u10116), c_Divides_Odiv__class_Omod(_u10115, _u10117, _u10118)), _u10118)) )).
% 12.29/12.53 cnf(matrix-4727, plain, ( ~class_Divides_Oring__div(_u10119) | ( c_Divides_Odiv__class_Omod(_u10119, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10119), _u10120), _u10121), _u10122) = c_Divides_Odiv__class_Omod(_u10119, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10119), c_Divides_Odiv__class_Omod(_u10119, _u10120, _u10122)), _u10121), _u10122)) )).
% 12.29/12.53 cnf(matrix-4728, plain, ( ~class_Divides_Oring__div(_u10123) | ( c_Divides_Odiv__class_Omod(_u10123, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10123), _u10124), _u10125), _u10126) = c_Divides_Odiv__class_Omod(_u10123, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10123), c_Divides_Odiv__class_Omod(_u10123, _u10124, _u10126)), c_Divides_Odiv__class_Omod(_u10123, _u10125, _u10126)), _u10126)) )).
% 12.29/12.53 cnf(matrix-4729, plain, ( ~class_Divides_Oring__div(_u10127) | ( c_Divides_Odiv__class_Omod(_u10127, _u10128, _u10129) != c_Divides_Odiv__class_Omod(_u10127, _u10130, _u10129)) | ( c_Divides_Odiv__class_Omod(_u10127, _u10131, _u10129) != c_Divides_Odiv__class_Omod(_u10127, _u10132, _u10129)) | ( c_Divides_Odiv__class_Omod(_u10127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10127), _u10128), _u10131), _u10129) = c_Divides_Odiv__class_Omod(_u10127, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10127), _u10130), _u10132), _u10129)) )).
% 12.29/12.53 cnf(matrix-4730, plain, ( ~class_Divides_Oring__div(_u10133) | ( c_Divides_Odiv__class_Omod(_u10133, hAPP(c_Groups_Ouminus__class_Ouminus(_u10133), _u10134), _u10135) = c_Divides_Odiv__class_Omod(_u10133, hAPP(c_Groups_Ouminus__class_Ouminus(_u10133), c_Divides_Odiv__class_Omod(_u10133, _u10134, _u10135)), _u10135)) )).
% 12.29/12.53 cnf(matrix-4731, plain, ( ~class_Divides_Oring__div(_u10136) | ( c_Divides_Odiv__class_Omod(_u10136, _u10137, _u10138) != c_Divides_Odiv__class_Omod(_u10136, _u10139, _u10138)) | ( c_Divides_Odiv__class_Omod(_u10136, hAPP(c_Groups_Ouminus__class_Ouminus(_u10136), _u10137), _u10138) = c_Divides_Odiv__class_Omod(_u10136, hAPP(c_Groups_Ouminus__class_Ouminus(_u10136), _u10139), _u10138)) )).
% 12.29/12.53 cnf(matrix-4732, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10140, _u10140) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4733, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10141) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4734, plain, ( ~class_Divides_Osemiring__div(_u10142) | ( c_Divides_Odiv__class_Omod(_u10142, _u10143, _u10143) = c_Groups_Ozero__class_Ozero(_u10142)) )).
% 12.29/12.53 cnf(matrix-4735, plain, ( ~class_Divides_Osemiring__div(_u10144) | ( c_Divides_Odiv__class_Omod(_u10144, _u10145, c_Groups_Ozero__class_Ozero(_u10144)) = _u10145) )).
% 12.29/12.53 cnf(matrix-4736, plain, ( ~class_Divides_Osemiring__div(_u10146) | ( c_Divides_Odiv__class_Omod(_u10146, c_Groups_Ozero__class_Ozero(_u10146), _u10147) = c_Groups_Ozero__class_Ozero(_u10146)) )).
% 12.29/12.53 cnf(matrix-4737, plain, ( ~class_Divides_Osemiring__div(_u10148) | ( c_Divides_Odiv__class_Omod(_u10148, c_Divides_Odiv__class_Omod(_u10148, _u10149, _u10150), _u10150) = c_Divides_Odiv__class_Omod(_u10148, _u10149, _u10150)) )).
% 12.29/12.53 cnf(matrix-4738, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10151), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10152, _u10153)), _u10153) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10151), _u10152), _u10153)) )).
% 12.29/12.53 cnf(matrix-4739, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10154), _u10155), _u10156) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10154), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10155, _u10156)), _u10156)) )).
% 12.29/12.53 cnf(matrix-4740, plain, ( ~class_Divides_Osemiring__div(_u10157) | ( c_Divides_Odiv__class_Omod(_u10157, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10157), _u10158), _u10159), _u10158) = c_Groups_Ozero__class_Ozero(_u10157)) )).
% 12.29/12.53 cnf(matrix-4741, plain, ( ~class_Divides_Osemiring__div(_u10160) | ( c_Divides_Odiv__class_Omod(_u10160, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10160), _u10161), _u10162), _u10162) = c_Groups_Ozero__class_Ozero(_u10160)) )).
% 12.29/12.53 cnf(matrix-4742, plain, ( ~class_Divides_Osemiring__div(_u10163) | ( c_Divides_Odiv__class_Omod(_u10163, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10163), _u10164), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10163), _u10165), _u10166)), _u10165) = c_Divides_Odiv__class_Omod(_u10163, _u10164, _u10165)) )).
% 12.29/12.53 cnf(matrix-4743, plain, ( ~class_Divides_Osemiring__div(_u10167) | ( c_Divides_Odiv__class_Omod(_u10167, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10167), _u10168), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10167), _u10169), _u10170)), _u10170) = c_Divides_Odiv__class_Omod(_u10167, _u10168, _u10170)) )).
% 12.29/12.53 cnf(matrix-4744, plain, ( ~class_Divides_Osemiring__div(_u10171) | ( c_Divides_Odiv__class_Omod(_u10171, _u10172, c_Groups_Oone__class_Oone(_u10171)) = c_Groups_Ozero__class_Ozero(_u10171)) )).
% 12.29/12.53 cnf(matrix-4745, plain, ( ~class_Divides_Osemiring__div(_u10173) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10173), c_Divides_Odiv__class_Omod(_u10173, _u10174, _u10175)), _u10175) = c_Groups_Ozero__class_Ozero(_u10173)) )).
% 12.29/12.53 cnf(matrix-4746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10176, _u10177)), _u10176)) )).
% 12.29/12.53 cnf(matrix-4747, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10178)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10179)) | 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, _u10178, _u10179))) )).
% 12.29/12.53 cnf(matrix-4748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10180)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10181, _u10180)), _u10180)) )).
% 12.29/12.53 cnf(matrix-4749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10182), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10182), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10183, _u10182))) )).
% 12.29/12.53 cnf(matrix-4750, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10188, _u10190) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10188 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10190), skolem273(_u10190, _u10188))) )).
% 12.29/12.53 cnf(matrix-4751, plain, ( ( _u10189 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10191), _u10185)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10189, _u10191) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4752, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10192), _u10193) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10192, _u10193) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4753, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10194, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10195)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10194, _u10195) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4754, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10196, _u10197)), _u10197) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4755, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10199), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4756, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10200, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u10200) )).
% 12.29/12.53 cnf(matrix-4757, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10201), _u10202)), _u10203) = 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), _u10201), _u10203)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10202), _u10203))), 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, _u10201, _u10203)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10202, _u10203))), _u10203))) )).
% 12.29/12.53 cnf(matrix-4758, plain, ( ~class_Divides_Osemiring__div(_u10204) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10204), c_Divides_Odiv__class_Omod(_u10204, _u10205, _u10206)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10204), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10204), _u10205), _u10206)), _u10206)) = _u10205) )).
% 12.29/12.53 cnf(matrix-4759, plain, ( ~class_Divides_Osemiring__div(_u10207) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10207), _u10208), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10207), _u10209), _u10208))), c_Divides_Odiv__class_Omod(_u10207, _u10209, _u10208)) = _u10209) )).
% 12.29/12.53 cnf(matrix-4760, plain, ( ~class_Divides_Osemiring__div(_u10210) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10210), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10210), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10210), _u10211), _u10212)), _u10212)), c_Divides_Odiv__class_Omod(_u10210, _u10211, _u10212)) = _u10211) )).
% 12.29/12.53 cnf(matrix-4761, plain, ( ~class_Divides_Osemiring__div(_u10213) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10213), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10213), _u10214), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10213), _u10215), _u10214))), c_Divides_Odiv__class_Omod(_u10213, _u10215, _u10214))), _u10216) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10213), _u10215), _u10216)) )).
% 12.29/12.53 cnf(matrix-4762, plain, ( ~class_Divides_Osemiring__div(_u10217) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10217), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10217), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10217), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u10217), _u10218), _u10219)), _u10219)), c_Divides_Odiv__class_Omod(_u10217, _u10218, _u10219))), _u10220) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10217), _u10218), _u10220)) )).
% 12.29/12.53 cnf(matrix-4763, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10221), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10222), _u10221)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10221, _u10222) = _u10221) )).
% 12.29/12.53 cnf(matrix-4764, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10223), 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, _u10224, _u10223)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10223), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10223), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10224, _u10223))) )).
% 12.29/12.53 cnf(matrix-4766, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10225), 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, _u10226, _u10225)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.53 cnf(matrix-4767, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10227)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10227), _u10228)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10227, _u10228) = _u10227) )).
% 12.29/12.53 cnf(matrix-4768, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10229)) | 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, _u10230, _u10229))) )).
% 12.29/12.53 cnf(matrix-4769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10229)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10230, _u10229)), _u10229)) )).
% 12.29/12.53 cnf(matrix-4770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10231)) | 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, _u10232, _u10231))) )).
% 12.29/12.53 cnf(matrix-4771, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10235, _u10237) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10235, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10237)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4772, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10236, _u10238) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10236, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10238)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10236, _u10238)), _u10238)) )).
% 12.29/12.53 cnf(matrix-4773, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10241, _u10243) != 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), _u10241), _u10243) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.53 cnf(matrix-4774, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10242, _u10244) = 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), _u10242), _u10244) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10244), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10242, _u10244))) )).
% 12.29/12.53 cnf(matrix-4775, plain, ( ( _u10245 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10246), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10245), _u10246))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10245, _u10246))) )).
% 12.29/12.53 cnf(matrix-4776, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10247), _u10248)), _u10249) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10247), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10248), _u10249))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10247), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10248, _u10249))), _u10249))) )).
% 12.29/12.53 cnf(matrix-4777, 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), _u10250), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10251), _u10250))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10251, _u10250))), _u10252) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10251), _u10252)) )).
% 12.29/12.53 cnf(matrix-4778, 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), _u10253), _u10254)), _u10254)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10253, _u10254))), _u10255) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10253), _u10255)) )).
% 12.29/12.53 cnf(matrix-4779, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10256), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10257), _u10256)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10257), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10257, _u10256))) )).
% 12.29/12.53 cnf(matrix-4780, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10258, _u10259) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10258), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10258), _u10259)), _u10259))) )).
% 12.29/12.53 cnf(matrix-4781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10260), _u10261)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10260, _u10261) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10260), _u10261)) )).
% 12.29/12.54 cnf(matrix-4782, plain, ( ~hBOOL(hAPP(_u10273, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10275, _u10277))) | ( _u10277 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u10273, _u10275)) )).
% 12.29/12.54 cnf(matrix-4783, plain, ( ~hBOOL(hAPP(_u10273, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10275, _u10277))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10277)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10262), _u10277)) | ( _u10275 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10277), _u10263)), _u10262)) | hBOOL(hAPP(_u10273, _u10262)) )).
% 12.29/12.54 cnf(matrix-4784, plain, ( ~hBOOL(hAPP(_u10273, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10275, _u10277))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10277), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10277), _u10264)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10264), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10275 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10277), _u10265)), _u10264)) | hBOOL(hAPP(_u10273, _u10264)) )).
% 12.29/12.54 cnf(matrix-4785, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4786, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4787, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4788, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4789, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4790, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4791, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4792, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4793, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4794, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4795, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4796, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4797, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4798, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4799, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4800, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4801, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4802, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4803, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4804, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4805, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4806, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4807, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4808, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4809, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4810, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4811, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = 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)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4812, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4813, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4814, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ( _u10278 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4815, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4816, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4817, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4818, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4819, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10278), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4820, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4821, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4822, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4823, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4824, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem277(_u10278, _u10276, _u10274)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4825, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4826, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4827, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4828, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4829, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem276(_u10278, _u10276, _u10274))), skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4830, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4831, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4832, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem275(_u10278, _u10276, _u10274)), _u10278)) )).
% 12.29/12.54 cnf(matrix-4833, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ( _u10276 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10278), skolem274(_u10278, _u10276, _u10274))), skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4834, plain, ( hBOOL(hAPP(_u10274, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10276, _u10278))) | ~hBOOL(hAPP(_u10274, skolem277(_u10278, _u10276, _u10274))) | ~hBOOL(hAPP(_u10274, _u10276)) | ~hBOOL(hAPP(_u10274, skolem275(_u10278, _u10276, _u10274))) )).
% 12.29/12.54 cnf(matrix-4835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10279)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10280), _u10281)) | 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), _u10281), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10282, _u10279))), _u10280))) )).
% 12.29/12.54 cnf(matrix-4836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10284), _u10285)) | 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), _u10285), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10286, _u10283))), _u10284)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10285), _u10283))) )).
% 12.29/12.54 cnf(matrix-4837, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10288), _u10289)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10289), 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), _u10288), _u10287)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10288), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10290, _u10287))), _u10289))) )).
% 12.29/12.54 cnf(matrix-4838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10291)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10292), _u10293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10293), 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), _u10292), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10294, _u10291))), _u10293)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-4839, plain, ( ( _u10295 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10296), _u10297)), _u10298)) | ( _u10296 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10295, _u10296) = _u10298) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10296), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10298), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-4840, plain, ( ( _u10295 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10296), _u10297)), _u10298)) | ( _u10296 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10295, _u10296) = _u10298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10298), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10296)) )).
% 12.29/12.54 cnf(matrix-4841, plain, ( ( _u10295 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10296), _u10297)), _u10298)) | ( _u10296 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10295, _u10296) = _u10298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10298), _u10296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10296), _u10298)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10298), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-4842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10299)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10300, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10301), _u10299)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10301), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10300), _u10301), _u10299))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10300, _u10301))) )).
% 12.29/12.54 cnf(matrix-4843, plain, ( ( _u10302 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10303, _u10302) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10303), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10302)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10303), _u10302))) )).
% 12.29/12.54 cnf(matrix-4844, plain, ( ( _u10302 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10303, _u10302) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10303), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10302)) = 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), _u10303), _u10302))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-4845, plain, ( ( _u10304 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10305, _u10304) != 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), _u10305)), _u10304) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10305), _u10304))) )).
% 12.29/12.54 cnf(matrix-4846, plain, ( ( _u10304 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10305, _u10304) = 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), _u10305)), _u10304) = 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), _u10305), _u10304))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-4847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10310)) | ~hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10306), _u10310)) | ( _u10312 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10310), _u10307)), _u10306)) | hBOOL(hAPP(hAPP(_u10311, _u10307), _u10306)) )).
% 12.29/12.54 cnf(matrix-4848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem279(_u10312, _u10311, _u10310))) )).
% 12.29/12.54 cnf(matrix-4849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem279(_u10312, _u10311, _u10310)), _u10310)) )).
% 12.29/12.54 cnf(matrix-4850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | ( _u10312 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10310), skolem278(_u10312, _u10311, _u10310))), skolem279(_u10312, _u10311, _u10310))) )).
% 12.29/12.54 cnf(matrix-4851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10310)) | hBOOL(hAPP(hAPP(_u10311, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10312), _u10310)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10312, _u10310))) | ~hBOOL(hAPP(hAPP(_u10311, skolem278(_u10312, _u10311, _u10310)), skolem279(_u10312, _u10311, _u10310))) )).
% 12.29/12.54 cnf(matrix-4852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10315)) | ( c_SMT_Oz3mod(_u10317, _u10315) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10317, _u10315)) )).
% 12.29/12.54 cnf(matrix-4853, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10316)) | ( c_SMT_Oz3mod(_u10318, _u10316) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10318, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10316))) )).
% 12.29/12.54 cnf(matrix-4854, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10320), _u10321)) | 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(_u10320, tc_Nat_Onat), _u10322), _u10321))) | hBOOL(hAPP(hAPP(c_member(_u10320), skolem280(_u10322, _u10321, _u10320)), _u10321)) )).
% 12.29/12.54 cnf(matrix-4855, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10320), _u10321)) | 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(_u10320, tc_Nat_Onat), _u10322), _u10321))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u10322, skolem280(_u10322, _u10321, _u10320)))) )).
% 12.29/12.54 cnf(matrix-4856, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10323), _u10324)) | ~c_Fun_Oinj__on(_u10323, tc_fun(tc_fun(_u10323, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10323, tc_fun(tc_prod(_u10323, _u10323), tc_HOL_Obool), tc_fun(tc_fun(_u10323, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10323, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10323, _u10323), tc_HOL_Obool), tc_fun(tc_fun(_u10323, tc_HOL_Obool), tc_HOL_Obool)), _u10323), c_Equiv__Relations_Oquotient(_u10323)), hAPP(hAPP(c_COMBC(_u10323, tc_fun(_u10323, tc_HOL_Obool), tc_fun(_u10323, tc_HOL_Obool)), c_Set_Oinsert(_u10323)), c_Orderings_Obot__class_Obot(tc_fun(_u10323, tc_HOL_Obool))))), _u10325), _u10324) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u10323, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10323), _u10324), _u10325)) = hAPP(c_Finite__Set_Ocard(_u10323), _u10324)) )).
% 12.29/12.54 cnf(matrix-4857, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10327), _u10328)) | c_Fun_Obij__betw(_u10327, tc_Nat_Onat, skolem281(_u10328, _u10327), _u10328, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u10327), _u10328))) )).
% 12.29/12.54 cnf(matrix-4858, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10329), _u10330) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10329, _u10330)), _u10330)) )).
% 12.29/12.54 cnf(matrix-4859, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10331), _u10332)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10331, _u10332) = _u10331) )).
% 12.29/12.54 cnf(matrix-4860, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10333, _u10334)), _u10335) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10333), _u10335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10334), _u10335))) )).
% 12.29/12.54 cnf(matrix-4861, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10336), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10337, _u10338)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10336), _u10337), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10336), _u10338))) )).
% 12.29/12.54 cnf(matrix-4862, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10339, _u10340)), _u10339)) )).
% 12.29/12.54 cnf(matrix-4863, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10341), c_Orderings_Obot__class_Obot(tc_fun(_u10341, tc_HOL_Obool))), _u10342) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10341, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-4864, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10346, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10346), _u10348), _u10350)) | ( _u10348 = c_Orderings_Obot__class_Obot(tc_fun(_u10346, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-4865, plain, ( ( _u10349 != c_Orderings_Obot__class_Obot(tc_fun(_u10347, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10347, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10347), _u10349), _u10351)) )).
% 12.29/12.54 cnf(matrix-4866, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10355), _u10357), _u10359) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10355, tc_HOL_Obool), tc_HOL_Obool))) | ( _u10357 = c_Orderings_Obot__class_Obot(tc_fun(_u10355, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-4867, plain, ( ( _u10358 != c_Orderings_Obot__class_Obot(tc_fun(_u10356, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10356), _u10358), _u10360) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10356, tc_HOL_Obool), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-4868, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10361, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-4869, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10364, _u10366)) != _u10366) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10364), _u10366) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-4870, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10365, _u10367)) = _u10367) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10365), _u10367) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10365, _u10367))) )).
% 12.29/12.54 cnf(matrix-4871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10368)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10369, _u10368)), _u10368)) )).
% 12.29/12.54 cnf(matrix-4872, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10374, _u10376) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10374 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10376), skolem282(_u10376, _u10374))) )).
% 12.29/12.54 cnf(matrix-4873, plain, ( ( _u10375 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10377), _u10371)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10375, _u10377) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-4874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10380), _u10382)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10380, _u10382) = _u10380) )).
% 12.29/12.54 cnf(matrix-4875, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10381), _u10383)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10381, _u10383) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10381), _u10383), _u10383)) )).
% 12.29/12.54 cnf(matrix-4876, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10384), _u10385)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10384, _u10385) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10384), _u10385), _u10385)) )).
% 12.29/12.54 cnf(matrix-4877, 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), _u10386), _u10387)), _u10388), _u10387) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10388, _u10387)) )).
% 12.29/12.54 cnf(matrix-4878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10389), _u10390)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10390, _u10389) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10390), _u10389), _u10389)) )).
% 12.29/12.54 cnf(matrix-4879, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10391), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10392)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10391, _u10392))) )).
% 12.29/12.54 cnf(matrix-4880, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10393, _u10394)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10393), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10394))) )).
% 12.29/12.54 cnf(matrix-4881, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10395), _u10396)), _u10397) = 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), _u10395), _u10397)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10396), _u10397))), 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, _u10395, _u10397)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10396, _u10397))), _u10397))) )).
% 12.29/12.54 cnf(matrix-4882, plain, ( ( _u10400 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10402, _u10400) = _u10402) )).
% 12.29/12.54 cnf(matrix-4883, plain, ( ( _u10401 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u10403, _u10401) = c_Nitpick_Onat__gcd(_u10401, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10403, _u10401))) )).
% 12.29/12.54 cnf(matrix-4884, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10405, _u10404)), _u10404)) )).
% 12.29/12.54 cnf(matrix-4885, 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), _u10406), _u10407)), _u10408)), _u10407) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10408), _u10407)) )).
% 12.29/12.54 cnf(matrix-4886, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10409, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10410), _u10411)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10410), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10409), _u10410), _u10411))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10409, _u10410))) )).
% 12.29/12.54 cnf(matrix-4887, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10412), _u10413)), _u10414) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10412), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10413), _u10414))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10412), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10413, _u10414))), _u10414))) )).
% 12.29/12.54 cnf(matrix-4888, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10415), _u10416)), _u10416) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10415), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10415, _u10416))) )).
% 12.29/12.54 cnf(matrix-4889, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10417), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10418), _u10417)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10418), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10418, _u10417))) )).
% 12.29/12.54 cnf(matrix-4890, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10419, _u10420) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10419), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10419), _u10420)), _u10420))) )).
% 12.29/12.54 cnf(matrix-4891, plain, ( ~c_Fun_Oinj__on(_u10421, tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10421, tc_fun(tc_prod(_u10421, _u10421), tc_HOL_Obool), tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10421, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10421, _u10421), tc_HOL_Obool), tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool)), _u10421), c_Equiv__Relations_Oquotient(_u10421)), hAPP(hAPP(c_COMBC(_u10421, tc_fun(_u10421, tc_HOL_Obool), tc_fun(_u10421, tc_HOL_Obool)), c_Set_Oinsert(_u10421)), c_Orderings_Obot__class_Obot(tc_fun(_u10421, tc_HOL_Obool))))), _u10422), _u10423) | ~hBOOL(hAPP(hAPP(c_member(_u10421), _u10424), _u10423)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10421), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10421, tc_HOL_Obool)), _u10423), hAPP(hAPP(c_Set_Oinsert(_u10421), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10421, tc_HOL_Obool))))), _u10422) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u10421, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10421), _u10423), _u10422)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10421), hAPP(hAPP(c_Set_Oinsert(_u10421), _u10424), c_Orderings_Obot__class_Obot(tc_fun(_u10421, tc_HOL_Obool)))), _u10422))) )).
% 12.29/12.54 cnf(matrix-4892, plain, ( ~hBOOL(hAPP(_u10432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10434, _u10436))) | ( _u10436 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u10432, _u10434)) )).
% 12.29/12.54 cnf(matrix-4893, plain, ( ~hBOOL(hAPP(_u10432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10434, _u10436))) | ( _u10436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10425), _u10436)) | ( _u10434 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10436), _u10426)), _u10425)) | hBOOL(hAPP(_u10432, _u10425)) )).
% 12.29/12.54 cnf(matrix-4894, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ( _u10437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem284(_u10437, _u10435, _u10433)), _u10437)) )).
% 12.29/12.54 cnf(matrix-4895, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ( _u10437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10435 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10437), skolem283(_u10437, _u10435, _u10433))), skolem284(_u10437, _u10435, _u10433))) )).
% 12.29/12.54 cnf(matrix-4896, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ( _u10437 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u10433, skolem284(_u10437, _u10435, _u10433))) )).
% 12.29/12.54 cnf(matrix-4897, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | ( _u10437 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-4898, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem284(_u10437, _u10435, _u10433)), _u10437)) )).
% 12.29/12.54 cnf(matrix-4899, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | ( _u10435 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10437), skolem283(_u10437, _u10435, _u10433))), skolem284(_u10437, _u10435, _u10433))) )).
% 12.29/12.54 cnf(matrix-4900, plain, ( hBOOL(hAPP(_u10433, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10435, _u10437))) | ~hBOOL(hAPP(_u10433, _u10435)) | ~hBOOL(hAPP(_u10433, skolem284(_u10437, _u10435, _u10433))) )).
% 12.29/12.54 cnf(matrix-4901, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10439), _u10440)) | 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), _u10440), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10441, _u10438))), _u10439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10440), _u10438))) )).
% 12.29/12.54 cnf(matrix-4902, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10442)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10442), _u10443)), _u10442) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-4903, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10445)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10444), hAPP(c_Int_Onat, _u10445)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10444, _u10445))) )).
% 12.29/12.54 cnf(matrix-4904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10447)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10446, _u10447)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u10446), hAPP(c_Int_Onat, _u10447))) )).
% 12.29/12.54 cnf(matrix-4905, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10448), _u10449), _u10450) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10448, tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool)), _u10449), hAPP(hAPP(c_COMBC(_u10448, tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10448, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool)), _u10448), c_Set_Oinsert(tc_fun(_u10448, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u10448, tc_HOL_Obool), tc_fun(_u10448, tc_HOL_Obool), _u10448), c_Relation_OImage(_u10448, _u10448, _u10450)), hAPP(hAPP(c_COMBC(_u10448, tc_fun(_u10448, tc_HOL_Obool), tc_fun(_u10448, tc_HOL_Obool)), c_Set_Oinsert(_u10448)), c_Orderings_Obot__class_Obot(tc_fun(_u10448, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10448, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-4906, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10451), hAPP(hAPP(c_Set_Oinsert(_u10451), _u10452), c_Orderings_Obot__class_Obot(tc_fun(_u10451, tc_HOL_Obool)))), _u10453) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u10451, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10451, _u10451, _u10453), hAPP(hAPP(c_Set_Oinsert(_u10451), _u10452), c_Orderings_Obot__class_Obot(tc_fun(_u10451, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u10451, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 12.29/12.54 cnf(matrix-4907, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10454), _u10455), _u10456)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u10454, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10454, _u10454, _u10457), hAPP(hAPP(c_Set_Oinsert(_u10454), _u10455), c_Orderings_Obot__class_Obot(tc_fun(_u10454, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10454), _u10456), _u10457))) )).
% 12.29/12.54 cnf(matrix-4908, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10460), _u10461)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10459, _u10460, c_Groups_Otimes__class_Otimes(_u10459)), _u10462), c_Groups_Oone__class_Oone(_u10459)), _u10461) = c_Groups_Oone__class_Oone(_u10459)) | hBOOL(hAPP(hAPP(c_member(_u10460), skolem285(_u10462, _u10461, _u10460, _u10459)), _u10461)) )).
% 12.29/12.54 cnf(matrix-4909, plain, ( ~class_Groups_Ocomm__monoid__mult(_u10459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10460), _u10461)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10459, _u10460, c_Groups_Otimes__class_Otimes(_u10459)), _u10462), c_Groups_Oone__class_Oone(_u10459)), _u10461) = c_Groups_Oone__class_Oone(_u10459)) | ( hAPP(_u10462, skolem285(_u10462, _u10461, _u10460, _u10459)) != c_Groups_Oone__class_Oone(_u10459)) )).
% 12.29/12.54 cnf(matrix-4910, plain, ( ( hAPP(c_Relation_OImage(_u10463, _u10464, _u10465), _u10466) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10463, tc_fun(_u10464, tc_HOL_Obool)), _u10466), hAPP(hAPP(c_COMBB(tc_fun(_u10463, tc_HOL_Obool), tc_fun(_u10464, tc_HOL_Obool), _u10463), c_Relation_OImage(_u10463, _u10464, _u10465)), hAPP(hAPP(c_COMBC(_u10463, tc_fun(_u10463, tc_HOL_Obool), tc_fun(_u10463, tc_HOL_Obool)), c_Set_Oinsert(_u10463)), c_Orderings_Obot__class_Obot(tc_fun(_u10463, tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-4911, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10467, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10468, _u10467, _u10469), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10470, tc_fun(_u10468, tc_HOL_Obool)), _u10471), _u10472))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10470, tc_fun(_u10467, tc_HOL_Obool)), _u10471), hAPP(hAPP(c_COMBB(tc_fun(_u10468, tc_HOL_Obool), tc_fun(_u10467, tc_HOL_Obool), _u10470), c_Relation_OImage(_u10468, _u10467, _u10469)), _u10472)))) )).
% 12.29/12.54 cnf(matrix-4912, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10473, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10474, _u10473, _u10475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10474, tc_HOL_Obool)), _u10476), _u10477))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10473, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10474, _u10473, _u10475), _u10476)), hAPP(c_Relation_OImage(_u10474, _u10473, _u10475), _u10477)))) )).
% 12.29/12.54 cnf(matrix-4913, plain, ( ( hAPP(c_Relation_OImage(_u10478, _u10479, _u10480), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10478, tc_HOL_Obool)), _u10482), _u10483)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10481, tc_fun(_u10479, tc_HOL_Obool)), _u10482), hAPP(hAPP(c_COMBB(tc_fun(_u10478, tc_HOL_Obool), tc_fun(_u10479, tc_HOL_Obool), _u10481), c_Relation_OImage(_u10478, _u10479, _u10480)), _u10483))) )).
% 12.29/12.54 cnf(matrix-4914, plain, ( ( hAPP(c_Relation_OImage(_u10484, _u10485, _u10486), c_Orderings_Obot__class_Obot(tc_fun(_u10484, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u10485, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-4915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10487, _u10488), tc_HOL_Obool)), _u10489), _u10490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10487, tc_HOL_Obool)), _u10491), _u10492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10488, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10487, _u10488, _u10489), _u10491)), hAPP(c_Relation_OImage(_u10487, _u10488, _u10490), _u10492))) )).
% 12.29/12.54 cnf(matrix-4916, plain, ( ( hAPP(c_Relation_OImage(_u10493, _u10494, _u10495), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10493, tc_HOL_Obool)), _u10496), _u10497)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10494, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10493, _u10494, _u10495), _u10496)), hAPP(c_Relation_OImage(_u10493, _u10494, _u10495), _u10497))) )).
% 12.29/12.54 cnf(matrix-4917, plain, ( ( hAPP(c_Relation_OImage(_u10498, _u10499, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10498, _u10499), tc_HOL_Obool)), _u10500), _u10501)), _u10502) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10499, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u10498, _u10499, _u10500), _u10502)), hAPP(c_Relation_OImage(_u10498, _u10499, _u10501), _u10502))) )).
% 12.29/12.54 cnf(matrix-4918, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10504, tc_HOL_Obool)), _u10505), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10504), _u10506), _u10507))) | ( _u10505 = hAPP(c_Relation_OImage(_u10504, _u10504, _u10507), hAPP(hAPP(c_Set_Oinsert(_u10504), skolem286(_u10507, _u10506, _u10505, _u10504)), c_Orderings_Obot__class_Obot(tc_fun(_u10504, tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-4919, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u10504, tc_HOL_Obool)), _u10505), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u10504), _u10506), _u10507))) | hBOOL(hAPP(hAPP(c_member(_u10504), skolem286(_u10507, _u10506, _u10505, _u10504)), _u10506)) )).
% 12.29/12.54 cnf(matrix-4920, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10509, _u10510) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10511, _u10510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10511), _u10509)) | ( _u10509 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10510), skolem287(_u10511, _u10510, _u10509)))) )).
% 12.29/12.54 cnf(matrix-4921, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10513), _u10514)) | ( hAPP(c_Finite__Set_Ocard(_u10513), _u10514) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u10513), skolem288(_u10514, _u10513)), _u10514)) )).
% 12.29/12.54 cnf(matrix-4922, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10513), _u10514)) | ( hAPP(c_Finite__Set_Ocard(_u10513), _u10514) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-4923, plain, ( ~hBOOL(hAPP(_u10517, _u10518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10518), _u10516)) | hBOOL(hAPP(_u10517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem289(_u10518, _u10517, _u10516)), _u10516)) )).
% 12.29/12.54 cnf(matrix-4924, plain, ( ~hBOOL(hAPP(_u10517, _u10518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10518), _u10516)) | hBOOL(hAPP(_u10517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u10517, skolem289(_u10518, _u10517, _u10516))) )).
% 12.29/12.54 cnf(matrix-4925, plain, ( ~hBOOL(hAPP(_u10517, _u10518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10518), _u10516)) | hBOOL(hAPP(_u10517, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u10517, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem289(_u10518, _u10517, _u10516)), _u10516))) )).
% 12.29/12.54 cnf(matrix-4926, plain, ( ( _u10519 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10520, _u10520), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10520, _u10520), tc_HOL_Obool)), _u10519), _u10521)) )).
% 12.29/12.54 cnf(matrix-4927, plain, ( ~class_Groups_Oab__semigroup__mult(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10524), _u10525)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10526), _u10528), _u10525) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10527), _u10528), _u10525)) | hBOOL(hAPP(hAPP(c_member(_u10524), skolem290(_u10528, _u10527, _u10526, _u10525, _u10524, _u10523)), _u10525)) )).
% 12.29/12.54 cnf(matrix-4928, plain, ( ~class_Groups_Oab__semigroup__mult(_u10523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10524), _u10525)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10526), _u10528), _u10525) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u10523, _u10524, c_Groups_Otimes__class_Otimes(_u10523)), _u10527), _u10528), _u10525)) | ( hAPP(_u10526, skolem290(_u10528, _u10527, _u10526, _u10525, _u10524, _u10523)) != hAPP(_u10527, skolem290(_u10528, _u10527, _u10526, _u10525, _u10524, _u10523))) )).
% 12.29/12.54 cnf(matrix-4929, plain, ( ~class_Orderings_Olinorder(_u10530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10530), _u10531)) | ~hBOOL(hAPP(hAPP(c_member(_u10530), _u10532), _u10531)) | ( c_Big__Operators_Olinorder__class_OMax(_u10530, _u10531) = _u10532) | hBOOL(hAPP(hAPP(c_member(_u10530), skolem291(_u10532, _u10531, _u10530)), _u10531)) )).
% 12.29/12.54 cnf(matrix-4930, plain, ( ~class_Orderings_Olinorder(_u10530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10530), _u10531)) | ~hBOOL(hAPP(hAPP(c_member(_u10530), _u10532), _u10531)) | ( c_Big__Operators_Olinorder__class_OMax(_u10530, _u10531) = _u10532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10530), skolem291(_u10532, _u10531, _u10530)), _u10532)) )).
% 12.29/12.54 cnf(matrix-4931, plain, ( ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10534), _u10535)) | ~hBOOL(hAPP(hAPP(c_member(_u10534), _u10536), _u10535)) | ( c_Big__Operators_Olinorder__class_OMin(_u10534, _u10535) = _u10536) | hBOOL(hAPP(hAPP(c_member(_u10534), skolem292(_u10536, _u10535, _u10534)), _u10535)) )).
% 12.29/12.54 cnf(matrix-4932, plain, ( ~class_Orderings_Olinorder(_u10534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10534), _u10535)) | ~hBOOL(hAPP(hAPP(c_member(_u10534), _u10536), _u10535)) | ( c_Big__Operators_Olinorder__class_OMin(_u10534, _u10535) = _u10536) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10534), _u10536), skolem292(_u10536, _u10535, _u10534))) )).
% 12.29/12.54 cnf(matrix-4933, 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), _u10537))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10537) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10537)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-4934, plain, ( ~class_Int_Onumber__ring(_u10538) | ~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), _u10539))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10538), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10539)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10538), _u10539)) )).
% 12.29/12.54 cnf(matrix-4935, plain, ( ~class_Int_Onumber__ring(_u10538) | 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), _u10539))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10538), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10539)) = c_Groups_Ozero__class_Ozero(_u10538)) )).
% 12.29/12.54 cnf(matrix-4936, plain, ( ~class_Int_Onumber__ring(_u10540) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10540), _u10541) = hAPP(c_Int_Oring__1__class_Oof__int(_u10540), _u10541)) )).
% 12.29/12.54 cnf(matrix-4937, plain, ( ~class_Int_Onumber__ring(_u10542) | ~class_Int_Oring__char__0(_u10542) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10543) != hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10544)) | ( _u10543 = _u10544) )).
% 12.29/12.54 cnf(matrix-4938, plain, ( ~class_Int_Onumber__ring(_u10542) | ~class_Int_Oring__char__0(_u10542) | ( _u10543 != _u10544) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10543) = hAPP(c_Int_Onumber__class_Onumber__of(_u10542), _u10544)) )).
% 12.29/12.54 cnf(matrix-4939, plain, ( ~class_Int_Onumber(_u10545) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546) != _u10547) | ( _u10547 = hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546)) )).
% 12.29/12.54 cnf(matrix-4940, plain, ( ~class_Int_Onumber(_u10545) | ( _u10547 != hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10545), _u10546) = _u10547) )).
% 12.29/12.54 cnf(matrix-4941, plain, ( ~class_Int_Onumber__ring(_u10548) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10548), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10549)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10548), _u10549)) )).
% 12.29/12.54 cnf(matrix-4942, plain, ( ~class_Int_Onumber__ring(_u10550) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10551))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10550), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10551)) = c_Groups_Ozero__class_Ozero(_u10550)) )).
% 12.29/12.54 cnf(matrix-4943, plain, ( ~class_Int_Onumber__ring(_u10550) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10551))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10550), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10551)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10550), _u10551)) )).
% 12.29/12.54 cnf(matrix-4944, plain, ( ~class_Int_Onumber(_u10552) | ~class_Orderings_Olinorder(_u10552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553))) )).
% 12.29/12.54 cnf(matrix-4945, plain, ( ~class_Int_Onumber(_u10552) | ~class_Orderings_Olinorder(_u10552) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10552), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10553)), hAPP(c_Int_Onumber__class_Onumber__of(_u10552), _u10554))) )).
% 12.29/12.54 cnf(matrix-4946, plain, ( ~class_Int_Onumber(_u10555) | ~class_Rings_Osemiring(_u10555) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10555), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10555), _u10556), _u10557)), hAPP(c_Int_Onumber__class_Onumber__of(_u10555), _u10558)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10555), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10555), _u10556), hAPP(c_Int_Onumber__class_Onumber__of(_u10555), _u10558))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10555), _u10557), hAPP(c_Int_Onumber__class_Onumber__of(_u10555), _u10558)))) )).
% 12.29/12.54 cnf(matrix-4947, plain, ( ~class_Int_Onumber(_u10559) | ~class_Rings_Osemiring(_u10559) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10559), hAPP(c_Int_Onumber__class_Onumber__of(_u10559), _u10560)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10559), _u10561), _u10562)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10559), hAPP(c_Int_Onumber__class_Onumber__of(_u10559), _u10560)), _u10561)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10559), hAPP(c_Int_Onumber__class_Onumber__of(_u10559), _u10560)), _u10562))) )).
% 12.29/12.54 cnf(matrix-4948, plain, ( ~class_Int_Onumber(_u10563) | ~class_Rings_Oring(_u10563) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10563), hAPP(c_Int_Onumber__class_Onumber__of(_u10563), _u10564)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10563), _u10565), _u10566)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10563), hAPP(c_Int_Onumber__class_Onumber__of(_u10563), _u10564)), _u10565)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10563), hAPP(c_Int_Onumber__class_Onumber__of(_u10563), _u10564)), _u10566))) )).
% 12.29/12.54 cnf(matrix-4949, plain, ( ~class_Int_Onumber(_u10567) | ~class_Rings_Oring(_u10567) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10567), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10567), _u10568), _u10569)), hAPP(c_Int_Onumber__class_Onumber__of(_u10567), _u10570)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10567), _u10568), hAPP(c_Int_Onumber__class_Onumber__of(_u10567), _u10570))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10567), _u10569), hAPP(c_Int_Onumber__class_Onumber__of(_u10567), _u10570)))) )).
% 12.29/12.54 cnf(matrix-4950, plain, ( ~class_Int_Onumber__ring(_u10571) | ~class_Rings_Olinordered__idom(_u10571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10571), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10572)), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10573))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10572), _u10573)) )).
% 12.29/12.54 cnf(matrix-4951, plain, ( ~class_Int_Onumber__ring(_u10571) | ~class_Rings_Olinordered__idom(_u10571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10572), _u10573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10571), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10572)), hAPP(c_Int_Onumber__class_Onumber__of(_u10571), _u10573))) )).
% 12.29/12.54 cnf(matrix-4952, plain, ( ~class_Int_Onumber__ring(_u10574) | ~class_Rings_Olinordered__idom(_u10574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10574), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10575)), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10575), _u10576)) )).
% 12.29/12.54 cnf(matrix-4953, plain, ( ~class_Int_Onumber__ring(_u10574) | ~class_Rings_Olinordered__idom(_u10574) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10575), _u10576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10574), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10575)), hAPP(c_Int_Onumber__class_Onumber__of(_u10574), _u10576))) )).
% 12.29/12.54 cnf(matrix-4954, plain, ( ~class_Int_Onumber(_u10577) | ~class_Orderings_Oord(_u10577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)) )).
% 12.29/12.54 cnf(matrix-4955, plain, ( ~class_Int_Onumber(_u10577) | ~class_Orderings_Oord(_u10577) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10577), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10578)), hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10577), _u10579)) )).
% 12.29/12.54 cnf(matrix-4956, plain, ( ~class_Int_Onumber(_u10580) | ~class_Orderings_Oord(_u10580) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582)) )).
% 12.29/12.54 cnf(matrix-4957, plain, ( ~class_Int_Onumber(_u10580) | ~class_Orderings_Oord(_u10580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10580), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10582)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10580), _u10581)) )).
% 12.29/12.54 cnf(matrix-4958, plain, ( ~class_Int_Onumber__ring(_u10583) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10583), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10584), _u10585)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10583), hAPP(c_Int_Onumber__class_Onumber__of(_u10583), _u10584)), hAPP(c_Int_Onumber__class_Onumber__of(_u10583), _u10585))) )).
% 12.29/12.54 cnf(matrix-4959, plain, ( ~class_Int_Onumber__ring(_u10586) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10586), hAPP(c_Int_Onumber__class_Onumber__of(_u10586), _u10587)), hAPP(c_Int_Onumber__class_Onumber__of(_u10586), _u10588)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10586), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10587), _u10588))) )).
% 12.29/12.54 cnf(matrix-4960, plain, ( ~class_Int_Onumber__ring(_u10589) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10589), hAPP(c_Int_Onumber__class_Onumber__of(_u10589), _u10590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10589), hAPP(c_Int_Onumber__class_Onumber__of(_u10589), _u10591)), _u10592)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10589), hAPP(c_Int_Onumber__class_Onumber__of(_u10589), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10590), _u10591))), _u10592)) )).
% 12.29/12.54 cnf(matrix-4961, plain, ( ~class_Int_Onumber__ring(_u10593) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10594), _u10595)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10593), hAPP(c_Int_Onumber__class_Onumber__of(_u10593), _u10594)), hAPP(c_Int_Onumber__class_Onumber__of(_u10593), _u10595))) )).
% 12.29/12.54 cnf(matrix-4962, plain, ( ~class_Int_Onumber__ring(_u10596) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10596), hAPP(c_Int_Onumber__class_Onumber__of(_u10596), _u10597)), hAPP(c_Int_Onumber__class_Onumber__of(_u10596), _u10598)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10596), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10598))) )).
% 12.29/12.54 cnf(matrix-4963, plain, ( ~class_Int_Onumber__ring(_u10599) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10599), hAPP(c_Int_Onumber__class_Onumber__of(_u10599), _u10600)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10599), hAPP(c_Int_Onumber__class_Onumber__of(_u10599), _u10601)), _u10602)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10599), hAPP(c_Int_Onumber__class_Onumber__of(_u10599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10600), _u10601))), _u10602)) )).
% 12.29/12.54 cnf(matrix-4964, plain, ( ~class_Int_Onumber__ring(_u10603) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10604), _u10605)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10603), hAPP(c_Int_Onumber__class_Onumber__of(_u10603), _u10604)), hAPP(c_Int_Onumber__class_Onumber__of(_u10603), _u10605))) )).
% 12.29/12.54 cnf(matrix-4965, plain, ( ~class_Int_Onumber__ring(_u10606) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10606), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10607)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10606), hAPP(c_Int_Onumber__class_Onumber__of(_u10606), _u10607))) )).
% 12.29/12.54 cnf(matrix-4966, plain, ( ~class_Int_Onumber__ring(_u10608) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10608), hAPP(c_Int_Onumber__class_Onumber__of(_u10608), _u10609)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10608), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10609))) )).
% 12.29/12.54 cnf(matrix-4967, plain, ( ~class_Int_Onumber__ring(_u10610) | hBOOL(hAPP(hAPP(c_member(_u10610), hAPP(c_Int_Onumber__class_Onumber__of(_u10610), _u10611)), c_Int_Oring__1__class_OInts(_u10610))) )).
% 12.29/12.54 cnf(matrix-4968, plain, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) != _u10615) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) = c_Groups_Ozero__class_Ozero(_u10612)) | ( _u10613 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10612), _u10615), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614))) )).
% 12.29/12.54 cnf(matrix-4969, plain, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) != _u10615) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) != c_Groups_Ozero__class_Ozero(_u10612)) | ( _u10615 = c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.29/12.54 cnf(matrix-4970, plain, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) = _u10615) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) != c_Groups_Ozero__class_Ozero(_u10612)) | ( _u10615 != c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.29/12.54 cnf(matrix-4971, plain, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) = _u10615) | ( _u10613 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10612), _u10615), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614) = c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.29/12.54 cnf(matrix-4972, plain, ( ~class_Fields_Ofield__inverse__zero(_u10612) | ~class_Int_Onumber(_u10612) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10612), _u10613), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614)) = _u10615) | ( _u10613 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10612), _u10615), hAPP(c_Int_Onumber__class_Onumber__of(_u10612), _u10614))) | ( _u10615 != c_Groups_Ozero__class_Ozero(_u10612)) )).
% 12.29/12.54 cnf(matrix-4973, plain, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) != hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10618 = c_Groups_Ozero__class_Ozero(_u10616)) | ( _u10617 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10616), hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)), _u10618)) )).
% 12.29/12.54 cnf(matrix-4974, plain, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) != hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10618 != c_Groups_Ozero__class_Ozero(_u10616)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619) = c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.29/12.54 cnf(matrix-4975, plain, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) = hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10618 != c_Groups_Ozero__class_Ozero(_u10616)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619) != c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.29/12.54 cnf(matrix-4976, plain, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) = hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10617 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10616), hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)), _u10618)) | ( _u10618 = c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.29/12.54 cnf(matrix-4977, plain, ( ~class_Fields_Ofield__inverse__zero(_u10616) | ~class_Int_Onumber(_u10616) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10616), _u10617), _u10618) = hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)) | ( _u10617 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10616), hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619)), _u10618)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10616), _u10619) != c_Groups_Ozero__class_Ozero(_u10616)) )).
% 12.29/12.54 cnf(matrix-4978, plain, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( _u10623 = c_Groups_Ozero__class_Ozero(_u10620)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10620), hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621)), _u10623) = _u10622) )).
% 12.29/12.54 cnf(matrix-4979, plain, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( _u10623 != c_Groups_Ozero__class_Ozero(_u10620)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.29/12.54 cnf(matrix-4980, plain, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( _u10623 != c_Groups_Ozero__class_Ozero(_u10620)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.29/12.54 cnf(matrix-4981, plain, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10620), hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621)), _u10623) != _u10622) | ( _u10623 = c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.29/12.54 cnf(matrix-4982, plain, ( ~class_Fields_Ofield__inverse__zero(_u10620) | ~class_Int_Onumber(_u10620) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10620), _u10622), _u10623)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10620), hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621)), _u10623) != _u10622) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10620), _u10621) != c_Groups_Ozero__class_Ozero(_u10620)) )).
% 12.29/12.54 cnf(matrix-4983, plain, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) = c_Groups_Ozero__class_Ozero(_u10624)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10624), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627)) = _u10626) )).
% 12.29/12.54 cnf(matrix-4984, plain, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) != c_Groups_Ozero__class_Ozero(_u10624)) | ( _u10625 = c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.29/12.54 cnf(matrix-4985, plain, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) != c_Groups_Ozero__class_Ozero(_u10624)) | ( _u10625 != c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.29/12.54 cnf(matrix-4986, plain, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10624), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627)) != _u10626) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627) = c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.29/12.54 cnf(matrix-4987, plain, ( ~class_Fields_Ofield__inverse__zero(_u10624) | ~class_Int_Onumber(_u10624) | ( _u10625 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10624), _u10626), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10624), _u10625), hAPP(c_Int_Onumber__class_Onumber__of(_u10624), _u10627)) != _u10626) | ( _u10625 != c_Groups_Ozero__class_Ozero(_u10624)) )).
% 12.29/12.54 cnf(matrix-4988, plain, ( ~class_Int_Onumber__ring(_u10628) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10628), hAPP(c_Int_Onumber__class_Onumber__of(_u10628), _u10629)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10628), hAPP(c_Int_Onumber__class_Onumber__of(_u10628), _u10630)), _u10631)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10628), hAPP(c_Int_Onumber__class_Onumber__of(_u10628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10629), _u10630))), _u10631)) )).
% 12.29/12.54 cnf(matrix-4989, plain, ( ~class_Int_Onumber__ring(_u10632) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10632), hAPP(c_Groups_Ouminus__class_Ouminus(_u10632), hAPP(c_Int_Onumber__class_Onumber__of(_u10632), _u10633))), _u10634) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10632), hAPP(c_Int_Onumber__class_Onumber__of(_u10632), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10633))), _u10634)) )).
% 12.29/12.54 cnf(matrix-4990, plain, ( ~class_Int_Onumber__ring(_u10635) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10635), hAPP(c_Int_Onumber__class_Onumber__of(_u10635), _u10636)), hAPP(c_Int_Onumber__class_Onumber__of(_u10635), _u10637)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10635), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10636), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10637)))) )).
% 12.29/12.54 cnf(matrix-4991, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) )).
% 12.29/12.54 cnf(matrix-4992, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) )).
% 12.29/12.54 cnf(matrix-4993, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.29/12.54 cnf(matrix-4994, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.29/12.54 cnf(matrix-4995, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) )).
% 12.29/12.54 cnf(matrix-4996, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.29/12.54 cnf(matrix-4997, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))) )).
% 12.29/12.54 cnf(matrix-4998, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.29/12.54 cnf(matrix-4999, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)), c_Groups_Ozero__class_Ozero(_u10638))) )).
% 12.29/12.54 cnf(matrix-5000, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10638) | ~class_Int_Onumber(_u10638) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10638), _u10639), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), _u10639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10638), _u10641), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10640))), _u10639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10638), c_Groups_Ozero__class_Ozero(_u10638)), _u10641)) )).
% 12.29/12.54 cnf(matrix-5001, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) )).
% 12.29/12.54 cnf(matrix-5002, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) )).
% 12.29/12.54 cnf(matrix-5003, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.29/12.54 cnf(matrix-5004, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.29/12.54 cnf(matrix-5005, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) )).
% 12.29/12.54 cnf(matrix-5006, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.29/12.54 cnf(matrix-5007, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), _u10644)) )).
% 12.29/12.54 cnf(matrix-5008, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.29/12.54 cnf(matrix-5009, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10644), c_Groups_Ozero__class_Ozero(_u10642))) )).
% 12.29/12.54 cnf(matrix-5010, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10642) | ~class_Int_Onumber(_u10642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10642), _u10643), _u10644)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), _u10643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10642), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645)), _u10644)), _u10643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10642), c_Groups_Ozero__class_Ozero(_u10642)), hAPP(c_Int_Onumber__class_Onumber__of(_u10642), _u10645))) )).
% 12.29/12.54 cnf(matrix-5011, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) )).
% 12.29/12.54 cnf(matrix-5012, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) )).
% 12.29/12.54 cnf(matrix-5013, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5014, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5015, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5016, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5017, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), c_Groups_Ozero__class_Ozero(_u10646)), _u10649)) )).
% 12.29/12.54 cnf(matrix-5018, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5019, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10649), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5020, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10646) | ~class_Int_Onumber(_u10646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10646), _u10648), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649)), _u10648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), _u10648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), _u10649))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10646), hAPP(c_Int_Onumber__class_Onumber__of(_u10646), _u10647)), c_Groups_Ozero__class_Ozero(_u10646))) )).
% 12.29/12.54 cnf(matrix-5021, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) )).
% 12.29/12.54 cnf(matrix-5022, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) )).
% 12.29/12.54 cnf(matrix-5023, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5024, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5025, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5026, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5027, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), c_Groups_Ozero__class_Ozero(_u10650)), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))) )).
% 12.29/12.54 cnf(matrix-5028, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5029, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5030, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10650) | ~class_Int_Onumber(_u10650) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10650), _u10652), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653))), _u10652)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10650), _u10651), hAPP(c_Int_Onumber__class_Onumber__of(_u10650), _u10653)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10650), _u10651), c_Groups_Ozero__class_Ozero(_u10650))) )).
% 12.29/12.54 cnf(matrix-5031, plain, ( ~class_Int_Onumber__ring(_u10654) | ~class_Rings_Olinordered__idom(_u10654) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)), c_Groups_Ozero__class_Ozero(_u10654))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655))) )).
% 12.29/12.54 cnf(matrix-5032, plain, ( ~class_Int_Onumber__ring(_u10654) | ~class_Rings_Olinordered__idom(_u10654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)), c_Groups_Ozero__class_Ozero(_u10654))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10654), hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10654), _u10655)) )).
% 12.29/12.54 cnf(matrix-5033, plain, ( ~class_Int_Onumber__ring(_u10656) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10656), hAPP(c_Int_Onumber__class_Onumber__of(_u10656), _u10657)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10656), _u10658), hAPP(c_Int_Onumber__class_Onumber__of(_u10656), _u10659))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10656), hAPP(c_Int_Onumber__class_Onumber__of(_u10656), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10657), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10659)))), _u10658)) )).
% 12.29/12.54 cnf(matrix-5034, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) )).
% 12.29/12.54 cnf(matrix-5035, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) )).
% 12.29/12.54 cnf(matrix-5036, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.29/12.54 cnf(matrix-5037, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.29/12.54 cnf(matrix-5038, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) )).
% 12.29/12.54 cnf(matrix-5039, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.29/12.54 cnf(matrix-5040, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))) )).
% 12.29/12.54 cnf(matrix-5041, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.29/12.54 cnf(matrix-5042, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10660), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)), c_Groups_Ozero__class_Ozero(_u10660))) )).
% 12.29/12.54 cnf(matrix-5043, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10660) | ~class_Int_Onumber(_u10660) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10660), _u10661), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), _u10661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10660), _u10663), hAPP(c_Int_Onumber__class_Onumber__of(_u10660), _u10662))), _u10661)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10660), c_Groups_Ozero__class_Ozero(_u10660)), _u10663)) )).
% 12.29/12.54 cnf(matrix-5044, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) )).
% 12.29/12.54 cnf(matrix-5045, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) )).
% 12.29/12.54 cnf(matrix-5046, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.29/12.54 cnf(matrix-5047, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.29/12.54 cnf(matrix-5048, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) )).
% 12.29/12.54 cnf(matrix-5049, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.29/12.54 cnf(matrix-5050, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), _u10666)) )).
% 12.29/12.54 cnf(matrix-5051, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.29/12.54 cnf(matrix-5052, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10664), _u10666), c_Groups_Ozero__class_Ozero(_u10664))) )).
% 12.29/12.54 cnf(matrix-5053, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10664) | ~class_Int_Onumber(_u10664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10664), _u10665), _u10666)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), _u10665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10664), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667)), _u10666)), _u10665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10664), c_Groups_Ozero__class_Ozero(_u10664)), hAPP(c_Int_Onumber__class_Onumber__of(_u10664), _u10667))) )).
% 12.29/12.54 cnf(matrix-5054, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) )).
% 12.29/12.54 cnf(matrix-5055, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) )).
% 12.29/12.54 cnf(matrix-5056, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5057, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5058, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5059, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5060, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), c_Groups_Ozero__class_Ozero(_u10668)), _u10671)) )).
% 12.29/12.54 cnf(matrix-5061, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5062, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10668), _u10671), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5063, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10668) | ~class_Int_Onumber(_u10668) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10668), _u10670), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671)), _u10670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), _u10670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), _u10671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10668), hAPP(c_Int_Onumber__class_Onumber__of(_u10668), _u10669)), c_Groups_Ozero__class_Ozero(_u10668))) )).
% 12.29/12.54 cnf(matrix-5064, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) )).
% 12.29/12.54 cnf(matrix-5065, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) )).
% 12.29/12.54 cnf(matrix-5066, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5067, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5068, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5069, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5070, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), c_Groups_Ozero__class_Ozero(_u10672)), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))) )).
% 12.29/12.54 cnf(matrix-5071, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5072, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10672), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5073, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10672) | ~class_Int_Onumber(_u10672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10672), _u10674), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675))), _u10674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10672), _u10673), hAPP(c_Int_Onumber__class_Onumber__of(_u10672), _u10675)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10672), _u10673), c_Groups_Ozero__class_Ozero(_u10672))) )).
% 12.29/12.54 cnf(matrix-5074, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10677))) | ( 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), _u10677)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5075, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10678))) | ( 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), _u10678)) = 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), _u10678)))) )).
% 12.29/12.54 cnf(matrix-5076, 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), _u10679)) = 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), _u10679)))) )).
% 12.29/12.54 cnf(matrix-5077, plain, ( ~class_Int_Onumber__ring(_u10680) | ~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), _u10681))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10681))) = hAPP(hAPP(c_HOL_OLet(_u10680, _u10680), hAPP(hAPP(c_Power_Opower__class_Opower(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10681))), hAPP(hAPP(c_COMBS(_u10680, _u10680, _u10680), hAPP(hAPP(c_COMBB(_u10680, tc_fun(_u10680, _u10680), _u10680), c_Groups_Otimes__class_Otimes(_u10680)), hAPP(c_Groups_Otimes__class_Otimes(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)))), c_COMBI(_u10680)))) )).
% 12.29/12.54 cnf(matrix-5078, plain, ( ~class_Int_Onumber__ring(_u10680) | 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), _u10681))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10680), hAPP(c_Int_Onumber__class_Onumber__of(_u10680), _u10682)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10681))) = c_Groups_Oone__class_Oone(_u10680)) )).
% 12.29/12.54 cnf(matrix-5079, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10685))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10685)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10687)) = 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), _u10687))) )).
% 12.29/12.54 cnf(matrix-5080, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10686))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10686)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10688)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10686)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10688)))) )).
% 12.29/12.54 cnf(matrix-5081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10691)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10691), _u10693)) )).
% 12.29/12.54 cnf(matrix-5082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10692), _u10694)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10692)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10694))) )).
% 12.29/12.54 cnf(matrix-5083, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10695) = _u10695) )).
% 12.29/12.54 cnf(matrix-5084, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10698)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10698), _u10700)) )).
% 12.29/12.54 cnf(matrix-5085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10699), _u10701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10699)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10701))) )).
% 12.29/12.54 cnf(matrix-5086, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10702)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10703)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10702), _u10703))) )).
% 12.29/12.54 cnf(matrix-5087, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10704)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10705)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10704), _u10705))) )).
% 12.29/12.54 cnf(matrix-5088, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10706)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10706))) )).
% 12.29/12.54 cnf(matrix-5089, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10708)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10708))) )).
% 12.29/12.54 cnf(matrix-5090, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10709))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10709)))) )).
% 12.29/12.54 cnf(matrix-5091, plain, ( ( c_Int_OBit1(_u10712) != c_Int_OBit1(_u10714)) | ( _u10712 = _u10714) )).
% 12.29/12.54 cnf(matrix-5092, plain, ( ( _u10713 != _u10715) | ( c_Int_OBit1(_u10713) = c_Int_OBit1(_u10715)) )).
% 12.29/12.54 cnf(matrix-5093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10718)), c_Int_OBit1(_u10720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10718), _u10720)) )).
% 12.29/12.54 cnf(matrix-5094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10719), _u10721)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10719)), c_Int_OBit1(_u10721))) )).
% 12.29/12.54 cnf(matrix-5095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10724)), c_Int_OBit1(_u10726))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10724), _u10726)) )).
% 12.29/12.54 cnf(matrix-5096, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10725), _u10727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10725)), c_Int_OBit1(_u10727))) )).
% 12.29/12.54 cnf(matrix-5097, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10730)), c_Int_OBit1(_u10732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10730), _u10732)) )).
% 12.29/12.54 cnf(matrix-5098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10731), _u10733)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10731)), c_Int_OBit1(_u10733))) )).
% 12.29/12.54 cnf(matrix-5099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10736)), c_Int_OBit1(_u10738))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10736), _u10738)) )).
% 12.29/12.54 cnf(matrix-5100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10737), _u10739)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10737)), c_Int_OBit1(_u10739))) )).
% 12.29/12.54 cnf(matrix-5101, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10740) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u10740)) )).
% 12.29/12.54 cnf(matrix-5102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10742)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10742), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10743), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10743)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5104, plain, ( ( c_Int_OBit1(_u10744) = 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)), _u10744)), _u10744)) )).
% 12.29/12.54 cnf(matrix-5105, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10745)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10745)) )).
% 12.29/12.54 cnf(matrix-5106, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10746) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10746))) )).
% 12.29/12.54 cnf(matrix-5107, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10748))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10748)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5108, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10749))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10749)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10749)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 12.29/12.54 cnf(matrix-5109, plain, ( ~class_Int_Onumber__ring(_u10750) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10750), c_Int_OBit1(_u10751)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10750), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10750), c_Groups_Oone__class_Oone(_u10750)), hAPP(c_Int_Onumber__class_Onumber__of(_u10750), _u10751))), hAPP(c_Int_Onumber__class_Onumber__of(_u10750), _u10751))) )).
% 12.29/12.54 cnf(matrix-5110, plain, ( ~class_Int_Onumber__ring(_u10752) | ~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), _u10753))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10752), _u10754), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10753))) = hAPP(hAPP(c_HOL_OLet(_u10752, _u10752), hAPP(hAPP(c_Power_Opower__class_Opower(_u10752), _u10754), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10753))), hAPP(hAPP(c_COMBS(_u10752, _u10752, _u10752), hAPP(hAPP(c_COMBB(_u10752, tc_fun(_u10752, _u10752), _u10752), c_Groups_Otimes__class_Otimes(_u10752)), hAPP(c_Groups_Otimes__class_Otimes(_u10752), _u10754))), c_COMBI(_u10752)))) )).
% 12.29/12.54 cnf(matrix-5111, plain, ( ~class_Int_Onumber__ring(_u10752) | 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), _u10753))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10752), _u10754), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10753))) = c_Groups_Oone__class_Oone(_u10752)) )).
% 12.29/12.54 cnf(matrix-5112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10757))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10759), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10757))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10759), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10757))), 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), _u10759))), c_COMBI(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-5113, 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), _u10758))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10760), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u10758))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5114, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10761)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10762)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10761), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10762)))) )).
% 12.29/12.54 cnf(matrix-5115, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10763))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10763) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5116, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10766) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768)) | ( _u10766 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768))) )).
% 12.29/12.54 cnf(matrix-5117, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10766) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10768)) | 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), _u10768))) )).
% 12.29/12.54 cnf(matrix-5118, plain, ( ( _u10767 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10769))) | ~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), _u10769))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10767) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10769)) )).
% 12.29/12.54 cnf(matrix-5119, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10772) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10774)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5120, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10772) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10774)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5121, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10772) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10774)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10772))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10774))) | ( _u10772 = _u10774) )).
% 12.29/12.54 cnf(matrix-5122, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) | ( _u10773 != _u10775) )).
% 12.29/12.54 cnf(matrix-5123, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) )).
% 12.29/12.54 cnf(matrix-5124, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10773 != _u10775) )).
% 12.29/12.54 cnf(matrix-5125, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773))) )).
% 12.29/12.54 cnf(matrix-5126, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) | ( _u10773 != _u10775) )).
% 12.29/12.54 cnf(matrix-5127, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775))) )).
% 12.29/12.54 cnf(matrix-5128, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10773) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10775)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10775)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10773) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10773 != _u10775) )).
% 12.29/12.54 cnf(matrix-5129, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10779))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10779)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10781)), _u10783)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10781)), _u10783)) )).
% 12.29/12.54 cnf(matrix-5130, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10780))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10782))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10780)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10782)), _u10784)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10780)), _u10784)) )).
% 12.29/12.54 cnf(matrix-5131, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10780))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10782))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10780)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10782)), _u10784)) = 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), _u10780), _u10782))), _u10784)) )).
% 12.29/12.54 cnf(matrix-5132, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10786))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10786)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5133, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10787))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10787)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10787)) )).
% 12.29/12.54 cnf(matrix-5134, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10790))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10790), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10792)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5135, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10791))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10793))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10791), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10793)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10791)) )).
% 12.29/12.54 cnf(matrix-5136, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10791))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10793))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10791), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10793)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10791), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10793)))) )).
% 12.29/12.54 cnf(matrix-5137, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10796))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10796)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10798)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5138, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10797))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10797)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10799)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10797)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10799)))) )).
% 12.29/12.54 cnf(matrix-5139, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10802))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10802)), _u10804) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10804)) )).
% 12.29/12.54 cnf(matrix-5140, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10803))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10803)), _u10805) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10803)), _u10805))) )).
% 12.29/12.54 cnf(matrix-5141, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10808))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10808)), _u10810)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10810)) )).
% 12.29/12.54 cnf(matrix-5142, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10809))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10809)), _u10811)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10809))), _u10811)) )).
% 12.29/12.54 cnf(matrix-5143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10814), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10814)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10816)) )).
% 12.29/12.54 cnf(matrix-5144, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10815), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10817)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10815)) = 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), _u10817), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10815)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 12.29/12.54 cnf(matrix-5145, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10818)), hAPP(c_Nat_OSuc, _u10819)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10818))), 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)), _u10819))))) )).
% 12.29/12.54 cnf(matrix-5146, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10820)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10821)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10821))), 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), _u10820)), c_Int_Onat))))) )).
% 12.29/12.54 cnf(matrix-5147, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5148, plain, ( ( c_Int_OPls != c_Int_OBit1(_u10822)) )).
% 12.29/12.54 cnf(matrix-5149, plain, ( ( c_Int_OBit1(_u10823) != c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5150, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5151, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10824), c_Int_OPls) = _u10824) )).
% 12.29/12.54 cnf(matrix-5152, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5153, plain, ( ( c_Int_Osucc(c_Int_Opred(_u10825)) = _u10825) )).
% 12.29/12.54 cnf(matrix-5154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5155, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5156, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10826) = c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5157, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10827) = _u10827) )).
% 12.29/12.54 cnf(matrix-5158, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10828), c_Int_OPls) = _u10828) )).
% 12.29/12.54 cnf(matrix-5159, plain, ( ~class_Int_Onumber__ring(_u10829) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10829), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10829)) )).
% 12.29/12.54 cnf(matrix-5160, plain, ( ~class_Int_Onumber__ring(_u10830) | ( c_Groups_Ozero__class_Ozero(_u10830) = hAPP(c_Int_Onumber__class_Onumber__of(_u10830), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5161, plain, ( ~class_Int_Onumber__ring(_u10831) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10831), _u10832), hAPP(c_Int_Onumber__class_Onumber__of(_u10831), c_Int_OPls)) = _u10832) )).
% 12.29/12.54 cnf(matrix-5162, plain, ( ~class_Int_Onumber__ring(_u10833) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10833), hAPP(c_Int_Onumber__class_Onumber__of(_u10833), c_Int_OPls)), _u10834) = _u10834) )).
% 12.29/12.54 cnf(matrix-5163, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5164, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5165, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5166, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10836))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10836)) )).
% 12.29/12.54 cnf(matrix-5168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10837))) )).
% 12.29/12.54 cnf(matrix-5169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10839)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10839), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10840), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10840)), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10841)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10842)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10841)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10842), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10841)))) )).
% 12.29/12.54 cnf(matrix-5172, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10844), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10844)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5174, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10845), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10845)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10845))) )).
% 12.29/12.54 cnf(matrix-5175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10847), 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), _u10847)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5176, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10848), 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), _u10848)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10848))) )).
% 12.29/12.54 cnf(matrix-5177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10851), _u10853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10851)), _u10853)) )).
% 12.29/12.54 cnf(matrix-5178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10852)), _u10854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10852), _u10854)) )).
% 12.29/12.54 cnf(matrix-5179, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u10855)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10855)))) )).
% 12.29/12.54 cnf(matrix-5180, plain, ( ( c_Int_Opred(_u10856) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10856), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5181, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10858), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10858)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5182, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10859), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10859)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10859))) )).
% 12.29/12.54 cnf(matrix-5183, plain, ( ~class_Int_Onumber__ring(_u10860) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10860), hAPP(c_Int_Onumber__class_Onumber__of(_u10860), c_Int_OBit1(c_Int_OPls))), _u10861) = _u10861) )).
% 12.29/12.54 cnf(matrix-5184, plain, ( ~class_Int_Onumber__ring(_u10862) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10862), _u10863), hAPP(c_Int_Onumber__class_Onumber__of(_u10862), c_Int_OBit1(c_Int_OPls))) = _u10863) )).
% 12.29/12.54 cnf(matrix-5185, plain, ( ~class_Fields_Ofield__inverse__zero(_u10864) | ~class_Int_Onumber__ring(_u10864) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10864), _u10865), hAPP(c_Int_Onumber__class_Onumber__of(_u10864), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u10864)) )).
% 12.29/12.54 cnf(matrix-5186, plain, ( ~class_Int_Onumber__ring(_u10866) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10866), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10866)) )).
% 12.29/12.54 cnf(matrix-5187, plain, ( ~class_Int_Onumber__ring(_u10867) | ( c_Groups_Oone__class_Oone(_u10867) = hAPP(c_Int_Onumber__class_Onumber__of(_u10867), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5188, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10869)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10869), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5189, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10870), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10870)) )).
% 12.29/12.54 cnf(matrix-5190, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10872) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10872), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10873), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10873) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5192, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10875)) )).
% 12.29/12.54 cnf(matrix-5194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10876))) )).
% 12.29/12.54 cnf(matrix-5195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10878)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10878), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5196, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10879), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10879)), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5197, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10884))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10882), _u10884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10884)) )).
% 12.29/12.54 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10884))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10882), _u10884)) )).
% 12.29/12.54 cnf(matrix-5199, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10883)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10885))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10883), _u10885)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10885)) )).
% 12.29/12.54 cnf(matrix-5200, plain, ( ~class_Fields_Ofield(_u10886) | ~class_Int_Onumber__ring(_u10886) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10886), _u10887), hAPP(c_Int_Onumber__class_Onumber__of(_u10886), c_Int_OBit1(c_Int_OPls))) = _u10887) )).
% 12.29/12.54 cnf(matrix-5201, plain, ( ~class_Fields_Ofield(_u10888) | ~class_Int_Onumber__ring(_u10888) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10888), _u10889), hAPP(c_Int_Onumber__class_Onumber__of(_u10888), c_Int_OBit1(c_Int_OPls))) = _u10889) )).
% 12.29/12.54 cnf(matrix-5202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10892)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10894))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10892), _u10894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10892), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5203, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10893)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10893), _u10895)) )).
% 12.29/12.54 cnf(matrix-5204, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10893)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10893), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5205, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5206, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5207, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5208, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5209, plain, ( ( c_Int_Osucc(_u10896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10896), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5210, plain, ( ~class_Int_Onumber__ring(_u10897) | ~class_Rings_Olinordered__idom(_u10897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10897), hAPP(c_Int_Onumber__class_Onumber__of(_u10897), _u10898)), c_Groups_Ozero__class_Ozero(_u10897))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10898), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5211, plain, ( ~class_Int_Onumber__ring(_u10897) | ~class_Rings_Olinordered__idom(_u10897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10898), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10897), hAPP(c_Int_Onumber__class_Onumber__of(_u10897), _u10898)), c_Groups_Ozero__class_Ozero(_u10897))) )).
% 12.29/12.54 cnf(matrix-5212, plain, ( ~class_Int_Onumber__ring(_u10899) | ~class_Rings_Olinordered__idom(_u10899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10899), c_Groups_Ozero__class_Ozero(_u10899)), hAPP(c_Int_Onumber__class_Onumber__of(_u10899), _u10900))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10900)) )).
% 12.29/12.54 cnf(matrix-5213, plain, ( ~class_Int_Onumber__ring(_u10899) | ~class_Rings_Olinordered__idom(_u10899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10900)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10899), c_Groups_Ozero__class_Ozero(_u10899)), hAPP(c_Int_Onumber__class_Onumber__of(_u10899), _u10900))) )).
% 12.29/12.54 cnf(matrix-5214, plain, ( ~class_Int_Onumber__ring(_u10901) | ~class_Rings_Olinordered__idom(_u10901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10901), c_Groups_Ozero__class_Ozero(_u10901)), hAPP(c_Int_Onumber__class_Onumber__of(_u10901), _u10902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10902)) )).
% 12.29/12.54 cnf(matrix-5215, plain, ( ~class_Int_Onumber__ring(_u10901) | ~class_Rings_Olinordered__idom(_u10901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10901), c_Groups_Ozero__class_Ozero(_u10901)), hAPP(c_Int_Onumber__class_Onumber__of(_u10901), _u10902))) )).
% 12.29/12.54 cnf(matrix-5216, plain, ( ~class_Int_Onumber__ring(_u10903) | ~class_Rings_Olinordered__idom(_u10903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10903), hAPP(c_Int_Onumber__class_Onumber__of(_u10903), _u10904)), c_Groups_Ozero__class_Ozero(_u10903))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10904), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5217, plain, ( ~class_Int_Onumber__ring(_u10903) | ~class_Rings_Olinordered__idom(_u10903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10904), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10903), hAPP(c_Int_Onumber__class_Onumber__of(_u10903), _u10904)), c_Groups_Ozero__class_Ozero(_u10903))) )).
% 12.29/12.54 cnf(matrix-5218, 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), _u10906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10906)) )).
% 12.29/12.54 cnf(matrix-5219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10907)) | 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), _u10907))) )).
% 12.29/12.54 cnf(matrix-5220, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.29/12.54 cnf(matrix-5221, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5222, plain, ( ~class_Groups_Omonoid__mult(_u10908) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10908), _u10909), 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(_u10908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10908), _u10909), _u10909)), _u10909)) )).
% 12.29/12.54 cnf(matrix-5223, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5224, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10910))) = 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)))), _u10910)) )).
% 12.29/12.54 cnf(matrix-5225, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10913), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10913)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10915)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10915)) )).
% 12.29/12.54 cnf(matrix-5226, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10914), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10916), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10914)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10916)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10914)) )).
% 12.29/12.54 cnf(matrix-5227, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10914), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10916), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10914)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10916)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10914), _u10916))) )).
% 12.29/12.54 cnf(matrix-5228, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5229, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5230, plain, ( ~class_Int_Onumber__ring(_u10917) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10917), c_Int_Osucc(_u10918)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10917), c_Groups_Oone__class_Oone(_u10917)), hAPP(c_Int_Onumber__class_Onumber__of(_u10917), _u10918))) )).
% 12.29/12.54 cnf(matrix-5231, plain, ( ~class_Int_Onumber__ring(_u10919) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10919), c_Int_Opred(_u10920)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10919), hAPP(c_Groups_Ouminus__class_Ouminus(_u10919), c_Groups_Oone__class_Oone(_u10919))), hAPP(c_Int_Onumber__class_Onumber__of(_u10919), _u10920))) )).
% 12.29/12.54 cnf(matrix-5232, plain, ( ~class_Int_Onumber__ring(_u10921) | ~class_Rings_Olinordered__idom(_u10921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10921), hAPP(c_Int_Onumber__class_Onumber__of(_u10921), _u10922)), c_Groups_Oone__class_Oone(_u10921))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10922), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5233, plain, ( ~class_Int_Onumber__ring(_u10921) | ~class_Rings_Olinordered__idom(_u10921) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10922), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10921), hAPP(c_Int_Onumber__class_Onumber__of(_u10921), _u10922)), c_Groups_Oone__class_Oone(_u10921))) )).
% 12.29/12.54 cnf(matrix-5234, plain, ( ~class_Int_Onumber__ring(_u10923) | ~class_Rings_Olinordered__idom(_u10923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10923), c_Groups_Oone__class_Oone(_u10923)), hAPP(c_Int_Onumber__class_Onumber__of(_u10923), _u10924))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10924)) )).
% 12.29/12.54 cnf(matrix-5235, plain, ( ~class_Int_Onumber__ring(_u10923) | ~class_Rings_Olinordered__idom(_u10923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10923), c_Groups_Oone__class_Oone(_u10923)), hAPP(c_Int_Onumber__class_Onumber__of(_u10923), _u10924))) )).
% 12.29/12.54 cnf(matrix-5236, plain, ( ~class_Int_Onumber__ring(_u10925) | ~class_Rings_Olinordered__idom(_u10925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10925), hAPP(c_Int_Onumber__class_Onumber__of(_u10925), _u10926)), c_Groups_Oone__class_Oone(_u10925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10926), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5237, plain, ( ~class_Int_Onumber__ring(_u10925) | ~class_Rings_Olinordered__idom(_u10925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10926), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10925), hAPP(c_Int_Onumber__class_Onumber__of(_u10925), _u10926)), c_Groups_Oone__class_Oone(_u10925))) )).
% 12.29/12.54 cnf(matrix-5238, plain, ( ~class_Int_Onumber__ring(_u10927) | ~class_Rings_Olinordered__idom(_u10927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10927), c_Groups_Oone__class_Oone(_u10927)), hAPP(c_Int_Onumber__class_Onumber__of(_u10927), _u10928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10928)) )).
% 12.29/12.54 cnf(matrix-5239, plain, ( ~class_Int_Onumber__ring(_u10927) | ~class_Rings_Olinordered__idom(_u10927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10928)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10927), c_Groups_Oone__class_Oone(_u10927)), hAPP(c_Int_Onumber__class_Onumber__of(_u10927), _u10928))) )).
% 12.29/12.54 cnf(matrix-5240, plain, ( ~class_Int_Onumber__ring(_u10929) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10929), hAPP(c_Int_Onumber__class_Onumber__of(_u10929), _u10930)), c_Groups_Oone__class_Oone(_u10929)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10929), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10930), c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5241, plain, ( ~class_Int_Onumber__ring(_u10931) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10931), c_Groups_Oone__class_Oone(_u10931)), hAPP(c_Int_Onumber__class_Onumber__of(_u10931), _u10932)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10931), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10932))) )).
% 12.29/12.54 cnf(matrix-5242, 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)), _u10933)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10934)), _u10933) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10934), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10933), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10938), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10938)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10940)), _u10942)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5244, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10939), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10939)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10941)), _u10943)) = 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), _u10939), _u10941))), _u10943)) )).
% 12.29/12.54 cnf(matrix-5245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10946), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10946)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10948)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5246, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10947), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10947)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10949)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10947), _u10949))) )).
% 12.29/12.54 cnf(matrix-5247, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10951)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10951) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5248, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10952) != 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(_u10952)))) )).
% 12.29/12.54 cnf(matrix-5249, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10953, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10954)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10953, 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)))), _u10954))) )).
% 12.29/12.54 cnf(matrix-5250, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10955))), _u10956) = 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)))), _u10955), _u10956)) )).
% 12.29/12.54 cnf(matrix-5251, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10957))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10958)) = 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)))), _u10957), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10958))) )).
% 12.29/12.54 cnf(matrix-5252, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10959), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10960)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10959), 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)))), _u10960))) )).
% 12.29/12.54 cnf(matrix-5253, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10961)))), _u10962) = 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)))), _u10961)), _u10962)) )).
% 12.29/12.54 cnf(matrix-5254, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10963)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10964)) = 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)))), _u10963)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10964))) )).
% 12.29/12.54 cnf(matrix-5255, plain, ( ~class_Int_Onumber__ring(_u10965) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10965), c_Groups_Oone__class_Oone(_u10965)), hAPP(c_Int_Onumber__class_Onumber__of(_u10965), _u10966)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10965), 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), _u10966)))) )).
% 12.29/12.54 cnf(matrix-5256, plain, ( ~class_Int_Onumber__ring(_u10967) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10967), hAPP(c_Int_Onumber__class_Onumber__of(_u10967), _u10968)), c_Groups_Oone__class_Oone(_u10967)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10967), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10968), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5257, plain, ( ( hAPP(c_Nat_OSuc, _u10971) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10973)) | 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(_u10973))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10971))))) )).
% 12.29/12.54 cnf(matrix-5258, 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(_u10974))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10972))))) | ( hAPP(c_Nat_OSuc, _u10972) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10974)) )).
% 12.29/12.54 cnf(matrix-5259, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10977) != hAPP(c_Nat_OSuc, _u10979)) | 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(_u10977))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10979))))) )).
% 12.29/12.54 cnf(matrix-5260, 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(_u10978))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10980))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10978) = hAPP(c_Nat_OSuc, _u10980)) )).
% 12.29/12.54 cnf(matrix-5261, plain, ( ( c_Nat_Onat_Onat__case(_u10981, _u10982, _u10983, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10984)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10981), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10984))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10981, _u10981), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10981, tc_fun(_u10981, _u10981)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10981, tc_fun(_u10981, _u10981)), tc_Int_Oint), c_If(_u10981)), c_Nat__Numeral_Oneg)), _u10982)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10981, tc_Int_Oint), _u10983), c_Int_Onat)))) )).
% 12.29/12.54 cnf(matrix-5262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10987)), hAPP(c_Nat_OSuc, _u10989))) | 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(_u10987))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10989)))) )).
% 12.29/12.54 cnf(matrix-5263, 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(_u10988))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10990)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10988)), hAPP(c_Nat_OSuc, _u10990))) )).
% 12.29/12.54 cnf(matrix-5264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10993)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10995))) | 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(_u10995))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10993)), c_Int_Onat))))) )).
% 12.29/12.54 cnf(matrix-5265, 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(_u10996))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10994)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10994)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10996))) )).
% 12.29/12.54 cnf(matrix-5266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10999)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11001))) | 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(_u11001))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10999)), c_Int_Onat))))) )).
% 12.29/12.54 cnf(matrix-5267, 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(_u11002))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u11000)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11000)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11002))) )).
% 12.29/12.54 cnf(matrix-5268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11005)), hAPP(c_Nat_OSuc, _u11007))) | 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(_u11005))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11007)))) )).
% 12.29/12.54 cnf(matrix-5269, 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(_u11006))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11008)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11006)), hAPP(c_Nat_OSuc, _u11008))) )).
% 12.29/12.54 cnf(matrix-5270, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11010))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11010)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5271, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11011))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11011)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u11011))) )).
% 12.29/12.54 cnf(matrix-5272, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11012)), hAPP(c_Nat_OSuc, _u11013)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11012))), 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, _u11013))), 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)), _u11013))))) )).
% 12.29/12.54 cnf(matrix-5273, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11014)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11015)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11015))), 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, _u11014))), 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), _u11014)), c_Int_Onat))))) )).
% 12.29/12.54 cnf(matrix-5274, plain, ( ( c_Nat_Onat_Onat__case(_u11016, _u11017, _u11018, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11019)), _u11020)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11016), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11019))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11016, _u11016), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11016, tc_fun(_u11016, _u11016)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11016, tc_fun(_u11016, _u11016)), tc_Int_Oint), c_If(_u11016)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u11016, _u11017, _u11018, _u11020))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11016, tc_Int_Oint), _u11018), 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)), _u11020))))) )).
% 12.29/12.54 cnf(matrix-5275, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11021, _u11022, _u11023), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11024)), _u11025)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11021), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11024))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11021, _u11021), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11021, tc_fun(_u11021, _u11021)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11021, tc_fun(_u11021, _u11021)), tc_Int_Oint), c_If(_u11021)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u11021, _u11022, _u11023), _u11025))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11021, _u11021), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11021, _u11021), tc_Int_Oint), _u11023), 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)), _u11025))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11021, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11021, _u11022, _u11023)), 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)), _u11025)))))) )).
% 12.29/12.54 cnf(matrix-5276, plain, ( ~class_Int_Onumber__ring(_u11026) | ( c_Groups_Oone__class_Oone(_u11026) != hAPP(c_Int_Onumber__class_Onumber__of(_u11026), _u11027)) | c_Int_Oiszero(_u11026, hAPP(c_Int_Onumber__class_Onumber__of(_u11026), 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), _u11027)))) )).
% 12.29/12.54 cnf(matrix-5277, plain, ( ~class_Int_Onumber__ring(_u11026) | ~c_Int_Oiszero(_u11026, hAPP(c_Int_Onumber__class_Onumber__of(_u11026), 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), _u11027)))) | ( c_Groups_Oone__class_Oone(_u11026) = hAPP(c_Int_Onumber__class_Onumber__of(_u11026), _u11027)) )).
% 12.29/12.54 cnf(matrix-5278, plain, ( ~class_Int_Onumber__ring(_u11028) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) != c_Groups_Oone__class_Oone(_u11028)) | c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5279, plain, ( ~class_Int_Onumber__ring(_u11028) | ~c_Int_Oiszero(_u11028, hAPP(c_Int_Onumber__class_Onumber__of(_u11028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11029), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11028), _u11029) = c_Groups_Oone__class_Oone(_u11028)) )).
% 12.29/12.54 cnf(matrix-5280, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11030, _u11031, _u11032), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11033)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u11030), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u11033))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11030, _u11030), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u11030, tc_fun(_u11030, _u11030)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11030, tc_fun(_u11030, _u11030)), tc_Int_Oint), c_If(_u11030)), c_Nat__Numeral_Oneg)), _u11031)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u11030, _u11030), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11030, _u11030), tc_Int_Oint), _u11032), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u11030, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u11030, _u11031, _u11032)), c_Int_Onat))))) )).
% 12.29/12.54 cnf(matrix-5281, plain, ( ~class_Rings_Osemiring__1(_u11034) | ~c_Int_Oiszero(_u11034, _u11035) | ( _u11035 = c_Groups_Ozero__class_Ozero(_u11034)) )).
% 12.29/12.54 cnf(matrix-5282, plain, ( ~class_Rings_Osemiring__1(_u11034) | ( _u11035 != c_Groups_Ozero__class_Ozero(_u11034)) | c_Int_Oiszero(_u11034, _u11035) )).
% 12.29/12.54 cnf(matrix-5283, plain, ( ~class_Rings_Osemiring__1(_u11036) | c_Int_Oiszero(_u11036, c_Groups_Ozero__class_Ozero(_u11036)) )).
% 12.29/12.54 cnf(matrix-5284, plain, ( ~class_Rings_Osemiring__1(_u11037) | ~c_Int_Oiszero(_u11037, c_Groups_Oone__class_Oone(_u11037)) )).
% 12.29/12.54 cnf(matrix-5285, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11038, _u11039, _u11040), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u11039) )).
% 12.29/12.54 cnf(matrix-5286, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u11041, _u11042, _u11043), hAPP(c_Nat_OSuc, _u11044)) = hAPP(hAPP(_u11043, _u11044), hAPP(c_Nat_Onat_Onat__rec(_u11041, _u11042, _u11043), _u11044))) )).
% 12.29/12.54 cnf(matrix-5287, plain, ( ~class_Int_Onumber__ring(_u11045) | c_Int_Oiszero(_u11045, hAPP(c_Int_Onumber__class_Onumber__of(_u11045), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5288, plain, ( ~class_Int_Onumber__ring(_u11046) | ~class_Int_Oring__char__0(_u11046) | ~c_Int_Oiszero(_u11046, hAPP(c_Int_Onumber__class_Onumber__of(_u11046), c_Int_OBit1(_u11047))) )).
% 12.29/12.54 cnf(matrix-5289, plain, ( ~class_Int_Onumber__ring(_u11048) | ~c_Int_Oiszero(_u11048, hAPP(c_Int_Onumber__class_Onumber__of(_u11048), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5290, plain, ( ~class_Int_Onumber__ring(_u11049) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11050) != hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11051)) | c_Int_Oiszero(_u11049, hAPP(c_Int_Onumber__class_Onumber__of(_u11049), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11050), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11051)))) )).
% 12.29/12.54 cnf(matrix-5291, plain, ( ~class_Int_Onumber__ring(_u11049) | ~c_Int_Oiszero(_u11049, hAPP(c_Int_Onumber__class_Onumber__of(_u11049), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11050), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11051)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11050) = hAPP(c_Int_Onumber__class_Onumber__of(_u11049), _u11051)) )).
% 12.29/12.54 cnf(matrix-5292, plain, ( ~class_Int_Onumber__ring(_u11052) | ( c_Groups_Ozero__class_Ozero(_u11052) != hAPP(c_Int_Onumber__class_Onumber__of(_u11052), _u11053)) | c_Int_Oiszero(_u11052, hAPP(c_Int_Onumber__class_Onumber__of(_u11052), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11053)))) )).
% 12.29/12.54 cnf(matrix-5293, plain, ( ~class_Int_Onumber__ring(_u11052) | ~c_Int_Oiszero(_u11052, hAPP(c_Int_Onumber__class_Onumber__of(_u11052), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11053)))) | ( c_Groups_Ozero__class_Ozero(_u11052) = hAPP(c_Int_Onumber__class_Onumber__of(_u11052), _u11053)) )).
% 12.29/12.54 cnf(matrix-5294, plain, ( ~class_Int_Onumber__ring(_u11054) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11054), _u11055) != c_Groups_Ozero__class_Ozero(_u11054)) | c_Int_Oiszero(_u11054, hAPP(c_Int_Onumber__class_Onumber__of(_u11054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11055), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5295, plain, ( ~class_Int_Onumber__ring(_u11054) | ~c_Int_Oiszero(_u11054, hAPP(c_Int_Onumber__class_Onumber__of(_u11054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11055), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11054), _u11055) = c_Groups_Ozero__class_Ozero(_u11054)) )).
% 12.29/12.54 cnf(matrix-5296, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11056), 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)))), _u11057)), hAPP(hAPP(c_Groups_Otimes__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)) = 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), _u11057), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u11056))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5297, 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), _u11060))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11062)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11060))) = 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), _u11062), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11060)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5298, 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), _u11061))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11063)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11061))) = 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), _u11063)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11061)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5299, 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), _u11064)), 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))), _u11065))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u11066))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11066)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11064), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11064), 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), _u11066), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u11065))))) )).
% 12.29/12.54 cnf(matrix-5300, plain, ( ( c_Int_OBit0(_u11067) != c_Int_OBit1(_u11068)) )).
% 12.29/12.54 cnf(matrix-5301, plain, ( ( c_Int_OBit1(_u11069) != c_Int_OBit0(_u11070)) )).
% 12.29/12.54 cnf(matrix-5302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11073)), c_Int_OBit0(_u11075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11073), _u11075)) )).
% 12.29/12.54 cnf(matrix-5303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11074), _u11076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11074)), c_Int_OBit0(_u11076))) )).
% 12.29/12.54 cnf(matrix-5304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11079)), c_Int_OBit0(_u11081))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11079), _u11081)) )).
% 12.29/12.54 cnf(matrix-5305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11080), _u11082)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11080)), c_Int_OBit0(_u11082))) )).
% 12.29/12.54 cnf(matrix-5306, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11083)), c_Int_OBit0(_u11084)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11083), _u11084))) )).
% 12.29/12.54 cnf(matrix-5307, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u11085)), _u11086) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11085), _u11086))) )).
% 12.29/12.54 cnf(matrix-5308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11089)), c_Int_OBit0(_u11091))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11089), _u11091)) )).
% 12.29/12.54 cnf(matrix-5309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11090), _u11092)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11090)), c_Int_OBit0(_u11092))) )).
% 12.29/12.54 cnf(matrix-5310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11095)), c_Int_OBit0(_u11097))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11095), _u11097)) )).
% 12.29/12.54 cnf(matrix-5311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11096), _u11098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11096)), c_Int_OBit0(_u11098))) )).
% 12.29/12.54 cnf(matrix-5312, plain, ( ( c_Int_OBit0(_u11099) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11099), _u11099)) )).
% 12.29/12.54 cnf(matrix-5313, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11100)), c_Int_OBit0(_u11101)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11100), _u11101))) )).
% 12.29/12.54 cnf(matrix-5314, plain, ( ( c_Int_OBit0(_u11104) != c_Int_OBit0(_u11106)) | ( _u11104 = _u11106) )).
% 12.29/12.54 cnf(matrix-5315, plain, ( ( _u11105 != _u11107) | ( c_Int_OBit0(_u11105) = c_Int_OBit0(_u11107)) )).
% 12.29/12.54 cnf(matrix-5316, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u11108)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11108))) )).
% 12.29/12.54 cnf(matrix-5317, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5318, plain, ( ( c_Int_OPls != c_Int_OBit0(_u11110)) | ( c_Int_OPls = _u11110) )).
% 12.29/12.54 cnf(matrix-5319, plain, ( ( c_Int_OPls != _u11111) | ( c_Int_OPls = c_Int_OBit0(_u11111)) )).
% 12.29/12.54 cnf(matrix-5320, plain, ( ( c_Int_OBit0(_u11113) != c_Int_OPls) | ( _u11113 = c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5321, plain, ( ( _u11114 != c_Int_OPls) | ( c_Int_OBit0(_u11114) = c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11116)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11116), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11117), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11117)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11119)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11119), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11120), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11120)), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11122))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11122)) )).
% 12.29/12.54 cnf(matrix-5327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11123))) )).
% 12.29/12.54 cnf(matrix-5328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11126)), c_Int_OBit1(_u11128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11126), _u11128)) )).
% 12.29/12.54 cnf(matrix-5329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11127), _u11129)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11127)), c_Int_OBit1(_u11129))) )).
% 12.29/12.54 cnf(matrix-5330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11132)), c_Int_OBit1(_u11134))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11132), _u11134)) )).
% 12.29/12.54 cnf(matrix-5331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11133), _u11135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11133)), c_Int_OBit1(_u11135))) )).
% 12.29/12.54 cnf(matrix-5332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11137))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11137)) )).
% 12.29/12.54 cnf(matrix-5333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u11138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11138))) )).
% 12.29/12.54 cnf(matrix-5334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11140)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11140), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5335, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11141), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11141)), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5336, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11144)), c_Int_OBit0(_u11146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11144), _u11146)) )).
% 12.29/12.54 cnf(matrix-5337, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11145), _u11147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11145)), c_Int_OBit0(_u11147))) )).
% 12.29/12.54 cnf(matrix-5338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11150)), c_Int_OBit0(_u11152))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11150), _u11152)) )).
% 12.29/12.54 cnf(matrix-5339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11151), _u11153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11151)), c_Int_OBit0(_u11153))) )).
% 12.29/12.54 cnf(matrix-5340, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u11154)), c_Int_OBit1(_u11155)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11154), _u11155))) )).
% 12.29/12.54 cnf(matrix-5341, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11156)), c_Int_OBit0(_u11157)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11156), _u11157))) )).
% 12.29/12.54 cnf(matrix-5342, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u11158)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u11158))) )).
% 12.29/12.54 cnf(matrix-5343, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11159)), c_Int_OBit1(_u11160)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11159), _u11160))) )).
% 12.29/12.54 cnf(matrix-5344, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u11161)), c_Int_OBit0(_u11162)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11161), _u11162))) )).
% 12.29/12.54 cnf(matrix-5345, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11163))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11164))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11163)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11164))) )).
% 12.29/12.54 cnf(matrix-5346, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11166)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11166))) )).
% 12.29/12.54 cnf(matrix-5347, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11167))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11167)))) )).
% 12.29/12.54 cnf(matrix-5348, plain, ( ( c_Int_Opred(c_Int_OBit1(_u11168)) = c_Int_OBit0(_u11168)) )).
% 12.29/12.54 cnf(matrix-5349, plain, ( ( c_Int_Opred(c_Int_OBit0(_u11169)) = c_Int_OBit1(c_Int_Opred(_u11169))) )).
% 12.29/12.54 cnf(matrix-5350, plain, ( ~class_Int_Onumber__ring(_u11170) | ~class_Int_Oring__char__0(_u11170) | ~c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), c_Int_OBit0(_u11171))) | c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), _u11171)) )).
% 12.29/12.54 cnf(matrix-5351, plain, ( ~class_Int_Onumber__ring(_u11170) | ~class_Int_Oring__char__0(_u11170) | ~c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), _u11171)) | c_Int_Oiszero(_u11170, hAPP(c_Int_Onumber__class_Onumber__of(_u11170), c_Int_OBit0(_u11171))) )).
% 12.29/12.54 cnf(matrix-5352, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u11172)) = c_Int_OBit1(_u11172)) )).
% 12.29/12.54 cnf(matrix-5353, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u11173)) = c_Int_OBit0(c_Int_Osucc(_u11173))) )).
% 12.29/12.54 cnf(matrix-5354, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11174)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11174)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5355, plain, ( ~class_Int_Onumber__ring(_u11175) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11175), c_Int_OBit0(_u11176)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11175), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11175), c_Groups_Ozero__class_Ozero(_u11175)), hAPP(c_Int_Onumber__class_Onumber__of(_u11175), _u11176))), hAPP(c_Int_Onumber__class_Onumber__of(_u11175), _u11176))) )).
% 12.29/12.54 cnf(matrix-5356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11179)), c_Int_OBit1(_u11181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11179), _u11181)) )).
% 12.29/12.54 cnf(matrix-5357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11180), _u11182)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11180)), c_Int_OBit1(_u11182))) )).
% 12.29/12.54 cnf(matrix-5358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11185)), c_Int_OBit1(_u11187))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11185), _u11187)) )).
% 12.29/12.54 cnf(matrix-5359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11186), _u11188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11186)), c_Int_OBit1(_u11188))) )).
% 12.29/12.54 cnf(matrix-5360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11191)), c_Int_OBit0(_u11193))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11191), _u11193)) )).
% 12.29/12.54 cnf(matrix-5361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11192), _u11194)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11192)), c_Int_OBit0(_u11194))) )).
% 12.29/12.54 cnf(matrix-5362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11197)), c_Int_OBit0(_u11199))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11197), _u11199)) )).
% 12.29/12.54 cnf(matrix-5363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11198), _u11200)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11198)), c_Int_OBit0(_u11200))) )).
% 12.29/12.54 cnf(matrix-5364, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5365, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u11201)), _u11202) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11201), _u11202))), _u11202)) )).
% 12.29/12.54 cnf(matrix-5366, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u11203)), c_Int_OBit1(_u11204)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u11203)), _u11204))) )).
% 12.29/12.54 cnf(matrix-5367, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u11205)), c_Int_OBit1(_u11206)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11205), c_Int_Osucc(_u11206)))) )).
% 12.29/12.54 cnf(matrix-5368, plain, ( ~class_Int_Onumber__ring(_u11207) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11207), _u11208), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11209))) = hAPP(hAPP(c_HOL_OLet(_u11207, _u11207), hAPP(hAPP(c_Power_Opower__class_Opower(_u11207), _u11208), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11209))), hAPP(hAPP(c_COMBS(_u11207, _u11207, _u11207), c_Groups_Otimes__class_Otimes(_u11207)), c_COMBI(_u11207)))) )).
% 12.29/12.54 cnf(matrix-5369, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11211))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u11210), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11211))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-5370, plain, ( ~class_Int_Onumber__ring(_u11212) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11212), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11212), c_Groups_Oone__class_Oone(_u11212)), c_Groups_Oone__class_Oone(_u11212))), hAPP(c_Int_Onumber__class_Onumber__of(_u11212), _u11213)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11212), c_Int_OBit0(_u11213))) )).
% 12.29/12.54 cnf(matrix-5371, 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), _u11214))) | 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(_u11214)))) )).
% 12.29/12.54 cnf(matrix-5372, 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), _u11214))) | 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(_u11214)))) )).
% 12.29/12.54 cnf(matrix-5373, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5374, plain, ( ~class_Int_Onumber__ring(_u11215) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11215), hAPP(c_Int_Onumber__class_Onumber__of(_u11215), _u11216)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u11217))) = hAPP(hAPP(c_HOL_OLet(_u11215, _u11215), hAPP(hAPP(c_Power_Opower__class_Opower(_u11215), hAPP(c_Int_Onumber__class_Onumber__of(_u11215), _u11216)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u11217))), hAPP(hAPP(c_COMBS(_u11215, _u11215, _u11215), c_Groups_Otimes__class_Otimes(_u11215)), c_COMBI(_u11215)))) )).
% 12.29/12.54 cnf(matrix-5375, plain, ( ~class_Int_Onumber__ring(_u11218) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11218), _u11219), hAPP(c_Int_Onumber__class_Onumber__of(_u11218), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11218), _u11219), _u11219)) )).
% 12.29/12.54 cnf(matrix-5376, plain, ( ~class_Int_Onumber__ring(_u11220) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11220), hAPP(c_Int_Onumber__class_Onumber__of(_u11220), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11221) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11220), _u11221), _u11221)) )).
% 12.29/12.54 cnf(matrix-5377, plain, ( ~class_Int_Onumber__ring(_u11222) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11222), c_Groups_Oone__class_Oone(_u11222)), c_Groups_Oone__class_Oone(_u11222)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11222), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5378, plain, ( ~class_Rings_Osemiring__1(_u11223) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11223), c_Groups_Ozero__class_Ozero(_u11223)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11223)) )).
% 12.29/12.54 cnf(matrix-5379, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11224) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11224), _u11225), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u11224)) | ( _u11225 = c_Groups_Ozero__class_Ozero(_u11224)) )).
% 12.29/12.54 cnf(matrix-5380, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11224) | ( _u11225 != c_Groups_Ozero__class_Ozero(_u11224)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11224), _u11225), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u11224)) )).
% 12.29/12.54 cnf(matrix-5381, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5382, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5383, plain, ( ~class_Rings_Ocomm__semiring__1(_u11226) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11226), _u11227), _u11227) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11226), _u11227), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5384, plain, ( ~class_Groups_Omonoid__mult(_u11228) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11228), _u11229), 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(_u11228), _u11229), _u11229)) )).
% 12.29/12.54 cnf(matrix-5385, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5386, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11230), 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, _u11230))) )).
% 12.29/12.54 cnf(matrix-5387, 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)))), _u11231) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11231))) )).
% 12.29/12.54 cnf(matrix-5388, plain, ( ~class_Rings_Osemiring__1(_u11232) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11232), c_Groups_Oone__class_Oone(_u11232)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11232)) )).
% 12.29/12.54 cnf(matrix-5389, plain, ( ~class_Rings_Oring__1(_u11233) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11233), hAPP(c_Groups_Ouminus__class_Ouminus(_u11233), _u11234)), 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(_u11233), _u11234), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5390, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11235), 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), _u11235), _u11235)) )).
% 12.29/12.54 cnf(matrix-5391, 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)))), _u11236) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11236), _u11236)) )).
% 12.29/12.54 cnf(matrix-5392, plain, ( ~class_Groups_Omonoid__mult(_u11237) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), 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)))), _u11239)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), hAPP(hAPP(c_Power_Opower__class_Opower(_u11237), _u11238), _u11239)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5393, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5394, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5395, plain, ( ~class_Rings_Olinordered__idom(_u11240) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11240), hAPP(hAPP(c_Power_Opower__class_Opower(_u11240), _u11241), 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(_u11240), _u11241), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5396, plain, ( ~class_Rings_Olinordered__idom(_u11242) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11242), hAPP(c_Groups_Oabs__class_Oabs(_u11242), _u11243)), 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(_u11242), _u11243), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5397, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.29/12.54 cnf(matrix-5398, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11244)), 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, _u11244, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.29/12.54 cnf(matrix-5399, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u11245))), 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), _u11245), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5400, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11246)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11247))) = hAPP(hAPP(c_Groups_Otimes__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), _u11246), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11247)))) )).
% 12.29/12.54 cnf(matrix-5401, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11248), _u11248)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u11248) )).
% 12.29/12.54 cnf(matrix-5402, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11249) | ~class_Int_Onumber__ring(_u11249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11249), c_Groups_Ozero__class_Ozero(_u11249)), _u11250)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11249), c_Groups_Ozero__class_Ozero(_u11249)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11249), _u11250), hAPP(c_Int_Onumber__class_Onumber__of(_u11249), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5403, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11251) | ~class_Int_Onumber__ring(_u11251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11251), _u11252), hAPP(c_Int_Onumber__class_Onumber__of(_u11251), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), _u11252)) )).
% 12.29/12.54 cnf(matrix-5404, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u11251) | ~class_Int_Onumber__ring(_u11251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), _u11252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11251), c_Groups_Ozero__class_Ozero(_u11251)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11251), _u11252), hAPP(c_Int_Onumber__class_Onumber__of(_u11251), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5405, plain, ( ~class_Rings_Olinordered__semidom(_u11253) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11253), _u11254), 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(_u11253), _u11255), 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(_u11253), c_Groups_Ozero__class_Ozero(_u11253)), _u11254)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11253), c_Groups_Ozero__class_Ozero(_u11253)), _u11255)) | ( _u11254 = _u11255) )).
% 12.29/12.54 cnf(matrix-5406, plain, ( ~class_Rings_Olinordered__semidom(_u11256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11256), hAPP(hAPP(c_Power_Opower__class_Opower(_u11256), _u11257), 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(_u11256), _u11258), 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(_u11256), c_Groups_Ozero__class_Ozero(_u11256)), _u11258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11256), _u11257), _u11258)) )).
% 12.29/12.54 cnf(matrix-5407, plain, ( ~class_Rings_Olinordered__idom(_u11259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11259), c_Groups_Ozero__class_Ozero(_u11259)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11259), _u11260), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5408, plain, ( ~class_Rings_Olinordered__idom(_u11261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11261), hAPP(hAPP(c_Power_Opower__class_Opower(_u11261), _u11262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u11261))) )).
% 12.29/12.54 cnf(matrix-5409, plain, ( ~class_Rings_Olinordered__idom(_u11263) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11263), c_Groups_Ozero__class_Ozero(_u11263)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11263), _u11264), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u11264 != c_Groups_Ozero__class_Ozero(_u11263)) )).
% 12.29/12.54 cnf(matrix-5410, plain, ( ~class_Rings_Olinordered__idom(_u11263) | ( _u11264 = c_Groups_Ozero__class_Ozero(_u11263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11263), c_Groups_Ozero__class_Ozero(_u11263)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11263), _u11264), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5411, plain, ( ~class_Rings_Olinordered__idom(_u11265) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11265), hAPP(hAPP(c_Power_Opower__class_Opower(_u11265), _u11266), 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(_u11265), _u11267), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11265)) | ( _u11266 = c_Groups_Ozero__class_Ozero(_u11265)) )).
% 12.29/12.54 cnf(matrix-5412, plain, ( ~class_Rings_Olinordered__idom(_u11265) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11265), hAPP(hAPP(c_Power_Opower__class_Opower(_u11265), _u11266), 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(_u11265), _u11267), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u11265)) | ( _u11267 = c_Groups_Ozero__class_Ozero(_u11265)) )).
% 12.29/12.54 cnf(matrix-5413, plain, ( ~class_Rings_Olinordered__idom(_u11265) | ( _u11266 != c_Groups_Ozero__class_Ozero(_u11265)) | ( _u11267 != c_Groups_Ozero__class_Ozero(_u11265)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11265), hAPP(hAPP(c_Power_Opower__class_Opower(_u11265), _u11266), 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(_u11265), _u11267), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u11265)) )).
% 12.29/12.54 cnf(matrix-5414, plain, ( ~class_Groups_Omonoid__mult(_u11268) | ~class_Int_Onumber(_u11268) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11268), hAPP(c_Int_Onumber__class_Onumber__of(_u11268), _u11269)), 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(_u11268), hAPP(c_Int_Onumber__class_Onumber__of(_u11268), _u11269)), hAPP(c_Int_Onumber__class_Onumber__of(_u11268), _u11269))) )).
% 12.29/12.54 cnf(matrix-5415, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11270), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u11270 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11270 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5416, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5417, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11271) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11271), _u11272), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 = c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 = hAPP(c_Groups_Ouminus__class_Ouminus(_u11271), c_Groups_Oone__class_Oone(_u11271))) )).
% 12.29/12.54 cnf(matrix-5418, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11271) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11271), _u11272), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 != c_Groups_Oone__class_Oone(_u11271)) )).
% 12.29/12.54 cnf(matrix-5419, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u11271) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11271), _u11272), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u11271)) | ( _u11272 != hAPP(c_Groups_Ouminus__class_Ouminus(_u11271), c_Groups_Oone__class_Oone(_u11271))) )).
% 12.29/12.54 cnf(matrix-5420, plain, ( ~class_Rings_Ocomm__semiring__1(_u11273) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11273), _u11274), 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)))), _u11275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11273), hAPP(hAPP(c_Power_Opower__class_Opower(_u11273), _u11274), _u11275)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11273), _u11274), _u11275))) )).
% 12.29/12.54 cnf(matrix-5421, plain, ( ~class_Rings_Oring__1(_u11276) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11276), hAPP(c_Groups_Ouminus__class_Ouminus(_u11276), _u11277)), 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)))), _u11278)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u11276), _u11277), 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)))), _u11278))) )).
% 12.29/12.54 cnf(matrix-5422, plain, ( ~class_Rings_Olinordered__semidom(_u11279) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11279), hAPP(hAPP(c_Power_Opower__class_Opower(_u11279), _u11280), 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(_u11279), _u11281), 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(_u11279), c_Groups_Ozero__class_Ozero(_u11279)), _u11281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11279), _u11280), _u11281)) )).
% 12.29/12.54 cnf(matrix-5423, plain, ( ~class_Rings_Olinordered__idom(_u11282) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11282), c_Groups_Ozero__class_Ozero(_u11282)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11282), hAPP(hAPP(c_Power_Opower__class_Opower(_u11282), _u11283), 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(_u11282), _u11284), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.29/12.54 cnf(matrix-5424, plain, ( ~class_Rings_Olinordered__idom(_u11285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11285), hAPP(hAPP(c_Power_Opower__class_Opower(_u11285), _u11286), 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(_u11285), _u11287), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11285))) | ( _u11286 = c_Groups_Ozero__class_Ozero(_u11285)) )).
% 12.29/12.54 cnf(matrix-5425, plain, ( ~class_Rings_Olinordered__idom(_u11285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11285), hAPP(hAPP(c_Power_Opower__class_Opower(_u11285), _u11286), 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(_u11285), _u11287), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11285))) | ( _u11287 = c_Groups_Ozero__class_Ozero(_u11285)) )).
% 12.29/12.54 cnf(matrix-5426, plain, ( ~class_Rings_Olinordered__idom(_u11285) | ( _u11286 != c_Groups_Ozero__class_Ozero(_u11285)) | ( _u11287 != c_Groups_Ozero__class_Ozero(_u11285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11285), hAPP(hAPP(c_Power_Opower__class_Opower(_u11285), _u11286), 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(_u11285), _u11287), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11285))) )).
% 12.29/12.54 cnf(matrix-5427, plain, ( ~class_Rings_Olinordered__idom(_u11288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11288), c_Groups_Ozero__class_Ozero(_u11288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11288), hAPP(hAPP(c_Power_Opower__class_Opower(_u11288), _u11289), 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(_u11288), _u11290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11289 != c_Groups_Ozero__class_Ozero(_u11288)) | ( _u11290 != c_Groups_Ozero__class_Ozero(_u11288)) )).
% 12.29/12.54 cnf(matrix-5428, plain, ( ~class_Rings_Olinordered__idom(_u11288) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11288), c_Groups_Ozero__class_Ozero(_u11288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11288), hAPP(hAPP(c_Power_Opower__class_Opower(_u11288), _u11289), 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(_u11288), _u11290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11289 = c_Groups_Ozero__class_Ozero(_u11288)) )).
% 12.29/12.54 cnf(matrix-5429, plain, ( ~class_Rings_Olinordered__idom(_u11288) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11288), c_Groups_Ozero__class_Ozero(_u11288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11288), hAPP(hAPP(c_Power_Opower__class_Opower(_u11288), _u11289), 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(_u11288), _u11290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u11290 = c_Groups_Ozero__class_Ozero(_u11288)) )).
% 12.29/12.54 cnf(matrix-5430, plain, ( ~class_Rings_Olinordered__idom(_u11291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11291), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11291), hAPP(hAPP(c_Power_Opower__class_Opower(_u11291), _u11292), 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(_u11291), _u11293), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u11291))) )).
% 12.29/12.54 cnf(matrix-5431, plain, ( ~class_Int_Onumber__ring(_u11294) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11294), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11294), _u11295), _u11296)), 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(_u11294), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11294), hAPP(hAPP(c_Power_Opower__class_Opower(_u11294), _u11295), 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(_u11294), _u11296), 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(_u11294), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11294), hAPP(c_Int_Onumber__class_Onumber__of(_u11294), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11295)), _u11296))) )).
% 12.29/12.54 cnf(matrix-5432, plain, ( ~class_Rings_Olinordered__idom(_u11297) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11297), c_Groups_Ozero__class_Ozero(_u11297)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11297), _u11298), 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)))), _u11299)))) )).
% 12.29/12.54 cnf(matrix-5433, plain, ( ~class_Groups_Omonoid__mult(_u11300) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11300), _u11301), 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)))), _u11302))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11300), _u11301), hAPP(hAPP(c_Power_Opower__class_Opower(_u11300), hAPP(hAPP(c_Power_Opower__class_Opower(_u11300), _u11301), _u11302)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5434, plain, ( ~class_Rings_Ocomm__semiring__1(_u11303) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11303), _u11304), 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)))), _u11305))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11303), _u11304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11303), hAPP(hAPP(c_Power_Opower__class_Opower(_u11303), _u11304), _u11305)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11303), _u11304), _u11305)))) )).
% 12.29/12.54 cnf(matrix-5435, plain, ( ~class_Rings_Oring__1(_u11306) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11306), hAPP(c_Groups_Ouminus__class_Ouminus(_u11306), c_Groups_Oone__class_Oone(_u11306))), 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)))), _u11307)) = c_Groups_Oone__class_Oone(_u11306)) )).
% 12.29/12.54 cnf(matrix-5436, 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), _u11310))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11312))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11310))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11312)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11310))) )).
% 12.29/12.54 cnf(matrix-5437, 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), _u11311))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u11313))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u11311))) = 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), _u11313)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11311))) )).
% 12.29/12.54 cnf(matrix-5438, 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, _u11315, 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, _u11315, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5439, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11316, 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, _u11316, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u11317)) | 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), _u11317), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5441, plain, ( ~class_Int_Onumber__ring(_u11318) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11318), _u11319), _u11320)), 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(_u11318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11318), hAPP(hAPP(c_Power_Opower__class_Opower(_u11318), _u11319), 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(_u11318), _u11320), 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(_u11318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11318), hAPP(c_Int_Onumber__class_Onumber__of(_u11318), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11319)), _u11320))) )).
% 12.29/12.54 cnf(matrix-5442, plain, ( ~class_Rings_Olinordered__idom(_u11321) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11321), c_Groups_Ozero__class_Ozero(_u11321)), hAPP(hAPP(c_Power_Opower__class_Opower(_u11321), _u11322), 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)))), _u11323))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11321), c_Groups_Ozero__class_Ozero(_u11321)), _u11322)) )).
% 12.29/12.54 cnf(matrix-5443, plain, ( ~class_Rings_Olinordered__idom(_u11324) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11324), _u11325), c_Groups_Ozero__class_Ozero(_u11324))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11324), hAPP(hAPP(c_Power_Opower__class_Opower(_u11324), _u11325), 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)))), _u11326)))), c_Groups_Ozero__class_Ozero(_u11324))) )).
% 12.29/12.54 cnf(matrix-5444, plain, ( ~class_Rings_Oring__1(_u11327) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11327), hAPP(c_Groups_Ouminus__class_Ouminus(_u11327), c_Groups_Oone__class_Oone(_u11327))), 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)))), _u11328))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11327), c_Groups_Oone__class_Oone(_u11327))) )).
% 12.29/12.54 cnf(matrix-5445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11329)) | 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), _u11329), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5446, plain, ( ~class_Rings_Osemiring__1(_u11330) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11331)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11330), 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)))), _u11331))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11330), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11330), hAPP(c_Int_Onat, _u11331))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11330), hAPP(c_Int_Onat, _u11331)))) )).
% 12.29/12.54 cnf(matrix-5447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11332)) | ( 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)))), _u11333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11332)) = 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, _u11333, _u11332)))) )).
% 12.29/12.54 cnf(matrix-5448, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11334)) | ( 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)))), _u11335))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11334)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11335), _u11334)) )).
% 12.29/12.54 cnf(matrix-5449, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11336), 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)))), _u11337))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11336)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11337), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u11336)) )).
% 12.29/12.54 cnf(matrix-5450, plain, ( ( _u11339 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u11339) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5451, plain, ( ( _u11340 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11340, 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, _u11340) = hAPP(hAPP(c_Groups_Otimes__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), _u11340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 12.29/12.54 cnf(matrix-5452, plain, ( ( _u11340 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11340, 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, _u11340) = 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), _u11340), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5453, plain, ( ~class_Rings_Oring__1(_u11341) | ( _u11342 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11341), _u11342) = c_Groups_Ozero__class_Ozero(_u11341)) )).
% 12.29/12.54 cnf(matrix-5454, plain, ( ~class_Rings_Oring__1(_u11341) | ( _u11342 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11342), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11341), _u11342) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11341), hAPP(c_Int_Oring__1__class_Oof__int(_u11341), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11342)))) )).
% 12.29/12.54 cnf(matrix-5455, plain, ( ~class_Rings_Oring__1(_u11341) | ( _u11342 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11342), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11341), _u11342) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u11341), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u11341, _u11341)), tc_fun(tc_Int_Oint, _u11341)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11341, _u11341), _u11341), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u11341, _u11341)), tc_fun(tc_Int_Oint, _u11341)), tc_Int_Oint), c_COMBB(tc_fun(_u11341, _u11341), _u11341, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u11341, tc_fun(tc_fun(_u11341, _u11341), _u11341), tc_Int_Oint), c_HOL_OLet(_u11341, _u11341)), c_Int_Oring__1__class_Oof__int(_u11341)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11341, _u11341), tc_fun(_u11341, _u11341)), hAPP(hAPP(c_COMBB(tc_fun(_u11341, tc_fun(_u11341, _u11341)), tc_fun(tc_fun(_u11341, _u11341), tc_fun(_u11341, _u11341)), tc_Int_Oint), c_COMBS(_u11341, _u11341, _u11341)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u11341, _u11341), tc_fun(_u11341, tc_fun(_u11341, _u11341))), hAPP(hAPP(c_COMBB(tc_fun(_u11341, tc_fun(_u11341, _u11341)), tc_fun(tc_fun(_u11341, _u11341), tc_fun(_u11341, tc_fun(_u11341, _u11341))), tc_Int_Oint), c_COMBB(_u11341, tc_fun(_u11341, _u11341), _u11341)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u11341, tc_fun(_u11341, _u11341)), tc_Int_Oint), c_If(_u11341)), 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(_u11341, _u11341, _u11341), c_Groups_Oplus__class_Oplus(_u11341)), c_COMBI(_u11341))))), hAPP(hAPP(c_COMBC(_u11341, _u11341, _u11341), hAPP(hAPP(c_COMBB(_u11341, tc_fun(_u11341, _u11341), _u11341), c_Groups_Oplus__class_Oplus(_u11341)), hAPP(hAPP(c_COMBS(_u11341, _u11341, _u11341), c_Groups_Oplus__class_Oplus(_u11341)), c_COMBI(_u11341)))), c_Groups_Oone__class_Oone(_u11341))))), c_Divides_Odivmod__int(_u11342, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.29/12.54 cnf(matrix-5456, plain, ( ~class_Int_Onumber__ring(_u11343) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11343), hAPP(c_Int_Onumber__class_Onumber__of(_u11343), 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)))), _u11344))) = hAPP(c_Int_Onumber__class_Onumber__of(_u11343), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5457, plain, ( ( c_Int_OBit0(_u11345) != c_Int_OMin) )).
% 12.29/12.54 cnf(matrix-5458, plain, ( ( c_Int_OMin != c_Int_OBit0(_u11346)) )).
% 12.29/12.54 cnf(matrix-5459, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.29/12.54 cnf(matrix-5460, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5462, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.54 cnf(matrix-5463, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5464, plain, ( ( c_Int_OBit1(_u11348) != c_Int_OMin) | ( _u11348 = c_Int_OMin) )).
% 12.29/12.54 cnf(matrix-5465, plain, ( ( _u11349 != c_Int_OMin) | ( c_Int_OBit1(_u11349) = c_Int_OMin) )).
% 12.29/12.54 cnf(matrix-5466, plain, ( ( c_Int_OMin != c_Int_OBit1(_u11351)) | ( c_Int_OMin = _u11351) )).
% 12.29/12.54 cnf(matrix-5467, plain, ( ( c_Int_OMin != _u11352) | ( c_Int_OMin = c_Int_OBit1(_u11352)) )).
% 12.29/12.54 cnf(matrix-5468, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.29/12.54 cnf(matrix-5469, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5470, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11354)) )).
% 12.29/12.54 cnf(matrix-5473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u11355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11355))) )).
% 12.29/12.54 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11357)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11357), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5475, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11358), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u11358)), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5476, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5477, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11360)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11360), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11361), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u11361)), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11363))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11363)) )).
% 12.29/12.54 cnf(matrix-5481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11364)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11364))) )).
% 12.29/12.54 cnf(matrix-5482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11366)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11366), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11367), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u11367)), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11369)) )).
% 12.29/12.54 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11370))) )).
% 12.29/12.54 cnf(matrix-5486, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5487, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5488, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u11371) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11371)) )).
% 12.29/12.54 cnf(matrix-5489, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 12.29/12.54 cnf(matrix-5490, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 12.29/12.54 cnf(matrix-5491, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11372), c_Int_OMin) = c_Int_Opred(_u11372)) )).
% 12.29/12.54 cnf(matrix-5492, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u11373) = c_Int_Opred(_u11373)) )).
% 12.29/12.54 cnf(matrix-5493, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5494, plain, ( ~class_Int_Onumber__ring(_u11374) | ~c_Int_Oiszero(_u11374, hAPP(c_Int_Onumber__class_Onumber__of(_u11374), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5495, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 12.29/12.54 cnf(matrix-5496, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11375), c_Int_OMin) = c_Int_Osucc(_u11375)) )).
% 12.29/12.54 cnf(matrix-5497, plain, ( ~class_Int_Onumber__ring(_u11376) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11376), hAPP(c_Int_Onumber__class_Onumber__of(_u11376), c_Int_OMin)), _u11377) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11376), _u11377)) )).
% 12.29/12.54 cnf(matrix-5498, plain, ( ~class_Int_Onumber__ring(_u11378) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11378), _u11379), hAPP(c_Int_Onumber__class_Onumber__of(_u11378), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11378), _u11379)) )).
% 12.29/12.54 cnf(matrix-5499, plain, ( ~class_Int_Onumber__ring(_u11380) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u11380), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11380), c_Groups_Oone__class_Oone(_u11380))) )).
% 12.29/12.54 cnf(matrix-5500, plain, ( ~class_Int_Onumber__ring(_u11381) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u11381), c_Groups_Oone__class_Oone(_u11381)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11381), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5501, plain, ( ~class_Int_Onumber__ring(_u11382) | ~class_Rings_Olinordered__idom(_u11382) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11382), hAPP(c_Int_Onumber__class_Onumber__of(_u11382), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u11382)) )).
% 12.29/12.54 cnf(matrix-5502, plain, ( ~class_Fields_Ofield__inverse__zero(_u11383) | ~class_Int_Onumber__ring(_u11383) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11383), _u11384), hAPP(c_Int_Onumber__class_Onumber__of(_u11383), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11383), _u11384)) )).
% 12.29/12.54 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11386)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11386), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5504, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11387), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u11387)), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5505, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11389))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11389)) )).
% 12.29/12.54 cnf(matrix-5506, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u11390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11390))) )).
% 12.29/12.54 cnf(matrix-5507, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11391, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5508, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u11392)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11392))) )).
% 12.29/12.54 cnf(matrix-5509, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5510, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11393), _u11394) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11393 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11393 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5511, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5512, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5513, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11397 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5514, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11397), _u11399) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11399 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5515, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11398), _u11400) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11398 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11400 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5516, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11398), _u11400) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u11398 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u11400 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5517, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u11401)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11401))) )).
% 12.29/12.54 cnf(matrix-5518, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u11402)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u11402))) )).
% 12.29/12.54 cnf(matrix-5519, plain, ( ~class_Int_Onumber__ring(_u11403) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11403), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u11403), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5520, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11404), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11404)) )).
% 12.29/12.54 cnf(matrix-5521, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 12.29/12.54 cnf(matrix-5522, plain, ( ~class_Fields_Ofield__inverse__zero(_u11405) | ~class_Int_Onumber__ring(_u11405) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11405), hAPP(c_Int_Onumber__class_Onumber__of(_u11405), c_Int_OMin)), _u11406) = hAPP(c_Groups_Ouminus__class_Ouminus(_u11405), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u11405), c_Groups_Oone__class_Oone(_u11405)), _u11406))) )).
% 12.29/12.54 cnf(matrix-5523, plain, ( ~class_Int_Onumber__ring(_u11407) | ~class_Rings_Olinordered__idom(_u11407) | ( hAPP(c_Groups_Oabs__class_Oabs(_u11407), hAPP(hAPP(c_Power_Opower__class_Opower(_u11407), hAPP(c_Int_Onumber__class_Onumber__of(_u11407), c_Int_OMin)), _u11408)) = c_Groups_Oone__class_Oone(_u11407)) )).
% 12.29/12.54 cnf(matrix-5524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11409)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u11409) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11410), _u11411)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11410), _u11411) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 12.29/12.54 cnf(matrix-5526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11412)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11412) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u11412), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5527, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 12.29/12.54 cnf(matrix-5528, plain, ( ~class_Int_Onumber__ring(_u11413) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u11413), hAPP(c_Int_Onumber__class_Onumber__of(_u11413), 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)))), _u11414)) = c_Groups_Oone__class_Oone(_u11413)) )).
% 12.29/12.54 cnf(matrix-5529, plain, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.54 cnf(matrix-5530, plain, ( ( c_Int_Oint__ge__less__than2(_u11415) = 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), _u11415)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.29/12.54 cnf(matrix-5531, plain, ( ( c_Int_Oint__ge__less__than(_u11416) = 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), _u11416)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 12.29/12.54 cnf(matrix-5532, plain, ( c_Fun_Oinj__on(tc_fun(_u11417, _u11418), tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), tc_fun(_u11417, _u11418)), c_Set_OCollect(tc_prod(_u11417, _u11418))), hAPP(hAPP(c_COMBB(tc_fun(_u11417, tc_fun(_u11418, tc_HOL_Obool)), tc_fun(tc_prod(_u11417, _u11418), tc_HOL_Obool), tc_fun(_u11417, _u11418)), c_Product__Type_Oprod_Oprod__case(_u11417, _u11418, tc_HOL_Obool)), hAPP(c_COMBB(_u11418, tc_fun(_u11418, tc_HOL_Obool), _u11417), hAPP(c_COMBC(_u11418, _u11418, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u11417, _u11418), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5533, plain, ( ( c_Nitpick_Oprod(_u11419, _u11420, _u11421, _u11422) = hAPP(c_Set_OCollect(tc_prod(_u11419, _u11420)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11419, _u11420, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11419, tc_fun(_u11420, tc_HOL_Obool), tc_fun(_u11420, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11420, tc_HOL_Obool), tc_fun(_u11420, tc_HOL_Obool)), _u11419), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11420)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11419), c_fconj), hAPP(hAPP(c_COMBC(_u11419, tc_fun(_u11419, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11419)), _u11421)))), hAPP(hAPP(c_COMBC(_u11420, tc_fun(_u11420, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11420)), _u11422))))) )).
% 12.29/12.54 cnf(matrix-5534, plain, ( ( _u11425 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11425, _u11427) = _u11427) )).
% 12.29/12.54 cnf(matrix-5535, plain, ( ( _u11426 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u11426, _u11428) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u11426), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u11428))) )).
% 12.29/12.54 cnf(matrix-5536, plain, ( ( c_Divides_Odivmod__int__rel(_u11429, _u11430) = 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, _u11429))), 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), _u11430)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11430))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u11430))))), 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)), _u11430)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u11430))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 12.29/12.54 cnf(matrix-5537, plain, ( ( _u11431 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11432, _u11431), c_Divides_Odivmod__int(_u11432, _u11431))) )).
% 12.29/12.54 cnf(matrix-5538, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11433, _u11434), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11435), _u11436))) | ( _u11434 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11437)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11433, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11434), _u11437)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11435), _u11437)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11434), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11435, _u11437))), _u11436)))) )).
% 12.29/12.54 cnf(matrix-5539, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5540, plain, ( ~class_Int_Onumber__ring(_u11438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u11439)) | hBOOL(hAPP(hAPP(c_member(_u11438), hAPP(c_Int_Onumber__class_Onumber__of(_u11438), _u11439)), c_Nat_Osemiring__1__class_ONats(_u11438))) )).
% 12.29/12.54 cnf(matrix-5541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11444, tc_fun(_u11446, tc_HOL_Obool))), _u11448), _u11450)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11444, _u11446)), hAPP(hAPP(c_Product__Type_OPair(_u11444, _u11446), _u11448), _u11450)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11444, _u11446), tc_HOL_Obool)))) )).
% 12.29/12.54 cnf(matrix-5542, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11445, _u11447)), hAPP(hAPP(c_Product__Type_OPair(_u11445, _u11447), _u11449), _u11451)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11445, _u11447), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11445, tc_fun(_u11447, tc_HOL_Obool))), _u11449), _u11451)) )).
% 12.29/12.54 cnf(matrix-5543, plain, ( ( _u11460 = _u11462) | ( hAPP(hAPP(c_COMBC(_u11456, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), _u11456), c_COMBC(_u11458, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_prod(_u11456, _u11458)), tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), _u11456), hAPP(c_COMBB(tc_prod(_u11456, _u11458), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool), _u11458), c_member(tc_prod(_u11456, _u11458)))), c_Product__Type_OPair(_u11456, _u11458)))), _u11460) != hAPP(hAPP(c_COMBC(_u11456, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_fun(_u11458, tc_HOL_Obool)), _u11456), c_COMBC(_u11458, tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11458, tc_prod(_u11456, _u11458)), tc_fun(_u11458, tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool)), _u11456), hAPP(c_COMBB(tc_prod(_u11456, _u11458), tc_fun(tc_fun(tc_prod(_u11456, _u11458), tc_HOL_Obool), tc_HOL_Obool), _u11458), c_member(tc_prod(_u11456, _u11458)))), c_Product__Type_OPair(_u11456, _u11458)))), _u11462)) )).
% 12.29/12.54 cnf(matrix-5544, plain, ( ( _u11461 != _u11463) | ( hAPP(hAPP(c_COMBC(_u11457, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), _u11457), c_COMBC(_u11459, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_prod(_u11457, _u11459)), tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), _u11457), hAPP(c_COMBB(tc_prod(_u11457, _u11459), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool), _u11459), c_member(tc_prod(_u11457, _u11459)))), c_Product__Type_OPair(_u11457, _u11459)))), _u11461) = hAPP(hAPP(c_COMBC(_u11457, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_fun(_u11459, tc_HOL_Obool)), _u11457), c_COMBC(_u11459, tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11459, tc_prod(_u11457, _u11459)), tc_fun(_u11459, tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool)), _u11457), hAPP(c_COMBB(tc_prod(_u11457, _u11459), tc_fun(tc_fun(tc_prod(_u11457, _u11459), tc_HOL_Obool), tc_HOL_Obool), _u11459), c_member(tc_prod(_u11457, _u11459)))), c_Product__Type_OPair(_u11457, _u11459)))), _u11463)) )).
% 12.29/12.54 cnf(matrix-5545, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11470, tc_fun(_u11472, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11470, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), _u11470), c_COMBC(_u11472, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_prod(_u11470, _u11472)), tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), _u11470), hAPP(c_COMBB(tc_prod(_u11470, _u11472), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool), _u11472), c_member(tc_prod(_u11470, _u11472)))), c_Product__Type_OPair(_u11470, _u11472)))), _u11474)), hAPP(hAPP(c_COMBC(_u11470, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_fun(_u11472, tc_HOL_Obool)), _u11470), c_COMBC(_u11472, tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11472, tc_prod(_u11470, _u11472)), tc_fun(_u11472, tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool)), _u11470), hAPP(c_COMBB(tc_prod(_u11470, _u11472), tc_fun(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool), tc_HOL_Obool), _u11472), c_member(tc_prod(_u11470, _u11472)))), c_Product__Type_OPair(_u11470, _u11472)))), _u11476)), _u11478), _u11480)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11470, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11470, _u11472), _u11478), _u11480)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11470, _u11472), tc_HOL_Obool)), _u11474), _u11476))) )).
% 12.29/12.54 cnf(matrix-5546, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11471, _u11473)), hAPP(hAPP(c_Product__Type_OPair(_u11471, _u11473), _u11479), _u11481)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool)), _u11475), _u11477))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11471, tc_fun(_u11473, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11471, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), _u11471), c_COMBC(_u11473, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_prod(_u11471, _u11473)), tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), _u11471), hAPP(c_COMBB(tc_prod(_u11471, _u11473), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool), _u11473), c_member(tc_prod(_u11471, _u11473)))), c_Product__Type_OPair(_u11471, _u11473)))), _u11475)), hAPP(hAPP(c_COMBC(_u11471, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_fun(_u11473, tc_HOL_Obool)), _u11471), c_COMBC(_u11473, tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11473, tc_prod(_u11471, _u11473)), tc_fun(_u11473, tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool)), _u11471), hAPP(c_COMBB(tc_prod(_u11471, _u11473), tc_fun(tc_fun(tc_prod(_u11471, _u11473), tc_HOL_Obool), tc_HOL_Obool), _u11473), c_member(tc_prod(_u11471, _u11473)))), c_Product__Type_OPair(_u11471, _u11473)))), _u11477)), _u11479), _u11481)) )).
% 12.29/12.54 cnf(matrix-5547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11486, tc_fun(_u11488, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11486, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), _u11486), c_COMBC(_u11488, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_prod(_u11486, _u11488)), tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), _u11486), hAPP(c_COMBB(tc_prod(_u11486, _u11488), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool), _u11488), c_member(tc_prod(_u11486, _u11488)))), c_Product__Type_OPair(_u11486, _u11488)))), _u11490)), hAPP(hAPP(c_COMBC(_u11486, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_fun(_u11488, tc_HOL_Obool)), _u11486), c_COMBC(_u11488, tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11488, tc_prod(_u11486, _u11488)), tc_fun(_u11488, tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool)), _u11486), hAPP(c_COMBB(tc_prod(_u11486, _u11488), tc_fun(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool), tc_HOL_Obool), _u11488), c_member(tc_prod(_u11486, _u11488)))), c_Product__Type_OPair(_u11486, _u11488)))), _u11492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11486, _u11488), tc_HOL_Obool)), _u11490), _u11492)) )).
% 12.29/12.54 cnf(matrix-5548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool)), _u11491), _u11493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11487, tc_fun(_u11489, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11487, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), _u11487), c_COMBC(_u11489, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_prod(_u11487, _u11489)), tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), _u11487), hAPP(c_COMBB(tc_prod(_u11487, _u11489), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool), _u11489), c_member(tc_prod(_u11487, _u11489)))), c_Product__Type_OPair(_u11487, _u11489)))), _u11491)), hAPP(hAPP(c_COMBC(_u11487, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_fun(_u11489, tc_HOL_Obool)), _u11487), c_COMBC(_u11489, tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11489, tc_prod(_u11487, _u11489)), tc_fun(_u11489, tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool)), _u11487), hAPP(c_COMBB(tc_prod(_u11487, _u11489), tc_fun(tc_fun(tc_prod(_u11487, _u11489), tc_HOL_Obool), tc_HOL_Obool), _u11489), c_member(tc_prod(_u11487, _u11489)))), c_Product__Type_OPair(_u11487, _u11489)))), _u11493))) )).
% 12.29/12.54 cnf(matrix-5549, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11500, tc_fun(_u11502, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11500, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), _u11500), c_COMBC(_u11502, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_prod(_u11500, _u11502)), tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), _u11500), hAPP(c_COMBB(tc_prod(_u11500, _u11502), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool), _u11502), c_member(tc_prod(_u11500, _u11502)))), c_Product__Type_OPair(_u11500, _u11502)))), _u11504)), hAPP(hAPP(c_COMBC(_u11500, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_fun(_u11502, tc_HOL_Obool)), _u11500), c_COMBC(_u11502, tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11502, tc_prod(_u11500, _u11502)), tc_fun(_u11502, tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool)), _u11500), hAPP(c_COMBB(tc_prod(_u11500, _u11502), tc_fun(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool), tc_HOL_Obool), _u11502), c_member(tc_prod(_u11500, _u11502)))), c_Product__Type_OPair(_u11500, _u11502)))), _u11506)), _u11508), _u11510)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11500, _u11502)), hAPP(hAPP(c_Product__Type_OPair(_u11500, _u11502), _u11508), _u11510)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11500, _u11502), tc_HOL_Obool)), _u11504), _u11506))) )).
% 12.29/12.54 cnf(matrix-5550, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11501, _u11503)), hAPP(hAPP(c_Product__Type_OPair(_u11501, _u11503), _u11509), _u11511)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool)), _u11505), _u11507))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11501, tc_fun(_u11503, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u11501, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), _u11501), c_COMBC(_u11503, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_prod(_u11501, _u11503)), tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), _u11501), hAPP(c_COMBB(tc_prod(_u11501, _u11503), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool), _u11503), c_member(tc_prod(_u11501, _u11503)))), c_Product__Type_OPair(_u11501, _u11503)))), _u11505)), hAPP(hAPP(c_COMBC(_u11501, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_fun(_u11503, tc_HOL_Obool)), _u11501), c_COMBC(_u11503, tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11503, tc_prod(_u11501, _u11503)), tc_fun(_u11503, tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool)), _u11501), hAPP(c_COMBB(tc_prod(_u11501, _u11503), tc_fun(tc_fun(tc_prod(_u11501, _u11503), tc_HOL_Obool), tc_HOL_Obool), _u11503), c_member(tc_prod(_u11501, _u11503)))), c_Product__Type_OPair(_u11501, _u11503)))), _u11507)), _u11509), _u11511)) )).
% 12.29/12.54 cnf(matrix-5551, plain, ( ~class_Enum_Oenum(_u11512) | ~class_Enum_Oenum(_u11513) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u11513, _u11512)), _u11514)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u11513), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_HOL_Obool, _u11513), c_Enum_Oenum__class_Oenum__ex(_u11512)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_prod(_u11513, _u11512)), tc_fun(_u11512, tc_HOL_Obool), _u11513), hAPP(c_COMBB(tc_prod(_u11513, _u11512), tc_HOL_Obool, _u11512), _u11514)), c_Product__Type_OPair(_u11513, _u11512))))) )).
% 12.29/12.54 cnf(matrix-5552, plain, ( ~class_Enum_Oenum(_u11512) | ~class_Enum_Oenum(_u11513) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u11513), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_HOL_Obool), tc_HOL_Obool, _u11513), c_Enum_Oenum__class_Oenum__ex(_u11512)), hAPP(hAPP(c_COMBB(tc_fun(_u11512, tc_prod(_u11513, _u11512)), tc_fun(_u11512, tc_HOL_Obool), _u11513), hAPP(c_COMBB(tc_prod(_u11513, _u11512), tc_HOL_Obool, _u11512), _u11514)), c_Product__Type_OPair(_u11513, _u11512))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u11513, _u11512)), _u11514)) )).
% 12.29/12.54 cnf(matrix-5553, plain, ( ~class_Enum_Oenum(_u11515) | ~class_Enum_Oenum(_u11516) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u11516, _u11515)), _u11517)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u11516), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_HOL_Obool), tc_HOL_Obool, _u11516), c_Enum_Oenum__class_Oenum__all(_u11515)), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_prod(_u11516, _u11515)), tc_fun(_u11515, tc_HOL_Obool), _u11516), hAPP(c_COMBB(tc_prod(_u11516, _u11515), tc_HOL_Obool, _u11515), _u11517)), c_Product__Type_OPair(_u11516, _u11515))))) )).
% 12.29/12.54 cnf(matrix-5554, plain, ( ~class_Enum_Oenum(_u11515) | ~class_Enum_Oenum(_u11516) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u11516), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_HOL_Obool), tc_HOL_Obool, _u11516), c_Enum_Oenum__class_Oenum__all(_u11515)), hAPP(hAPP(c_COMBB(tc_fun(_u11515, tc_prod(_u11516, _u11515)), tc_fun(_u11515, tc_HOL_Obool), _u11516), hAPP(c_COMBB(tc_prod(_u11516, _u11515), tc_HOL_Obool, _u11515), _u11517)), c_Product__Type_OPair(_u11516, _u11515))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u11516, _u11515)), _u11517)) )).
% 12.29/12.54 cnf(matrix-5555, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11525), _u11527), hAPP(c_Relation_OImage(_u11529, _u11525, _u11531), _u11533))) | hBOOL(hAPP(hAPP(c_member(_u11529), skolem293(_u11533, _u11531, _u11529, _u11527, _u11525)), _u11533)) )).
% 12.29/12.54 cnf(matrix-5556, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11525), _u11527), hAPP(c_Relation_OImage(_u11529, _u11525, _u11531), _u11533))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11529, _u11525)), hAPP(hAPP(c_Product__Type_OPair(_u11529, _u11525), skolem293(_u11533, _u11531, _u11529, _u11527, _u11525)), _u11527)), _u11531)) )).
% 12.29/12.54 cnf(matrix-5557, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11530), _u11519), _u11534)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11530, _u11526)), hAPP(hAPP(c_Product__Type_OPair(_u11530, _u11526), _u11519), _u11528)), _u11532)) | hBOOL(hAPP(hAPP(c_member(_u11526), _u11528), hAPP(c_Relation_OImage(_u11530, _u11526, _u11532), _u11534))) )).
% 12.29/12.54 cnf(matrix-5558, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11535), _u11536), _u11537)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11535, _u11538)), hAPP(hAPP(c_Product__Type_OPair(_u11535, _u11538), _u11536), _u11539)), _u11540)) | hBOOL(hAPP(hAPP(c_member(_u11538), _u11539), hAPP(c_Relation_OImage(_u11535, _u11538, _u11540), _u11537))) )).
% 12.29/12.54 cnf(matrix-5559, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11541, _u11542), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11543), _u11544))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11541, _u11542), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11545), _u11546))) | ( _u11542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11544 = _u11546) )).
% 12.29/12.54 cnf(matrix-5560, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11547, _u11548), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11549), _u11550))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11547, _u11548), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11551), _u11552))) | ( _u11548 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11549 = _u11551) )).
% 12.29/12.54 cnf(matrix-5561, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11553, _u11553), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11554), _u11555))) | ( _u11553 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11555 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5562, plain, ( ( _u11556 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11556), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-5563, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11563, tc_fun(_u11565, tc_fun(_u11567, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11563, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_fun(_u11565, tc_fun(_u11567, tc_HOL_Obool)), _u11563), hAPP(c_COMBC(_u11565, tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_fun(_u11567, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11567, tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_fun(_u11567, tc_HOL_Obool)), _u11565), c_COMBC(_u11567, tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11567, tc_prod(_u11565, _u11567)), tc_fun(_u11567, tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool)), _u11565), hAPP(c_COMBB(tc_prod(_u11565, _u11567), tc_fun(tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool), tc_HOL_Obool), _u11567), c_member(tc_prod(_u11565, _u11567)))), c_Product__Type_OPair(_u11565, _u11567))))), _u11569)), _u11571), _u11573)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11565, _u11567)), hAPP(hAPP(c_Product__Type_OPair(_u11565, _u11567), _u11571), _u11573)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11563, tc_fun(tc_prod(_u11565, _u11567), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11563, tc_HOL_Obool))), _u11569))) )).
% 12.29/12.54 cnf(matrix-5564, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11566, _u11568)), hAPP(hAPP(c_Product__Type_OPair(_u11566, _u11568), _u11572), _u11574)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11564, tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11564, tc_HOL_Obool))), _u11570))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11564, tc_fun(_u11566, tc_fun(_u11568, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11564, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_fun(_u11566, tc_fun(_u11568, tc_HOL_Obool)), _u11564), hAPP(c_COMBC(_u11566, tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_fun(_u11568, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11568, tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_fun(_u11568, tc_HOL_Obool)), _u11566), c_COMBC(_u11568, tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11568, tc_prod(_u11566, _u11568)), tc_fun(_u11568, tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool)), _u11566), hAPP(c_COMBB(tc_prod(_u11566, _u11568), tc_fun(tc_fun(tc_prod(_u11566, _u11568), tc_HOL_Obool), tc_HOL_Obool), _u11568), c_member(tc_prod(_u11566, _u11568)))), c_Product__Type_OPair(_u11566, _u11568))))), _u11570)), _u11572), _u11574)) )).
% 12.29/12.54 cnf(matrix-5565, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11581, tc_fun(_u11583, tc_fun(_u11585, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_fun(_u11583, tc_fun(_u11585, tc_HOL_Obool)), _u11581), hAPP(c_COMBC(_u11583, tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_fun(_u11585, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11585, tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_fun(_u11585, tc_HOL_Obool)), _u11583), c_COMBC(_u11585, tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11585, tc_prod(_u11583, _u11585)), tc_fun(_u11585, tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool)), _u11583), hAPP(c_COMBB(tc_prod(_u11583, _u11585), tc_fun(tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool), tc_HOL_Obool), _u11585), c_member(tc_prod(_u11583, _u11585)))), c_Product__Type_OPair(_u11583, _u11585))))), _u11587)), _u11589), _u11591)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11583, _u11585)), hAPP(hAPP(c_Product__Type_OPair(_u11583, _u11585), _u11589), _u11591)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11581, tc_fun(tc_prod(_u11583, _u11585), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11581, tc_HOL_Obool))), _u11587))) )).
% 12.29/12.54 cnf(matrix-5566, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11584, _u11586)), hAPP(hAPP(c_Product__Type_OPair(_u11584, _u11586), _u11590), _u11592)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11582, tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u11582, tc_HOL_Obool))), _u11588))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11582, tc_fun(_u11584, tc_fun(_u11586, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_fun(_u11584, tc_fun(_u11586, tc_HOL_Obool)), _u11582), hAPP(c_COMBC(_u11584, tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_fun(_u11586, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11586, tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_fun(_u11586, tc_HOL_Obool)), _u11584), c_COMBC(_u11586, tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11586, tc_prod(_u11584, _u11586)), tc_fun(_u11586, tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool)), _u11584), hAPP(c_COMBB(tc_prod(_u11584, _u11586), tc_fun(tc_fun(tc_prod(_u11584, _u11586), tc_HOL_Obool), tc_HOL_Obool), _u11586), c_member(tc_prod(_u11584, _u11586)))), c_Product__Type_OPair(_u11584, _u11586))))), _u11588)), _u11590), _u11592)) )).
% 12.29/12.54 cnf(matrix-5567, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11593, _u11593), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11594), _u11595))) | ( _u11593 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11594 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5568, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11596, _u11597), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11598), _u11599))) | ( _u11597 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11596, _u11597) = _u11599) )).
% 12.29/12.54 cnf(matrix-5569, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11600, _u11601), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11602), _u11603))) | ( _u11601 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11600), _u11601) = _u11602) )).
% 12.29/12.54 cnf(matrix-5570, plain, ( ~class_Rings_Osemiring__1(_u11604) | hBOOL(hAPP(hAPP(c_member(_u11604), c_Groups_Ozero__class_Ozero(_u11604)), c_Nat_Osemiring__1__class_ONats(_u11604))) )).
% 12.29/12.54 cnf(matrix-5571, plain, ( ( c_Divides_Odivmod__int(_u11605, _u11606) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11605), _u11606)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11605, _u11606))) )).
% 12.29/12.54 cnf(matrix-5572, plain, ( ~class_Rings_Osemiring__1(_u11607) | ~hBOOL(hAPP(hAPP(c_member(_u11607), _u11608), c_Nat_Osemiring__1__class_ONats(_u11607))) | ~hBOOL(hAPP(hAPP(c_member(_u11607), _u11609), c_Nat_Osemiring__1__class_ONats(_u11607))) | hBOOL(hAPP(hAPP(c_member(_u11607), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u11607), _u11608), _u11609)), c_Nat_Osemiring__1__class_ONats(_u11607))) )).
% 12.29/12.54 cnf(matrix-5573, plain, ( ~class_Rings_Osemiring__1(_u11610) | ~hBOOL(hAPP(hAPP(c_member(_u11610), _u11611), c_Nat_Osemiring__1__class_ONats(_u11610))) | ~hBOOL(hAPP(hAPP(c_member(_u11610), _u11612), c_Nat_Osemiring__1__class_ONats(_u11610))) | hBOOL(hAPP(hAPP(c_member(_u11610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11610), _u11611), _u11612)), c_Nat_Osemiring__1__class_ONats(_u11610))) )).
% 12.29/12.54 cnf(matrix-5574, plain, ( ~class_Rings_Osemiring__1(_u11613) | hBOOL(hAPP(hAPP(c_member(_u11613), c_Groups_Oone__class_Oone(_u11613)), c_Nat_Osemiring__1__class_ONats(_u11613))) )).
% 12.29/12.54 cnf(matrix-5575, plain, ( ~class_Rings_Osemiring__1(_u11614) | hBOOL(hAPP(hAPP(c_member(_u11614), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11614), _u11615)), c_Nat_Osemiring__1__class_ONats(_u11614))) )).
% 12.29/12.54 cnf(matrix-5576, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11621), _u11623), hAPP(c_Relation_OImage(_u11625, _u11621, _u11627), hAPP(hAPP(c_Set_Oinsert(_u11625), _u11629), c_Orderings_Obot__class_Obot(tc_fun(_u11625, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11625, _u11621)), hAPP(hAPP(c_Product__Type_OPair(_u11625, _u11621), _u11629), _u11623)), _u11627)) )).
% 12.29/12.54 cnf(matrix-5577, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11626, _u11622)), hAPP(hAPP(c_Product__Type_OPair(_u11626, _u11622), _u11630), _u11624)), _u11628)) | hBOOL(hAPP(hAPP(c_member(_u11622), _u11624), hAPP(c_Relation_OImage(_u11626, _u11622, _u11628), hAPP(hAPP(c_Set_Oinsert(_u11626), _u11630), c_Orderings_Obot__class_Obot(tc_fun(_u11626, tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5578, plain, ( ( _u11631 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11632, _u11631), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11632), _u11631)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11632, _u11631)))) )).
% 12.29/12.54 cnf(matrix-5579, plain, ( ( hAPP(c_Relation_OImage(_u11633, _u11634, _u11635), hAPP(hAPP(c_Set_Oinsert(_u11633), _u11636), c_Orderings_Obot__class_Obot(tc_fun(_u11633, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u11634), hAPP(hAPP(c_COMBC(_u11634, tc_fun(tc_prod(_u11633, _u11634), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u11633, _u11634), tc_fun(tc_fun(tc_prod(_u11633, _u11634), tc_HOL_Obool), tc_HOL_Obool), _u11634), c_member(tc_prod(_u11633, _u11634))), hAPP(c_Product__Type_OPair(_u11633, _u11634), _u11636))), _u11635))) )).
% 12.29/12.54 cnf(matrix-5580, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11637, _u11638), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11639), _u11640))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11641, _u11638), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11642), _u11643))) | ( _u11638 = 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), _u11637), _u11641), _u11638), 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), _u11639), _u11642)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11640), _u11643)), _u11638))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u11640), _u11643), _u11638)))) )).
% 12.29/12.54 cnf(matrix-5581, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11644, _u11645), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11646), _u11647))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11644), _u11645), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11647), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11646)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11646)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u11647), 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), _u11645), _u11647))))) )).
% 12.29/12.54 cnf(matrix-5582, plain, ( ( _u11648 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11649), _u11650)), _u11651)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11648, _u11649), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11650), _u11651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11649), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11651), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5583, plain, ( ( _u11648 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11649), _u11650)), _u11651)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11648, _u11649), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11650), _u11651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11651), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11649)) )).
% 12.29/12.54 cnf(matrix-5584, plain, ( ( _u11648 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11649), _u11650)), _u11651)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11648, _u11649), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11650), _u11651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11651), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11649), _u11651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11651), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5585, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11652, _u11653), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11654), _u11655))) | ( _u11653 = 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), _u11656), _u11652), _u11653), 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), _u11656), _u11654)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11656), _u11655)), _u11653))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u11656), _u11655), _u11653)))) )).
% 12.29/12.54 cnf(matrix-5586, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11657, _u11658)), hAPP(hAPP(c_Product__Type_OPair(_u11657, _u11658), _u11659), _u11660)), _u11661)) | hBOOL(hAPP(hAPP(c_member(_u11662), hAPP(hAPP(_u11663, _u11659), _u11660)), hAPP(c_Set_Oimage(tc_prod(_u11657, _u11658), _u11662, hAPP(c_Product__Type_Oprod_Oprod__case(_u11657, _u11658, _u11662), _u11663)), _u11661))) )).
% 12.29/12.54 cnf(matrix-5587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11666), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11668, _u11666) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11668), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11666))) )).
% 12.29/12.54 cnf(matrix-5588, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11667), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11669, _u11667) = 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))) | ( _u11669 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5589, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11667), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11669, _u11667) = 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))) | ( _u11667 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5590, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11667), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11669 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11667 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11669, _u11667) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11669), _u11667)), 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), _u11669))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11667)))) )).
% 12.29/12.54 cnf(matrix-5591, plain, ( ( hAPP(c_Divides_Oadjust(_u11670), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11671), _u11672)) = 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), _u11672), _u11670)), 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)))), _u11671)), 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)))), _u11671)), _u11672)))) )).
% 12.29/12.54 cnf(matrix-5592, plain, ( hBOOL(hAPP(hAPP(_u11675, _u11677), _u11678)) | hBOOL(hAPP(hAPP(_u11676, _u11677), _u11678)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11673, tc_fun(_u11674, tc_HOL_Obool))), _u11675), _u11676), _u11677), _u11678)) )).
% 12.29/12.54 cnf(matrix-5593, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11683, tc_fun(_u11684, tc_HOL_Obool))), _u11682), _u11679), _u11680), _u11681)) | ~hBOOL(hAPP(hAPP(_u11679, _u11680), _u11681)) )).
% 12.29/12.54 cnf(matrix-5594, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11683, tc_fun(_u11684, tc_HOL_Obool))), _u11682), _u11679), _u11680), _u11681)) | ~hBOOL(hAPP(hAPP(_u11682, _u11680), _u11681)) )).
% 12.29/12.54 cnf(matrix-5595, plain, ( ~hBOOL(hAPP(hAPP(_u11685, _u11686), _u11687)) | ~hBOOL(hAPP(hAPP(_u11688, _u11686), _u11687)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11689, tc_fun(_u11690, tc_HOL_Obool))), _u11685), _u11688), _u11686), _u11687)) )).
% 12.29/12.54 cnf(matrix-5596, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11691, tc_fun(_u11692, tc_HOL_Obool))), _u11693), _u11694), _u11695), _u11696)) | hBOOL(hAPP(hAPP(_u11693, _u11695), _u11696)) )).
% 12.29/12.54 cnf(matrix-5597, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11691, tc_fun(_u11692, tc_HOL_Obool))), _u11693), _u11694), _u11695), _u11696)) | hBOOL(hAPP(hAPP(_u11694, _u11695), _u11696)) )).
% 12.29/12.54 cnf(matrix-5598, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11697), _u11698), hAPP(hAPP(_u11699, _u11700), _u11701))) | hBOOL(hAPP(hAPP(c_member(_u11697), _u11698), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11702, _u11703, tc_fun(_u11697, tc_HOL_Obool)), _u11699), hAPP(hAPP(c_Product__Type_OPair(_u11702, _u11703), _u11700), _u11701)))) )).
% 12.29/12.54 cnf(matrix-5599, plain, ( ~hBOOL(hAPP(hAPP(_u11704, _u11705), _u11706)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11707, _u11708, tc_HOL_Obool), _u11704), hAPP(hAPP(c_Product__Type_OPair(_u11707, _u11708), _u11705), _u11706))) )).
% 12.29/12.54 cnf(matrix-5600, plain, ( ~hBOOL(hAPP(hAPP(_u11709, _u11710), _u11711)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11712, _u11713, tc_HOL_Obool), _u11709), hAPP(hAPP(c_Product__Type_OPair(_u11712, _u11713), _u11710), _u11711))) )).
% 12.29/12.54 cnf(matrix-5601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u11714, tc_fun(_u11715, tc_HOL_Obool))), _u11716), _u11717)) )).
% 12.29/12.54 cnf(matrix-5602, plain, ( c_Fun_Oinj__on(tc_prod(_u11718, _u11719), tc_prod(_u11719, _u11718), hAPP(c_Product__Type_Oprod_Oprod__case(_u11718, _u11719, tc_prod(_u11719, _u11718)), hAPP(c_COMBC(_u11719, _u11718, tc_prod(_u11719, _u11718)), c_Product__Type_OPair(_u11719, _u11718))), _u11720) )).
% 12.29/12.54 cnf(matrix-5603, plain, ( hBOOL(hAPP(hAPP(hAPP(_u11724, _u11725), _u11726), _u11727)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11721, _u11722, tc_fun(_u11723, tc_HOL_Obool)), _u11724), hAPP(hAPP(c_Product__Type_OPair(_u11721, _u11722), _u11725), _u11726)), _u11727)) )).
% 12.29/12.54 cnf(matrix-5604, plain, ( hBOOL(hAPP(hAPP(_u11730, _u11732), _u11733)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11728, tc_fun(_u11729, tc_HOL_Obool))), _u11730), _u11731), _u11732), _u11733)) )).
% 12.29/12.54 cnf(matrix-5605, plain, ( hBOOL(hAPP(hAPP(_u11737, _u11738), _u11739)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11734, tc_fun(_u11735, tc_HOL_Obool))), _u11736), _u11737), _u11738), _u11739)) )).
% 12.29/12.54 cnf(matrix-5606, plain, ( ~hBOOL(hAPP(hAPP(_u11740, _u11741), _u11742)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11743, tc_fun(_u11744, tc_HOL_Obool))), _u11740), _u11745), _u11741), _u11742)) )).
% 12.29/12.54 cnf(matrix-5607, plain, ( ~hBOOL(hAPP(hAPP(_u11746, _u11747), _u11748)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11749, tc_fun(_u11750, tc_HOL_Obool))), _u11751), _u11746), _u11747), _u11748)) )).
% 12.29/12.54 cnf(matrix-5608, plain, ( ~hBOOL(hAPP(hAPP(_u11752, _u11753), _u11754)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11755, tc_fun(_u11756, tc_HOL_Obool))), _u11752), _u11757)) | hBOOL(hAPP(hAPP(_u11757, _u11753), _u11754)) )).
% 12.29/12.54 cnf(matrix-5609, plain, ( ~hBOOL(hAPP(hAPP(_u11760, _u11762), _u11763)) | hBOOL(hAPP(hAPP(_u11761, _u11762), _u11763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11758, tc_fun(_u11759, tc_HOL_Obool))), _u11760), _u11761)) )).
% 12.29/12.54 cnf(matrix-5610, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11766), _u11767) != hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11768), _u11769)) | ( _u11766 = _u11768) )).
% 12.29/12.54 cnf(matrix-5611, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11766), _u11767) != hAPP(hAPP(c_Product__Type_OPair(_u11764, _u11765), _u11768), _u11769)) | ( _u11767 = _u11769) )).
% 12.29/12.54 cnf(matrix-5612, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11780), _u11782) != hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11784), _u11786)) | ( _u11780 = _u11784) )).
% 12.29/12.54 cnf(matrix-5613, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11780), _u11782) != hAPP(hAPP(c_Product__Type_OPair(_u11776, _u11778), _u11784), _u11786)) | ( _u11782 = _u11786) )).
% 12.29/12.54 cnf(matrix-5614, plain, ( ( _u11781 != _u11785) | ( _u11783 != _u11787) | ( hAPP(hAPP(c_Product__Type_OPair(_u11777, _u11779), _u11781), _u11783) = hAPP(hAPP(c_Product__Type_OPair(_u11777, _u11779), _u11785), _u11787)) )).
% 12.29/12.54 cnf(matrix-5615, plain, ( ~hBOOL(hAPP(_u11797, skolem294(_u11801, _u11799, _u11797))) | hBOOL(hAPP(_u11797, hAPP(hAPP(c_Product__Type_OPair(_u11799, _u11801), _u11790), _u11789))) )).
% 12.29/12.54 cnf(matrix-5616, plain, ( ~hBOOL(hAPP(_u11798, hAPP(hAPP(c_Product__Type_OPair(_u11800, _u11802), skolem295(_u11802, _u11800, _u11798)), skolem296(_u11802, _u11800, _u11798)))) | hBOOL(hAPP(_u11798, _u11793)) )).
% 12.29/12.54 cnf(matrix-5617, plain, ( ( _u11803 != _u11804) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11805, _u11806, _u11807), _u11808), _u11803) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11805, _u11806, _u11807), _u11808), _u11804)) )).
% 12.29/12.54 cnf(matrix-5618, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11809, _u11810, _u11811), _u11812), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11813, _u11814, tc_prod(_u11809, _u11810)), _u11815), _u11816)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11813, _u11814, _u11811), hAPP(hAPP(c_COMBB(tc_fun(_u11814, tc_prod(_u11809, _u11810)), tc_fun(_u11814, _u11811), _u11813), hAPP(c_COMBB(tc_prod(_u11809, _u11810), _u11811, _u11814), hAPP(c_Product__Type_Oprod_Oprod__case(_u11809, _u11810, _u11811), _u11812))), _u11815)), _u11816)) )).
% 12.29/12.54 cnf(matrix-5619, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11817, _u11818, _u11819), _u11820), hAPP(hAPP(c_Product__Type_OPair(_u11817, _u11818), _u11821), _u11822)) = hAPP(hAPP(_u11820, _u11821), _u11822)) )).
% 12.29/12.54 cnf(matrix-5620, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11823, _u11824, _u11825), _u11826), hAPP(hAPP(c_Product__Type_OPair(_u11823, _u11824), _u11827), _u11828)) = hAPP(hAPP(_u11826, _u11827), _u11828)) )).
% 12.29/12.54 cnf(matrix-5621, plain, ( hBOOL(hAPP(hAPP(_u11831, _u11832), _u11833)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11829, _u11830, tc_HOL_Obool), _u11831), hAPP(hAPP(c_Product__Type_OPair(_u11829, _u11830), _u11832), _u11833))) )).
% 12.29/12.54 cnf(matrix-5622, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u11834, _u11835, _u11836), hAPP(hAPP(c_COMBB(tc_fun(_u11835, tc_prod(_u11834, _u11835)), tc_fun(_u11835, _u11836), _u11834), hAPP(c_COMBB(tc_prod(_u11834, _u11835), _u11836, _u11835), _u11837)), c_Product__Type_OPair(_u11834, _u11835))) = _u11837) )).
% 12.29/12.54 cnf(matrix-5623, plain, ( ( c_HOL_OThe(tc_prod(_u11838, _u11839), hAPP(c_Product__Type_Oprod_Oprod__case(_u11838, _u11839, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11838, tc_fun(_u11839, tc_HOL_Obool), tc_fun(_u11839, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11839, tc_HOL_Obool), tc_fun(_u11839, tc_HOL_Obool)), _u11838), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11839)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11838), c_fconj), hAPP(c_fequal, _u11840)))), hAPP(c_fequal, _u11841)))) = hAPP(hAPP(c_Product__Type_OPair(_u11838, _u11839), _u11840), _u11841)) )).
% 12.29/12.54 cnf(matrix-5624, plain, ( ( c_HOL_OThe(tc_prod(_u11842, _u11843), _u11844) = c_HOL_OThe(tc_prod(_u11842, _u11843), hAPP(c_Product__Type_Oprod_Oprod__case(_u11842, _u11843, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11843, tc_prod(_u11842, _u11843)), tc_fun(_u11843, tc_HOL_Obool), _u11842), hAPP(c_COMBB(tc_prod(_u11842, _u11843), tc_HOL_Obool, _u11843), _u11844)), c_Product__Type_OPair(_u11842, _u11843))))) )).
% 12.29/12.54 cnf(matrix-5625, plain, ( ( c_Divides_Oadjust(_u11845) = 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)), _u11845))))), 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)), _u11845))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 12.29/12.54 cnf(matrix-5626, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11851, _u11853, _u11855), _u11857), _u11859)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11851, _u11853)), hAPP(hAPP(c_Product__Type_OPair(_u11851, _u11853), _u11857), _u11859)), _u11855)) )).
% 12.29/12.54 cnf(matrix-5627, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11852, _u11854)), hAPP(hAPP(c_Product__Type_OPair(_u11852, _u11854), _u11858), _u11860)), _u11856)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11852, _u11854, _u11856), _u11858), _u11860)) )).
% 12.29/12.54 cnf(matrix-5628, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11861, _u11862) = 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), _u11861), _u11862)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11861, _u11862))) )).
% 12.29/12.54 cnf(matrix-5629, 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), _u11863))) | ~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), _u11863)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11863)) = 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), _u11863)))) )).
% 12.29/12.54 cnf(matrix-5630, 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), _u11863))) | 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), _u11863)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11863)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11863)), 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), _u11863))))) )).
% 12.29/12.54 cnf(matrix-5631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11864), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11865)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11864, _u11865), c_Divides_OnegDivAlg(_u11864, _u11865))) )).
% 12.29/12.54 cnf(matrix-5632, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11866), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11867)) | ( c_Divides_OnegDivAlg(_u11866, _u11867) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11866), _u11867)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11866, _u11867))) )).
% 12.29/12.54 cnf(matrix-5633, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11868) = 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), _u11868), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-5634, plain, ( ( c_Divides_OnegDivAlg(_u11871, _u11873) = 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), _u11871), _u11873))) | ~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), _u11871), _u11873))) )).
% 12.29/12.54 cnf(matrix-5635, plain, ( ( c_Divides_OnegDivAlg(_u11871, _u11873) = 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), _u11871), _u11873))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11873), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5636, 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), _u11872), _u11874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11874), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11872, _u11874) = hAPP(c_Divides_Oadjust(_u11874), c_Divides_OnegDivAlg(_u11872, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11874)))) )).
% 12.29/12.54 cnf(matrix-5637, 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), _u11875))) | ~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), _u11876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11876), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)) = 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), _u11876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)))) )).
% 12.29/12.54 cnf(matrix-5638, 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), _u11875))) | 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), _u11876)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11876), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11875)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11876), hAPP(hAPP(c_Groups_Otimes__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), _u11875))))) )).
% 12.29/12.54 cnf(matrix-5639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11877)) | ~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), _u11878), _u11877))) | ( c_Divides_OnegDivAlg(_u11878, _u11877) = 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), _u11878), _u11877))) )).
% 12.29/12.54 cnf(matrix-5640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11877)) | 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), _u11878), _u11877))) | ( c_Divides_OnegDivAlg(_u11878, _u11877) = hAPP(c_Divides_Oadjust(_u11877), c_Divides_OnegDivAlg(_u11878, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11877)))) )).
% 12.29/12.54 cnf(matrix-5641, plain, ( ~c_Nitpick_Orefl_H(_u11883, _u11885) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11883, _u11883)), hAPP(hAPP(c_Product__Type_OPair(_u11883, _u11883), _u11879), _u11879)), _u11885)) )).
% 12.29/12.54 cnf(matrix-5642, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11884, _u11884)), hAPP(hAPP(c_Product__Type_OPair(_u11884, _u11884), skolem297(_u11886, _u11884)), skolem297(_u11886, _u11884))), _u11886)) | c_Nitpick_Orefl_H(_u11884, _u11886) )).
% 12.29/12.54 cnf(matrix-5643, 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), _u11887))) | ~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), _u11887))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11887)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5644, 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), _u11887))) | 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), _u11887))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11887)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11887)), 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), _u11887))))) )).
% 12.29/12.54 cnf(matrix-5645, plain, ( ( c_Divides_OposDivAlg(_u11890, _u11892) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11890), _u11892)) )).
% 12.29/12.54 cnf(matrix-5646, plain, ( ( c_Divides_OposDivAlg(_u11890, _u11892) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11892), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5647, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11891), _u11893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11893), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11891, _u11893) = hAPP(c_Divides_Oadjust(_u11893), c_Divides_OposDivAlg(_u11891, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11893)))) )).
% 12.29/12.54 cnf(matrix-5648, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11894) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11896)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11895, _u11896), c_Divides_OposDivAlg(_u11895, _u11896))) )).
% 12.29/12.54 cnf(matrix-5650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11898)) | ( c_Divides_OposDivAlg(_u11897, _u11898) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11897), _u11898)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11897, _u11898))) )).
% 12.29/12.54 cnf(matrix-5651, 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), _u11899))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899)) = 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), _u11900))) )).
% 12.29/12.54 cnf(matrix-5652, 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), _u11899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11899)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11900), hAPP(hAPP(c_Groups_Otimes__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), _u11899))))) )).
% 12.29/12.54 cnf(matrix-5653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11902), _u11901)) | ( c_Divides_OposDivAlg(_u11902, _u11901) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11902)) )).
% 12.29/12.54 cnf(matrix-5654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11902), _u11901)) | ( c_Divides_OposDivAlg(_u11902, _u11901) = hAPP(c_Divides_Oadjust(_u11901), c_Divides_OposDivAlg(_u11902, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11901)))) )).
% 12.29/12.54 cnf(matrix-5655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11907)) | ( c_Divides_Odivmod__int(_u11905, _u11907) = c_Divides_OposDivAlg(_u11905, _u11907)) )).
% 12.29/12.54 cnf(matrix-5656, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11907)) | ( _u11905 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11905, _u11907) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5657, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11907)) | ( _u11905 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11905, _u11907) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11905), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11907)))) )).
% 12.29/12.54 cnf(matrix-5658, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11906)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11908)) | ( c_Divides_Odivmod__int(_u11906, _u11908) = c_Divides_OnegDivAlg(_u11906, _u11908)) )).
% 12.29/12.54 cnf(matrix-5659, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11908)) | ( c_Divides_Odivmod__int(_u11906, _u11908) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11906), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11908)))) )).
% 12.29/12.54 cnf(matrix-5660, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11909), _u11910)) | ( c_Divides_Odivmod__nat(_u11910, _u11909) = 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), _u11910), _u11909)), _u11909))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11910), _u11909), _u11909))) )).
% 12.29/12.54 cnf(matrix-5661, plain, ( ( _u11913 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11913, _u11915) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5662, plain, ( ( _u11914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11916 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11914, _u11916) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11914)) )).
% 12.29/12.54 cnf(matrix-5663, plain, ( ( _u11914 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11916 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11914, _u11916) = 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, _u11916))), 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)), _u11916)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11914))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11916), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u11914, _u11916)), 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), _u11916))))), c_Divides_Opdivmod(_u11914, _u11916))))) )).
% 12.29/12.54 cnf(matrix-5664, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11917, _u11918, _u11919, _u11920), hAPP(c_Product__Type_Oapsnd(_u11921, _u11917, _u11919, _u11922), _u11923)) = hAPP(c_Product__Type_Oapsnd(_u11921, _u11918, _u11919, hAPP(c_Fun_Ocomp(_u11917, _u11918, _u11921, _u11920), _u11922)), _u11923)) )).
% 12.29/12.54 cnf(matrix-5665, plain, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5666, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11924, _u11925, _u11926, _u11927), hAPP(hAPP(c_Product__Type_OPair(_u11926, _u11924), _u11928), _u11929)) = hAPP(hAPP(c_Product__Type_OPair(_u11926, _u11925), _u11928), hAPP(_u11927, _u11929))) )).
% 12.29/12.54 cnf(matrix-5667, plain, ( ( c_Divides_Odivmod__nat(_u11930, 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)), _u11930)) )).
% 12.29/12.54 cnf(matrix-5668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11931), _u11932)) | ( c_Divides_Odivmod__nat(_u11931, _u11932) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11931)) )).
% 12.29/12.54 cnf(matrix-5669, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11933), _u11934)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11933), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11934))) )).
% 12.29/12.54 cnf(matrix-5670, plain, ( ( c_Divides_Odivmod__nat(_u11935, _u11936) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11935), _u11936)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11935, _u11936))) )).
% 12.29/12.54 cnf(matrix-5671, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11937), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11938)), _u11939)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11937, _u11938), hAPP(c_Divides_OnegateSnd, _u11939))) )).
% 12.29/12.54 cnf(matrix-5672, plain, ( ( c_Divides_Odivmod__nat(_u11944, _u11942) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11944)) | ( _u11942 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5673, plain, ( ( c_Divides_Odivmod__nat(_u11944, _u11942) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11944), _u11942)) )).
% 12.29/12.54 cnf(matrix-5674, plain, ( ( _u11943 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11945), _u11943)) | ( c_Divides_Odivmod__nat(_u11945, _u11943) = 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), _u11945), _u11943), _u11943))) )).
% 12.29/12.54 cnf(matrix-5675, plain, ( ( c_Divides_Opdivmod(_u11946, _u11947) = 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), _u11946)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11947))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11946), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11947)))) )).
% 12.29/12.54 cnf(matrix-5676, plain, ( ( _u11950 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11952, _u11950) = 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), _u11952))) )).
% 12.29/12.54 cnf(matrix-5677, plain, ( ( _u11951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11953, _u11951) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11953), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11951))) )).
% 12.29/12.54 cnf(matrix-5678, plain, ( ( _u11956 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11956, _u11958) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5679, plain, ( ( _u11957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11959 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11957, _u11959) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11957)) )).
% 12.29/12.54 cnf(matrix-5680, plain, ( ( _u11957 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11959 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11957, _u11959) = 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, _u11959))), 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, _u11957)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11959))), c_Divides_Opdivmod(_u11957, _u11959)), 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), _u11959))))), c_Divides_Opdivmod(_u11957, _u11959))))) )).
% 12.29/12.54 cnf(matrix-5681, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11960, _u11961), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11962), _u11963))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11961)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11964), _u11960), _u11961), 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), _u11964), _u11962)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11964), _u11963)), _u11961))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11964), _u11963), _u11961)))) )).
% 12.29/12.54 cnf(matrix-5682, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11965, _u11966), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11967), _u11968))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11966)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11969)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11965, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11966), _u11969)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11967), _u11969)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11966), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11967, _u11969))), _u11968)))) )).
% 12.29/12.54 cnf(matrix-5683, 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), _u11970), _u11971))) | ( c_Divides_OnegDivAlg(_u11970, _u11971) = 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), _u11970), _u11971))) | ~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), _u11970), _u11971))) )).
% 12.29/12.54 cnf(matrix-5684, 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), _u11970), _u11971))) | ( c_Divides_OnegDivAlg(_u11970, _u11971) = 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), _u11970), _u11971))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5685, 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), _u11970), _u11971))) | 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), _u11970), _u11971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11970, _u11971) = hAPP(c_Divides_Oadjust(_u11971), c_Divides_OnegDivAlg(_u11970, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11971)))) )).
% 12.29/12.54 cnf(matrix-5686, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11972, _u11973), _u11974)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11972, _u11973), _u11975)) | ( _u11974 = _u11975) )).
% 12.29/12.54 cnf(matrix-5687, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11976, _u11977), c_Divides_Odivmod__nat(_u11976, _u11977))) )).
% 12.29/12.54 cnf(matrix-5688, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11978, _u11979), _u11980)) | ( c_Divides_Odivmod__nat(_u11978, _u11979) = _u11980) )).
% 12.29/12.54 cnf(matrix-5689, plain, ( ( c_Divides_Odivmod__nat(_u11981, _u11982) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11981, _u11982))) )).
% 12.29/12.54 cnf(matrix-5690, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11983, _u11984), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11985), _u11986))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11983, _u11984) = _u11986) )).
% 12.29/12.54 cnf(matrix-5691, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11987, _u11988), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11989), _u11990))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11987), _u11988) = _u11989) )).
% 12.29/12.54 cnf(matrix-5692, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11991, _u11992), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11991), _u11992)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11991, _u11992)))) )).
% 12.29/12.54 cnf(matrix-5693, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11993, _u11994), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11995), _u11996))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11997, _u11994), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11998), _u11999))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11994)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11993), _u11997), _u11994), 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), _u11995), _u11998)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11996), _u11999)), _u11994))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11996), _u11999), _u11994)))) )).
% 12.29/12.54 cnf(matrix-5694, 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), _u12000), _u12001))) | ( c_Divides_OposDivAlg(_u12000, _u12001) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12000), _u12001)) )).
% 12.29/12.54 cnf(matrix-5695, 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), _u12000), _u12001))) | ( c_Divides_OposDivAlg(_u12000, _u12001) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12001), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.54 cnf(matrix-5696, 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), _u12000), _u12001))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12000), _u12001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12001), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u12000, _u12001) = hAPP(c_Divides_Oadjust(_u12001), c_Divides_OposDivAlg(_u12000, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u12001)))) )).
% 12.29/12.54 cnf(matrix-5697, 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), _u12002), _u12003))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12002), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12003))) )).
% 12.29/12.54 cnf(matrix-5698, 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), _u12002), _u12003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = 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))) | ( _u12002 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5699, 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), _u12002), _u12003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = 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))) | ( _u12003 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-5700, 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), _u12002), _u12003))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12003), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u12002 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u12003 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u12002, _u12003) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u12002), _u12003)), 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), _u12002))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12003)))) )).
% 12.29/12.54 cnf(matrix-5701, 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), _u12006), _u12007))) | hBOOL(hAPP(hAPP(_u12008, _u12006), _u12007)) | 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), skolem298(_u12008, _u12007, _u12006)), skolem299(_u12008, _u12007, _u12006)))) )).
% 12.29/12.54 cnf(matrix-5702, 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), _u12006), _u12007))) | hBOOL(hAPP(hAPP(_u12008, _u12006), _u12007)) | 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), skolem298(_u12008, _u12007, _u12006)), skolem299(_u12008, _u12007, _u12006)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem299(_u12008, _u12007, _u12006)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u12008, skolem298(_u12008, _u12007, _u12006)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem299(_u12008, _u12007, _u12006)))) )).
% 12.29/12.54 cnf(matrix-5703, 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), _u12006), _u12007))) | hBOOL(hAPP(hAPP(_u12008, _u12006), _u12007)) | ~hBOOL(hAPP(hAPP(_u12008, skolem298(_u12008, _u12007, _u12006)), skolem299(_u12008, _u12007, _u12006))) )).
% 12.29/12.54 cnf(matrix-5704, 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), _u12011), _u12012))) | hBOOL(hAPP(hAPP(_u12013, _u12011), _u12012)) | 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), skolem300(_u12013, _u12012, _u12011)), skolem301(_u12013, _u12012, _u12011)))) )).
% 12.29/12.54 cnf(matrix-5705, 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), _u12011), _u12012))) | hBOOL(hAPP(hAPP(_u12013, _u12011), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem300(_u12013, _u12012, _u12011)), skolem301(_u12013, _u12012, _u12011))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem301(_u12013, _u12012, _u12011)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u12013, skolem300(_u12013, _u12012, _u12011)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem301(_u12013, _u12012, _u12011)))) )).
% 12.29/12.54 cnf(matrix-5706, 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), _u12011), _u12012))) | hBOOL(hAPP(hAPP(_u12013, _u12011), _u12012)) | ~hBOOL(hAPP(hAPP(_u12013, skolem300(_u12013, _u12012, _u12011)), skolem301(_u12013, _u12012, _u12011))) )).
% 12.29/12.54 cnf(matrix-5707, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12014, tc_fun(_u12014, tc_HOL_Obool))), _u12015), _u12016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12014, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u12014, _u12016)), c_Wellfounded_Oaccp(_u12014, _u12015))) )).
% 12.29/12.54 cnf(matrix-5708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u12017)), 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), _u12017)) = 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), _u12017)))))) )).
% 12.29/12.54 cnf(matrix-5709, plain, ( ( _u12021 = _u12022) | ( hAPP(c_Product__Type_Osnd(_u12018, _u12019), hAPP(hAPP(c_Product__Type_OPair(_u12018, _u12019), _u12020), _u12021)) != _u12022) )).
% 12.29/12.54 cnf(matrix-5710, plain, ( ( hAPP(c_Product__Type_Osnd(_u12023, _u12024), hAPP(hAPP(c_Product__Type_OPair(_u12023, _u12024), _u12025), _u12026)) = _u12026) )).
% 12.29/12.54 cnf(matrix-5711, plain, ( ( hAPP(c_Product__Type_Osnd(_u12027, _u12028), _u12029) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12027, _u12028, _u12028), hAPP(c_COMBK(tc_fun(_u12028, _u12028), _u12027), c_COMBI(_u12028))), _u12029)) )).
% 12.29/12.54 cnf(matrix-5712, plain, ( ( hAPP(c_Product__Type_Osnd(_u12030, _u12031), hAPP(c_Product__Type_Oapsnd(_u12032, _u12031, _u12030, _u12033), _u12034)) = hAPP(_u12033, hAPP(c_Product__Type_Osnd(_u12030, _u12032), _u12034))) )).
% 12.29/12.54 cnf(matrix-5713, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12041, _u12043, _u12045, _u12047), _u12049) != hAPP(c_Product__Type_Oapsnd(_u12041, _u12043, _u12045, _u12051), _u12049)) | ( hAPP(_u12047, hAPP(c_Product__Type_Osnd(_u12045, _u12041), _u12049)) = hAPP(_u12051, hAPP(c_Product__Type_Osnd(_u12045, _u12041), _u12049))) )).
% 12.29/12.54 cnf(matrix-5714, plain, ( ( hAPP(_u12048, hAPP(c_Product__Type_Osnd(_u12046, _u12042), _u12050)) != hAPP(_u12052, hAPP(c_Product__Type_Osnd(_u12046, _u12042), _u12050))) | ( hAPP(c_Product__Type_Oapsnd(_u12042, _u12044, _u12046, _u12048), _u12050) = hAPP(c_Product__Type_Oapsnd(_u12042, _u12044, _u12046, _u12052), _u12050)) )).
% 12.29/12.54 cnf(matrix-5715, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12053, _u12054) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u12053, _u12054))) )).
% 12.29/12.54 cnf(matrix-5716, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12055, _u12056), _u12057)) | ~hBOOL(hAPP(hAPP(_u12056, _u12058), _u12057)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12055, _u12056), _u12058)) )).
% 12.29/12.54 cnf(matrix-5717, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12064, _u12066), _u12068)) | ~hBOOL(hAPP(hAPP(_u12066, _u12059), _u12068)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12064, _u12066), _u12059)) )).
% 12.29/12.54 cnf(matrix-5718, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12065, _u12067), _u12069)) | hBOOL(hAPP(hAPP(_u12067, skolem302(_u12069, _u12067, _u12065)), _u12069)) )).
% 12.29/12.54 cnf(matrix-5719, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12065, _u12067), _u12069)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12065, _u12067), skolem302(_u12069, _u12067, _u12065))) )).
% 12.29/12.54 cnf(matrix-5720, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12075, _u12077), _u12079)) | ~hBOOL(hAPP(hAPP(_u12077, _u12070), _u12079)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12075, _u12077), _u12070)) )).
% 12.29/12.54 cnf(matrix-5721, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12076, _u12078), _u12080)) | hBOOL(hAPP(hAPP(_u12078, skolem303(_u12080, _u12078, _u12076)), _u12080)) )).
% 12.29/12.54 cnf(matrix-5722, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u12076, _u12078), _u12080)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12076, _u12078), skolem303(_u12080, _u12078, _u12076))) )).
% 12.29/12.54 cnf(matrix-5723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12081), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12082)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12081, _u12082) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u12081, _u12082))) )).
% 12.29/12.54 cnf(matrix-5724, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12084)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12083, _u12084) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u12083, _u12084))) )).
% 12.29/12.54 cnf(matrix-5725, 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), _u12085))) | ( 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), _u12085)) = 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), _u12085)))) )).
% 12.29/12.54 cnf(matrix-5726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12087), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12086, _u12087) = 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), _u12086), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12087))))) )).
% 12.29/12.54 cnf(matrix-5727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12088), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12089), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u12088, _u12089) = 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), _u12088), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12089))))) )).
% 12.29/12.54 cnf(matrix-5728, 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), _u12090), _u12091))) | ( _u12091 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12090, _u12091) = _u12090) )).
% 12.29/12.54 cnf(matrix-5729, 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), _u12090), _u12091))) | ( _u12091 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u12090, _u12091) = c_Nitpick_Onat__gcd(_u12091, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12090, _u12091))) )).
% 12.29/12.54 cnf(matrix-5730, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u12092)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u12092)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5731, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12103, _u12099)), hAPP(_u12103, _u12101))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12097, _u12097)), hAPP(hAPP(c_Product__Type_OPair(_u12097, _u12097), _u12099), _u12101)), hAPP(c_Wellfounded_Omeasure(_u12097), _u12103))) )).
% 12.29/12.54 cnf(matrix-5732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12104, _u12100)), hAPP(_u12104, _u12102))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12098, _u12098)), hAPP(hAPP(c_Product__Type_OPair(_u12098, _u12098), _u12100), _u12102)), hAPP(c_Wellfounded_Omeasure(_u12098), _u12104))) )).
% 12.29/12.54 cnf(matrix-5733, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u12105, _u12106) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u12105, _u12106))) )).
% 12.29/12.54 cnf(matrix-5734, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5735, plain, ( ~c_Relation_Oirrefl(_u12111, _u12113) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12111, _u12111)), hAPP(hAPP(c_Product__Type_OPair(_u12111, _u12111), _u12107), _u12107)), _u12113)) )).
% 12.29/12.54 cnf(matrix-5736, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12112, _u12112)), hAPP(hAPP(c_Product__Type_OPair(_u12112, _u12112), skolem304(_u12114, _u12112)), skolem304(_u12114, _u12112))), _u12114)) | c_Relation_Oirrefl(_u12112, _u12114) )).
% 12.29/12.54 cnf(matrix-5737, 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), _u12117), _u12118))) | hBOOL(hAPP(hAPP(_u12119, _u12117), _u12118)) | 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), skolem305(_u12119, _u12118, _u12117)), skolem306(_u12119, _u12118, _u12117)))) )).
% 12.29/12.54 cnf(matrix-5738, 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), _u12117), _u12118))) | hBOOL(hAPP(hAPP(_u12119, _u12117), _u12118)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem306(_u12119, _u12118, _u12117)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u12119, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem305(_u12119, _u12118, _u12117))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem306(_u12119, _u12118, _u12117)))) )).
% 12.29/12.54 cnf(matrix-5739, 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), _u12117), _u12118))) | hBOOL(hAPP(hAPP(_u12119, _u12117), _u12118)) | ~hBOOL(hAPP(hAPP(_u12119, skolem305(_u12119, _u12118, _u12117)), skolem306(_u12119, _u12118, _u12117))) )).
% 12.29/12.54 cnf(matrix-5740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u12120)), 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), _u12120)) = 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), _u12120)))))) )).
% 12.29/12.54 cnf(matrix-5741, plain, ( ( _u12125 != _u12127) | ( hAPP(c_Product__Type_Ofst(_u12129, _u12131), _u12125) = hAPP(c_Product__Type_Ofst(_u12129, _u12131), _u12127)) )).
% 12.29/12.54 cnf(matrix-5742, plain, ( ( _u12125 != _u12127) | ( hAPP(c_Product__Type_Osnd(_u12129, _u12131), _u12125) = hAPP(c_Product__Type_Osnd(_u12129, _u12131), _u12127)) )).
% 12.29/12.54 cnf(matrix-5743, plain, ( ( hAPP(c_Product__Type_Ofst(_u12130, _u12132), _u12126) != hAPP(c_Product__Type_Ofst(_u12130, _u12132), _u12128)) | ( hAPP(c_Product__Type_Osnd(_u12130, _u12132), _u12126) != hAPP(c_Product__Type_Osnd(_u12130, _u12132), _u12128)) | ( _u12126 = _u12128) )).
% 12.29/12.54 cnf(matrix-5744, plain, ( ( hAPP(c_Product__Type_Ofst(_u12133, _u12134), _u12135) != hAPP(c_Product__Type_Ofst(_u12133, _u12134), _u12136)) | ( hAPP(c_Product__Type_Osnd(_u12133, _u12134), _u12135) != hAPP(c_Product__Type_Osnd(_u12133, _u12134), _u12136)) | ( _u12135 = _u12136) )).
% 12.29/12.54 cnf(matrix-5745, plain, ( ( _u12139 = _u12141) | ( hAPP(c_Product__Type_Ofst(_u12137, _u12138), hAPP(hAPP(c_Product__Type_OPair(_u12137, _u12138), _u12139), _u12140)) != _u12141) )).
% 12.29/12.54 cnf(matrix-5746, plain, ( ( hAPP(c_Product__Type_Ofst(_u12142, _u12143), hAPP(hAPP(c_Product__Type_OPair(_u12142, _u12143), _u12144), _u12145)) = _u12144) )).
% 12.29/12.54 cnf(matrix-5747, plain, ( ( hAPP(c_Product__Type_Ofst(_u12146, _u12147), _u12148) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12146, _u12147, _u12146), c_COMBK(_u12146, _u12147)), _u12148)) )).
% 12.29/12.54 cnf(matrix-5748, plain, ( ( hAPP(c_Product__Type_Ofst(_u12149, _u12150), hAPP(c_Product__Type_Oapsnd(_u12151, _u12150, _u12149, _u12152), _u12153)) = hAPP(c_Product__Type_Ofst(_u12149, _u12151), _u12153)) )).
% 12.29/12.54 cnf(matrix-5749, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12155), hAPP(c_Product__Type_Ofst(_u12154, _u12155), _u12156)), hAPP(c_Product__Type_Osnd(_u12154, _u12155), _u12156)) = _u12156) )).
% 12.29/12.54 cnf(matrix-5750, plain, ( ( _u12157 = hAPP(hAPP(c_Product__Type_OPair(_u12158, _u12159), hAPP(c_Product__Type_Ofst(_u12158, _u12159), _u12157)), hAPP(c_Product__Type_Osnd(_u12158, _u12159), _u12157))) )).
% 12.29/12.54 cnf(matrix-5751, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12160, _u12161, _u12162), _u12163), _u12164) = hAPP(hAPP(_u12163, hAPP(c_Product__Type_Ofst(_u12160, _u12161), _u12164)), hAPP(c_Product__Type_Osnd(_u12160, _u12161), _u12164))) )).
% 12.29/12.54 cnf(matrix-5752, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12165), _u12166) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u12165, _u12166))) )).
% 12.29/12.54 cnf(matrix-5753, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12167, _u12168, _u12169), _u12170), _u12171) = hAPP(hAPP(_u12170, hAPP(c_Product__Type_Ofst(_u12167, _u12168), _u12171)), hAPP(c_Product__Type_Osnd(_u12167, _u12168), _u12171))) )).
% 12.29/12.54 cnf(matrix-5754, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u12172, _u12173), _u12173, _u12174), hAPP(hAPP(c_COMBB(_u12175, tc_fun(_u12173, _u12174), tc_prod(_u12172, _u12173)), _u12176), hAPP(hAPP(c_COMBB(_u12172, _u12175, tc_prod(_u12172, _u12173)), _u12177), c_Product__Type_Ofst(_u12172, _u12173)))), c_Product__Type_Osnd(_u12172, _u12173)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12172, _u12173, _u12174), hAPP(hAPP(c_COMBB(_u12175, tc_fun(_u12173, _u12174), _u12172), _u12176), _u12177))) )).
% 12.29/12.54 cnf(matrix-5755, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12178, _u12179, _u12180), _u12181), _u12182) = hAPP(hAPP(_u12181, hAPP(c_Product__Type_Ofst(_u12178, _u12179), _u12182)), hAPP(c_Product__Type_Osnd(_u12178, _u12179), _u12182))) )).
% 12.29/12.54 cnf(matrix-5756, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12183, _u12184, _u12185), hAPP(c_Fun_Ocomp(_u12186, tc_fun(_u12184, _u12185), _u12183, _u12187), _u12188)), _u12189) = hAPP(hAPP(_u12187, hAPP(_u12188, hAPP(c_Product__Type_Ofst(_u12183, _u12184), _u12189))), hAPP(c_Product__Type_Osnd(_u12183, _u12184), _u12189))) )).
% 12.29/12.54 cnf(matrix-5757, plain, ( ( c_HOL_OThe(tc_prod(_u12190, _u12191), hAPP(c_Product__Type_Oprod_Oprod__case(_u12190, _u12191, tc_HOL_Obool), _u12192)) = c_HOL_OThe(tc_prod(_u12190, _u12191), hAPP(hAPP(c_COMBS(tc_prod(_u12190, _u12191), _u12191, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12190, tc_fun(_u12191, tc_HOL_Obool), tc_prod(_u12190, _u12191)), _u12192), c_Product__Type_Ofst(_u12190, _u12191))), c_Product__Type_Osnd(_u12190, _u12191)))) )).
% 12.29/12.54 cnf(matrix-5758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12193), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12194)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12193), _u12194) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u12193, _u12194))) )).
% 12.29/12.54 cnf(matrix-5759, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12196)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12195), _u12196) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u12195, _u12196))) )).
% 12.29/12.54 cnf(matrix-5760, 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), _u12197))) | ( 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), _u12197)) = 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), _u12197)))) )).
% 12.29/12.54 cnf(matrix-5761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u12198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12199), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12198), _u12199) = 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), _u12198), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12199))))) )).
% 12.29/12.54 cnf(matrix-5762, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u12200), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12201), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u12200), _u12201) = 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), _u12200), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12201))))) )).
% 12.29/12.54 cnf(matrix-5763, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u12202, _u12203, _u12204, _u12205, _u12206) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u12204, hAPP(c_Product__Type_Ofst(_u12202, _u12203), _u12206))), hAPP(_u12205, hAPP(c_Product__Type_Osnd(_u12202, _u12203), _u12206)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5764, plain, ( ~hBOOL(hAPP(hAPP(_u12207, _u12208), _u12209)) | hBOOL(hAPP(hAPP(_u12207, hAPP(c_Product__Type_Osnd(_u12210, _u12211), hAPP(hAPP(c_Product__Type_OPair(_u12210, _u12211), _u12209), _u12208))), hAPP(c_Product__Type_Ofst(_u12210, _u12211), hAPP(hAPP(c_Product__Type_OPair(_u12210, _u12211), _u12209), _u12208)))) )).
% 12.29/12.54 cnf(matrix-5765, plain, ( ~hBOOL(hAPP(_u12212, _u12213)) | ~hBOOL(hAPP(_u12214, _u12215)) | hBOOL(hAPP(_u12212, hAPP(c_Product__Type_Ofst(_u12216, _u12217), hAPP(hAPP(c_Product__Type_OPair(_u12216, _u12217), _u12213), _u12215)))) )).
% 12.29/12.54 cnf(matrix-5766, plain, ( ~hBOOL(hAPP(_u12212, _u12213)) | ~hBOOL(hAPP(_u12214, _u12215)) | hBOOL(hAPP(_u12214, hAPP(c_Product__Type_Osnd(_u12216, _u12217), hAPP(hAPP(c_Product__Type_OPair(_u12216, _u12217), _u12213), _u12215)))) )).
% 12.29/12.54 cnf(matrix-5767, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u12218), _u12219) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u12218, _u12219))) )).
% 12.29/12.54 cnf(matrix-5768, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12223 = 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), _u12227)), _u12225)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227))) )).
% 12.29/12.54 cnf(matrix-5769, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12227) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5770, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | 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), _u12227))) )).
% 12.29/12.54 cnf(matrix-5771, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227)), _u12225)) )).
% 12.29/12.54 cnf(matrix-5772, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12225), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227))) )).
% 12.29/12.54 cnf(matrix-5773, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12223, _u12225), _u12227)) | ( _u12225 = 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)), _u12225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12227)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5774, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( _u12226 = 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)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5775, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( _u12226 = 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12226)) )).
% 12.29/12.54 cnf(matrix-5776, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( _u12226 = 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5777, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u12226 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5778, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != 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)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5779, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12226)) )).
% 12.29/12.54 cnf(matrix-5780, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u12224, _u12226), _u12228)) | ( _u12224 != 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), _u12228)), _u12226)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u12228) != 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), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), _u12226)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12226), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u12228)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.54 cnf(matrix-5781, plain, ( ( hAPP(c_Int_Onat, _u12229) = 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, _u12229)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 12.29/12.54 cnf(matrix-5782, 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), _u12232), _u12233))) | hBOOL(hAPP(hAPP(_u12234, _u12232), _u12233)) | 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), skolem307(_u12234, _u12233, _u12232)), skolem308(_u12234, _u12233, _u12232)))) )).
% 12.29/12.54 cnf(matrix-5783, 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), _u12232), _u12233))) | hBOOL(hAPP(hAPP(_u12234, _u12232), _u12233)) | ( skolem308(_u12234, _u12233, _u12232) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u12234, skolem308(_u12234, _u12233, _u12232)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem307(_u12234, _u12233, _u12232), skolem308(_u12234, _u12233, _u12232)))) )).
% 12.29/12.54 cnf(matrix-5784, 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), _u12232), _u12233))) | hBOOL(hAPP(hAPP(_u12234, _u12232), _u12233)) | ~hBOOL(hAPP(hAPP(_u12234, skolem307(_u12234, _u12233, _u12232)), skolem308(_u12234, _u12233, _u12232))) )).
% 12.29/12.54 cnf(matrix-5785, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12235, _u12236), _u12237), _u12238) = hAPP(c_Set_OCollect(tc_prod(_u12236, _u12236)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12236, _u12236, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12236, tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_fun(_u12236, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12236, tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_fun(_u12236, tc_HOL_Obool)), _u12236), c_COMBC(_u12236, tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12236, tc_prod(_u12235, _u12235)), tc_fun(_u12236, tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool)), _u12236), hAPP(c_COMBB(tc_prod(_u12235, _u12235), tc_fun(tc_fun(tc_prod(_u12235, _u12235), tc_HOL_Obool), tc_HOL_Obool), _u12236), c_member(tc_prod(_u12235, _u12235)))), hAPP(hAPP(c_COMBC(_u12236, tc_fun(_u12236, _u12235), tc_fun(_u12236, tc_prod(_u12235, _u12235))), hAPP(hAPP(c_COMBB(tc_fun(_u12235, tc_prod(_u12235, _u12235)), tc_fun(tc_fun(_u12236, _u12235), tc_fun(_u12236, tc_prod(_u12235, _u12235))), _u12236), c_COMBB(_u12235, tc_prod(_u12235, _u12235), _u12236)), hAPP(hAPP(c_COMBB(_u12235, tc_fun(_u12235, tc_prod(_u12235, _u12235)), _u12236), c_Product__Type_OPair(_u12235, _u12235)), _u12238))), _u12238)))), _u12237)))) )).
% 12.29/12.54 cnf(matrix-5786, plain, ( ( hAPP(c_Int_ORep__Integ, _u12241) != hAPP(c_Int_ORep__Integ, _u12243)) | ( _u12241 = _u12243) )).
% 12.29/12.54 cnf(matrix-5787, plain, ( ( _u12242 != _u12244) | ( hAPP(c_Int_ORep__Integ, _u12242) = hAPP(c_Int_ORep__Integ, _u12244)) )).
% 12.29/12.54 cnf(matrix-5788, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12257, _u12257)), hAPP(hAPP(c_Product__Type_OPair(_u12257, _u12257), hAPP(_u12261, _u12253)), hAPP(_u12261, _u12255))), _u12259)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12251, _u12251)), hAPP(hAPP(c_Product__Type_OPair(_u12251, _u12251), _u12253), _u12255)), hAPP(hAPP(c_Relation_Oinv__image(_u12257, _u12251), _u12259), _u12261))) )).
% 12.29/12.54 cnf(matrix-5789, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12258, _u12258)), hAPP(hAPP(c_Product__Type_OPair(_u12258, _u12258), hAPP(_u12262, _u12254)), hAPP(_u12262, _u12256))), _u12260)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12252, _u12252)), hAPP(hAPP(c_Product__Type_OPair(_u12252, _u12252), _u12254), _u12256)), hAPP(hAPP(c_Relation_Oinv__image(_u12258, _u12252), _u12260), _u12262))) )).
% 12.29/12.54 cnf(matrix-5790, plain, ( ( c_FunDef_Orp__inv__image(_u12263, _u12264) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), c_COMBS(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)), tc_fun(tc_fun(_u12264, _u12263), tc_fun(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), tc_fun(tc_prod(_u12263, _u12263), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool))), tc_fun(_u12264, _u12263)), c_Product__Type_OPair(tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool), tc_fun(tc_prod(_u12264, _u12264), tc_HOL_Obool)))), c_Relation_Oinv__image(_u12263, _u12264))))), c_Relation_Oinv__image(_u12263, _u12264)))) )).
% 12.29/12.54 cnf(matrix-5791, plain, ( ~c_Equiv__Relations_Oequiv(_u12265, _u12266, _u12267) | ~hBOOL(hAPP(hAPP(c_member(_u12265), _u12268), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12265, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12265, _u12265, _u12267), hAPP(hAPP(c_Set_Oinsert(_u12265), _u12269), c_Orderings_Obot__class_Obot(tc_fun(_u12265, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12265, _u12265, _u12267), hAPP(hAPP(c_Set_Oinsert(_u12265), _u12270), c_Orderings_Obot__class_Obot(tc_fun(_u12265, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12265, _u12265)), hAPP(hAPP(c_Product__Type_OPair(_u12265, _u12265), _u12269), _u12270)), _u12267)) )).
% 12.29/12.54 cnf(matrix-5792, plain, ( ~c_Equiv__Relations_Oequiv(_u12271, _u12272, _u12273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12271, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12271, _u12271, _u12273), hAPP(hAPP(c_Set_Oinsert(_u12271), _u12274), c_Orderings_Obot__class_Obot(tc_fun(_u12271, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12271, _u12271, _u12273), hAPP(hAPP(c_Set_Oinsert(_u12271), _u12275), c_Orderings_Obot__class_Obot(tc_fun(_u12271, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u12271), _u12274), _u12272)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12271, _u12271)), hAPP(hAPP(c_Product__Type_OPair(_u12271, _u12271), _u12275), _u12274)), _u12273)) )).
% 12.29/12.54 cnf(matrix-5793, plain, ( ~c_Equiv__Relations_Oequiv(_u12276, _u12277, _u12278) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12276, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12276), _u12277), _u12278)) = _u12277) )).
% 12.29/12.54 cnf(matrix-5794, plain, ( ~c_Equiv__Relations_Oequiv(_u12279, _u12280, _u12281) | ~hBOOL(hAPP(hAPP(c_member(_u12279), _u12282), _u12280)) | hBOOL(hAPP(hAPP(c_member(_u12279), _u12282), hAPP(c_Relation_OImage(_u12279, _u12279, _u12281), hAPP(hAPP(c_Set_Oinsert(_u12279), _u12282), c_Orderings_Obot__class_Obot(tc_fun(_u12279, tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5795, plain, ( ~c_Equiv__Relations_Oequiv(_u12283, _u12284, _u12285) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12283, tc_HOL_Obool)), _u12286), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12283), _u12284), _u12285))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12283, tc_HOL_Obool)), _u12287), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12283), _u12284), _u12285))) | ( _u12286 = _u12287) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12283, tc_HOL_Obool)), _u12286), _u12287) = c_Orderings_Obot__class_Obot(tc_fun(_u12283, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5796, plain, ( ~c_Equiv__Relations_Oequiv(_u12288, _u12289, _u12290) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12288, _u12288)), hAPP(hAPP(c_Product__Type_OPair(_u12288, _u12288), _u12291), _u12292)), _u12290)) | ( hAPP(c_Relation_OImage(_u12288, _u12288, _u12290), hAPP(hAPP(c_Set_Oinsert(_u12288), _u12291), c_Orderings_Obot__class_Obot(tc_fun(_u12288, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12288, _u12288, _u12290), hAPP(hAPP(c_Set_Oinsert(_u12288), _u12292), c_Orderings_Obot__class_Obot(tc_fun(_u12288, tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5797, plain, ( ~c_Equiv__Relations_Oequiv(_u12293, _u12294, _u12295) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12296), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12297), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12298), _u12296)) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12299), _u12297)) | ( _u12296 != _u12297) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12293, _u12293)), hAPP(hAPP(c_Product__Type_OPair(_u12293, _u12293), _u12298), _u12299)), _u12295)) )).
% 12.29/12.54 cnf(matrix-5798, plain, ( ~c_Equiv__Relations_Oequiv(_u12293, _u12294, _u12295) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12296), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12293, tc_HOL_Obool)), _u12297), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12293), _u12294), _u12295))) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12298), _u12296)) | ~hBOOL(hAPP(hAPP(c_member(_u12293), _u12299), _u12297)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12293, _u12293)), hAPP(hAPP(c_Product__Type_OPair(_u12293, _u12293), _u12298), _u12299)), _u12295)) | ( _u12296 = _u12297) )).
% 12.29/12.54 cnf(matrix-5799, plain, ( ~c_Equiv__Relations_Oequiv(_u12300, _u12301, _u12302) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12300, tc_HOL_Obool)), _u12303), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12300), _u12301), _u12302))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12300, tc_HOL_Obool)), _u12304), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12300), _u12301), _u12302))) | ~hBOOL(hAPP(hAPP(c_member(_u12300), _u12305), _u12303)) | ~hBOOL(hAPP(hAPP(c_member(_u12300), _u12306), _u12304)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12300, _u12300)), hAPP(hAPP(c_Product__Type_OPair(_u12300, _u12300), _u12305), _u12306)), _u12302)) | ( _u12303 = _u12304) )).
% 12.29/12.54 cnf(matrix-5800, plain, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) | ( hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12310), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12311), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5801, plain, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) | hBOOL(hAPP(hAPP(c_member(_u12307), _u12310), _u12308)) )).
% 12.29/12.54 cnf(matrix-5802, plain, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) | hBOOL(hAPP(hAPP(c_member(_u12307), _u12311), _u12308)) )).
% 12.29/12.54 cnf(matrix-5803, plain, ( ~c_Equiv__Relations_Oequiv(_u12307, _u12308, _u12309) | ( hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12310), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12307, _u12307, _u12309), hAPP(hAPP(c_Set_Oinsert(_u12307), _u12311), c_Orderings_Obot__class_Obot(tc_fun(_u12307, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12310), _u12308)) | ~hBOOL(hAPP(hAPP(c_member(_u12307), _u12311), _u12308)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12307, _u12307)), hAPP(hAPP(c_Product__Type_OPair(_u12307, _u12307), _u12310), _u12311)), _u12309)) )).
% 12.29/12.54 cnf(matrix-5804, plain, ( ( hAPP(c_Relation_OImage(_u12312, _u12312, _u12313), hAPP(hAPP(c_Set_Oinsert(_u12312), _u12314), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12312, _u12312, _u12313), hAPP(hAPP(c_Set_Oinsert(_u12312), _u12315), c_Orderings_Obot__class_Obot(tc_fun(_u12312, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u12312, _u12316, _u12313) | ~hBOOL(hAPP(hAPP(c_member(_u12312), _u12315), _u12316)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12312, _u12312)), hAPP(hAPP(c_Product__Type_OPair(_u12312, _u12312), _u12314), _u12315)), _u12313)) )).
% 12.29/12.54 cnf(matrix-5805, plain, ( ~c_Equiv__Relations_Oequiv(_u12317, _u12318, _u12319) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12320), _u12318)) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12321), _u12318)) | ( hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12320), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12321), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12317, _u12317)), hAPP(hAPP(c_Product__Type_OPair(_u12317, _u12317), _u12320), _u12321)), _u12319)) )).
% 12.29/12.54 cnf(matrix-5806, plain, ( ~c_Equiv__Relations_Oequiv(_u12317, _u12318, _u12319) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12320), _u12318)) | ~hBOOL(hAPP(hAPP(c_member(_u12317), _u12321), _u12318)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12317, _u12317)), hAPP(hAPP(c_Product__Type_OPair(_u12317, _u12317), _u12320), _u12321)), _u12319)) | ( hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12320), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u12317, _u12317, _u12319), hAPP(hAPP(c_Set_Oinsert(_u12317), _u12321), c_Orderings_Obot__class_Obot(tc_fun(_u12317, tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5807, plain, ( ~c_Equiv__Relations_Oequiv(_u12322, _u12323, _u12324) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12322, _u12322)), hAPP(hAPP(c_Product__Type_OPair(_u12322, _u12322), _u12325), _u12326)), _u12324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12322, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12322, _u12322, _u12324), hAPP(hAPP(c_Set_Oinsert(_u12322), _u12325), c_Orderings_Obot__class_Obot(tc_fun(_u12322, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u12322, _u12322, _u12324), hAPP(hAPP(c_Set_Oinsert(_u12322), _u12326), c_Orderings_Obot__class_Obot(tc_fun(_u12322, tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5808, plain, ( ~c_Equiv__Relations_Oequiv(_u12327, _u12328, _u12329) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12330), _u12328)) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12331), _u12328)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12330), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12331), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12327, _u12327)), hAPP(hAPP(c_Product__Type_OPair(_u12327, _u12327), _u12330), _u12331)), _u12329)) )).
% 12.29/12.54 cnf(matrix-5809, plain, ( ~c_Equiv__Relations_Oequiv(_u12327, _u12328, _u12329) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12330), _u12328)) | ~hBOOL(hAPP(hAPP(c_member(_u12327), _u12331), _u12328)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12327, _u12327)), hAPP(hAPP(c_Product__Type_OPair(_u12327, _u12327), _u12330), _u12331)), _u12329)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12330), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12327), hAPP(hAPP(c_Set_Oinsert(_u12327), _u12331), c_Orderings_Obot__class_Obot(tc_fun(_u12327, tc_HOL_Obool)))), _u12329)) )).
% 12.29/12.54 cnf(matrix-5810, plain, ( ~c_Equiv__Relations_Oequiv(_u12332, _u12333, _u12334) | ~c_Equiv__Relations_Ocongruent(_u12332, tc_fun(_u12335, tc_HOL_Obool), _u12334, _u12336) | ~hBOOL(hAPP(hAPP(c_member(_u12332), _u12337), _u12333)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12332, tc_fun(_u12335, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12332, _u12332, _u12334), hAPP(hAPP(c_Set_Oinsert(_u12332), _u12337), c_Orderings_Obot__class_Obot(tc_fun(_u12332, tc_HOL_Obool))))), _u12336) = hAPP(_u12336, _u12337)) )).
% 12.29/12.54 cnf(matrix-5811, plain, ( ~c_Equiv__Relations_Oequiv(_u12338, _u12339, _u12340) | ~c_Equiv__Relations_Oequiv(_u12341, _u12342, _u12343) | ~c_Equiv__Relations_Ocongruent2(_u12338, _u12341, tc_fun(_u12344, tc_HOL_Obool), _u12340, _u12343, _u12345) | ~hBOOL(hAPP(hAPP(c_member(_u12338), _u12346), _u12339)) | ~hBOOL(hAPP(hAPP(c_member(_u12341), _u12347), _u12342)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12338, tc_fun(_u12344, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12338, _u12338, _u12340), hAPP(hAPP(c_Set_Oinsert(_u12338), _u12346), c_Orderings_Obot__class_Obot(tc_fun(_u12338, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u12341, tc_fun(_u12344, tc_HOL_Obool)), tc_fun(_u12344, tc_HOL_Obool), _u12338), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12341, tc_fun(_u12344, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12341, _u12341, _u12343), hAPP(hAPP(c_Set_Oinsert(_u12341), _u12347), c_Orderings_Obot__class_Obot(tc_fun(_u12341, tc_HOL_Obool)))))), _u12345)) = hAPP(hAPP(_u12345, _u12346), _u12347)) )).
% 12.29/12.54 cnf(matrix-5812, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool)), _u12353), _u12355)), c_Wellfounded_Ofinite__psubset(_u12351))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12351, tc_HOL_Obool)), _u12353), _u12355)) )).
% 12.29/12.54 cnf(matrix-5813, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12351, tc_HOL_Obool), tc_fun(_u12351, tc_HOL_Obool)), _u12353), _u12355)), c_Wellfounded_Ofinite__psubset(_u12351))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12351), _u12355)) )).
% 12.29/12.54 cnf(matrix-5814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u12352, tc_HOL_Obool)), _u12354), _u12356)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12352), _u12356)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12352, tc_HOL_Obool), tc_fun(_u12352, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12352, tc_HOL_Obool), tc_fun(_u12352, tc_HOL_Obool)), _u12354), _u12356)), c_Wellfounded_Ofinite__psubset(_u12352))) )).
% 12.29/12.54 cnf(matrix-5815, plain, ( ~c_Equiv__Relations_Oequiv(_u12357, _u12358, _u12359) | ~c_Equiv__Relations_Ocongruent2(_u12357, _u12360, _u12361, _u12359, _u12362, _u12363) | ~hBOOL(hAPP(hAPP(c_member(_u12357), _u12364), _u12358)) | c_Equiv__Relations_Ocongruent(_u12360, _u12361, _u12362, hAPP(_u12363, _u12364)) )).
% 12.29/12.54 cnf(matrix-5816, plain, ( ~c_Equiv__Relations_Ocongruent2(_u12365, _u12366, _u12367, _u12368, _u12369, _u12370) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12365, _u12365)), hAPP(hAPP(c_Product__Type_OPair(_u12365, _u12365), _u12371), _u12372)), _u12368)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12366)), hAPP(hAPP(c_Product__Type_OPair(_u12366, _u12366), _u12373), _u12374)), _u12369)) | ( hAPP(hAPP(_u12370, _u12371), _u12373) = hAPP(hAPP(_u12370, _u12372), _u12374)) )).
% 12.29/12.54 cnf(matrix-5817, plain, ( ~c_Equiv__Relations_Ocongruent(_u12375, _u12376, _u12377, _u12378) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12375, _u12375)), hAPP(hAPP(c_Product__Type_OPair(_u12375, _u12375), _u12379), _u12380)), _u12377)) | ( hAPP(_u12378, _u12379) = hAPP(_u12378, _u12380)) )).
% 12.29/12.54 cnf(matrix-5818, plain, ( ~c_Equiv__Relations_Oequiv(_u12381, _u12382, _u12383) | ~c_Equiv__Relations_Oequiv(_u12384, _u12385, _u12386) | ~c_Equiv__Relations_Ocongruent2(_u12381, _u12384, tc_fun(_u12387, tc_HOL_Obool), _u12383, _u12386, _u12388) | ~hBOOL(hAPP(hAPP(c_member(_u12384), _u12389), _u12385)) | c_Equiv__Relations_Ocongruent(_u12381, tc_fun(_u12387, tc_HOL_Obool), _u12383, hAPP(hAPP(c_COMBB(tc_fun(_u12384, tc_fun(_u12387, tc_HOL_Obool)), tc_fun(_u12387, tc_HOL_Obool), _u12381), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12384, tc_fun(_u12387, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12384, _u12384, _u12386), hAPP(hAPP(c_Set_Oinsert(_u12384), _u12389), c_Orderings_Obot__class_Obot(tc_fun(_u12384, tc_HOL_Obool)))))), _u12388)) )).
% 12.29/12.54 cnf(matrix-5819, plain, ( ( c_Wellfounded_Ofinite__psubset(_u12390) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12390, tc_HOL_Obool), tc_fun(_u12390, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12390, tc_HOL_Obool), tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12390, tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12390, tc_HOL_Obool)), c_COMBS(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12390, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12390, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12390, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12390, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12390))))) )).
% 12.29/12.54 cnf(matrix-5820, plain, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | hBOOL(hAPP(hAPP(c_member(_u12393), skolem309(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)), _u12394)) )).
% 12.29/12.54 cnf(matrix-5821, plain, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | hBOOL(hAPP(hAPP(c_member(_u12393), skolem310(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)), _u12394)) )).
% 12.29/12.54 cnf(matrix-5822, plain, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | ( hAPP(_u12397, skolem309(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)) = hAPP(_u12397, skolem310(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393))) )).
% 12.29/12.54 cnf(matrix-5823, plain, ( ~c_Equiv__Relations_Oequiv(_u12393, _u12394, _u12395) | ~c_Equiv__Relations_Ocongruent(_u12393, tc_fun(_u12396, tc_HOL_Obool), _u12395, _u12397) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12398), _u12397) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12393, tc_fun(_u12396, tc_HOL_Obool)), _u12399), _u12397)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12398), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12393, tc_HOL_Obool)), _u12399), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12393), _u12394), _u12395))) | ( _u12398 = _u12399) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12393, _u12393)), hAPP(hAPP(c_Product__Type_OPair(_u12393, _u12393), skolem309(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393)), skolem310(_u12399, _u12398, _u12397, _u12396, _u12395, _u12394, _u12393))), _u12395)) )).
% 12.29/12.54 cnf(matrix-5824, plain, ( ~c_Equiv__Relations_Oequiv(_u12402, _u12403, _u12404) | ~c_Equiv__Relations_Oequiv(_u12405, _u12406, _u12407) | ~c_Equiv__Relations_Ocongruent2(_u12402, _u12405, tc_fun(_u12408, tc_HOL_Obool), _u12404, _u12407, _u12409) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12402, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12402), _u12403), _u12404))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12405, tc_HOL_Obool)), _u12411), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12405), _u12406), _u12407))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12402, tc_fun(_u12408, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_COMBB(tc_fun(_u12405, tc_fun(_u12408, tc_HOL_Obool)), tc_fun(_u12408, tc_HOL_Obool), _u12402), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12405, tc_fun(_u12408, tc_HOL_Obool)), _u12411)), _u12409))), _u12412)) | hBOOL(hAPP(hAPP(c_member(_u12402), skolem311(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402)), _u12403)) )).
% 12.29/12.54 cnf(matrix-5825, plain, ( ~c_Equiv__Relations_Oequiv(_u12402, _u12403, _u12404) | ~c_Equiv__Relations_Oequiv(_u12405, _u12406, _u12407) | ~c_Equiv__Relations_Ocongruent2(_u12402, _u12405, tc_fun(_u12408, tc_HOL_Obool), _u12404, _u12407, _u12409) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12402, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12402), _u12403), _u12404))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12405, tc_HOL_Obool)), _u12411), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12405), _u12406), _u12407))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12402, tc_fun(_u12408, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_COMBB(tc_fun(_u12405, tc_fun(_u12408, tc_HOL_Obool)), tc_fun(_u12408, tc_HOL_Obool), _u12402), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12405, tc_fun(_u12408, tc_HOL_Obool)), _u12411)), _u12409))), _u12412)) | hBOOL(hAPP(hAPP(c_member(_u12405), skolem312(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402)), _u12406)) )).
% 12.29/12.54 cnf(matrix-5826, plain, ( ~c_Equiv__Relations_Oequiv(_u12402, _u12403, _u12404) | ~c_Equiv__Relations_Oequiv(_u12405, _u12406, _u12407) | ~c_Equiv__Relations_Ocongruent2(_u12402, _u12405, tc_fun(_u12408, tc_HOL_Obool), _u12404, _u12407, _u12409) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12402, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12402), _u12403), _u12404))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12405, tc_HOL_Obool)), _u12411), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12405), _u12406), _u12407))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12402, tc_fun(_u12408, tc_HOL_Obool)), _u12410), hAPP(hAPP(c_COMBB(tc_fun(_u12405, tc_fun(_u12408, tc_HOL_Obool)), tc_fun(_u12408, tc_HOL_Obool), _u12402), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12405, tc_fun(_u12408, tc_HOL_Obool)), _u12411)), _u12409))), _u12412)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12408, tc_HOL_Obool)), hAPP(hAPP(_u12409, skolem311(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402)), skolem312(_u12412, _u12411, _u12410, _u12409, _u12408, _u12407, _u12406, _u12405, _u12404, _u12403, _u12402))), _u12412)) )).
% 12.29/12.54 cnf(matrix-5827, plain, ( ~c_Equiv__Relations_Oequiv(_u12414, _u12415, _u12416) | ~c_Equiv__Relations_Ocongruent(_u12414, tc_fun(_u12417, tc_HOL_Obool), _u12416, _u12418) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12414, tc_HOL_Obool)), _u12419), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12414), _u12415), _u12416))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12417, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12414, tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)), _u12420)) | hBOOL(hAPP(hAPP(c_member(_u12414), skolem313(_u12420, _u12419, _u12418, _u12417, _u12416, _u12415, _u12414)), _u12415)) )).
% 12.29/12.54 cnf(matrix-5828, plain, ( ~c_Equiv__Relations_Oequiv(_u12414, _u12415, _u12416) | ~c_Equiv__Relations_Ocongruent(_u12414, tc_fun(_u12417, tc_HOL_Obool), _u12416, _u12418) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12414, tc_HOL_Obool)), _u12419), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12414), _u12415), _u12416))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u12417, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12414, tc_fun(_u12417, tc_HOL_Obool)), _u12419), _u12418)), _u12420)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12417, tc_HOL_Obool)), hAPP(_u12418, skolem313(_u12420, _u12419, _u12418, _u12417, _u12416, _u12415, _u12414))), _u12420)) )).
% 12.29/12.54 cnf(matrix-5829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u12421, _u12422)), hAPP(_u12421, _u12423))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12424, _u12424)), hAPP(hAPP(c_Product__Type_OPair(_u12424, _u12424), _u12422), _u12423)), _u12425)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12424, _u12424)), hAPP(hAPP(c_Product__Type_OPair(_u12424, _u12424), _u12422), _u12423)), c_Wellfounded_Omlex__prod(_u12424, _u12421, _u12425))) )).
% 12.29/12.54 cnf(matrix-5830, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u12426)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u12426)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12427, _u12428)), hAPP(_u12427, _u12429))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12430, _u12430)), hAPP(hAPP(c_Product__Type_OPair(_u12430, _u12430), _u12428), _u12429)), c_Wellfounded_Omlex__prod(_u12430, _u12427, _u12431))) )).
% 12.29/12.54 cnf(matrix-5832, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u12434) != c_Code__Numeral_OSuc__code__numeral(_u12436)) | ( _u12434 = _u12436) )).
% 12.29/12.54 cnf(matrix-5833, plain, ( ( _u12435 != _u12437) | ( c_Code__Numeral_OSuc__code__numeral(_u12435) = c_Code__Numeral_OSuc__code__numeral(_u12437)) )).
% 12.29/12.54 cnf(matrix-5834, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u12438)) )).
% 12.29/12.54 cnf(matrix-5835, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u12439) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.54 cnf(matrix-5836, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u12440)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u12440) )).
% 12.29/12.54 cnf(matrix-5837, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u12441)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u12441)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5838, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u12442)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12442)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5839, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u12443, _u12444, _u12445, _u12446, hAPP(hAPP(c_Product__Type_OPair(_u12443, _u12444), _u12447), _u12448)) = hAPP(hAPP(_u12446, _u12447), _u12448)) )).
% 12.29/12.54 cnf(matrix-5840, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u12449) = _u12449) )).
% 12.29/12.54 cnf(matrix-5841, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5842, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.54 cnf(matrix-5843, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12452, _u12453)), hAPP(hAPP(c_Product__Type_OPair(_u12452, _u12453), _u12454), _u12455)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456) | hBOOL(hAPP(hAPP(_u12457, _u12454), _u12455)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12452, _u12453)), hAPP(hAPP(c_Product__Type_OPair(_u12452, _u12453), skolem314(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452)), skolem315(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452))), hAPP(_u12456, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456)), hAPP(c_Set_OCollect(tc_prod(_u12452, _u12453)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12452, _u12453, tc_HOL_Obool), _u12457)))))) )).
% 12.29/12.54 cnf(matrix-5844, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12452, _u12453)), hAPP(hAPP(c_Product__Type_OPair(_u12452, _u12453), _u12454), _u12455)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), tc_fun(tc_prod(_u12452, _u12453), tc_HOL_Obool), _u12456) | hBOOL(hAPP(hAPP(_u12457, _u12454), _u12455)) | ~hBOOL(hAPP(hAPP(_u12457, skolem314(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452)), skolem315(_u12457, _u12456, _u12455, _u12454, _u12453, _u12452))) )).
% 12.29/12.54 cnf(matrix-5845, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12470), _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12474), _u12476))), c_Wellfounded_Olex__prod(_u12466, _u12468, _u12478, _u12480))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12466, _u12466)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12466), _u12470), _u12474)), _u12478)) | ( _u12470 = _u12474) )).
% 12.29/12.54 cnf(matrix-5846, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12466, _u12468), tc_prod(_u12466, _u12468)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12470), _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12468), _u12474), _u12476))), c_Wellfounded_Olex__prod(_u12466, _u12468, _u12478, _u12480))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12466, _u12466)), hAPP(hAPP(c_Product__Type_OPair(_u12466, _u12466), _u12470), _u12474)), _u12478)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12468, _u12468)), hAPP(hAPP(c_Product__Type_OPair(_u12468, _u12468), _u12472), _u12476)), _u12480)) )).
% 12.29/12.54 cnf(matrix-5847, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12471), _u12473)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12475), _u12477))), c_Wellfounded_Olex__prod(_u12467, _u12469, _u12479, _u12481))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12467, _u12467)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12467), _u12471), _u12475)), _u12479)) )).
% 12.29/12.54 cnf(matrix-5848, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12467, _u12469), tc_prod(_u12467, _u12469)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12471), _u12473)), hAPP(hAPP(c_Product__Type_OPair(_u12467, _u12469), _u12475), _u12477))), c_Wellfounded_Olex__prod(_u12467, _u12469, _u12479, _u12481))) | ( _u12471 != _u12475) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12469, _u12469)), hAPP(hAPP(c_Product__Type_OPair(_u12469, _u12469), _u12473), _u12477)), _u12481)) )).
% 12.29/12.54 cnf(matrix-5849, plain, ( ~c_Equiv__Relations_Oequiv(_u12484, c_Orderings_Otop__class_Otop(tc_fun(_u12484, tc_HOL_Obool)), _u12486) | c_Equiv__Relations_Oequivp(_u12484, hAPP(hAPP(c_COMBC(_u12484, tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_fun(_u12484, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12484, tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_fun(_u12484, tc_HOL_Obool)), _u12484), c_COMBC(_u12484, tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12484, tc_prod(_u12484, _u12484)), tc_fun(_u12484, tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool)), _u12484), hAPP(c_COMBB(tc_prod(_u12484, _u12484), tc_fun(tc_fun(tc_prod(_u12484, _u12484), tc_HOL_Obool), tc_HOL_Obool), _u12484), c_member(tc_prod(_u12484, _u12484)))), c_Product__Type_OPair(_u12484, _u12484)))), _u12486)) )).
% 12.29/12.54 cnf(matrix-5850, plain, ( ~c_Equiv__Relations_Oequivp(_u12485, hAPP(hAPP(c_COMBC(_u12485, tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_fun(_u12485, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12485, tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_fun(_u12485, tc_HOL_Obool)), _u12485), c_COMBC(_u12485, tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12485, tc_prod(_u12485, _u12485)), tc_fun(_u12485, tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool)), _u12485), hAPP(c_COMBB(tc_prod(_u12485, _u12485), tc_fun(tc_fun(tc_prod(_u12485, _u12485), tc_HOL_Obool), tc_HOL_Obool), _u12485), c_member(tc_prod(_u12485, _u12485)))), c_Product__Type_OPair(_u12485, _u12485)))), _u12487)) | c_Equiv__Relations_Oequiv(_u12485, c_Orderings_Otop__class_Otop(tc_fun(_u12485, tc_HOL_Obool)), _u12487) )).
% 12.29/12.54 cnf(matrix-5851, plain, ( c_Equiv__Relations_Oequivp(_u12488, c_fequal) )).
% 12.29/12.54 cnf(matrix-5852, plain, ( ~c_Equiv__Relations_Oequivp(_u12503, _u12505) | ~hBOOL(hAPP(hAPP(_u12505, _u12497), _u12495)) | ( hAPP(_u12505, _u12497) = hAPP(_u12505, _u12495)) )).
% 12.29/12.54 cnf(matrix-5853, plain, ( ~c_Equiv__Relations_Oequivp(_u12503, _u12505) | ( hAPP(_u12505, _u12498) != hAPP(_u12505, _u12496)) | hBOOL(hAPP(hAPP(_u12505, _u12498), _u12496)) )).
% 12.29/12.54 cnf(matrix-5854, plain, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | hBOOL(hAPP(hAPP(_u12506, skolem316(_u12506)), skolem317(_u12506))) | ( hAPP(_u12506, skolem318(_u12506)) = hAPP(_u12506, skolem319(_u12506))) )).
% 12.29/12.54 cnf(matrix-5855, plain, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | hBOOL(hAPP(hAPP(_u12506, skolem316(_u12506)), skolem317(_u12506))) | ~hBOOL(hAPP(hAPP(_u12506, skolem318(_u12506)), skolem319(_u12506))) )).
% 12.29/12.54 cnf(matrix-5856, plain, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | ( hAPP(_u12506, skolem316(_u12506)) != hAPP(_u12506, skolem317(_u12506))) | ( hAPP(_u12506, skolem318(_u12506)) = hAPP(_u12506, skolem319(_u12506))) )).
% 12.29/12.54 cnf(matrix-5857, plain, ( c_Equiv__Relations_Oequivp(_u12504, _u12506) | ( hAPP(_u12506, skolem316(_u12506)) != hAPP(_u12506, skolem317(_u12506))) | ~hBOOL(hAPP(hAPP(_u12506, skolem318(_u12506)), skolem319(_u12506))) )).
% 12.29/12.54 cnf(matrix-5858, plain, ( hBOOL(hAPP(hAPP(_u12508, _u12509), _u12509)) | ~c_Equiv__Relations_Oequivp(_u12507, _u12508) )).
% 12.29/12.54 cnf(matrix-5859, plain, ( ~hBOOL(hAPP(hAPP(_u12511, _u12512), _u12513)) | hBOOL(hAPP(hAPP(_u12511, _u12513), _u12512)) | ~c_Equiv__Relations_Oequivp(_u12510, _u12511) )).
% 12.29/12.54 cnf(matrix-5860, plain, ( ~hBOOL(hAPP(hAPP(_u12515, _u12516), _u12517)) | ~hBOOL(hAPP(hAPP(_u12515, _u12517), _u12518)) | hBOOL(hAPP(hAPP(_u12515, _u12516), _u12518)) | ~c_Equiv__Relations_Oequivp(_u12514, _u12515) )).
% 12.29/12.54 cnf(matrix-5861, plain, ( ~hBOOL(hAPP(_u12519, _u12520)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12521, _u12521)), hAPP(hAPP(c_Product__Type_OPair(_u12521, _u12521), _u12522), _u12523)), hAPP(_u12524, _u12520))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u12525, _u12521), tc_prod(_u12525, _u12521))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u12525, _u12521), tc_prod(_u12525, _u12521)), hAPP(hAPP(c_Product__Type_OPair(_u12525, _u12521), _u12520), _u12522)), hAPP(hAPP(c_Product__Type_OPair(_u12525, _u12521), _u12520), _u12523))), c_Recdef_Osame__fst(_u12525, _u12521, _u12519, _u12524))) )).
% 12.29/12.54 cnf(matrix-5862, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12526, _u12527, _u12528, _u12529), hAPP(c_Product__Type_Oapsnd(_u12530, _u12528, _u12526, _u12531), _u12532)) = hAPP(hAPP(c_Product__Type_OPair(_u12527, _u12528), hAPP(_u12529, hAPP(c_Product__Type_Ofst(_u12526, _u12530), _u12532))), hAPP(_u12531, hAPP(c_Product__Type_Osnd(_u12526, _u12530), _u12532)))) )).
% 12.29/12.54 cnf(matrix-5863, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12533, _u12534, _u12535, _u12536), hAPP(c_Product__Type_Oapfst(_u12537, _u12535, _u12533, _u12538), _u12539)) = hAPP(hAPP(c_Product__Type_OPair(_u12535, _u12534), hAPP(_u12538, hAPP(c_Product__Type_Ofst(_u12537, _u12533), _u12539))), hAPP(_u12536, hAPP(c_Product__Type_Osnd(_u12537, _u12533), _u12539)))) )).
% 12.29/12.54 cnf(matrix-5864, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12540, _u12541, _u12542, _u12543), hAPP(hAPP(c_Product__Type_OPair(_u12540, _u12542), _u12544), _u12545)) = hAPP(hAPP(c_Product__Type_OPair(_u12541, _u12542), hAPP(_u12543, _u12544)), _u12545)) )).
% 12.29/12.54 cnf(matrix-5865, plain, ( ( hAPP(c_Product__Type_Ofst(_u12546, _u12547), hAPP(c_Product__Type_Oapfst(_u12548, _u12546, _u12547, _u12549), _u12550)) = hAPP(_u12549, hAPP(c_Product__Type_Ofst(_u12548, _u12547), _u12550))) )).
% 12.29/12.54 cnf(matrix-5866, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12557, _u12559, _u12561, _u12563), _u12565) != hAPP(c_Product__Type_Oapfst(_u12557, _u12559, _u12561, _u12567), _u12565)) | ( hAPP(_u12563, hAPP(c_Product__Type_Ofst(_u12557, _u12561), _u12565)) = hAPP(_u12567, hAPP(c_Product__Type_Ofst(_u12557, _u12561), _u12565))) )).
% 12.29/12.54 cnf(matrix-5867, plain, ( ( hAPP(_u12564, hAPP(c_Product__Type_Ofst(_u12558, _u12562), _u12566)) != hAPP(_u12568, hAPP(c_Product__Type_Ofst(_u12558, _u12562), _u12566))) | ( hAPP(c_Product__Type_Oapfst(_u12558, _u12560, _u12562, _u12564), _u12566) = hAPP(c_Product__Type_Oapfst(_u12558, _u12560, _u12562, _u12568), _u12566)) )).
% 12.29/12.54 cnf(matrix-5868, plain, ( ( hAPP(c_Product__Type_Osnd(_u12569, _u12570), hAPP(c_Product__Type_Oapfst(_u12571, _u12569, _u12570, _u12572), _u12573)) = hAPP(c_Product__Type_Osnd(_u12571, _u12570), _u12573)) )).
% 12.29/12.54 cnf(matrix-5869, plain, ( ( hAPP(c_Product__Type_Oapfst(_u12574, _u12575, _u12576, _u12577), hAPP(c_Product__Type_Oapfst(_u12578, _u12574, _u12576, _u12579), _u12580)) = hAPP(c_Product__Type_Oapfst(_u12578, _u12575, _u12576, hAPP(c_Fun_Ocomp(_u12574, _u12575, _u12578, _u12577), _u12579)), _u12580)) )).
% 12.29/12.54 cnf(matrix-5870, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u12581, _u12582, _u12583, _u12584), hAPP(c_Product__Type_Oapfst(_u12585, _u12583, _u12581, _u12586), _u12587)) = hAPP(c_Product__Type_Oapfst(_u12585, _u12583, _u12582, _u12586), hAPP(c_Product__Type_Oapsnd(_u12581, _u12582, _u12585, _u12584), _u12587))) )).
% 12.29/12.54 cnf(matrix-5871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12588), _u12589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12590), _u12591)) | 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), _u12588), _u12590)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12589), _u12591))), c_FunDef_Opair__less)) )).
% 12.29/12.54 cnf(matrix-5872, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12593), _u12594), hAPP(c_Relation_OImage(_u12595, _u12593, _u12596), _u12597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12595, _u12593)), hAPP(hAPP(c_Product__Type_OPair(_u12595, _u12593), skolem320(_u12597, _u12596, _u12595, _u12594, _u12593)), _u12594)), _u12596)) )).
% 12.29/12.54 cnf(matrix-5873, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12593), _u12594), hAPP(c_Relation_OImage(_u12595, _u12593, _u12596), _u12597))) | hBOOL(hAPP(hAPP(c_member(_u12595), skolem320(_u12597, _u12596, _u12595, _u12594, _u12593)), _u12597)) )).
% 12.29/12.54 cnf(matrix-5874, plain, ( ( c_Wellfounded_Omlex__prod(_u12598, _u12599, _u12600) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u12598), _u12598), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u12598, c_Wellfounded_Oless__than, _u12600)), hAPP(hAPP(c_COMBS(_u12598, _u12598, tc_prod(tc_Nat_Onat, _u12598)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u12598, tc_prod(tc_Nat_Onat, _u12598)), _u12598), c_Product__Type_OPair(tc_Nat_Onat, _u12598)), _u12599)), c_COMBI(_u12598)))) )).
% 12.29/12.54 cnf(matrix-5875, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 12.29/12.54 cnf(matrix-5876, plain, ( ( c_Wellfounded_Omeasure(_u12601) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u12601), c_Wellfounded_Oless__than)) )).
% 12.29/12.54 cnf(matrix-5877, 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), _u12604), _u12606)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12604), _u12606)) )).
% 12.29/12.54 cnf(matrix-5878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12605), _u12607)) | 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), _u12605), _u12607)), c_Wellfounded_Oless__than)) )).
% 12.29/12.54 cnf(matrix-5879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12608), _u12609)) | 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), _u12608), _u12610)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12609), _u12611))), c_FunDef_Opair__less)) )).
% 12.29/12.54 cnf(matrix-5880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12612), _u12613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u12614), _u12615)) | 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), _u12612), _u12614)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12613), _u12615))), c_FunDef_Opair__leq)) )).
% 12.29/12.54 cnf(matrix-5881, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12616), _u12617)) | ~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)), _u12616), _u12618)), 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)), _u12617), _u12619)), 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)), _u12617), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12618), _u12619))), c_FunDef_Omin__strict)) )).
% 12.29/12.54 cnf(matrix-5882, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12620), _u12621)) | ~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)), _u12622), _u12620)), 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)), _u12623), _u12621)), 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)), _u12622), _u12623)), _u12621)), c_FunDef_Omax__strict)) )).
% 12.29/12.54 cnf(matrix-5883, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12624)) | ( _u12624 = 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))), _u12624)), c_FunDef_Omax__strict)) )).
% 12.29/12.54 cnf(matrix-5884, plain, ( ( _u12625 = 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)), _u12625), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 12.29/12.54 cnf(matrix-5885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u12626), _u12627)) | 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), _u12626), _u12628)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12627), _u12629))), c_FunDef_Opair__leq)) )).
% 12.29/12.54 cnf(matrix-5886, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12630), _u12631)) | ~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)), _u12632), _u12630)), 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)), _u12633), _u12631)), 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)), _u12632), _u12633)), _u12631)), c_FunDef_Omax__weak)) )).
% 12.29/12.54 cnf(matrix-5887, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12634), _u12635)) | ~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)), _u12634), _u12636)), 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)), _u12635), _u12637)), 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)), _u12635), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12636), _u12637))), c_FunDef_Omin__weak)) )).
% 12.29/12.54 cnf(matrix-5888, plain, ( ( hAPP(c_Relation_OField(_u12638), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12638, _u12638)), hAPP(hAPP(c_Product__Type_OPair(_u12638, _u12638), _u12639), _u12640)), _u12641)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12638, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u12638), _u12639), hAPP(hAPP(c_Set_Oinsert(_u12638), _u12640), c_Orderings_Obot__class_Obot(tc_fun(_u12638, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u12638), _u12641))) )).
% 12.29/12.54 cnf(matrix-5889, plain, ( ( hAPP(c_Relation_OField(_u12642), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12642, _u12642), tc_HOL_Obool), _u12643)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12642, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u12642, _u12642), tc_HOL_Obool), tc_fun(_u12642, tc_HOL_Obool), c_Relation_OField(_u12642)), _u12643))) )).
% 12.29/12.54 cnf(matrix-5890, plain, ( ( hAPP(c_Relation_OField(_u12644), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12644, _u12644), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5891, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12645, _u12645), tc_HOL_Obool)), _u12646), _u12647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12645, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12645), _u12646)), hAPP(c_Relation_OField(_u12645), _u12647))) )).
% 12.29/12.54 cnf(matrix-5892, plain, ( ( hAPP(c_Relation_OField(_u12648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12648, _u12648), tc_HOL_Obool)), _u12649), _u12650)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12648, tc_HOL_Obool)), hAPP(c_Relation_OField(_u12648), _u12649)), hAPP(c_Relation_OField(_u12648), _u12650))) )).
% 12.29/12.54 cnf(matrix-5893, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12651, _u12651)), _u12652)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12651), hAPP(c_Relation_OField(_u12651), _u12652))) )).
% 12.29/12.54 cnf(matrix-5894, 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)), _u12653), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 12.29/12.54 cnf(matrix-5895, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u12654)) | 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))), _u12654)), c_FunDef_Omax__weak)) )).
% 12.29/12.54 cnf(matrix-5896, plain, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5897, plain, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5898, plain, ( ( c_Relation_OId__on(_u12655, _u12656) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12655, tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool)), _u12656), hAPP(hAPP(c_COMBC(_u12655, tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool), tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u12655, _u12655), tc_fun(tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool), tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool)), _u12655), c_Set_Oinsert(tc_prod(_u12655, _u12655))), hAPP(hAPP(c_COMBS(_u12655, _u12655, tc_prod(_u12655, _u12655)), c_Product__Type_OPair(_u12655, _u12655)), c_COMBI(_u12655)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12655, _u12655), tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5899, plain, ( ( c_Relation_OId__on(_u12657, _u12658) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12657, _u12657, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12657, tc_HOL_Obool, tc_fun(_u12657, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12657, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u12657, tc_HOL_Obool)), _u12657), c_COMBC(_u12657, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12657, tc_HOL_Obool), tc_fun(_u12657, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12657), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12657), c_fconj)), c_fequal))), _u12658))) )).
% 12.29/12.54 cnf(matrix-5900, plain, ( ( c_Relation_OId__on(_u12659, c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12659, _u12659), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5901, plain, ( ( hAPP(c_Relation_OImage(_u12660, _u12660, c_Relation_OId__on(_u12660, _u12661)), _u12662) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12660, tc_HOL_Obool)), _u12661), _u12662)) )).
% 12.29/12.54 cnf(matrix-5902, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12667, _u12667)), hAPP(hAPP(c_Product__Type_OPair(_u12667, _u12667), _u12669), _u12671)), c_Relation_OId__on(_u12667, _u12673))) | ( _u12669 = _u12671) )).
% 12.29/12.54 cnf(matrix-5903, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12667, _u12667)), hAPP(hAPP(c_Product__Type_OPair(_u12667, _u12667), _u12669), _u12671)), c_Relation_OId__on(_u12667, _u12673))) | hBOOL(hAPP(hAPP(c_member(_u12667), _u12669), _u12673)) )).
% 12.29/12.54 cnf(matrix-5904, plain, ( ( _u12670 != _u12672) | ~hBOOL(hAPP(hAPP(c_member(_u12668), _u12670), _u12674)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12668, _u12668)), hAPP(hAPP(c_Product__Type_OPair(_u12668, _u12668), _u12670), _u12672)), c_Relation_OId__on(_u12668, _u12674))) )).
% 12.29/12.54 cnf(matrix-5905, plain, ( ( _u12675 != _u12676) | ~hBOOL(hAPP(hAPP(c_member(_u12677), _u12675), _u12678)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12677, _u12677)), hAPP(hAPP(c_Product__Type_OPair(_u12677, _u12677), _u12675), _u12676)), c_Relation_OId__on(_u12677, _u12678))) )).
% 12.29/12.54 cnf(matrix-5906, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.29/12.54 cnf(matrix-5907, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12680), _u12681)), c_Wellfounded_Omax__ext(_u12679, _u12682))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12683), _u12684)), c_Wellfounded_Omax__ext(_u12679, _u12682))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12679, tc_HOL_Obool)), _u12680), _u12683)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12679, tc_HOL_Obool)), _u12681), _u12684))), c_Wellfounded_Omax__ext(_u12679, _u12682))) )).
% 12.29/12.54 cnf(matrix-5908, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 12.29/12.54 cnf(matrix-5909, plain, ( ~c_Wellfounded_Omax__extp(_u12689, hAPP(hAPP(c_COMBC(_u12689, tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12689, tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool)), _u12689), c_COMBC(_u12689, tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12689, tc_prod(_u12689, _u12689)), tc_fun(_u12689, tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool)), _u12689), hAPP(c_COMBB(tc_prod(_u12689, _u12689), tc_fun(tc_fun(tc_prod(_u12689, _u12689), tc_HOL_Obool), tc_HOL_Obool), _u12689), c_member(tc_prod(_u12689, _u12689)))), c_Product__Type_OPair(_u12689, _u12689)))), _u12691), _u12693, _u12695) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12689, tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12689, tc_HOL_Obool), tc_fun(_u12689, tc_HOL_Obool)), _u12693), _u12695)), c_Wellfounded_Omax__ext(_u12689, _u12691))) )).
% 12.29/12.54 cnf(matrix-5910, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12690, tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), _u12694), _u12696)), c_Wellfounded_Omax__ext(_u12690, _u12692))) | c_Wellfounded_Omax__extp(_u12690, hAPP(hAPP(c_COMBC(_u12690, tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12690, tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_fun(_u12690, tc_HOL_Obool)), _u12690), c_COMBC(_u12690, tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12690, tc_prod(_u12690, _u12690)), tc_fun(_u12690, tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool)), _u12690), hAPP(c_COMBB(tc_prod(_u12690, _u12690), tc_fun(tc_fun(tc_prod(_u12690, _u12690), tc_HOL_Obool), tc_HOL_Obool), _u12690), c_member(tc_prod(_u12690, _u12690)))), c_Product__Type_OPair(_u12690, _u12690)))), _u12692), _u12694, _u12696) )).
% 12.29/12.54 cnf(matrix-5911, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omin__strict), c_FunDef_Omin__weak)) )).
% 12.29/12.54 cnf(matrix-5912, plain, ( c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool), tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_FunDef_Omax__strict), c_FunDef_Omax__weak)) )).
% 12.29/12.54 cnf(matrix-5913, plain, ( ~c_FunDef_Oreduction__pair(_u12697, _u12698) | c_FunDef_Oreduction__pair(_u12699, hAPP(hAPP(c_FunDef_Orp__inv__image(_u12697, _u12699), _u12698), _u12700)) )).
% 12.29/12.54 cnf(matrix-5914, 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)), _u12703), 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)), _u12705), 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)), _u12703), _u12705)), c_Int_Ointrel)) )).
% 12.29/12.54 cnf(matrix-5915, 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)), _u12704), _u12706)), 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)), _u12704), 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)), _u12706), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-5916, 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), _u12711), _u12713)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12715), _u12717))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12711), _u12717) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12715), _u12713)) )).
% 12.29/12.54 cnf(matrix-5917, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12712), _u12718) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12716), _u12714)) | 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), _u12712), _u12714)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u12716), _u12718))), c_Int_Ointrel)) )).
% 12.29/12.54 cnf(matrix-5918, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12720, _u12720)), _u12721), c_Relation_OId__on(_u12720, _u12722))) | hBOOL(hAPP(hAPP(c_member(_u12720), skolem321(_u12722, _u12721, _u12720)), _u12722)) )).
% 12.29/12.54 cnf(matrix-5919, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12720, _u12720)), _u12721), c_Relation_OId__on(_u12720, _u12722))) | ( _u12721 = hAPP(hAPP(c_Product__Type_OPair(_u12720, _u12720), skolem321(_u12722, _u12721, _u12720)), skolem321(_u12722, _u12721, _u12720))) )).
% 12.29/12.54 cnf(matrix-5920, plain, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 12.29/12.54 cnf(matrix-5921, plain, ( ~class_Rings_Oring__1(_u12723) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u12723), 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), _u12724), _u12725)), 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(_u12723), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12723), _u12724)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u12723), _u12725))) )).
% 12.29/12.54 cnf(matrix-5922, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5923, 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), _u12726), _u12727)), 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), _u12728), _u12729)), 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), _u12726), _u12728)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12727), _u12729))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12726), _u12729)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12727), _u12728)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5924, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u12730)) = _u12730) )).
% 12.29/12.54 cnf(matrix-5925, 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), _u12731), _u12732)), 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), _u12732), _u12731)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5926, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5927, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u12733) = 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), _u12733), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5928, 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), _u12734), _u12735)), 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), _u12736), _u12737)), 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), _u12734), _u12736)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12735), _u12737))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5929, 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), _u12738), _u12739)), 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), _u12738), _u12739)) )).
% 12.29/12.54 cnf(matrix-5930, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u12740) = 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, _u12740)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 12.29/12.54 cnf(matrix-5931, 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), _u12745), _u12747)), 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), _u12749), _u12751)), 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), _u12745), _u12751)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12749), _u12747))) )).
% 12.29/12.54 cnf(matrix-5932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12746), _u12752)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12750), _u12748))) | 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), _u12746), _u12748)), 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), _u12750), _u12752)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.29/12.54 cnf(matrix-5933, 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), _u12757), _u12759)), 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), _u12761), _u12763)), 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), _u12757), _u12763)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12761), _u12759))) )).
% 12.29/12.54 cnf(matrix-5934, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12758), _u12764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u12762), _u12760))) | 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), _u12758), _u12760)), 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), _u12762), _u12764)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 12.29/12.54 cnf(matrix-5935, plain, ( ( _u12767 = 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), skolem322(_u12767)), skolem323(_u12767))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-5936, plain, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 12.29/12.54 cnf(matrix-5937, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12768, _u12769, _u12770, c_Code__Numeral_OSuc__code__numeral(_u12771)) = hAPP(_u12770, _u12771)) )).
% 12.29/12.54 cnf(matrix-5938, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u12772)), c_Int_OInteg)) )).
% 12.29/12.54 cnf(matrix-5939, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u12773, _u12774, _u12775, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u12774) )).
% 12.29/12.54 cnf(matrix-5940, plain, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 12.29/12.54 cnf(matrix-5941, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12779, hAPP(hAPP(c_COMBC(_u12779, tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_fun(_u12779, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12779, tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_fun(_u12779, tc_HOL_Obool)), _u12779), c_COMBC(_u12779, tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12779, tc_prod(_u12779, _u12779)), tc_fun(_u12779, tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool)), _u12779), hAPP(c_COMBB(tc_prod(_u12779, _u12779), tc_fun(tc_fun(tc_prod(_u12779, _u12779), tc_HOL_Obool), tc_HOL_Obool), _u12779), c_member(tc_prod(_u12779, _u12779)))), c_Product__Type_OPair(_u12779, _u12779)))), _u12781)), _u12783)) | hBOOL(hAPP(hAPP(c_member(_u12779), _u12783), c_Wellfounded_Oacc(_u12779, _u12781))) )).
% 12.29/12.54 cnf(matrix-5942, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12780), _u12784), c_Wellfounded_Oacc(_u12780, _u12782))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12780, hAPP(hAPP(c_COMBC(_u12780, tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_fun(_u12780, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12780, tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_fun(_u12780, tc_HOL_Obool)), _u12780), c_COMBC(_u12780, tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12780, tc_prod(_u12780, _u12780)), tc_fun(_u12780, tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool)), _u12780), hAPP(c_COMBB(tc_prod(_u12780, _u12780), tc_fun(tc_fun(tc_prod(_u12780, _u12780), tc_HOL_Obool), tc_HOL_Obool), _u12780), c_member(tc_prod(_u12780, _u12780)))), c_Product__Type_OPair(_u12780, _u12780)))), _u12782)), _u12784)) )).
% 12.29/12.54 cnf(matrix-5943, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12785, _u12786, _u12787), _u12788), _u12789) = hAPP(c_Set_OCollect(tc_prod(_u12785, _u12787)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12785, _u12787, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool)), tc_fun(_u12787, tc_HOL_Obool), _u12785), hAPP(c_COMBB(tc_fun(_u12786, tc_HOL_Obool), tc_HOL_Obool, _u12787), c_HOL_OEx(_u12786))), hAPP(hAPP(c_COMBC(_u12785, tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool)), tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), tc_fun(tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool)), tc_fun(_u12787, tc_fun(_u12786, tc_HOL_Obool))), _u12785), c_COMBB(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool), _u12787)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), _u12785), c_COMBS(_u12786, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_HOL_Obool), tc_fun(_u12786, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12785), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12786), c_fconj)), hAPP(hAPP(c_COMBC(_u12785, tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), _u12785), c_COMBC(_u12786, tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_prod(_u12785, _u12786)), tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool)), _u12785), hAPP(c_COMBB(tc_prod(_u12785, _u12786), tc_fun(tc_fun(tc_prod(_u12785, _u12786), tc_HOL_Obool), tc_HOL_Obool), _u12786), c_member(tc_prod(_u12785, _u12786)))), c_Product__Type_OPair(_u12785, _u12786)))), _u12788))))), hAPP(hAPP(c_COMBC(_u12787, tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_fun(_u12786, tc_HOL_Obool)), _u12787), c_COMBC(_u12786, tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12786, tc_prod(_u12786, _u12787)), tc_fun(_u12786, tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool)), _u12787), hAPP(c_COMBB(tc_prod(_u12786, _u12787), tc_fun(tc_fun(tc_prod(_u12786, _u12787), tc_HOL_Obool), tc_HOL_Obool), _u12786), c_member(tc_prod(_u12786, _u12787)))), hAPP(c_COMBC(_u12786, _u12787, tc_prod(_u12786, _u12787)), c_Product__Type_OPair(_u12786, _u12787))))), _u12789)))))) )).
% 12.29/12.54 cnf(matrix-5944, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), hAPP(hAPP(c_Product__Type_OPair(_u12790, _u12791), _u12792), _u12793)), _u12794)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12791, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12791, _u12795), _u12793), _u12796)), _u12797)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12795)), hAPP(hAPP(c_Product__Type_OPair(_u12790, _u12795), _u12792), _u12796)), hAPP(hAPP(c_Relation_Orel__comp(_u12790, _u12791, _u12795), _u12794), _u12797))) )).
% 12.29/12.54 cnf(matrix-5945, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12798, _u12799, _u12800), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12801, tc_fun(tc_prod(_u12798, _u12799), tc_HOL_Obool)), _u12802), _u12803)), _u12804) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12801, tc_fun(tc_prod(_u12798, _u12800), tc_HOL_Obool)), _u12802), hAPP(hAPP(c_COMBC(_u12801, tc_fun(tc_prod(_u12799, _u12800), tc_HOL_Obool), tc_fun(tc_prod(_u12798, _u12800), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12798, _u12799), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12799, _u12800), tc_HOL_Obool), tc_fun(tc_prod(_u12798, _u12800), tc_HOL_Obool)), _u12801), c_Relation_Orel__comp(_u12798, _u12799, _u12800)), _u12803)), _u12804))) )).
% 12.29/12.54 cnf(matrix-5946, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12805, _u12806, _u12807), _u12808), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12809, tc_fun(tc_prod(_u12806, _u12807), tc_HOL_Obool)), _u12810), _u12811)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12809, tc_fun(tc_prod(_u12805, _u12807), tc_HOL_Obool)), _u12810), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12806, _u12807), tc_HOL_Obool), tc_fun(tc_prod(_u12805, _u12807), tc_HOL_Obool), _u12809), hAPP(c_Relation_Orel__comp(_u12805, _u12806, _u12807), _u12808)), _u12811))) )).
% 12.29/12.54 cnf(matrix-5947, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12813, _u12814), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12813), tc_HOL_Obool))), _u12815) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12814), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5948, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12817, _u12818), _u12819), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12817, _u12818), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12818), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5949, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12820, _u12821, _u12822), _u12823), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12821, _u12822), tc_HOL_Obool)), _u12824), _u12825)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12820, _u12822), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12820, _u12821, _u12822), _u12823), _u12824)), hAPP(hAPP(c_Relation_Orel__comp(_u12820, _u12821, _u12822), _u12823), _u12825))) )).
% 12.29/12.54 cnf(matrix-5950, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12826, _u12827, _u12828), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12826, _u12827), tc_HOL_Obool)), _u12829), _u12830)), _u12831) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12826, _u12828), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12826, _u12827, _u12828), _u12829), _u12831)), hAPP(hAPP(c_Relation_Orel__comp(_u12826, _u12827, _u12828), _u12830), _u12831))) )).
% 12.29/12.54 cnf(matrix-5951, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12832, _u12833, _u12834), hAPP(hAPP(c_Relation_Orel__comp(_u12832, _u12835, _u12833), _u12836), _u12837)), _u12838) = hAPP(hAPP(c_Relation_Orel__comp(_u12832, _u12835, _u12834), _u12836), hAPP(hAPP(c_Relation_Orel__comp(_u12835, _u12833, _u12834), _u12837), _u12838))) )).
% 12.29/12.54 cnf(matrix-5952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12839, _u12840), tc_HOL_Obool)), _u12841), _u12842)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12840, _u12843), tc_HOL_Obool)), _u12844), _u12845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12839, _u12843), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12839, _u12840, _u12843), _u12841), _u12844)), hAPP(hAPP(c_Relation_Orel__comp(_u12839, _u12840, _u12843), _u12842), _u12845))) )).
% 12.29/12.54 cnf(matrix-5953, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12846, _u12846, _u12846), _u12847), _u12848) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12846, _u12846, _u12846), _u12847), _u12849) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12846, _u12846, _u12846), _u12847), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool)), _u12848), _u12849)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12846, _u12846), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5954, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12850, _u12850, _u12850), _u12851), _u12852) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12850, _u12850, _u12850), _u12853), _u12852) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12850, _u12850, _u12850), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool)), _u12851), _u12853)), _u12852) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12850, _u12850), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5955, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12854, _u12854), tc_HOL_Obool)), _u12855), _u12856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12854, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12854, _u12856)), c_Wellfounded_Oacc(_u12854, _u12855))) )).
% 12.29/12.54 cnf(matrix-5956, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12857), _u12858), c_Wellfounded_Oacc(_u12857, _u12859))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12857, _u12857)), hAPP(hAPP(c_Product__Type_OPair(_u12857, _u12857), _u12860), _u12858)), _u12859)) | hBOOL(hAPP(hAPP(c_member(_u12857), _u12860), c_Wellfounded_Oacc(_u12857, _u12859))) )).
% 12.29/12.54 cnf(matrix-5957, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12866), _u12868), c_Wellfounded_Oacc(_u12866, _u12870))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12866, _u12866)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12866), _u12861), _u12868)), _u12870)) | hBOOL(hAPP(hAPP(c_member(_u12866), _u12861), c_Wellfounded_Oacc(_u12866, _u12870))) )).
% 12.29/12.54 cnf(matrix-5958, plain, ( hBOOL(hAPP(hAPP(c_member(_u12867), _u12869), c_Wellfounded_Oacc(_u12867, _u12871))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12867, _u12867)), hAPP(hAPP(c_Product__Type_OPair(_u12867, _u12867), skolem324(_u12871, _u12869, _u12867)), _u12869)), _u12871)) )).
% 12.29/12.54 cnf(matrix-5959, plain, ( hBOOL(hAPP(hAPP(c_member(_u12867), _u12869), c_Wellfounded_Oacc(_u12867, _u12871))) | ~hBOOL(hAPP(hAPP(c_member(_u12867), skolem324(_u12871, _u12869, _u12867)), c_Wellfounded_Oacc(_u12867, _u12871))) )).
% 12.29/12.54 cnf(matrix-5960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12872, _u12872), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12872, _u12872, _u12872), _u12873), _u12874)), _u12873)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12872, _u12873)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12872, _u12874)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12872, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12872, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12872, tc_HOL_Obool), tc_fun(_u12872, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12872, _u12873))) )).
% 12.29/12.54 cnf(matrix-5961, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12875, _u12875), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12875, _u12875, _u12875), _u12876), _u12877)), _u12876)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12875, _u12876)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12875, _u12877)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12875, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12875, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12875, tc_HOL_Obool), tc_fun(_u12875, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12875, _u12876))) )).
% 12.29/12.54 cnf(matrix-5962, plain, ( ~c_Typedef_Otype__definition(_u12878, _u12879, _u12880, _u12881, _u12882) | ( hAPP(c_Set_Oimage(_u12879, _u12878, _u12881), _u12882) = c_Orderings_Otop__class_Otop(tc_fun(_u12878, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5963, plain, ( ~c_Typedef_Otype__definition(_u12883, _u12884, _u12885, _u12886, _u12887) | ( hAPP(c_Set_Oimage(_u12883, _u12884, _u12885), c_Orderings_Otop__class_Otop(tc_fun(_u12883, tc_HOL_Obool))) = _u12887) )).
% 12.29/12.54 cnf(matrix-5964, plain, ( hBOOL(hAPP(hAPP(c_member(_u12889), hAPP(_u12890, _u12893)), _u12892)) | ~c_Typedef_Otype__definition(_u12888, _u12889, _u12890, _u12891, _u12892) )).
% 12.29/12.54 cnf(matrix-5965, plain, ( ( hAPP(_u12897, hAPP(_u12896, _u12899)) = _u12899) | ~c_Typedef_Otype__definition(_u12894, _u12895, _u12896, _u12897, _u12898) )).
% 12.29/12.54 cnf(matrix-5966, plain, ( ~c_Typedef_Otype__definition(_u12900, _u12901, _u12902, _u12903, _u12904) | ( hAPP(_u12902, _u12905) != hAPP(_u12902, _u12906)) | ( _u12905 = _u12906) )).
% 12.29/12.54 cnf(matrix-5967, plain, ( ~c_Typedef_Otype__definition(_u12900, _u12901, _u12902, _u12903, _u12904) | ( _u12905 != _u12906) | ( hAPP(_u12902, _u12905) = hAPP(_u12902, _u12906)) )).
% 12.29/12.54 cnf(matrix-5968, plain, ( ~c_Typedef_Otype__definition(_u12907, _u12908, _u12909, _u12910, _u12911) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12912), _u12911)) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12913), _u12911)) | ( hAPP(_u12910, _u12912) != hAPP(_u12910, _u12913)) | ( _u12912 = _u12913) )).
% 12.29/12.54 cnf(matrix-5969, plain, ( ~c_Typedef_Otype__definition(_u12907, _u12908, _u12909, _u12910, _u12911) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12912), _u12911)) | ~hBOOL(hAPP(hAPP(c_member(_u12908), _u12913), _u12911)) | ( _u12912 != _u12913) | ( hAPP(_u12910, _u12912) = hAPP(_u12910, _u12913)) )).
% 12.29/12.54 cnf(matrix-5970, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12915), _u12919), _u12918)) | ( hAPP(_u12916, hAPP(_u12917, _u12919)) = _u12919) | ~c_Typedef_Otype__definition(_u12914, _u12915, _u12916, _u12917, _u12918) )).
% 12.29/12.54 cnf(matrix-5971, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12927, _u12929, _u12931, hAPP(hAPP(c_COMBC(_u12927, tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_fun(_u12929, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12929, tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_fun(_u12929, tc_HOL_Obool)), _u12927), c_COMBC(_u12929, tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12929, tc_prod(_u12927, _u12929)), tc_fun(_u12929, tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool)), _u12927), hAPP(c_COMBB(tc_prod(_u12927, _u12929), tc_fun(tc_fun(tc_prod(_u12927, _u12929), tc_HOL_Obool), tc_HOL_Obool), _u12929), c_member(tc_prod(_u12927, _u12929)))), c_Product__Type_OPair(_u12927, _u12929)))), _u12933), hAPP(hAPP(c_COMBC(_u12929, tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_fun(_u12931, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12931, tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_fun(_u12931, tc_HOL_Obool)), _u12929), c_COMBC(_u12931, tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12931, tc_prod(_u12929, _u12931)), tc_fun(_u12931, tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool)), _u12929), hAPP(c_COMBB(tc_prod(_u12929, _u12931), tc_fun(tc_fun(tc_prod(_u12929, _u12931), tc_HOL_Obool), tc_HOL_Obool), _u12931), c_member(tc_prod(_u12929, _u12931)))), c_Product__Type_OPair(_u12929, _u12931)))), _u12935)), _u12937), _u12939)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12927, _u12931)), hAPP(hAPP(c_Product__Type_OPair(_u12927, _u12931), _u12937), _u12939)), hAPP(hAPP(c_Relation_Orel__comp(_u12927, _u12929, _u12931), _u12933), _u12935))) )).
% 12.29/12.54 cnf(matrix-5972, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12928, _u12932)), hAPP(hAPP(c_Product__Type_OPair(_u12928, _u12932), _u12938), _u12940)), hAPP(hAPP(c_Relation_Orel__comp(_u12928, _u12930, _u12932), _u12934), _u12936))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12928, _u12930, _u12932, hAPP(hAPP(c_COMBC(_u12928, tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_fun(_u12930, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12930, tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_fun(_u12930, tc_HOL_Obool)), _u12928), c_COMBC(_u12930, tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12930, tc_prod(_u12928, _u12930)), tc_fun(_u12930, tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool)), _u12928), hAPP(c_COMBB(tc_prod(_u12928, _u12930), tc_fun(tc_fun(tc_prod(_u12928, _u12930), tc_HOL_Obool), tc_HOL_Obool), _u12930), c_member(tc_prod(_u12928, _u12930)))), c_Product__Type_OPair(_u12928, _u12930)))), _u12934), hAPP(hAPP(c_COMBC(_u12930, tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_fun(_u12932, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12932, tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_fun(_u12932, tc_HOL_Obool)), _u12930), c_COMBC(_u12932, tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12932, tc_prod(_u12930, _u12932)), tc_fun(_u12932, tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool)), _u12930), hAPP(c_COMBB(tc_prod(_u12930, _u12932), tc_fun(tc_fun(tc_prod(_u12930, _u12932), tc_HOL_Obool), tc_HOL_Obool), _u12932), c_member(tc_prod(_u12930, _u12932)))), c_Product__Type_OPair(_u12930, _u12932)))), _u12936)), _u12938), _u12940)) )).
% 12.29/12.54 cnf(matrix-5973, plain, ( ~c_Wellfounded_Owf(_u12941, _u12942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12941, _u12941), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12941, _u12941, _u12941), _u12942), _u12943)), _u12942)) | c_FunDef_Oreduction__pair(_u12941, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12941, _u12941), tc_HOL_Obool), tc_fun(tc_prod(_u12941, _u12941), tc_HOL_Obool)), _u12942), _u12943)) )).
% 12.29/12.54 cnf(matrix-5974, plain, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12952), _u12956)) )).
% 12.29/12.54 cnf(matrix-5975, plain, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12952), _u12958)) )).
% 12.29/12.54 cnf(matrix-5976, plain, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | ( _u12958 != c_Orderings_Obot__class_Obot(tc_fun(_u12952, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5977, plain, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | ~hBOOL(hAPP(hAPP(c_member(_u12952), _u12945), _u12956)) | hBOOL(hAPP(hAPP(c_member(_u12952), skolem325(_u12958, _u12956, _u12954, _u12952, _u12945)), _u12958)) )).
% 12.29/12.54 cnf(matrix-5978, plain, ( ~c_Wellfounded_Omax__extp(_u12952, _u12954, _u12956, _u12958) | ~hBOOL(hAPP(hAPP(c_member(_u12952), _u12945), _u12956)) | hBOOL(hAPP(hAPP(_u12954, _u12945), skolem325(_u12958, _u12956, _u12954, _u12952, _u12945))) )).
% 12.29/12.54 cnf(matrix-5979, plain, ( c_Wellfounded_Omax__extp(_u12953, _u12955, _u12957, _u12959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12957)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12959)) | ( _u12959 = c_Orderings_Obot__class_Obot(tc_fun(_u12953, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12953), skolem326(_u12959, _u12957, _u12955, _u12953)), _u12957)) )).
% 12.29/12.54 cnf(matrix-5980, plain, ( c_Wellfounded_Omax__extp(_u12953, _u12955, _u12957, _u12959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12957)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12953), _u12959)) | ( _u12959 = c_Orderings_Obot__class_Obot(tc_fun(_u12953, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12953), _u12946), _u12959)) | ~hBOOL(hAPP(hAPP(_u12955, skolem326(_u12959, _u12957, _u12955, _u12953)), _u12946)) )).
% 12.29/12.54 cnf(matrix-5981, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.29/12.54 cnf(matrix-5982, plain, ( ~hBOOL(hAPP(hAPP(_u12960, _u12961), _u12962)) | ~hBOOL(hAPP(hAPP(_u12963, _u12962), _u12964)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12965, _u12966, _u12967, _u12960, _u12963), _u12961), _u12964)) )).
% 12.29/12.54 cnf(matrix-5983, plain, ( c_Wellfounded_Owf(_u12968, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12968, _u12968), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-5984, plain, ( ~c_Wellfounded_Owf(_u12969, _u12970) | c_Wellfounded_Owf(_u12971, hAPP(hAPP(c_Relation_Oinv__image(_u12969, _u12971), _u12970), _u12972)) )).
% 12.29/12.54 cnf(matrix-5985, plain, ( ~c_Wellfounded_Owf(_u12973, _u12974) | ~c_Wellfounded_Owf(_u12975, _u12976) | c_Wellfounded_Owf(tc_prod(_u12973, _u12975), c_Wellfounded_Olex__prod(_u12973, _u12975, _u12974, _u12976)) )).
% 12.29/12.54 cnf(matrix-5986, plain, ( c_Wellfounded_Owf(_u12977, hAPP(c_Wellfounded_Omeasure(_u12977), _u12978)) )).
% 12.29/12.54 cnf(matrix-5987, plain, ( ~c_Wellfounded_Owf(_u12981, _u12983) | c_Wellfounded_Owf(_u12981, hAPP(hAPP(c_Relation_Orel__comp(_u12981, _u12981, _u12981), _u12983), _u12983)) )).
% 12.29/12.54 cnf(matrix-5988, plain, ( ~c_Wellfounded_Owf(_u12982, hAPP(hAPP(c_Relation_Orel__comp(_u12982, _u12982, _u12982), _u12984), _u12984)) | c_Wellfounded_Owf(_u12982, _u12984) )).
% 12.29/12.54 cnf(matrix-5989, plain, ( ~c_Wellfounded_Owf(_u12985, _u12986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12985, _u12985), tc_HOL_Obool)), _u12987), _u12986)) | c_Wellfounded_Owf(_u12985, _u12987) )).
% 12.29/12.54 cnf(matrix-5990, plain, ( ~c_Wellfounded_Owf(_u12988, _u12989) | c_Wellfounded_Owf(tc_fun(_u12988, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12988, _u12989)) )).
% 12.29/12.54 cnf(matrix-5991, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-5992, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12999, _u13001, _u13003, _u13005, _u13007), _u13009), _u13011)) | hBOOL(hAPP(hAPP(_u13005, _u13009), skolem327(_u13011, _u13009, _u13007, _u13005))) )).
% 12.29/12.54 cnf(matrix-5993, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12999, _u13001, _u13003, _u13005, _u13007), _u13009), _u13011)) | hBOOL(hAPP(hAPP(_u13007, skolem327(_u13011, _u13009, _u13007, _u13005)), _u13011)) )).
% 12.29/12.54 cnf(matrix-5994, plain, ( ~hBOOL(hAPP(hAPP(_u13006, _u13010), _u12991)) | ~hBOOL(hAPP(hAPP(_u13008, _u12991), _u13012)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u13000, _u13002, _u13004, _u13006, _u13008), _u13010), _u13012)) )).
% 12.29/12.54 cnf(matrix-5995, plain, ( ~c_Wellfounded_Owf(_u13013, _u13014) | c_Wellfounded_Owf(_u13013, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13013, _u13013), tc_HOL_Obool)), _u13015), _u13014)) )).
% 12.29/12.54 cnf(matrix-5996, plain, ( ~c_Wellfounded_Owf(_u13016, _u13017) | c_Wellfounded_Owf(_u13016, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13016, _u13016), tc_HOL_Obool)), _u13017), _u13018)) )).
% 12.29/12.54 cnf(matrix-5997, plain, ( c_Wellfounded_Owf(tc_fun(_u13019, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13019)) )).
% 12.29/12.54 cnf(matrix-5998, plain, ( ~c_Wellfounded_Owf(_u13020, _u13021) | c_Wellfounded_Owf(_u13020, c_Wellfounded_Omlex__prod(_u13020, _u13022, _u13021)) )).
% 12.29/12.54 cnf(matrix-5999, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 12.29/12.54 cnf(matrix-6000, plain, ( ~c_Wellfounded_Owf(_u13023, _u13024) | c_Wellfounded_Owf(tc_fun(_u13023, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13023, _u13024)) )).
% 12.29/12.54 cnf(matrix-6001, plain, ( ~c_Wellfounded_Owf(_u13025, _u13026) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), hAPP(hAPP(c_Product__Type_OPair(_u13025, _u13025), _u13027), _u13027)), _u13026)) )).
% 12.29/12.54 cnf(matrix-6002, plain, ( ~c_Wellfounded_Owf(_u13028, _u13029) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13028, _u13028)), hAPP(hAPP(c_Product__Type_OPair(_u13028, _u13028), _u13030), _u13031)), _u13029)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13028, _u13028)), hAPP(hAPP(c_Product__Type_OPair(_u13028, _u13028), _u13031), _u13030)), _u13029)) )).
% 12.29/12.54 cnf(matrix-6003, plain, ( ~c_Wellfounded_Owf(_u13032, _u13033) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13032, _u13032)), hAPP(hAPP(c_Product__Type_OPair(_u13032, _u13032), _u13034), _u13035)), _u13033)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13032, _u13032)), hAPP(hAPP(c_Product__Type_OPair(_u13032, _u13032), _u13035), _u13034)), _u13033)) )).
% 12.29/12.54 cnf(matrix-6004, plain, ( ~c_Wellfounded_Owf(_u13036, _u13037) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13036, _u13036)), hAPP(hAPP(c_Product__Type_OPair(_u13036, _u13036), _u13038), _u13038)), _u13037)) )).
% 12.29/12.54 cnf(matrix-6005, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13039)) )).
% 12.29/12.54 cnf(matrix-6006, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13040)) )).
% 12.29/12.54 cnf(matrix-6007, plain, ( ~c_Wellfounded_Owf(_u13045, _u13047) | hBOOL(hAPP(hAPP(c_member(_u13045), _u13041), c_Wellfounded_Oacc(_u13045, _u13047))) )).
% 12.29/12.54 cnf(matrix-6008, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13046), skolem328(_u13048, _u13046)), c_Wellfounded_Oacc(_u13046, _u13048))) | c_Wellfounded_Owf(_u13046, _u13048) )).
% 12.29/12.54 cnf(matrix-6009, plain, ( ~c_Wellfounded_Owf(_u13049, _u13050) | hBOOL(hAPP(hAPP(c_member(_u13049), _u13051), c_Wellfounded_Oacc(_u13049, _u13050))) )).
% 12.29/12.54 cnf(matrix-6010, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13052, _u13052, _u13052), _u13053), _u13053) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13052, _u13052), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13052, _u13053) )).
% 12.29/12.54 cnf(matrix-6011, plain, ( ~c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), _u13059), _u13061)) | c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13059), _u13059)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13061), _u13059))), _u13061)) )).
% 12.29/12.54 cnf(matrix-6012, plain, ( ~c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13060), _u13060)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13062), _u13060))), _u13062)) | c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), _u13060), _u13062)) )).
% 12.29/12.54 cnf(matrix-6013, plain, ( ~c_Wellfounded_Owf(_u13069, _u13071) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13069, _u13069)), hAPP(hAPP(c_Product__Type_OPair(_u13069, _u13069), hAPP(_u13064, hAPP(c_Nat_OSuc, skolem329(_u13071, _u13069, _u13064)))), hAPP(_u13064, skolem329(_u13071, _u13069, _u13064)))), _u13071)) )).
% 12.29/12.54 cnf(matrix-6014, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13070, _u13070)), hAPP(hAPP(c_Product__Type_OPair(_u13070, _u13070), hAPP(skolem330(_u13072, _u13070), hAPP(c_Nat_OSuc, _u13065))), hAPP(skolem330(_u13072, _u13070), _u13065))), _u13072)) | c_Wellfounded_Owf(_u13070, _u13072) )).
% 12.29/12.54 cnf(matrix-6015, plain, ( ~c_Wellfounded_Owf(_u13073, _u13074) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13073, tc_HOL_Obool)), _u13075), hAPP(c_Relation_OImage(_u13073, _u13073, _u13074), _u13075))) | ( _u13075 = c_Orderings_Obot__class_Obot(tc_fun(_u13073, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6016, plain, ( ~c_Wellfounded_Owf(_u13076, _u13077) | ~c_Wellfounded_Owf(_u13076, _u13078) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13076, _u13076), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13076, _u13076, _u13076), _u13077), _u13078)), _u13077)) | c_Wellfounded_Owf(_u13076, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13076, _u13076), tc_HOL_Obool)), _u13077), _u13078)) )).
% 12.29/12.54 cnf(matrix-6017, plain, ( ~class_Orderings_Owellorder(_u13079) | c_Wellfounded_Owf(_u13079, hAPP(c_Set_OCollect(tc_prod(_u13079, _u13079)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13079, _u13079, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13079)))) )).
% 12.29/12.54 cnf(matrix-6018, plain, ( ~c_FunDef_Oreduction__pair(_u13082, _u13084) | c_Wellfounded_Owf(_u13082, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084)) )).
% 12.29/12.54 cnf(matrix-6019, plain, ( ~c_FunDef_Oreduction__pair(_u13082, _u13084) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13082, _u13082, _u13082), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool), tc_fun(tc_prod(_u13082, _u13082), tc_HOL_Obool)), _u13084))) )).
% 12.29/12.54 cnf(matrix-6020, plain, ( ~c_Wellfounded_Owf(_u13083, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13083, _u13083, _u13083), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool), tc_fun(tc_prod(_u13083, _u13083), tc_HOL_Obool)), _u13085))) | c_FunDef_Oreduction__pair(_u13083, _u13085) )).
% 12.29/12.54 cnf(matrix-6021, plain, ( ~c_FunDef_Oreduction__pair(_u13086, _u13087) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13088), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool), tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13087))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13089), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool), tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13087))) | ~c_Wellfounded_Owf(_u13086, _u13089) | c_Wellfounded_Owf(_u13086, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13086, _u13086), tc_HOL_Obool)), _u13088), _u13089)) )).
% 12.29/12.54 cnf(matrix-6022, plain, ( ~c_Wellfounded_Owf(_u13090, _u13091) | c_Wellfounded_Owf(tc_List_Olist(_u13090), c_List_Olenlex(_u13090, _u13091)) )).
% 12.29/12.54 cnf(matrix-6023, plain, ( c_Wellfounded_Owf(_u13096, hAPP(c_Set_OCollect(tc_prod(_u13096, _u13096)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13096, _u13096, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(_u13096, tc_HOL_Obool), _u13096), hAPP(c_COMBS(_u13096, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13096), c_fconj), _u13093))), hAPP(hAPP(c_COMBC(_u13096, tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), _u13096), c_COMBB(_u13096, tc_HOL_Obool, _u13096)), c_fequal)), _u13095))))) | hBOOL(hAPP(_u13093, skolem331(_u13096, _u13095, _u13094, _u13093))) )).
% 12.29/12.54 cnf(matrix-6024, plain, ( c_Wellfounded_Owf(_u13096, hAPP(c_Set_OCollect(tc_prod(_u13096, _u13096)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13096, _u13096, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(_u13096, tc_HOL_Obool), _u13096), hAPP(c_COMBS(_u13096, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13096), c_fconj), _u13093))), hAPP(hAPP(c_COMBC(_u13096, tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13096, tc_HOL_Obool), tc_fun(tc_fun(_u13096, _u13096), tc_fun(_u13096, tc_HOL_Obool)), _u13096), c_COMBB(_u13096, tc_HOL_Obool, _u13096)), c_fequal)), _u13095))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13094, hAPP(_u13095, skolem331(_u13096, _u13095, _u13094, _u13093)))), hAPP(_u13094, skolem331(_u13096, _u13095, _u13094, _u13093)))) )).
% 12.29/12.54 cnf(matrix-6025, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13101)) | ( _u13101 = c_Orderings_Obot__class_Obot(tc_fun(_u13099, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool)), _u13100), _u13101)), c_Wellfounded_Omax__ext(_u13099, _u13102))) | hBOOL(hAPP(hAPP(c_member(_u13099), skolem332(_u13102, _u13101, _u13100, _u13099)), _u13100)) )).
% 12.29/12.54 cnf(matrix-6026, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13100)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13099), _u13101)) | ( _u13101 = c_Orderings_Obot__class_Obot(tc_fun(_u13099, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13099, tc_HOL_Obool), tc_fun(_u13099, tc_HOL_Obool)), _u13100), _u13101)), c_Wellfounded_Omax__ext(_u13099, _u13102))) | ~hBOOL(hAPP(hAPP(c_member(_u13099), _u13097), _u13101)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13099, _u13099)), hAPP(hAPP(c_Product__Type_OPair(_u13099, _u13099), skolem332(_u13102, _u13101, _u13100, _u13099)), _u13097)), _u13102)) )).
% 12.29/12.54 cnf(matrix-6027, plain, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 12.29/12.54 cnf(matrix-6028, plain, ( ~c_Wellfounded_Owf(_u13103, _u13104) | c_Wellfounded_Owf(tc_List_Olist(_u13103), c_List_Olex(_u13103, _u13104)) )).
% 12.29/12.54 cnf(matrix-6029, plain, ( ~c_Wellfounded_Owf(_u13105, _u13106) | c_Wellfounded_Owf(tc_List_Olist(_u13105), hAPP(c_List_Olexn(_u13105, _u13106), _u13107)) )).
% 12.29/12.54 cnf(matrix-6030, plain, ( ( c_List_Olex(_u13108, _u13109) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13108), tc_List_Olist(_u13108)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13108, _u13109))) )).
% 12.29/12.54 cnf(matrix-6031, plain, ( ( hAPP(c_List_Olexn(_u13110, _u13111), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13110), tc_List_Olist(_u13110)), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6032, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 12.29/12.54 cnf(matrix-6033, plain, ( c_Wellfounded_Owf(tc_prod(_u13116, _u13114), c_Recdef_Osame__fst(_u13116, _u13114, _u13113, _u13115)) | hBOOL(hAPP(_u13113, skolem333(_u13116, _u13115, _u13114, _u13113))) )).
% 12.29/12.54 cnf(matrix-6034, plain, ( c_Wellfounded_Owf(tc_prod(_u13116, _u13114), c_Recdef_Osame__fst(_u13116, _u13114, _u13113, _u13115)) | ~c_Wellfounded_Owf(_u13114, hAPP(_u13115, skolem333(_u13116, _u13115, _u13114, _u13113))) )).
% 12.29/12.54 cnf(matrix-6035, plain, ( ( c_Nitpick_Ozero__frac(_u13117) = c_Nitpick_OAbs__Frac(_u13117, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-6036, plain, ( ( hAPP(c_Relation_ORange(_u13118, _u13119), hAPP(c_Set_OCollect(tc_prod(_u13118, _u13119)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13118, _u13119, tc_HOL_Obool), _u13120))) = hAPP(c_Set_OCollect(_u13119), hAPP(hAPP(c_COMBB(tc_fun(_u13118, tc_HOL_Obool), tc_HOL_Obool, _u13119), c_HOL_OEx(_u13118)), hAPP(c_COMBC(_u13118, _u13119, tc_HOL_Obool), _u13120)))) )).
% 12.29/12.54 cnf(matrix-6037, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13121, _u13122)), hAPP(hAPP(c_Product__Type_OPair(_u13121, _u13122), _u13123), _u13124)), _u13125)) | hBOOL(hAPP(hAPP(c_member(_u13122), _u13124), hAPP(c_Relation_ORange(_u13121, _u13122), _u13125))) )).
% 12.29/12.54 cnf(matrix-6038, plain, ( ( hAPP(c_Relation_ORange(_u13126, _u13126), c_Relation_OId__on(_u13126, _u13127)) = _u13127) )).
% 12.29/12.54 cnf(matrix-6039, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13128, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13128, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13129, _u13128), _u13130)), hAPP(c_Relation_ORange(_u13129, _u13128), _u13131))), hAPP(c_Relation_ORange(_u13129, _u13128), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13129, _u13128), tc_HOL_Obool)), _u13130), _u13131)))) )).
% 12.29/12.54 cnf(matrix-6040, plain, ( ( hAPP(c_Relation_ORange(_u13132, _u13133), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13132, _u13133), tc_HOL_Obool), _u13134)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13132, _u13133), tc_HOL_Obool), tc_fun(_u13133, tc_HOL_Obool)), _u13134), c_Relation_ORange(_u13132, _u13133))) )).
% 12.29/12.54 cnf(matrix-6041, plain, ( ( hAPP(c_Relation_ORange(_u13135, _u13136), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13135, _u13136), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13136, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6042, plain, ( ( hAPP(c_Relation_ORange(_u13140, _u13142), _u13144) != c_Orderings_Obot__class_Obot(tc_fun(_u13142, tc_HOL_Obool))) | ( _u13144 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13140, _u13142), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6043, plain, ( ( _u13145 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13141, _u13143), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u13141, _u13143), _u13145) = c_Orderings_Obot__class_Obot(tc_fun(_u13143, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6044, plain, ( ( hAPP(c_Relation_ORange(_u13146, _u13147), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13146, _u13147), tc_HOL_Obool)), _u13148), _u13149)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13147, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13146, _u13147), _u13148)), hAPP(c_Relation_ORange(_u13146, _u13147), _u13149))) )).
% 12.29/12.54 cnf(matrix-6045, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13150, _u13151)), _u13152)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13151), hAPP(c_Relation_ORange(_u13150, _u13151), _u13152))) )).
% 12.29/12.54 cnf(matrix-6046, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13153, _u13154), _u13154, c_Product__Type_Osnd(_u13153, _u13154)), _u13155) = hAPP(c_Relation_ORange(_u13153, _u13154), _u13155)) )).
% 12.29/12.54 cnf(matrix-6047, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13162), _u13164), hAPP(c_Relation_ORange(_u13166, _u13162), _u13168))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13166, _u13162)), hAPP(hAPP(c_Product__Type_OPair(_u13166, _u13162), skolem334(_u13168, _u13166, _u13164, _u13162)), _u13164)), _u13168)) )).
% 12.29/12.54 cnf(matrix-6048, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13167, _u13163)), hAPP(hAPP(c_Product__Type_OPair(_u13167, _u13163), _u13157), _u13165)), _u13169)) | hBOOL(hAPP(hAPP(c_member(_u13163), _u13165), hAPP(c_Relation_ORange(_u13167, _u13163), _u13169))) )).
% 12.29/12.54 cnf(matrix-6049, plain, ( ( hAPP(c_Relation_ORange(_u13170, _u13171), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13170, _u13171)), hAPP(hAPP(c_Product__Type_OPair(_u13170, _u13171), _u13172), _u13173)), _u13174)) = hAPP(hAPP(c_Set_Oinsert(_u13171), _u13173), hAPP(c_Relation_ORange(_u13170, _u13171), _u13174))) )).
% 12.29/12.54 cnf(matrix-6050, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13175, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13176, _u13175), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13176, _u13175), tc_HOL_Obool)), _u13177), _u13178))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13175, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u13176, _u13175), _u13177)), hAPP(c_Relation_ORange(_u13176, _u13175), _u13178)))) )).
% 12.29/12.54 cnf(matrix-6051, plain, ( ( c_Nitpick_Oone__frac(_u13179) = c_Nitpick_OAbs__Frac(_u13179, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-6052, plain, ( ( c_Nitpick_Onumber__of__frac(_u13180, _u13181) = c_Nitpick_OAbs__Frac(_u13180, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u13181), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.54 cnf(matrix-6053, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u13186, _u13188, hAPP(hAPP(c_COMBC(_u13186, tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_fun(_u13188, tc_HOL_Obool)), _u13186), c_COMBC(_u13188, tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13188, tc_prod(_u13186, _u13188)), tc_fun(_u13188, tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool)), _u13186), hAPP(c_COMBB(tc_prod(_u13186, _u13188), tc_fun(tc_fun(tc_prod(_u13186, _u13188), tc_HOL_Obool), tc_HOL_Obool), _u13188), c_member(tc_prod(_u13186, _u13188)))), c_Product__Type_OPair(_u13186, _u13188)))), _u13190)), _u13192)) | hBOOL(hAPP(hAPP(c_member(_u13188), _u13192), hAPP(c_Relation_ORange(_u13186, _u13188), _u13190))) )).
% 12.29/12.54 cnf(matrix-6054, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13189), _u13193), hAPP(c_Relation_ORange(_u13187, _u13189), _u13191))) | hBOOL(hAPP(c_Predicate_ORangeP(_u13187, _u13189, hAPP(hAPP(c_COMBC(_u13187, tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_fun(_u13189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_fun(_u13189, tc_HOL_Obool)), _u13187), c_COMBC(_u13189, tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13189, tc_prod(_u13187, _u13189)), tc_fun(_u13189, tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool)), _u13187), hAPP(c_COMBB(tc_prod(_u13187, _u13189), tc_fun(tc_fun(tc_prod(_u13187, _u13189), tc_HOL_Obool), tc_HOL_Obool), _u13189), c_member(tc_prod(_u13187, _u13189)))), c_Product__Type_OPair(_u13187, _u13189)))), _u13191)), _u13193)) )).
% 12.29/12.54 cnf(matrix-6055, plain, ( ~hBOOL(hAPP(hAPP(_u13194, _u13195), _u13196)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13197, _u13198, _u13194), _u13196)) )).
% 12.29/12.54 cnf(matrix-6056, plain, ( hBOOL(hAPP(hAPP(_u13209, skolem335(_u13211, _u13209)), _u13211)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u13205, _u13207, _u13209), _u13211)) )).
% 12.29/12.54 cnf(matrix-6057, plain, ( ~hBOOL(hAPP(hAPP(_u13210, _u13200), _u13212)) | hBOOL(hAPP(c_Predicate_ORangeP(_u13206, _u13208, _u13210), _u13212)) )).
% 12.29/12.54 cnf(matrix-6058, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u13213), _u13214), _u13215) = c_Nitpick_OAbs__Frac(_u13213, c_Nitpick_Onorm__frac(_u13214, _u13215))) )).
% 12.29/12.54 cnf(matrix-6059, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13217), _u13218), hAPP(c_Relation_ORange(_u13219, _u13217), _u13220))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13219, _u13217)), hAPP(hAPP(c_Product__Type_OPair(_u13219, _u13217), skolem336(_u13220, _u13219, _u13218, _u13217)), _u13218)), _u13220)) )).
% 12.29/12.54 cnf(matrix-6060, plain, ( ~c_Wellfounded_Owf(_u13221, _u13222) | ~c_Wellfounded_Owf(_u13221, _u13223) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13221, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13221, _u13221), _u13222)), hAPP(c_Relation_ORange(_u13221, _u13221), _u13223)) != c_Orderings_Obot__class_Obot(tc_fun(_u13221, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13221, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13221, _u13221), tc_HOL_Obool)), _u13222), _u13223)) )).
% 12.29/12.54 cnf(matrix-6061, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13224, _u13225)), hAPP(hAPP(c_Product__Type_OPair(_u13224, _u13225), _u13226), _u13227)), _u13228)) | hBOOL(hAPP(hAPP(c_member(_u13224), _u13226), hAPP(c_Relation_ODomain(_u13224, _u13225), _u13228))) )).
% 12.29/12.54 cnf(matrix-6062, plain, ( ( hAPP(c_Relation_ODomain(_u13229, _u13229), c_Relation_OId__on(_u13229, _u13230)) = _u13230) )).
% 12.29/12.54 cnf(matrix-6063, plain, ( ( hAPP(c_Relation_ODomain(_u13231, _u13232), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13231, _u13232), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13231, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6064, plain, ( ( hAPP(c_Relation_ODomain(_u13236, _u13238), _u13240) != c_Orderings_Obot__class_Obot(tc_fun(_u13236, tc_HOL_Obool))) | ( _u13240 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13236, _u13238), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6065, plain, ( ( _u13241 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13237, _u13239), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13237, _u13239), _u13241) = c_Orderings_Obot__class_Obot(tc_fun(_u13237, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13242, _u13243), tc_HOL_Obool)), _u13244), _u13245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13242, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13242, _u13243), _u13244)), hAPP(c_Relation_ODomain(_u13242, _u13243), _u13245))) )).
% 12.29/12.54 cnf(matrix-6067, plain, ( ( hAPP(c_Relation_ODomain(_u13246, _u13247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13246, _u13247), tc_HOL_Obool)), _u13248), _u13249)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13246, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13246, _u13247), _u13248)), hAPP(c_Relation_ODomain(_u13246, _u13247), _u13249))) )).
% 12.29/12.54 cnf(matrix-6068, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13250, _u13251)), _u13252)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13250), hAPP(c_Relation_ODomain(_u13250, _u13251), _u13252))) )).
% 12.29/12.54 cnf(matrix-6069, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13253, _u13254), _u13253, c_Product__Type_Ofst(_u13253, _u13254)), _u13255) = hAPP(c_Relation_ODomain(_u13253, _u13254), _u13255)) )).
% 12.29/12.54 cnf(matrix-6070, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13262), _u13264), hAPP(c_Relation_ODomain(_u13262, _u13266), _u13268))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13262, _u13266)), hAPP(hAPP(c_Product__Type_OPair(_u13262, _u13266), _u13264), skolem337(_u13268, _u13266, _u13264, _u13262))), _u13268)) )).
% 12.29/12.54 cnf(matrix-6071, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13263, _u13267)), hAPP(hAPP(c_Product__Type_OPair(_u13263, _u13267), _u13265), _u13257)), _u13269)) | hBOOL(hAPP(hAPP(c_member(_u13263), _u13265), hAPP(c_Relation_ODomain(_u13263, _u13267), _u13269))) )).
% 12.29/12.54 cnf(matrix-6072, plain, ( ( hAPP(c_Relation_ODomain(_u13270, _u13271), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13270, _u13271)), hAPP(hAPP(c_Product__Type_OPair(_u13270, _u13271), _u13272), _u13273)), _u13274)) = hAPP(hAPP(c_Set_Oinsert(_u13270), _u13272), hAPP(c_Relation_ODomain(_u13270, _u13271), _u13274))) )).
% 12.29/12.54 cnf(matrix-6073, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13275, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13275, _u13276), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13275, _u13276), tc_HOL_Obool)), _u13277), _u13278))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13275, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13275, _u13276), _u13277)), hAPP(c_Relation_ODomain(_u13275, _u13276), _u13278)))) )).
% 12.29/12.54 cnf(matrix-6074, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13279, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13279, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13279, _u13280), _u13281)), hAPP(c_Relation_ODomain(_u13279, _u13280), _u13282))), hAPP(c_Relation_ODomain(_u13279, _u13280), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13279, _u13280), tc_HOL_Obool)), _u13281), _u13282)))) )).
% 12.29/12.54 cnf(matrix-6075, plain, ( ( hAPP(c_Relation_OField(_u13283), _u13284) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13283, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13283, _u13283), _u13284)), hAPP(c_Relation_ORange(_u13283, _u13283), _u13284))) )).
% 12.29/12.54 cnf(matrix-6076, plain, ( ( hAPP(c_Relation_ODomain(_u13285, _u13286), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13285, _u13286), tc_HOL_Obool), _u13287)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13285, _u13286), tc_HOL_Obool), tc_fun(_u13285, tc_HOL_Obool)), _u13287), c_Relation_ODomain(_u13285, _u13286))) )).
% 12.29/12.54 cnf(matrix-6077, plain, ( ( hAPP(c_Relation_ODomain(_u13288, _u13289), hAPP(c_Set_OCollect(tc_prod(_u13288, _u13289)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13288, _u13289, tc_HOL_Obool), _u13290))) = hAPP(c_Set_OCollect(_u13288), hAPP(hAPP(c_COMBB(tc_fun(_u13289, tc_HOL_Obool), tc_HOL_Obool, _u13288), c_HOL_OEx(_u13289)), _u13290))) )).
% 12.29/12.54 cnf(matrix-6078, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13295, _u13297, hAPP(hAPP(c_COMBC(_u13295, tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_fun(_u13297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_fun(_u13297, tc_HOL_Obool)), _u13295), c_COMBC(_u13297, tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_prod(_u13295, _u13297)), tc_fun(_u13297, tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool)), _u13295), hAPP(c_COMBB(tc_prod(_u13295, _u13297), tc_fun(tc_fun(tc_prod(_u13295, _u13297), tc_HOL_Obool), tc_HOL_Obool), _u13297), c_member(tc_prod(_u13295, _u13297)))), c_Product__Type_OPair(_u13295, _u13297)))), _u13299)), _u13301)) | hBOOL(hAPP(hAPP(c_member(_u13295), _u13301), hAPP(c_Relation_ODomain(_u13295, _u13297), _u13299))) )).
% 12.29/12.54 cnf(matrix-6079, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13296), _u13302), hAPP(c_Relation_ODomain(_u13296, _u13298), _u13300))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13296, _u13298, hAPP(hAPP(c_COMBC(_u13296, tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_fun(_u13298, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13298, tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_fun(_u13298, tc_HOL_Obool)), _u13296), c_COMBC(_u13298, tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13298, tc_prod(_u13296, _u13298)), tc_fun(_u13298, tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool)), _u13296), hAPP(c_COMBB(tc_prod(_u13296, _u13298), tc_fun(tc_fun(tc_prod(_u13296, _u13298), tc_HOL_Obool), tc_HOL_Obool), _u13298), c_member(tc_prod(_u13296, _u13298)))), c_Product__Type_OPair(_u13296, _u13298)))), _u13300)), _u13302)) )).
% 12.29/12.54 cnf(matrix-6080, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13304), _u13305), hAPP(c_Relation_ODomain(_u13304, _u13306), _u13307))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13304, _u13306)), hAPP(hAPP(c_Product__Type_OPair(_u13304, _u13306), _u13305), skolem338(_u13307, _u13306, _u13305, _u13304))), _u13307)) )).
% 12.29/12.54 cnf(matrix-6081, plain, ( ( hAPP(c_Set_Oimage(_u13308, tc_prod(_u13309, _u13310), hAPP(hAPP(c_COMBS(_u13308, _u13310, tc_prod(_u13309, _u13310)), hAPP(hAPP(c_COMBB(_u13309, tc_fun(_u13310, tc_prod(_u13309, _u13310)), _u13308), c_Product__Type_OPair(_u13309, _u13310)), _u13311)), _u13312)), _u13313) = hAPP(hAPP(c_Product__Type_OSigma(_u13309, _u13310), hAPP(c_Set_Oimage(_u13308, _u13309, _u13311), _u13313)), hAPP(hAPP(c_COMBB(tc_fun(_u13308, tc_HOL_Obool), tc_fun(_u13310, tc_HOL_Obool), _u13309), c_Set_Oimage(_u13308, _u13310, _u13312)), hAPP(hAPP(c_COMBC(_u13309, tc_fun(_u13308, tc_HOL_Obool), tc_fun(_u13308, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13308, tc_HOL_Obool), tc_fun(tc_fun(_u13308, tc_HOL_Obool), tc_fun(_u13308, tc_HOL_Obool)), _u13309), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13308, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13309, tc_HOL_Obool), tc_fun(_u13308, tc_HOL_Obool), _u13309), c_Set_Ovimage(_u13308, _u13309, _u13311)), hAPP(hAPP(c_COMBC(_u13309, tc_fun(_u13309, tc_HOL_Obool), tc_fun(_u13309, tc_HOL_Obool)), c_Set_Oinsert(_u13309)), c_Orderings_Obot__class_Obot(tc_fun(_u13309, tc_HOL_Obool)))))), _u13313)))) )).
% 12.29/12.54 cnf(matrix-6082, plain, ( ~hBOOL(hAPP(hAPP(_u13314, _u13315), _u13316)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13317, _u13318, _u13314), _u13315)) )).
% 12.29/12.54 cnf(matrix-6083, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13319), _u13320), _u13321)) | ~hBOOL(hAPP(hAPP(c_member(_u13322), _u13323), hAPP(_u13324, _u13320))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13319, _u13322)), hAPP(hAPP(c_Product__Type_OPair(_u13319, _u13322), _u13320), _u13323)), hAPP(hAPP(c_Product__Type_OSigma(_u13319, _u13322), _u13321), _u13324))) )).
% 12.29/12.54 cnf(matrix-6084, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13325, _u13326), c_Orderings_Obot__class_Obot(tc_fun(_u13325, tc_HOL_Obool))), _u13327) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13325, _u13326), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6085, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13328), _u13329), _u13330)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13332), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330)) != hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13333), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330))) | ( _u13332 = _u13333) )).
% 12.29/12.54 cnf(matrix-6086, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13328), _u13329), _u13330)) | ( _u13332 != _u13333) | ( hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13332), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330)) = hAPP(hAPP(c_Product__Type_OSigma(_u13331, _u13328), _u13333), hAPP(c_COMBK(tc_fun(_u13328, tc_HOL_Obool), _u13331), _u13330))) )).
% 12.29/12.54 cnf(matrix-6087, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13334, _u13335), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u13334, tc_HOL_Obool), _u13336)), _u13337) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u13334, tc_HOL_Obool), tc_fun(tc_prod(_u13334, _u13335), tc_HOL_Obool)), _u13336), hAPP(hAPP(c_COMBC(tc_fun(_u13334, tc_HOL_Obool), tc_fun(_u13334, tc_fun(_u13335, tc_HOL_Obool)), tc_fun(tc_prod(_u13334, _u13335), tc_HOL_Obool)), c_Product__Type_OSigma(_u13334, _u13335)), _u13337))) )).
% 12.29/12.54 cnf(matrix-6088, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13338, _u13339)), hAPP(hAPP(c_Product__Type_OSigma(_u13338, _u13339), _u13340), hAPP(c_COMBK(tc_fun(_u13339, tc_HOL_Obool), _u13338), _u13341))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u13338), _u13340)), hAPP(c_Finite__Set_Ocard(_u13339), _u13341))) )).
% 12.29/12.54 cnf(matrix-6089, plain, ( ~class_Groups_Ocomm__monoid__add(_u13342) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13343, _u13342), hAPP(hAPP(c_COMBC(_u13343, tc_fun(_u13344, tc_HOL_Obool), _u13342), hAPP(hAPP(c_COMBB(tc_fun(_u13344, _u13342), tc_fun(tc_fun(_u13344, tc_HOL_Obool), _u13342), _u13343), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13344, _u13342)), _u13345)), _u13346)), _u13347) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13343, _u13344), _u13342), hAPP(c_Product__Type_Oprod_Oprod__case(_u13343, _u13344, _u13342), _u13345)), hAPP(hAPP(c_Product__Type_OSigma(_u13343, _u13344), _u13347), hAPP(c_COMBK(tc_fun(_u13344, tc_HOL_Obool), _u13343), _u13346)))) )).
% 12.29/12.54 cnf(matrix-6090, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13348, _u13349), _u13350), hAPP(c_COMBK(tc_fun(_u13349, tc_HOL_Obool), _u13348), c_Orderings_Obot__class_Obot(tc_fun(_u13349, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13348, _u13349), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6091, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13355, _u13357), _u13359), hAPP(c_COMBK(tc_fun(_u13357, tc_HOL_Obool), _u13355), _u13361)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13355, _u13357), tc_HOL_Obool))) | ( _u13359 = c_Orderings_Obot__class_Obot(tc_fun(_u13355, tc_HOL_Obool))) | ( _u13361 = c_Orderings_Obot__class_Obot(tc_fun(_u13357, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6092, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13356, _u13358), _u13360), hAPP(c_COMBK(tc_fun(_u13358, tc_HOL_Obool), _u13356), _u13362)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13356, _u13358), tc_HOL_Obool))) | ( _u13360 != c_Orderings_Obot__class_Obot(tc_fun(_u13356, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6093, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13356, _u13358), _u13360), hAPP(c_COMBK(tc_fun(_u13358, tc_HOL_Obool), _u13356), _u13362)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13356, _u13358), tc_HOL_Obool))) | ( _u13362 != c_Orderings_Obot__class_Obot(tc_fun(_u13358, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6094, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13363, _u13364), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13363, _u13364), _u13365), hAPP(c_COMBK(tc_fun(_u13364, tc_HOL_Obool), _u13363), c_Orderings_Otop__class_Otop(tc_fun(_u13364, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u13363, _u13364), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13363, tc_HOL_Obool)), _u13365)), hAPP(c_COMBK(tc_fun(_u13364, tc_HOL_Obool), _u13363), c_Orderings_Otop__class_Otop(tc_fun(_u13364, tc_HOL_Obool))))) )).
% 12.29/12.54 cnf(matrix-6095, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u13366, _u13367), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13366, _u13367), c_Orderings_Otop__class_Otop(tc_fun(_u13366, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13367, tc_HOL_Obool), _u13366), _u13368))) = hAPP(hAPP(c_Product__Type_OSigma(_u13366, _u13367), c_Orderings_Otop__class_Otop(tc_fun(_u13366, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13367, tc_HOL_Obool), _u13366), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u13367, tc_HOL_Obool)), _u13368)))) )).
% 12.29/12.54 cnf(matrix-6096, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13369) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13370, _u13369), hAPP(hAPP(c_COMBC(_u13370, tc_fun(_u13371, tc_HOL_Obool), _u13369), hAPP(hAPP(c_COMBB(tc_fun(_u13371, _u13369), tc_fun(tc_fun(_u13371, tc_HOL_Obool), _u13369), _u13370), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13371, _u13369)), _u13372)), _u13373)), _u13374) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13370, _u13371), _u13369), hAPP(c_Product__Type_Oprod_Oprod__case(_u13370, _u13371, _u13369), _u13372)), hAPP(hAPP(c_Product__Type_OSigma(_u13370, _u13371), _u13374), hAPP(c_COMBK(tc_fun(_u13371, tc_HOL_Obool), _u13370), _u13373)))) )).
% 12.29/12.54 cnf(matrix-6097, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13375, _u13376), _u13377), hAPP(hAPP(c_COMBS(_u13375, tc_fun(_u13376, tc_HOL_Obool), tc_fun(_u13376, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13376, tc_HOL_Obool), tc_fun(tc_fun(_u13376, tc_HOL_Obool), tc_fun(_u13376, tc_HOL_Obool)), _u13375), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13376, tc_HOL_Obool))), _u13378)), _u13379)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13375, _u13376), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13375, _u13376), _u13377), _u13378)), hAPP(hAPP(c_Product__Type_OSigma(_u13375, _u13376), _u13377), _u13379))) )).
% 12.29/12.54 cnf(matrix-6098, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13380, _u13381), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13380, tc_HOL_Obool)), _u13382), _u13383)), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13380), _u13384)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13380, _u13381), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13380, _u13381), _u13382), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13380), _u13384))), hAPP(hAPP(c_Product__Type_OSigma(_u13380, _u13381), _u13383), hAPP(c_COMBK(tc_fun(_u13381, tc_HOL_Obool), _u13380), _u13384)))) )).
% 12.29/12.54 cnf(matrix-6099, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13385, _u13386), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13385, tc_HOL_Obool)), _u13387), _u13388)), _u13389) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13385, _u13386), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13385, _u13386), _u13387), _u13389)), hAPP(hAPP(c_Product__Type_OSigma(_u13385, _u13386), _u13388), _u13389))) )).
% 12.29/12.54 cnf(matrix-6100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13390, _u13391), tc_HOL_Obool)), _u13392), hAPP(hAPP(c_Product__Type_OSigma(_u13390, _u13391), _u13393), hAPP(c_COMBK(tc_fun(_u13391, tc_HOL_Obool), _u13390), _u13394)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13391, _u13395), tc_HOL_Obool)), _u13396), hAPP(hAPP(c_Product__Type_OSigma(_u13391, _u13395), _u13394), hAPP(c_COMBK(tc_fun(_u13395, tc_HOL_Obool), _u13391), _u13397)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13390, _u13395), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13390, _u13391, _u13395), _u13392), _u13396)), hAPP(hAPP(c_Product__Type_OSigma(_u13390, _u13395), _u13393), hAPP(c_COMBK(tc_fun(_u13395, tc_HOL_Obool), _u13390), _u13397)))) )).
% 12.29/12.54 cnf(matrix-6101, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13398, _u13399), tc_prod(_u13399, _u13398), hAPP(c_Product__Type_Oprod_Oprod__case(_u13398, _u13399, tc_prod(_u13399, _u13398)), hAPP(c_COMBC(_u13399, _u13398, tc_prod(_u13399, _u13398)), c_Product__Type_OPair(_u13399, _u13398)))), hAPP(hAPP(c_Product__Type_OSigma(_u13398, _u13399), _u13400), hAPP(c_COMBK(tc_fun(_u13399, tc_HOL_Obool), _u13398), _u13401))) = hAPP(hAPP(c_Product__Type_OSigma(_u13399, _u13398), _u13401), hAPP(c_COMBK(tc_fun(_u13398, tc_HOL_Obool), _u13399), _u13400))) )).
% 12.29/12.54 cnf(matrix-6102, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13402), _u13403)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13404), _u13405)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13402, _u13404)), hAPP(hAPP(c_Product__Type_OSigma(_u13402, _u13404), _u13403), hAPP(c_COMBK(tc_fun(_u13404, tc_HOL_Obool), _u13402), _u13405)))) )).
% 12.29/12.54 cnf(matrix-6103, plain, ( ~c_Equiv__Relations_Oequiv(_u13406, _u13407, _u13408) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13406, _u13406), tc_HOL_Obool)), _u13408), hAPP(hAPP(c_Product__Type_OSigma(_u13406, _u13406), _u13407), hAPP(c_COMBK(tc_fun(_u13406, tc_HOL_Obool), _u13406), _u13407)))) )).
% 12.29/12.54 cnf(matrix-6104, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13410), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13409, tc_HOL_Obool)), _u13411), _u13412)), _u13413) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13409, _u13410), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13410), _u13411), _u13413)), hAPP(hAPP(c_Product__Type_OSigma(_u13409, _u13410), _u13412), _u13413))) )).
% 12.29/12.54 cnf(matrix-6105, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13414, _u13415), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13414, tc_HOL_Obool)), _u13416), _u13417)), hAPP(c_COMBK(tc_fun(_u13415, tc_HOL_Obool), _u13414), _u13418)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13414, _u13415), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13414, _u13415), _u13416), hAPP(c_COMBK(tc_fun(_u13415, tc_HOL_Obool), _u13414), _u13418))), hAPP(hAPP(c_Product__Type_OSigma(_u13414, _u13415), _u13417), hAPP(c_COMBK(tc_fun(_u13415, tc_HOL_Obool), _u13414), _u13418)))) )).
% 12.29/12.54 cnf(matrix-6106, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13420), _u13421), hAPP(hAPP(c_COMBS(_u13419, tc_fun(_u13420, tc_HOL_Obool), tc_fun(_u13420, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13420, tc_HOL_Obool), tc_fun(tc_fun(_u13420, tc_HOL_Obool), tc_fun(_u13420, tc_HOL_Obool)), _u13419), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13420, tc_HOL_Obool))), _u13422)), _u13423)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13419, _u13420), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13420), _u13421), _u13422)), hAPP(hAPP(c_Product__Type_OSigma(_u13419, _u13420), _u13421), _u13423))) )).
% 12.29/12.54 cnf(matrix-6107, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13424, _u13424), tc_HOL_Obool)), c_Relation_OId__on(_u13424, _u13425)), hAPP(hAPP(c_Product__Type_OSigma(_u13424, _u13424), _u13425), hAPP(c_COMBK(tc_fun(_u13424, tc_HOL_Obool), _u13424), _u13425)))) )).
% 12.29/12.54 cnf(matrix-6108, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13426, _u13427), _u13428), hAPP(hAPP(c_COMBS(_u13426, tc_fun(_u13427, tc_HOL_Obool), tc_fun(_u13427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13427, tc_HOL_Obool), tc_fun(tc_fun(_u13427, tc_HOL_Obool), tc_fun(_u13427, tc_HOL_Obool)), _u13426), c_Groups_Ominus__class_Ominus(tc_fun(_u13427, tc_HOL_Obool))), _u13429)), _u13430)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13426, _u13427), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13426, _u13427), _u13428), _u13429)), hAPP(hAPP(c_Product__Type_OSigma(_u13426, _u13427), _u13428), _u13430))) )).
% 12.29/12.54 cnf(matrix-6109, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13431, _u13432), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13431, tc_HOL_Obool)), _u13433), _u13434)), hAPP(c_COMBK(tc_fun(_u13432, tc_HOL_Obool), _u13431), _u13435)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13431, _u13432), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13431, _u13432), _u13433), hAPP(c_COMBK(tc_fun(_u13432, tc_HOL_Obool), _u13431), _u13435))), hAPP(hAPP(c_Product__Type_OSigma(_u13431, _u13432), _u13434), hAPP(c_COMBK(tc_fun(_u13432, tc_HOL_Obool), _u13431), _u13435)))) )).
% 12.29/12.54 cnf(matrix-6110, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13436, _u13437), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13436, tc_HOL_Obool)), _u13438), _u13439)), _u13440) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13436, _u13437), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13436, _u13437), _u13438), _u13440)), hAPP(hAPP(c_Product__Type_OSigma(_u13436, _u13437), _u13439), _u13440))) )).
% 12.29/12.54 cnf(matrix-6111, plain, ( hBOOL(hAPP(hAPP(_u13451, _u13453), skolem339(_u13453, _u13451))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13447, _u13449, _u13451), _u13453)) )).
% 12.29/12.54 cnf(matrix-6112, plain, ( ~hBOOL(hAPP(hAPP(_u13452, _u13454), _u13442)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13448, _u13450, _u13452), _u13454)) )).
% 12.29/12.54 cnf(matrix-6113, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13455, _u13456), c_Orderings_Otop__class_Otop(tc_fun(_u13455, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u13456, tc_HOL_Obool), _u13455), c_Orderings_Otop__class_Otop(tc_fun(_u13456, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13455, _u13456), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6114, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13457, _u13458)), hAPP(hAPP(c_Product__Type_OPair(_u13457, _u13458), _u13459), _u13460)), hAPP(hAPP(c_Product__Type_OSigma(_u13457, _u13458), _u13461), _u13462))) | hBOOL(hAPP(hAPP(c_member(_u13457), _u13459), _u13461)) )).
% 12.29/12.54 cnf(matrix-6115, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13457, _u13458)), hAPP(hAPP(c_Product__Type_OPair(_u13457, _u13458), _u13459), _u13460)), hAPP(hAPP(c_Product__Type_OSigma(_u13457, _u13458), _u13461), _u13462))) | hBOOL(hAPP(hAPP(c_member(_u13458), _u13460), hAPP(_u13462, _u13459))) )).
% 12.29/12.54 cnf(matrix-6116, plain, ( hBOOL(hAPP(hAPP(c_member(_u13464), _u13466), hAPP(_u13468, _u13465))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13463, _u13464)), hAPP(hAPP(c_Product__Type_OPair(_u13463, _u13464), _u13465), _u13466)), hAPP(hAPP(c_Product__Type_OSigma(_u13463, _u13464), _u13467), _u13468))) )).
% 12.29/12.54 cnf(matrix-6117, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13469, _u13470)), hAPP(hAPP(c_Product__Type_OPair(_u13469, _u13470), _u13471), _u13472)), hAPP(hAPP(c_Product__Type_OSigma(_u13469, _u13470), _u13473), _u13474))) | hBOOL(hAPP(hAPP(c_member(_u13469), _u13471), _u13473)) )).
% 12.29/12.54 cnf(matrix-6118, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13483)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13483), _u13485), _u13487)), hAPP(hAPP(c_Product__Type_OSigma(_u13481, _u13483), _u13489), _u13491))) | hBOOL(hAPP(hAPP(c_member(_u13481), _u13485), _u13489)) )).
% 12.29/12.54 cnf(matrix-6119, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13481, _u13483)), hAPP(hAPP(c_Product__Type_OPair(_u13481, _u13483), _u13485), _u13487)), hAPP(hAPP(c_Product__Type_OSigma(_u13481, _u13483), _u13489), _u13491))) | hBOOL(hAPP(hAPP(c_member(_u13483), _u13487), hAPP(_u13491, _u13485))) )).
% 12.29/12.54 cnf(matrix-6120, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13482), _u13486), _u13490)) | ~hBOOL(hAPP(hAPP(c_member(_u13484), _u13488), hAPP(_u13492, _u13486))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13482, _u13484)), hAPP(hAPP(c_Product__Type_OPair(_u13482, _u13484), _u13486), _u13488)), hAPP(hAPP(c_Product__Type_OSigma(_u13482, _u13484), _u13490), _u13492))) )).
% 12.29/12.54 cnf(matrix-6121, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13493, _u13494)), hAPP(hAPP(c_Product__Type_OSigma(_u13493, _u13494), hAPP(hAPP(c_Set_Oinsert(_u13493), _u13495), c_Orderings_Obot__class_Obot(tc_fun(_u13493, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u13494, tc_HOL_Obool), _u13493), _u13496))) = hAPP(c_Finite__Set_Ocard(_u13494), _u13496)) )).
% 12.29/12.54 cnf(matrix-6122, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13497), _u13498), _u13499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13500, _u13497), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13501), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499))), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13502), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13500, tc_HOL_Obool)), _u13501), _u13502)) )).
% 12.29/12.54 cnf(matrix-6123, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13497), _u13498), _u13499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13500, tc_HOL_Obool)), _u13501), _u13502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13500, _u13497), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13501), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499))), hAPP(hAPP(c_Product__Type_OSigma(_u13500, _u13497), _u13502), hAPP(c_COMBK(tc_fun(_u13497, tc_HOL_Obool), _u13500), _u13499)))) )).
% 12.29/12.54 cnf(matrix-6124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13503, _u13504), tc_HOL_Obool)), _u13505), hAPP(hAPP(c_Product__Type_OSigma(_u13503, _u13504), _u13506), hAPP(c_COMBK(tc_fun(_u13504, tc_HOL_Obool), _u13503), _u13507)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13504, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13503, _u13504, _u13505), _u13508)), _u13507)) )).
% 12.29/12.54 cnf(matrix-6125, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13509, _u13510)), hAPP(hAPP(c_Product__Type_OSigma(_u13509, _u13510), _u13511), hAPP(c_COMBK(tc_fun(_u13510, tc_HOL_Obool), _u13509), _u13512)))) | ( _u13511 = c_Orderings_Obot__class_Obot(tc_fun(_u13509, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13510), _u13512)) )).
% 12.29/12.54 cnf(matrix-6126, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13513, _u13514)), hAPP(hAPP(c_Product__Type_OSigma(_u13513, _u13514), _u13515), hAPP(c_COMBK(tc_fun(_u13514, tc_HOL_Obool), _u13513), _u13516)))) | ( _u13516 = c_Orderings_Obot__class_Obot(tc_fun(_u13514, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13513), _u13515)) )).
% 12.29/12.54 cnf(matrix-6127, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13517, _u13518)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13517, _u13518, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u13517, tc_fun(_u13518, tc_HOL_Obool), tc_fun(_u13518, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13518, tc_HOL_Obool), tc_fun(_u13518, tc_HOL_Obool)), _u13517), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13518)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13517), c_fconj), _u13519))), _u13520))) = hAPP(hAPP(c_Product__Type_OSigma(_u13517, _u13518), hAPP(c_Set_OCollect(_u13517), _u13519)), hAPP(hAPP(c_COMBB(tc_fun(_u13518, tc_HOL_Obool), tc_fun(_u13518, tc_HOL_Obool), _u13517), c_Set_OCollect(_u13518)), _u13520))) )).
% 12.29/12.54 cnf(matrix-6128, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u13521, _u13522)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13521, _u13522, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13521, tc_fun(_u13522, tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13522, tc_HOL_Obool), tc_fun(_u13522, tc_HOL_Obool)), _u13521), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13522)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13521), c_fconj), _u13523))), _u13524))) = hAPP(hAPP(c_Product__Type_OSigma(_u13521, _u13522), hAPP(c_Set_OCollect(_u13521), _u13523)), hAPP(c_COMBK(tc_fun(_u13522, tc_HOL_Obool), _u13521), hAPP(c_Set_OCollect(_u13522), _u13524)))) )).
% 12.29/12.54 cnf(matrix-6129, plain, ( ( _u13529 != c_Orderings_Obot__class_Obot(tc_fun(_u13531, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13533, _u13531), _u13533, c_Product__Type_Ofst(_u13533, _u13531)), hAPP(hAPP(c_Product__Type_OSigma(_u13533, _u13531), _u13535), hAPP(c_COMBK(tc_fun(_u13531, tc_HOL_Obool), _u13533), _u13529))) = c_Orderings_Obot__class_Obot(tc_fun(_u13533, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6130, plain, ( ( _u13530 = c_Orderings_Obot__class_Obot(tc_fun(_u13532, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13534, _u13532), _u13534, c_Product__Type_Ofst(_u13534, _u13532)), hAPP(hAPP(c_Product__Type_OSigma(_u13534, _u13532), _u13536), hAPP(c_COMBK(tc_fun(_u13532, tc_HOL_Obool), _u13534), _u13530))) = _u13536) )).
% 12.29/12.54 cnf(matrix-6131, plain, ( ( _u13541 != c_Orderings_Obot__class_Obot(tc_fun(_u13543, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13543, _u13545), _u13545, c_Product__Type_Osnd(_u13543, _u13545)), hAPP(hAPP(c_Product__Type_OSigma(_u13543, _u13545), _u13541), hAPP(c_COMBK(tc_fun(_u13545, tc_HOL_Obool), _u13543), _u13547))) = c_Orderings_Obot__class_Obot(tc_fun(_u13545, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6132, plain, ( ( _u13542 = c_Orderings_Obot__class_Obot(tc_fun(_u13544, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13544, _u13546), _u13546, c_Product__Type_Osnd(_u13544, _u13546)), hAPP(hAPP(c_Product__Type_OSigma(_u13544, _u13546), _u13542), hAPP(c_COMBK(tc_fun(_u13546, tc_HOL_Obool), _u13544), _u13548))) = _u13548) )).
% 12.29/12.54 cnf(matrix-6133, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13549, _u13550), hAPP(hAPP(c_Set_Oinsert(_u13549), _u13551), _u13552)), hAPP(c_COMBK(tc_fun(_u13550, tc_HOL_Obool), _u13549), hAPP(hAPP(c_Set_Oinsert(_u13550), _u13553), _u13554))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13549, _u13550)), hAPP(hAPP(c_Product__Type_OPair(_u13549, _u13550), _u13551), _u13553)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13549, _u13550), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13549, _u13550), _u13552), hAPP(c_COMBK(tc_fun(_u13550, tc_HOL_Obool), _u13549), hAPP(hAPP(c_Set_Oinsert(_u13550), _u13553), _u13554)))), hAPP(hAPP(c_Product__Type_OSigma(_u13549, _u13550), hAPP(hAPP(c_Set_Oinsert(_u13549), _u13551), _u13552)), hAPP(c_COMBK(tc_fun(_u13550, tc_HOL_Obool), _u13549), _u13554))))) )).
% 12.29/12.54 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13555), _u13556)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13555, _u13555), tc_HOL_Obool)), _u13557), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13555), _u13556), hAPP(c_COMBK(tc_fun(_u13555, tc_HOL_Obool), _u13555), _u13556)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u13555, tc_HOL_Obool)), _u13558), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13555), _u13556), _u13557))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13555), _u13558)) )).
% 12.29/12.54 cnf(matrix-6135, plain, ( ( hAPP(c_Set_Ovimage(_u13559, tc_prod(_u13560, _u13561), _u13562), hAPP(hAPP(c_Product__Type_OSigma(_u13560, _u13561), _u13563), hAPP(c_COMBK(tc_fun(_u13561, tc_HOL_Obool), _u13560), _u13564))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13559, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13559, _u13560, hAPP(c_Fun_Ocomp(tc_prod(_u13560, _u13561), _u13560, _u13559, c_Product__Type_Ofst(_u13560, _u13561)), _u13562)), _u13563)), hAPP(c_Set_Ovimage(_u13559, _u13561, hAPP(c_Fun_Ocomp(tc_prod(_u13560, _u13561), _u13561, _u13559, c_Product__Type_Osnd(_u13560, _u13561)), _u13562)), _u13564))) )).
% 12.29/12.54 cnf(matrix-6136, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u13565, _u13566), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13565, _u13566), _u13569), hAPP(c_COMBK(tc_fun(_u13566, tc_HOL_Obool), _u13565), _u13570))), hAPP(c_Product__Type_Oprod_Oprod__case(_u13565, _u13566, tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u13565, tc_fun(_u13566, tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool))), tc_fun(_u13566, tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), tc_fun(tc_fun(_u13566, tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool))), tc_fun(_u13566, tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool))), _u13565), c_COMBB(tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool), _u13566)), hAPP(hAPP(c_COMBB(tc_fun(_u13567, tc_HOL_Obool), tc_fun(tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), tc_fun(tc_prod(_u13567, _u13568), tc_HOL_Obool)), _u13565), c_Product__Type_OSigma(_u13567, _u13568)), _u13571))), hAPP(hAPP(c_COMBB(tc_fun(_u13568, tc_HOL_Obool), tc_fun(_u13567, tc_fun(_u13568, tc_HOL_Obool)), _u13566), c_COMBK(tc_fun(_u13568, tc_HOL_Obool), _u13567)), _u13572)))) = hAPP(hAPP(c_Product__Type_OSigma(_u13567, _u13568), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13565, tc_fun(_u13567, tc_HOL_Obool)), _u13569), _u13571)), hAPP(c_COMBK(tc_fun(_u13568, tc_HOL_Obool), _u13567), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13566, tc_fun(_u13568, tc_HOL_Obool)), _u13570), _u13572)))) )).
% 12.29/12.54 cnf(matrix-6137, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u13573, _u13574), _u13575), _u13576) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13573, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), _u13575), hAPP(hAPP(c_COMBS(_u13573, tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13574, tc_HOL_Obool), tc_fun(tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), _u13573), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), _u13576)), hAPP(hAPP(c_COMBC(_u13573, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13574, tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), _u13573), c_COMBC(_u13574, tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13574, tc_prod(_u13573, _u13574)), tc_fun(_u13574, tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool))), _u13573), hAPP(c_COMBB(tc_prod(_u13573, _u13574), tc_fun(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool), tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)), _u13574), c_Set_Oinsert(tc_prod(_u13573, _u13574)))), c_Product__Type_OPair(_u13573, _u13574)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13573, _u13574), tc_HOL_Obool)))))) )).
% 12.29/12.54 cnf(matrix-6138, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13577, _u13577), tc_HOL_Obool)), _u13579), hAPP(hAPP(c_Product__Type_OSigma(_u13577, _u13577), _u13578), hAPP(c_COMBK(tc_fun(_u13577, tc_HOL_Obool), _u13577), _u13578)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u13577, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u13577), _u13578), _u13579))) )).
% 12.29/12.54 cnf(matrix-6139, plain, ( ~class_Rings_Osemiring__0(_u13580) | ~c_Fun_Oinj__on(tc_prod(_u13581, _u13582), _u13580, hAPP(c_Product__Type_Oprod_Oprod__case(_u13581, _u13582, _u13580), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), hAPP(hAPP(c_COMBB(tc_fun(_u13580, _u13580), tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), _u13581), c_COMBB(_u13580, _u13580, _u13582)), hAPP(hAPP(c_COMBB(_u13580, tc_fun(_u13580, _u13580), _u13581), c_Groups_Otimes__class_Otimes(_u13580)), _u13583))), _u13584)), hAPP(hAPP(c_Product__Type_OSigma(_u13581, _u13582), _u13585), hAPP(c_COMBK(tc_fun(_u13582, tc_HOL_Obool), _u13581), _u13586))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u13580), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13581, _u13580), _u13583), _u13585)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13582, _u13580), _u13584), _u13586)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13580, _u13580), c_Fun_Oid(_u13580)), hAPP(c_Set_OCollect(_u13580), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_HOL_Obool), tc_HOL_Obool, _u13580), c_HOL_OEx(_u13581)), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_HOL_Obool), _u13580), hAPP(c_COMBB(tc_fun(_u13582, tc_HOL_Obool), tc_HOL_Obool, _u13581), c_HOL_OEx(_u13582))), hAPP(hAPP(c_COMBC(_u13580, tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool))), tc_fun(tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), _u13580), c_COMBS(_u13581, tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u13581, tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool))), _u13580), hAPP(c_COMBB(tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool)), _u13581), c_COMBS(_u13582, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool)), tc_fun(_u13581, tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u13580), hAPP(c_COMBB(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u13581), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13582), c_fconj))), hAPP(hAPP(c_COMBC(_u13580, tc_fun(_u13581, tc_fun(_u13582, _u13580)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, tc_HOL_Obool)), tc_fun(tc_fun(_u13581, tc_fun(_u13582, _u13580)), tc_fun(_u13581, tc_fun(_u13582, tc_HOL_Obool))), _u13580), c_COMBB(tc_fun(_u13582, _u13580), tc_fun(_u13582, tc_HOL_Obool), _u13581)), hAPP(hAPP(c_COMBB(tc_fun(_u13580, tc_HOL_Obool), tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, tc_HOL_Obool)), _u13580), c_COMBB(_u13580, tc_HOL_Obool, _u13582)), c_fequal))), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), hAPP(hAPP(c_COMBB(tc_fun(_u13580, _u13580), tc_fun(tc_fun(_u13582, _u13580), tc_fun(_u13582, _u13580)), _u13581), c_COMBB(_u13580, _u13580, _u13582)), hAPP(hAPP(c_COMBB(_u13580, tc_fun(_u13580, _u13580), _u13581), c_Groups_Otimes__class_Otimes(_u13580)), _u13583))), _u13584)))))), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13582, tc_HOL_Obool), tc_fun(_u13582, tc_HOL_Obool)), _u13581), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13582)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13581), c_fconj), hAPP(hAPP(c_COMBC(_u13581, tc_fun(_u13581, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13581)), _u13585)))), hAPP(hAPP(c_COMBC(_u13582, tc_fun(_u13582, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13582)), _u13586)))))))) )).
% 12.29/12.54 cnf(matrix-6140, plain, ( c_Fun_Oinj__on(_u13588, tc_prod(_u13589, _u13588), skolem340(_u13591, _u13590, _u13589, _u13588), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13589, tc_fun(_u13588, tc_HOL_Obool)), _u13590), _u13591)) )).
% 12.29/12.54 cnf(matrix-6141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13589, _u13588), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13588, tc_prod(_u13589, _u13588), skolem340(_u13591, _u13590, _u13589, _u13588)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13589, tc_fun(_u13588, tc_HOL_Obool)), _u13590), _u13591))), hAPP(hAPP(c_Product__Type_OSigma(_u13589, _u13588), _u13590), _u13591))) )).
% 12.29/12.54 cnf(matrix-6142, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13594), _u13595)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, _u13594, c_Groups_Otimes__class_Otimes(_u13593)), hAPP(hAPP(c_COMBS(_u13594, tc_fun(_u13596, tc_HOL_Obool), _u13593), hAPP(hAPP(c_COMBC(_u13594, _u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), hAPP(hAPP(c_COMBB(tc_fun(_u13596, _u13593), tc_fun(_u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), _u13594), c_Finite__Set_Ofold__image(_u13593, _u13596, c_Groups_Otimes__class_Otimes(_u13593))), _u13598)), c_Groups_Oone__class_Oone(_u13593))), _u13597)), c_Groups_Oone__class_Oone(_u13593)), _u13595) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, tc_prod(_u13594, _u13596), c_Groups_Otimes__class_Otimes(_u13593)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13594, _u13596, _u13593), _u13598)), c_Groups_Oone__class_Oone(_u13593)), hAPP(hAPP(c_Product__Type_OSigma(_u13594, _u13596), _u13595), _u13597))) | hBOOL(hAPP(hAPP(c_member(_u13594), skolem341(_u13598, _u13597, _u13596, _u13595, _u13594, _u13593)), _u13595)) )).
% 12.29/12.54 cnf(matrix-6143, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13594), _u13595)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, _u13594, c_Groups_Otimes__class_Otimes(_u13593)), hAPP(hAPP(c_COMBS(_u13594, tc_fun(_u13596, tc_HOL_Obool), _u13593), hAPP(hAPP(c_COMBC(_u13594, _u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), hAPP(hAPP(c_COMBB(tc_fun(_u13596, _u13593), tc_fun(_u13593, tc_fun(tc_fun(_u13596, tc_HOL_Obool), _u13593)), _u13594), c_Finite__Set_Ofold__image(_u13593, _u13596, c_Groups_Otimes__class_Otimes(_u13593))), _u13598)), c_Groups_Oone__class_Oone(_u13593))), _u13597)), c_Groups_Oone__class_Oone(_u13593)), _u13595) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13593, tc_prod(_u13594, _u13596), c_Groups_Otimes__class_Otimes(_u13593)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13594, _u13596, _u13593), _u13598)), c_Groups_Oone__class_Oone(_u13593)), hAPP(hAPP(c_Product__Type_OSigma(_u13594, _u13596), _u13595), _u13597))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13596), hAPP(_u13597, skolem341(_u13598, _u13597, _u13596, _u13595, _u13594, _u13593)))) )).
% 12.29/12.54 cnf(matrix-6144, plain, ( c_Fun_Obij__betw(_u13599, _u13599, c_Fun_Oid(_u13599), _u13600, _u13600) )).
% 12.29/12.54 cnf(matrix-6145, plain, ( ( hAPP(c_Set_Oimage(_u13601, _u13601, c_Fun_Oid(_u13601)), _u13602) = _u13602) )).
% 12.29/12.54 cnf(matrix-6146, plain, ( ( c_Product__Type_Oapsnd(_u13603, _u13603, _u13604, c_Fun_Oid(_u13603)) = c_Fun_Oid(tc_prod(_u13604, _u13603))) )).
% 12.29/12.54 cnf(matrix-6147, plain, ( ( hAPP(c_Fun_Oid(_u13605), _u13606) = _u13606) )).
% 12.29/12.54 cnf(matrix-6148, plain, ( ( hAPP(c_Fun_Oid(_u13607), _u13608) = _u13608) )).
% 12.29/12.54 cnf(matrix-6149, plain, ( ( hAPP(c_Set_Ovimage(_u13609, _u13609, c_Fun_Oid(_u13609)), _u13610) = _u13610) )).
% 12.29/12.54 cnf(matrix-6150, plain, ( ( _u13616 = _u13618) | ~c_Fun_Obij__betw(_u13614, _u13614, c_Fun_Oid(_u13614), _u13616, _u13618) )).
% 12.29/12.54 cnf(matrix-6151, plain, ( ( _u13617 != _u13619) | c_Fun_Obij__betw(_u13615, _u13615, c_Fun_Oid(_u13615), _u13617, _u13619) )).
% 12.29/12.54 cnf(matrix-6152, plain, ( c_Fun_Oinj__on(_u13620, _u13620, c_Fun_Oid(_u13620), _u13621) )).
% 12.29/12.54 cnf(matrix-6153, plain, ( ( hAPP(c_Fun_Ocomp(_u13622, _u13623, _u13622, _u13624), c_Fun_Oid(_u13622)) = _u13624) )).
% 12.29/12.54 cnf(matrix-6154, plain, ( ( hAPP(c_Fun_Ocomp(_u13625, _u13625, _u13626, c_Fun_Oid(_u13625)), _u13627) = _u13627) )).
% 12.29/12.54 cnf(matrix-6155, plain, ( ( hAPP(_u13631, hAPP(_u13632, _u13634)) = hAPP(_u13633, _u13634)) | ( hAPP(c_Fun_Ocomp(_u13628, _u13629, _u13630, _u13631), _u13632) != hAPP(c_Fun_Ocomp(_u13629, _u13629, _u13630, c_Fun_Oid(_u13629)), _u13633)) )).
% 12.29/12.54 cnf(matrix-6156, plain, ( ( c_Product__Type_Oapfst(_u13635, _u13635, _u13636, c_Fun_Oid(_u13635)) = c_Fun_Oid(tc_prod(_u13635, _u13636))) )).
% 12.29/12.54 cnf(matrix-6157, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 12.29/12.54 cnf(matrix-6158, plain, ( ( hAPP(c_Set_Oimage(_u13637, _u13637, c_Fun_Oid(_u13637)), c_Orderings_Otop__class_Otop(tc_fun(_u13637, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13637, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6159, plain, ( c_Fun_Obij__betw(_u13638, _u13638, c_Fun_Oid(_u13638), c_Orderings_Otop__class_Otop(tc_fun(_u13638, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u13638, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6160, plain, ( ~c_Finite__Set_Ofolding(_u13639, _u13640, _u13641, _u13642) | ( hAPP(_u13642, c_Orderings_Obot__class_Obot(tc_fun(_u13639, tc_HOL_Obool))) = c_Fun_Oid(_u13640)) )).
% 12.29/12.54 cnf(matrix-6161, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u13643, _u13644, tc_prod(_u13643, _u13644)), c_Product__Type_OPair(_u13643, _u13644)) = c_Fun_Oid(tc_prod(_u13643, _u13644))) )).
% 12.29/12.54 cnf(matrix-6162, plain, ( ~class_Groups_Ocomm__monoid__add(_u13645) | ~c_Fun_Oinj__on(_u13646, _u13645, _u13647, _u13648) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13646, _u13645), _u13647), _u13648) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13645, _u13645), c_Fun_Oid(_u13645)), hAPP(c_Set_Oimage(_u13646, _u13645, _u13647), _u13648))) )).
% 12.29/12.54 cnf(matrix-6163, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13649) | ~c_Fun_Oinj__on(_u13650, _u13649, _u13651, _u13652) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13650, _u13649), _u13651), _u13652) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13649, _u13649), c_Fun_Oid(_u13649)), hAPP(c_Set_Oimage(_u13650, _u13649, _u13651), _u13652))) )).
% 12.29/12.54 cnf(matrix-6164, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13655), _u13656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13655, _u13654), hAPP(hAPP(c_COMBS(_u13655, tc_fun(_u13657, tc_HOL_Obool), _u13654), hAPP(hAPP(c_COMBB(tc_fun(_u13657, _u13654), tc_fun(tc_fun(_u13657, tc_HOL_Obool), _u13654), _u13655), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13657, _u13654)), _u13659)), _u13658)), _u13656) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13655, _u13657), _u13654), hAPP(c_Product__Type_Oprod_Oprod__case(_u13655, _u13657, _u13654), _u13659)), hAPP(hAPP(c_Product__Type_OSigma(_u13655, _u13657), _u13656), _u13658))) | hBOOL(hAPP(hAPP(c_member(_u13655), skolem342(_u13659, _u13658, _u13657, _u13656, _u13655, _u13654)), _u13656)) )).
% 12.29/12.54 cnf(matrix-6165, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13654) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13655), _u13656)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13655, _u13654), hAPP(hAPP(c_COMBS(_u13655, tc_fun(_u13657, tc_HOL_Obool), _u13654), hAPP(hAPP(c_COMBB(tc_fun(_u13657, _u13654), tc_fun(tc_fun(_u13657, tc_HOL_Obool), _u13654), _u13655), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13657, _u13654)), _u13659)), _u13658)), _u13656) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u13655, _u13657), _u13654), hAPP(c_Product__Type_Oprod_Oprod__case(_u13655, _u13657, _u13654), _u13659)), hAPP(hAPP(c_Product__Type_OSigma(_u13655, _u13657), _u13656), _u13658))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13657), hAPP(_u13658, skolem342(_u13659, _u13658, _u13657, _u13656, _u13655, _u13654)))) )).
% 12.29/12.54 cnf(matrix-6166, plain, ( ~class_Groups_Ocomm__monoid__add(_u13661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13662), _u13663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13662, _u13661), hAPP(hAPP(c_COMBS(_u13662, tc_fun(_u13664, tc_HOL_Obool), _u13661), hAPP(hAPP(c_COMBB(tc_fun(_u13664, _u13661), tc_fun(tc_fun(_u13664, tc_HOL_Obool), _u13661), _u13662), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13664, _u13661)), _u13666)), _u13665)), _u13663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13662, _u13664), _u13661), hAPP(c_Product__Type_Oprod_Oprod__case(_u13662, _u13664, _u13661), _u13666)), hAPP(hAPP(c_Product__Type_OSigma(_u13662, _u13664), _u13663), _u13665))) | hBOOL(hAPP(hAPP(c_member(_u13662), skolem343(_u13666, _u13665, _u13664, _u13663, _u13662, _u13661)), _u13663)) )).
% 12.29/12.54 cnf(matrix-6167, plain, ( ~class_Groups_Ocomm__monoid__add(_u13661) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13662), _u13663)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13662, _u13661), hAPP(hAPP(c_COMBS(_u13662, tc_fun(_u13664, tc_HOL_Obool), _u13661), hAPP(hAPP(c_COMBB(tc_fun(_u13664, _u13661), tc_fun(tc_fun(_u13664, tc_HOL_Obool), _u13661), _u13662), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13664, _u13661)), _u13666)), _u13665)), _u13663) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u13662, _u13664), _u13661), hAPP(c_Product__Type_Oprod_Oprod__case(_u13662, _u13664, _u13661), _u13666)), hAPP(hAPP(c_Product__Type_OSigma(_u13662, _u13664), _u13663), _u13665))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13664), hAPP(_u13665, skolem343(_u13666, _u13665, _u13664, _u13663, _u13662, _u13661)))) )).
% 12.29/12.54 cnf(matrix-6168, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13668), _u13669)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13668, _u13670)), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13670), _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13670, tc_HOL_Obool), tc_Nat_Onat, _u13668), c_Finite__Set_Ocard(_u13670)), _u13671)), _u13669)) | hBOOL(hAPP(hAPP(c_member(_u13668), skolem344(_u13671, _u13670, _u13669, _u13668)), _u13669)) )).
% 12.29/12.54 cnf(matrix-6169, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13668), _u13669)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u13668, _u13670)), hAPP(hAPP(c_Product__Type_OSigma(_u13668, _u13670), _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u13670, tc_HOL_Obool), tc_Nat_Onat, _u13668), c_Finite__Set_Ocard(_u13670)), _u13671)), _u13669)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13670), hAPP(_u13671, skolem344(_u13671, _u13670, _u13669, _u13668)))) )).
% 12.29/12.54 cnf(matrix-6170, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13673), _u13674)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13673, _u13675)), hAPP(hAPP(c_Product__Type_OSigma(_u13673, _u13675), _u13674), _u13676))) | hBOOL(hAPP(hAPP(c_member(_u13673), skolem345(_u13676, _u13675, _u13674, _u13673)), _u13674)) )).
% 12.29/12.54 cnf(matrix-6171, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13673), _u13674)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13673, _u13675)), hAPP(hAPP(c_Product__Type_OSigma(_u13673, _u13675), _u13674), _u13676))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13675), hAPP(_u13676, skolem345(_u13676, _u13675, _u13674, _u13673)))) )).
% 12.29/12.54 cnf(matrix-6172, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13679, _u13680)), _u13681), hAPP(hAPP(c_Product__Type_OSigma(_u13679, _u13680), _u13682), _u13683))) | hBOOL(hAPP(hAPP(c_member(_u13679), skolem346(_u13683, _u13682, _u13681, _u13680, _u13679)), _u13682)) )).
% 12.29/12.54 cnf(matrix-6173, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13679, _u13680)), _u13681), hAPP(hAPP(c_Product__Type_OSigma(_u13679, _u13680), _u13682), _u13683))) | hBOOL(hAPP(hAPP(c_member(_u13680), skolem347(_u13683, _u13682, _u13681, _u13680, _u13679)), hAPP(_u13683, skolem346(_u13683, _u13682, _u13681, _u13680, _u13679)))) )).
% 12.29/12.54 cnf(matrix-6174, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13679, _u13680)), _u13681), hAPP(hAPP(c_Product__Type_OSigma(_u13679, _u13680), _u13682), _u13683))) | ( _u13681 = hAPP(hAPP(c_Product__Type_OPair(_u13679, _u13680), skolem346(_u13683, _u13682, _u13681, _u13680, _u13679)), skolem347(_u13683, _u13682, _u13681, _u13680, _u13679))) )).
% 12.29/12.54 cnf(matrix-6175, plain, ( ( hAPP(c_Set_Oimage(_u13684, _u13685, _u13686), c_Orderings_Otop__class_Otop(tc_fun(_u13684, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13685, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13687, _u13688, _u13689), c_Orderings_Otop__class_Otop(tc_fun(_u13687, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13688, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u13684, _u13687), tc_prod(_u13685, _u13688), c_Product__Type_Omap__pair(_u13684, _u13685, _u13687, _u13688, _u13686, _u13689)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13684, _u13687), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u13685, _u13688), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6176, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13690, _u13691)), hAPP(hAPP(c_Product__Type_OPair(_u13690, _u13691), _u13692), _u13693)), _u13694)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13695, _u13696)), hAPP(hAPP(c_Product__Type_OPair(_u13695, _u13696), hAPP(_u13697, _u13692)), hAPP(_u13698, _u13693))), hAPP(c_Set_Oimage(tc_prod(_u13690, _u13691), tc_prod(_u13695, _u13696), c_Product__Type_Omap__pair(_u13690, _u13695, _u13691, _u13696, _u13697, _u13698)), _u13694))) )).
% 12.29/12.54 cnf(matrix-6177, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13699, _u13700, _u13701, _u13702, _u13703, _u13704), hAPP(hAPP(c_Product__Type_OPair(_u13699, _u13701), _u13705), _u13706)) = hAPP(hAPP(c_Product__Type_OPair(_u13700, _u13702), hAPP(_u13703, _u13705)), hAPP(_u13704, _u13706))) )).
% 12.29/12.54 cnf(matrix-6178, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13707, _u13707, _u13708, _u13708, c_COMBI(_u13707), c_COMBI(_u13708)), _u13709) = _u13709) )).
% 12.29/12.54 cnf(matrix-6179, plain, ( ( hAPP(c_Product__Type_Osnd(_u13710, _u13711), hAPP(c_Product__Type_Omap__pair(_u13712, _u13710, _u13713, _u13711, _u13714, _u13715), _u13716)) = hAPP(_u13715, hAPP(c_Product__Type_Osnd(_u13712, _u13713), _u13716))) )).
% 12.29/12.54 cnf(matrix-6180, plain, ( ( hAPP(c_Product__Type_Ofst(_u13717, _u13718), hAPP(c_Product__Type_Omap__pair(_u13719, _u13717, _u13720, _u13718, _u13721, _u13722), _u13723)) = hAPP(_u13721, hAPP(c_Product__Type_Ofst(_u13719, _u13720), _u13723))) )).
% 12.29/12.54 cnf(matrix-6181, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13724, _u13725), _u13724, tc_prod(_u13726, _u13727), c_Product__Type_Ofst(_u13724, _u13725)), c_Product__Type_Omap__pair(_u13726, _u13724, _u13727, _u13725, _u13728, _u13729)) = hAPP(c_Fun_Ocomp(_u13726, _u13724, tc_prod(_u13726, _u13727), _u13728), c_Product__Type_Ofst(_u13726, _u13727))) )).
% 12.29/12.54 cnf(matrix-6182, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13730, _u13731), _u13731, tc_prod(_u13732, _u13733), c_Product__Type_Osnd(_u13730, _u13731)), c_Product__Type_Omap__pair(_u13732, _u13730, _u13733, _u13731, _u13734, _u13735)) = hAPP(c_Fun_Ocomp(_u13733, _u13731, tc_prod(_u13732, _u13733), _u13735), c_Product__Type_Osnd(_u13732, _u13733))) )).
% 12.29/12.54 cnf(matrix-6183, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13736, _u13737), tc_prod(_u13738, _u13739), tc_prod(_u13740, _u13741), c_Product__Type_Omap__pair(_u13736, _u13738, _u13737, _u13739, _u13742, _u13743)), c_Product__Type_Omap__pair(_u13740, _u13736, _u13741, _u13737, _u13744, _u13745)) = c_Product__Type_Omap__pair(_u13740, _u13738, _u13741, _u13739, hAPP(c_Fun_Ocomp(_u13736, _u13738, _u13740, _u13742), _u13744), hAPP(c_Fun_Ocomp(_u13737, _u13739, _u13741, _u13743), _u13745))) )).
% 12.29/12.54 cnf(matrix-6184, plain, ( ( c_Product__Type_Omap__pair(_u13746, _u13747, _u13748, _u13749, hAPP(c_Fun_Ocomp(_u13750, _u13747, _u13746, _u13751), _u13752), hAPP(c_Fun_Ocomp(_u13753, _u13749, _u13748, _u13754), _u13755)) = hAPP(c_Fun_Ocomp(tc_prod(_u13750, _u13753), tc_prod(_u13747, _u13749), tc_prod(_u13746, _u13748), c_Product__Type_Omap__pair(_u13750, _u13747, _u13753, _u13749, _u13751, _u13754)), c_Product__Type_Omap__pair(_u13746, _u13750, _u13748, _u13753, _u13752, _u13755))) )).
% 12.29/12.54 cnf(matrix-6185, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13756, _u13757, _u13758, _u13759, _u13760, _u13761), hAPP(c_Product__Type_Omap__pair(_u13762, _u13756, _u13763, _u13758, _u13764, _u13765), _u13766)) = hAPP(c_Product__Type_Omap__pair(_u13762, _u13757, _u13763, _u13759, hAPP(c_Fun_Ocomp(_u13756, _u13757, _u13762, _u13760), _u13764), hAPP(c_Fun_Ocomp(_u13758, _u13759, _u13763, _u13761), _u13765)), _u13766)) )).
% 12.29/12.54 cnf(matrix-6186, plain, ( ( c_Product__Type_Omap__pair(_u13767, _u13767, _u13768, _u13768, c_COMBI(_u13767), c_COMBI(_u13768)) = c_Fun_Oid(tc_prod(_u13767, _u13768))) )).
% 12.29/12.54 cnf(matrix-6187, plain, ( ( c_Product__Type_Oapsnd(_u13769, _u13770, _u13771, _u13772) = c_Product__Type_Omap__pair(_u13771, _u13771, _u13769, _u13770, c_Fun_Oid(_u13771), _u13772)) )).
% 12.29/12.54 cnf(matrix-6188, plain, ( ( c_Product__Type_Oapfst(_u13773, _u13774, _u13775, _u13776) = c_Product__Type_Omap__pair(_u13773, _u13774, _u13775, _u13775, _u13776, c_Fun_Oid(_u13775))) )).
% 12.29/12.54 cnf(matrix-6189, plain, ( ( c_Product__Type_Omap__pair(_u13777, _u13777, _u13778, _u13778, c_Fun_Oid(_u13777), c_Fun_Oid(_u13778)) = c_Fun_Oid(tc_prod(_u13777, _u13778))) )).
% 12.29/12.54 cnf(matrix-6190, plain, ( ( c_Product__Type_Omap__pair(_u13779, _u13780, _u13781, _u13782, _u13783, _u13784) = hAPP(c_Product__Type_Oprod_Oprod__case(_u13779, _u13781, tc_prod(_u13780, _u13782)), hAPP(hAPP(c_COMBC(_u13779, tc_fun(_u13781, _u13782), tc_fun(_u13781, tc_prod(_u13780, _u13782))), hAPP(hAPP(c_COMBB(tc_fun(_u13782, tc_prod(_u13780, _u13782)), tc_fun(tc_fun(_u13781, _u13782), tc_fun(_u13781, tc_prod(_u13780, _u13782))), _u13779), c_COMBB(_u13782, tc_prod(_u13780, _u13782), _u13781)), hAPP(hAPP(c_COMBB(_u13780, tc_fun(_u13782, tc_prod(_u13780, _u13782)), _u13779), c_Product__Type_OPair(_u13780, _u13782)), _u13783))), _u13784))) )).
% 12.29/12.54 cnf(matrix-6191, plain, ( ( hAPP(c_Set_Oimage(_u13785, _u13786, _u13787), _u13788) != _u13789) | ( hAPP(c_Set_Oimage(_u13790, _u13791, _u13792), _u13793) != _u13794) | ( hAPP(c_Set_Oimage(tc_prod(_u13785, _u13790), tc_prod(_u13786, _u13791), c_Product__Type_Omap__pair(_u13785, _u13786, _u13790, _u13791, _u13787, _u13792)), hAPP(hAPP(c_Product__Type_OSigma(_u13785, _u13790), _u13788), hAPP(c_COMBK(tc_fun(_u13790, tc_HOL_Obool), _u13785), _u13793))) = hAPP(hAPP(c_Product__Type_OSigma(_u13786, _u13791), _u13789), hAPP(c_COMBK(tc_fun(_u13791, tc_HOL_Obool), _u13786), _u13794))) )).
% 12.29/12.54 cnf(matrix-6192, plain, ( ~c_Wellfounded_Owf(_u13795, _u13796) | ~c_Fun_Oinj__on(_u13795, _u13797, _u13798, c_Orderings_Otop__class_Otop(tc_fun(_u13795, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13797, hAPP(c_Set_Oimage(tc_prod(_u13795, _u13795), tc_prod(_u13797, _u13797), c_Product__Type_Omap__pair(_u13795, _u13797, _u13795, _u13797, _u13798, _u13798)), _u13796)) )).
% 12.29/12.54 cnf(matrix-6193, plain, ( ~c_Fun_Oinj__on(_u13799, _u13800, _u13801, _u13802) | ~c_Fun_Oinj__on(_u13803, _u13804, _u13805, _u13806) | c_Fun_Oinj__on(tc_prod(_u13799, _u13803), tc_prod(_u13800, _u13804), c_Product__Type_Omap__pair(_u13799, _u13800, _u13803, _u13804, _u13801, _u13805), hAPP(hAPP(c_Product__Type_OSigma(_u13799, _u13803), _u13802), hAPP(c_COMBK(tc_fun(_u13803, tc_HOL_Obool), _u13799), _u13806))) )).
% 12.29/12.54 cnf(matrix-6194, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13809, _u13810)), _u13811), hAPP(c_Set_Oimage(tc_prod(_u13812, _u13813), tc_prod(_u13809, _u13810), c_Product__Type_Omap__pair(_u13812, _u13809, _u13813, _u13810, _u13814, _u13815)), _u13816))) | ( _u13811 = hAPP(hAPP(c_Product__Type_OPair(_u13809, _u13810), hAPP(_u13814, skolem348(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809))), hAPP(_u13815, skolem349(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809)))) )).
% 12.29/12.54 cnf(matrix-6195, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13809, _u13810)), _u13811), hAPP(c_Set_Oimage(tc_prod(_u13812, _u13813), tc_prod(_u13809, _u13810), c_Product__Type_Omap__pair(_u13812, _u13809, _u13813, _u13810, _u13814, _u13815)), _u13816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13813)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13813), skolem348(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809)), skolem349(_u13816, _u13815, _u13814, _u13813, _u13812, _u13811, _u13810, _u13809))), _u13816)) )).
% 12.29/12.54 cnf(matrix-6196, plain, ( ~c_Relation_Orefl__on(_u13822, _u13824, _u13826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13822, _u13822), tc_HOL_Obool)), _u13826), hAPP(hAPP(c_Product__Type_OSigma(_u13822, _u13822), _u13824), hAPP(c_COMBK(tc_fun(_u13822, tc_HOL_Obool), _u13822), _u13824)))) )).
% 12.29/12.54 cnf(matrix-6197, plain, ( ~c_Relation_Orefl__on(_u13822, _u13824, _u13826) | ~hBOOL(hAPP(hAPP(c_member(_u13822), _u13817), _u13824)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13822, _u13822)), hAPP(hAPP(c_Product__Type_OPair(_u13822, _u13822), _u13817), _u13817)), _u13826)) )).
% 12.29/12.54 cnf(matrix-6198, plain, ( c_Relation_Orefl__on(_u13823, _u13825, _u13827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13823, _u13823), tc_HOL_Obool)), _u13827), hAPP(hAPP(c_Product__Type_OSigma(_u13823, _u13823), _u13825), hAPP(c_COMBK(tc_fun(_u13823, tc_HOL_Obool), _u13823), _u13825)))) | hBOOL(hAPP(hAPP(c_member(_u13823), skolem350(_u13827, _u13825, _u13823)), _u13825)) )).
% 12.29/12.54 cnf(matrix-6199, plain, ( c_Relation_Orefl__on(_u13823, _u13825, _u13827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13823, _u13823), tc_HOL_Obool)), _u13827), hAPP(hAPP(c_Product__Type_OSigma(_u13823, _u13823), _u13825), hAPP(c_COMBK(tc_fun(_u13823, tc_HOL_Obool), _u13823), _u13825)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13823, _u13823)), hAPP(hAPP(c_Product__Type_OPair(_u13823, _u13823), skolem350(_u13827, _u13825, _u13823)), skolem350(_u13827, _u13825, _u13823))), _u13827)) )).
% 12.29/12.54 cnf(matrix-6200, plain, ( ~c_Wellfounded_OwfP(_u13830, _u13832) | c_Wellfounded_Owf(_u13830, hAPP(c_Set_OCollect(tc_prod(_u13830, _u13830)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13830, _u13830, tc_HOL_Obool), _u13832))) )).
% 12.29/12.54 cnf(matrix-6201, plain, ( ~c_Wellfounded_Owf(_u13831, hAPP(c_Set_OCollect(tc_prod(_u13831, _u13831)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13831, _u13831, tc_HOL_Obool), _u13833))) | c_Wellfounded_OwfP(_u13831, _u13833) )).
% 12.29/12.54 cnf(matrix-6202, plain, ( c_Wellfounded_OwfP(_u13834, hAPP(c_COMBK(tc_fun(_u13834, tc_HOL_Obool), _u13834), hAPP(c_COMBK(tc_HOL_Obool, _u13834), c_fFalse))) )).
% 12.29/12.54 cnf(matrix-6203, plain, ( c_Relation_Orefl__on(_u13835, _u13836, c_Relation_OId__on(_u13835, _u13836)) )).
% 12.29/12.54 cnf(matrix-6204, plain, ( ~c_Wellfounded_OwfP(_u13837, _u13838) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13837, _u13838), _u13839)) )).
% 12.29/12.54 cnf(matrix-6205, plain, ( ~c_Wellfounded_OwfP(_u13844, _u13846) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13844, _u13846), _u13840)) )).
% 12.29/12.54 cnf(matrix-6206, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13845, _u13847), skolem351(_u13847, _u13845))) | c_Wellfounded_OwfP(_u13845, _u13847) )).
% 12.29/12.54 cnf(matrix-6207, plain, ( ~c_Wellfounded_OwfP(_u13848, _u13849) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13848, tc_fun(_u13848, tc_HOL_Obool))), _u13850), _u13849)) | c_Wellfounded_OwfP(_u13848, _u13850) )).
% 12.29/12.54 cnf(matrix-6208, plain, ( c_Relation_Orefl__on(_u13851, c_Orderings_Obot__class_Obot(tc_fun(_u13851, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13851, _u13851), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6209, plain, ( ~c_Relation_Orefl__on(_u13852, _u13853, _u13854) | ~c_Relation_Orefl__on(_u13852, _u13855, _u13856) | c_Relation_Orefl__on(_u13852, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13852, tc_HOL_Obool)), _u13853), _u13855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13852, _u13852), tc_HOL_Obool)), _u13854), _u13856)) )).
% 12.29/12.54 cnf(matrix-6210, plain, ( ~c_Relation_Orefl__on(_u13857, _u13858, _u13859) | ~c_Relation_Orefl__on(_u13857, _u13860, _u13861) | c_Relation_Orefl__on(_u13857, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13857, tc_HOL_Obool)), _u13858), _u13860), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13857, _u13857), tc_HOL_Obool)), _u13859), _u13861)) )).
% 12.29/12.54 cnf(matrix-6211, plain, ( ~c_Relation_Orefl__on(_u13862, _u13863, _u13864) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13862, _u13862)), hAPP(hAPP(c_Product__Type_OPair(_u13862, _u13862), _u13865), _u13866)), _u13864)) | hBOOL(hAPP(hAPP(c_member(_u13862), _u13866), _u13863)) )).
% 12.29/12.54 cnf(matrix-6212, plain, ( ~c_Relation_Orefl__on(_u13867, _u13868, _u13869) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13867, _u13867)), hAPP(hAPP(c_Product__Type_OPair(_u13867, _u13867), _u13870), _u13871)), _u13869)) | hBOOL(hAPP(hAPP(c_member(_u13867), _u13870), _u13868)) )).
% 12.29/12.54 cnf(matrix-6213, plain, ( ~c_Relation_Orefl__on(_u13872, _u13873, _u13874) | ~hBOOL(hAPP(hAPP(c_member(_u13872), _u13875), _u13873)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13872, _u13872)), hAPP(hAPP(c_Product__Type_OPair(_u13872, _u13872), _u13875), _u13875)), _u13874)) )).
% 12.29/12.54 cnf(matrix-6214, plain, ( ~c_Wellfounded_Owf(_u13876, _u13877) | c_Wellfounded_OwfP(_u13876, c_FunDef_Oin__rel(_u13876, _u13876, _u13877)) )).
% 12.29/12.54 cnf(matrix-6215, plain, ( ~c_Wellfounded_OwfP(_u13880, hAPP(hAPP(c_COMBC(_u13880, tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_fun(_u13880, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13880, tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_fun(_u13880, tc_HOL_Obool)), _u13880), c_COMBC(_u13880, tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13880, tc_prod(_u13880, _u13880)), tc_fun(_u13880, tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool)), _u13880), hAPP(c_COMBB(tc_prod(_u13880, _u13880), tc_fun(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool), tc_HOL_Obool), _u13880), c_member(tc_prod(_u13880, _u13880)))), c_Product__Type_OPair(_u13880, _u13880)))), _u13882)) | c_Wellfounded_Owf(_u13880, _u13882) )).
% 12.29/12.54 cnf(matrix-6216, plain, ( ~c_Wellfounded_Owf(_u13881, _u13883) | c_Wellfounded_OwfP(_u13881, hAPP(hAPP(c_COMBC(_u13881, tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_fun(_u13881, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13881, tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_fun(_u13881, tc_HOL_Obool)), _u13881), c_COMBC(_u13881, tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13881, tc_prod(_u13881, _u13881)), tc_fun(_u13881, tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool)), _u13881), hAPP(c_COMBB(tc_prod(_u13881, _u13881), tc_fun(tc_fun(tc_prod(_u13881, _u13881), tc_HOL_Obool), tc_HOL_Obool), _u13881), c_member(tc_prod(_u13881, _u13881)))), c_Product__Type_OPair(_u13881, _u13881)))), _u13883)) )).
% 12.29/12.54 cnf(matrix-6217, plain, ( ~c_Predicate_Oreflp(_u13886, _u13888) | c_Relation_Orefl__on(_u13886, c_Orderings_Otop__class_Otop(tc_fun(_u13886, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13886, _u13886)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13886, _u13886, tc_HOL_Obool), _u13888))) )).
% 12.29/12.54 cnf(matrix-6218, plain, ( ~c_Relation_Orefl__on(_u13887, c_Orderings_Otop__class_Otop(tc_fun(_u13887, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u13887, _u13887)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13887, _u13887, tc_HOL_Obool), _u13889))) | c_Predicate_Oreflp(_u13887, _u13889) )).
% 12.29/12.54 cnf(matrix-6219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13891, _u13891), tc_HOL_Obool)), _u13892), hAPP(hAPP(c_Product__Type_OSigma(_u13891, _u13891), _u13893), hAPP(c_COMBK(tc_fun(_u13891, tc_HOL_Obool), _u13891), _u13893)))) | c_Relation_Orefl__on(_u13891, _u13893, _u13892) | hBOOL(hAPP(hAPP(c_member(_u13891), skolem352(_u13893, _u13892, _u13891)), _u13893)) )).
% 12.29/12.54 cnf(matrix-6220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13891, _u13891), tc_HOL_Obool)), _u13892), hAPP(hAPP(c_Product__Type_OSigma(_u13891, _u13891), _u13893), hAPP(c_COMBK(tc_fun(_u13891, tc_HOL_Obool), _u13891), _u13893)))) | c_Relation_Orefl__on(_u13891, _u13893, _u13892) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13891, _u13891)), hAPP(hAPP(c_Product__Type_OPair(_u13891, _u13891), skolem352(_u13893, _u13892, _u13891)), skolem352(_u13893, _u13892, _u13891))), _u13892)) )).
% 12.29/12.54 cnf(matrix-6221, plain, ( ~c_Wellfounded_OwfP(_u13894, _u13895) | c_Wellfounded_Oacyclic(_u13894, hAPP(c_Set_OCollect(tc_prod(_u13894, _u13894)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13894, _u13894, tc_HOL_Obool), _u13895))) )).
% 12.29/12.54 cnf(matrix-6222, plain, ( hBOOL(hAPP(hAPP(_u13897, _u13898), _u13898)) | ~c_Predicate_Oreflp(_u13896, _u13897) )).
% 12.29/12.54 cnf(matrix-6223, plain, ( ~c_Wellfounded_Oacyclic(_u13899, _u13900) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13899, _u13899), tc_HOL_Obool)), _u13901), _u13900)) | c_Wellfounded_Oacyclic(_u13899, _u13901) )).
% 12.29/12.54 cnf(matrix-6224, plain, ( ~c_Wellfounded_Owf(_u13902, _u13903) | c_Wellfounded_Oacyclic(_u13902, _u13903) )).
% 12.29/12.54 cnf(matrix-6225, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13904, _u13904)), _u13905)) | ~c_Wellfounded_Owf(_u13904, _u13905) | c_Wellfounded_Oacyclic(_u13904, _u13905) )).
% 12.29/12.54 cnf(matrix-6226, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13904, _u13904)), _u13905)) | ~c_Wellfounded_Oacyclic(_u13904, _u13905) | c_Wellfounded_Owf(_u13904, _u13905) )).
% 12.29/12.54 cnf(matrix-6227, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13906, _u13906)), _u13907)) | ~c_Wellfounded_Oacyclic(_u13906, _u13907) | c_Wellfounded_Owf(_u13906, _u13907) )).
% 12.29/12.54 cnf(matrix-6228, plain, ( ~c_Nitpick_Owf_H(_u13910, _u13912) | c_Wellfounded_Oacyclic(_u13910, _u13912) )).
% 12.29/12.54 cnf(matrix-6229, plain, ( ~c_Nitpick_Owf_H(_u13910, _u13912) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13910, _u13910)), _u13912)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.29/12.54 cnf(matrix-6230, plain, ( c_Nitpick_Owf_H(_u13911, _u13913) | ~c_Wellfounded_Oacyclic(_u13911, _u13913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13911, _u13911)), _u13913)) )).
% 12.29/12.54 cnf(matrix-6231, plain, ( c_Nitpick_Owf_H(_u13911, _u13913) | ~c_Wellfounded_Oacyclic(_u13911, _u13913) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 12.29/12.54 cnf(matrix-6232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13915), c_Int_OInteg)) | ~hBOOL(hAPP(_u13916, hAPP(c_Int_ORep__Integ, skolem353(_u13916, _u13915)))) | hBOOL(hAPP(_u13916, _u13915)) )).
% 12.29/12.54 cnf(matrix-6233, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u13918), c_Int_OInteg)) | ( _u13918 = hAPP(c_Int_ORep__Integ, skolem354(_u13918))) )).
% 12.29/12.54 cnf(matrix-6234, plain, ( ~c_Relation_Orefl__on(_u13926, _u13928, _u13930) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13926, _u13926)), _u13919), _u13930)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13926, _u13926, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13926, tc_fun(_u13926, tc_HOL_Obool), tc_fun(_u13926, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13926, tc_HOL_Obool), tc_fun(_u13926, tc_HOL_Obool)), _u13926), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13926)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13926), c_fconj), hAPP(hAPP(c_COMBC(_u13926, tc_fun(_u13926, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13926)), _u13928)))), hAPP(hAPP(c_COMBC(_u13926, tc_fun(_u13926, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13926)), _u13928))), _u13919)) )).
% 12.29/12.54 cnf(matrix-6235, plain, ( ~c_Relation_Orefl__on(_u13926, _u13928, _u13930) | ~hBOOL(hAPP(hAPP(c_member(_u13926), _u13920), _u13928)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13926, _u13926)), hAPP(hAPP(c_Product__Type_OPair(_u13926, _u13926), _u13920), _u13920)), _u13930)) )).
% 12.29/12.54 cnf(matrix-6236, plain, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), skolem355(_u13931, _u13929, _u13927)), _u13931)) | hBOOL(hAPP(hAPP(c_member(_u13927), skolem356(_u13931, _u13929, _u13927)), _u13929)) )).
% 12.29/12.54 cnf(matrix-6237, plain, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), skolem355(_u13931, _u13929, _u13927)), _u13931)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), hAPP(hAPP(c_Product__Type_OPair(_u13927, _u13927), skolem356(_u13931, _u13929, _u13927)), skolem356(_u13931, _u13929, _u13927))), _u13931)) )).
% 12.29/12.54 cnf(matrix-6238, plain, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13927, _u13927, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), _u13927), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13927)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13927), c_fconj), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929)))), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929))), skolem355(_u13931, _u13929, _u13927))) | hBOOL(hAPP(hAPP(c_member(_u13927), skolem356(_u13931, _u13929, _u13927)), _u13929)) )).
% 12.29/12.54 cnf(matrix-6239, plain, ( c_Relation_Orefl__on(_u13927, _u13929, _u13931) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13927, _u13927, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13927, tc_HOL_Obool), tc_fun(_u13927, tc_HOL_Obool)), _u13927), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13927)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13927), c_fconj), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929)))), hAPP(hAPP(c_COMBC(_u13927, tc_fun(_u13927, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13927)), _u13929))), skolem355(_u13931, _u13929, _u13927))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13927, _u13927)), hAPP(hAPP(c_Product__Type_OPair(_u13927, _u13927), skolem356(_u13931, _u13929, _u13927)), skolem356(_u13931, _u13929, _u13927))), _u13931)) )).
% 12.29/12.54 cnf(matrix-6240, plain, ( hBOOL(hAPP(_u13933, _u13934)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem357(_u13934, _u13933)), c_Int_OInteg)) )).
% 12.29/12.54 cnf(matrix-6241, plain, ( hBOOL(hAPP(_u13933, _u13934)) | ~hBOOL(hAPP(_u13933, hAPP(c_Int_OAbs__Integ, skolem357(_u13934, _u13933)))) )).
% 12.29/12.54 cnf(matrix-6242, plain, ( ( _u13936 = hAPP(c_Int_OAbs__Integ, skolem358(_u13936))) )).
% 12.29/12.54 cnf(matrix-6243, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem358(_u13936)), c_Int_OInteg)) )).
% 12.29/12.54 cnf(matrix-6244, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13942, _u13944), _u13946)) | ~hBOOL(hAPP(hAPP(c_member(_u13942), _u13937), _u13946)) | hBOOL(hAPP(_u13944, _u13937)) )).
% 12.29/12.54 cnf(matrix-6245, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13943, _u13945), _u13947)) | hBOOL(hAPP(hAPP(c_member(_u13943), skolem359(_u13947, _u13945, _u13943)), _u13947)) )).
% 12.29/12.54 cnf(matrix-6246, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13943, _u13945), _u13947)) | ~hBOOL(hAPP(_u13945, skolem359(_u13947, _u13945, _u13943))) )).
% 12.29/12.54 cnf(matrix-6247, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13948, tc_HOL_Obool) = c_Set_OBall(_u13948)) )).
% 12.29/12.54 cnf(matrix-6248, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13950), _u13949), c_Orderings_Obot__class_Obot(tc_fun(_u13950, tc_HOL_Obool)))) | hBOOL(hAPP(_u13951, _u13949)) )).
% 12.29/12.54 cnf(matrix-6249, plain, ( ( hAPP(c_Set_OCollect(_u13952), hAPP(hAPP(c_COMBB(tc_fun(_u13953, tc_HOL_Obool), tc_HOL_Obool, _u13952), c_HOL_OAll(_u13953)), hAPP(hAPP(c_COMBB(tc_fun(_u13953, tc_HOL_Obool), tc_fun(_u13953, tc_HOL_Obool), _u13952), hAPP(c_COMBS(_u13953, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13953), c_fimplies), hAPP(hAPP(c_COMBC(_u13953, tc_fun(_u13953, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13953)), _u13954)))), _u13955))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13953, tc_fun(_u13952, tc_HOL_Obool)), _u13954), hAPP(hAPP(c_COMBB(tc_fun(_u13952, tc_HOL_Obool), tc_fun(_u13952, tc_HOL_Obool), _u13953), c_Set_OCollect(_u13952)), hAPP(c_COMBC(_u13952, _u13953, tc_HOL_Obool), _u13955)))) )).
% 12.29/12.54 cnf(matrix-6250, plain, ( ~c_Equiv__Relations_Ocongruent(_u13962, _u13964, _u13966, _u13968) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13962, _u13962)), _u13956), _u13966)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13962, _u13962, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13962, tc_fun(_u13962, _u13964), tc_fun(_u13962, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13964, tc_HOL_Obool), tc_fun(tc_fun(_u13962, _u13964), tc_fun(_u13962, tc_HOL_Obool)), _u13962), c_COMBB(_u13964, tc_HOL_Obool, _u13962)), hAPP(hAPP(c_COMBB(_u13964, tc_fun(_u13964, tc_HOL_Obool), _u13962), c_fequal), _u13968))), _u13968)), _u13956)) )).
% 12.29/12.54 cnf(matrix-6251, plain, ( c_Equiv__Relations_Ocongruent(_u13963, _u13965, _u13967, _u13969) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13963, _u13963)), skolem360(_u13969, _u13967, _u13965, _u13963)), _u13967)) )).
% 12.29/12.54 cnf(matrix-6252, plain, ( c_Equiv__Relations_Ocongruent(_u13963, _u13965, _u13967, _u13969) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13963, _u13963, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13963, tc_fun(_u13963, _u13965), tc_fun(_u13963, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13965, tc_HOL_Obool), tc_fun(tc_fun(_u13963, _u13965), tc_fun(_u13963, tc_HOL_Obool)), _u13963), c_COMBB(_u13965, tc_HOL_Obool, _u13963)), hAPP(hAPP(c_COMBB(_u13965, tc_fun(_u13965, tc_HOL_Obool), _u13963), c_fequal), _u13969))), _u13969)), skolem360(_u13969, _u13967, _u13965, _u13963))) )).
% 12.29/12.54 cnf(matrix-6253, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13970, tc_fun(_u13971, tc_HOL_Obool)), _u13972), _u13973) = hAPP(c_Set_OCollect(_u13971), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_HOL_Obool), tc_HOL_Obool, _u13971), c_HOL_OAll(_u13970)), hAPP(hAPP(c_COMBB(tc_fun(_u13970, tc_HOL_Obool), tc_fun(_u13970, tc_HOL_Obool), _u13971), hAPP(c_COMBS(_u13970, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13970), c_fimplies), hAPP(hAPP(c_COMBC(_u13970, tc_fun(_u13970, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13970)), _u13972)))), hAPP(hAPP(c_COMBC(_u13971, tc_fun(_u13970, tc_fun(_u13971, tc_HOL_Obool)), tc_fun(_u13970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13971, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13970, tc_fun(_u13971, tc_HOL_Obool)), tc_fun(_u13970, tc_HOL_Obool)), _u13971), c_COMBB(tc_fun(_u13971, tc_HOL_Obool), tc_HOL_Obool, _u13970)), c_member(_u13971))), _u13973))))) )).
% 12.29/12.54 cnf(matrix-6254, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13974) | ( c_Complete__Lattice_OInf__class_OInf(_u13974, _u13975) = c_Complete__Lattice_OSup__class_OSup(_u13974, hAPP(c_Set_OCollect(_u13974), hAPP(hAPP(c_COMBB(tc_fun(_u13974, tc_HOL_Obool), tc_HOL_Obool, _u13974), c_HOL_OAll(_u13974)), hAPP(hAPP(c_COMBB(tc_fun(_u13974, tc_HOL_Obool), tc_fun(_u13974, tc_HOL_Obool), _u13974), hAPP(c_COMBS(_u13974, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13974), c_fimplies), hAPP(hAPP(c_COMBC(_u13974, tc_fun(_u13974, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13974)), _u13975)))), c_Orderings_Oord__class_Oless__eq(_u13974)))))) )).
% 12.29/12.54 cnf(matrix-6255, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13976) | ( c_Complete__Lattice_OSup__class_OSup(_u13976, _u13977) = c_Complete__Lattice_OInf__class_OInf(_u13976, hAPP(c_Set_OCollect(_u13976), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_HOL_Obool), tc_HOL_Obool, _u13976), c_HOL_OAll(_u13976)), hAPP(hAPP(c_COMBB(tc_fun(_u13976, tc_HOL_Obool), tc_fun(_u13976, tc_HOL_Obool), _u13976), hAPP(c_COMBS(_u13976, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13976), c_fimplies), hAPP(hAPP(c_COMBC(_u13976, tc_fun(_u13976, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13976)), _u13977)))), hAPP(c_COMBC(_u13976, _u13976, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13976))))))) )).
% 12.29/12.54 cnf(matrix-6256, plain, ( ~c_Wellfounded_OwfP(_u13981, hAPP(_u13982, skolem361(_u13983, _u13982, _u13981))) | c_Wellfounded_OwfP(_u13981, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13983, tc_fun(_u13981, tc_fun(_u13981, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13983, tc_HOL_Obool))), _u13982)) | ( hAPP(_u13982, skolem362(_u13983, _u13982, _u13981)) != hAPP(_u13982, skolem363(_u13983, _u13982, _u13981))) )).
% 12.29/12.54 cnf(matrix-6257, plain, ( ~c_Wellfounded_OwfP(_u13981, hAPP(_u13982, skolem361(_u13983, _u13982, _u13981))) | c_Wellfounded_OwfP(_u13981, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13983, tc_fun(_u13981, tc_fun(_u13981, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13983, tc_HOL_Obool))), _u13982)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13981, tc_HOL_Obool)), c_Predicate_ODomainP(_u13981, _u13981, hAPP(_u13982, skolem362(_u13983, _u13982, _u13981)))), c_Predicate_ORangeP(_u13981, _u13981, hAPP(_u13982, skolem363(_u13983, _u13982, _u13981)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13981, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13986), _u13987), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13988, _u13989, tc_fun(_u13986, tc_HOL_Obool)), _u13990), _u13991))) | ( _u13991 = hAPP(hAPP(c_Product__Type_OPair(_u13988, _u13989), skolem364(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986)), skolem365(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986))) )).
% 12.29/12.54 cnf(matrix-6259, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13986), _u13987), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13988, _u13989, tc_fun(_u13986, tc_HOL_Obool)), _u13990), _u13991))) | hBOOL(hAPP(hAPP(c_member(_u13986), _u13987), hAPP(hAPP(_u13990, skolem364(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986)), skolem365(_u13991, _u13990, _u13989, _u13988, _u13987, _u13986)))) )).
% 12.29/12.54 cnf(matrix-6260, plain, ( hBOOL(hAPP(hAPP(c_member(_u13997), _u13998), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13995, _u13996, tc_fun(_u13997, tc_HOL_Obool)), _u13999), _u13994))) | ( _u13994 = hAPP(hAPP(c_Product__Type_OPair(_u13995, _u13996), skolem366(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994)), skolem367(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994))) )).
% 12.29/12.54 cnf(matrix-6261, plain, ( hBOOL(hAPP(hAPP(c_member(_u13997), _u13998), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13995, _u13996, tc_fun(_u13997, tc_HOL_Obool)), _u13999), _u13994))) | ~hBOOL(hAPP(hAPP(c_member(_u13997), _u13998), hAPP(hAPP(_u13999, skolem366(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994)), skolem367(_u13999, _u13998, _u13997, _u13996, _u13995, _u13994)))) )).
% 12.29/12.54 cnf(matrix-6262, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u14000, tc_HOL_Obool), _u14001) = hAPP(c_Set_OCollect(_u14000), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u14000), c_HOL_OAll(tc_fun(_u14000, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), _u14000), hAPP(c_COMBS(tc_fun(_u14000, 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(_u14000, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u14000, tc_HOL_Obool), tc_fun(tc_fun(_u14000, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u14000, tc_HOL_Obool))), _u14001)))), c_member(_u14000))))) )).
% 12.29/12.54 cnf(matrix-6263, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14002, _u14003), hAPP(c_Product__Type_Oprod_Oprod__case(_u14002, _u14003, tc_HOL_Obool), _u14004)) = c_Hilbert__Choice_OEps(tc_prod(_u14002, _u14003), hAPP(hAPP(c_COMBS(tc_prod(_u14002, _u14003), _u14003, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u14002, tc_fun(_u14003, tc_HOL_Obool), tc_prod(_u14002, _u14003)), _u14004), c_Product__Type_Ofst(_u14002, _u14003))), c_Product__Type_Osnd(_u14002, _u14003)))) )).
% 12.29/12.54 cnf(matrix-6264, plain, ( c_Wellfounded_Owf(_u14006, _u14007) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14006, tc_HOL_Obool)), skolem368(_u14007, _u14006)), hAPP(c_Relation_OImage(_u14006, _u14006, _u14007), skolem368(_u14007, _u14006)))) )).
% 12.29/12.54 cnf(matrix-6265, plain, ( c_Wellfounded_Owf(_u14006, _u14007) | ( skolem368(_u14007, _u14006) != c_Orderings_Obot__class_Obot(tc_fun(_u14006, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14009, tc_HOL_Obool)), _u14010), _u14011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14009, _u14012), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14010), _u14013)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14011), _u14014))) | hBOOL(hAPP(hAPP(c_member(_u14009), skolem369(_u14014, _u14013, _u14012, _u14011, _u14010, _u14009)), _u14010)) )).
% 12.29/12.54 cnf(matrix-6267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14009, tc_HOL_Obool)), _u14010), _u14011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14009, _u14012), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14010), _u14013)), hAPP(hAPP(c_Product__Type_OSigma(_u14009, _u14012), _u14011), _u14014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14012, tc_HOL_Obool)), hAPP(_u14013, skolem369(_u14014, _u14013, _u14012, _u14011, _u14010, _u14009))), hAPP(_u14014, skolem369(_u14014, _u14013, _u14012, _u14011, _u14010, _u14009)))) )).
% 12.29/12.54 cnf(matrix-6268, plain, ( ( c_Hilbert__Choice_OEps(_u14015, hAPP(c_fequal, _u14016)) = _u14016) )).
% 12.29/12.54 cnf(matrix-6269, plain, ( ( c_Hilbert__Choice_OEps(_u14017, hAPP(hAPP(c_COMBC(_u14017, _u14017, tc_HOL_Obool), c_fequal), _u14018)) = _u14018) )).
% 12.29/12.54 cnf(matrix-6270, plain, ( ~hBOOL(hAPP(_u14023, c_Hilbert__Choice_OEps(_u14025, _u14023))) | hBOOL(hAPP(_u14023, skolem370(_u14025, _u14023))) )).
% 12.29/12.54 cnf(matrix-6271, plain, ( ~hBOOL(hAPP(_u14024, _u14020)) | hBOOL(hAPP(_u14024, c_Hilbert__Choice_OEps(_u14026, _u14024))) )).
% 12.29/12.54 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(_u14028, _u14027)) | hBOOL(hAPP(_u14028, c_Hilbert__Choice_OEps(_u14029, _u14028))) )).
% 12.29/12.54 cnf(matrix-6273, plain, ( ~hBOOL(hAPP(_u14030, _u14031)) | hBOOL(hAPP(_u14030, c_Hilbert__Choice_OEps(_u14032, _u14030))) )).
% 12.29/12.54 cnf(matrix-6274, plain, ( ~hBOOL(hAPP(_u14034, _u14033)) | hBOOL(hAPP(_u14034, c_Hilbert__Choice_OEps(_u14035, _u14034))) )).
% 12.29/12.54 cnf(matrix-6275, plain, ( ~hBOOL(hAPP(_u14037, _u14036)) | ( _u14038 != c_Hilbert__Choice_OEps(_u14039, _u14037)) | hBOOL(hAPP(_u14037, _u14038)) )).
% 12.29/12.54 cnf(matrix-6276, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14040, _u14041), _u14042) = c_Hilbert__Choice_OEps(tc_prod(_u14040, _u14041), hAPP(c_Product__Type_Oprod_Oprod__case(_u14040, _u14041, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14041, tc_prod(_u14040, _u14041)), tc_fun(_u14041, tc_HOL_Obool), _u14040), hAPP(c_COMBB(tc_prod(_u14040, _u14041), tc_HOL_Obool, _u14041), _u14042)), c_Product__Type_OPair(_u14040, _u14041))))) )).
% 12.29/12.54 cnf(matrix-6277, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u14043, _u14044), hAPP(c_Product__Type_Oprod_Oprod__case(_u14043, _u14044, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14043, tc_fun(_u14044, tc_HOL_Obool), tc_fun(_u14044, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14044, tc_HOL_Obool), tc_fun(_u14044, tc_HOL_Obool)), _u14043), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14044)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14043), c_fconj), hAPP(c_fequal, _u14045)))), hAPP(c_fequal, _u14046)))) = hAPP(hAPP(c_Product__Type_OPair(_u14043, _u14044), _u14045), _u14046)) )).
% 12.29/12.54 cnf(matrix-6278, plain, ( hBOOL(hAPP(hAPP(c_member(_u14048), _u14049), c_Wellfounded_Oacc(_u14048, _u14050))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14048, _u14048)), hAPP(hAPP(c_Product__Type_OPair(_u14048, _u14048), skolem371(_u14050, _u14049, _u14048)), _u14049)), _u14050)) )).
% 12.29/12.54 cnf(matrix-6279, plain, ( hBOOL(hAPP(hAPP(c_member(_u14048), _u14049), c_Wellfounded_Oacc(_u14048, _u14050))) | ~hBOOL(hAPP(hAPP(c_member(_u14048), skolem371(_u14050, _u14049, _u14048)), c_Wellfounded_Oacc(_u14048, _u14050))) )).
% 12.29/12.54 cnf(matrix-6280, plain, ( hBOOL(hAPP(hAPP(c_member(_u14052), _u14053), c_Wellfounded_Oacc(_u14052, _u14054))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14052, _u14052)), hAPP(hAPP(c_Product__Type_OPair(_u14052, _u14052), skolem372(_u14054, _u14053, _u14052)), _u14053)), _u14054)) )).
% 12.29/12.54 cnf(matrix-6281, plain, ( hBOOL(hAPP(hAPP(c_member(_u14052), _u14053), c_Wellfounded_Oacc(_u14052, _u14054))) | ~hBOOL(hAPP(hAPP(c_member(_u14052), skolem372(_u14054, _u14053, _u14052)), c_Wellfounded_Oacc(_u14052, _u14054))) )).
% 12.29/12.54 cnf(matrix-6282, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14063), _u14065)) )).
% 12.29/12.54 cnf(matrix-6283, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14063), _u14067)) )).
% 12.29/12.54 cnf(matrix-6284, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | ( _u14067 != c_Orderings_Obot__class_Obot(tc_fun(_u14063, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6285, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | ~hBOOL(hAPP(hAPP(c_member(_u14063), _u14056), _u14065)) | hBOOL(hAPP(hAPP(c_member(_u14063), skolem373(_u14069, _u14067, _u14065, _u14063, _u14056)), _u14067)) )).
% 12.29/12.54 cnf(matrix-6286, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14063, tc_HOL_Obool), tc_fun(_u14063, tc_HOL_Obool)), _u14065), _u14067)), c_Wellfounded_Omax__ext(_u14063, _u14069))) | ~hBOOL(hAPP(hAPP(c_member(_u14063), _u14056), _u14065)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14063, _u14063)), hAPP(hAPP(c_Product__Type_OPair(_u14063, _u14063), _u14056), skolem373(_u14069, _u14067, _u14065, _u14063, _u14056))), _u14069)) )).
% 12.29/12.54 cnf(matrix-6287, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool)), _u14066), _u14068)), c_Wellfounded_Omax__ext(_u14064, _u14070))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14066)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14068)) | ( _u14068 = c_Orderings_Obot__class_Obot(tc_fun(_u14064, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14064), skolem374(_u14070, _u14068, _u14066, _u14064)), _u14066)) )).
% 12.29/12.54 cnf(matrix-6288, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u14064, tc_HOL_Obool), tc_fun(_u14064, tc_HOL_Obool)), _u14066), _u14068)), c_Wellfounded_Omax__ext(_u14064, _u14070))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14066)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14064), _u14068)) | ( _u14068 = c_Orderings_Obot__class_Obot(tc_fun(_u14064, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14064), _u14057), _u14068)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14064, _u14064)), hAPP(hAPP(c_Product__Type_OPair(_u14064, _u14064), skolem374(_u14070, _u14068, _u14066, _u14064)), _u14057)), _u14070)) )).
% 12.29/12.54 cnf(matrix-6289, plain, ( ~c_Wellfounded_Owf(_u14072, _u14073) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), hAPP(_u14074, hAPP(c_Nat_OSuc, skolem375(_u14074, _u14073, _u14072)))), hAPP(_u14074, skolem375(_u14074, _u14073, _u14072)))), _u14073)) )).
% 12.29/12.54 cnf(matrix-6290, plain, ( ~class_Groups_Ocomm__monoid__add(_u14076) | ~c_Fun_Oinj__on(_u14077, _u14078, _u14079, _u14080) | ( _u14081 != hAPP(c_Set_Oimage(_u14077, _u14078, _u14079), _u14080)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14078, _u14076), _u14083), _u14081) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14077, _u14076), _u14082), _u14080)) | hBOOL(hAPP(hAPP(c_member(_u14077), skolem376(_u14083, _u14082, _u14081, _u14080, _u14079, _u14078, _u14077, _u14076)), _u14080)) )).
% 12.29/12.54 cnf(matrix-6291, plain, ( ~class_Groups_Ocomm__monoid__add(_u14076) | ~c_Fun_Oinj__on(_u14077, _u14078, _u14079, _u14080) | ( _u14081 != hAPP(c_Set_Oimage(_u14077, _u14078, _u14079), _u14080)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14078, _u14076), _u14083), _u14081) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14077, _u14076), _u14082), _u14080)) | ( hAPP(_u14082, skolem376(_u14083, _u14082, _u14081, _u14080, _u14079, _u14078, _u14077, _u14076)) != hAPP(_u14083, hAPP(_u14079, skolem376(_u14083, _u14082, _u14081, _u14080, _u14079, _u14078, _u14077, _u14076)))) )).
% 12.29/12.54 cnf(matrix-6292, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14084, _u14085, _u14086, _u14087), _u14088), _u14089), _u14090) = hAPP(hAPP(_u14089, hAPP(c_Product__Type_Ofst(_u14085, _u14086), hAPP(_u14088, _u14090))), hAPP(c_Product__Type_Osnd(_u14085, _u14086), hAPP(_u14088, _u14090)))) )).
% 12.29/12.54 cnf(matrix-6293, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14091, _u14092, _u14093, tc_prod(_u14092, _u14093)), _u14094), c_Product__Type_OPair(_u14092, _u14093)) = _u14094) )).
% 12.29/12.54 cnf(matrix-6294, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14095, _u14096, _u14095, _u14097), hAPP(c_Product__Type_OPair(_u14096, _u14095), _u14098)), _u14099) = hAPP(_u14099, _u14098)) )).
% 12.29/12.54 cnf(matrix-6295, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u14100, _u14101, _u14102, _u14103), hAPP(hAPP(c_Product__Type_Oscomp(_u14100, _u14104, _u14105, tc_prod(_u14101, _u14102)), _u14106), _u14107)), _u14108) = hAPP(hAPP(c_Product__Type_Oscomp(_u14100, _u14104, _u14105, _u14103), _u14106), hAPP(hAPP(c_COMBC(_u14104, tc_fun(_u14101, tc_fun(_u14102, _u14103)), tc_fun(_u14105, _u14103)), hAPP(hAPP(c_COMBB(tc_fun(_u14105, tc_prod(_u14101, _u14102)), tc_fun(tc_fun(_u14101, tc_fun(_u14102, _u14103)), tc_fun(_u14105, _u14103)), _u14104), c_Product__Type_Oscomp(_u14105, _u14101, _u14102, _u14103)), _u14107)), _u14108))) )).
% 12.29/12.54 cnf(matrix-6296, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14109, _u14110, _u14111, _u14112), _u14113), _u14114), _u14115) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14110, _u14111, _u14112), _u14114), hAPP(_u14113, _u14115))) )).
% 12.29/12.54 cnf(matrix-6297, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u14116, _u14117, _u14118, _u14119), _u14120), _u14121), _u14122) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u14117, _u14118, _u14119), _u14121), hAPP(_u14120, _u14122))) )).
% 12.29/12.54 cnf(matrix-6298, plain, ( ( _u14128 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14130, _u14132, _u14128, _u14134), _u14136) = hAPP(c_Product__Type_OPair(_u14130, _u14132), _u14136)) )).
% 12.29/12.54 cnf(matrix-6299, plain, ( ( _u14129 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u14131, _u14133, _u14129, _u14135), _u14137) = hAPP(hAPP(c_Product__Type_Oscomp(_u14133, _u14131, _u14133, tc_prod(_u14131, _u14133)), hAPP(_u14135, _u14137)), c_Random_Oiterate(_u14131, _u14133, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14129), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u14135))) )).
% 12.29/12.54 cnf(matrix-6300, plain, ( ~class_Groups_Ocomm__monoid__add(_u14139) | ~class_Orderings_Oord(_u14140) | ( _u14141 != _u14142) | ( _u14143 != _u14144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14145), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14141), _u14143)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14146), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14142), _u14144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14140), _u14142), skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139))) )).
% 12.29/12.54 cnf(matrix-6301, plain, ( ~class_Groups_Ocomm__monoid__add(_u14139) | ~class_Orderings_Oord(_u14140) | ( _u14141 != _u14142) | ( _u14143 != _u14144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14145), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14141), _u14143)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14146), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14142), _u14144))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14140), skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139)), _u14144)) )).
% 12.29/12.54 cnf(matrix-6302, plain, ( ~class_Groups_Ocomm__monoid__add(_u14139) | ~class_Orderings_Oord(_u14140) | ( _u14141 != _u14142) | ( _u14143 != _u14144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14145), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14141), _u14143)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u14140, _u14139), _u14146), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u14140, _u14142), _u14144))) | ( hAPP(_u14145, skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139)) != hAPP(_u14146, skolem377(_u14146, _u14145, _u14144, _u14143, _u14142, _u14141, _u14140, _u14139))) )).
% 12.29/12.54 cnf(matrix-6303, plain, ( ( c_Random_Olog(_u14149, _u14151) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14149), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.29/12.54 cnf(matrix-6304, plain, ( ( c_Random_Olog(_u14149, _u14151) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14151), _u14149)) )).
% 12.29/12.54 cnf(matrix-6305, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14150), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14152), _u14150)) | ( c_Random_Olog(_u14150, _u14152) = 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(_u14150, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u14152), _u14150)))) )).
% 12.29/12.54 cnf(matrix-6306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14156), _u14158)) | ( c_Random_Ominus__shift(_u14160, _u14156, _u14158) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14160), _u14156)), _u14158)) )).
% 12.29/12.54 cnf(matrix-6307, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14157), _u14159)) | ( c_Random_Ominus__shift(_u14161, _u14157, _u14159) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14157), _u14159)) )).
% 12.29/12.54 cnf(matrix-6308, plain, ( ( _u14164 != _u14166) | ( c_Random_Oinc__shift(_u14164, _u14166) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.54 cnf(matrix-6309, plain, ( ( _u14165 = _u14167) | ( c_Random_Oinc__shift(_u14165, _u14167) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14167), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 12.29/12.54 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14168)) | 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(_u14168), _u14169))), _u14168)) )).
% 12.29/12.54 cnf(matrix-6311, 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), _u14172), _u14174)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14172), _u14174)) )).
% 12.29/12.54 cnf(matrix-6312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14173), _u14175)) | 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), _u14173), _u14175)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.29/12.54 cnf(matrix-6313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem378(_u14181, _u14180, _u14179, _u14178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem379(_u14181, _u14180, _u14179, _u14178))) )).
% 12.29/12.54 cnf(matrix-6314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem378(_u14181, _u14180, _u14179, _u14178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem379(_u14181, _u14180, _u14179, _u14178)), _u14179)) )).
% 12.29/12.54 cnf(matrix-6315, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem378(_u14181, _u14180, _u14179, _u14178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | ( hAPP(_u14180, skolem379(_u14181, _u14180, _u14179, _u14178)) = _u14181) )).
% 12.29/12.54 cnf(matrix-6316, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem379(_u14181, _u14180, _u14179, _u14178))) )).
% 12.29/12.54 cnf(matrix-6317, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem379(_u14181, _u14180, _u14179, _u14178)), _u14179)) )).
% 12.29/12.54 cnf(matrix-6318, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | ( hAPP(_u14180, skolem379(_u14181, _u14180, _u14179, _u14178)) = _u14181) )).
% 12.29/12.54 cnf(matrix-6319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u14180, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14180, skolem378(_u14181, _u14180, _u14179, _u14178))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14178), skolem379(_u14181, _u14180, _u14179, _u14178))) )).
% 12.29/12.54 cnf(matrix-6320, 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(_u14180, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14180, skolem378(_u14181, _u14180, _u14179, _u14178))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem379(_u14181, _u14180, _u14179, _u14178)), _u14179)) )).
% 12.29/12.54 cnf(matrix-6321, 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(_u14180, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem378(_u14181, _u14180, _u14179, _u14178)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14180, skolem378(_u14181, _u14180, _u14179, _u14178))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14178), _u14179)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14180, _u14178)), _u14181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14181), hAPP(_u14180, _u14179))) | ( hAPP(_u14180, skolem379(_u14181, _u14180, _u14179, _u14178)) = _u14181) )).
% 12.29/12.54 cnf(matrix-6322, plain, ( ~c_Wellfounded_Owf(_u14182, _u14183) | c_Wellfounded_Owf(_u14182, c_Transitive__Closure_Otrancl(_u14182, _u14183)) )).
% 12.29/12.54 cnf(matrix-6323, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 12.29/12.54 cnf(matrix-6324, plain, ( ~c_Wellfounded_Oacyclic(_u14188, _u14190) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14188, _u14188)), hAPP(hAPP(c_Product__Type_OPair(_u14188, _u14188), _u14184), _u14184)), c_Transitive__Closure_Otrancl(_u14188, _u14190))) )).
% 12.29/12.54 cnf(matrix-6325, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), skolem380(_u14191, _u14189)), skolem380(_u14191, _u14189))), c_Transitive__Closure_Otrancl(_u14189, _u14191))) | c_Wellfounded_Oacyclic(_u14189, _u14191) )).
% 12.29/12.54 cnf(matrix-6326, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14192, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14192, _u14192), _u14193), _u14194)), _u14195)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14192, _u14192)), hAPP(hAPP(c_Product__Type_OPair(_u14192, _u14192), _u14193), _u14194)), c_Transitive__Closure_Otrancl(_u14192, _u14195))) )).
% 12.29/12.54 cnf(matrix-6327, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14196, _u14196), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14196, _u14197)), hAPP(hAPP(c_Product__Type_OSigma(_u14196, _u14196), hAPP(c_Relation_OField(_u14196), _u14197)), hAPP(c_COMBK(tc_fun(_u14196, tc_HOL_Obool), _u14196), hAPP(c_Relation_OField(_u14196), _u14197))))) )).
% 12.29/12.54 cnf(matrix-6328, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), _u14199), _u14200)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), _u14199), c_Transitive__Closure_Otrancl(_u14198, _u14200))) )).
% 12.29/12.54 cnf(matrix-6329, plain, ( ( c_Transitive__Closure_Otrancl(_u14201, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14201, _u14201), tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6330, plain, ( ( hAPP(c_Relation_ODomain(_u14202, _u14202), c_Transitive__Closure_Otrancl(_u14202, _u14203)) = hAPP(c_Relation_ODomain(_u14202, _u14202), _u14203)) )).
% 12.29/12.54 cnf(matrix-6331, plain, ( ( hAPP(c_Relation_ORange(_u14204, _u14204), c_Transitive__Closure_Otrancl(_u14204, _u14205)) = hAPP(c_Relation_ORange(_u14204, _u14204), _u14205)) )).
% 12.29/12.54 cnf(matrix-6332, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14208, _u14208)), c_Transitive__Closure_Otrancl(_u14208, _u14210))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14208, _u14208)), _u14210)) )).
% 12.29/12.54 cnf(matrix-6333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14209, _u14209)), _u14211)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14209, _u14209)), c_Transitive__Closure_Otrancl(_u14209, _u14211))) )).
% 12.29/12.54 cnf(matrix-6334, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14212, _u14212)), hAPP(hAPP(c_Product__Type_OPair(_u14212, _u14212), _u14213), _u14214)), c_Transitive__Closure_Otrancl(_u14212, _u14215))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14212, _u14212)), hAPP(hAPP(c_Product__Type_OPair(_u14212, _u14212), _u14214), _u14216)), c_Transitive__Closure_Otrancl(_u14212, _u14215))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14212, _u14212)), hAPP(hAPP(c_Product__Type_OPair(_u14212, _u14212), _u14213), _u14216)), c_Transitive__Closure_Otrancl(_u14212, _u14215))) )).
% 12.29/12.54 cnf(matrix-6335, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14217, _u14217)), hAPP(hAPP(c_Product__Type_OPair(_u14217, _u14217), _u14218), _u14219)), c_Transitive__Closure_Otrancl(_u14217, _u14220))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14217, _u14217)), hAPP(hAPP(c_Product__Type_OPair(_u14217, _u14217), _u14219), _u14221)), _u14220)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14217, _u14217)), hAPP(hAPP(c_Product__Type_OPair(_u14217, _u14217), _u14218), _u14221)), c_Transitive__Closure_Otrancl(_u14217, _u14220))) )).
% 12.29/12.54 cnf(matrix-6336, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14222, _u14222)), hAPP(hAPP(c_Product__Type_OPair(_u14222, _u14222), _u14223), _u14224)), _u14225)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14222, _u14222)), hAPP(hAPP(c_Product__Type_OPair(_u14222, _u14222), _u14224), _u14226)), c_Transitive__Closure_Otrancl(_u14222, _u14225))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14222, _u14222)), hAPP(hAPP(c_Product__Type_OPair(_u14222, _u14222), _u14223), _u14226)), c_Transitive__Closure_Otrancl(_u14222, _u14225))) )).
% 12.29/12.54 cnf(matrix-6337, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14227, _u14227)), hAPP(hAPP(c_Product__Type_OPair(_u14227, _u14227), _u14228), _u14229)), _u14230)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14227, _u14227)), hAPP(hAPP(c_Product__Type_OPair(_u14227, _u14227), _u14229), _u14231)), _u14230)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14227, _u14227)), hAPP(hAPP(c_Product__Type_OPair(_u14227, _u14227), _u14228), _u14231)), c_Transitive__Closure_Otrancl(_u14227, _u14230))) )).
% 12.29/12.54 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14232, _u14232)), _u14233), c_Transitive__Closure_Otrancl(_u14232, _u14234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14232, _u14232), tc_HOL_Obool)), _u14234), _u14235)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14232, _u14232)), _u14233), c_Transitive__Closure_Otrancl(_u14232, _u14235))) )).
% 12.29/12.54 cnf(matrix-6339, plain, ( ( c_Transitive__Closure_Otrancl(_u14236, _u14237) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14236, _u14236), tc_HOL_Obool)), _u14237), hAPP(hAPP(c_Relation_Orel__comp(_u14236, _u14236, _u14236), c_Transitive__Closure_Otrancl(_u14236, _u14237)), _u14237))) )).
% 12.29/12.54 cnf(matrix-6340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14239), hAPP(hAPP(c_Product__Type_OSigma(_u14238, _u14238), _u14240), hAPP(c_COMBK(tc_fun(_u14238, tc_HOL_Obool), _u14238), _u14240)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14238, _u14239)), hAPP(hAPP(c_Product__Type_OSigma(_u14238, _u14238), _u14240), hAPP(c_COMBK(tc_fun(_u14238, tc_HOL_Obool), _u14238), _u14240)))) )).
% 12.29/12.54 cnf(matrix-6341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), _u14242), _u14243)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14241, _u14241, _u14241), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14241, _u14242)), _u14243)), _u14242)), _u14243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14241, _u14241), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14241, _u14242)), _u14243)) )).
% 12.29/12.54 cnf(matrix-6342, plain, ( ( c_Transitive__Closure_Otrancl(_u14244, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14244, _u14244)), hAPP(hAPP(c_Product__Type_OPair(_u14244, _u14244), _u14245), _u14246)), _u14247)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14244, _u14247)), hAPP(c_Set_OCollect(tc_prod(_u14244, _u14244)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14244, _u14244, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14244, tc_fun(_u14244, tc_HOL_Obool), tc_fun(_u14244, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14244, tc_HOL_Obool), tc_fun(_u14244, tc_HOL_Obool)), _u14244), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14244)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14244), c_fconj), hAPP(hAPP(c_COMBC(_u14244, tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14244, _u14244), tc_fun(tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), _u14244), c_member(tc_prod(_u14244, _u14244))), hAPP(hAPP(c_COMBC(_u14244, _u14244, tc_prod(_u14244, _u14244)), c_Product__Type_OPair(_u14244, _u14244)), _u14245))), c_Transitive__Closure_Ortrancl(_u14244, _u14247))))), hAPP(hAPP(c_COMBC(_u14244, tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14244, _u14244), tc_fun(tc_fun(tc_prod(_u14244, _u14244), tc_HOL_Obool), tc_HOL_Obool), _u14244), c_member(tc_prod(_u14244, _u14244))), hAPP(c_Product__Type_OPair(_u14244, _u14244), _u14246))), c_Transitive__Closure_Ortrancl(_u14244, _u14247))))))) )).
% 12.29/12.54 cnf(matrix-6343, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14252, tc_fun(_u14252, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14252, tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_fun(_u14252, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14252, tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_fun(_u14252, tc_HOL_Obool)), _u14252), c_COMBC(_u14252, tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14252, tc_prod(_u14252, _u14252)), tc_fun(_u14252, tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool)), _u14252), hAPP(c_COMBB(tc_prod(_u14252, _u14252), tc_fun(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool), tc_HOL_Obool), _u14252), c_member(tc_prod(_u14252, _u14252)))), c_Product__Type_OPair(_u14252, _u14252)))), _u14254)), c_fequal), _u14256), _u14258)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14252, _u14252)), hAPP(hAPP(c_Product__Type_OPair(_u14252, _u14252), _u14256), _u14258)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14252, _u14252), tc_HOL_Obool)), _u14254), c_Relation_OId(_u14252)))) )).
% 12.29/12.54 cnf(matrix-6344, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14253, _u14253)), hAPP(hAPP(c_Product__Type_OPair(_u14253, _u14253), _u14257), _u14259)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool)), _u14255), c_Relation_OId(_u14253)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14253, tc_fun(_u14253, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14253, tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_fun(_u14253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14253, tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_fun(_u14253, tc_HOL_Obool)), _u14253), c_COMBC(_u14253, tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14253, tc_prod(_u14253, _u14253)), tc_fun(_u14253, tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool)), _u14253), hAPP(c_COMBB(tc_prod(_u14253, _u14253), tc_fun(tc_fun(tc_prod(_u14253, _u14253), tc_HOL_Obool), tc_HOL_Obool), _u14253), c_member(tc_prod(_u14253, _u14253)))), c_Product__Type_OPair(_u14253, _u14253)))), _u14255)), c_fequal), _u14257), _u14259)) )).
% 12.29/12.54 cnf(matrix-6345, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), _u14261), _u14262)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), _u14261), c_Transitive__Closure_Ortrancl(_u14260, _u14262))) )).
% 12.29/12.54 cnf(matrix-6346, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14263, _u14263)), hAPP(hAPP(c_Product__Type_OPair(_u14263, _u14263), _u14264), _u14264)), c_Transitive__Closure_Ortrancl(_u14263, _u14265))) )).
% 12.29/12.54 cnf(matrix-6347, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14267)), c_Relation_OId(_u14266))) )).
% 12.29/12.54 cnf(matrix-6348, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14270)), c_Transitive__Closure_Otrancl(_u14268, _u14271))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14268, _u14268)), hAPP(hAPP(c_Product__Type_OPair(_u14268, _u14268), _u14269), _u14270)), c_Transitive__Closure_Ortrancl(_u14268, _u14271))) )).
% 12.29/12.54 cnf(matrix-6349, plain, ( ( c_Transitive__Closure_Otrancl(_u14272, c_Transitive__Closure_Ortrancl(_u14272, _u14273)) = c_Transitive__Closure_Ortrancl(_u14272, _u14273)) )).
% 12.29/12.54 cnf(matrix-6350, plain, ( ( c_Transitive__Closure_Ortrancl(_u14274, c_Transitive__Closure_Otrancl(_u14274, _u14275)) = c_Transitive__Closure_Ortrancl(_u14274, _u14275)) )).
% 12.29/12.54 cnf(matrix-6351, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14276, _u14276), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14276, _u14277)), c_Relation_OId(_u14276)) = c_Transitive__Closure_Ortrancl(_u14276, _u14277)) )).
% 12.29/12.54 cnf(matrix-6352, plain, ( ( c_Transitive__Closure_Otrancl(_u14278, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14278, _u14278), tc_HOL_Obool)), _u14279), c_Relation_OId(_u14278))) = c_Transitive__Closure_Ortrancl(_u14278, _u14279)) )).
% 12.29/12.54 cnf(matrix-6353, plain, ( ( c_Transitive__Closure_Otrancl(_u14280, _u14281) = hAPP(hAPP(c_Relation_Orel__comp(_u14280, _u14280, _u14280), _u14281), c_Transitive__Closure_Ortrancl(_u14280, _u14281))) )).
% 12.29/12.54 cnf(matrix-6354, plain, ( ( c_Transitive__Closure_Otrancl(_u14282, _u14283) = hAPP(hAPP(c_Relation_Orel__comp(_u14282, _u14282, _u14282), c_Transitive__Closure_Ortrancl(_u14282, _u14283)), _u14283)) )).
% 12.29/12.54 cnf(matrix-6355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14284, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14284, _u14284, _u14285), _u14286)), _u14286)) | ( hAPP(c_Relation_OImage(_u14284, _u14284, c_Transitive__Closure_Ortrancl(_u14284, _u14285)), _u14286) = _u14286) )).
% 12.29/12.54 cnf(matrix-6356, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14287, _u14288)), c_Transitive__Closure_Ortrancl(_u14287, _u14289))), c_Transitive__Closure_Ortrancl(_u14287, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14287, _u14287), tc_HOL_Obool)), _u14288), _u14289)))) )).
% 12.29/12.54 cnf(matrix-6357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool)), _u14291), _u14292)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14290, _u14290), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14290, _u14291)), c_Transitive__Closure_Ortrancl(_u14290, _u14292))) )).
% 12.29/12.54 cnf(matrix-6358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool)), _u14294), _u14295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14293, _u14293), tc_HOL_Obool)), _u14295), c_Transitive__Closure_Ortrancl(_u14293, _u14294))) | ( c_Transitive__Closure_Ortrancl(_u14293, _u14295) = c_Transitive__Closure_Ortrancl(_u14293, _u14294)) )).
% 12.29/12.54 cnf(matrix-6359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14296, _u14296), tc_HOL_Obool)), _u14297), c_Transitive__Closure_Ortrancl(_u14296, _u14298))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14296, _u14296), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14296, _u14297)), c_Transitive__Closure_Ortrancl(_u14296, _u14298))) )).
% 12.29/12.54 cnf(matrix-6360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), c_Relation_OId(_u14299)), _u14300)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14299, _u14299, _u14299), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14299, _u14301)), _u14300)), _u14301)), _u14300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14299, _u14299), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14299, _u14301)), _u14300)) )).
% 12.29/12.54 cnf(matrix-6361, plain, ( ( hAPP(c_Relation_ODomain(_u14302, _u14302), c_Transitive__Closure_Ortrancl(_u14302, _u14303)) = c_Orderings_Otop__class_Otop(tc_fun(_u14302, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6362, plain, ( ( hAPP(c_Relation_ORange(_u14304, _u14304), c_Transitive__Closure_Ortrancl(_u14304, _u14305)) = c_Orderings_Otop__class_Otop(tc_fun(_u14304, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6363, plain, ( ( c_Transitive__Closure_Ortrancl(_u14306, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14306, _u14306), tc_HOL_Obool))) = c_Relation_OId(_u14306)) )).
% 12.29/12.54 cnf(matrix-6364, plain, ( ( c_Transitive__Closure_Ortrancl(_u14307, _u14308) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14307, _u14307), tc_HOL_Obool)), c_Relation_OId(_u14307)), hAPP(hAPP(c_Relation_Orel__comp(_u14307, _u14307, _u14307), c_Transitive__Closure_Ortrancl(_u14307, _u14308)), _u14308))) )).
% 12.29/12.54 cnf(matrix-6365, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14311), _u14312)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, _u14311))) )).
% 12.29/12.54 cnf(matrix-6366, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14309, _u14309), tc_HOL_Obool)), _u14311), _u14312)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14309)), _u14310), c_Transitive__Closure_Ortrancl(_u14309, _u14312))) )).
% 12.29/12.54 cnf(matrix-6367, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14313, _u14313, _u14313), c_Transitive__Closure_Ortrancl(_u14313, _u14314)), c_Transitive__Closure_Ortrancl(_u14313, _u14314)) = c_Transitive__Closure_Ortrancl(_u14313, _u14314)) )).
% 12.29/12.54 cnf(matrix-6368, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14315, _u14315, _u14315), _u14316), c_Transitive__Closure_Ortrancl(_u14315, _u14316)) = hAPP(hAPP(c_Relation_Orel__comp(_u14315, _u14315, _u14315), c_Transitive__Closure_Ortrancl(_u14315, _u14316)), _u14316)) )).
% 12.29/12.54 cnf(matrix-6369, plain, ( ( c_Transitive__Closure_Ortrancl(_u14317, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14317, _u14317), tc_HOL_Obool)), _u14318), c_Relation_OId(_u14317))) = c_Transitive__Closure_Ortrancl(_u14317, _u14318)) )).
% 12.29/12.54 cnf(matrix-6370, plain, ( ( c_Transitive__Closure_Ortrancl(_u14319, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14319, _u14319), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14319, _u14320)), c_Transitive__Closure_Ortrancl(_u14319, _u14321))) = c_Transitive__Closure_Ortrancl(_u14319, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14319, _u14319), tc_HOL_Obool)), _u14320), _u14321))) )).
% 12.29/12.54 cnf(matrix-6371, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14322, _u14322), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14322, _u14323)), c_Relation_OId(_u14322)) = c_Transitive__Closure_Ortrancl(_u14322, _u14323)) )).
% 12.29/12.54 cnf(matrix-6372, plain, ( ( c_Transitive__Closure_Ortrancl(_u14324, c_Transitive__Closure_Ortrancl(_u14324, _u14325)) = c_Transitive__Closure_Ortrancl(_u14324, _u14325)) )).
% 12.29/12.54 cnf(matrix-6373, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14326), _u14327), _u14328)), c_Transitive__Closure_Ortrancl(_u14326, _u14329))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14326), _u14328), _u14330)), c_Transitive__Closure_Ortrancl(_u14326, _u14329))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14326), _u14327), _u14330)), c_Transitive__Closure_Ortrancl(_u14326, _u14329))) )).
% 12.29/12.54 cnf(matrix-6374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14332), _u14333)), c_Transitive__Closure_Ortrancl(_u14331, _u14334))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14333), _u14335)), _u14334)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14331, _u14331)), hAPP(hAPP(c_Product__Type_OPair(_u14331, _u14331), _u14332), _u14335)), c_Transitive__Closure_Ortrancl(_u14331, _u14334))) )).
% 12.29/12.54 cnf(matrix-6375, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14338)), _u14339)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14338), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14336, _u14336)), hAPP(hAPP(c_Product__Type_OPair(_u14336, _u14336), _u14337), _u14340)), c_Transitive__Closure_Ortrancl(_u14336, _u14339))) )).
% 12.29/12.54 cnf(matrix-6376, plain, ( ( c_Transitive__Closure_Ortrancl(_u14341, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14341, _u14341), tc_HOL_Obool)), _u14342), c_Relation_OId(_u14341))) = c_Transitive__Closure_Ortrancl(_u14341, _u14342)) )).
% 12.29/12.54 cnf(matrix-6377, plain, ( c_Relation_Orefl__on(_u14343, c_Orderings_Otop__class_Otop(tc_fun(_u14343, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14343, _u14344)) )).
% 12.29/12.54 cnf(matrix-6378, plain, ( ( hAPP(c_Relation_OImage(_u14345, _u14345, c_Relation_OId(_u14345)), _u14346) = _u14346) )).
% 12.29/12.54 cnf(matrix-6379, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14347, _u14348, _u14348), _u14349), c_Relation_OId(_u14348)) = _u14349) )).
% 12.29/12.54 cnf(matrix-6380, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14350, _u14350, _u14351), c_Relation_OId(_u14350)), _u14352) = _u14352) )).
% 12.29/12.54 cnf(matrix-6381, plain, ( ( _u14358 = _u14360) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14356, _u14356)), hAPP(hAPP(c_Product__Type_OPair(_u14356, _u14356), _u14358), _u14360)), c_Relation_OId(_u14356))) )).
% 12.29/12.54 cnf(matrix-6382, plain, ( ( _u14359 != _u14361) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14359), _u14361)), c_Relation_OId(_u14357))) )).
% 12.29/12.54 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14362)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14362), _u14363), _u14364)), c_Transitive__Closure_Ortrancl(_u14362, _u14365))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14362)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14362), _u14364), _u14366)), c_Transitive__Closure_Otrancl(_u14362, _u14365))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14362, _u14362)), hAPP(hAPP(c_Product__Type_OPair(_u14362, _u14362), _u14363), _u14366)), c_Transitive__Closure_Otrancl(_u14362, _u14365))) )).
% 12.29/12.54 cnf(matrix-6384, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14367, _u14367)), hAPP(hAPP(c_Product__Type_OPair(_u14367, _u14367), _u14368), _u14369)), c_Transitive__Closure_Otrancl(_u14367, _u14370))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14367, _u14367)), hAPP(hAPP(c_Product__Type_OPair(_u14367, _u14367), _u14369), _u14371)), c_Transitive__Closure_Ortrancl(_u14367, _u14370))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14367, _u14367)), hAPP(hAPP(c_Product__Type_OPair(_u14367, _u14367), _u14368), _u14371)), c_Transitive__Closure_Otrancl(_u14367, _u14370))) )).
% 12.29/12.54 cnf(matrix-6385, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14373), _u14374)), c_Transitive__Closure_Ortrancl(_u14372, _u14375))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14374), _u14376)), _u14375)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14372, _u14372)), hAPP(hAPP(c_Product__Type_OPair(_u14372, _u14372), _u14373), _u14376)), c_Transitive__Closure_Otrancl(_u14372, _u14375))) )).
% 12.29/12.54 cnf(matrix-6386, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14377, _u14377)), hAPP(hAPP(c_Product__Type_OPair(_u14377, _u14377), _u14378), _u14379)), c_Transitive__Closure_Ortrancl(_u14377, _u14380))) | ( _u14378 = _u14379) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14377, _u14377)), hAPP(hAPP(c_Product__Type_OPair(_u14377, _u14377), _u14378), _u14379)), c_Transitive__Closure_Otrancl(_u14377, _u14380))) )).
% 12.29/12.54 cnf(matrix-6387, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14381, _u14381)), hAPP(hAPP(c_Product__Type_OPair(_u14381, _u14381), _u14382), _u14383)), _u14384)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14381, _u14381)), hAPP(hAPP(c_Product__Type_OPair(_u14381, _u14381), _u14383), _u14385)), c_Transitive__Closure_Ortrancl(_u14381, _u14384))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14381, _u14381)), hAPP(hAPP(c_Product__Type_OPair(_u14381, _u14381), _u14382), _u14385)), c_Transitive__Closure_Otrancl(_u14381, _u14384))) )).
% 12.29/12.54 cnf(matrix-6388, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14390, _u14390)), hAPP(hAPP(c_Product__Type_OPair(_u14390, _u14390), _u14392), _u14394)), c_Transitive__Closure_Ortrancl(_u14390, _u14396))) | ( _u14392 = _u14394) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14390, _u14390)), hAPP(hAPP(c_Product__Type_OPair(_u14390, _u14390), _u14392), _u14394)), c_Transitive__Closure_Otrancl(_u14390, _u14396))) )).
% 12.29/12.54 cnf(matrix-6389, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14391, _u14391)), hAPP(hAPP(c_Product__Type_OPair(_u14391, _u14391), _u14393), _u14395)), c_Transitive__Closure_Ortrancl(_u14391, _u14397))) | ( _u14393 != _u14395) )).
% 12.29/12.54 cnf(matrix-6390, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14391, _u14391)), hAPP(hAPP(c_Product__Type_OPair(_u14391, _u14391), _u14393), _u14395)), c_Transitive__Closure_Ortrancl(_u14391, _u14397))) | ( _u14393 = _u14395) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14391, _u14391)), hAPP(hAPP(c_Product__Type_OPair(_u14391, _u14391), _u14393), _u14395)), c_Transitive__Closure_Otrancl(_u14391, _u14397))) )).
% 12.29/12.54 cnf(matrix-6391, plain, ( ( hAPP(c_Relation_ODomain(_u14398, _u14398), c_Relation_OId(_u14398)) = c_Orderings_Otop__class_Otop(tc_fun(_u14398, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6392, plain, ( ( hAPP(c_Relation_ORange(_u14399, _u14399), c_Relation_OId(_u14399)) = c_Orderings_Otop__class_Otop(tc_fun(_u14399, tc_HOL_Obool))) )).
% 12.29/12.54 cnf(matrix-6393, plain, ( c_Relation_Orefl__on(_u14400, c_Orderings_Otop__class_Otop(tc_fun(_u14400, tc_HOL_Obool)), c_Relation_OId(_u14400)) )).
% 12.29/12.54 cnf(matrix-6394, plain, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 12.29/12.54 cnf(matrix-6395, plain, ( hBOOL(hAPP(hAPP(c_member(_u14401), _u14402), hAPP(c_Relation_ODomain(_u14401, _u14401), _u14403))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14401, _u14401)), hAPP(hAPP(c_Product__Type_OPair(_u14401, _u14401), _u14402), _u14404)), c_Transitive__Closure_Ortrancl(_u14401, _u14403))) | ( _u14402 = _u14404) )).
% 12.29/12.54 cnf(matrix-6396, plain, ( hBOOL(hAPP(hAPP(c_member(_u14401), _u14402), hAPP(c_Relation_ODomain(_u14401, _u14401), _u14403))) | ( _u14402 != _u14404) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14401, _u14401)), hAPP(hAPP(c_Product__Type_OPair(_u14401, _u14401), _u14402), _u14404)), c_Transitive__Closure_Ortrancl(_u14401, _u14403))) )).
% 12.29/12.54 cnf(matrix-6397, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14405), _u14406), c_Wellfounded_Oacc(_u14405, _u14407))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14405, _u14405)), hAPP(hAPP(c_Product__Type_OPair(_u14405, _u14405), _u14408), _u14406)), c_Transitive__Closure_Ortrancl(_u14405, _u14407))) | hBOOL(hAPP(hAPP(c_member(_u14405), _u14408), c_Wellfounded_Oacc(_u14405, _u14407))) )).
% 12.29/12.54 cnf(matrix-6398, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14409, _u14409)), hAPP(hAPP(c_Product__Type_OPair(_u14409, _u14409), _u14410), _u14411)), c_Transitive__Closure_Ortrancl(_u14409, _u14412))) | ~hBOOL(hAPP(hAPP(c_member(_u14409), _u14411), c_Wellfounded_Oacc(_u14409, _u14412))) | hBOOL(hAPP(hAPP(c_member(_u14409), _u14410), c_Wellfounded_Oacc(_u14409, _u14412))) )).
% 12.29/12.54 cnf(matrix-6399, plain, ( ~c_Wellfounded_Owf(_u14417, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14417, _u14417)), hAPP(hAPP(c_Product__Type_OPair(_u14417, _u14417), _u14419), _u14421)), _u14423)) | c_Wellfounded_Owf(_u14417, _u14423) )).
% 12.29/12.54 cnf(matrix-6400, plain, ( ~c_Wellfounded_Owf(_u14417, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14417, _u14417)), hAPP(hAPP(c_Product__Type_OPair(_u14417, _u14417), _u14419), _u14421)), _u14423)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14417, _u14417)), hAPP(hAPP(c_Product__Type_OPair(_u14417, _u14417), _u14421), _u14419)), c_Transitive__Closure_Ortrancl(_u14417, _u14423))) )).
% 12.29/12.54 cnf(matrix-6401, plain, ( ~c_Wellfounded_Owf(_u14418, _u14424) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14418, _u14418)), hAPP(hAPP(c_Product__Type_OPair(_u14418, _u14418), _u14422), _u14420)), c_Transitive__Closure_Ortrancl(_u14418, _u14424))) | c_Wellfounded_Owf(_u14418, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14418, _u14418)), hAPP(hAPP(c_Product__Type_OPair(_u14418, _u14418), _u14420), _u14422)), _u14424)) )).
% 12.29/12.54 cnf(matrix-6402, plain, ( ~c_Wellfounded_Oacyclic(_u14429, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14431), _u14433)), _u14435)) | c_Wellfounded_Oacyclic(_u14429, _u14435) )).
% 12.29/12.54 cnf(matrix-6403, plain, ( ~c_Wellfounded_Oacyclic(_u14429, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14431), _u14433)), _u14435)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14429, _u14429)), hAPP(hAPP(c_Product__Type_OPair(_u14429, _u14429), _u14433), _u14431)), c_Transitive__Closure_Ortrancl(_u14429, _u14435))) )).
% 12.29/12.54 cnf(matrix-6404, plain, ( ~c_Wellfounded_Oacyclic(_u14430, _u14436) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14430, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14430, _u14430), _u14434), _u14432)), c_Transitive__Closure_Ortrancl(_u14430, _u14436))) | c_Wellfounded_Oacyclic(_u14430, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14430, _u14430)), hAPP(hAPP(c_Product__Type_OPair(_u14430, _u14430), _u14432), _u14434)), _u14436)) )).
% 12.29/12.54 cnf(matrix-6405, plain, ( c_Relation_Orefl__on(_u14437, c_Orderings_Otop__class_Otop(tc_fun(_u14437, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14437, _u14437), tc_HOL_Obool)), _u14438), c_Relation_OId(_u14437))) )).
% 12.29/12.54 cnf(matrix-6406, plain, ( ( c_Relation_OId(_u14439) = hAPP(c_Set_OCollect(tc_prod(_u14439, _u14439)), hAPP(hAPP(c_COMBB(tc_fun(_u14439, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14439, _u14439)), c_HOL_OEx(_u14439)), hAPP(hAPP(c_COMBC(tc_prod(_u14439, _u14439), tc_fun(_u14439, tc_prod(_u14439, _u14439)), tc_fun(_u14439, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14439, _u14439), tc_HOL_Obool), tc_fun(tc_fun(_u14439, tc_prod(_u14439, _u14439)), tc_fun(_u14439, tc_HOL_Obool)), tc_prod(_u14439, _u14439)), c_COMBB(tc_prod(_u14439, _u14439), tc_HOL_Obool, _u14439)), c_fequal)), hAPP(hAPP(c_COMBS(_u14439, _u14439, tc_prod(_u14439, _u14439)), c_Product__Type_OPair(_u14439, _u14439)), c_COMBI(_u14439)))))) )).
% 12.29/12.54 cnf(matrix-6407, plain, ( c_Relation_Oirrefl(_u14440, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14440, _u14440), tc_HOL_Obool)), _u14441), c_Relation_OId(_u14440))) )).
% 12.29/12.54 cnf(matrix-6408, 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), _u14444), _u14446)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14444), _u14446)) )).
% 12.29/12.54 cnf(matrix-6409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14445), _u14447)) | 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), _u14445), _u14447)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 12.29/12.54 cnf(matrix-6410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14448, _u14448)), hAPP(hAPP(c_Product__Type_OPair(_u14448, _u14448), _u14449), _u14450)), c_Transitive__Closure_Ortrancl(_u14448, _u14451))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14448, _u14448), tc_HOL_Obool)), _u14451), hAPP(hAPP(c_Product__Type_OSigma(_u14448, _u14448), _u14452), hAPP(c_COMBK(tc_fun(_u14448, tc_HOL_Obool), _u14448), _u14452)))) | ( _u14449 = _u14450) | hBOOL(hAPP(hAPP(c_member(_u14448), _u14449), _u14452)) )).
% 12.29/12.54 cnf(matrix-6411, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14453, _u14453), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14453, _u14453), _u14454)), c_Transitive__Closure_Ortrancl(_u14453, _u14454)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14453, _u14453), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14453, _u14453)), hAPP(hAPP(c_Product__Type_OPair(_u14453, _u14453), _u14455), _u14455)), c_Transitive__Closure_Otrancl(_u14453, _u14454))) )).
% 12.29/12.54 cnf(matrix-6412, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14457, _u14457)), hAPP(hAPP(c_Product__Type_OPair(_u14457, _u14457), hAPP(_u14458, hAPP(c_Nat_OSuc, skolem381(_u14461, _u14460, _u14459, _u14458, _u14457)))), hAPP(_u14458, skolem381(_u14461, _u14460, _u14459, _u14458, _u14457)))), c_Transitive__Closure_Ortrancl(_u14457, _u14459))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14457, _u14457)), hAPP(hAPP(c_Product__Type_OPair(_u14457, _u14457), hAPP(_u14458, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14460), _u14461))), hAPP(_u14458, _u14460))), c_Transitive__Closure_Ortrancl(_u14457, _u14459))) )).
% 12.29/12.54 cnf(matrix-6413, plain, ( ( c_Transitive__Closure_Ortrancl(_u14462, hAPP(c_Relation_Oconverse(_u14462, _u14462), _u14463)) = hAPP(c_Relation_Oconverse(_u14462, _u14462), c_Transitive__Closure_Ortrancl(_u14462, _u14463))) )).
% 12.29/12.54 cnf(matrix-6414, plain, ( ( hAPP(c_Relation_Oconverse(_u14464, _u14464), c_Relation_OId(_u14464)) = c_Relation_OId(_u14464)) )).
% 12.29/12.54 cnf(matrix-6415, plain, ( ~c_Wellfounded_Oacyclic(_u14467, hAPP(c_Relation_Oconverse(_u14467, _u14467), _u14469)) | c_Wellfounded_Oacyclic(_u14467, _u14469) )).
% 12.29/12.54 cnf(matrix-6416, plain, ( ~c_Wellfounded_Oacyclic(_u14468, _u14470) | c_Wellfounded_Oacyclic(_u14468, hAPP(c_Relation_Oconverse(_u14468, _u14468), _u14470)) )).
% 12.29/12.54 cnf(matrix-6417, plain, ( ( hAPP(c_Relation_Oconverse(_u14471, _u14472), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14473, tc_fun(tc_prod(_u14471, _u14472), tc_HOL_Obool)), _u14474), _u14475)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14473, tc_fun(tc_prod(_u14472, _u14471), tc_HOL_Obool)), _u14474), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14471, _u14472), tc_HOL_Obool), tc_fun(tc_prod(_u14472, _u14471), tc_HOL_Obool), _u14473), c_Relation_Oconverse(_u14471, _u14472)), _u14475))) )).
% 12.29/12.54 cnf(matrix-6418, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14476, _u14477)), hAPP(hAPP(c_Product__Type_OPair(_u14476, _u14477), _u14478), _u14479)), hAPP(c_Relation_Oconverse(_u14477, _u14476), _u14480))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14477, _u14476)), hAPP(hAPP(c_Product__Type_OPair(_u14477, _u14476), _u14479), _u14478)), _u14480)) )).
% 12.29/12.54 cnf(matrix-6419, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14481, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14481, _u14482), _u14483), _u14484)), _u14485)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14481)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14481), _u14484), _u14483)), hAPP(c_Relation_Oconverse(_u14481, _u14482), _u14485))) )).
% 12.29/12.54 cnf(matrix-6420, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14491, _u14493)), hAPP(hAPP(c_Product__Type_OPair(_u14491, _u14493), _u14495), _u14497)), hAPP(c_Relation_Oconverse(_u14493, _u14491), _u14499))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14493, _u14491)), hAPP(hAPP(c_Product__Type_OPair(_u14493, _u14491), _u14497), _u14495)), _u14499)) )).
% 12.29/12.54 cnf(matrix-6421, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14494, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14494, _u14492), _u14498), _u14496)), _u14500)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14494)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14494), _u14496), _u14498)), hAPP(c_Relation_Oconverse(_u14494, _u14492), _u14500))) )).
% 12.29/12.54 cnf(matrix-6422, plain, ( ( hAPP(c_Relation_Oconverse(_u14501, _u14502), hAPP(hAPP(c_Relation_Orel__comp(_u14501, _u14503, _u14502), _u14504), _u14505)) = hAPP(hAPP(c_Relation_Orel__comp(_u14502, _u14503, _u14501), hAPP(c_Relation_Oconverse(_u14503, _u14502), _u14505)), hAPP(c_Relation_Oconverse(_u14501, _u14503), _u14504))) )).
% 12.29/12.54 cnf(matrix-6423, plain, ( ( hAPP(c_Relation_Oconverse(_u14506, _u14507), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14506, _u14507), tc_HOL_Obool)), _u14508), _u14509)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14507, _u14506), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14506, _u14507), _u14508)), hAPP(c_Relation_Oconverse(_u14506, _u14507), _u14509))) )).
% 12.29/12.54 cnf(matrix-6424, plain, ( ( hAPP(c_Relation_Oconverse(_u14510, _u14510), c_Relation_OId__on(_u14510, _u14511)) = c_Relation_OId__on(_u14510, _u14511)) )).
% 12.29/12.54 cnf(matrix-6425, plain, ( ( hAPP(c_Relation_Oconverse(_u14512, _u14512), hAPP(hAPP(c_Relation_Oinv__image(_u14513, _u14512), _u14514), _u14515)) = hAPP(hAPP(c_Relation_Oinv__image(_u14513, _u14512), hAPP(c_Relation_Oconverse(_u14513, _u14513), _u14514)), _u14515)) )).
% 12.29/12.54 cnf(matrix-6426, plain, ( ( hAPP(c_Relation_Oconverse(_u14516, _u14517), hAPP(c_Relation_Oconverse(_u14517, _u14516), _u14518)) = _u14518) )).
% 12.29/12.54 cnf(matrix-6427, plain, ( ( hAPP(c_Relation_Oconverse(_u14519, _u14520), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14519, _u14520), tc_HOL_Obool)), _u14521), _u14522)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14520, _u14519), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14519, _u14520), _u14521)), hAPP(c_Relation_Oconverse(_u14519, _u14520), _u14522))) )).
% 12.29/12.54 cnf(matrix-6428, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14526, _u14528)), hAPP(c_Relation_Oconverse(_u14528, _u14526), _u14530))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14528, _u14526)), _u14530)) )).
% 12.29/12.54 cnf(matrix-6429, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14529, _u14527)), _u14531)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14527, _u14529)), hAPP(c_Relation_Oconverse(_u14529, _u14527), _u14531))) )).
% 12.29/12.54 cnf(matrix-6430, plain, ( ( hAPP(c_Relation_OField(_u14532), hAPP(c_Relation_Oconverse(_u14532, _u14532), _u14533)) = hAPP(c_Relation_OField(_u14532), _u14533)) )).
% 12.29/12.54 cnf(matrix-6431, plain, ( ~c_Relation_Orefl__on(_u14537, _u14539, hAPP(c_Relation_Oconverse(_u14537, _u14537), _u14541)) | c_Relation_Orefl__on(_u14537, _u14539, _u14541) )).
% 12.29/12.54 cnf(matrix-6432, plain, ( ~c_Relation_Orefl__on(_u14538, _u14540, _u14542) | c_Relation_Orefl__on(_u14538, _u14540, hAPP(c_Relation_Oconverse(_u14538, _u14538), _u14542)) )).
% 12.29/12.54 cnf(matrix-6433, plain, ( ( hAPP(c_Relation_Oconverse(_u14543, _u14544), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14545, tc_fun(tc_prod(_u14543, _u14544), tc_HOL_Obool)), _u14546), _u14547)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14545, tc_fun(tc_prod(_u14544, _u14543), tc_HOL_Obool)), _u14546), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14543, _u14544), tc_HOL_Obool), tc_fun(tc_prod(_u14544, _u14543), tc_HOL_Obool), _u14545), c_Relation_Oconverse(_u14543, _u14544)), _u14547))) )).
% 12.29/12.54 cnf(matrix-6434, plain, ( ( c_Transitive__Closure_Otrancl(_u14548, hAPP(c_Relation_Oconverse(_u14548, _u14548), _u14549)) = hAPP(c_Relation_Oconverse(_u14548, _u14548), c_Transitive__Closure_Otrancl(_u14548, _u14549))) )).
% 12.29/12.54 cnf(matrix-6435, plain, ( ~c_Wellfounded_Owf(_u14550, hAPP(c_Relation_Oconverse(_u14550, _u14550), _u14551)) | c_Wellfounded_Owf(_u14550, hAPP(c_Relation_Oconverse(_u14550, _u14550), c_Transitive__Closure_Otrancl(_u14550, _u14551))) )).
% 12.29/12.54 cnf(matrix-6436, plain, ( ~c_Equiv__Relations_Oequiv(_u14552, _u14553, _u14554) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14552, _u14552, _u14552), hAPP(c_Relation_Oconverse(_u14552, _u14552), _u14554)), _u14554) = _u14554) )).
% 12.29/12.54 cnf(matrix-6437, plain, ( ( hAPP(c_Relation_ORange(_u14555, _u14556), _u14557) = hAPP(c_Relation_ODomain(_u14556, _u14555), hAPP(c_Relation_Oconverse(_u14555, _u14556), _u14557))) )).
% 12.29/12.54 cnf(matrix-6438, plain, ( ( hAPP(c_Relation_ODomain(_u14558, _u14559), hAPP(c_Relation_Oconverse(_u14559, _u14558), _u14560)) = hAPP(c_Relation_ORange(_u14559, _u14558), _u14560)) )).
% 12.29/12.54 cnf(matrix-6439, plain, ( ( hAPP(c_Relation_ORange(_u14561, _u14562), hAPP(c_Relation_Oconverse(_u14562, _u14561), _u14563)) = hAPP(c_Relation_ODomain(_u14562, _u14561), _u14563)) )).
% 12.29/12.54 cnf(matrix-6440, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14564, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14564, _u14564), _u14565), _u14566)), c_Transitive__Closure_Ortrancl(_u14564, _u14567))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14564, _u14564)), hAPP(hAPP(c_Product__Type_OPair(_u14564, _u14564), _u14566), _u14565)), c_Transitive__Closure_Ortrancl(_u14564, hAPP(c_Relation_Oconverse(_u14564, _u14564), _u14567)))) )).
% 12.29/12.54 cnf(matrix-6441, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(c_Relation_Oconverse(_u14568, _u14568), _u14571)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14570), _u14569)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) )).
% 12.29/12.54 cnf(matrix-6442, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14572)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14572), _u14573), _u14574)), hAPP(c_Relation_Oconverse(_u14572, _u14572), c_Transitive__Closure_Otrancl(_u14572, _u14575)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14572, _u14572)), hAPP(hAPP(c_Product__Type_OPair(_u14572, _u14572), _u14573), _u14574)), c_Transitive__Closure_Otrancl(_u14572, hAPP(c_Relation_Oconverse(_u14572, _u14572), _u14575)))) )).
% 12.29/12.54 cnf(matrix-6443, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14576, _u14576)), hAPP(hAPP(c_Product__Type_OPair(_u14576, _u14576), _u14577), _u14578)), c_Transitive__Closure_Otrancl(_u14576, hAPP(c_Relation_Oconverse(_u14576, _u14576), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14576, _u14576)), hAPP(hAPP(c_Product__Type_OPair(_u14576, _u14576), _u14577), _u14578)), hAPP(c_Relation_Oconverse(_u14576, _u14576), c_Transitive__Closure_Otrancl(_u14576, _u14579)))) )).
% 12.29/12.54 cnf(matrix-6444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14585, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14587, _u14585, _u14589), _u14591)), _u14593)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14587, tc_HOL_Obool)), _u14591), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14587, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14585, _u14587, hAPP(c_Relation_Oconverse(_u14587, _u14585), _u14589)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14585, tc_HOL_Obool)), _u14593))))) )).
% 12.29/12.54 cnf(matrix-6445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14588, tc_HOL_Obool)), _u14592), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14588, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14586, _u14588, hAPP(c_Relation_Oconverse(_u14588, _u14586), _u14590)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14586, tc_HOL_Obool)), _u14594))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14586, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14588, _u14586, _u14590), _u14592)), _u14594)) )).
% 12.29/12.54 cnf(matrix-6446, plain, ( ~c_Relation_Orefl__on(_u14595, _u14596, _u14597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14595, _u14595), tc_HOL_Obool)), _u14597), hAPP(hAPP(c_Relation_Orel__comp(_u14595, _u14595, _u14595), hAPP(c_Relation_Oconverse(_u14595, _u14595), _u14597)), _u14597))) )).
% 12.29/12.54 cnf(matrix-6447, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14598, _u14598, _u14598), hAPP(c_Relation_Oconverse(_u14598, _u14598), _u14599)), _u14599) != _u14599) | ( hAPP(c_Relation_ODomain(_u14598, _u14598), _u14599) != _u14600) | c_Equiv__Relations_Oequiv(_u14598, _u14600, _u14599) )).
% 12.29/12.54 cnf(matrix-6448, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14601, _u14601)), _u14602)) | ~c_Wellfounded_Oacyclic(_u14601, _u14602) | c_Wellfounded_Owf(_u14601, hAPP(c_Relation_Oconverse(_u14601, _u14601), _u14602)) )).
% 12.29/12.54 cnf(matrix-6449, plain, ( ( hAPP(c_Relation_Oconverse(_u14603, _u14604), _u14605) = hAPP(c_Set_OCollect(tc_prod(_u14604, _u14603)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14604, _u14603, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14604, tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_fun(_u14603, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14603, tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_fun(_u14603, tc_HOL_Obool)), _u14604), c_COMBC(_u14603, tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14603, tc_prod(_u14603, _u14604)), tc_fun(_u14603, tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool)), _u14604), hAPP(c_COMBB(tc_prod(_u14603, _u14604), tc_fun(tc_fun(tc_prod(_u14603, _u14604), tc_HOL_Obool), tc_HOL_Obool), _u14603), c_member(tc_prod(_u14603, _u14604)))), hAPP(c_COMBC(_u14603, _u14604, tc_prod(_u14603, _u14604)), c_Product__Type_OPair(_u14603, _u14604))))), _u14605)))) )).
% 12.29/12.54 cnf(matrix-6450, plain, ( ~c_Relation_Osingle__valued(_u14606, _u14607, hAPP(c_Relation_Oconverse(_u14607, _u14606), _u14608)) | ( _u14609 = c_Orderings_Obot__class_Obot(tc_fun(_u14610, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14607, _u14606, _u14608), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14610, tc_fun(_u14607, tc_HOL_Obool)), _u14609), _u14611)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14610, tc_fun(_u14606, tc_HOL_Obool)), _u14609), hAPP(hAPP(c_COMBB(tc_fun(_u14607, tc_HOL_Obool), tc_fun(_u14606, tc_HOL_Obool), _u14610), c_Relation_OImage(_u14607, _u14606, _u14608)), _u14611))) )).
% 12.29/12.54 cnf(matrix-6451, plain, ( ~c_Relation_Ototal__on(_u14615, _u14617, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14615, _u14615), tc_HOL_Obool)), _u14619), c_Relation_OId(_u14615))) | c_Relation_Ototal__on(_u14615, _u14617, _u14619) )).
% 12.29/12.54 cnf(matrix-6452, plain, ( ~c_Relation_Ototal__on(_u14616, _u14618, _u14620) | c_Relation_Ototal__on(_u14616, _u14618, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14616, _u14616), tc_HOL_Obool)), _u14620), c_Relation_OId(_u14616))) )).
% 12.29/12.54 cnf(matrix-6453, plain, ( c_Relation_Osingle__valued(_u14621, _u14621, c_Relation_OId(_u14621)) )).
% 12.29/12.54 cnf(matrix-6454, plain, ( ~c_Relation_Osingle__valued(_u14622, _u14623, _u14624) | ~c_Relation_Osingle__valued(_u14623, _u14625, _u14626) | c_Relation_Osingle__valued(_u14622, _u14625, hAPP(hAPP(c_Relation_Orel__comp(_u14622, _u14623, _u14625), _u14624), _u14626)) )).
% 12.29/12.54 cnf(matrix-6455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14627, _u14628), tc_HOL_Obool)), _u14629), _u14630)) | ~c_Relation_Osingle__valued(_u14627, _u14628, _u14630) | c_Relation_Osingle__valued(_u14627, _u14628, _u14629) )).
% 12.29/12.54 cnf(matrix-6456, plain, ( c_Relation_Osingle__valued(_u14631, _u14631, c_Relation_OId__on(_u14631, _u14632)) )).
% 12.29/12.54 cnf(matrix-6457, plain, ( c_Relation_Ototal__on(_u14633, c_Orderings_Obot__class_Obot(tc_fun(_u14633, tc_HOL_Obool)), _u14634) )).
% 12.29/12.54 cnf(matrix-6458, plain, ( ~c_Relation_Ototal__on(_u14638, _u14640, hAPP(c_Relation_Oconverse(_u14638, _u14638), _u14642)) | c_Relation_Ototal__on(_u14638, _u14640, _u14642) )).
% 12.29/12.54 cnf(matrix-6459, plain, ( ~c_Relation_Ototal__on(_u14639, _u14641, _u14643) | c_Relation_Ototal__on(_u14639, _u14641, hAPP(c_Relation_Oconverse(_u14639, _u14639), _u14643)) )).
% 12.29/12.54 cnf(matrix-6460, plain, ( ~c_Relation_Osingle__valued(_u14653, _u14655, _u14657) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14653, _u14655)), hAPP(hAPP(c_Product__Type_OPair(_u14653, _u14655), _u14646), _u14645)), _u14657)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14653, _u14655)), hAPP(hAPP(c_Product__Type_OPair(_u14653, _u14655), _u14646), _u14644)), _u14657)) | ( _u14645 = _u14644) )).
% 12.29/12.54 cnf(matrix-6461, plain, ( c_Relation_Osingle__valued(_u14654, _u14656, _u14658) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14654, _u14656)), hAPP(hAPP(c_Product__Type_OPair(_u14654, _u14656), skolem382(_u14658, _u14656, _u14654)), skolem383(_u14658, _u14656, _u14654))), _u14658)) )).
% 12.29/12.54 cnf(matrix-6462, plain, ( c_Relation_Osingle__valued(_u14654, _u14656, _u14658) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14654, _u14656)), hAPP(hAPP(c_Product__Type_OPair(_u14654, _u14656), skolem382(_u14658, _u14656, _u14654)), skolem384(_u14658, _u14656, _u14654))), _u14658)) )).
% 12.29/12.54 cnf(matrix-6463, plain, ( c_Relation_Osingle__valued(_u14654, _u14656, _u14658) | ( skolem383(_u14658, _u14656, _u14654) != skolem384(_u14658, _u14656, _u14654)) )).
% 12.29/12.54 cnf(matrix-6464, plain, ( ~c_Relation_Osingle__valued(_u14659, _u14660, _u14661) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14659, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14659, _u14660), _u14662), _u14663)), _u14661)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14659, _u14660)), hAPP(hAPP(c_Product__Type_OPair(_u14659, _u14660), _u14662), _u14664)), _u14661)) | ( _u14663 = _u14664) )).
% 12.29/12.54 cnf(matrix-6465, plain, ( ~c_Relation_Ototal__on(_u14672, _u14674, _u14676) | ~hBOOL(hAPP(hAPP(c_member(_u14672), _u14666), _u14674)) | ~hBOOL(hAPP(hAPP(c_member(_u14672), _u14665), _u14674)) | ( _u14666 = _u14665) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14672, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14672, _u14672), _u14666), _u14665)), _u14676)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14672, _u14672)), hAPP(hAPP(c_Product__Type_OPair(_u14672, _u14672), _u14665), _u14666)), _u14676)) )).
% 12.29/12.54 cnf(matrix-6466, plain, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | hBOOL(hAPP(hAPP(c_member(_u14673), skolem385(_u14677, _u14675, _u14673)), _u14675)) )).
% 12.29/12.54 cnf(matrix-6467, plain, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | hBOOL(hAPP(hAPP(c_member(_u14673), skolem386(_u14677, _u14675, _u14673)), _u14675)) )).
% 12.29/12.54 cnf(matrix-6468, plain, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | ( skolem385(_u14677, _u14675, _u14673) != skolem386(_u14677, _u14675, _u14673)) )).
% 12.29/12.54 cnf(matrix-6469, plain, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), hAPP(hAPP(c_Product__Type_OPair(_u14673, _u14673), skolem385(_u14677, _u14675, _u14673)), skolem386(_u14677, _u14675, _u14673))), _u14677)) )).
% 12.29/12.54 cnf(matrix-6470, plain, ( c_Relation_Ototal__on(_u14673, _u14675, _u14677) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14673, _u14673)), hAPP(hAPP(c_Product__Type_OPair(_u14673, _u14673), skolem386(_u14677, _u14675, _u14673)), skolem385(_u14677, _u14675, _u14673))), _u14677)) )).
% 12.29/12.54 cnf(matrix-6471, plain, ( ~c_Relation_Osingle__valued(_u14678, _u14678, _u14679) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14680), _u14681)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14680), _u14682)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14681), _u14682)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14678, _u14678)), hAPP(hAPP(c_Product__Type_OPair(_u14678, _u14678), _u14682), _u14681)), c_Transitive__Closure_Ortrancl(_u14678, _u14679))) )).
% 12.29/12.54 cnf(matrix-6472, plain, ( ~c_Relation_Osingle__valued(_u14683, _u14684, hAPP(c_Relation_Oconverse(_u14684, _u14683), _u14685)) | ( hAPP(c_Relation_OImage(_u14684, _u14683, _u14685), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14684, tc_HOL_Obool)), _u14686), _u14687)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14683, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14684, _u14683, _u14685), _u14686)), hAPP(c_Relation_OImage(_u14684, _u14683, _u14685), _u14687))) )).
% 12.29/12.54 cnf(matrix-6473, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14688, _u14688)), _u14689), c_Transitive__Closure_Ortrancl(_u14688, _u14690))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14688, _u14688)), _u14689), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14688, _u14688), 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(_u14688, _u14688), tc_HOL_Obool), tc_fun(tc_prod(_u14688, _u14688), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14688, _u14688), tc_HOL_Obool)), _u14690)))) )).
% 12.29/12.54 cnf(matrix-6474, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14692, _u14692)), hAPP(hAPP(c_Product__Type_OPair(_u14692, _u14692), skolem387(_u14693, _u14692)), skolem387(_u14693, _u14692))), c_Transitive__Closure_Otrancl(_u14692, _u14693))) | c_Wellfounded_Oacyclic(_u14692, _u14693) )).
% 12.29/12.54 cnf(matrix-6475, plain, ( ~c_Relation_Osingle__valued(_u14694, _u14694, _u14695) | c_Relation_Osingle__valued(_u14694, _u14694, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14694, _u14694), tc_HOL_Obool), _u14696), _u14695)) )).
% 12.29/12.54 cnf(matrix-6476, plain, ( ~c_Wellfounded_Owf(_u14697, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14697, _u14697), tc_HOL_Obool), _u14698), _u14699)) | c_Wellfounded_Owf(_u14697, _u14699) )).
% 12.29/12.54 cnf(matrix-6477, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14700, _u14700), _u14701), hAPP(hAPP(c_Nat_Ocompow(_u14700, _u14700), _u14702), _u14703)) = hAPP(hAPP(c_Nat_Ocompow(_u14700, _u14700), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14702), _u14701)), _u14703)) )).
% 12.29/12.54 cnf(matrix-6478, plain, ( ( hAPP(_u14704, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14705, _u14705), _u14706), _u14704), _u14707)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14705, _u14705), _u14706), _u14704), hAPP(_u14704, _u14707))) )).
% 12.29/12.54 cnf(matrix-6479, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14708, _u14709), tc_fun(_u14708, _u14709)), _u14710), c_Fun_Ocomp(_u14709, _u14709, _u14708, _u14711)) = c_Fun_Ocomp(_u14709, _u14709, _u14708, hAPP(hAPP(c_Nat_Ocompow(_u14709, _u14709), _u14710), _u14711))) )).
% 12.29/12.54 cnf(matrix-6480, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14712, _u14712), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14713) = _u14713) )).
% 12.29/12.54 cnf(matrix-6481, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14714, _u14714, _u14714), _u14715), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14714, _u14714), tc_HOL_Obool), _u14716), _u14715)) = hAPP(hAPP(c_Relation_Orel__comp(_u14714, _u14714, _u14714), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14714, _u14714), tc_HOL_Obool), _u14716), _u14715)), _u14715)) )).
% 12.29/12.54 cnf(matrix-6482, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14717, _u14717)), _u14718), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14717, _u14717), tc_HOL_Obool), _u14719), _u14720))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14717, _u14717)), _u14718), c_Transitive__Closure_Ortrancl(_u14717, _u14720))) )).
% 12.29/12.54 cnf(matrix-6483, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14726, _u14726)), _u14728), c_Transitive__Closure_Ortrancl(_u14726, _u14730))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14726, _u14726)), _u14728), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14726, _u14726), tc_HOL_Obool), skolem388(_u14730, _u14728, _u14726)), _u14730))) )).
% 12.29/12.54 cnf(matrix-6484, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14727, _u14727)), _u14729), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14727, _u14727), tc_HOL_Obool), _u14722), _u14731))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14727, _u14727)), _u14729), c_Transitive__Closure_Ortrancl(_u14727, _u14731))) )).
% 12.29/12.54 cnf(matrix-6485, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14732, _u14732), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14733)), _u14734) = hAPP(hAPP(c_Relation_Orel__comp(_u14732, _u14732, _u14732), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14732, _u14732), tc_HOL_Obool), _u14733), _u14734)), _u14734)) )).
% 12.29/12.54 cnf(matrix-6486, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14735, _u14735), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14736), _u14737)), _u14738) = hAPP(hAPP(c_Relation_Orel__comp(_u14735, _u14735, _u14735), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14735, _u14735), tc_HOL_Obool), _u14736), _u14738)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14735, _u14735), tc_HOL_Obool), _u14737), _u14738))) )).
% 12.29/12.54 cnf(matrix-6487, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14739, _u14739), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14740) = c_Relation_OId(_u14739)) )).
% 12.29/12.54 cnf(matrix-6488, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14741, _u14741)), hAPP(hAPP(c_Product__Type_OPair(_u14741, _u14741), _u14742), _u14742)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14741, _u14741), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14743))) )).
% 12.29/12.54 cnf(matrix-6489, plain, ( ( _u14745 = _u14746) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14744, _u14744)), hAPP(hAPP(c_Product__Type_OPair(_u14744, _u14744), _u14745), _u14746)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14744, _u14744), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14747))) )).
% 12.29/12.54 cnf(matrix-6490, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14748, _u14748)), hAPP(hAPP(c_Product__Type_OPair(_u14748, _u14748), _u14749), _u14750)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14748, _u14748), tc_HOL_Obool), _u14751), _u14752))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14748, _u14748)), hAPP(hAPP(c_Product__Type_OPair(_u14748, _u14748), _u14750), _u14753)), _u14752)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14748, _u14748)), hAPP(hAPP(c_Product__Type_OPair(_u14748, _u14748), _u14749), _u14753)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14748, _u14748), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14751)), _u14752))) )).
% 12.29/12.54 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14754, _u14754)), hAPP(hAPP(c_Product__Type_OPair(_u14754, _u14754), _u14755), _u14756)), _u14757)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14754, _u14754)), hAPP(hAPP(c_Product__Type_OPair(_u14754, _u14754), _u14756), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14754, _u14754), tc_HOL_Obool), _u14759), _u14757))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14754, _u14754)), hAPP(hAPP(c_Product__Type_OPair(_u14754, _u14754), _u14755), _u14758)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14754, _u14754), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14759)), _u14757))) )).
% 12.29/12.54 cnf(matrix-6492, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14760, _u14760), hAPP(c_Nat_OSuc, _u14761)), _u14762) = hAPP(c_Fun_Ocomp(_u14760, _u14760, _u14760, _u14762), hAPP(hAPP(c_Nat_Ocompow(_u14760, _u14760), _u14761), _u14762))) )).
% 12.29/12.54 cnf(matrix-6493, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14763, _u14763), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14764), _u14765)), _u14766) = hAPP(c_Fun_Ocomp(_u14763, _u14763, _u14763, hAPP(hAPP(c_Nat_Ocompow(_u14763, _u14763), _u14764), _u14766)), hAPP(hAPP(c_Nat_Ocompow(_u14763, _u14763), _u14765), _u14766))) )).
% 12.29/12.54 cnf(matrix-6494, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14767, _u14767), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14768) = c_Fun_Oid(_u14767)) )).
% 12.29/12.54 cnf(matrix-6495, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14776), c_Transitive__Closure_Otrancl(_u14774, _u14778))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem389(_u14778, _u14776, _u14774))) )).
% 12.29/12.54 cnf(matrix-6496, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14776), c_Transitive__Closure_Otrancl(_u14774, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14774)), _u14776), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14774, _u14774), tc_HOL_Obool), skolem389(_u14778, _u14776, _u14774)), _u14778))) )).
% 12.29/12.54 cnf(matrix-6497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14770)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14775, _u14775)), _u14777), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14775, _u14775), tc_HOL_Obool), _u14770), _u14779))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14775, _u14775)), _u14777), c_Transitive__Closure_Otrancl(_u14775, _u14779))) )).
% 12.29/12.54 cnf(matrix-6498, plain, ( ( c_Transitive__Closure_Ortrancl(_u14780, _u14781) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14780, _u14780), 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(_u14780, _u14780), tc_HOL_Obool), tc_fun(tc_prod(_u14780, _u14780), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14780, _u14780), tc_HOL_Obool)), _u14781))) )).
% 12.29/12.54 cnf(matrix-6499, plain, ( ( c_Nat_Ofunpow(_u14782) = c_Nat_Ocompow(_u14782, _u14782)) )).
% 12.29/12.54 cnf(matrix-6500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14788 = hAPP(c_Nat_OSuc, skolem391(_u14789, _u14788, _u14787, _u14786, _u14785))) )).
% 12.29/12.54 cnf(matrix-6501, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), skolem391(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14789))) )).
% 12.29/12.54 cnf(matrix-6502, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14787)), _u14789)) )).
% 12.29/12.54 cnf(matrix-6503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14786 = _u14787) | ( _u14788 = hAPP(c_Nat_OSuc, skolem391(_u14789, _u14788, _u14787, _u14786, _u14785))) )).
% 12.29/12.54 cnf(matrix-6504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14786 = _u14787) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), skolem391(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14789))) )).
% 12.29/12.54 cnf(matrix-6505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), _u14786), _u14787)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14785, _u14785), tc_HOL_Obool), _u14788), _u14789))) | ( _u14786 = _u14787) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14785, _u14785)), hAPP(hAPP(c_Product__Type_OPair(_u14785, _u14785), skolem390(_u14789, _u14788, _u14787, _u14786, _u14785)), _u14787)), _u14789)) )).
% 12.29/12.54 cnf(matrix-6506, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14795 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14795 = hAPP(c_Nat_OSuc, skolem393(_u14796, _u14795, _u14794, _u14793, _u14792))) )).
% 12.29/12.54 cnf(matrix-6507, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14795 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792))), _u14796)) )).
% 12.29/12.54 cnf(matrix-6508, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14795 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), skolem393(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14796))) )).
% 12.29/12.54 cnf(matrix-6509, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14793 = _u14794) | ( _u14795 = hAPP(c_Nat_OSuc, skolem393(_u14796, _u14795, _u14794, _u14793, _u14792))) )).
% 12.29/12.54 cnf(matrix-6510, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14793 = _u14794) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792))), _u14796)) )).
% 12.29/12.54 cnf(matrix-6511, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), _u14795), _u14796))) | ( _u14793 = _u14794) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), skolem392(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14794)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14792, _u14792), tc_HOL_Obool), skolem393(_u14796, _u14795, _u14794, _u14793, _u14792)), _u14796))) )).
% 12.29/12.54 cnf(matrix-6512, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14799, _u14799), tc_HOL_Obool)), _u14802), _u14803)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), skolem394(_u14803, _u14802, _u14801, _u14800, _u14799)), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) )).
% 12.29/12.54 cnf(matrix-6513, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14799, _u14799), tc_HOL_Obool)), _u14802), _u14803)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), skolem395(_u14803, _u14802, _u14801, _u14800, _u14799)), skolem394(_u14803, _u14802, _u14801, _u14800, _u14799))), _u14803)) )).
% 12.29/12.54 cnf(matrix-6514, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14799, _u14799), tc_HOL_Obool)), _u14802), _u14803)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14799, _u14799)), hAPP(hAPP(c_Product__Type_OPair(_u14799, _u14799), _u14800), _u14801)), c_Transitive__Closure_Ortrancl(_u14799, _u14802))) | ( skolem395(_u14803, _u14802, _u14801, _u14800, _u14799) != skolem394(_u14803, _u14802, _u14801, _u14800, _u14799)) )).
% 12.29/12.54 cnf(matrix-6515, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14806, _u14806), tc_HOL_Obool)), _u14809), _u14810)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), skolem396(_u14810, _u14809, _u14808, _u14807, _u14806))), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) )).
% 12.29/12.54 cnf(matrix-6516, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14806, _u14806), tc_HOL_Obool)), _u14809), _u14810)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), skolem396(_u14810, _u14809, _u14808, _u14807, _u14806)), skolem397(_u14810, _u14809, _u14808, _u14807, _u14806))), _u14810)) )).
% 12.29/12.55 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14806, _u14806), tc_HOL_Obool)), _u14809), _u14810)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14806, _u14806)), hAPP(hAPP(c_Product__Type_OPair(_u14806, _u14806), _u14807), _u14808)), c_Transitive__Closure_Ortrancl(_u14806, _u14809))) | ( skolem396(_u14810, _u14809, _u14808, _u14807, _u14806) != skolem397(_u14810, _u14809, _u14808, _u14807, _u14806)) )).
% 12.29/12.55 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), _u14813), _u14814)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14812, _u14812), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14815)), _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), _u14813), skolem398(_u14816, _u14815, _u14814, _u14813, _u14812))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14812, _u14812), tc_HOL_Obool), _u14815), _u14816))) )).
% 12.29/12.55 cnf(matrix-6519, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), _u14813), _u14814)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14812, _u14812), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14815)), _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14812, _u14812)), hAPP(hAPP(c_Product__Type_OPair(_u14812, _u14812), skolem398(_u14816, _u14815, _u14814, _u14813, _u14812)), _u14814)), _u14816)) )).
% 12.29/12.55 cnf(matrix-6520, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), _u14819), _u14820)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14818, _u14818), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14821)), _u14822))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), _u14819), skolem399(_u14822, _u14821, _u14820, _u14819, _u14818))), _u14822)) )).
% 12.29/12.55 cnf(matrix-6521, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), _u14819), _u14820)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14818, _u14818), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14821)), _u14822))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14818, _u14818)), hAPP(hAPP(c_Product__Type_OPair(_u14818, _u14818), skolem399(_u14822, _u14821, _u14820, _u14819, _u14818)), _u14820)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14818, _u14818), tc_HOL_Obool), _u14821), _u14822))) )).
% 12.29/12.55 cnf(matrix-6522, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), _u14825), _u14826)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14824, _u14824), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14827)), _u14828))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), _u14825), skolem400(_u14828, _u14827, _u14826, _u14825, _u14824))), _u14828)) )).
% 12.29/12.55 cnf(matrix-6523, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), _u14825), _u14826)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14824, _u14824), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14827)), _u14828))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14824, _u14824)), hAPP(hAPP(c_Product__Type_OPair(_u14824, _u14824), skolem400(_u14828, _u14827, _u14826, _u14825, _u14824)), _u14826)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14824, _u14824), tc_HOL_Obool), _u14827), _u14828))) )).
% 12.29/12.55 cnf(matrix-6524, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), _u14831), _u14832)), c_Transitive__Closure_Otrancl(_u14830, _u14833))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), _u14831), skolem401(_u14833, _u14832, _u14831, _u14830))), c_Transitive__Closure_Ortrancl(_u14830, _u14833))) )).
% 12.29/12.55 cnf(matrix-6525, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), _u14831), _u14832)), c_Transitive__Closure_Otrancl(_u14830, _u14833))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14830, _u14830)), hAPP(hAPP(c_Product__Type_OPair(_u14830, _u14830), skolem401(_u14833, _u14832, _u14831, _u14830)), _u14832)), _u14833)) )).
% 12.29/12.55 cnf(matrix-6526, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14836), _u14837)), c_Transitive__Closure_Otrancl(_u14835, _u14838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14836), skolem402(_u14838, _u14837, _u14836, _u14835))), _u14838)) )).
% 12.29/12.55 cnf(matrix-6527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), _u14836), _u14837)), c_Transitive__Closure_Otrancl(_u14835, _u14838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14835, _u14835)), hAPP(hAPP(c_Product__Type_OPair(_u14835, _u14835), skolem402(_u14838, _u14837, _u14836, _u14835)), _u14837)), c_Transitive__Closure_Ortrancl(_u14835, _u14838))) )).
% 12.29/12.55 cnf(matrix-6528, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14840, _u14840)), _u14841), c_Relation_OId(_u14840))) | ( _u14841 = hAPP(hAPP(c_Product__Type_OPair(_u14840, _u14840), skolem403(_u14841, _u14840)), skolem403(_u14841, _u14840))) )).
% 12.29/12.55 cnf(matrix-6529, plain, ( ~class_Orderings_Olinorder(_u14842) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14842), _u14843)) | hBOOL(hAPP(hAPP(c_member(_u14842), _u14844), _u14843)) | ( c_Big__Operators_Olattice_OSup__fin(_u14842, c_Orderings_Oord__class_Omax(_u14842), hAPP(hAPP(c_Set_Oinsert(_u14842), _u14844), _u14843)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14842, _u14842, c_Orderings_Oord__class_Omax(_u14842)), _u14844), _u14843)) )).
% 12.29/12.55 cnf(matrix-6530, plain, ( ~c_Finite__Set_Ofolding(_u14845, _u14846, _u14847, _u14848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14845), _u14849)) | ( hAPP(hAPP(_u14848, _u14849), _u14850) = hAPP(hAPP(c_Finite__Set_Ofold(_u14845, _u14846, _u14847), _u14850), _u14849)) )).
% 12.29/12.55 cnf(matrix-6531, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u14851, _u14852, _u14853), _u14854) = c_Finite__Set_Ofold(_u14852, _u14851, hAPP(hAPP(c_COMBB(_u14851, tc_fun(_u14851, _u14851), _u14852), _u14853), _u14854))) )).
% 12.29/12.55 cnf(matrix-6532, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14855, _u14856, _u14857), _u14858), c_Orderings_Obot__class_Obot(tc_fun(_u14855, tc_HOL_Obool))) = _u14858) )).
% 12.29/12.55 cnf(matrix-6533, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14859, _u14860, _u14861), _u14862), _u14863) = c_HOL_OThe(_u14860, c_Finite__Set_Ofold__graph(_u14859, _u14860, _u14861, _u14862, _u14863))) )).
% 12.29/12.55 cnf(matrix-6534, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14864), _u14865)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14864, tc_HOL_Obool)), _u14865), _u14866) = hAPP(hAPP(c_Finite__Set_Ofold(_u14864, tc_fun(_u14864, tc_HOL_Obool), c_Set_Oinsert(_u14864)), _u14866), _u14865)) )).
% 12.29/12.55 cnf(matrix-6535, plain, ( ~class_Lattices_Osemilattice__sup(_u14867) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14867), _u14868)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14867, _u14867, c_Lattices_Osemilattice__sup__class_Osup(_u14867)), _u14869), hAPP(hAPP(c_Set_Oinsert(_u14867), _u14870), _u14868)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14867), _u14870), hAPP(hAPP(c_Finite__Set_Ofold(_u14867, _u14867, c_Lattices_Osemilattice__sup__class_Osup(_u14867)), _u14869), _u14868))) )).
% 12.29/12.55 cnf(matrix-6536, plain, ( ~class_Lattices_Osemilattice__inf(_u14871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14871), _u14872)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14871, _u14871, c_Lattices_Osemilattice__inf__class_Oinf(_u14871)), _u14873), hAPP(hAPP(c_Set_Oinsert(_u14871), _u14874), _u14872)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14871), _u14874), hAPP(hAPP(c_Finite__Set_Ofold(_u14871, _u14871, c_Lattices_Osemilattice__inf__class_Oinf(_u14871)), _u14873), _u14872))) )).
% 12.29/12.55 cnf(matrix-6537, plain, ( ~class_Orderings_Olinorder(_u14875) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14875), _u14876)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14875, _u14875, c_Orderings_Oord__class_Omin(_u14875)), _u14877), hAPP(hAPP(c_Set_Oinsert(_u14875), _u14878), _u14876)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14875), _u14878), hAPP(hAPP(c_Finite__Set_Ofold(_u14875, _u14875, c_Orderings_Oord__class_Omin(_u14875)), _u14877), _u14876))) )).
% 12.29/12.55 cnf(matrix-6538, plain, ( ~class_Orderings_Olinorder(_u14879) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14879), _u14880)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14879, _u14879, c_Orderings_Oord__class_Omax(_u14879)), _u14881), hAPP(hAPP(c_Set_Oinsert(_u14879), _u14882), _u14880)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14879), _u14882), hAPP(hAPP(c_Finite__Set_Ofold(_u14879, _u14879, c_Orderings_Oord__class_Omax(_u14879)), _u14881), _u14880))) )).
% 12.29/12.55 cnf(matrix-6539, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14883) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14883), _u14884)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14883), _u14885), c_Complete__Lattice_OSup__class_OSup(_u14883, _u14884)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14883, _u14883, c_Lattices_Osemilattice__sup__class_Osup(_u14883)), _u14885), _u14884)) )).
% 12.29/12.55 cnf(matrix-6540, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14886) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14886), _u14887)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14886), _u14888), c_Complete__Lattice_OInf__class_OInf(_u14886, _u14887)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14886, _u14886, c_Lattices_Osemilattice__inf__class_Oinf(_u14886)), _u14888), _u14887)) )).
% 12.29/12.55 cnf(matrix-6541, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14889, _u14890, _u14891) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14889), _u14892)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14889, _u14890, _u14891), _u14893), hAPP(hAPP(c_Set_Oinsert(_u14889), _u14894), _u14892)) = hAPP(hAPP(_u14891, _u14894), hAPP(hAPP(c_Finite__Set_Ofold(_u14889, _u14890, _u14891), _u14893), _u14892))) )).
% 12.29/12.55 cnf(matrix-6542, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14895, _u14896, _u14897) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14895), _u14898)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14895, _u14896, _u14897), _u14899), hAPP(hAPP(c_Set_Oinsert(_u14895), _u14900), _u14898)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14895, _u14896, _u14897), hAPP(hAPP(_u14897, _u14900), _u14899)), _u14898)) )).
% 12.29/12.55 cnf(matrix-6543, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14902), _u14903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14901), _u14904), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14902, _u14901), _u14903), _u14905)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14902, _u14901, hAPP(hAPP(c_COMBB(_u14901, tc_fun(_u14901, _u14901), _u14902), c_Lattices_Osemilattice__sup__class_Osup(_u14901)), _u14905)), _u14904), _u14903)) )).
% 12.29/12.55 cnf(matrix-6544, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14906) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14907), _u14908)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14906), _u14909), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14907, _u14906), _u14908), _u14910)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14907, _u14906, hAPP(hAPP(c_COMBB(_u14906, tc_fun(_u14906, _u14906), _u14907), c_Lattices_Osemilattice__inf__class_Oinf(_u14906)), _u14910)), _u14909), _u14908)) )).
% 12.29/12.55 cnf(matrix-6545, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u14911, _u14912, _u14913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14911), _u14914)) | ( hAPP(_u14913, hAPP(hAPP(c_Set_Oinsert(_u14911), _u14915), _u14914)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14911, _u14911, _u14912), _u14915), _u14914)) )).
% 12.29/12.55 cnf(matrix-6546, plain, ( ~class_Lattices_Osemilattice__sup(_u14916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14916), _u14917)) | ~hBOOL(hAPP(hAPP(c_member(_u14916), _u14918), _u14917)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14916), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14916), _u14918), _u14919)), hAPP(hAPP(c_Finite__Set_Ofold(_u14916, _u14916, c_Lattices_Osemilattice__sup__class_Osup(_u14916)), _u14919), _u14917))) )).
% 12.29/12.55 cnf(matrix-6547, plain, ( ~class_Lattices_Osemilattice__inf(_u14920) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14920), _u14921)) | ~hBOOL(hAPP(hAPP(c_member(_u14920), _u14922), _u14921)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14920), hAPP(hAPP(c_Finite__Set_Ofold(_u14920, _u14920, c_Lattices_Osemilattice__inf__class_Oinf(_u14920)), _u14923), _u14921)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14920), _u14922), _u14923))) )).
% 12.29/12.55 cnf(matrix-6548, plain, ( ~class_Orderings_Olinorder(_u14924) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14924), _u14925)) | ~hBOOL(hAPP(hAPP(c_member(_u14924), _u14926), _u14925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14924), hAPP(hAPP(c_Finite__Set_Ofold(_u14924, _u14924, c_Orderings_Oord__class_Omin(_u14924)), _u14927), _u14925)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14924), _u14926), _u14927))) )).
% 12.29/12.55 cnf(matrix-6549, plain, ( ~class_Orderings_Olinorder(_u14928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14928), _u14929)) | ~hBOOL(hAPP(hAPP(c_member(_u14928), _u14930), _u14929)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14928), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14928), _u14930), _u14931)), hAPP(hAPP(c_Finite__Set_Ofold(_u14928, _u14928, c_Orderings_Oord__class_Omax(_u14928)), _u14931), _u14929))) )).
% 12.29/12.55 cnf(matrix-6550, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14932) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14932), _u14933)) | ( c_Complete__Lattice_OSup__class_OSup(_u14932, _u14933) = hAPP(hAPP(c_Finite__Set_Ofold(_u14932, _u14932, c_Lattices_Osemilattice__sup__class_Osup(_u14932)), c_Orderings_Obot__class_Obot(_u14932)), _u14933)) )).
% 12.29/12.55 cnf(matrix-6551, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14934), _u14935)) | ( c_Complete__Lattice_OInf__class_OInf(_u14934, _u14935) = hAPP(hAPP(c_Finite__Set_Ofold(_u14934, _u14934, c_Lattices_Osemilattice__inf__class_Oinf(_u14934)), c_Orderings_Otop__class_Otop(_u14934)), _u14935)) )).
% 12.29/12.55 cnf(matrix-6552, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14936), _u14937)) | ( hAPP(c_Finite__Set_Ofold1(_u14936, c_Groups_Otimes__class_Otimes(_u14936)), hAPP(hAPP(c_Set_Oinsert(_u14936), _u14938), _u14937)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14936, _u14936, c_Groups_Otimes__class_Otimes(_u14936)), _u14938), _u14937)) )).
% 12.29/12.55 cnf(matrix-6553, plain, ( ~class_Lattices_Olattice(_u14939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14939), _u14940)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14939, hAPP(hAPP(c_Set_Oinsert(_u14939), _u14941), _u14940)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14939, _u14939, c_Lattices_Osemilattice__sup__class_Osup(_u14939)), _u14941), _u14940)) )).
% 12.29/12.55 cnf(matrix-6554, plain, ( ~class_Lattices_Olattice(_u14942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14942), _u14943)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14942, hAPP(hAPP(c_Set_Oinsert(_u14942), _u14944), _u14943)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14942, _u14942, c_Lattices_Osemilattice__inf__class_Oinf(_u14942)), _u14944), _u14943)) )).
% 12.29/12.55 cnf(matrix-6555, plain, ( ~class_Orderings_Olinorder(_u14945) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14945), _u14946)) | ( c_Big__Operators_Olinorder__class_OMin(_u14945, hAPP(hAPP(c_Set_Oinsert(_u14945), _u14947), _u14946)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14945, _u14945, c_Orderings_Oord__class_Omin(_u14945)), _u14947), _u14946)) )).
% 12.29/12.55 cnf(matrix-6556, plain, ( ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14948), _u14949)) | ( c_Big__Operators_Olinorder__class_OMax(_u14948, hAPP(hAPP(c_Set_Oinsert(_u14948), _u14950), _u14949)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14948, _u14948, c_Orderings_Oord__class_Omax(_u14948)), _u14950), _u14949)) )).
% 12.29/12.55 cnf(matrix-6557, plain, ( ~class_Orderings_Olinorder(_u14951) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14951), _u14952)) | ( c_Big__Operators_Olattice_OInf__fin(_u14951, c_Orderings_Oord__class_Omin(_u14951), hAPP(hAPP(c_Set_Oinsert(_u14951), _u14953), _u14952)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14951, _u14951, c_Orderings_Oord__class_Omin(_u14951)), _u14953), _u14952)) )).
% 12.29/12.55 cnf(matrix-6558, plain, ( ~class_Orderings_Olinorder(_u14954) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14954), _u14955)) | ( c_Big__Operators_Olattice_OSup__fin(_u14954, c_Orderings_Oord__class_Omax(_u14954), hAPP(hAPP(c_Set_Oinsert(_u14954), _u14956), _u14955)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14954, _u14954, c_Orderings_Oord__class_Omax(_u14954)), _u14956), _u14955)) )).
% 12.29/12.55 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14957), _u14958)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14957, tc_HOL_Obool)), _u14959), _u14958) = hAPP(hAPP(c_Finite__Set_Ofold(_u14957, tc_fun(_u14957, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14957, tc_HOL_Obool), tc_fun(tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool)), _u14957), hAPP(c_COMBC(tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14957, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14957, tc_fun(_u14957, tc_HOL_Obool), tc_fun(_u14957, tc_HOL_Obool)), c_Set_Oinsert(_u14957)), c_Orderings_Obot__class_Obot(tc_fun(_u14957, tc_HOL_Obool))))), _u14959), _u14958)) )).
% 12.29/12.55 cnf(matrix-6560, plain, ( ~c_Finite__Set_Ofolding__one(_u14960, _u14961, _u14962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14960), _u14963)) | hBOOL(hAPP(hAPP(c_member(_u14960), _u14964), _u14963)) | ( hAPP(_u14962, hAPP(hAPP(c_Set_Oinsert(_u14960), _u14964), _u14963)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14960, _u14960, _u14961), _u14964), _u14963)) )).
% 12.29/12.55 cnf(matrix-6561, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14966), _u14967)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14966, _u14965), _u14967), _u14968) = hAPP(hAPP(c_Finite__Set_Ofold(_u14966, _u14965, hAPP(hAPP(c_COMBB(_u14965, tc_fun(_u14965, _u14965), _u14966), c_Lattices_Osemilattice__sup__class_Osup(_u14965)), _u14968)), c_Orderings_Obot__class_Obot(_u14965)), _u14967)) )).
% 12.29/12.55 cnf(matrix-6562, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14969) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14970), _u14971)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14970, _u14969), _u14971), _u14972) = hAPP(hAPP(c_Finite__Set_Ofold(_u14970, _u14969, hAPP(hAPP(c_COMBB(_u14969, tc_fun(_u14969, _u14969), _u14970), c_Lattices_Osemilattice__inf__class_Oinf(_u14969)), _u14972)), c_Orderings_Otop__class_Otop(_u14969)), _u14971)) )).
% 12.29/12.55 cnf(matrix-6563, plain, ( ~class_Groups_Oab__semigroup__mult(_u14973) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14973), _u14974)) | hBOOL(hAPP(hAPP(c_member(_u14973), _u14975), _u14974)) | ( hAPP(c_Finite__Set_Ofold1(_u14973, c_Groups_Otimes__class_Otimes(_u14973)), hAPP(hAPP(c_Set_Oinsert(_u14973), _u14975), _u14974)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14973, _u14973, c_Groups_Otimes__class_Otimes(_u14973)), _u14975), _u14974)) )).
% 12.29/12.55 cnf(matrix-6564, plain, ( ~class_Lattices_Olattice(_u14976) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14976), _u14977)) | hBOOL(hAPP(hAPP(c_member(_u14976), _u14978), _u14977)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14976, hAPP(hAPP(c_Set_Oinsert(_u14976), _u14978), _u14977)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14976, _u14976, c_Lattices_Osemilattice__sup__class_Osup(_u14976)), _u14978), _u14977)) )).
% 12.29/12.55 cnf(matrix-6565, plain, ( ~class_Lattices_Olattice(_u14979) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14979), _u14980)) | hBOOL(hAPP(hAPP(c_member(_u14979), _u14981), _u14980)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14979, hAPP(hAPP(c_Set_Oinsert(_u14979), _u14981), _u14980)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14979, _u14979, c_Lattices_Osemilattice__inf__class_Oinf(_u14979)), _u14981), _u14980)) )).
% 12.29/12.55 cnf(matrix-6566, plain, ( ~class_Orderings_Olinorder(_u14982) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14982), _u14983)) | hBOOL(hAPP(hAPP(c_member(_u14982), _u14984), _u14983)) | ( c_Big__Operators_Olinorder__class_OMin(_u14982, hAPP(hAPP(c_Set_Oinsert(_u14982), _u14984), _u14983)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14982, _u14982, c_Orderings_Oord__class_Omin(_u14982)), _u14984), _u14983)) )).
% 12.29/12.55 cnf(matrix-6567, plain, ( ~class_Orderings_Olinorder(_u14985) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14985), _u14986)) | hBOOL(hAPP(hAPP(c_member(_u14985), _u14987), _u14986)) | ( c_Big__Operators_Olinorder__class_OMax(_u14985, hAPP(hAPP(c_Set_Oinsert(_u14985), _u14987), _u14986)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14985, _u14985, c_Orderings_Oord__class_Omax(_u14985)), _u14987), _u14986)) )).
% 12.29/12.55 cnf(matrix-6568, plain, ( ~class_Orderings_Olinorder(_u14988) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14988), _u14989)) | hBOOL(hAPP(hAPP(c_member(_u14988), _u14990), _u14989)) | ( c_Big__Operators_Olattice_OInf__fin(_u14988, c_Orderings_Oord__class_Omin(_u14988), hAPP(hAPP(c_Set_Oinsert(_u14988), _u14990), _u14989)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14988, _u14988, c_Orderings_Oord__class_Omin(_u14988)), _u14990), _u14989)) )).
% 12.29/12.55 cnf(matrix-6569, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14991, _u14992, _u14993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14991), _u14994)) | ~hBOOL(hAPP(hAPP(c_member(_u14991), _u14995), _u14994)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14991, _u14992, _u14993), _u14996), _u14994) = hAPP(hAPP(_u14993, _u14995), hAPP(hAPP(c_Finite__Set_Ofold(_u14991, _u14992, _u14993), _u14996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14991, tc_HOL_Obool)), _u14994), hAPP(hAPP(c_Set_Oinsert(_u14991), _u14995), c_Orderings_Obot__class_Obot(tc_fun(_u14991, tc_HOL_Obool))))))) )).
% 12.29/12.55 cnf(matrix-6570, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14997, _u14998, _u14999) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14997), _u15000)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14997, _u14998, _u14999), _u15001), hAPP(hAPP(c_Set_Oinsert(_u14997), _u15002), _u15000)) = hAPP(hAPP(_u14999, _u15002), hAPP(hAPP(c_Finite__Set_Ofold(_u14997, _u14998, _u14999), _u15001), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14997, tc_HOL_Obool)), _u15000), hAPP(hAPP(c_Set_Oinsert(_u14997), _u15002), c_Orderings_Obot__class_Obot(tc_fun(_u14997, tc_HOL_Obool))))))) )).
% 12.29/12.55 cnf(matrix-6571, plain, ( ( hAPP(c_Fun_Ocomp(_u15004, _u15004, _u15004, hAPP(_u15005, _u15006)), hAPP(_u15005, _u15007)) = hAPP(c_Fun_Ocomp(_u15004, _u15004, _u15004, hAPP(_u15005, _u15007)), hAPP(_u15005, _u15006))) | ~c_Finite__Set_Ofun__left__comm(_u15003, _u15004, _u15005) )).
% 12.29/12.55 cnf(matrix-6572, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15008, _u15009, _u15010) | c_Finite__Set_Ofun__left__comm(_u15011, _u15009, hAPP(hAPP(c_COMBB(_u15008, tc_fun(_u15009, _u15009), _u15011), _u15010), _u15012)) )).
% 12.29/12.55 cnf(matrix-6573, plain, ( ~class_Groups_Oab__semigroup__mult(_u15013) | c_Finite__Set_Ofun__left__comm(_u15013, _u15013, c_Groups_Otimes__class_Otimes(_u15013)) )).
% 12.29/12.55 cnf(matrix-6574, plain, ( ( hAPP(hAPP(_u15016, _u15017), hAPP(hAPP(_u15016, _u15018), _u15019)) = hAPP(hAPP(_u15016, _u15018), hAPP(hAPP(_u15016, _u15017), _u15019))) | ~c_Finite__Set_Ofun__left__comm(_u15014, _u15015, _u15016) )).
% 12.29/12.55 cnf(matrix-6575, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15020, _u15021, _u15022) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15020, _u15021, _u15022, _u15023, _u15024), _u15025)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15020, _u15021, _u15022, _u15023, _u15024), _u15026)) | ( _u15026 = _u15025) )).
% 12.29/12.55 cnf(matrix-6576, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15027, _u15028, _u15029) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15027), _u15030)) | ( hAPP(hAPP(_u15029, _u15031), hAPP(hAPP(c_Finite__Set_Ofold(_u15027, _u15028, _u15029), _u15032), _u15030)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15027, _u15028, _u15029), hAPP(hAPP(_u15029, _u15031), _u15032)), _u15030)) )).
% 12.29/12.55 cnf(matrix-6577, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15033, _u15034, _u15035) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15033, _u15034, _u15035, _u15036, _u15037), _u15038)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15033, _u15034, _u15035), _u15036), _u15037) = _u15038) )).
% 12.29/12.55 cnf(matrix-6578, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15039, _u15040, _u15041) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15039), _u15042)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15039, _u15040, _u15041, _u15043, _u15042), hAPP(hAPP(c_Finite__Set_Ofold(_u15039, _u15040, _u15041), _u15043), _u15042))) )).
% 12.29/12.55 cnf(matrix-6579, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15044, _u15045, _u15046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15044), _u15047)) | hBOOL(hAPP(hAPP(c_member(_u15044), _u15048), _u15047)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15044, _u15045, _u15046), _u15049), hAPP(hAPP(c_Set_Oinsert(_u15044), _u15048), _u15047)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15044, _u15045, _u15046), hAPP(hAPP(_u15046, _u15048), _u15049)), _u15047)) )).
% 12.29/12.55 cnf(matrix-6580, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15050, _u15051, _u15052) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15050), _u15053)) | hBOOL(hAPP(hAPP(c_member(_u15050), _u15054), _u15053)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u15050, _u15051, _u15052), _u15055), hAPP(hAPP(c_Set_Oinsert(_u15050), _u15054), _u15053)) = hAPP(hAPP(_u15052, _u15054), hAPP(hAPP(c_Finite__Set_Ofold(_u15050, _u15051, _u15052), _u15055), _u15053))) )).
% 12.29/12.55 cnf(matrix-6581, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15057, _u15058, _u15059) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15057, _u15058, _u15059, _u15060, _u15061), _u15062)) | ~hBOOL(hAPP(hAPP(c_member(_u15057), _u15063), _u15061)) | ( _u15062 = hAPP(hAPP(_u15059, _u15063), skolem404(_u15063, _u15062, _u15061, _u15060, _u15059, _u15058, _u15057))) )).
% 12.29/12.55 cnf(matrix-6582, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15057, _u15058, _u15059) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15057, _u15058, _u15059, _u15060, _u15061), _u15062)) | ~hBOOL(hAPP(hAPP(c_member(_u15057), _u15063), _u15061)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15057, _u15058, _u15059, _u15060, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15057, tc_HOL_Obool)), _u15061), hAPP(hAPP(c_Set_Oinsert(_u15057), _u15063), c_Orderings_Obot__class_Obot(tc_fun(_u15057, tc_HOL_Obool))))), skolem404(_u15063, _u15062, _u15061, _u15060, _u15059, _u15058, _u15057))) )).
% 12.29/12.55 cnf(matrix-6583, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15065, _u15066, _u15067) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15065, _u15066, _u15067, _u15068, hAPP(hAPP(c_Set_Oinsert(_u15065), _u15069), _u15070)), _u15071)) | hBOOL(hAPP(hAPP(c_member(_u15065), _u15069), _u15070)) | ( _u15071 = hAPP(hAPP(_u15067, _u15069), skolem405(_u15071, _u15070, _u15069, _u15068, _u15067, _u15066, _u15065))) )).
% 12.29/12.55 cnf(matrix-6584, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15065, _u15066, _u15067) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15065, _u15066, _u15067, _u15068, hAPP(hAPP(c_Set_Oinsert(_u15065), _u15069), _u15070)), _u15071)) | hBOOL(hAPP(hAPP(c_member(_u15065), _u15069), _u15070)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15065, _u15066, _u15067, _u15068, _u15070), skolem405(_u15071, _u15070, _u15069, _u15068, _u15067, _u15066, _u15065))) )).
% 12.29/12.55 cnf(matrix-6585, plain, ( ~class_Orderings_Olinorder(_u15073) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15073), _u15074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15073), hAPP(hAPP(c_Finite__Set_Ofold(_u15073, _u15073, c_Orderings_Oord__class_Omax(_u15073)), _u15076), _u15074)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15073), _u15075), _u15076))) | hBOOL(hAPP(hAPP(c_member(_u15073), skolem406(_u15076, _u15075, _u15074, _u15073)), _u15074)) )).
% 12.29/12.55 cnf(matrix-6586, plain, ( ~class_Orderings_Olinorder(_u15073) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15073), _u15074)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15073), hAPP(hAPP(c_Finite__Set_Ofold(_u15073, _u15073, c_Orderings_Oord__class_Omax(_u15073)), _u15076), _u15074)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15073), _u15075), _u15076))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15073), skolem406(_u15076, _u15075, _u15074, _u15073)), _u15075)) )).
% 12.29/12.55 cnf(matrix-6587, plain, ( ~class_Orderings_Olinorder(_u15078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15078), _u15079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15078), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15078), _u15080), _u15081)), hAPP(hAPP(c_Finite__Set_Ofold(_u15078, _u15078, c_Orderings_Oord__class_Omin(_u15078)), _u15081), _u15079))) | hBOOL(hAPP(hAPP(c_member(_u15078), skolem407(_u15081, _u15080, _u15079, _u15078)), _u15079)) )).
% 12.29/12.55 cnf(matrix-6588, plain, ( ~class_Orderings_Olinorder(_u15078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15078), _u15079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15078), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15078), _u15080), _u15081)), hAPP(hAPP(c_Finite__Set_Ofold(_u15078, _u15078, c_Orderings_Oord__class_Omin(_u15078)), _u15081), _u15079))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15078), _u15080), skolem407(_u15081, _u15080, _u15079, _u15078))) )).
% 12.29/12.55 cnf(matrix-6589, plain, ( ~class_Lattices_Osemilattice__inf(_u15083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15083), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15083), _u15085), _u15086)), hAPP(hAPP(c_Finite__Set_Ofold(_u15083, _u15083, c_Lattices_Osemilattice__inf__class_Oinf(_u15083)), _u15086), _u15084))) | hBOOL(hAPP(hAPP(c_member(_u15083), skolem408(_u15086, _u15085, _u15084, _u15083)), _u15084)) )).
% 12.29/12.55 cnf(matrix-6590, plain, ( ~class_Lattices_Osemilattice__inf(_u15083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15083), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15083), _u15085), _u15086)), hAPP(hAPP(c_Finite__Set_Ofold(_u15083, _u15083, c_Lattices_Osemilattice__inf__class_Oinf(_u15083)), _u15086), _u15084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15083), _u15085), skolem408(_u15086, _u15085, _u15084, _u15083))) )).
% 12.29/12.55 cnf(matrix-6591, plain, ( ~class_Lattices_Osemilattice__sup(_u15088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15088), _u15089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15088), hAPP(hAPP(c_Finite__Set_Ofold(_u15088, _u15088, c_Lattices_Osemilattice__sup__class_Osup(_u15088)), _u15091), _u15089)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15088), _u15090), _u15091))) | hBOOL(hAPP(hAPP(c_member(_u15088), skolem409(_u15091, _u15090, _u15089, _u15088)), _u15089)) )).
% 12.29/12.55 cnf(matrix-6592, plain, ( ~class_Lattices_Osemilattice__sup(_u15088) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15088), _u15089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15088), hAPP(hAPP(c_Finite__Set_Ofold(_u15088, _u15088, c_Lattices_Osemilattice__sup__class_Osup(_u15088)), _u15091), _u15089)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15088), _u15090), _u15091))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15088), skolem409(_u15091, _u15090, _u15089, _u15088)), _u15090)) )).
% 12.29/12.55 cnf(matrix-6593, plain, ( ~class_Divides_Osemiring__div(_u15092) | ( _u15093 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15092), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15092), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u15092), _u15093), _u15094)), _u15094)), c_Divides_Odiv__class_Omod(_u15092, _u15093, _u15094))) )).
% 12.29/12.55 cnf(matrix-6594, plain, ( ~c_Wellfounded_Owf(_u15105, _u15107) | ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15095), _u15098)) | hBOOL(hAPP(hAPP(c_member(_u15105), skolem410(_u15107, _u15105, _u15098)), _u15098)) )).
% 12.29/12.55 cnf(matrix-6595, plain, ( ~c_Wellfounded_Owf(_u15105, _u15107) | ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15095), _u15098)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15105, _u15105)), hAPP(hAPP(c_Product__Type_OPair(_u15105, _u15105), _u15096), skolem410(_u15107, _u15105, _u15098))), _u15107)) | ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15096), _u15098)) )).
% 12.29/12.55 cnf(matrix-6596, plain, ( c_Wellfounded_Owf(_u15106, _u15108) | hBOOL(hAPP(hAPP(c_member(_u15106), skolem412(_u15108, _u15106)), skolem411(_u15108, _u15106))) )).
% 12.29/12.55 cnf(matrix-6597, plain, ( c_Wellfounded_Owf(_u15106, _u15108) | ~hBOOL(hAPP(hAPP(c_member(_u15106), _u15101), skolem411(_u15108, _u15106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15106, _u15106)), hAPP(hAPP(c_Product__Type_OPair(_u15106, _u15106), skolem413(_u15108, _u15106, _u15101)), _u15101)), _u15108)) )).
% 12.29/12.55 cnf(matrix-6598, plain, ( c_Wellfounded_Owf(_u15106, _u15108) | ~hBOOL(hAPP(hAPP(c_member(_u15106), _u15101), skolem411(_u15108, _u15106))) | hBOOL(hAPP(hAPP(c_member(_u15106), skolem413(_u15108, _u15106, _u15101)), skolem411(_u15108, _u15106))) )).
% 12.29/12.55 cnf(matrix-6599, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15115)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15110), _u15116)) | ( hAPP(_u15114, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15110, tc_HOL_Obool)), _u15115), _u15116)) = hAPP(hAPP(_u15111, hAPP(_u15114, _u15115)), hAPP(_u15114, _u15116))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15109, _u15110, _u15111, _u15112, _u15113, _u15114) )).
% 12.29/12.55 cnf(matrix-6600, 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)))), _u15118)) = 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)))), _u15119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem414(_u15119, _u15118))) )).
% 12.29/12.55 cnf(matrix-6601, 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)))), _u15118)) = 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)))), _u15119))) | hBOOL(hAPP(_u15118, skolem414(_u15119, _u15118))) | hBOOL(hAPP(_u15119, skolem414(_u15119, _u15118))) )).
% 12.29/12.55 cnf(matrix-6602, 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)))), _u15118)) = 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)))), _u15119))) | ~hBOOL(hAPP(_u15119, skolem414(_u15119, _u15118))) | ~hBOOL(hAPP(_u15118, skolem414(_u15119, _u15118))) )).
% 12.29/12.55 cnf(matrix-6603, plain, ( ( hAPP(hAPP(_u15122, _u15126), _u15126) = _u15126) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15120, _u15121, _u15122, _u15123, _u15124, _u15125) )).
% 12.29/12.55 cnf(matrix-6604, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15128), _u15133)) | ~hBOOL(hAPP(hAPP(c_member(_u15128), _u15134), _u15133)) | ( hAPP(hAPP(_u15129, hAPP(_u15131, _u15134)), hAPP(_u15132, _u15133)) = hAPP(_u15132, _u15133)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15127, _u15128, _u15129, _u15130, _u15131, _u15132) )).
% 12.29/12.55 cnf(matrix-6605, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15136), _u15141)) | ( hAPP(_u15140, hAPP(hAPP(c_Set_Oinsert(_u15136), _u15142), _u15141)) = hAPP(hAPP(_u15137, hAPP(_u15139, _u15142)), hAPP(_u15140, _u15141))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15135, _u15136, _u15137, _u15138, _u15139, _u15140) )).
% 12.29/12.55 cnf(matrix-6606, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15144), _u15149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15144, tc_HOL_Obool)), _u15150), _u15149)) | ( hAPP(hAPP(_u15145, hAPP(_u15148, _u15150)), hAPP(_u15148, _u15149)) = hAPP(_u15148, _u15149)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15143, _u15144, _u15145, _u15146, _u15147, _u15148) )).
% 12.29/12.55 cnf(matrix-6607, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15153), hAPP(c_Set_OCollect(_u15152), _u15155))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15154), hAPP(c_Set_OCollect(_u15152), _u15156)))) | hBOOL(hAPP(hAPP(c_member(_u15152), skolem415(_u15156, _u15155, _u15154, _u15153, _u15152)), _u15153)) )).
% 12.29/12.55 cnf(matrix-6608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15153), hAPP(c_Set_OCollect(_u15152), _u15155))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15154), hAPP(c_Set_OCollect(_u15152), _u15156)))) | hBOOL(hAPP(_u15155, skolem415(_u15156, _u15155, _u15154, _u15153, _u15152))) )).
% 12.29/12.55 cnf(matrix-6609, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), _u15153), _u15154)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15152, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15153), hAPP(c_Set_OCollect(_u15152), _u15155))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15152, tc_HOL_Obool)), _u15154), hAPP(c_Set_OCollect(_u15152), _u15156)))) | ~hBOOL(hAPP(_u15156, skolem415(_u15156, _u15155, _u15154, _u15153, _u15152))) )).
% 12.29/12.55 cnf(matrix-6610, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15159, _u15160)), _u15161), hAPP(c_Relation_Oconverse(_u15160, _u15159), _u15162))) | ( _u15161 = hAPP(hAPP(c_Product__Type_OPair(_u15159, _u15160), skolem417(_u15162, _u15161, _u15160, _u15159)), skolem416(_u15162, _u15161, _u15160, _u15159))) )).
% 12.29/12.55 cnf(matrix-6611, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15159, _u15160)), _u15161), hAPP(c_Relation_Oconverse(_u15160, _u15159), _u15162))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15160, _u15159)), hAPP(hAPP(c_Product__Type_OPair(_u15160, _u15159), skolem416(_u15162, _u15161, _u15160, _u15159)), skolem417(_u15162, _u15161, _u15160, _u15159))), _u15162)) )).
% 12.29/12.55 cnf(matrix-6612, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15167)), _u15168), hAPP(hAPP(c_Relation_Orel__comp(_u15166, _u15169, _u15167), _u15170), _u15171))) | ( _u15168 = hAPP(hAPP(c_Product__Type_OPair(_u15166, _u15167), skolem418(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166)), skolem420(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166))) )).
% 12.29/12.55 cnf(matrix-6613, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15167)), _u15168), hAPP(hAPP(c_Relation_Orel__comp(_u15166, _u15169, _u15167), _u15170), _u15171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15169)), hAPP(hAPP(c_Product__Type_OPair(_u15166, _u15169), skolem418(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166)), skolem419(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166))), _u15170)) )).
% 12.29/12.55 cnf(matrix-6614, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15166, _u15167)), _u15168), hAPP(hAPP(c_Relation_Orel__comp(_u15166, _u15169, _u15167), _u15170), _u15171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15169, _u15167)), hAPP(hAPP(c_Product__Type_OPair(_u15169, _u15167), skolem419(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166)), skolem420(_u15171, _u15170, _u15169, _u15168, _u15167, _u15166))), _u15171)) )).
% 12.29/12.55 cnf(matrix-6615, plain, ( ( c_Nitpick_Oplus__frac(_u15172, _u15173, _u15174) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u15172), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u15172), _u15173), hAPP(c_Nitpick_Odenom(_u15172), _u15174))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u15172), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u15172), tc_Int_Oint), c_Nitpick_Ofrac(_u15172)), 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(_u15172), _u15173))), 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(_u15172), _u15173))))), 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(_u15172), _u15174))), 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(_u15172), _u15174)))))), c_COMBI(tc_Int_Oint)))) )).
% 12.29/12.55 cnf(matrix-6616, plain, ( ( c_Nitpick_Otimes__frac(_u15175, _u15176, _u15177) = hAPP(hAPP(c_Nitpick_Ofrac(_u15175), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15175), _u15176)), hAPP(c_Nitpick_Onum(_u15175), _u15177))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u15175), _u15176)), hAPP(c_Nitpick_Odenom(_u15175), _u15177)))) )).
% 12.29/12.55 cnf(matrix-6617, plain, ( ~class_Rings_Oinverse(_u15178) | ~class_Rings_Oring__1(_u15178) | ( c_Nitpick_Oof__frac(_u15179, _u15178, _u15180) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u15178), hAPP(c_Int_Oring__1__class_Oof__int(_u15178), hAPP(c_Nitpick_Onum(_u15179), _u15180))), hAPP(c_Int_Oring__1__class_Oof__int(_u15178), hAPP(c_Nitpick_Odenom(_u15179), _u15180)))) )).
% 12.29/12.55 cnf(matrix-6618, plain, ( ( c_Nitpick_Oinverse__frac(_u15181, _u15182) = hAPP(hAPP(c_Nitpick_Ofrac(_u15181), hAPP(c_Nitpick_Odenom(_u15181), _u15182)), hAPP(c_Nitpick_Onum(_u15181), _u15182))) )).
% 12.29/12.55 cnf(matrix-6619, plain, ( ( c_Nitpick_Ouminus__frac(_u15183, _u15184) = c_Nitpick_OAbs__Frac(_u15183, 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(_u15183), _u15184))), hAPP(c_Nitpick_Odenom(_u15183), _u15184)))) )).
% 12.29/12.55 cnf(matrix-6620, plain, ( ~c_Nitpick_Oless__frac(_u15188, _u15190, _u15192) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15188), c_Nitpick_Oplus__frac(_u15188, _u15190, c_Nitpick_Ouminus__frac(_u15188, _u15192)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.55 cnf(matrix-6621, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15189), c_Nitpick_Oplus__frac(_u15189, _u15191, c_Nitpick_Ouminus__frac(_u15189, _u15193)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u15189, _u15191, _u15193) )).
% 12.29/12.55 cnf(matrix-6622, plain, ( ~c_Nitpick_Oless__eq__frac(_u15197, _u15199, _u15201) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15197), c_Nitpick_Oplus__frac(_u15197, _u15199, c_Nitpick_Ouminus__frac(_u15197, _u15201)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.29/12.55 cnf(matrix-6623, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15198), c_Nitpick_Oplus__frac(_u15198, _u15200, c_Nitpick_Ouminus__frac(_u15198, _u15202)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u15198, _u15200, _u15202) )).
% 12.29/12.55 cnf(matrix-6624, plain, ( ( c_Nitpick_Onum(_u15203) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15203, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15203))) )).
% 12.29/12.55 cnf(matrix-6625, plain, ( ( c_Nitpick_Odenom(_u15204) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15204, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15204))) )).
% 12.29/12.55 cnf(matrix-6626, plain, ( ~class_Rings_Olinordered__semidom(_u15206) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15206), c_Groups_Ozero__class_Ozero(_u15206)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15207, _u15206), _u15209), _u15208))) | hBOOL(hAPP(hAPP(c_member(_u15207), skolem421(_u15209, _u15208, _u15207, _u15206)), _u15208)) )).
% 12.29/12.55 cnf(matrix-6627, plain, ( ~class_Rings_Olinordered__semidom(_u15206) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15206), c_Groups_Ozero__class_Ozero(_u15206)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15207, _u15206), _u15209), _u15208))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15206), c_Groups_Ozero__class_Ozero(_u15206)), hAPP(_u15209, skolem421(_u15209, _u15208, _u15207, _u15206)))) )).
% 12.29/12.55 cnf(matrix-6628, plain, ( ( c_Product__Type_Ointernal__split(_u15210, _u15211, _u15212) = c_Product__Type_Oprod_Oprod__case(_u15210, _u15211, _u15212)) )).
% 12.29/12.55 cnf(matrix-6629, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u15213, _u15214, _u15215), _u15216), hAPP(hAPP(c_Product__Type_OPair(_u15213, _u15214), _u15217), _u15218)) = hAPP(hAPP(_u15216, _u15217), _u15218)) )).
% 12.29/12.55 cnf(matrix-6630, plain, ( ~class_Rings_Olinordered__semidom(_u15220) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15220), c_Groups_Ozero__class_Ozero(_u15220)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15221, _u15220), _u15223), _u15222))) | hBOOL(hAPP(hAPP(c_member(_u15221), skolem422(_u15223, _u15222, _u15221, _u15220)), _u15222)) )).
% 12.29/12.55 cnf(matrix-6631, plain, ( ~class_Rings_Olinordered__semidom(_u15220) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15220), c_Groups_Ozero__class_Ozero(_u15220)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15221, _u15220), _u15223), _u15222))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15220), c_Groups_Ozero__class_Ozero(_u15220)), hAPP(_u15223, skolem422(_u15223, _u15222, _u15221, _u15220)))) )).
% 12.29/12.55 cnf(matrix-6632, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6633, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem423(_u15226, _u15225)), hAPP(_u15225, skolem423(_u15226, _u15225)))) | 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)), _u15225)), _u15226)))) )).
% 12.29/12.55 cnf(matrix-6635, plain, ( ( c_List_Olenlex(_u15227, _u15228) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u15227)), tc_List_Olist(_u15227)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u15227), c_Wellfounded_Oless__than, c_List_Olex(_u15227, _u15228))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15227), tc_List_Olist(_u15227), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15227))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u15227), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15227))), tc_List_Olist(_u15227)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u15227))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15227)))), c_COMBI(tc_List_Olist(_u15227))))) )).
% 12.29/12.55 cnf(matrix-6636, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15229), tc_List_Olist(_u15229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15229), tc_List_Olist(_u15229)), _u15230), _u15231)), hAPP(c_List_Olexn(_u15229, _u15232), _u15233))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15229)), _u15230) = _u15233) )).
% 12.29/12.55 cnf(matrix-6637, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15229), tc_List_Olist(_u15229))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15229), tc_List_Olist(_u15229)), _u15230), _u15231)), hAPP(c_List_Olexn(_u15229, _u15232), _u15233))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15229)), _u15231) = _u15233) )).
% 12.29/12.55 cnf(matrix-6638, plain, ( ( _u15235 != _u15236) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15234)), _u15235) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15234)), _u15236)) )).
% 12.29/12.55 cnf(matrix-6639, plain, ( ( c_List_Olenlex(_u15237, _u15238) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15237), tc_List_Olist(_u15237), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBS(tc_List_Olist(_u15237), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15237)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15237)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15237))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15237)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBS(tc_List_Olist(_u15237), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15237)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15237)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15237), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15237))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15237)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15237)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15237), tc_HOL_Obool)), tc_List_Olist(_u15237)), c_COMBC(tc_List_Olist(_u15237), tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15237), tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237))), tc_fun(tc_List_Olist(_u15237), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u15237)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15237)), c_member(tc_prod(tc_List_Olist(_u15237), tc_List_Olist(_u15237))))), c_Product__Type_OPair(tc_List_Olist(_u15237), tc_List_Olist(_u15237))))), c_List_Olex(_u15237, _u15238))))))) )).
% 12.29/12.55 cnf(matrix-6640, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15239))), c_Enum_Osublists(_u15239, _u15240)) = 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(_u15239)), _u15240))) )).
% 12.29/12.55 cnf(matrix-6641, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15241)), c_List_Osublist(_u15241, _u15242, _u15243)) = 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(_u15241)), _u15242)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15243))))) )).
% 12.29/12.55 cnf(matrix-6642, plain, ( ( hAPP(c_List_Olexn(_u15244, _u15245), hAPP(c_Nat_OSuc, _u15246)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u15244), tc_List_Olist(_u15244)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u15244, tc_List_Olist(_u15244)), tc_prod(_u15244, tc_List_Olist(_u15244))), tc_prod(tc_List_Olist(_u15244), tc_List_Olist(_u15244)), c_Product__Type_Omap__pair(tc_prod(_u15244, tc_List_Olist(_u15244)), tc_List_Olist(_u15244), tc_prod(_u15244, tc_List_Olist(_u15244)), tc_List_Olist(_u15244), hAPP(c_Product__Type_Oprod_Oprod__case(_u15244, tc_List_Olist(_u15244), tc_List_Olist(_u15244)), c_List_Olist_OCons(_u15244)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15244, tc_List_Olist(_u15244), tc_List_Olist(_u15244)), c_List_Olist_OCons(_u15244)))), c_Wellfounded_Olex__prod(_u15244, tc_List_Olist(_u15244), _u15245, hAPP(c_List_Olexn(_u15244, _u15245), _u15246)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15244), tc_List_Olist(_u15244))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15244), tc_List_Olist(_u15244), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15244), tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15244), tc_HOL_Obool)), tc_List_Olist(_u15244)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15244))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15244)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15244), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15244)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15244)))), hAPP(c_Nat_OSuc, _u15246))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15244), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15244)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15244)))), hAPP(c_Nat_OSuc, _u15246))))))) )).
% 12.29/12.55 cnf(matrix-6643, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), _u15253), _u15255)), c_List_Olex(_u15251, _u15257))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), _u15253), _u15255)), c_List_Olexord(_u15251, _u15257))) )).
% 12.29/12.55 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15251), tc_List_Olist(_u15251))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15251), tc_List_Olist(_u15251)), _u15253), _u15255)), c_List_Olex(_u15251, _u15257))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15251)), _u15253) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15251)), _u15255)) )).
% 12.29/12.55 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15252), tc_List_Olist(_u15252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15252), tc_List_Olist(_u15252)), _u15254), _u15256)), c_List_Olexord(_u15252, _u15258))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15252)), _u15254) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15252)), _u15256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15252), tc_List_Olist(_u15252))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15252), tc_List_Olist(_u15252)), _u15254), _u15256)), c_List_Olex(_u15252, _u15258))) )).
% 12.29/12.55 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15265), tc_List_Olist(_u15265))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15265), tc_List_Olist(_u15265)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15267), _u15269)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15271), _u15273))), c_List_Olexord(_u15265, _u15275))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15265, _u15265)), hAPP(hAPP(c_Product__Type_OPair(_u15265, _u15265), _u15267), _u15271)), _u15275)) | ( _u15267 = _u15271) )).
% 12.29/12.55 cnf(matrix-6647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15265), tc_List_Olist(_u15265))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15265), tc_List_Olist(_u15265)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15267), _u15269)), hAPP(hAPP(c_List_Olist_OCons(_u15265), _u15271), _u15273))), c_List_Olexord(_u15265, _u15275))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15265, _u15265)), hAPP(hAPP(c_Product__Type_OPair(_u15265, _u15265), _u15267), _u15271)), _u15275)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15265), tc_List_Olist(_u15265))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15265), tc_List_Olist(_u15265)), _u15269), _u15273)), c_List_Olexord(_u15265, _u15275))) )).
% 12.29/12.55 cnf(matrix-6648, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15266), tc_List_Olist(_u15266))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15266), tc_List_Olist(_u15266)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15268), _u15270)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15272), _u15274))), c_List_Olexord(_u15266, _u15276))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15266, _u15266)), hAPP(hAPP(c_Product__Type_OPair(_u15266, _u15266), _u15268), _u15272)), _u15276)) )).
% 12.29/12.55 cnf(matrix-6649, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15266), tc_List_Olist(_u15266))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15266), tc_List_Olist(_u15266)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15268), _u15270)), hAPP(hAPP(c_List_Olist_OCons(_u15266), _u15272), _u15274))), c_List_Olexord(_u15266, _u15276))) | ( _u15268 != _u15272) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15266), tc_List_Olist(_u15266))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15266), tc_List_Olist(_u15266)), _u15270), _u15274)), c_List_Olexord(_u15266, _u15276))) )).
% 12.29/12.55 cnf(matrix-6650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15277)), _u15278)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15277)), _u15279))) | ( _u15278 != hAPP(hAPP(c_List_Olist_OCons(_u15277), _u15280), _u15279)) )).
% 12.29/12.55 cnf(matrix-6651, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15288), _u15290) != hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15292), _u15294)) | ( _u15288 = _u15292) )).
% 12.29/12.55 cnf(matrix-6652, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15288), _u15290) != hAPP(hAPP(c_List_Olist_OCons(_u15286), _u15292), _u15294)) | ( _u15290 = _u15294) )).
% 12.29/12.55 cnf(matrix-6653, plain, ( ( _u15289 != _u15293) | ( _u15291 != _u15295) | ( hAPP(hAPP(c_List_Olist_OCons(_u15287), _u15289), _u15291) = hAPP(hAPP(c_List_Olist_OCons(_u15287), _u15293), _u15295)) )).
% 12.29/12.55 cnf(matrix-6654, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15296), _u15297), _u15298) != _u15298) )).
% 12.29/12.55 cnf(matrix-6655, plain, ( ( _u15299 != hAPP(hAPP(c_List_Olist_OCons(_u15300), _u15301), _u15299)) )).
% 12.29/12.55 cnf(matrix-6656, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15302)), hAPP(hAPP(c_List_Olist_OCons(_u15302), _u15303), _u15304)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15302)), _u15304)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-6657, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15311, _u15311)), hAPP(hAPP(c_Product__Type_OPair(_u15311, _u15311), _u15313), _u15317)), _u15321)) | ( _u15313 = _u15317) )).
% 12.29/12.55 cnf(matrix-6658, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15311, _u15311)), hAPP(hAPP(c_Product__Type_OPair(_u15311, _u15311), _u15313), _u15317)), _u15321)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), _u15315), _u15319)), c_List_Olex(_u15311, _u15321))) )).
% 12.29/12.55 cnf(matrix-6659, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15319)) | ( _u15313 = _u15317) )).
% 12.29/12.55 cnf(matrix-6660, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15313), _u15315)), hAPP(hAPP(c_List_Olist_OCons(_u15311), _u15317), _u15319))), c_List_Olex(_u15311, _u15321))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15315) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15311)), _u15319)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15311), tc_List_Olist(_u15311))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15311), tc_List_Olist(_u15311)), _u15315), _u15319)), c_List_Olex(_u15311, _u15321))) )).
% 12.29/12.55 cnf(matrix-6661, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15312), tc_List_Olist(_u15312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15312), tc_List_Olist(_u15312)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15314), _u15316)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15318), _u15320))), c_List_Olex(_u15312, _u15322))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15312, _u15312)), hAPP(hAPP(c_Product__Type_OPair(_u15312, _u15312), _u15314), _u15318)), _u15322)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15316) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15312)), _u15320)) )).
% 12.29/12.55 cnf(matrix-6662, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15312), tc_List_Olist(_u15312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15312), tc_List_Olist(_u15312)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15314), _u15316)), hAPP(hAPP(c_List_Olist_OCons(_u15312), _u15318), _u15320))), c_List_Olex(_u15312, _u15322))) | ( _u15314 != _u15318) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15312), tc_List_Olist(_u15312))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15312), tc_List_Olist(_u15312)), _u15316), _u15320)), c_List_Olex(_u15312, _u15322))) )).
% 12.29/12.55 cnf(matrix-6663, plain, ( ( c_List_Oset__Cons(_u15323, _u15324, _u15325) = hAPP(c_Set_OCollect(tc_List_Olist(_u15323)), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15323)), c_HOL_OEx(_u15323)), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_HOL_Obool), tc_List_Olist(_u15323)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_HOL_Obool, _u15323), c_HOL_OEx(tc_List_Olist(_u15323)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15323), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_fun(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_List_Olist(_u15323)), c_COMBS(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15323, tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_List_Olist(_u15323)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), _u15323), c_COMBS(tc_List_Olist(_u15323), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15323)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15323), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15323)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15323), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323))), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323)), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_fun(tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323))), tc_fun(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool))), tc_List_Olist(_u15323)), c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323)), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), _u15323)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15323), tc_List_Olist(_u15323)), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), tc_List_Olist(_u15323)), c_COMBB(tc_List_Olist(_u15323), tc_HOL_Obool, tc_List_Olist(_u15323))), c_fequal))), c_List_Olist_OCons(_u15323)))))), hAPP(hAPP(c_COMBC(_u15323, tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool)), _u15323), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15323))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15323), c_fconj), hAPP(hAPP(c_COMBC(_u15323, tc_fun(_u15323, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15323)), _u15324)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15323), tc_fun(tc_List_Olist(_u15323), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15323))), _u15325))))))) )).
% 12.29/12.55 cnf(matrix-6664, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15330), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15332), _u15334))) | ( hAPP(c_Random_Opick(_u15332, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15332)), _u15334), _u15336)), _u15330) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15332), _u15334)) )).
% 12.29/12.55 cnf(matrix-6665, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15331), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15333), _u15335))) | ( hAPP(c_Random_Opick(_u15333, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15333)), _u15335), _u15337)), _u15331) = hAPP(c_Random_Opick(_u15333, _u15337), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15331), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15333), _u15335)))) )).
% 12.29/12.55 cnf(matrix-6666, plain, ( ( c_Random_Oselect__weight(_u15338, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15338)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15338), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15339)), _u15340)) = c_Random_Oselect__weight(_u15338, _u15340)) )).
% 12.29/12.55 cnf(matrix-6667, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15341, _u15341)), hAPP(hAPP(c_Product__Type_OPair(_u15341, _u15341), _u15342), _u15343)), c_Transitive__Closure_Ortrancl(_u15341, _u15344))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15341), tc_List_Olist(_u15341))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15341), tc_List_Olist(_u15341)), _u15345), _u15346)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15341), c_List_Olistrel1(_u15341, _u15344)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15341), tc_List_Olist(_u15341))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15341), tc_List_Olist(_u15341)), hAPP(hAPP(c_List_Olist_OCons(_u15341), _u15342), _u15345)), hAPP(hAPP(c_List_Olist_OCons(_u15341), _u15343), _u15346))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15341), c_List_Olistrel1(_u15341, _u15344)))) )).
% 12.29/12.55 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15347), _u15348), c_Wellfounded_Oacc(_u15347, _u15349))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15347)), _u15350), c_Wellfounded_Oacc(tc_List_Olist(_u15347), c_List_Olistrel1(_u15347, _u15349)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15347)), hAPP(hAPP(c_List_Olist_OCons(_u15347), _u15348), _u15350)), c_Wellfounded_Oacc(tc_List_Olist(_u15347), c_List_Olistrel1(_u15347, _u15349)))) )).
% 12.29/12.55 cnf(matrix-6669, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15351), tc_List_Olist(_u15351)), tc_HOL_Obool)), c_List_Olistrel1(_u15351, c_Transitive__Closure_Ortrancl(_u15351, _u15352))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15351), c_List_Olistrel1(_u15351, _u15352)))) )).
% 12.29/12.55 cnf(matrix-6670, plain, ( ( c_List_Olistrel1(_u15353, hAPP(c_Relation_Oconverse(_u15353, _u15353), _u15354)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15353), tc_List_Olist(_u15353)), c_List_Olistrel1(_u15353, _u15354))) )).
% 12.29/12.55 cnf(matrix-6671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15355, _u15355), tc_HOL_Obool)), _u15356), _u15357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15355), tc_List_Olist(_u15355)), tc_HOL_Obool)), c_List_Olistrel1(_u15355, _u15356)), c_List_Olistrel1(_u15355, _u15357))) )).
% 12.29/12.55 cnf(matrix-6672, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15358), tc_List_Olist(_u15358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15358), tc_List_Olist(_u15358)), _u15359), _u15360)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15358), c_List_Olistrel1(_u15358, _u15361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15358), tc_List_Olist(_u15358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15358), tc_List_Olist(_u15358)), hAPP(hAPP(c_List_Olist_OCons(_u15358), _u15362), _u15359)), hAPP(hAPP(c_List_Olist_OCons(_u15358), _u15362), _u15360))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15358), c_List_Olistrel1(_u15358, _u15361)))) )).
% 12.29/12.55 cnf(matrix-6673, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15363), tc_List_Olist(_u15363))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15363), tc_List_Olist(_u15363)), _u15364), _u15365)), c_List_Olistrel1(_u15363, _u15366))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15363), tc_List_Olist(_u15363))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15363), tc_List_Olist(_u15363)), hAPP(hAPP(c_List_Olist_OCons(_u15363), _u15367), _u15364)), hAPP(hAPP(c_List_Olist_OCons(_u15363), _u15367), _u15365))), c_List_Olistrel1(_u15363, _u15366))) )).
% 12.29/12.55 cnf(matrix-6674, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15368), tc_List_Olist(_u15368))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15368), tc_List_Olist(_u15368)), _u15369), _u15370)), c_List_Olistrel1(_u15368, _u15371))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15368)), _u15369) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15368)), _u15370)) )).
% 12.29/12.55 cnf(matrix-6675, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15372), tc_List_Olist(_u15372))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15372), tc_List_Olist(_u15372)), _u15373), _u15374)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15372), c_List_Olistrel1(_u15372, _u15375)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15373) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15372)), _u15374)) )).
% 12.29/12.55 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15380), tc_List_Olist(_u15380))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15380), tc_List_Olist(_u15380)), _u15382), _u15384)), c_List_Olistrel1(_u15380, hAPP(c_Relation_Oconverse(_u15380, _u15380), _u15386)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15380), tc_List_Olist(_u15380))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15380), tc_List_Olist(_u15380)), _u15382), _u15384)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15380), tc_List_Olist(_u15380)), c_List_Olistrel1(_u15380, _u15386)))) )).
% 12.29/12.55 cnf(matrix-6677, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15381), tc_List_Olist(_u15381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15381), tc_List_Olist(_u15381)), _u15383), _u15385)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15381), tc_List_Olist(_u15381)), c_List_Olistrel1(_u15381, _u15387)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15381), tc_List_Olist(_u15381))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15381), tc_List_Olist(_u15381)), _u15383), _u15385)), c_List_Olistrel1(_u15381, hAPP(c_Relation_Oconverse(_u15381, _u15381), _u15387)))) )).
% 12.29/12.55 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15388, _u15388)), hAPP(hAPP(c_Product__Type_OPair(_u15388, _u15388), _u15389), _u15390)), _u15391)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15388), tc_List_Olist(_u15388))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15388), tc_List_Olist(_u15388)), hAPP(hAPP(c_List_Olist_OCons(_u15388), _u15389), _u15392)), hAPP(hAPP(c_List_Olist_OCons(_u15388), _u15390), _u15392))), c_List_Olistrel1(_u15388, _u15391))) )).
% 12.29/12.55 cnf(matrix-6679, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15399, _u15399)), hAPP(hAPP(c_Product__Type_OPair(_u15399, _u15399), _u15401), _u15405)), _u15409)) | ( _u15401 = _u15405) )).
% 12.29/12.55 cnf(matrix-6680, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15399, _u15399)), hAPP(hAPP(c_Product__Type_OPair(_u15399, _u15399), _u15401), _u15405)), _u15409)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), _u15403), _u15407)), c_List_Olistrel1(_u15399, _u15409))) )).
% 12.29/12.55 cnf(matrix-6681, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | ( _u15403 = _u15407) | ( _u15401 = _u15405) )).
% 12.29/12.55 cnf(matrix-6682, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15401), _u15403)), hAPP(hAPP(c_List_Olist_OCons(_u15399), _u15405), _u15407))), c_List_Olistrel1(_u15399, _u15409))) | ( _u15403 = _u15407) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15399), tc_List_Olist(_u15399))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15399), tc_List_Olist(_u15399)), _u15403), _u15407)), c_List_Olistrel1(_u15399, _u15409))) )).
% 12.29/12.55 cnf(matrix-6683, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15400), tc_List_Olist(_u15400))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15400), tc_List_Olist(_u15400)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15402), _u15404)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15406), _u15408))), c_List_Olistrel1(_u15400, _u15410))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15400, _u15400)), hAPP(hAPP(c_Product__Type_OPair(_u15400, _u15400), _u15402), _u15406)), _u15410)) | ( _u15404 != _u15408) )).
% 12.29/12.55 cnf(matrix-6684, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15400), tc_List_Olist(_u15400))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15400), tc_List_Olist(_u15400)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15402), _u15404)), hAPP(hAPP(c_List_Olist_OCons(_u15400), _u15406), _u15408))), c_List_Olistrel1(_u15400, _u15410))) | ( _u15402 != _u15406) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15400), tc_List_Olist(_u15400))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15400), tc_List_Olist(_u15400)), _u15404), _u15408)), c_List_Olistrel1(_u15400, _u15410))) )).
% 12.29/12.55 cnf(matrix-6685, plain, ( ( c_List_Olist_Olist__size(_u15411, _u15412, hAPP(hAPP(c_List_Olist_OCons(_u15411), _u15413), _u15414)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15412, _u15413)), c_List_Olist_Olist__size(_u15411, _u15412, _u15414))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-6686, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15415), tc_List_Olist(_u15415), c_List_Olistrel(_u15415, _u15416)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15415)), hAPP(hAPP(c_List_Olist_OCons(_u15415), _u15417), _u15418)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15415), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15415, hAPP(c_Relation_OImage(_u15415, _u15415, _u15416), hAPP(hAPP(c_Set_Oinsert(_u15415), _u15417), c_Orderings_Obot__class_Obot(tc_fun(_u15415, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15415), tc_List_Olist(_u15415), c_List_Olistrel(_u15415, _u15416)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15415)), _u15418), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15415), tc_HOL_Obool)))))) )).
% 12.29/12.55 cnf(matrix-6687, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15419), tc_List_Olist(_u15419))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15419), tc_List_Olist(_u15419)), _u15420), _u15420)), c_List_Olistrel(_u15419, c_Transitive__Closure_Ortrancl(_u15419, _u15421)))) )).
% 12.29/12.55 cnf(matrix-6688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15422, _u15422), tc_HOL_Obool)), _u15423), _u15424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15422), tc_List_Olist(_u15422)), tc_HOL_Obool)), c_List_Olistrel(_u15422, _u15423)), c_List_Olistrel(_u15422, _u15424))) )).
% 12.29/12.55 cnf(matrix-6689, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15425), tc_List_Olist(_u15425)), tc_HOL_Obool)), c_List_Olistrel(_u15425, _u15426)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15425), c_List_Olistrel1(_u15425, _u15426)))) )).
% 12.29/12.55 cnf(matrix-6690, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15427), tc_List_Olist(_u15427))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15427), tc_List_Olist(_u15427)), _u15428), _u15429)), c_List_Olistrel(_u15427, _u15430))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15427)), _u15428) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15427)), _u15429)) )).
% 12.29/12.55 cnf(matrix-6691, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15431), tc_List_Olist(_u15431))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15431), tc_List_Olist(_u15431)), _u15432), _u15433)), c_List_Olistrel(_u15431, c_Transitive__Closure_Ortrancl(_u15431, _u15434)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15431), tc_List_Olist(_u15431))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15431), tc_List_Olist(_u15431)), _u15433), _u15435)), c_List_Olistrel(_u15431, c_Transitive__Closure_Ortrancl(_u15431, _u15434)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15431), tc_List_Olist(_u15431))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15431), tc_List_Olist(_u15431)), _u15432), _u15435)), c_List_Olistrel(_u15431, c_Transitive__Closure_Ortrancl(_u15431, _u15434)))) )).
% 12.29/12.55 cnf(matrix-6692, plain, ( ( c_List_Olistrel(_u15436, c_Transitive__Closure_Ortrancl(_u15436, _u15437)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15436), c_List_Olistrel1(_u15436, _u15437))) )).
% 12.29/12.55 cnf(matrix-6693, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15438), tc_List_Olist(_u15438))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15438), tc_List_Olist(_u15438)), _u15439), _u15440)), c_List_Olistrel1(_u15438, _u15441))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15438), tc_List_Olist(_u15438))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15438), tc_List_Olist(_u15438)), _u15439), _u15440)), c_List_Olistrel(_u15438, c_Transitive__Closure_Ortrancl(_u15438, _u15441)))) )).
% 12.29/12.55 cnf(matrix-6694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15442, _u15442), tc_HOL_Obool)), _u15443), _u15444)) | ~c_Relation_Orefl__on(_u15442, c_Orderings_Otop__class_Otop(tc_fun(_u15442, tc_HOL_Obool)), _u15444) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15442), tc_List_Olist(_u15442)), tc_HOL_Obool)), c_List_Olistrel1(_u15442, _u15443)), c_List_Olistrel(_u15442, _u15444))) )).
% 12.29/12.55 cnf(matrix-6695, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15445), tc_List_Olist(_u15445))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15445), tc_List_Olist(_u15445)), _u15446), _u15447)), c_List_Olistrel(_u15445, _u15448))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15445), tc_List_Olist(_u15445))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15445), tc_List_Olist(_u15445)), _u15446), _u15447)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15445), c_List_Olistrel1(_u15445, _u15448)))) )).
% 12.29/12.55 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15449, _u15449)), hAPP(hAPP(c_Product__Type_OPair(_u15449, _u15449), _u15450), _u15451)), _u15452)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15449), tc_List_Olist(_u15449))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15449), tc_List_Olist(_u15449)), _u15453), _u15454)), c_List_Olistrel(_u15449, _u15452))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15449), tc_List_Olist(_u15449))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15449), tc_List_Olist(_u15449)), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15450), _u15453)), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15451), _u15454))), c_List_Olistrel(_u15449, _u15452))) )).
% 12.29/12.55 cnf(matrix-6697, plain, ( ~c_List_Olistrelp(_u15459, hAPP(hAPP(c_COMBC(_u15459, tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_fun(_u15459, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15459, tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_fun(_u15459, tc_HOL_Obool)), _u15459), c_COMBC(_u15459, tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15459, tc_prod(_u15459, _u15459)), tc_fun(_u15459, tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool)), _u15459), hAPP(c_COMBB(tc_prod(_u15459, _u15459), tc_fun(tc_fun(tc_prod(_u15459, _u15459), tc_HOL_Obool), tc_HOL_Obool), _u15459), c_member(tc_prod(_u15459, _u15459)))), c_Product__Type_OPair(_u15459, _u15459)))), _u15461), _u15463, _u15465) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15459), tc_List_Olist(_u15459))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15459), tc_List_Olist(_u15459)), _u15463), _u15465)), c_List_Olistrel(_u15459, _u15461))) )).
% 12.29/12.55 cnf(matrix-6698, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15460), tc_List_Olist(_u15460))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15460), tc_List_Olist(_u15460)), _u15464), _u15466)), c_List_Olistrel(_u15460, _u15462))) | c_List_Olistrelp(_u15460, hAPP(hAPP(c_COMBC(_u15460, tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_fun(_u15460, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15460, tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_fun(_u15460, tc_HOL_Obool)), _u15460), c_COMBC(_u15460, tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15460, tc_prod(_u15460, _u15460)), tc_fun(_u15460, tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool)), _u15460), hAPP(c_COMBB(tc_prod(_u15460, _u15460), tc_fun(tc_fun(tc_prod(_u15460, _u15460), tc_HOL_Obool), tc_HOL_Obool), _u15460), c_member(tc_prod(_u15460, _u15460)))), c_Product__Type_OPair(_u15460, _u15460)))), _u15462), _u15464, _u15466) )).
% 12.29/12.55 cnf(matrix-6699, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), _u15470), hAPP(hAPP(c_List_Olist_OCons(_u15469), _u15471), _u15472))), c_List_Olistrel(_u15469, _u15473))) | ( _u15470 = hAPP(hAPP(c_List_Olist_OCons(_u15469), skolem424(_u15473, _u15472, _u15471, _u15470, _u15469)), skolem425(_u15473, _u15472, _u15471, _u15470, _u15469))) )).
% 12.29/12.55 cnf(matrix-6700, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), _u15470), hAPP(hAPP(c_List_Olist_OCons(_u15469), _u15471), _u15472))), c_List_Olistrel(_u15469, _u15473))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15469, _u15469)), hAPP(hAPP(c_Product__Type_OPair(_u15469, _u15469), skolem424(_u15473, _u15472, _u15471, _u15470, _u15469)), _u15471)), _u15473)) )).
% 12.29/12.55 cnf(matrix-6701, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), _u15470), hAPP(hAPP(c_List_Olist_OCons(_u15469), _u15471), _u15472))), c_List_Olistrel(_u15469, _u15473))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15469), tc_List_Olist(_u15469))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15469), tc_List_Olist(_u15469)), skolem425(_u15473, _u15472, _u15471, _u15470, _u15469)), _u15472)), c_List_Olistrel(_u15469, _u15473))) )).
% 12.29/12.55 cnf(matrix-6702, plain, ( ~hBOOL(hAPP(hAPP(_u15474, _u15475), _u15476)) | ~c_List_Olistrelp(_u15477, _u15474, _u15478, _u15479) | c_List_Olistrelp(_u15477, _u15474, hAPP(hAPP(c_List_Olist_OCons(_u15477), _u15475), _u15478), hAPP(hAPP(c_List_Olist_OCons(_u15477), _u15476), _u15479)) )).
% 12.29/12.55 cnf(matrix-6703, plain, ( ~c_List_Olistrelp(_u15486, _u15488, hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15490), _u15492), hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15494), _u15496)) | hBOOL(hAPP(hAPP(_u15488, _u15490), _u15494)) )).
% 12.29/12.55 cnf(matrix-6704, plain, ( ~c_List_Olistrelp(_u15486, _u15488, hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15490), _u15492), hAPP(hAPP(c_List_Olist_OCons(_u15486), _u15494), _u15496)) | c_List_Olistrelp(_u15486, _u15488, _u15492, _u15496) )).
% 12.29/12.55 cnf(matrix-6705, plain, ( ~hBOOL(hAPP(hAPP(_u15489, _u15491), _u15495)) | ~c_List_Olistrelp(_u15487, _u15489, _u15493, _u15497) | c_List_Olistrelp(_u15487, _u15489, hAPP(hAPP(c_List_Olist_OCons(_u15487), _u15491), _u15493), hAPP(hAPP(c_List_Olist_OCons(_u15487), _u15495), _u15497)) )).
% 12.29/12.55 cnf(matrix-6706, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), hAPP(hAPP(c_List_Olist_OCons(_u15500), _u15501), _u15502)), _u15503)), c_List_Olistrel(_u15500, _u15504))) | ( _u15503 = hAPP(hAPP(c_List_Olist_OCons(_u15500), skolem426(_u15504, _u15503, _u15502, _u15501, _u15500)), skolem427(_u15504, _u15503, _u15502, _u15501, _u15500))) )).
% 12.29/12.55 cnf(matrix-6707, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), hAPP(hAPP(c_List_Olist_OCons(_u15500), _u15501), _u15502)), _u15503)), c_List_Olistrel(_u15500, _u15504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15500, _u15500)), hAPP(hAPP(c_Product__Type_OPair(_u15500, _u15500), _u15501), skolem426(_u15504, _u15503, _u15502, _u15501, _u15500))), _u15504)) )).
% 12.29/12.55 cnf(matrix-6708, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), hAPP(hAPP(c_List_Olist_OCons(_u15500), _u15501), _u15502)), _u15503)), c_List_Olistrel(_u15500, _u15504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15500), tc_List_Olist(_u15500))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15500), tc_List_Olist(_u15500)), _u15502), skolem427(_u15504, _u15503, _u15502, _u15501, _u15500))), c_List_Olistrel(_u15500, _u15504))) )).
% 12.29/12.55 cnf(matrix-6709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15505, _u15505), tc_HOL_Obool)), _u15506), hAPP(hAPP(c_Product__Type_OSigma(_u15505, _u15505), _u15507), hAPP(c_COMBK(tc_fun(_u15505, tc_HOL_Obool), _u15505), _u15507)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15505), tc_List_Olist(_u15505)), tc_HOL_Obool)), c_List_Olistrel(_u15505, _u15506)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15505), tc_List_Olist(_u15505)), c_List_Olists(_u15505, _u15507)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15505), tc_HOL_Obool), tc_List_Olist(_u15505)), c_List_Olists(_u15505, _u15507))))) )).
% 12.29/12.55 cnf(matrix-6710, plain, ( ( c_List_Olists(_u15508, c_Orderings_Otop__class_Otop(tc_fun(_u15508, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15508), tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-6711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15509, tc_HOL_Obool)), _u15510), _u15511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15509), tc_HOL_Obool)), c_List_Olists(_u15509, _u15510)), c_List_Olists(_u15509, _u15511))) )).
% 12.29/12.55 cnf(matrix-6712, plain, ( ~c_Equiv__Relations_Oequiv(_u15512, _u15513, _u15514) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15512), c_List_Olists(_u15512, _u15513), c_List_Olistrel(_u15512, _u15514)) )).
% 12.29/12.55 cnf(matrix-6713, plain, ( ~c_Relation_Orefl__on(_u15515, _u15516, _u15517) | c_Relation_Orefl__on(tc_List_Olist(_u15515), c_List_Olists(_u15515, _u15516), c_List_Olistrel(_u15515, _u15517)) )).
% 12.29/12.55 cnf(matrix-6714, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15522)), hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), _u15526)), c_List_Olists(_u15522, _u15528))) | hBOOL(hAPP(hAPP(c_member(_u15522), _u15524), _u15528)) )).
% 12.29/12.55 cnf(matrix-6715, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15522)), hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), _u15526)), c_List_Olists(_u15522, _u15528))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15522)), _u15526), c_List_Olists(_u15522, _u15528))) )).
% 12.29/12.55 cnf(matrix-6716, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15523), _u15525), _u15529)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15523)), _u15527), c_List_Olists(_u15523, _u15529))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15523)), hAPP(hAPP(c_List_Olist_OCons(_u15523), _u15525), _u15527)), c_List_Olists(_u15523, _u15529))) )).
% 12.29/12.55 cnf(matrix-6717, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15530)), _u15531), c_Wellfounded_Oacc(tc_List_Olist(_u15530), c_List_Olistrel1(_u15530, _u15532)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15530)), _u15531), c_List_Olists(_u15530, c_Wellfounded_Oacc(_u15530, _u15532)))) )).
% 12.29/12.55 cnf(matrix-6718, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15533)), _u15534), c_List_Olists(_u15533, c_Wellfounded_Oacc(_u15533, _u15535)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15533)), _u15534), c_Wellfounded_Oacc(tc_List_Olist(_u15533), c_List_Olistrel1(_u15533, _u15535)))) )).
% 12.29/12.55 cnf(matrix-6719, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15542), tc_List_Olist(_u15542))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15542), tc_List_Olist(_u15542)), _u15544), _u15546)), c_List_Olistrel(_u15542, _u15548))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15544) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15546)) )).
% 12.29/12.55 cnf(matrix-6720, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15542), tc_List_Olist(_u15542))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15542), tc_List_Olist(_u15542)), _u15544), _u15546)), c_List_Olistrel(_u15542, _u15548))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15536), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15542)), _u15544))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15542, _u15542)), hAPP(hAPP(c_Product__Type_OPair(_u15542, _u15542), hAPP(hAPP(c_List_Onth(_u15542), _u15544), _u15536)), hAPP(hAPP(c_List_Onth(_u15542), _u15546), _u15536))), _u15548)) )).
% 12.29/12.55 cnf(matrix-6721, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15543), tc_List_Olist(_u15543))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15543), tc_List_Olist(_u15543)), _u15545), _u15547)), c_List_Olistrel(_u15543, _u15549))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15545) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem428(_u15549, _u15547, _u15545, _u15543)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15545))) )).
% 12.29/12.55 cnf(matrix-6722, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15543), tc_List_Olist(_u15543))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15543), tc_List_Olist(_u15543)), _u15545), _u15547)), c_List_Olistrel(_u15543, _u15549))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15545) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15543)), _u15547)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15543, _u15543)), hAPP(hAPP(c_Product__Type_OPair(_u15543, _u15543), hAPP(hAPP(c_List_Onth(_u15543), _u15545), skolem428(_u15549, _u15547, _u15545, _u15543))), hAPP(hAPP(c_List_Onth(_u15543), _u15547), skolem428(_u15549, _u15547, _u15545, _u15543)))), _u15549)) )).
% 12.29/12.55 cnf(matrix-6723, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15551, _u15551)), hAPP(hAPP(c_Product__Type_OPair(_u15551, _u15551), skolem429(_u15553, _u15552, _u15551)), skolem429(_u15553, _u15552, _u15551))), _u15552)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15551), tc_List_Olist(_u15551))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15551), tc_List_Olist(_u15551)), _u15553), _u15553)), c_List_Olexord(_u15551, _u15552))) )).
% 12.29/12.55 cnf(matrix-6724, plain, ( ( hAPP(hAPP(c_List_Onth(_u15554), hAPP(hAPP(c_List_Olist_OCons(_u15554), _u15555), _u15556)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15555) )).
% 12.29/12.55 cnf(matrix-6725, plain, ( ( hAPP(hAPP(c_List_Onth(_u15557), hAPP(hAPP(c_List_Olist_OCons(_u15557), _u15558), _u15559)), hAPP(c_Nat_OSuc, _u15560)) = hAPP(hAPP(c_List_Onth(_u15557), _u15559), _u15560)) )).
% 12.29/12.55 cnf(matrix-6726, plain, ( ( _u15566 != _u15568) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15570)), _u15566) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15570)), _u15568)) )).
% 12.29/12.55 cnf(matrix-6727, plain, ( ( _u15566 != _u15568) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15561), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15570)), _u15566))) | ( hAPP(hAPP(c_List_Onth(_u15570), _u15566), _u15561) = hAPP(hAPP(c_List_Onth(_u15570), _u15568), _u15561)) )).
% 12.29/12.55 cnf(matrix-6728, plain, ( ( _u15567 = _u15569) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15567) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u15571, _u15569, _u15567)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15567))) )).
% 12.29/12.55 cnf(matrix-6729, plain, ( ( _u15567 = _u15569) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15567) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15569)) | ( hAPP(hAPP(c_List_Onth(_u15571), _u15567), skolem430(_u15571, _u15569, _u15567)) != hAPP(hAPP(c_List_Onth(_u15571), _u15569), skolem430(_u15571, _u15569, _u15567))) )).
% 12.29/12.55 cnf(matrix-6730, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15572)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15572), tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-6731, plain, ( ( hAPP(hAPP(c_List_Onth(_u15573), hAPP(hAPP(c_List_Olist_OCons(_u15573), _u15574), _u15575)), _u15576) = c_Nat_Onat_Onat__case(_u15573, _u15574, hAPP(c_List_Onth(_u15573), _u15575), _u15576)) )).
% 12.29/12.55 cnf(matrix-6732, plain, ( ( _u15581 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15583), hAPP(hAPP(c_List_Olist_OCons(_u15583), _u15585), _u15587)), _u15581) = _u15585) )).
% 12.29/12.55 cnf(matrix-6733, plain, ( ( _u15582 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15584), hAPP(hAPP(c_List_Olist_OCons(_u15584), _u15586), _u15588)), _u15582) = hAPP(hAPP(c_List_Onth(_u15584), _u15588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15582), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-6734, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15593) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15595), hAPP(hAPP(c_List_Olist_OCons(_u15595), _u15597), _u15599)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15593)) = _u15597) )).
% 12.29/12.55 cnf(matrix-6735, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15594) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15596), hAPP(hAPP(c_List_Olist_OCons(_u15596), _u15598), _u15600)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15594)) = hAPP(hAPP(c_List_Onth(_u15596), _u15600), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15594)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-6736, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u15613, _u15611, _u15609, _u15607)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611)))) )).
% 12.29/12.55 cnf(matrix-6737, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611))) | ( hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15609) = hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15611)) )).
% 12.29/12.55 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15607, _u15607)), hAPP(hAPP(c_Product__Type_OPair(_u15607, _u15607), hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem431(_u15613, _u15611, _u15609, _u15607))), hAPP(hAPP(c_List_Onth(_u15607), _u15611), skolem431(_u15613, _u15611, _u15609, _u15607)))), _u15613)) )).
% 12.29/12.55 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | ( hAPP(hAPP(c_List_Otake(_u15607), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), _u15611) = _u15609) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u15613, _u15611, _u15609, _u15607)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15611)))) )).
% 12.29/12.55 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | ( hAPP(hAPP(c_List_Otake(_u15607), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), _u15611) = _u15609) | ( hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15609) = hAPP(hAPP(c_List_Otake(_u15607), skolem431(_u15613, _u15611, _u15609, _u15607)), _u15611)) )).
% 12.29/12.55 cnf(matrix-6741, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15607), tc_List_Olist(_u15607))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15607), tc_List_Olist(_u15607)), _u15609), _u15611)), c_List_Olexord(_u15607, _u15613))) | ( hAPP(hAPP(c_List_Otake(_u15607), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15607)), _u15609)), _u15611) = _u15609) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15607, _u15607)), hAPP(hAPP(c_Product__Type_OPair(_u15607, _u15607), hAPP(hAPP(c_List_Onth(_u15607), _u15609), skolem431(_u15613, _u15611, _u15609, _u15607))), hAPP(hAPP(c_List_Onth(_u15607), _u15611), skolem431(_u15613, _u15611, _u15609, _u15607)))), _u15613)) )).
% 12.29/12.55 cnf(matrix-6742, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15608), tc_List_Olist(_u15608))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15608), tc_List_Olist(_u15608)), _u15610), _u15612)), c_List_Olexord(_u15608, _u15614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15610)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15612))) | ( hAPP(hAPP(c_List_Otake(_u15608), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15610)), _u15612) != _u15610) )).
% 12.29/12.55 cnf(matrix-6743, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15608), tc_List_Olist(_u15608))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15608), tc_List_Olist(_u15608)), _u15610), _u15612)), c_List_Olexord(_u15608, _u15614))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15602), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15610)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15608)), _u15612)))) | ( hAPP(hAPP(c_List_Otake(_u15608), _u15602), _u15610) != hAPP(hAPP(c_List_Otake(_u15608), _u15602), _u15612)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15608, _u15608)), hAPP(hAPP(c_Product__Type_OPair(_u15608, _u15608), hAPP(hAPP(c_List_Onth(_u15608), _u15610), _u15602)), hAPP(hAPP(c_List_Onth(_u15608), _u15612), _u15602))), _u15614)) )).
% 12.29/12.55 cnf(matrix-6744, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15619), _u15620)), c_List_Olexord(_u15617, _u15618))) | ( _u15619 = _u15620) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15620), _u15619)), c_List_Olexord(_u15617, _u15618))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15617, _u15617)), hAPP(hAPP(c_Product__Type_OPair(_u15617, _u15617), skolem432(_u15620, _u15619, _u15618, _u15617)), skolem433(_u15620, _u15619, _u15618, _u15617))), _u15618)) )).
% 12.29/12.55 cnf(matrix-6745, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15619), _u15620)), c_List_Olexord(_u15617, _u15618))) | ( _u15619 = _u15620) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15620), _u15619)), c_List_Olexord(_u15617, _u15618))) | ( skolem432(_u15620, _u15619, _u15618, _u15617) != skolem433(_u15620, _u15619, _u15618, _u15617)) )).
% 12.29/12.55 cnf(matrix-6746, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15619), _u15620)), c_List_Olexord(_u15617, _u15618))) | ( _u15619 = _u15620) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15617), tc_List_Olist(_u15617))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15617), tc_List_Olist(_u15617)), _u15620), _u15619)), c_List_Olexord(_u15617, _u15618))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15617, _u15617)), hAPP(hAPP(c_Product__Type_OPair(_u15617, _u15617), skolem433(_u15620, _u15619, _u15618, _u15617)), skolem432(_u15620, _u15619, _u15618, _u15617))), _u15618)) )).
% 12.29/12.55 cnf(matrix-6747, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15621)), _u15622)), _u15623)) | ( hAPP(hAPP(c_List_Otake(_u15621), _u15623), _u15622) = _u15622) )).
% 12.29/12.55 cnf(matrix-6748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15624), _u15625)) | ( hAPP(hAPP(c_List_Onth(_u15626), hAPP(hAPP(c_List_Otake(_u15626), _u15625), _u15627)), _u15624) = hAPP(hAPP(c_List_Onth(_u15626), _u15627), _u15624)) )).
% 12.29/12.55 cnf(matrix-6749, plain, ( ( c_List_Osublist(_u15628, _u15629, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15630)) = hAPP(hAPP(c_List_Otake(_u15628), _u15630), _u15629)) )).
% 12.29/12.55 cnf(matrix-6750, plain, ( ( hAPP(hAPP(c_List_Otake(_u15631), _u15632), hAPP(hAPP(c_List_Otake(_u15631), _u15633), _u15634)) = hAPP(hAPP(c_List_Otake(_u15631), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15632), _u15633)), _u15634)) )).
% 12.29/12.55 cnf(matrix-6751, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15635)), hAPP(hAPP(c_List_Otake(_u15635), _u15636), _u15637)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15635)), _u15637)), _u15636)) )).
% 12.29/12.55 cnf(matrix-6752, plain, ( ( hAPP(hAPP(c_List_Otake(_u15638), hAPP(c_Nat_OSuc, _u15639)), hAPP(hAPP(c_List_Olist_OCons(_u15638), _u15640), _u15641)) = hAPP(hAPP(c_List_Olist_OCons(_u15638), _u15640), hAPP(hAPP(c_List_Otake(_u15638), _u15639), _u15641))) )).
% 12.29/12.55 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15642), _u15643)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15642)), hAPP(c_Set_OCollect(tc_List_Olist(_u15642)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15642), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15642)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15642), tc_fun(_u15642, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15642, tc_HOL_Obool), tc_fun(tc_fun(_u15642, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15642)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15642, tc_HOL_Obool))), c_List_Oset(_u15642))), _u15643))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15642), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15642)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15642)))), _u15644))))) )).
% 12.29/12.55 cnf(matrix-6754, plain, ( ( hAPP(c_List_Oset(_u15645), c_List_Osublist(_u15645, _u15646, _u15647)) = hAPP(c_Set_OCollect(_u15645), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15645), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15645, 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)), _u15645), 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)), _u15645), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15645, tc_fun(tc_Nat_Onat, _u15645), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15645, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15645), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15645), c_COMBB(_u15645, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15645), _u15646))))), 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(_u15645)), _u15646)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15647)))))) )).
% 12.29/12.55 cnf(matrix-6755, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15648), hAPP(c_List_Oset(_u15648), _u15649))) )).
% 12.29/12.55 cnf(matrix-6756, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15650, tc_HOL_Obool)), hAPP(c_List_Oset(_u15650), hAPP(hAPP(c_List_Otake(_u15650), _u15651), _u15652))), hAPP(c_List_Oset(_u15650), _u15652))) )).
% 12.29/12.55 cnf(matrix-6757, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15653), _u15654), hAPP(c_List_Oset(_u15653), hAPP(hAPP(c_List_Otake(_u15653), _u15655), _u15656)))) | hBOOL(hAPP(hAPP(c_member(_u15653), _u15654), hAPP(c_List_Oset(_u15653), _u15656))) )).
% 12.29/12.55 cnf(matrix-6758, plain, ( ( hAPP(c_List_Oset(_u15657), hAPP(hAPP(c_List_Olist_OCons(_u15657), _u15658), _u15659)) = hAPP(hAPP(c_Set_Oinsert(_u15657), _u15658), hAPP(c_List_Oset(_u15657), _u15659))) )).
% 12.29/12.55 cnf(matrix-6759, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15660), _u15661), hAPP(c_List_Oset(_u15660), hAPP(hAPP(c_List_Olist_OCons(_u15660), _u15662), _u15663)))) | ( _u15661 = _u15662) | hBOOL(hAPP(hAPP(c_member(_u15660), _u15661), hAPP(c_List_Oset(_u15660), _u15663))) )).
% 12.29/12.55 cnf(matrix-6760, plain, ( hBOOL(hAPP(hAPP(c_member(_u15664), _u15665), hAPP(c_List_Oset(_u15664), _u15666))) | ~hBOOL(hAPP(hAPP(c_member(_u15664), _u15665), hAPP(c_List_Oset(_u15664), c_List_Osublist(_u15664, _u15666, _u15667)))) )).
% 12.29/12.55 cnf(matrix-6761, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15668), _u15669), hAPP(c_List_Oset(_u15668), c_List_Osublist(_u15668, _u15670, _u15671)))) | hBOOL(hAPP(hAPP(c_member(_u15668), _u15669), hAPP(c_List_Oset(_u15668), _u15670))) )).
% 12.29/12.55 cnf(matrix-6762, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u15672), tc_fun(_u15672, tc_HOL_Obool), c_List_Oset(_u15672)), hAPP(c_List_Oset(tc_List_Olist(_u15672)), c_Enum_Osublists(_u15672, _u15673))) = hAPP(c_Set_OPow(_u15672), hAPP(c_List_Oset(_u15672), _u15673))) )).
% 12.29/12.55 cnf(matrix-6763, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15674, tc_HOL_Obool)), hAPP(c_List_Oset(_u15674), _u15675)), hAPP(c_List_Oset(_u15674), hAPP(hAPP(c_List_Olist_OCons(_u15674), _u15676), _u15675)))) )).
% 12.29/12.55 cnf(matrix-6764, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15677, tc_HOL_Obool)), hAPP(c_List_Oset(_u15677), c_List_Osublist(_u15677, _u15678, _u15679))), hAPP(c_List_Oset(_u15677), _u15678))) )).
% 12.29/12.55 cnf(matrix-6765, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15680), hAPP(c_List_Oset(_u15680), _u15681))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15680)), _u15681))) )).
% 12.29/12.55 cnf(matrix-6766, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15683), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15689)), _u15691))) | hBOOL(hAPP(_u15693, hAPP(hAPP(c_List_Onth(_u15689), _u15691), _u15683))) | hBOOL(hAPP(hAPP(c_member(_u15689), skolem434(_u15693, _u15691, _u15689)), hAPP(c_List_Oset(_u15689), _u15691))) )).
% 12.29/12.55 cnf(matrix-6767, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15683), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15689)), _u15691))) | hBOOL(hAPP(_u15693, hAPP(hAPP(c_List_Onth(_u15689), _u15691), _u15683))) | ~hBOOL(hAPP(_u15693, skolem434(_u15693, _u15691, _u15689))) )).
% 12.29/12.55 cnf(matrix-6768, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15690), _u15685), hAPP(c_List_Oset(_u15690), _u15692))) | hBOOL(hAPP(_u15694, _u15685)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem435(_u15694, _u15692, _u15690)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15690)), _u15692))) )).
% 12.29/12.55 cnf(matrix-6769, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15690), _u15685), hAPP(c_List_Oset(_u15690), _u15692))) | hBOOL(hAPP(_u15694, _u15685)) | ~hBOOL(hAPP(_u15694, hAPP(hAPP(c_List_Onth(_u15690), _u15692), skolem435(_u15694, _u15692, _u15690)))) )).
% 12.29/12.55 cnf(matrix-6770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15695), _u15696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15697, tc_HOL_Obool)), hAPP(c_List_Oset(_u15697), hAPP(hAPP(c_List_Otake(_u15697), _u15695), _u15698))), hAPP(c_List_Oset(_u15697), hAPP(hAPP(c_List_Otake(_u15697), _u15696), _u15698)))) )).
% 12.29/12.55 cnf(matrix-6771, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15699), _u15700), hAPP(c_List_Oset(_u15699), _u15701))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15702), hAPP(_u15703, _u15700))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15702), c_List_Olist_Olist__size(_u15699, _u15703, _u15701))) )).
% 12.29/12.55 cnf(matrix-6772, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15704), _u15705), hAPP(c_List_Oset(_u15704), _u15706))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15707), hAPP(_u15708, _u15705))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15707), c_List_Olist_Olist__size(_u15704, _u15708, _u15706))) )).
% 12.29/12.55 cnf(matrix-6773, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15714)), _u15716), c_List_Olists(_u15714, _u15718))) | ~hBOOL(hAPP(hAPP(c_member(_u15714), _u15709), hAPP(c_List_Oset(_u15714), _u15716))) | hBOOL(hAPP(hAPP(c_member(_u15714), _u15709), _u15718)) )).
% 12.29/12.55 cnf(matrix-6774, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15715)), _u15717), c_List_Olists(_u15715, _u15719))) | hBOOL(hAPP(hAPP(c_member(_u15715), skolem436(_u15719, _u15717, _u15715)), hAPP(c_List_Oset(_u15715), _u15717))) )).
% 12.29/12.55 cnf(matrix-6775, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15715)), _u15717), c_List_Olists(_u15715, _u15719))) | ~hBOOL(hAPP(hAPP(c_member(_u15715), skolem436(_u15719, _u15717, _u15715)), _u15719)) )).
% 12.29/12.55 cnf(matrix-6776, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15720), _u15721), hAPP(c_List_Oset(_u15720), _u15722))) | 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(_u15720)), _u15722))) )).
% 12.29/12.55 cnf(matrix-6777, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15728), _u15730), hAPP(c_List_Oset(_u15728), _u15732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem437(_u15732, _u15730, _u15728)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15728)), _u15732))) )).
% 12.29/12.55 cnf(matrix-6778, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15728), _u15730), hAPP(c_List_Oset(_u15728), _u15732))) | ( hAPP(hAPP(c_List_Onth(_u15728), _u15732), skolem437(_u15732, _u15730, _u15728)) = _u15730) )).
% 12.29/12.55 cnf(matrix-6779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15724), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15729)), _u15733))) | ( hAPP(hAPP(c_List_Onth(_u15729), _u15733), _u15724) != _u15731) | hBOOL(hAPP(hAPP(c_member(_u15729), _u15731), hAPP(c_List_Oset(_u15729), _u15733))) )).
% 12.29/12.55 cnf(matrix-6780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15734), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15735)), _u15736))) | hBOOL(hAPP(hAPP(c_member(_u15735), hAPP(hAPP(c_List_Onth(_u15735), _u15736), _u15734)), hAPP(c_List_Oset(_u15735), _u15736))) )).
% 12.29/12.55 cnf(matrix-6781, plain, ( ( c_List_Olists(_u15737, _u15738) = hAPP(c_Set_OCollect(tc_List_Olist(_u15737)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15737), tc_fun(_u15737, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15737, tc_HOL_Obool), tc_fun(tc_fun(_u15737, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15737)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15737, tc_HOL_Obool))), c_List_Oset(_u15737))), _u15738))) )).
% 12.29/12.55 cnf(matrix-6782, plain, ( ( hAPP(c_List_Oset(_u15739), _u15740) = hAPP(c_Set_OCollect(_u15739), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15739), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15739, 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)), _u15739), 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)), _u15739), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15739, tc_fun(tc_Nat_Onat, _u15739), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15739, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15739), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15739), c_COMBB(_u15739, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15739), _u15740))))), 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(_u15739)), _u15740)))))) )).
% 12.29/12.55 cnf(matrix-6783, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15741), _u15742)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15741)), hAPP(c_Set_OCollect(tc_List_Olist(_u15741)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15741), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15741)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15741), tc_fun(_u15741, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15741, tc_HOL_Obool), tc_fun(tc_fun(_u15741, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15741)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15741, tc_HOL_Obool))), c_List_Oset(_u15741))), _u15742))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15741), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15741)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15741)))), _u15743))))) )).
% 12.29/12.55 cnf(matrix-6784, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15750), tc_List_Olist(_u15750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15750), tc_List_Olist(_u15750)), _u15752), _u15754)), c_List_Olistrel(_u15750, _u15756))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15750)), _u15752) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15750)), _u15754)) )).
% 12.29/12.55 cnf(matrix-6785, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15750), tc_List_Olist(_u15750))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15750), tc_List_Olist(_u15750)), _u15752), _u15754)), c_List_Olistrel(_u15750, _u15756))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15750, _u15750)), _u15744), hAPP(c_List_Oset(tc_prod(_u15750, _u15750)), hAPP(hAPP(c_List_Ozip(_u15750, _u15750), _u15752), _u15754)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15750, _u15750, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15750, tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_fun(_u15750, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15750, tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_fun(_u15750, tc_HOL_Obool)), _u15750), c_COMBC(_u15750, tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15750, tc_prod(_u15750, _u15750)), tc_fun(_u15750, tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool)), _u15750), hAPP(c_COMBB(tc_prod(_u15750, _u15750), tc_fun(tc_fun(tc_prod(_u15750, _u15750), tc_HOL_Obool), tc_HOL_Obool), _u15750), c_member(tc_prod(_u15750, _u15750)))), c_Product__Type_OPair(_u15750, _u15750)))), _u15756)), _u15744)) )).
% 12.29/12.55 cnf(matrix-6786, 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)), _u15753), _u15755)), c_List_Olistrel(_u15751, _u15757))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15753) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15755)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15751, _u15751)), skolem438(_u15757, _u15755, _u15753, _u15751)), hAPP(c_List_Oset(tc_prod(_u15751, _u15751)), hAPP(hAPP(c_List_Ozip(_u15751, _u15751), _u15753), _u15755)))) )).
% 12.29/12.55 cnf(matrix-6787, 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)), _u15753), _u15755)), c_List_Olistrel(_u15751, _u15757))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15753) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15751)), _u15755)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15751, _u15751, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15751, tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_fun(_u15751, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15751, tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_fun(_u15751, tc_HOL_Obool)), _u15751), c_COMBC(_u15751, tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15751, tc_prod(_u15751, _u15751)), tc_fun(_u15751, tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool)), _u15751), hAPP(c_COMBB(tc_prod(_u15751, _u15751), tc_fun(tc_fun(tc_prod(_u15751, _u15751), tc_HOL_Obool), tc_HOL_Obool), _u15751), c_member(tc_prod(_u15751, _u15751)))), c_Product__Type_OPair(_u15751, _u15751)))), _u15757)), skolem438(_u15757, _u15755, _u15753, _u15751))) )).
% 12.29/12.55 cnf(matrix-6788, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u15758)), c_Enum_On__lists(_u15758, _u15759, _u15760)) = hAPP(c_Set_OCollect(tc_List_Olist(_u15758)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15758), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15758)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15758), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15758)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15758)))), _u15759))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15758), tc_fun(_u15758, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15758, tc_HOL_Obool), tc_fun(tc_fun(_u15758, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15758)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15758, tc_HOL_Obool))), c_List_Oset(_u15758))), hAPP(c_List_Oset(_u15758), _u15760))))) )).
% 12.29/12.55 cnf(matrix-6789, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15761, _u15762))), hAPP(hAPP(c_List_Ozip(_u15761, _u15762), _u15763), _u15764)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15761)), _u15763)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15762)), _u15764))) )).
% 12.29/12.55 cnf(matrix-6790, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15765, _u15766)), _u15767), hAPP(hAPP(c_List_Ozip(_u15765, _u15766), _u15768), _u15769)) = hAPP(hAPP(c_List_Ozip(_u15765, _u15766), hAPP(hAPP(c_List_Otake(_u15765), _u15767), _u15768)), hAPP(hAPP(c_List_Otake(_u15766), _u15767), _u15769))) )).
% 12.29/12.55 cnf(matrix-6791, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15770, _u15771), hAPP(hAPP(c_List_Olist_OCons(_u15770), _u15772), _u15773)), hAPP(hAPP(c_List_Olist_OCons(_u15771), _u15774), _u15775)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15770, _u15771)), hAPP(hAPP(c_Product__Type_OPair(_u15770, _u15771), _u15772), _u15774)), hAPP(hAPP(c_List_Ozip(_u15770, _u15771), _u15773), _u15775))) )).
% 12.29/12.55 cnf(matrix-6792, plain, ( ( _u15781 != _u15783) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15785)), _u15781) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15785)), _u15783)) )).
% 12.29/12.55 cnf(matrix-6793, plain, ( ( _u15781 != _u15783) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15785, _u15785)), _u15776), hAPP(c_List_Oset(tc_prod(_u15785, _u15785)), hAPP(hAPP(c_List_Ozip(_u15785, _u15785), _u15781), _u15783)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15785, _u15785, tc_HOL_Obool), c_fequal), _u15776)) )).
% 12.29/12.55 cnf(matrix-6794, plain, ( ( _u15782 = _u15784) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15784)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15786, _u15786)), skolem439(_u15786, _u15784, _u15782)), hAPP(c_List_Oset(tc_prod(_u15786, _u15786)), hAPP(hAPP(c_List_Ozip(_u15786, _u15786), _u15782), _u15784)))) )).
% 12.29/12.55 cnf(matrix-6795, plain, ( ( _u15782 = _u15784) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15782) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15786)), _u15784)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15786, _u15786, tc_HOL_Obool), c_fequal), skolem439(_u15786, _u15784, _u15782))) )).
% 12.29/12.55 cnf(matrix-6796, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_Product__Type_OPair(_u15791, _u15791), _u15793), _u15795)), hAPP(c_List_Oset(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_List_Ozip(_u15791, _u15791), _u15797), _u15797)))) | hBOOL(hAPP(hAPP(c_member(_u15791), _u15793), hAPP(c_List_Oset(_u15791), _u15797))) )).
% 12.29/12.55 cnf(matrix-6797, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_Product__Type_OPair(_u15791, _u15791), _u15793), _u15795)), hAPP(c_List_Oset(tc_prod(_u15791, _u15791)), hAPP(hAPP(c_List_Ozip(_u15791, _u15791), _u15797), _u15797)))) | ( _u15793 = _u15795) )).
% 12.29/12.55 cnf(matrix-6798, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15792), _u15794), hAPP(c_List_Oset(_u15792), _u15798))) | ( _u15794 != _u15796) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15792, _u15792)), hAPP(hAPP(c_Product__Type_OPair(_u15792, _u15792), _u15794), _u15796)), hAPP(c_List_Oset(tc_prod(_u15792, _u15792)), hAPP(hAPP(c_List_Ozip(_u15792, _u15792), _u15798), _u15798)))) )).
% 12.29/12.55 cnf(matrix-6799, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15799, _u15800)), hAPP(hAPP(c_Product__Type_OPair(_u15799, _u15800), _u15801), _u15802)), hAPP(c_List_Oset(tc_prod(_u15799, _u15800)), hAPP(hAPP(c_List_Ozip(_u15799, _u15800), _u15803), _u15804)))) | hBOOL(hAPP(hAPP(c_member(_u15799), _u15801), hAPP(c_List_Oset(_u15799), _u15803))) )).
% 12.29/12.55 cnf(matrix-6800, plain, ( hBOOL(hAPP(hAPP(c_member(_u15806), _u15808), hAPP(c_List_Oset(_u15806), _u15810))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15805, _u15806)), hAPP(hAPP(c_Product__Type_OPair(_u15805, _u15806), _u15807), _u15808)), hAPP(c_List_Oset(tc_prod(_u15805, _u15806)), hAPP(hAPP(c_List_Ozip(_u15805, _u15806), _u15809), _u15810)))) )).
% 12.29/12.55 cnf(matrix-6801, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_Product__Type_OPair(_u15811, _u15812), _u15813), _u15814)), hAPP(c_List_Oset(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_List_Ozip(_u15811, _u15812), _u15815), _u15816)))) | hBOOL(hAPP(hAPP(c_member(_u15811), _u15813), hAPP(c_List_Oset(_u15811), _u15815))) )).
% 12.29/12.55 cnf(matrix-6802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_Product__Type_OPair(_u15811, _u15812), _u15813), _u15814)), hAPP(c_List_Oset(tc_prod(_u15811, _u15812)), hAPP(hAPP(c_List_Ozip(_u15811, _u15812), _u15815), _u15816)))) | hBOOL(hAPP(hAPP(c_member(_u15812), _u15814), hAPP(c_List_Oset(_u15812), _u15816))) )).
% 12.29/12.55 cnf(matrix-6803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15817), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15818)), _u15819))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15817), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15820)), _u15821))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15818, _u15820)), hAPP(hAPP(c_List_Ozip(_u15818, _u15820), _u15819), _u15821)), _u15817) = hAPP(hAPP(c_Product__Type_OPair(_u15818, _u15820), hAPP(hAPP(c_List_Onth(_u15818), _u15819), _u15817)), hAPP(hAPP(c_List_Onth(_u15820), _u15821), _u15817))) )).
% 12.29/12.55 cnf(matrix-6804, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15822)), _u15823), hAPP(c_List_Oset(tc_List_Olist(_u15822)), c_Enum_On__lists(_u15822, _u15824, _u15825)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15822)), _u15823) = _u15824) )).
% 12.29/12.55 cnf(matrix-6805, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15826))), c_Enum_On__lists(_u15826, _u15827, _u15828)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15826)), _u15828)), _u15827)) )).
% 12.29/12.55 cnf(matrix-6806, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15829, _u15830)), hAPP(hAPP(c_List_Ozip(_u15829, _u15830), _u15831), _u15832)) = hAPP(c_Set_OCollect(tc_prod(_u15829, _u15830)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15829, _u15830)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15829, _u15830), 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(_u15829, _u15830)), 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(_u15829, _u15830)), 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(_u15829, _u15830), tc_fun(tc_Nat_Onat, tc_prod(_u15829, _u15830)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15829, _u15830), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15829, _u15830)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15829, _u15830)), c_COMBB(tc_prod(_u15829, _u15830), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15830, tc_prod(_u15829, _u15830)), hAPP(hAPP(c_COMBB(_u15829, tc_fun(_u15830, tc_prod(_u15829, _u15830)), tc_Nat_Onat), c_Product__Type_OPair(_u15829, _u15830)), hAPP(c_List_Onth(_u15829), _u15831))), hAPP(c_List_Onth(_u15830), _u15832)))))), 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(_u15829)), _u15831)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15830)), _u15832))))))) )).
% 12.29/12.55 cnf(matrix-6807, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15833, _u15834)), c_Enum_Oproduct(_u15833, _u15834, _u15835, _u15836)) = hAPP(hAPP(c_Product__Type_OSigma(_u15833, _u15834), hAPP(c_List_Oset(_u15833), _u15835)), hAPP(c_COMBK(tc_fun(_u15834, tc_HOL_Obool), _u15833), hAPP(c_List_Oset(_u15834), _u15836)))) )).
% 12.29/12.55 cnf(matrix-6808, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15837, _u15838) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15837), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15838), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.55 cnf(matrix-6809, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15839, _u15840)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15839, _u15840)) )).
% 12.29/12.55 cnf(matrix-6810, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15841, _u15842) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15841, _u15842))) )).
% 12.29/12.55 cnf(matrix-6811, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15843), _u15844) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15843, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15844), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.55 cnf(matrix-6812, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15845, _u15846) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15845), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15846))) )).
% 12.29/12.55 cnf(matrix-6813, plain, ( ~c_List_Onat__list(_u15848) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15848)) )).
% 12.29/12.55 cnf(matrix-6814, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15849)) | c_List_Onat__list(_u15849) )).
% 12.29/12.55 cnf(matrix-6815, plain, ( ~class_Groups_Ocomm__monoid__add(_u15850) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15850), _u15851) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15850), hAPP(c_List_Onth(_u15850), _u15851)), 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(_u15850)), _u15851)))) )).
% 12.29/12.55 cnf(matrix-6816, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15855) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15852), hAPP(c_List_Oset(tc_Nat_Onat), _u15855))) | ( _u15852 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6817, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15856) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem440(_u15856)), hAPP(c_List_Oset(tc_Nat_Onat), _u15856))) )).
% 12.29/12.55 cnf(matrix-6818, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15856) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem440(_u15856) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6819, plain, ( ~class_Groups_Omonoid__add(_u15857) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15857), hAPP(hAPP(c_List_Olist_OCons(_u15857), _u15858), _u15859)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15857), _u15858), hAPP(c_List_Omonoid__add__class_Olistsum(_u15857), _u15859))) )).
% 12.29/12.55 cnf(matrix-6820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15860), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15861), _u15860)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15861))) )).
% 12.29/12.55 cnf(matrix-6821, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15863, _u15865, _u15864)), c_List_Olist_Olist__size(_u15863, _u15866, _u15864))) | hBOOL(hAPP(hAPP(c_member(_u15863), skolem441(_u15866, _u15865, _u15864, _u15863)), hAPP(c_List_Oset(_u15863), _u15864))) )).
% 12.29/12.55 cnf(matrix-6822, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15863, _u15865, _u15864)), c_List_Olist_Olist__size(_u15863, _u15866, _u15864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15865, skolem441(_u15866, _u15865, _u15864, _u15863))), hAPP(_u15866, skolem441(_u15866, _u15865, _u15864, _u15863)))) )).
% 12.29/12.55 cnf(matrix-6823, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15867), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15868)), _u15869))) | ( c_List_Obutlast(_u15868, hAPP(hAPP(c_List_Otake(_u15868), _u15867), _u15869)) = hAPP(hAPP(c_List_Otake(_u15868), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15867), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15869)) )).
% 12.29/12.55 cnf(matrix-6824, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15870), _u15871), hAPP(c_List_Oset(_u15870), c_List_Obutlast(_u15870, _u15872)))) | hBOOL(hAPP(hAPP(c_member(_u15870), _u15871), hAPP(c_List_Oset(_u15870), _u15872))) )).
% 12.29/12.55 cnf(matrix-6825, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15874)), _u15875))) | ( hAPP(hAPP(c_List_Otake(_u15874), _u15873), c_List_Obutlast(_u15874, _u15875)) = hAPP(hAPP(c_List_Otake(_u15874), _u15873), _u15875)) )).
% 12.29/12.55 cnf(matrix-6826, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15876)), c_List_Obutlast(_u15876, _u15877)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15876)), _u15877)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-6827, plain, ( ( c_List_Obutlast(_u15878, _u15879) = hAPP(hAPP(c_List_Otake(_u15878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15878)), _u15879)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15879)) )).
% 12.29/12.55 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15880), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15881))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15881), _u15880), _u15882)) = 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), _u15881)), _u15882)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15881), _u15880))) )).
% 12.29/12.55 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15886))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15887))) | ( hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15886) = hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15887)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem442(_u15887, _u15886, _u15885, _u15884)), _u15884)) )).
% 12.29/12.55 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15886))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15884), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15885)), _u15887))) | ( hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15886) = hAPP(hAPP(c_List_Otake(_u15885), _u15884), _u15887)) | ( hAPP(hAPP(c_List_Onth(_u15885), _u15886), skolem442(_u15887, _u15886, _u15885, _u15884)) != hAPP(hAPP(c_List_Onth(_u15885), _u15887), skolem442(_u15887, _u15886, _u15885, _u15884))) )).
% 12.29/12.55 cnf(matrix-6831, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15888)), _u15889)), _u15890)) | ( hAPP(hAPP(c_List_Olist__update(_u15888, _u15889), _u15890), _u15891) = _u15889) )).
% 12.29/12.55 cnf(matrix-6832, plain, ( ( _u15892 = _u15893) | ( hAPP(hAPP(c_List_Onth(_u15894), hAPP(hAPP(c_List_Olist__update(_u15894, _u15895), _u15892), _u15896)), _u15893) = hAPP(hAPP(c_List_Onth(_u15894), _u15895), _u15893)) )).
% 12.29/12.55 cnf(matrix-6833, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15897, _u15898), _u15899), hAPP(hAPP(c_List_Onth(_u15897), _u15898), _u15899)) = _u15898) )).
% 12.29/12.55 cnf(matrix-6834, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15900)), hAPP(hAPP(c_List_Olist__update(_u15900, _u15901), _u15902), _u15903)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15900)), _u15901)) )).
% 12.29/12.55 cnf(matrix-6835, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15904, hAPP(hAPP(c_List_Olist_OCons(_u15904), _u15905), _u15906)), _u15907), _u15908) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15904), hAPP(hAPP(c_List_Olist_OCons(_u15904), _u15908), _u15906), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15904), tc_List_Olist(_u15904), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15904), _u15905)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15904, tc_List_Olist(_u15904)), c_List_Olist__update(_u15904, _u15906)), _u15908)), _u15907)) )).
% 12.29/12.55 cnf(matrix-6836, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15909, hAPP(hAPP(c_List_Olist_OCons(_u15909), _u15910), _u15911)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15912) = hAPP(hAPP(c_List_Olist_OCons(_u15909), _u15912), _u15911)) )).
% 12.29/12.55 cnf(matrix-6837, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15913, hAPP(hAPP(c_List_Olist_OCons(_u15913), _u15914), _u15915)), hAPP(c_Nat_OSuc, _u15916)), _u15917) = hAPP(hAPP(c_List_Olist_OCons(_u15913), _u15914), hAPP(hAPP(c_List_Olist__update(_u15913, _u15915), _u15916), _u15917))) )).
% 12.29/12.55 cnf(matrix-6838, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15918, hAPP(hAPP(c_List_Olist__update(_u15918, _u15919), _u15920), _u15921)), _u15920), _u15922) = hAPP(hAPP(c_List_Olist__update(_u15918, _u15919), _u15920), _u15922)) )).
% 12.29/12.55 cnf(matrix-6839, plain, ( ( _u15923 = _u15924) | ( hAPP(hAPP(c_List_Olist__update(_u15925, hAPP(hAPP(c_List_Olist__update(_u15925, _u15926), _u15923), _u15927)), _u15924), _u15928) = hAPP(hAPP(c_List_Olist__update(_u15925, hAPP(hAPP(c_List_Olist__update(_u15925, _u15926), _u15924), _u15928)), _u15923), _u15927)) )).
% 12.29/12.55 cnf(matrix-6840, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15929, _u15930), hAPP(hAPP(c_List_Ozip(_u15929, _u15930), _u15931), _u15932)), _u15933), _u15934) = hAPP(hAPP(c_List_Ozip(_u15929, _u15930), hAPP(hAPP(c_List_Olist__update(_u15929, _u15931), _u15933), hAPP(c_Product__Type_Ofst(_u15929, _u15930), _u15934))), hAPP(hAPP(c_List_Olist__update(_u15930, _u15932), _u15933), hAPP(c_Product__Type_Osnd(_u15929, _u15930), _u15934)))) )).
% 12.29/12.55 cnf(matrix-6841, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15935, _u15936), hAPP(hAPP(c_List_Olist__update(_u15935, _u15937), _u15938), _u15939)), hAPP(hAPP(c_List_Olist__update(_u15936, _u15940), _u15938), _u15941)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15935, _u15936), hAPP(hAPP(c_List_Ozip(_u15935, _u15936), _u15937), _u15940)), _u15938), hAPP(hAPP(c_Product__Type_OPair(_u15935, _u15936), _u15939), _u15941))) )).
% 12.29/12.55 cnf(matrix-6842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15942, tc_HOL_Obool)), hAPP(c_List_Oset(_u15942), _u15943)), _u15944)) | ~hBOOL(hAPP(hAPP(c_member(_u15942), _u15945), _u15944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15942, tc_HOL_Obool)), hAPP(c_List_Oset(_u15942), hAPP(hAPP(c_List_Olist__update(_u15942, _u15943), _u15946), _u15945))), _u15944)) )).
% 12.29/12.55 cnf(matrix-6843, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15947, tc_HOL_Obool)), hAPP(c_List_Oset(_u15947), hAPP(hAPP(c_List_Olist__update(_u15947, _u15948), _u15949), _u15950))), hAPP(hAPP(c_Set_Oinsert(_u15947), _u15950), hAPP(c_List_Oset(_u15947), _u15948)))) )).
% 12.29/12.55 cnf(matrix-6844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15951), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15952)), _u15953))) | ( hAPP(hAPP(c_List_Onth(_u15952), hAPP(hAPP(c_List_Olist__update(_u15952, _u15953), _u15951), _u15954)), _u15951) = _u15954) )).
% 12.29/12.55 cnf(matrix-6845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15955), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15956)), _u15957))) | ( hAPP(hAPP(c_List_Olist__update(_u15956, _u15957), _u15955), _u15958) != _u15957) | ( hAPP(hAPP(c_List_Onth(_u15956), _u15957), _u15955) = _u15958) )).
% 12.29/12.55 cnf(matrix-6846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15955), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15956)), _u15957))) | ( hAPP(hAPP(c_List_Onth(_u15956), _u15957), _u15955) != _u15958) | ( hAPP(hAPP(c_List_Olist__update(_u15956, _u15957), _u15955), _u15958) = _u15957) )).
% 12.29/12.55 cnf(matrix-6847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15959), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15960)), _u15961))) | ( _u15959 != _u15962) | ( hAPP(hAPP(c_List_Onth(_u15960), hAPP(hAPP(c_List_Olist__update(_u15960, _u15961), _u15959), _u15963)), _u15962) = _u15963) )).
% 12.29/12.55 cnf(matrix-6848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15959), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15960)), _u15961))) | ( _u15959 = _u15962) | ( hAPP(hAPP(c_List_Onth(_u15960), hAPP(hAPP(c_List_Olist__update(_u15960, _u15961), _u15959), _u15963)), _u15962) = hAPP(hAPP(c_List_Onth(_u15960), _u15961), _u15962)) )).
% 12.29/12.55 cnf(matrix-6849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15964), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15965)), _u15966))) | hBOOL(hAPP(hAPP(c_member(_u15965), _u15967), hAPP(c_List_Oset(_u15965), hAPP(hAPP(c_List_Olist__update(_u15965, _u15966), _u15964), _u15967)))) )).
% 12.29/12.55 cnf(matrix-6850, plain, ( ( _u15972 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15974)), _u15976)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15974, hAPP(hAPP(c_List_Olist__update(_u15974, _u15976), _u15972), _u15978)) = c_List_Obutlast(_u15974, _u15976)) )).
% 12.29/12.55 cnf(matrix-6851, plain, ( ( _u15973 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15975)), _u15977)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15975, hAPP(hAPP(c_List_Olist__update(_u15975, _u15977), _u15973), _u15979)) = hAPP(hAPP(c_List_Olist__update(_u15975, c_List_Obutlast(_u15975, _u15977)), _u15973), _u15979)) )).
% 12.29/12.55 cnf(matrix-6852, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15988), tc_List_Olist(_u15988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15988), tc_List_Olist(_u15988)), _u15990), _u15992)), c_List_Olistrel1(_u15988, _u15994))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15988, _u15988)), hAPP(hAPP(c_Product__Type_OPair(_u15988, _u15988), hAPP(hAPP(c_List_Onth(_u15988), _u15990), skolem444(_u15994, _u15992, _u15990, _u15988))), skolem443(_u15994, _u15992, _u15990, _u15988))), _u15994)) )).
% 12.29/12.55 cnf(matrix-6853, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15988), tc_List_Olist(_u15988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15988), tc_List_Olist(_u15988)), _u15990), _u15992)), c_List_Olistrel1(_u15988, _u15994))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem444(_u15994, _u15992, _u15990, _u15988)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15988)), _u15990))) )).
% 12.29/12.55 cnf(matrix-6854, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15988), tc_List_Olist(_u15988))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15988), tc_List_Olist(_u15988)), _u15990), _u15992)), c_List_Olistrel1(_u15988, _u15994))) | ( _u15992 = hAPP(hAPP(c_List_Olist__update(_u15988, _u15990), skolem444(_u15994, _u15992, _u15990, _u15988)), skolem443(_u15994, _u15992, _u15990, _u15988))) )).
% 12.29/12.55 cnf(matrix-6855, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15989, _u15989)), hAPP(hAPP(c_Product__Type_OPair(_u15989, _u15989), hAPP(hAPP(c_List_Onth(_u15989), _u15991), _u15982)), _u15983)), _u15995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15982), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15989)), _u15991))) | ( _u15993 != hAPP(hAPP(c_List_Olist__update(_u15989, _u15991), _u15982), _u15983)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15989), tc_List_Olist(_u15989))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15989), tc_List_Olist(_u15989)), _u15991), _u15993)), c_List_Olistrel1(_u15989, _u15995))) )).
% 12.29/12.55 cnf(matrix-6856, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15996), _u15997)) | hBOOL(hAPP(hAPP(c_member(_u15996), _u15998), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15996, tc_HOL_Obool)), hAPP(c_List_Oset(_u15996), _u15997)), hAPP(hAPP(c_Set_Oinsert(_u15996), hAPP(hAPP(c_List_Onth(_u15996), _u15997), _u15999)), c_Orderings_Obot__class_Obot(tc_fun(_u15996, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15996), hAPP(hAPP(c_List_Olist__update(_u15996, _u15997), _u15999), _u15998))) )).
% 12.29/12.55 cnf(matrix-6857, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16000), _u16001)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16000)), c_Enum_On__lists(_u16000, _u16002, _u16001))) )).
% 12.29/12.55 cnf(matrix-6858, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16003), _u16004)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16003, _u16005)), hAPP(hAPP(c_List_Ozip(_u16003, _u16005), _u16004), _u16006))) )).
% 12.29/12.55 cnf(matrix-6859, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16007), _u16008)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16009, _u16007)), hAPP(hAPP(c_List_Ozip(_u16009, _u16007), _u16010), _u16008))) )).
% 12.29/12.55 cnf(matrix-6860, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16011), _u16012)) | hBOOL(hAPP(c_List_Odistinct(_u16011), c_List_Osublist(_u16011, _u16012, _u16013))) )).
% 12.29/12.55 cnf(matrix-6861, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16014), _u16015)) | ~hBOOL(hAPP(c_List_Odistinct(_u16016), _u16017)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16014, _u16016)), c_Enum_Oproduct(_u16014, _u16016, _u16015, _u16017))) )).
% 12.29/12.55 cnf(matrix-6862, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u16018, _u16019))) )).
% 12.29/12.55 cnf(matrix-6863, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16020), _u16021)) | hBOOL(hAPP(c_List_Odistinct(_u16020), hAPP(hAPP(c_List_Otake(_u16020), _u16022), _u16021))) )).
% 12.29/12.55 cnf(matrix-6864, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16026), hAPP(hAPP(c_List_Olist_OCons(_u16026), _u16028), _u16030))) | ~hBOOL(hAPP(hAPP(c_member(_u16026), _u16028), hAPP(c_List_Oset(_u16026), _u16030))) )).
% 12.29/12.55 cnf(matrix-6865, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16026), hAPP(hAPP(c_List_Olist_OCons(_u16026), _u16028), _u16030))) | hBOOL(hAPP(c_List_Odistinct(_u16026), _u16030)) )).
% 12.29/12.55 cnf(matrix-6866, plain, ( hBOOL(hAPP(hAPP(c_member(_u16027), _u16029), hAPP(c_List_Oset(_u16027), _u16031))) | ~hBOOL(hAPP(c_List_Odistinct(_u16027), _u16031)) | hBOOL(hAPP(c_List_Odistinct(_u16027), hAPP(hAPP(c_List_Olist_OCons(_u16027), _u16029), _u16031))) )).
% 12.29/12.55 cnf(matrix-6867, plain, ( ( hAPP(c_Finite__Set_Ocard(_u16032), hAPP(c_List_Oset(_u16032), _u16033)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16032)), _u16033)) | hBOOL(hAPP(c_List_Odistinct(_u16032), _u16033)) )).
% 12.29/12.55 cnf(matrix-6868, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16034), _u16035)) | ( hAPP(c_Finite__Set_Ocard(_u16034), hAPP(c_List_Oset(_u16034), _u16035)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16034)), _u16035)) )).
% 12.29/12.55 cnf(matrix-6869, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16036), _u16037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16038), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16039), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ( hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16038) != hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16039)) | ( _u16038 = _u16039) )).
% 12.29/12.55 cnf(matrix-6870, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16036), _u16037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16038), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16039), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16036)), _u16037))) | ( _u16038 != _u16039) | ( hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16038) = hAPP(hAPP(c_List_Onth(_u16036), _u16037), _u16039)) )).
% 12.29/12.55 cnf(matrix-6871, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16046), _u16048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16041), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16040), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048))) | ( _u16041 = _u16040) | ( hAPP(hAPP(c_List_Onth(_u16046), _u16048), _u16041) != hAPP(hAPP(c_List_Onth(_u16046), _u16048), _u16040)) )).
% 12.29/12.55 cnf(matrix-6872, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem445(_u16049, _u16047)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16047)), _u16049))) )).
% 12.29/12.55 cnf(matrix-6873, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u16049, _u16047)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16047)), _u16049))) )).
% 12.29/12.55 cnf(matrix-6874, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | ( skolem445(_u16049, _u16047) != skolem446(_u16049, _u16047)) )).
% 12.29/12.55 cnf(matrix-6875, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16047), _u16049)) | ( hAPP(hAPP(c_List_Onth(_u16047), _u16049), skolem445(_u16049, _u16047)) = hAPP(hAPP(c_List_Onth(_u16047), _u16049), skolem446(_u16049, _u16047))) )).
% 12.29/12.55 cnf(matrix-6876, plain, ( ~class_Groups_Ocomm__monoid__add(_u16050) | ~hBOOL(hAPP(c_List_Odistinct(_u16050), _u16051)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16050), _u16051) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16050, _u16050), c_COMBI(_u16050)), hAPP(c_List_Oset(_u16050), _u16051))) )).
% 12.29/12.55 cnf(matrix-6877, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16054), _u16056)) | ( c_Nitpick_Ocard_H(_u16054, _u16056) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16054)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16054), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16054), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16054)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16054), tc_fun(_u16054, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16054, tc_HOL_Obool), tc_fun(tc_fun(_u16054, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16054)), c_fequal), c_List_Oset(_u16054))), _u16056))), c_List_Odistinct(_u16054))))) )).
% 12.29/12.55 cnf(matrix-6878, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16055), _u16057)) | ( c_Nitpick_Ocard_H(_u16055, _u16057) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6879, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16058), _u16059)) | ( hAPP(c_List_Oset(_u16058), c_List_Oremove1(_u16058, _u16060, _u16059)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16058, tc_HOL_Obool)), hAPP(c_List_Oset(_u16058), _u16059)), hAPP(hAPP(c_Set_Oinsert(_u16058), _u16060), c_Orderings_Obot__class_Obot(tc_fun(_u16058, tc_HOL_Obool))))) )).
% 12.29/12.55 cnf(matrix-6880, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16061), _u16062)) | hBOOL(hAPP(c_List_Odistinct(_u16061), c_List_Oremove1(_u16061, _u16063, _u16062))) )).
% 12.29/12.55 cnf(matrix-6881, plain, ( ( _u16068 != _u16070) | ( c_List_Oremove1(_u16072, _u16068, hAPP(hAPP(c_List_Olist_OCons(_u16072), _u16070), _u16074)) = _u16074) )).
% 12.29/12.55 cnf(matrix-6882, plain, ( ( _u16069 = _u16071) | ( c_List_Oremove1(_u16073, _u16069, hAPP(hAPP(c_List_Olist_OCons(_u16073), _u16071), _u16075)) = hAPP(hAPP(c_List_Olist_OCons(_u16073), _u16071), c_List_Oremove1(_u16073, _u16069, _u16075))) )).
% 12.29/12.55 cnf(matrix-6883, plain, ( ( c_List_Oremove1(_u16076, _u16077, c_List_Oremove1(_u16076, _u16078, _u16079)) = c_List_Oremove1(_u16076, _u16078, c_List_Oremove1(_u16076, _u16077, _u16079))) )).
% 12.29/12.55 cnf(matrix-6884, plain, ( hBOOL(hAPP(hAPP(c_member(_u16080), _u16081), hAPP(c_List_Oset(_u16080), _u16082))) | ( c_List_Oremove1(_u16080, _u16081, _u16082) = _u16082) )).
% 12.29/12.55 cnf(matrix-6885, plain, ( hBOOL(hAPP(hAPP(c_member(_u16083), _u16084), hAPP(c_List_Oset(_u16083), _u16085))) | ~hBOOL(hAPP(hAPP(c_member(_u16083), _u16084), hAPP(c_List_Oset(_u16083), c_List_Oremove1(_u16083, _u16086, _u16085)))) )).
% 12.29/12.55 cnf(matrix-6886, plain, ( ( _u16087 = _u16088) | ~hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), c_List_Oremove1(_u16089, _u16088, _u16090)))) | hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), _u16090))) )).
% 12.29/12.55 cnf(matrix-6887, plain, ( ( _u16087 = _u16088) | ~hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), _u16090))) | hBOOL(hAPP(hAPP(c_member(_u16089), _u16087), hAPP(c_List_Oset(_u16089), c_List_Oremove1(_u16089, _u16088, _u16090)))) )).
% 12.29/12.55 cnf(matrix-6888, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16091, tc_HOL_Obool)), hAPP(c_List_Oset(_u16091), c_List_Oremove1(_u16091, _u16092, _u16093))), hAPP(c_List_Oset(_u16091), _u16093))) )).
% 12.29/12.55 cnf(matrix-6889, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16097), _u16099), hAPP(c_List_Oset(_u16097), _u16101))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16097)), c_List_Oremove1(_u16097, _u16099, _u16101)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16097)), _u16101)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-6890, plain, ( hBOOL(hAPP(hAPP(c_member(_u16098), _u16100), hAPP(c_List_Oset(_u16098), _u16102))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16098)), c_List_Oremove1(_u16098, _u16100, _u16102)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16098)), _u16102)) )).
% 12.29/12.55 cnf(matrix-6891, plain, ( ~class_Orderings_Olinorder(_u16103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16103), _u16104)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16103, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16103, tc_HOL_Obool)), _u16104), hAPP(hAPP(c_Set_Oinsert(_u16103), _u16105), c_Orderings_Obot__class_Obot(tc_fun(_u16103, tc_HOL_Obool))))) = c_List_Oremove1(_u16103, _u16105, c_List_Olinorder__class_Osorted__list__of__set(_u16103, _u16104))) )).
% 12.29/12.55 cnf(matrix-6892, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16110) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16112), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16110)), hAPP(hAPP(c_List_Olist_OCons(_u16112), _u16114), _u16116)) = c_List_Olist_ONil(_u16112)) )).
% 12.29/12.55 cnf(matrix-6893, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16111) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16113), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16111)), hAPP(hAPP(c_List_Olist_OCons(_u16113), _u16115), _u16117)) = hAPP(hAPP(c_List_Olist_OCons(_u16113), _u16115), hAPP(hAPP(c_List_Otake(_u16113), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16111)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16117))) )).
% 12.29/12.55 cnf(matrix-6894, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16118)), c_List_Olist_ONil(_u16118)), c_List_Olists(_u16118, _u16119))) )).
% 12.29/12.55 cnf(matrix-6895, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16120), tc_List_Olist(_u16120))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16120), tc_List_Olist(_u16120)), _u16121), c_List_Olist_ONil(_u16120))), c_List_Olistrel(_u16120, _u16122))) | ( _u16121 = c_List_Olist_ONil(_u16120)) )).
% 12.29/12.55 cnf(matrix-6896, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16123), tc_List_Olist(_u16123))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16123), tc_List_Olist(_u16123)), c_List_Olist_ONil(_u16123)), _u16124)), c_List_Olistrel(_u16123, _u16125))) | ( _u16124 = c_List_Olist_ONil(_u16123)) )).
% 12.29/12.55 cnf(matrix-6897, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16126), c_List_Olist_ONil(_u16126))) )).
% 12.29/12.55 cnf(matrix-6898, plain, ( ( _u16127 = c_List_Olist_ONil(_u16128)) | ~hBOOL(hAPP(c_List_Odistinct(_u16128), _u16127)) | hBOOL(hAPP(c_List_Odistinct(_u16128), c_List_Obutlast(_u16128, _u16127))) )).
% 12.29/12.55 cnf(matrix-6899, plain, ( ( c_List_Oremove1(_u16129, _u16130, c_List_Olist_ONil(_u16129)) = c_List_Olist_ONil(_u16129)) )).
% 12.29/12.55 cnf(matrix-6900, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16131, _u16132), c_List_Olist_ONil(_u16131)), _u16133) = c_List_Olist_ONil(tc_prod(_u16131, _u16132))) )).
% 12.29/12.55 cnf(matrix-6901, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16134, _u16135), _u16136), c_List_Olist_ONil(_u16135)) = c_List_Olist_ONil(tc_prod(_u16134, _u16135))) )).
% 12.29/12.55 cnf(matrix-6902, plain, ( ~class_Orderings_Olinorder(_u16137) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16137, c_Orderings_Obot__class_Obot(tc_fun(_u16137, tc_HOL_Obool))) = c_List_Olist_ONil(_u16137)) )).
% 12.29/12.55 cnf(matrix-6903, plain, ( ( c_List_Osublist(_u16138, c_List_Olist_ONil(_u16138), _u16139) = c_List_Olist_ONil(_u16138)) )).
% 12.29/12.55 cnf(matrix-6904, plain, ( c_List_Olistrelp(_u16140, _u16141, c_List_Olist_ONil(_u16140), c_List_Olist_ONil(_u16140)) )).
% 12.29/12.55 cnf(matrix-6905, plain, ( c_List_Olistrelp(_u16142, _u16143, c_List_Olist_ONil(_u16142), c_List_Olist_ONil(_u16142)) )).
% 12.29/12.55 cnf(matrix-6906, plain, ( ( c_List_Olist_Olist__size(_u16144, _u16145, c_List_Olist_ONil(_u16144)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u16146), _u16147)) | ( c_List_Oupto(_u16147, _u16146) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.29/12.55 cnf(matrix-6908, plain, ( ( c_Enum_Oproduct(_u16148, _u16149, c_List_Olist_ONil(_u16148), _u16150) = c_List_Olist_ONil(tc_prod(_u16148, _u16149))) )).
% 12.29/12.55 cnf(matrix-6909, plain, ( ( c_List_Olist_ONil(_u16151) != hAPP(hAPP(c_List_Olist_OCons(_u16151), _u16152), _u16153)) )).
% 12.29/12.55 cnf(matrix-6910, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16154), _u16155), _u16156) != c_List_Olist_ONil(_u16154)) )).
% 12.29/12.55 cnf(matrix-6911, plain, ( ( c_Enum_Osublists(_u16157, c_List_Olist_ONil(_u16157)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16157)), c_List_Olist_ONil(_u16157)), c_List_Olist_ONil(tc_List_Olist(_u16157)))) )).
% 12.29/12.55 cnf(matrix-6912, plain, ( ( hAPP(hAPP(c_List_Otake(_u16158), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16159) = c_List_Olist_ONil(_u16158)) )).
% 12.29/12.55 cnf(matrix-6913, plain, ( ( hAPP(hAPP(c_List_Otake(_u16163), _u16165), _u16167) != c_List_Olist_ONil(_u16163)) | ( _u16165 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16167 = c_List_Olist_ONil(_u16163)) )).
% 12.29/12.55 cnf(matrix-6914, plain, ( ( hAPP(hAPP(c_List_Otake(_u16164), _u16166), _u16168) = c_List_Olist_ONil(_u16164)) | ( _u16166 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6915, plain, ( ( hAPP(hAPP(c_List_Otake(_u16164), _u16166), _u16168) = c_List_Olist_ONil(_u16164)) | ( _u16168 != c_List_Olist_ONil(_u16164)) )).
% 12.29/12.55 cnf(matrix-6916, plain, ( ( hAPP(hAPP(c_List_Otake(_u16169), _u16170), c_List_Olist_ONil(_u16169)) = c_List_Olist_ONil(_u16169)) )).
% 12.29/12.55 cnf(matrix-6917, plain, ( ( _u16173 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16175, _u16173, c_List_Olist_ONil(_u16175)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16175)), c_List_Olist_ONil(_u16175)), c_List_Olist_ONil(tc_List_Olist(_u16175)))) )).
% 12.29/12.55 cnf(matrix-6918, plain, ( ( _u16174 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16176, _u16174, c_List_Olist_ONil(_u16176)) = c_List_Olist_ONil(tc_List_Olist(_u16176))) )).
% 12.29/12.55 cnf(matrix-6919, plain, ( ( c_Enum_On__lists(_u16177, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16178) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16177)), c_List_Olist_ONil(_u16177)), c_List_Olist_ONil(tc_List_Olist(_u16177)))) )).
% 12.29/12.55 cnf(matrix-6920, plain, ( ( hAPP(c_List_Oset(_u16181), _u16183) != c_Orderings_Obot__class_Obot(tc_fun(_u16181, tc_HOL_Obool))) | ( _u16183 = c_List_Olist_ONil(_u16181)) )).
% 12.29/12.55 cnf(matrix-6921, plain, ( ( _u16184 != c_List_Olist_ONil(_u16182)) | ( hAPP(c_List_Oset(_u16182), _u16184) = c_Orderings_Obot__class_Obot(tc_fun(_u16182, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-6922, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u16187, tc_HOL_Obool)) != hAPP(c_List_Oset(_u16187), _u16189)) | ( _u16189 = c_List_Olist_ONil(_u16187)) )).
% 12.29/12.55 cnf(matrix-6923, plain, ( ( _u16190 != c_List_Olist_ONil(_u16188)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u16188, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16188), _u16190)) )).
% 12.29/12.55 cnf(matrix-6924, plain, ( ( hAPP(c_List_Oset(_u16191), c_List_Olist_ONil(_u16191)) = c_Orderings_Obot__class_Obot(tc_fun(_u16191, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-6925, plain, ( ( _u16195 != c_List_Olist_ONil(_u16197)) | ( c_List_Obutlast(_u16197, hAPP(hAPP(c_List_Olist_OCons(_u16197), _u16199), _u16195)) = c_List_Olist_ONil(_u16197)) )).
% 12.29/12.55 cnf(matrix-6926, plain, ( ( _u16196 = c_List_Olist_ONil(_u16198)) | ( c_List_Obutlast(_u16198, hAPP(hAPP(c_List_Olist_OCons(_u16198), _u16200), _u16196)) = hAPP(hAPP(c_List_Olist_OCons(_u16198), _u16200), c_List_Obutlast(_u16198, _u16196))) )).
% 12.29/12.55 cnf(matrix-6927, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16203)), _u16205) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16205 = c_List_Olist_ONil(_u16203)) )).
% 12.29/12.55 cnf(matrix-6928, plain, ( ( _u16206 != c_List_Olist_ONil(_u16204)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16204)), _u16206) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6929, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16207)), c_List_Olist_ONil(_u16207)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-6930, plain, ( ( c_List_Obutlast(_u16208, c_List_Olist_ONil(_u16208)) = c_List_Olist_ONil(_u16208)) )).
% 12.29/12.55 cnf(matrix-6931, plain, ( ~class_Groups_Omonoid__add(_u16209) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16209), c_List_Olist_ONil(_u16209)) = c_Groups_Ozero__class_Ozero(_u16209)) )).
% 12.29/12.55 cnf(matrix-6932, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16210, c_List_Olist_ONil(_u16210)), _u16211), _u16212) = c_List_Olist_ONil(_u16210)) )).
% 12.29/12.55 cnf(matrix-6933, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16213, c_List_Olist_ONil(_u16213)), _u16214), _u16215) = c_List_Olist_ONil(_u16213)) )).
% 12.29/12.55 cnf(matrix-6934, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16220, _u16222), _u16224), _u16226) != c_List_Olist_ONil(_u16220)) | ( _u16222 = c_List_Olist_ONil(_u16220)) )).
% 12.29/12.55 cnf(matrix-6935, plain, ( ( _u16223 != c_List_Olist_ONil(_u16221)) | ( hAPP(hAPP(c_List_Olist__update(_u16221, _u16223), _u16225), _u16227) = c_List_Olist_ONil(_u16221)) )).
% 12.29/12.55 cnf(matrix-6936, plain, ( ( c_List_Osublist(_u16228, _u16229, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u16228)) )).
% 12.29/12.55 cnf(matrix-6937, 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(_u16232)), _u16234))) | ( _u16234 != c_List_Olist_ONil(_u16232)) )).
% 12.29/12.55 cnf(matrix-6938, plain, ( ( _u16235 = c_List_Olist_ONil(_u16233)) | 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(_u16233)), _u16235))) )).
% 12.29/12.55 cnf(matrix-6939, plain, ( ( hAPP(hAPP(c_List_Otake(_u16236), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16236), _u16237), _u16238)) = hAPP(hAPP(c_List_Olist_OCons(_u16236), _u16237), c_List_Olist_ONil(_u16236))) )).
% 12.29/12.55 cnf(matrix-6940, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16239), tc_List_Olist(_u16239))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16239), tc_List_Olist(_u16239)), c_List_Olist_ONil(_u16239)), _u16240)), c_List_Olistrel1(_u16239, _u16241))) )).
% 12.29/12.55 cnf(matrix-6941, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16242), tc_List_Olist(_u16242))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16242), tc_List_Olist(_u16242)), _u16243), c_List_Olist_ONil(_u16242))), c_List_Olistrel1(_u16242, _u16244))) )).
% 12.29/12.55 cnf(matrix-6942, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16245), tc_List_Olist(_u16245))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16245), tc_List_Olist(_u16245)), c_List_Olist_ONil(_u16245)), c_List_Olist_ONil(_u16245))), c_List_Olistrel(_u16245, _u16246))) )).
% 12.29/12.55 cnf(matrix-6943, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16247), tc_List_Olist(_u16247))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16247), tc_List_Olist(_u16247)), _u16248), c_List_Olist_ONil(_u16247))), c_List_Olexord(_u16247, _u16249))) )).
% 12.29/12.55 cnf(matrix-6944, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16250), tc_List_Olist(_u16250))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16250), tc_List_Olist(_u16250)), _u16251), c_List_Olist_ONil(_u16250))), c_List_Olex(_u16250, _u16252))) )).
% 12.29/12.55 cnf(matrix-6945, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16253), tc_List_Olist(_u16253))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16253), tc_List_Olist(_u16253)), c_List_Olist_ONil(_u16253)), _u16254)), c_List_Olex(_u16253, _u16255))) )).
% 12.29/12.55 cnf(matrix-6946, plain, ( ( hAPP(hAPP(c_List_Otake(_u16256), _u16257), hAPP(hAPP(c_List_Olist_OCons(_u16256), _u16258), _u16259)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16256), c_List_Olist_ONil(_u16256), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16256), tc_List_Olist(_u16256), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16256), _u16258)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16256), tc_List_Olist(_u16256)), c_List_Otake(_u16256)), _u16259)), _u16257)) )).
% 12.29/12.55 cnf(matrix-6947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16262), _u16264)) | ( c_List_Oupto(_u16262, _u16264) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16262), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16262), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16264))) )).
% 12.29/12.55 cnf(matrix-6948, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16263), _u16265)) | ( c_List_Oupto(_u16263, _u16265) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.29/12.55 cnf(matrix-6949, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16269)) | ( c_List_Osublist(_u16271, hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), c_List_Olist_ONil(_u16271)), _u16269) = hAPP(hAPP(c_List_Olist_OCons(_u16271), _u16273), c_List_Olist_ONil(_u16271))) )).
% 12.29/12.55 cnf(matrix-6950, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16270)) | ( c_List_Osublist(_u16272, hAPP(hAPP(c_List_Olist_OCons(_u16272), _u16274), c_List_Olist_ONil(_u16272)), _u16270) = c_List_Olist_ONil(_u16272)) )).
% 12.29/12.55 cnf(matrix-6951, plain, ( ( c_List_Olists(_u16275, c_Orderings_Obot__class_Obot(tc_fun(_u16275, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16275)), c_List_Olist_ONil(_u16275)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16275), tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-6952, plain, ( ( _u16280 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16282), _u16280), hAPP(hAPP(c_List_Olist_OCons(_u16282), _u16284), _u16286)) = c_List_Olist_ONil(_u16282)) )).
% 12.29/12.55 cnf(matrix-6953, plain, ( ( _u16281 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16283), _u16281), hAPP(hAPP(c_List_Olist_OCons(_u16283), _u16285), _u16287)) = hAPP(hAPP(c_List_Olist_OCons(_u16283), _u16285), hAPP(hAPP(c_List_Otake(_u16283), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16281), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16287))) )).
% 12.29/12.55 cnf(matrix-6954, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16292))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16292)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16290)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16292)))) )).
% 12.29/12.55 cnf(matrix-6955, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16291)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16293))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16291), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16293)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.29/12.55 cnf(matrix-6956, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16294), tc_List_Olist(_u16294), c_List_Olistrel(_u16294, _u16295)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16294)), c_List_Olist_ONil(_u16294)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16294), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16294)), c_List_Olist_ONil(_u16294)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16294), tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-6957, plain, ( ( c_List_Oset__Cons(_u16296, _u16297, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16296)), c_List_Olist_ONil(_u16296)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16296), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u16296, tc_List_Olist(_u16296), hAPP(hAPP(c_COMBC(_u16296, tc_List_Olist(_u16296), tc_List_Olist(_u16296)), c_List_Olist_OCons(_u16296)), c_List_Olist_ONil(_u16296))), _u16297)) )).
% 12.29/12.55 cnf(matrix-6958, 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), _u16298), _u16299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16298), _u16299)) | ( c_List_Oupto(_u16298, _u16299) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16298), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16298), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16299))) )).
% 12.29/12.55 cnf(matrix-6959, 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), _u16298), _u16299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16298), _u16299)) | ( c_List_Oupto(_u16298, _u16299) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 12.29/12.55 cnf(matrix-6960, plain, ( ( _u16300 = c_List_Olist_ONil(_u16301)) | hBOOL(hAPP(hAPP(c_member(_u16301), hAPP(c_Product__Type_Ofst(_u16301, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u16301, _u16300), _u16302))), hAPP(c_List_Oset(_u16301), _u16300))) )).
% 12.29/12.55 cnf(matrix-6961, plain, ( ( c_List_Olistset(_u16303, c_List_Olist_ONil(tc_fun(_u16303, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16303)), c_List_Olist_ONil(_u16303)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16303), tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-6962, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16304, _u16305), _u16306), hAPP(hAPP(c_List_Olist_OCons(_u16305), _u16307), _u16308)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16304, _u16305)), _u16304, c_List_Olist_ONil(tc_prod(_u16304, _u16305)), hAPP(hAPP(c_COMBC(_u16304, tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305))), tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(tc_prod(_u16304, _u16305))), tc_fun(tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305))), tc_fun(tc_List_Olist(_u16304), tc_List_Olist(tc_prod(_u16304, _u16305)))), _u16304), c_COMBB(tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(_u16304))), hAPP(hAPP(c_COMBB(tc_prod(_u16304, _u16305), tc_fun(tc_List_Olist(tc_prod(_u16304, _u16305)), tc_List_Olist(tc_prod(_u16304, _u16305))), _u16304), c_List_Olist_OCons(tc_prod(_u16304, _u16305))), hAPP(hAPP(c_COMBC(_u16304, _u16305, tc_prod(_u16304, _u16305)), c_Product__Type_OPair(_u16304, _u16305)), _u16307)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16304), tc_List_Olist(_u16305), tc_List_Olist(tc_prod(_u16304, _u16305))), c_List_Ozip(_u16304, _u16305)), _u16308))), _u16306)) )).
% 12.29/12.55 cnf(matrix-6963, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16309, _u16310, _u16311, _u16312), hAPP(hAPP(c_List_Olist_OCons(_u16310), _u16313), _u16314)) = hAPP(hAPP(_u16312, _u16313), _u16314)) )).
% 12.29/12.55 cnf(matrix-6964, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16315, _u16316, _u16317, _u16318), c_List_Olist_ONil(_u16316)) = _u16317) )).
% 12.29/12.55 cnf(matrix-6965, plain, ( ( c_List_Olistset(_u16319, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16319, tc_HOL_Obool)), _u16320), _u16321)) = c_List_Oset__Cons(_u16319, _u16320, c_List_Olistset(_u16319, _u16321))) )).
% 12.29/12.55 cnf(matrix-6966, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16322, _u16323), hAPP(hAPP(c_List_Olist_OCons(_u16322), _u16324), _u16325)), _u16326) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16322, _u16323)), _u16323, c_List_Olist_ONil(tc_prod(_u16322, _u16323)), hAPP(hAPP(c_COMBC(_u16323, tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323))), tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(tc_prod(_u16322, _u16323))), tc_fun(tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323))), tc_fun(tc_List_Olist(_u16323), tc_List_Olist(tc_prod(_u16322, _u16323)))), _u16323), c_COMBB(tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(_u16323))), hAPP(hAPP(c_COMBB(tc_prod(_u16322, _u16323), tc_fun(tc_List_Olist(tc_prod(_u16322, _u16323)), tc_List_Olist(tc_prod(_u16322, _u16323))), _u16323), c_List_Olist_OCons(tc_prod(_u16322, _u16323))), hAPP(c_Product__Type_OPair(_u16322, _u16323), _u16324)))), hAPP(c_List_Ozip(_u16322, _u16323), _u16325))), _u16326)) )).
% 12.29/12.55 cnf(matrix-6967, 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), _u16329), _u16330))) | hBOOL(hAPP(hAPP(_u16331, _u16329), _u16330)) | 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), skolem447(_u16331, _u16330, _u16329)), skolem448(_u16331, _u16330, _u16329)))) )).
% 12.29/12.55 cnf(matrix-6968, 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), _u16329), _u16330))) | hBOOL(hAPP(hAPP(_u16331, _u16329), _u16330)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem447(_u16331, _u16330, _u16329)), skolem448(_u16331, _u16330, _u16329))) | hBOOL(hAPP(hAPP(_u16331, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem447(_u16331, _u16330, _u16329)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem448(_u16331, _u16330, _u16329))) )).
% 12.29/12.55 cnf(matrix-6969, 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), _u16329), _u16330))) | hBOOL(hAPP(hAPP(_u16331, _u16329), _u16330)) | ~hBOOL(hAPP(hAPP(_u16331, skolem447(_u16331, _u16330, _u16329)), skolem448(_u16331, _u16330, _u16329))) )).
% 12.29/12.55 cnf(matrix-6970, plain, ( ( _u16337 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16339, _u16341, _u16343), _u16337), _u16345) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16341), _u16339), c_List_Olist_ONil(_u16341)), _u16345)) )).
% 12.29/12.55 cnf(matrix-6971, plain, ( ( _u16338 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16340, _u16342, _u16344), _u16338), _u16346) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(_u16342, _u16340), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16342), _u16340), c_List_Olist_ONil(_u16342)), _u16346), hAPP(c_Product__Type_Oprod_Oprod__case(_u16342, _u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), hAPP(hAPP(c_COMBC(_u16342, tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(tc_List_Olist(_u16342), _u16340)), tc_fun(tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), _u16342), c_COMBB(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(tc_List_Olist(_u16342), _u16340), _u16340)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16342), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), tc_fun(tc_prod(tc_List_Olist(_u16342), _u16340), tc_prod(tc_List_Olist(_u16342), _u16340)), _u16342), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16342), _u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16342), tc_List_Olist(_u16342)), tc_fun(tc_List_Olist(_u16342), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340))), _u16342), hAPP(c_COMBB(tc_List_Olist(_u16342), tc_fun(_u16340, tc_prod(tc_List_Olist(_u16342), _u16340)), tc_List_Olist(_u16342)), c_Product__Type_OPair(tc_List_Olist(_u16342), _u16340))), c_List_Olist_OCons(_u16342))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16340, _u16342, _u16344), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16338), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16344, _u16346))) )).
% 12.29/12.55 cnf(matrix-6972, plain, ( ( c_List_Osublist(_u16347, hAPP(hAPP(c_List_Olist_OCons(_u16347), _u16348), _u16349), _u16350) = hAPP(hAPP(c_List_Oappend(_u16347), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16347)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16350)), hAPP(hAPP(c_List_Olist_OCons(_u16347), _u16348), c_List_Olist_ONil(_u16347))), c_List_Olist_ONil(_u16347))), c_List_Osublist(_u16347, _u16349, 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)), _u16350))))) )).
% 12.29/12.55 cnf(matrix-6973, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), _u16359), _u16363)), c_List_Olistrel1(_u16357, _u16367))) | ( _u16359 = _u16363) )).
% 12.29/12.55 cnf(matrix-6974, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), _u16359), _u16363)), c_List_Olistrel1(_u16357, _u16367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16357, _u16357)), hAPP(hAPP(c_Product__Type_OPair(_u16357, _u16357), _u16361), _u16365)), _u16367)) )).
% 12.29/12.55 cnf(matrix-6975, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | ( _u16361 = _u16365) | ( _u16359 = _u16363) )).
% 12.29/12.55 cnf(matrix-6976, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16357), tc_List_Olist(_u16357))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16357), tc_List_Olist(_u16357)), hAPP(hAPP(c_List_Oappend(_u16357), _u16359), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16361), c_List_Olist_ONil(_u16357)))), hAPP(hAPP(c_List_Oappend(_u16357), _u16363), hAPP(hAPP(c_List_Olist_OCons(_u16357), _u16365), c_List_Olist_ONil(_u16357))))), c_List_Olistrel1(_u16357, _u16367))) | ( _u16361 = _u16365) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16357, _u16357)), hAPP(hAPP(c_Product__Type_OPair(_u16357, _u16357), _u16361), _u16365)), _u16367)) )).
% 12.29/12.55 cnf(matrix-6977, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16358), tc_List_Olist(_u16358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16358), tc_List_Olist(_u16358)), hAPP(hAPP(c_List_Oappend(_u16358), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16362), c_List_Olist_ONil(_u16358)))), hAPP(hAPP(c_List_Oappend(_u16358), _u16364), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16366), c_List_Olist_ONil(_u16358))))), c_List_Olistrel1(_u16358, _u16368))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16358), tc_List_Olist(_u16358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16358), tc_List_Olist(_u16358)), _u16360), _u16364)), c_List_Olistrel1(_u16358, _u16368))) | ( _u16362 != _u16366) )).
% 12.29/12.55 cnf(matrix-6978, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16358), tc_List_Olist(_u16358))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16358), tc_List_Olist(_u16358)), hAPP(hAPP(c_List_Oappend(_u16358), _u16360), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16362), c_List_Olist_ONil(_u16358)))), hAPP(hAPP(c_List_Oappend(_u16358), _u16364), hAPP(hAPP(c_List_Olist_OCons(_u16358), _u16366), c_List_Olist_ONil(_u16358))))), c_List_Olistrel1(_u16358, _u16368))) | ( _u16360 != _u16364) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16358, _u16358)), hAPP(hAPP(c_Product__Type_OPair(_u16358, _u16358), _u16362), _u16366)), _u16368)) )).
% 12.29/12.55 cnf(matrix-6979, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16378 = c_List_Olist_ONil(_u16376)) | ( _u16378 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376))) )).
% 12.29/12.55 cnf(matrix-6980, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16378 = c_List_Olist_ONil(_u16376)) | ( hAPP(hAPP(c_List_Oappend(_u16376), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376)), _u16380) = _u16384) )).
% 12.29/12.55 cnf(matrix-6981, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16380 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16378 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376))) )).
% 12.29/12.55 cnf(matrix-6982, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16376), _u16378), _u16380) != hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( _u16380 = hAPP(hAPP(c_List_Olist_OCons(_u16376), _u16382), _u16384)) | ( hAPP(hAPP(c_List_Oappend(_u16376), skolem449(_u16384, _u16382, _u16380, _u16378, _u16376)), _u16380) = _u16384) )).
% 12.29/12.55 cnf(matrix-6983, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16377), _u16379), _u16381) = hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16385)) | ( _u16379 != c_List_Olist_ONil(_u16377)) | ( _u16381 != hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16385)) )).
% 12.29/12.55 cnf(matrix-6984, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16377), _u16379), _u16381) = hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16385)) | ( _u16379 != hAPP(hAPP(c_List_Olist_OCons(_u16377), _u16383), _u16370)) | ( hAPP(hAPP(c_List_Oappend(_u16377), _u16370), _u16381) != _u16385) )).
% 12.29/12.55 cnf(matrix-6985, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( _u16399 = c_List_Olist_ONil(_u16393)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)) = _u16399) )).
% 12.29/12.55 cnf(matrix-6986, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( _u16399 = c_List_Olist_ONil(_u16393)) | ( _u16397 = hAPP(hAPP(c_List_Oappend(_u16393), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)), _u16401)) )).
% 12.29/12.55 cnf(matrix-6987, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) = _u16401) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)) = _u16399) )).
% 12.29/12.55 cnf(matrix-6988, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) != hAPP(hAPP(c_List_Oappend(_u16393), _u16399), _u16401)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16393), _u16395), _u16397) = _u16401) | ( _u16397 = hAPP(hAPP(c_List_Oappend(_u16393), skolem450(_u16401, _u16399, _u16397, _u16395, _u16393)), _u16401)) )).
% 12.29/12.55 cnf(matrix-6989, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16398) = hAPP(hAPP(c_List_Oappend(_u16394), _u16400), _u16402)) | ( _u16400 != c_List_Olist_ONil(_u16394)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16398) != _u16402) )).
% 12.29/12.55 cnf(matrix-6990, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16398) = hAPP(hAPP(c_List_Oappend(_u16394), _u16400), _u16402)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16394), _u16396), _u16387) != _u16400) | ( _u16398 != hAPP(hAPP(c_List_Oappend(_u16394), _u16387), _u16402)) )).
% 12.29/12.55 cnf(matrix-6991, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16408), _u16410), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16412), c_List_Olist_ONil(_u16408))) != hAPP(hAPP(c_List_Oappend(_u16408), _u16414), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16416), c_List_Olist_ONil(_u16408)))) | ( _u16410 = _u16414) )).
% 12.29/12.55 cnf(matrix-6992, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16408), _u16410), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16412), c_List_Olist_ONil(_u16408))) != hAPP(hAPP(c_List_Oappend(_u16408), _u16414), hAPP(hAPP(c_List_Olist_OCons(_u16408), _u16416), c_List_Olist_ONil(_u16408)))) | ( _u16412 = _u16416) )).
% 12.29/12.55 cnf(matrix-6993, plain, ( ( _u16411 != _u16415) | ( _u16413 != _u16417) | ( hAPP(hAPP(c_List_Oappend(_u16409), _u16411), hAPP(hAPP(c_List_Olist_OCons(_u16409), _u16413), c_List_Olist_ONil(_u16409))) = hAPP(hAPP(c_List_Oappend(_u16409), _u16415), hAPP(hAPP(c_List_Olist_OCons(_u16409), _u16417), c_List_Olist_ONil(_u16409)))) )).
% 12.29/12.55 cnf(matrix-6994, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16418), hAPP(hAPP(c_List_Olist_OCons(_u16418), _u16419), _u16420)), _u16421) = hAPP(hAPP(c_List_Olist_OCons(_u16418), _u16419), hAPP(hAPP(c_List_Oappend(_u16418), _u16420), _u16421))) )).
% 12.29/12.55 cnf(matrix-6995, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16422), _u16423), _u16424) != _u16425) | ( _u16426 != hAPP(hAPP(c_List_Oappend(_u16422), _u16424), _u16427)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16422), _u16423), _u16426) = hAPP(hAPP(c_List_Oappend(_u16422), _u16425), _u16427)) )).
% 12.29/12.55 cnf(matrix-6996, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), hAPP(hAPP(c_List_Oappend(_u16432), _u16434), _u16436)), c_List_Olists(_u16432, _u16438))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), _u16434), c_List_Olists(_u16432, _u16438))) )).
% 12.29/12.55 cnf(matrix-6997, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), hAPP(hAPP(c_List_Oappend(_u16432), _u16434), _u16436)), c_List_Olists(_u16432, _u16438))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16432)), _u16436), c_List_Olists(_u16432, _u16438))) )).
% 12.29/12.55 cnf(matrix-6998, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16433)), _u16435), c_List_Olists(_u16433, _u16439))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16433)), _u16437), c_List_Olists(_u16433, _u16439))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16433)), hAPP(hAPP(c_List_Oappend(_u16433), _u16435), _u16437)), c_List_Olists(_u16433, _u16439))) )).
% 12.29/12.55 cnf(matrix-6999, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16440), _u16441), _u16442) != _u16443) | ( _u16444 != hAPP(hAPP(c_List_Oappend(_u16440), _u16442), _u16445)) | ( hAPP(hAPP(c_List_Oappend(_u16440), _u16441), _u16444) = hAPP(hAPP(c_List_Oappend(_u16440), _u16443), _u16445)) )).
% 12.29/12.55 cnf(matrix-7000, plain, ( ( _u16452 = _u16456) | ( hAPP(hAPP(c_List_Oappend(_u16450), _u16452), _u16454) != hAPP(hAPP(c_List_Oappend(_u16450), _u16456), _u16454)) )).
% 12.29/12.55 cnf(matrix-7001, plain, ( ( _u16453 != _u16457) | ( hAPP(hAPP(c_List_Oappend(_u16451), _u16453), _u16455) = hAPP(hAPP(c_List_Oappend(_u16451), _u16457), _u16455)) )).
% 12.29/12.55 cnf(matrix-7002, plain, ( ( _u16466 = _u16468) | ( hAPP(hAPP(c_List_Oappend(_u16462), _u16464), _u16466) != hAPP(hAPP(c_List_Oappend(_u16462), _u16464), _u16468)) )).
% 12.29/12.55 cnf(matrix-7003, plain, ( ( _u16467 != _u16469) | ( hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16467) = hAPP(hAPP(c_List_Oappend(_u16463), _u16465), _u16469)) )).
% 12.29/12.55 cnf(matrix-7004, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( _u16483 = hAPP(hAPP(c_List_Oappend(_u16481), _u16487), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481))) | ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)) = _u16487) )).
% 12.29/12.55 cnf(matrix-7005, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( _u16483 = hAPP(hAPP(c_List_Oappend(_u16481), _u16487), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481))) | ( _u16485 = hAPP(hAPP(c_List_Oappend(_u16481), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16489)) )).
% 12.29/12.55 cnf(matrix-7006, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( hAPP(hAPP(c_List_Oappend(_u16481), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16485) = _u16489) | ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)) = _u16487) )).
% 12.29/12.55 cnf(matrix-7007, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16481), _u16483), _u16485) != hAPP(hAPP(c_List_Oappend(_u16481), _u16487), _u16489)) | ( hAPP(hAPP(c_List_Oappend(_u16481), skolem451(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16485) = _u16489) | ( _u16485 = hAPP(hAPP(c_List_Oappend(_u16481), skolem452(_u16489, _u16487, _u16485, _u16483, _u16481)), _u16489)) )).
% 12.29/12.55 cnf(matrix-7008, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16482), _u16484), _u16486) = hAPP(hAPP(c_List_Oappend(_u16482), _u16488), _u16490)) | ( _u16484 != hAPP(hAPP(c_List_Oappend(_u16482), _u16488), _u16479)) | ( hAPP(hAPP(c_List_Oappend(_u16482), _u16479), _u16486) != _u16490) )).
% 12.29/12.55 cnf(matrix-7009, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16482), _u16484), _u16486) = hAPP(hAPP(c_List_Oappend(_u16482), _u16488), _u16490)) | ( hAPP(hAPP(c_List_Oappend(_u16482), _u16484), _u16480) != _u16488) | ( _u16486 != hAPP(hAPP(c_List_Oappend(_u16482), _u16480), _u16490)) )).
% 12.29/12.55 cnf(matrix-7010, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16491), hAPP(hAPP(c_List_Oappend(_u16491), _u16492), _u16493)), _u16494) = hAPP(hAPP(c_List_Oappend(_u16491), _u16492), hAPP(hAPP(c_List_Oappend(_u16491), _u16493), _u16494))) )).
% 12.29/12.55 cnf(matrix-7011, plain, ( ( hAPP(c_List_Oset(_u16495), hAPP(hAPP(c_List_Oappend(_u16495), _u16496), _u16497)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16495, tc_HOL_Obool)), hAPP(c_List_Oset(_u16495), _u16496)), hAPP(c_List_Oset(_u16495), _u16497))) )).
% 12.29/12.55 cnf(matrix-7012, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16499) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16501)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16498)), _u16502) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16500)), _u16503)) | ( hAPP(hAPP(c_List_Ozip(_u16498, _u16500), hAPP(hAPP(c_List_Oappend(_u16498), _u16499), _u16502)), hAPP(hAPP(c_List_Oappend(_u16500), _u16501), _u16503)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16498, _u16500)), hAPP(hAPP(c_List_Ozip(_u16498, _u16500), _u16499), _u16501)), hAPP(hAPP(c_List_Ozip(_u16498, _u16500), _u16502), _u16503))) )).
% 12.29/12.55 cnf(matrix-7013, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), hAPP(hAPP(c_List_Oappend(_u16504), _u16505), _u16506)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), _u16505)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16504)), _u16506))) )).
% 12.29/12.55 cnf(matrix-7014, plain, ( ~class_Groups_Omonoid__add(_u16507) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16507), hAPP(hAPP(c_List_Oappend(_u16507), _u16508), _u16509)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16507), hAPP(c_List_Omonoid__add__class_Olistsum(_u16507), _u16508)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16507), _u16509))) )).
% 12.29/12.55 cnf(matrix-7015, plain, ( ( _u16513 != c_List_Olist_ONil(_u16515)) | ( c_List_Obutlast(_u16515, hAPP(hAPP(c_List_Oappend(_u16515), _u16517), _u16513)) = c_List_Obutlast(_u16515, _u16517)) )).
% 12.29/12.55 cnf(matrix-7016, plain, ( ( _u16514 = c_List_Olist_ONil(_u16516)) | ( c_List_Obutlast(_u16516, hAPP(hAPP(c_List_Oappend(_u16516), _u16518), _u16514)) = hAPP(hAPP(c_List_Oappend(_u16516), _u16518), c_List_Obutlast(_u16516, _u16514))) )).
% 12.29/12.55 cnf(matrix-7017, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16519), c_List_Olist_ONil(_u16519)), _u16520) = _u16520) )).
% 12.29/12.55 cnf(matrix-7018, plain, ( ( c_List_Olist_ONil(_u16524) != hAPP(hAPP(c_List_Oappend(_u16524), _u16526), _u16528)) | ( _u16526 = c_List_Olist_ONil(_u16524)) )).
% 12.29/12.55 cnf(matrix-7019, plain, ( ( c_List_Olist_ONil(_u16524) != hAPP(hAPP(c_List_Oappend(_u16524), _u16526), _u16528)) | ( _u16528 = c_List_Olist_ONil(_u16524)) )).
% 12.29/12.55 cnf(matrix-7020, plain, ( ( _u16527 != c_List_Olist_ONil(_u16525)) | ( _u16529 != c_List_Olist_ONil(_u16525)) | ( c_List_Olist_ONil(_u16525) = hAPP(hAPP(c_List_Oappend(_u16525), _u16527), _u16529)) )).
% 12.29/12.55 cnf(matrix-7021, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16530), _u16531), c_List_Olist_ONil(_u16530)) = _u16531) )).
% 12.29/12.55 cnf(matrix-7022, plain, ( ( _u16539 = c_List_Olist_ONil(_u16537)) | ( _u16535 != hAPP(hAPP(c_List_Oappend(_u16537), _u16535), _u16539)) )).
% 12.29/12.55 cnf(matrix-7023, plain, ( ( _u16540 != c_List_Olist_ONil(_u16538)) | ( _u16536 = hAPP(hAPP(c_List_Oappend(_u16538), _u16536), _u16540)) )).
% 12.29/12.55 cnf(matrix-7024, plain, ( ( _u16548 = c_List_Olist_ONil(_u16546)) | ( _u16544 != hAPP(hAPP(c_List_Oappend(_u16546), _u16548), _u16544)) )).
% 12.29/12.55 cnf(matrix-7025, plain, ( ( _u16549 != c_List_Olist_ONil(_u16547)) | ( _u16545 = hAPP(hAPP(c_List_Oappend(_u16547), _u16549), _u16545)) )).
% 12.29/12.55 cnf(matrix-7026, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16553), _u16555), _u16557) != c_List_Olist_ONil(_u16553)) | ( _u16555 = c_List_Olist_ONil(_u16553)) )).
% 12.29/12.55 cnf(matrix-7027, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16553), _u16555), _u16557) != c_List_Olist_ONil(_u16553)) | ( _u16557 = c_List_Olist_ONil(_u16553)) )).
% 12.29/12.55 cnf(matrix-7028, plain, ( ( _u16556 != c_List_Olist_ONil(_u16554)) | ( _u16558 != c_List_Olist_ONil(_u16554)) | ( hAPP(hAPP(c_List_Oappend(_u16554), _u16556), _u16558) = c_List_Olist_ONil(_u16554)) )).
% 12.29/12.55 cnf(matrix-7029, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16562), _u16564), _u16566) != _u16564) | ( _u16566 = c_List_Olist_ONil(_u16562)) )).
% 12.29/12.55 cnf(matrix-7030, plain, ( ( _u16567 != c_List_Olist_ONil(_u16563)) | ( hAPP(hAPP(c_List_Oappend(_u16563), _u16565), _u16567) = _u16565) )).
% 12.29/12.55 cnf(matrix-7031, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16571), _u16573), _u16575) != _u16575) | ( _u16573 = c_List_Olist_ONil(_u16571)) )).
% 12.29/12.55 cnf(matrix-7032, plain, ( ( _u16574 != c_List_Olist_ONil(_u16572)) | ( hAPP(hAPP(c_List_Oappend(_u16572), _u16574), _u16576) = _u16576) )).
% 12.29/12.55 cnf(matrix-7033, plain, ( ( _u16577 != _u16578) | ( _u16577 = hAPP(hAPP(c_List_Oappend(_u16579), c_List_Olist_ONil(_u16579)), _u16578)) )).
% 12.29/12.55 cnf(matrix-7034, plain, ( ( hAPP(hAPP(c_List_Onth(_u16580), hAPP(hAPP(c_List_Oappend(_u16580), _u16581), hAPP(hAPP(c_List_Olist_OCons(_u16580), _u16582), _u16583))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16580)), _u16581)) = _u16582) )).
% 12.29/12.55 cnf(matrix-7035, plain, ( ( hAPP(hAPP(c_List_Onth(_u16584), hAPP(hAPP(c_List_Oappend(_u16584), _u16585), _u16586)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16584)), _u16585)), _u16587)) = hAPP(hAPP(c_List_Onth(_u16584), _u16586), _u16587)) )).
% 12.29/12.55 cnf(matrix-7036, plain, ( ( hAPP(hAPP(c_List_Otake(_u16588), _u16589), hAPP(hAPP(c_List_Oappend(_u16588), _u16590), _u16591)) = hAPP(hAPP(c_List_Oappend(_u16588), hAPP(hAPP(c_List_Otake(_u16588), _u16589), _u16590)), hAPP(hAPP(c_List_Otake(_u16588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16589), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16588)), _u16590))), _u16591))) )).
% 12.29/12.55 cnf(matrix-7037, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16592), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16593)), _u16594))) | ( hAPP(hAPP(c_List_Olist__update(_u16593, hAPP(hAPP(c_List_Oappend(_u16593), _u16594), _u16595)), _u16592), _u16596) = hAPP(hAPP(c_List_Oappend(_u16593), hAPP(hAPP(c_List_Olist__update(_u16593, _u16594), _u16592), _u16596)), _u16595)) )).
% 12.29/12.55 cnf(matrix-7038, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16597, hAPP(hAPP(c_List_Oappend(_u16597), _u16598), hAPP(hAPP(c_List_Olist_OCons(_u16597), _u16599), _u16600))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16597)), _u16598)), _u16601) = hAPP(hAPP(c_List_Oappend(_u16597), _u16598), hAPP(hAPP(c_List_Olist_OCons(_u16597), _u16601), _u16600))) )).
% 12.29/12.55 cnf(matrix-7039, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16606), _u16608), hAPP(c_List_Oset(_u16606), _u16610))) | ( c_List_Oremove1(_u16606, _u16608, hAPP(hAPP(c_List_Oappend(_u16606), _u16610), _u16612)) = hAPP(hAPP(c_List_Oappend(_u16606), c_List_Oremove1(_u16606, _u16608, _u16610)), _u16612)) )).
% 12.29/12.55 cnf(matrix-7040, plain, ( hBOOL(hAPP(hAPP(c_member(_u16607), _u16609), hAPP(c_List_Oset(_u16607), _u16611))) | ( c_List_Oremove1(_u16607, _u16609, hAPP(hAPP(c_List_Oappend(_u16607), _u16611), _u16613)) = hAPP(hAPP(c_List_Oappend(_u16607), _u16611), c_List_Oremove1(_u16607, _u16609, _u16613))) )).
% 12.29/12.55 cnf(matrix-7041, plain, ( hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, hAPP(hAPP(c_List_Oappend(_u16614), _u16616), _u16617))))) | ~hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, _u16616)))) )).
% 12.29/12.55 cnf(matrix-7042, plain, ( hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, hAPP(hAPP(c_List_Oappend(_u16614), _u16616), _u16617))))) | ~hBOOL(hAPP(hAPP(c_member(_u16614), _u16615), hAPP(c_List_Oset(_u16614), c_List_Obutlast(_u16614, _u16617)))) )).
% 12.29/12.55 cnf(matrix-7043, plain, ( ( c_List_Obutlast(_u16618, hAPP(hAPP(c_List_Oappend(_u16618), _u16619), hAPP(hAPP(c_List_Olist_OCons(_u16618), _u16620), c_List_Olist_ONil(_u16618)))) = _u16619) )).
% 12.29/12.55 cnf(matrix-7044, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), hAPP(hAPP(c_List_Oappend(_u16621), _u16622), _u16625)), hAPP(hAPP(c_List_Oappend(_u16621), _u16623), _u16626))), c_List_Olistrel1(_u16621, _u16624))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), _u16622), _u16623)), c_List_Olistrel1(_u16621, _u16624))) | ( _u16625 != _u16626) )).
% 12.29/12.55 cnf(matrix-7045, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), hAPP(hAPP(c_List_Oappend(_u16621), _u16622), _u16625)), hAPP(hAPP(c_List_Oappend(_u16621), _u16623), _u16626))), c_List_Olistrel1(_u16621, _u16624))) | ( _u16622 != _u16623) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16621), tc_List_Olist(_u16621))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16621), tc_List_Olist(_u16621)), _u16625), _u16626)), c_List_Olistrel1(_u16621, _u16624))) )).
% 12.29/12.55 cnf(matrix-7046, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16627), tc_List_Olist(_u16627))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16627), tc_List_Olist(_u16627)), _u16628), _u16629)), c_List_Olexord(_u16627, _u16630))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16627), tc_List_Olist(_u16627))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16627), tc_List_Olist(_u16627)), hAPP(hAPP(c_List_Oappend(_u16627), _u16631), _u16628)), hAPP(hAPP(c_List_Oappend(_u16627), _u16631), _u16629))), c_List_Olexord(_u16627, _u16630))) )).
% 12.29/12.55 cnf(matrix-7047, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16635), hAPP(hAPP(c_List_Oappend(_u16635), _u16637), _u16639))) | hBOOL(hAPP(c_List_Odistinct(_u16635), _u16637)) )).
% 12.29/12.55 cnf(matrix-7048, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16635), hAPP(hAPP(c_List_Oappend(_u16635), _u16637), _u16639))) | hBOOL(hAPP(c_List_Odistinct(_u16635), _u16639)) )).
% 12.29/12.55 cnf(matrix-7049, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16635), hAPP(hAPP(c_List_Oappend(_u16635), _u16637), _u16639))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16635, tc_HOL_Obool)), hAPP(c_List_Oset(_u16635), _u16637)), hAPP(c_List_Oset(_u16635), _u16639)) = c_Orderings_Obot__class_Obot(tc_fun(_u16635, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7050, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16636), _u16638)) | ~hBOOL(hAPP(c_List_Odistinct(_u16636), _u16640)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16636, tc_HOL_Obool)), hAPP(c_List_Oset(_u16636), _u16638)), hAPP(c_List_Oset(_u16636), _u16640)) != c_Orderings_Obot__class_Obot(tc_fun(_u16636, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16636), hAPP(hAPP(c_List_Oappend(_u16636), _u16638), _u16640))) )).
% 12.29/12.55 cnf(matrix-7051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16645), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16647)), _u16649))) | ( hAPP(hAPP(c_List_Onth(_u16647), hAPP(hAPP(c_List_Oappend(_u16647), _u16649), _u16651)), _u16645) = hAPP(hAPP(c_List_Onth(_u16647), _u16649), _u16645)) )).
% 12.29/12.55 cnf(matrix-7052, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16648)), _u16650))) | ( hAPP(hAPP(c_List_Onth(_u16648), hAPP(hAPP(c_List_Oappend(_u16648), _u16650), _u16652)), _u16646) = hAPP(hAPP(c_List_Onth(_u16648), _u16652), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16646), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16648)), _u16650)))) )).
% 12.29/12.55 cnf(matrix-7053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16658), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16660)), _u16662))) | ( hAPP(hAPP(c_List_Olist__update(_u16660, hAPP(hAPP(c_List_Oappend(_u16660), _u16662), _u16664)), _u16658), _u16666) = hAPP(hAPP(c_List_Oappend(_u16660), hAPP(hAPP(c_List_Olist__update(_u16660, _u16662), _u16658), _u16666)), _u16664)) )).
% 12.29/12.55 cnf(matrix-7054, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16659), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16661)), _u16663))) | ( hAPP(hAPP(c_List_Olist__update(_u16661, hAPP(hAPP(c_List_Oappend(_u16661), _u16663), _u16665)), _u16659), _u16667) = hAPP(hAPP(c_List_Oappend(_u16661), _u16663), hAPP(hAPP(c_List_Olist__update(_u16661, _u16665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16659), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16661)), _u16663))), _u16667))) )).
% 12.29/12.55 cnf(matrix-7055, plain, ( ( c_List_Osublist(_u16668, hAPP(hAPP(c_List_Oappend(_u16668), _u16669), _u16670), _u16671) = hAPP(hAPP(c_List_Oappend(_u16668), c_List_Osublist(_u16668, _u16669, _u16671)), c_List_Osublist(_u16668, _u16670, 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(_u16668)), _u16669)))), _u16671))))) )).
% 12.29/12.55 cnf(matrix-7056, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16672, _u16672)), hAPP(hAPP(c_Product__Type_OPair(_u16672, _u16672), _u16673), _u16674)), _u16675)) | ( _u16676 != hAPP(hAPP(c_List_Oappend(_u16672), _u16677), hAPP(hAPP(c_List_Olist_OCons(_u16672), _u16673), _u16678))) | ( _u16679 != hAPP(hAPP(c_List_Oappend(_u16672), _u16677), hAPP(hAPP(c_List_Olist_OCons(_u16672), _u16674), _u16678))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16672), tc_List_Olist(_u16672))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16672), tc_List_Olist(_u16672)), _u16676), _u16679)), c_List_Olistrel1(_u16672, _u16675))) )).
% 12.29/12.55 cnf(matrix-7057, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16680, _u16680)), hAPP(hAPP(c_Product__Type_OPair(_u16680, _u16680), _u16681), _u16682)), _u16683)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16680), tc_List_Olist(_u16680))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16680), tc_List_Olist(_u16680)), hAPP(hAPP(c_List_Oappend(_u16680), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16680), _u16681), _u16685))), hAPP(hAPP(c_List_Oappend(_u16680), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16680), _u16682), _u16686)))), c_List_Olexord(_u16680, _u16683))) )).
% 12.29/12.55 cnf(matrix-7058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16687), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16688)), _u16689))) | ( hAPP(hAPP(c_List_Otake(_u16688), hAPP(c_Nat_OSuc, _u16687)), _u16689) = hAPP(hAPP(c_List_Oappend(_u16688), hAPP(hAPP(c_List_Otake(_u16688), _u16687), _u16689)), hAPP(hAPP(c_List_Olist_OCons(_u16688), hAPP(hAPP(c_List_Onth(_u16688), _u16689), _u16687)), c_List_Olist_ONil(_u16688)))) )).
% 12.29/12.55 cnf(matrix-7059, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16694), tc_List_Olist(_u16694))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16694), tc_List_Olist(_u16694)), _u16695), _u16696)), c_List_Olistrel1(_u16694, _u16697))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16694, _u16694)), hAPP(hAPP(c_Product__Type_OPair(_u16694, _u16694), skolem453(_u16697, _u16696, _u16695, _u16694)), skolem454(_u16697, _u16696, _u16695, _u16694))), _u16697)) )).
% 12.29/12.55 cnf(matrix-7060, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16694), tc_List_Olist(_u16694))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16694), tc_List_Olist(_u16694)), _u16695), _u16696)), c_List_Olistrel1(_u16694, _u16697))) | ( _u16695 = hAPP(hAPP(c_List_Oappend(_u16694), skolem455(_u16697, _u16696, _u16695, _u16694)), hAPP(hAPP(c_List_Olist_OCons(_u16694), skolem453(_u16697, _u16696, _u16695, _u16694)), skolem456(_u16697, _u16696, _u16695, _u16694)))) )).
% 12.29/12.55 cnf(matrix-7061, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16694), tc_List_Olist(_u16694))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16694), tc_List_Olist(_u16694)), _u16695), _u16696)), c_List_Olistrel1(_u16694, _u16697))) | ( _u16696 = hAPP(hAPP(c_List_Oappend(_u16694), skolem455(_u16697, _u16696, _u16695, _u16694)), hAPP(hAPP(c_List_Olist_OCons(_u16694), skolem454(_u16697, _u16696, _u16695, _u16694)), skolem456(_u16697, _u16696, _u16695, _u16694)))) )).
% 12.29/12.55 cnf(matrix-7062, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16699), tc_List_Olist(_u16699))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16699), tc_List_Olist(_u16699)), hAPP(hAPP(c_List_Oappend(_u16699), _u16700), _u16701)), hAPP(hAPP(c_List_Oappend(_u16699), _u16700), _u16702))), c_List_Olexord(_u16699, _u16703))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16699, _u16699)), hAPP(hAPP(c_Product__Type_OPair(_u16699, _u16699), skolem457(_u16703, _u16702, _u16701, _u16700, _u16699)), skolem457(_u16703, _u16702, _u16701, _u16700, _u16699))), _u16703)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16699), tc_List_Olist(_u16699))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16699), tc_List_Olist(_u16699)), _u16701), _u16702)), c_List_Olexord(_u16699, _u16703))) )).
% 12.29/12.55 cnf(matrix-7063, plain, ( ( hAPP(c_List_Orotate1(_u16704), _u16705) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16704), _u16704, c_List_Olist_ONil(_u16704), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16704), tc_fun(tc_List_Olist(_u16704), tc_List_Olist(_u16704)), _u16704), hAPP(c_COMBC(tc_List_Olist(_u16704), tc_List_Olist(_u16704), tc_List_Olist(_u16704)), c_List_Oappend(_u16704))), hAPP(hAPP(c_COMBC(_u16704, tc_List_Olist(_u16704), tc_List_Olist(_u16704)), c_List_Olist_OCons(_u16704)), c_List_Olist_ONil(_u16704)))), _u16705)) )).
% 12.29/12.55 cnf(matrix-7064, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16706), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16707)), _u16708))) | ( hAPP(hAPP(c_List_Olist__update(_u16707, _u16708), _u16706), _u16709) = hAPP(hAPP(c_List_Oappend(_u16707), hAPP(hAPP(c_List_Otake(_u16707), _u16706), _u16708)), hAPP(hAPP(c_List_Olist_OCons(_u16707), _u16709), hAPP(hAPP(c_List_Odrop(_u16707), hAPP(c_Nat_OSuc, _u16706)), _u16708)))) )).
% 12.29/12.55 cnf(matrix-7065, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16710), hAPP(hAPP(c_List_Otake(_u16710), _u16711), _u16712)), hAPP(hAPP(c_List_Odrop(_u16710), _u16711), _u16712)) = _u16712) )).
% 12.29/12.55 cnf(matrix-7066, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16713), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16714), _u16715)) = _u16715) )).
% 12.29/12.55 cnf(matrix-7067, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16716), hAPP(c_Nat_OSuc, _u16717)), hAPP(hAPP(c_List_Olist_OCons(_u16716), _u16718), _u16719)) = hAPP(hAPP(c_List_Odrop(_u16716), _u16717), _u16719)) )).
% 12.29/12.55 cnf(matrix-7068, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16720), _u16721), _u16722) != hAPP(hAPP(c_List_Olist_OCons(_u16720), _u16723), _u16724)) | ( hAPP(hAPP(c_List_Onth(_u16720), _u16722), _u16721) = _u16723) )).
% 12.29/12.55 cnf(matrix-7069, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16725), _u16726)) | hBOOL(hAPP(c_List_Odistinct(_u16725), hAPP(hAPP(c_List_Odrop(_u16725), _u16727), _u16726))) )).
% 12.29/12.55 cnf(matrix-7070, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16730), hAPP(c_List_Orotate1(_u16730), _u16732))) | hBOOL(hAPP(c_List_Odistinct(_u16730), _u16732)) )).
% 12.29/12.55 cnf(matrix-7071, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16731), _u16733)) | hBOOL(hAPP(c_List_Odistinct(_u16731), hAPP(c_List_Orotate1(_u16731), _u16733))) )).
% 12.29/12.55 cnf(matrix-7072, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16734, _u16735)), _u16736), hAPP(hAPP(c_List_Ozip(_u16734, _u16735), _u16737), _u16738)) = hAPP(hAPP(c_List_Ozip(_u16734, _u16735), hAPP(hAPP(c_List_Odrop(_u16734), _u16736), _u16737)), hAPP(hAPP(c_List_Odrop(_u16735), _u16736), _u16738))) )).
% 12.29/12.55 cnf(matrix-7073, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16739), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16740) = _u16740) )).
% 12.29/12.55 cnf(matrix-7074, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16741), _u16742), hAPP(hAPP(c_List_Odrop(_u16741), _u16743), _u16744)) = hAPP(hAPP(c_List_Odrop(_u16741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16742), _u16743)), _u16744)) )).
% 12.29/12.55 cnf(matrix-7075, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16745), _u16746), hAPP(hAPP(c_List_Otake(_u16745), _u16747), _u16748)) = hAPP(hAPP(c_List_Otake(_u16745), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16747), _u16746)), hAPP(hAPP(c_List_Odrop(_u16745), _u16746), _u16748))) )).
% 12.29/12.55 cnf(matrix-7076, plain, ( ( hAPP(hAPP(c_List_Otake(_u16749), _u16750), hAPP(hAPP(c_List_Odrop(_u16749), _u16751), _u16752)) = hAPP(hAPP(c_List_Odrop(_u16749), _u16751), hAPP(hAPP(c_List_Otake(_u16749), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16750), _u16751)), _u16752))) )).
% 12.29/12.55 cnf(matrix-7077, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16753), _u16754), hAPP(c_List_Oset(_u16753), hAPP(hAPP(c_List_Odrop(_u16753), _u16755), _u16756)))) | hBOOL(hAPP(hAPP(c_member(_u16753), _u16754), hAPP(c_List_Oset(_u16753), _u16756))) )).
% 12.29/12.55 cnf(matrix-7078, plain, ( ( hAPP(c_List_Oset(_u16757), hAPP(c_List_Orotate1(_u16757), _u16758)) = hAPP(c_List_Oset(_u16757), _u16758)) )).
% 12.29/12.55 cnf(matrix-7079, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16759, tc_HOL_Obool)), hAPP(c_List_Oset(_u16759), hAPP(hAPP(c_List_Odrop(_u16759), _u16760), _u16761))), hAPP(c_List_Oset(_u16759), _u16761))) )).
% 12.29/12.55 cnf(matrix-7080, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16762)), hAPP(hAPP(c_List_Odrop(_u16762), _u16763), _u16764)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16762)), _u16764)), _u16763)) )).
% 12.29/12.55 cnf(matrix-7081, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16765)), hAPP(c_List_Orotate1(_u16765), _u16766)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16765)), _u16766)) )).
% 12.29/12.55 cnf(matrix-7082, plain, ( ( c_List_Obutlast(_u16767, hAPP(hAPP(c_List_Odrop(_u16767), _u16768), _u16769)) = hAPP(hAPP(c_List_Odrop(_u16767), _u16768), c_List_Obutlast(_u16767, _u16769))) )).
% 12.29/12.55 cnf(matrix-7083, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16770), _u16771), c_List_Obutlast(_u16770, _u16772)) = c_List_Obutlast(_u16770, hAPP(hAPP(c_List_Odrop(_u16770), _u16771), _u16772))) )).
% 12.29/12.55 cnf(matrix-7084, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16773), _u16774), c_List_Olist_ONil(_u16773)) = c_List_Olist_ONil(_u16773)) )).
% 12.29/12.55 cnf(matrix-7085, plain, ( ( hAPP(c_List_Orotate1(_u16777), _u16779) != c_List_Olist_ONil(_u16777)) | ( _u16779 = c_List_Olist_ONil(_u16777)) )).
% 12.29/12.55 cnf(matrix-7086, plain, ( ( _u16780 != c_List_Olist_ONil(_u16778)) | ( hAPP(c_List_Orotate1(_u16778), _u16780) = c_List_Olist_ONil(_u16778)) )).
% 12.29/12.55 cnf(matrix-7087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16781), _u16782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16783, tc_HOL_Obool)), hAPP(c_List_Oset(_u16783), hAPP(hAPP(c_List_Odrop(_u16783), _u16782), _u16784))), hAPP(c_List_Oset(_u16783), hAPP(hAPP(c_List_Odrop(_u16783), _u16781), _u16784)))) )).
% 12.29/12.55 cnf(matrix-7088, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16788), _u16790), _u16792) != c_List_Olist_ONil(_u16788)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16788)), _u16792)), _u16790)) )).
% 12.29/12.55 cnf(matrix-7089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16789)), _u16793)), _u16791)) | ( hAPP(hAPP(c_List_Odrop(_u16789), _u16791), _u16793) = c_List_Olist_ONil(_u16789)) )).
% 12.29/12.55 cnf(matrix-7090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16794)), _u16795)), _u16796)) | ( hAPP(hAPP(c_List_Odrop(_u16794), _u16796), _u16795) = c_List_Olist_ONil(_u16794)) )).
% 12.29/12.55 cnf(matrix-7091, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16797), _u16798), hAPP(hAPP(c_List_Oappend(_u16797), _u16799), _u16800)) = hAPP(hAPP(c_List_Oappend(_u16797), hAPP(hAPP(c_List_Odrop(_u16797), _u16798), _u16799)), hAPP(hAPP(c_List_Odrop(_u16797), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16798), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16797)), _u16799))), _u16800))) )).
% 12.29/12.55 cnf(matrix-7092, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16805), _u16807), _u16809) != _u16811) | ( _u16807 = hAPP(hAPP(c_List_Otake(_u16805), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16805)), _u16807)), _u16811)) )).
% 12.29/12.55 cnf(matrix-7093, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16805), _u16807), _u16809) != _u16811) | ( _u16809 = hAPP(hAPP(c_List_Odrop(_u16805), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16805)), _u16807)), _u16811)) )).
% 12.29/12.55 cnf(matrix-7094, plain, ( ( _u16808 != hAPP(hAPP(c_List_Otake(_u16806), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16806)), _u16808)), _u16812)) | ( _u16810 != hAPP(hAPP(c_List_Odrop(_u16806), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16806)), _u16808)), _u16812)) | ( hAPP(hAPP(c_List_Oappend(_u16806), _u16808), _u16810) = _u16812) )).
% 12.29/12.55 cnf(matrix-7095, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16813), _u16814), hAPP(hAPP(c_List_Olist_OCons(_u16813), _u16815), _u16816)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16813), hAPP(hAPP(c_List_Olist_OCons(_u16813), _u16815), _u16816), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16813), tc_List_Olist(_u16813)), c_List_Odrop(_u16813)), _u16816), _u16814)) )).
% 12.29/12.55 cnf(matrix-7096, plain, ( ( _u16821 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16823), _u16821), hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16825), _u16827)) = hAPP(hAPP(c_List_Olist_OCons(_u16823), _u16825), _u16827)) )).
% 12.29/12.55 cnf(matrix-7097, plain, ( ( _u16822 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16824), _u16822), hAPP(hAPP(c_List_Olist_OCons(_u16824), _u16826), _u16828)) = hAPP(hAPP(c_List_Odrop(_u16824), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16822), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16828)) )).
% 12.29/12.55 cnf(matrix-7098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16829), _u16830)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16831)), _u16832))) | ( hAPP(hAPP(c_List_Onth(_u16831), hAPP(hAPP(c_List_Odrop(_u16831), _u16829), _u16832)), _u16830) = hAPP(hAPP(c_List_Onth(_u16831), _u16832), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16829), _u16830))) )).
% 12.29/12.55 cnf(matrix-7099, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( _u16840 = hAPP(hAPP(c_List_Otake(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), _u16844)) )).
% 12.29/12.55 cnf(matrix-7100, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( _u16842 = hAPP(hAPP(c_List_Oappend(_u16838), hAPP(hAPP(c_List_Odrop(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), _u16844)), _u16846)) )).
% 12.29/12.55 cnf(matrix-7101, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( hAPP(hAPP(c_List_Otake(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844)), _u16840) = _u16844) )).
% 12.29/12.55 cnf(matrix-7102, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16838), _u16840), _u16842) != hAPP(hAPP(c_List_Oappend(_u16838), _u16844), _u16846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16840)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844))) | ( hAPP(hAPP(c_List_Oappend(_u16838), hAPP(hAPP(c_List_Odrop(_u16838), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16838)), _u16844)), _u16840)), _u16842) = _u16846) )).
% 12.29/12.55 cnf(matrix-7103, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16839), _u16841), _u16843) = hAPP(hAPP(c_List_Oappend(_u16839), _u16845), _u16847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845))) | ( hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841) != _u16845) | ( hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841)), _u16843) != _u16847) )).
% 12.29/12.55 cnf(matrix-7104, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16839), _u16841), _u16843) = hAPP(hAPP(c_List_Oappend(_u16839), _u16845), _u16847)) | ( _u16841 != hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)) | ( _u16843 != hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)), _u16847)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845))) )).
% 12.29/12.55 cnf(matrix-7105, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16839), _u16841), _u16843) = hAPP(hAPP(c_List_Oappend(_u16839), _u16845), _u16847)) | ( _u16841 != hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)) | ( _u16843 != hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16841)), _u16845)), _u16847)) | ( hAPP(hAPP(c_List_Otake(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841) != _u16845) | ( hAPP(hAPP(c_List_Oappend(_u16839), hAPP(hAPP(c_List_Odrop(_u16839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16839)), _u16845)), _u16841)), _u16843) != _u16847) )).
% 12.29/12.55 cnf(matrix-7106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16848), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16849)), _u16850))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16849), hAPP(hAPP(c_List_Onth(_u16849), _u16850), _u16848)), hAPP(hAPP(c_List_Odrop(_u16849), hAPP(c_Nat_OSuc, _u16848)), _u16850)) = hAPP(hAPP(c_List_Odrop(_u16849), _u16848), _u16850)) )).
% 12.29/12.55 cnf(matrix-7107, plain, ( ( hAPP(c_List_Orotate1(_u16851), c_List_Olist_ONil(_u16851)) = c_List_Olist_ONil(_u16851)) )).
% 12.29/12.55 cnf(matrix-7108, plain, ( ( hAPP(c_List_Orotate1(_u16852), hAPP(hAPP(c_List_Olist_OCons(_u16852), _u16853), _u16854)) = hAPP(hAPP(c_List_Oappend(_u16852), _u16854), hAPP(hAPP(c_List_Olist_OCons(_u16852), _u16853), c_List_Olist_ONil(_u16852)))) )).
% 12.29/12.55 cnf(matrix-7109, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16859) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16861), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16859)), hAPP(hAPP(c_List_Olist_OCons(_u16861), _u16863), _u16865)) = hAPP(hAPP(c_List_Olist_OCons(_u16861), _u16863), _u16865)) )).
% 12.29/12.55 cnf(matrix-7110, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16860) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16862), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16860)), hAPP(hAPP(c_List_Olist_OCons(_u16862), _u16864), _u16866)) = hAPP(hAPP(c_List_Odrop(_u16862), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16860)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16866)) )).
% 12.29/12.55 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16867), _u16868)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16869)), _u16870))) | ( hAPP(hAPP(c_List_Otake(_u16869), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16867), _u16868)), _u16870) = hAPP(hAPP(c_List_Oappend(_u16869), hAPP(hAPP(c_List_Otake(_u16869), _u16867), _u16870)), hAPP(hAPP(c_List_Otake(_u16869), _u16868), hAPP(hAPP(c_List_Odrop(_u16869), _u16867), _u16870)))) )).
% 12.29/12.55 cnf(matrix-7112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16871)), _u16872)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16871), _u16872) = _u16872) )).
% 12.29/12.55 cnf(matrix-7113, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16873, _u16874), _u16875), hAPP(hAPP(c_List_Oappend(_u16874), _u16876), _u16877)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16873, _u16874)), hAPP(hAPP(c_List_Ozip(_u16873, _u16874), hAPP(hAPP(c_List_Otake(_u16873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16874)), _u16876)), _u16875)), _u16876)), hAPP(hAPP(c_List_Ozip(_u16873, _u16874), hAPP(hAPP(c_List_Odrop(_u16873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16874)), _u16876)), _u16875)), _u16877))) )).
% 12.29/12.55 cnf(matrix-7114, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16878, _u16879), hAPP(hAPP(c_List_Oappend(_u16878), _u16880), _u16881)), _u16882) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16878, _u16879)), hAPP(hAPP(c_List_Ozip(_u16878, _u16879), _u16880), hAPP(hAPP(c_List_Otake(_u16879), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16878)), _u16880)), _u16882))), hAPP(hAPP(c_List_Ozip(_u16878, _u16879), _u16881), hAPP(hAPP(c_List_Odrop(_u16879), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16878)), _u16880)), _u16882)))) )).
% 12.29/12.55 cnf(matrix-7115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16883), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16884)), _u16885))) | ( _u16885 = hAPP(hAPP(c_List_Oappend(_u16884), hAPP(hAPP(c_List_Otake(_u16884), _u16883), _u16885)), hAPP(hAPP(c_List_Olist_OCons(_u16884), hAPP(hAPP(c_List_Onth(_u16884), _u16885), _u16883)), hAPP(hAPP(c_List_Odrop(_u16884), hAPP(c_Nat_OSuc, _u16883)), _u16885)))) )).
% 12.29/12.55 cnf(matrix-7116, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16886), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16887)), _u16888))) | ( hAPP(hAPP(c_List_Oappend(_u16887), hAPP(hAPP(c_List_Otake(_u16887), _u16886), _u16888)), hAPP(hAPP(c_List_Olist_OCons(_u16887), hAPP(c_List_Ohd(_u16887), hAPP(hAPP(c_List_Odrop(_u16887), _u16886), _u16888))), c_List_Olist_ONil(_u16887))) = hAPP(hAPP(c_List_Otake(_u16887), hAPP(c_Nat_OSuc, _u16886)), _u16888)) )).
% 12.29/12.55 cnf(matrix-7117, plain, ( ( _u16889 = c_List_Olist_ONil(_u16890)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16891), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16890)), _u16889))) | ( hAPP(c_List_Ohd(_u16890), hAPP(hAPP(c_List_Odrop(_u16890), _u16891), _u16889)) = hAPP(hAPP(c_List_Onth(_u16890), _u16889), _u16891)) )).
% 12.29/12.55 cnf(matrix-7118, plain, ( ( hAPP(c_List_Ohd(_u16892), hAPP(hAPP(c_List_Olist_OCons(_u16892), _u16893), _u16894)) = _u16893) )).
% 12.29/12.55 cnf(matrix-7119, plain, ( ( _u16895 = c_List_Olist_ONil(_u16896)) | ( hAPP(c_List_Ohd(_u16896), hAPP(hAPP(c_List_Oappend(_u16896), _u16895), _u16897)) = hAPP(c_List_Ohd(_u16896), _u16895)) )).
% 12.29/12.55 cnf(matrix-7120, plain, ( ( _u16901 != c_List_Olist_ONil(_u16903)) | ( hAPP(c_List_Ohd(_u16903), hAPP(hAPP(c_List_Oappend(_u16903), _u16901), _u16905)) = hAPP(c_List_Ohd(_u16903), _u16905)) )).
% 12.29/12.55 cnf(matrix-7121, plain, ( ( _u16902 = c_List_Olist_ONil(_u16904)) | ( hAPP(c_List_Ohd(_u16904), hAPP(hAPP(c_List_Oappend(_u16904), _u16902), _u16906)) = hAPP(c_List_Ohd(_u16904), _u16902)) )).
% 12.29/12.55 cnf(matrix-7122, plain, ( ( _u16907 = c_List_Olist_ONil(_u16908)) | hBOOL(hAPP(hAPP(c_member(_u16908), hAPP(c_List_Ohd(_u16908), _u16907)), hAPP(c_List_Oset(_u16908), _u16907))) )).
% 12.29/12.55 cnf(matrix-7123, plain, ( ( _u16909 = c_List_Olist_ONil(_u16910)) | ( hAPP(c_List_Ohd(_u16910), _u16909) = hAPP(hAPP(c_List_Onth(_u16910), _u16909), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7124, plain, ( ( _u16911 = c_List_Olist_ONil(_u16912)) | ( hAPP(c_List_Orotate1(_u16912), _u16911) = hAPP(hAPP(c_List_Oappend(_u16912), hAPP(c_List_Otl(_u16912), _u16911)), hAPP(hAPP(c_List_Olist_OCons(_u16912), hAPP(c_List_Ohd(_u16912), _u16911)), c_List_Olist_ONil(_u16912)))) )).
% 12.29/12.55 cnf(matrix-7125, plain, ( ( _u16913 = c_List_Olist_ONil(_u16914)) | ( hAPP(c_List_Ohd(_u16914), hAPP(c_List_Orotate(_u16914, _u16915), _u16913)) = hAPP(hAPP(c_List_Onth(_u16914), _u16913), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16915, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16914)), _u16913)))) )).
% 12.29/12.55 cnf(matrix-7126, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16916), _u16917), hAPP(c_List_Otl(_u16916), _u16918)) = hAPP(c_List_Otl(_u16916), hAPP(hAPP(c_List_Odrop(_u16916), _u16917), _u16918))) )).
% 12.29/12.55 cnf(matrix-7127, plain, ( ( hAPP(c_List_Otl(_u16919), hAPP(hAPP(c_List_Odrop(_u16919), _u16920), _u16921)) = hAPP(hAPP(c_List_Odrop(_u16919), _u16920), hAPP(c_List_Otl(_u16919), _u16921))) )).
% 12.29/12.55 cnf(matrix-7128, plain, ( ( hAPP(c_List_Otl(_u16922), hAPP(hAPP(c_List_Olist_OCons(_u16922), _u16923), _u16924)) = _u16924) )).
% 12.29/12.55 cnf(matrix-7129, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16925), _u16926)) | hBOOL(hAPP(c_List_Odistinct(_u16925), hAPP(c_List_Otl(_u16925), _u16926))) )).
% 12.29/12.55 cnf(matrix-7130, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16930), hAPP(c_List_Orotate(_u16930, _u16932), _u16934))) | hBOOL(hAPP(c_List_Odistinct(_u16930), _u16934)) )).
% 12.29/12.55 cnf(matrix-7131, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16931), _u16935)) | hBOOL(hAPP(c_List_Odistinct(_u16931), hAPP(c_List_Orotate(_u16931, _u16933), _u16935))) )).
% 12.29/12.55 cnf(matrix-7132, plain, ( ( c_List_Orotate(_u16936, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16937), _u16938)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16936), tc_List_Olist(_u16936), tc_List_Olist(_u16936), c_List_Orotate(_u16936, _u16937)), c_List_Orotate(_u16936, _u16938))) )).
% 12.29/12.55 cnf(matrix-7133, plain, ( ( c_List_Orotate(_u16939, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16939))) )).
% 12.29/12.55 cnf(matrix-7134, plain, ( ( hAPP(c_List_Orotate(_u16940, _u16941), hAPP(c_List_Orotate(_u16940, _u16942), _u16943)) = hAPP(c_List_Orotate(_u16940, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16941), _u16942)), _u16943)) )).
% 12.29/12.55 cnf(matrix-7135, plain, ( ( hAPP(c_List_Oset(_u16944), hAPP(c_List_Orotate(_u16944, _u16945), _u16946)) = hAPP(c_List_Oset(_u16944), _u16946)) )).
% 12.29/12.55 cnf(matrix-7136, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16947)), hAPP(c_List_Orotate(_u16947, _u16948), _u16949)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16947)), _u16949)) )).
% 12.29/12.55 cnf(matrix-7137, plain, ( ( hAPP(c_List_Otl(_u16950), c_List_Olist_ONil(_u16950)) = c_List_Olist_ONil(_u16950)) )).
% 12.29/12.55 cnf(matrix-7138, plain, ( ( hAPP(c_List_Orotate(_u16954, _u16956), _u16958) != c_List_Olist_ONil(_u16954)) | ( _u16958 = c_List_Olist_ONil(_u16954)) )).
% 12.29/12.55 cnf(matrix-7139, plain, ( ( _u16959 != c_List_Olist_ONil(_u16955)) | ( hAPP(c_List_Orotate(_u16955, _u16957), _u16959) = c_List_Olist_ONil(_u16955)) )).
% 12.29/12.55 cnf(matrix-7140, plain, ( ( c_List_Orotate(_u16960, _u16961) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16960), tc_List_Olist(_u16960)), _u16961), c_List_Orotate1(_u16960))) )).
% 12.29/12.55 cnf(matrix-7141, plain, ( ( hAPP(c_List_Orotate1(_u16962), hAPP(c_List_Orotate(_u16962, _u16963), _u16964)) = hAPP(c_List_Orotate(_u16962, _u16963), hAPP(c_List_Orotate1(_u16962), _u16964))) )).
% 12.29/12.55 cnf(matrix-7142, plain, ( ( _u16965 = c_List_Olist_ONil(_u16966)) | ( hAPP(c_List_Otl(_u16966), hAPP(hAPP(c_List_Oappend(_u16966), _u16965), _u16967)) = hAPP(hAPP(c_List_Oappend(_u16966), hAPP(c_List_Otl(_u16966), _u16965)), _u16967)) )).
% 12.29/12.55 cnf(matrix-7143, plain, ( ( hAPP(hAPP(c_List_Otake(_u16968), _u16969), hAPP(c_List_Otl(_u16968), _u16970)) = hAPP(c_List_Otl(_u16968), hAPP(hAPP(c_List_Otake(_u16968), hAPP(c_Nat_OSuc, _u16969)), _u16970))) )).
% 12.29/12.55 cnf(matrix-7144, plain, ( ( hAPP(c_List_Orotate(_u16971, _u16972), _u16973) = hAPP(c_List_Orotate(_u16971, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16972, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16971)), _u16973))), _u16973)) )).
% 12.29/12.55 cnf(matrix-7145, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16974), hAPP(c_Nat_OSuc, _u16975)), _u16976) = hAPP(hAPP(c_List_Odrop(_u16974), _u16975), hAPP(c_List_Otl(_u16974), _u16976))) )).
% 12.29/12.55 cnf(matrix-7146, plain, ( ( hAPP(c_List_Orotate(_u16977, hAPP(c_Nat_OSuc, _u16978)), _u16979) = hAPP(c_List_Orotate1(_u16977), hAPP(c_List_Orotate(_u16977, _u16978), _u16979))) )).
% 12.29/12.55 cnf(matrix-7147, plain, ( ( hAPP(c_List_Otl(_u16980), hAPP(hAPP(c_List_Oappend(_u16980), _u16981), _u16982)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16980), _u16980, hAPP(c_List_Otl(_u16980), _u16982), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16980), tc_List_Olist(_u16980)), _u16980), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16980), tc_List_Olist(_u16980), tc_List_Olist(_u16980)), c_List_Oappend(_u16980)), _u16982))), _u16981)) )).
% 12.29/12.55 cnf(matrix-7148, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16983, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16984)), _u16985)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16984, _u16983), _u16985) = _u16985) )).
% 12.29/12.55 cnf(matrix-7149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16986, _u16988), _u16987) = _u16987) )).
% 12.29/12.55 cnf(matrix-7150, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16989)), hAPP(c_List_Otl(_u16989), _u16990)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16989)), _u16990)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7151, plain, ( ( hAPP(c_List_Otl(_u16991), hAPP(hAPP(c_List_Otake(_u16991), _u16992), _u16993)) = hAPP(hAPP(c_List_Otake(_u16991), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16992), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16991), _u16993))) )).
% 12.29/12.55 cnf(matrix-7152, plain, ( ( _u16994 = c_List_Olist_ONil(_u16995)) | ( hAPP(hAPP(c_List_Otake(_u16995), hAPP(c_Nat_OSuc, _u16996)), _u16994) = hAPP(hAPP(c_List_Olist_OCons(_u16995), hAPP(c_List_Ohd(_u16995), _u16994)), hAPP(hAPP(c_List_Otake(_u16995), _u16996), hAPP(c_List_Otl(_u16995), _u16994)))) )).
% 12.29/12.55 cnf(matrix-7153, plain, ( ( hAPP(c_List_Orotate(_u16997, _u16998), _u16999) = hAPP(hAPP(c_List_Oappend(_u16997), hAPP(hAPP(c_List_Odrop(_u16997), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16998, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16997)), _u16999))), _u16999)), hAPP(hAPP(c_List_Otake(_u16997), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16998, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16997)), _u16999))), _u16999))) )).
% 12.29/12.55 cnf(matrix-7154, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u17000) | ( _u17001 = c_List_Olist_ONil(_u17000)) | ( hAPP(c_Finite__Set_Ofold1(_u17000, c_Groups_Otimes__class_Otimes(_u17000)), hAPP(c_List_Oset(_u17000), _u17001)) = hAPP(c_List_Ofoldl(_u17000, _u17000, c_Groups_Otimes__class_Otimes(_u17000), hAPP(c_List_Ohd(_u17000), _u17001)), hAPP(c_List_Otl(_u17000), _u17001))) )).
% 12.29/12.55 cnf(matrix-7155, plain, ( ( _u17004 != hAPP(hAPP(c_List_Olist_OCons(_u17005), _u17003), _u17002)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17005), tc_List_Olist(_u17005))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17005), tc_List_Olist(_u17005)), _u17006), hAPP(hAPP(c_List_Oappend(_u17005), _u17006), _u17004))), c_List_Olexord(_u17005, _u17007))) )).
% 12.29/12.55 cnf(matrix-7156, plain, ( ( hAPP(c_List_Ofoldl(_u17008, _u17009, _u17010, _u17011), c_List_Olist_ONil(_u17009)) = _u17011) )).
% 12.29/12.55 cnf(matrix-7157, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17012), _u17013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17012), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17013), _u17014))) )).
% 12.29/12.55 cnf(matrix-7158, plain, ( ~class_Groups_Osemigroup__add(_u17015) | ( hAPP(c_List_Ofoldl(_u17015, _u17015, c_Groups_Oplus__class_Oplus(_u17015), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17015), _u17016), _u17017)), _u17018) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17015), _u17016), hAPP(c_List_Ofoldl(_u17015, _u17015, c_Groups_Oplus__class_Oplus(_u17015), _u17017), _u17018))) )).
% 12.29/12.55 cnf(matrix-7159, plain, ( ~class_Groups_Omonoid__add(_u17019) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17019), _u17020), hAPP(c_List_Ofoldl(_u17019, _u17019, c_Groups_Oplus__class_Oplus(_u17019), c_Groups_Ozero__class_Ozero(_u17019)), _u17021)) = hAPP(c_List_Ofoldl(_u17019, _u17019, c_Groups_Oplus__class_Oplus(_u17019), _u17020), _u17021)) )).
% 12.29/12.55 cnf(matrix-7160, plain, ( ( hAPP(c_List_Ofoldl(_u17022, _u17023, _u17024, _u17025), hAPP(hAPP(c_List_Olist_OCons(_u17023), _u17026), _u17027)) = hAPP(c_List_Ofoldl(_u17022, _u17023, _u17024, hAPP(hAPP(_u17024, _u17025), _u17026)), _u17027)) )).
% 12.29/12.55 cnf(matrix-7161, plain, ( ( hAPP(c_List_Ofoldl(_u17028, _u17029, _u17030, _u17031), hAPP(hAPP(c_List_Oappend(_u17029), _u17032), _u17033)) = hAPP(c_List_Ofoldl(_u17028, _u17029, _u17030, hAPP(c_List_Ofoldl(_u17028, _u17029, _u17030, _u17031), _u17032)), _u17033)) )).
% 12.29/12.55 cnf(matrix-7162, plain, ( ~class_Groups_Omonoid__add(_u17034) | ( c_List_Omonoid__add__class_Olistsum(_u17034) = c_List_Ofoldl(_u17034, _u17034, c_Groups_Oplus__class_Oplus(_u17034), c_Groups_Ozero__class_Ozero(_u17034))) )).
% 12.29/12.55 cnf(matrix-7163, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17039), _u17041) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17039 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7164, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17039), _u17041) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17035), hAPP(c_List_Oset(tc_Nat_Onat), _u17041))) | ( _u17035 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7165, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17040), _u17042) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17040 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem458(_u17042, _u17040)), hAPP(c_List_Oset(tc_Nat_Onat), _u17042))) )).
% 12.29/12.55 cnf(matrix-7166, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17040), _u17042) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17040 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem458(_u17042, _u17040) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7167, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u17043, _u17044, _u17045) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17043, _u17044, _u17045), _u17046), hAPP(c_List_Oset(_u17043), _u17047)) = hAPP(c_List_Ofoldl(_u17044, _u17043, hAPP(c_COMBC(_u17043, _u17044, _u17044), _u17045), _u17046), _u17047)) )).
% 12.29/12.55 cnf(matrix-7168, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17048) | ( c_Complete__Lattice_OSup__class_OSup(_u17048, hAPP(c_List_Oset(_u17048), _u17049)) = hAPP(c_List_Ofoldl(_u17048, _u17048, c_Lattices_Osemilattice__sup__class_Osup(_u17048), c_Orderings_Obot__class_Obot(_u17048)), _u17049)) )).
% 12.29/12.55 cnf(matrix-7169, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17050) | ( c_Complete__Lattice_OInf__class_OInf(_u17050, hAPP(c_List_Oset(_u17050), _u17051)) = hAPP(c_List_Ofoldl(_u17050, _u17050, c_Lattices_Osemilattice__inf__class_Oinf(_u17050), c_Orderings_Otop__class_Otop(_u17050)), _u17051)) )).
% 12.29/12.55 cnf(matrix-7170, plain, ( ~class_Lattices_Olattice(_u17052) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17052, hAPP(c_List_Oset(_u17052), hAPP(hAPP(c_List_Olist_OCons(_u17052), _u17053), _u17054))) = hAPP(c_List_Ofoldl(_u17052, _u17052, c_Lattices_Osemilattice__sup__class_Osup(_u17052), _u17053), _u17054)) )).
% 12.29/12.55 cnf(matrix-7171, plain, ( ~class_Lattices_Olattice(_u17055) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17055, hAPP(c_List_Oset(_u17055), hAPP(hAPP(c_List_Olist_OCons(_u17055), _u17056), _u17057))) = hAPP(c_List_Ofoldl(_u17055, _u17055, c_Lattices_Osemilattice__inf__class_Oinf(_u17055), _u17056), _u17057)) )).
% 12.29/12.55 cnf(matrix-7172, plain, ( ~class_Orderings_Olinorder(_u17058) | ( c_Big__Operators_Olinorder__class_OMin(_u17058, hAPP(c_List_Oset(_u17058), hAPP(hAPP(c_List_Olist_OCons(_u17058), _u17059), _u17060))) = hAPP(c_List_Ofoldl(_u17058, _u17058, c_Orderings_Oord__class_Omin(_u17058), _u17059), _u17060)) )).
% 12.29/12.55 cnf(matrix-7173, plain, ( ~class_Orderings_Olinorder(_u17061) | ( c_Big__Operators_Olinorder__class_OMax(_u17061, hAPP(c_List_Oset(_u17061), hAPP(hAPP(c_List_Olist_OCons(_u17061), _u17062), _u17063))) = hAPP(c_List_Ofoldl(_u17061, _u17061, c_Orderings_Oord__class_Omax(_u17061), _u17062), _u17063)) )).
% 12.29/12.55 cnf(matrix-7174, plain, ( ~class_Orderings_Olinorder(_u17064) | ( c_Big__Operators_Olattice_OInf__fin(_u17064, c_Orderings_Oord__class_Omin(_u17064), hAPP(c_List_Oset(_u17064), hAPP(hAPP(c_List_Olist_OCons(_u17064), _u17065), _u17066))) = hAPP(c_List_Ofoldl(_u17064, _u17064, c_Orderings_Oord__class_Omin(_u17064), _u17065), _u17066)) )).
% 12.29/12.55 cnf(matrix-7175, plain, ( ~class_Orderings_Olinorder(_u17067) | ( c_Big__Operators_Olattice_OSup__fin(_u17067, c_Orderings_Oord__class_Omax(_u17067), hAPP(c_List_Oset(_u17067), hAPP(hAPP(c_List_Olist_OCons(_u17067), _u17068), _u17069))) = hAPP(c_List_Ofoldl(_u17067, _u17067, c_Orderings_Oord__class_Omax(_u17067), _u17068), _u17069)) )).
% 12.29/12.55 cnf(matrix-7176, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17070) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17071, _u17070), hAPP(c_List_Oset(_u17071), _u17072)), _u17073) = hAPP(c_List_Ofoldl(_u17070, _u17071, hAPP(c_COMBC(_u17071, _u17070, _u17070), hAPP(hAPP(c_COMBB(_u17070, tc_fun(_u17070, _u17070), _u17071), c_Lattices_Osemilattice__sup__class_Osup(_u17070)), _u17073)), c_Orderings_Obot__class_Obot(_u17070)), _u17072)) )).
% 12.29/12.55 cnf(matrix-7177, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17074) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17075, _u17074), hAPP(c_List_Oset(_u17075), _u17076)), _u17077) = hAPP(c_List_Ofoldl(_u17074, _u17075, hAPP(c_COMBC(_u17075, _u17074, _u17074), hAPP(hAPP(c_COMBB(_u17074, tc_fun(_u17074, _u17074), _u17075), c_Lattices_Osemilattice__inf__class_Oinf(_u17074)), _u17077)), c_Orderings_Otop__class_Otop(_u17074)), _u17076)) )).
% 12.29/12.55 cnf(matrix-7178, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17078), hAPP(c_List_Oset(tc_Nat_Onat), _u17079))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17078), 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)), _u17079))) )).
% 12.29/12.55 cnf(matrix-7179, plain, ( ~class_Orderings_Olinorder(_u17080) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17080), _u17081)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17080, hAPP(hAPP(c_Set_Oinsert(_u17080), _u17082), _u17081)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17080, _u17080, c_COMBI(_u17080)), _u17082), c_List_Olinorder__class_Osorted__list__of__set(_u17080, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17080, tc_HOL_Obool)), _u17081), hAPP(hAPP(c_Set_Oinsert(_u17080), _u17082), c_Orderings_Obot__class_Obot(tc_fun(_u17080, tc_HOL_Obool))))))) )).
% 12.29/12.55 cnf(matrix-7180, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17090), tc_List_Olist(_u17090))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17090), tc_List_Olist(_u17090)), c_List_Olist_ONil(_u17090)), _u17092)), c_List_Olexord(_u17090, _u17094))) | ( _u17092 = hAPP(hAPP(c_List_Olist_OCons(_u17090), skolem459(_u17094, _u17092, _u17090)), skolem460(_u17094, _u17092, _u17090))) )).
% 12.29/12.55 cnf(matrix-7181, plain, ( ( _u17093 != hAPP(hAPP(c_List_Olist_OCons(_u17091), _u17086), _u17085)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17091), tc_List_Olist(_u17091))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17091), tc_List_Olist(_u17091)), c_List_Olist_ONil(_u17091)), _u17093)), c_List_Olexord(_u17091, _u17095))) )).
% 12.29/12.55 cnf(matrix-7182, plain, ( ~class_Orderings_Olinorder(_u17096) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17097, _u17096, _u17098), _u17099), c_List_Olist_ONil(_u17097)) = hAPP(hAPP(c_List_Olist_OCons(_u17097), _u17099), c_List_Olist_ONil(_u17097))) )).
% 12.29/12.55 cnf(matrix-7183, plain, ( ~class_Orderings_Olinorder(_u17100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17100), hAPP(_u17101, _u17102)), hAPP(_u17101, _u17103))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17104, _u17100, _u17101), _u17102), hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), _u17105)) = hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17102), hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), _u17105))) )).
% 12.29/12.55 cnf(matrix-7184, plain, ( ~class_Orderings_Olinorder(_u17100) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17100), hAPP(_u17101, _u17102)), hAPP(_u17101, _u17103))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17104, _u17100, _u17101), _u17102), hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), _u17105)) = hAPP(hAPP(c_List_Olist_OCons(_u17104), _u17103), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17104, _u17100, _u17101), _u17102), _u17105))) )).
% 12.29/12.55 cnf(matrix-7185, plain, ( ~class_Orderings_Olinorder(_u17106) | ( c_List_Oremove1(_u17106, _u17107, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17106, _u17106, c_COMBI(_u17106)), _u17107), _u17108)) = _u17108) )).
% 12.29/12.55 cnf(matrix-7186, plain, ( ~class_Orderings_Olinorder(_u17109) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17110), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17111), _u17112)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17111), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17109, _u17109, c_COMBI(_u17109)), _u17110), _u17112))) )).
% 12.29/12.55 cnf(matrix-7187, plain, ( ~class_Orderings_Olinorder(_u17113) | ( hAPP(_u17114, _u17115) = hAPP(_u17114, _u17116)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17116), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17115), _u17118)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17115), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17117, _u17113, _u17114), _u17116), _u17118))) )).
% 12.29/12.55 cnf(matrix-7188, plain, ( ~class_Orderings_Olinorder(_u17119) | c_Finite__Set_Ofun__left__comm(_u17119, tc_List_Olist(_u17119), c_List_Olinorder__class_Oinsort__key(_u17119, _u17119, c_COMBI(_u17119))) )).
% 12.29/12.55 cnf(matrix-7189, plain, ( ~class_Orderings_Olinorder(_u17120) | ( hAPP(c_List_Oset(_u17121), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17121, _u17120, _u17122), _u17123), _u17124)) = hAPP(hAPP(c_Set_Oinsert(_u17121), _u17123), hAPP(c_List_Oset(_u17121), _u17124))) )).
% 12.29/12.55 cnf(matrix-7190, plain, ( ~class_Orderings_Olinorder(_u17125) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17126, _u17125, _u17127), _u17128), _u17129)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17129))) )).
% 12.29/12.55 cnf(matrix-7191, plain, ( ~class_Orderings_Olinorder(_u17130) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17131, _u17130, _u17132), _u17133), _u17134) != c_List_Olist_ONil(_u17131)) )).
% 12.29/12.55 cnf(matrix-7192, plain, ( ~class_Orderings_Olinorder(_u17135) | ~hBOOL(hAPP(c_List_Odistinct(_u17136), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17136, _u17135, _u17137), _u17138), _u17139))) | ~hBOOL(hAPP(hAPP(c_member(_u17136), _u17138), hAPP(c_List_Oset(_u17136), _u17139))) )).
% 12.29/12.55 cnf(matrix-7193, plain, ( ~class_Orderings_Olinorder(_u17135) | ~hBOOL(hAPP(c_List_Odistinct(_u17136), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17136, _u17135, _u17137), _u17138), _u17139))) | hBOOL(hAPP(c_List_Odistinct(_u17136), _u17139)) )).
% 12.29/12.55 cnf(matrix-7194, plain, ( ~class_Orderings_Olinorder(_u17135) | hBOOL(hAPP(hAPP(c_member(_u17136), _u17138), hAPP(c_List_Oset(_u17136), _u17139))) | ~hBOOL(hAPP(c_List_Odistinct(_u17136), _u17139)) | hBOOL(hAPP(c_List_Odistinct(_u17136), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17136, _u17135, _u17137), _u17138), _u17139))) )).
% 12.29/12.55 cnf(matrix-7195, plain, ( ~class_Orderings_Olinorder(_u17140) | hBOOL(hAPP(hAPP(c_member(_u17140), hAPP(_u17141, _u17142)), hAPP(c_Set_Oimage(_u17143, _u17140, _u17141), hAPP(c_List_Oset(_u17143), _u17144)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17143, _u17140, _u17141, _u17142, _u17144) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17143, _u17140, _u17141), _u17142), _u17144)) )).
% 12.29/12.55 cnf(matrix-7196, plain, ( ~class_Orderings_Olinorder(_u17145) | hBOOL(hAPP(hAPP(c_member(_u17145), _u17146), hAPP(c_List_Oset(_u17145), _u17147))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17145, _u17145, c_COMBI(_u17145), _u17146, _u17147) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17145, _u17145, c_COMBI(_u17145)), _u17146), _u17147)) )).
% 12.29/12.55 cnf(matrix-7197, plain, ( ~class_Orderings_Olinorder(_u17148) | ~hBOOL(hAPP(c_List_Odistinct(_u17149), _u17150)) | hBOOL(hAPP(c_List_Odistinct(_u17149), c_List_Olinorder__class_Oinsort__insert__key(_u17149, _u17148, _u17151, _u17152, _u17150))) )).
% 12.29/12.55 cnf(matrix-7198, plain, ( ~class_Orderings_Olinorder(_u17153) | ~hBOOL(hAPP(hAPP(c_member(_u17153), _u17154), hAPP(c_List_Oset(_u17153), _u17155))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17153, _u17153, c_COMBI(_u17153), _u17154, _u17155) = _u17155) )).
% 12.29/12.55 cnf(matrix-7199, plain, ( ~class_Orderings_Olinorder(_u17156) | ( hAPP(c_List_Oset(_u17156), c_List_Olinorder__class_Oinsort__insert__key(_u17156, _u17156, c_COMBI(_u17156), _u17157, _u17158)) = hAPP(hAPP(c_Set_Oinsert(_u17156), _u17157), hAPP(c_List_Oset(_u17156), _u17158))) )).
% 12.29/12.55 cnf(matrix-7200, plain, ( ~class_Orderings_Olinorder(_u17159) | ~hBOOL(hAPP(hAPP(c_member(_u17159), hAPP(_u17160, _u17161)), hAPP(c_Set_Oimage(_u17162, _u17159, _u17160), hAPP(c_List_Oset(_u17162), _u17163)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17162, _u17159, _u17160, _u17161, _u17163) = _u17163) )).
% 12.29/12.55 cnf(matrix-7201, plain, ( ( _u17164 = c_List_Olist_ONil(_u17165)) | ( _u17166 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17165)), _u17164)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17165, hAPP(hAPP(c_List_Olist__update(_u17165, _u17164), _u17166), _u17167)) = _u17167) )).
% 12.29/12.55 cnf(matrix-7202, plain, ( ( _u17164 = c_List_Olist_ONil(_u17165)) | ( _u17166 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17165)), _u17164)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17165, hAPP(hAPP(c_List_Olist__update(_u17165, _u17164), _u17166), _u17167)) = c_List_Olast(_u17165, _u17164)) )).
% 12.29/12.55 cnf(matrix-7203, plain, ( ( _u17168 = c_List_Olist_ONil(_u17169)) | ( c_List_Olast(_u17169, _u17168) = hAPP(hAPP(c_List_Onth(_u17169), _u17168), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17169)), _u17168)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-7204, plain, ( ( _u17170 != c_List_Olist_ONil(_u17171)) | ( c_List_Olast(_u17171, hAPP(hAPP(c_List_Oappend(_u17171), _u17172), _u17170)) = c_List_Olast(_u17171, _u17172)) )).
% 12.29/12.55 cnf(matrix-7205, plain, ( ( _u17173 = c_List_Olist_ONil(_u17174)) | ( c_List_Olast(_u17174, hAPP(hAPP(c_List_Oappend(_u17174), _u17175), _u17173)) = c_List_Olast(_u17174, _u17173)) )).
% 12.29/12.55 cnf(matrix-7206, plain, ( ( _u17179 != c_List_Olist_ONil(_u17181)) | ( c_List_Olast(_u17181, hAPP(hAPP(c_List_Oappend(_u17181), _u17183), _u17179)) = c_List_Olast(_u17181, _u17183)) )).
% 12.29/12.55 cnf(matrix-7207, plain, ( ( _u17180 = c_List_Olist_ONil(_u17182)) | ( c_List_Olast(_u17182, hAPP(hAPP(c_List_Oappend(_u17182), _u17184), _u17180)) = c_List_Olast(_u17182, _u17180)) )).
% 12.29/12.55 cnf(matrix-7208, plain, ( ( _u17185 != c_List_Olist_ONil(_u17186)) | ( c_List_Olast(_u17186, hAPP(hAPP(c_List_Olist_OCons(_u17186), _u17187), _u17185)) = _u17187) )).
% 12.29/12.55 cnf(matrix-7209, plain, ( ( _u17188 = c_List_Olist_ONil(_u17189)) | ( c_List_Olast(_u17189, hAPP(hAPP(c_List_Olist_OCons(_u17189), _u17190), _u17188)) = c_List_Olast(_u17189, _u17188)) )).
% 12.29/12.55 cnf(matrix-7210, plain, ( ( _u17194 != c_List_Olist_ONil(_u17196)) | ( c_List_Olast(_u17196, hAPP(hAPP(c_List_Olist_OCons(_u17196), _u17198), _u17194)) = _u17198) )).
% 12.29/12.55 cnf(matrix-7211, plain, ( ( _u17195 = c_List_Olist_ONil(_u17197)) | ( c_List_Olast(_u17197, hAPP(hAPP(c_List_Olist_OCons(_u17197), _u17199), _u17195)) = c_List_Olast(_u17197, _u17195)) )).
% 12.29/12.55 cnf(matrix-7212, plain, ( ( _u17200 = c_List_Olist_ONil(_u17201)) | hBOOL(hAPP(hAPP(c_member(_u17201), c_List_Olast(_u17201, _u17200)), hAPP(c_List_Oset(_u17201), _u17200))) )).
% 12.29/12.55 cnf(matrix-7213, plain, ( ( c_List_Olast(_u17202, hAPP(hAPP(c_List_Oappend(_u17202), _u17203), hAPP(hAPP(c_List_Olist_OCons(_u17202), _u17204), c_List_Olist_ONil(_u17202)))) = _u17204) )).
% 12.29/12.55 cnf(matrix-7214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17205), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17206)), _u17207))) | ( c_List_Olast(_u17206, hAPP(hAPP(c_List_Odrop(_u17206), _u17205), _u17207)) = c_List_Olast(_u17206, _u17207)) )).
% 12.29/12.55 cnf(matrix-7215, plain, ( ( _u17208 = c_List_Olist_ONil(_u17209)) | ( hAPP(hAPP(c_List_Oappend(_u17209), c_List_Obutlast(_u17209, _u17208)), hAPP(hAPP(c_List_Olist_OCons(_u17209), c_List_Olast(_u17209, _u17208)), c_List_Olist_ONil(_u17209))) = _u17208) )).
% 12.29/12.55 cnf(matrix-7216, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17214), _u17216), hAPP(hAPP(c_List_Olist_OCons(_u17214), _u17218), c_List_Olist_ONil(_u17214))) != _u17220) | ( _u17220 != c_List_Olist_ONil(_u17214)) )).
% 12.29/12.55 cnf(matrix-7217, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17214), _u17216), hAPP(hAPP(c_List_Olist_OCons(_u17214), _u17218), c_List_Olist_ONil(_u17214))) != _u17220) | ( c_List_Obutlast(_u17214, _u17220) = _u17216) )).
% 12.29/12.55 cnf(matrix-7218, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17214), _u17216), hAPP(hAPP(c_List_Olist_OCons(_u17214), _u17218), c_List_Olist_ONil(_u17214))) != _u17220) | ( c_List_Olast(_u17214, _u17220) = _u17218) )).
% 12.29/12.55 cnf(matrix-7219, plain, ( ( _u17221 = c_List_Olist_ONil(_u17215)) | ( c_List_Obutlast(_u17215, _u17221) != _u17217) | ( c_List_Olast(_u17215, _u17221) != _u17219) | ( hAPP(hAPP(c_List_Oappend(_u17215), _u17217), hAPP(hAPP(c_List_Olist_OCons(_u17215), _u17219), c_List_Olist_ONil(_u17215))) = _u17221) )).
% 12.29/12.55 cnf(matrix-7220, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), _u17231), c_List_Olists(_u17229, _u17233))) | ( _u17231 = c_List_Olist_ONil(_u17229)) | hBOOL(hAPP(hAPP(c_member(_u17229), skolem461(_u17233, _u17231, _u17229)), _u17233)) )).
% 12.29/12.55 cnf(matrix-7221, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), _u17231), c_List_Olists(_u17229, _u17233))) | ( _u17231 = c_List_Olist_ONil(_u17229)) | ( _u17231 = hAPP(hAPP(c_List_Olist_OCons(_u17229), skolem461(_u17233, _u17231, _u17229)), skolem462(_u17233, _u17231, _u17229))) )).
% 12.29/12.55 cnf(matrix-7222, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), _u17231), c_List_Olists(_u17229, _u17233))) | ( _u17231 = c_List_Olist_ONil(_u17229)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17229)), skolem462(_u17233, _u17231, _u17229)), c_List_Olists(_u17229, _u17233))) )).
% 12.29/12.55 cnf(matrix-7223, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17230)), _u17232), c_List_Olists(_u17230, _u17234))) | ( _u17232 != c_List_Olist_ONil(_u17230)) )).
% 12.29/12.55 cnf(matrix-7224, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17230)), _u17232), c_List_Olists(_u17230, _u17234))) | ~hBOOL(hAPP(hAPP(c_member(_u17230), _u17225), _u17234)) | ( _u17232 != hAPP(hAPP(c_List_Olist_OCons(_u17230), _u17225), _u17224)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17230)), _u17224), c_List_Olists(_u17230, _u17234))) )).
% 12.29/12.55 cnf(matrix-7225, plain, ( ( _u17235 = c_List_Olist_ONil(_u17236)) | ( c_Random_Oselect__weight(_u17236, hAPP(hAPP(c_List_Omap(_u17236, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17236)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17236), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17235)) = c_Random_Oselect(_u17236, _u17235)) )).
% 12.29/12.55 cnf(matrix-7226, plain, ( ~c_Fun_Oinj__on(_u17237, _u17238, _u17239, c_Orderings_Otop__class_Otop(tc_fun(_u17237, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17237), tc_List_Olist(_u17238), hAPP(c_List_Omap(_u17237, _u17238), _u17239), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17237), tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7227, plain, ( ( _u17240 = c_List_Olist_ONil(_u17241)) | ( c_List_Olast(_u17242, hAPP(hAPP(c_List_Omap(_u17241, _u17242), _u17243), _u17240)) = hAPP(_u17243, c_List_Olast(_u17241, _u17240))) )).
% 12.29/12.55 cnf(matrix-7228, plain, ( ~c_Fun_Oinj__on(_u17244, _u17245, _u17246, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17244, tc_HOL_Obool)), hAPP(c_List_Oset(_u17244), _u17247)), hAPP(c_List_Oset(_u17244), _u17248))) | ( hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17247) != hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17248)) | ( _u17247 = _u17248) )).
% 12.29/12.55 cnf(matrix-7229, plain, ( ~c_Fun_Oinj__on(_u17244, _u17245, _u17246, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17244, tc_HOL_Obool)), hAPP(c_List_Oset(_u17244), _u17247)), hAPP(c_List_Oset(_u17244), _u17248))) | ( _u17247 != _u17248) | ( hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17247) = hAPP(hAPP(c_List_Omap(_u17244, _u17245), _u17246), _u17248)) )).
% 12.29/12.55 cnf(matrix-7230, plain, ( ( hAPP(hAPP(c_List_Omap(_u17249, _u17250), _u17251), _u17252) != hAPP(hAPP(c_List_Omap(_u17249, _u17250), _u17251), _u17253)) | ~c_Fun_Oinj__on(_u17249, _u17250, _u17251, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17249, tc_HOL_Obool)), hAPP(c_List_Oset(_u17249), _u17252)), hAPP(c_List_Oset(_u17249), _u17253))) | ( _u17252 = _u17253) )).
% 12.29/12.55 cnf(matrix-7231, plain, ( ( hAPP(c_List_Ofoldl(_u17254, _u17255, _u17256, _u17257), hAPP(hAPP(c_List_Omap(_u17258, _u17255), _u17259), _u17260)) = hAPP(c_List_Ofoldl(_u17254, _u17258, hAPP(hAPP(c_COMBC(_u17254, tc_fun(_u17258, _u17255), tc_fun(_u17258, _u17254)), hAPP(hAPP(c_COMBB(tc_fun(_u17255, _u17254), tc_fun(tc_fun(_u17258, _u17255), tc_fun(_u17258, _u17254)), _u17254), c_COMBB(_u17255, _u17254, _u17258)), _u17256)), _u17259), _u17257), _u17260)) )).
% 12.29/12.55 cnf(matrix-7232, plain, ( ( hAPP(c_List_Orotate(_u17261, _u17262), hAPP(hAPP(c_List_Omap(_u17263, _u17261), _u17264), _u17265)) = hAPP(hAPP(c_List_Omap(_u17263, _u17261), _u17264), hAPP(c_List_Orotate(_u17263, _u17262), _u17265))) )).
% 12.29/12.55 cnf(matrix-7233, plain, ( ( hAPP(hAPP(c_List_Omap(_u17266, _u17267), _u17268), hAPP(c_List_Otl(_u17266), _u17269)) = hAPP(c_List_Otl(_u17267), hAPP(hAPP(c_List_Omap(_u17266, _u17267), _u17268), _u17269))) )).
% 12.29/12.55 cnf(matrix-7234, plain, ( ( hAPP(hAPP(c_List_Omap(_u17274, _u17276), _u17278), _u17280) != c_List_Olist_ONil(_u17276)) | ( _u17280 = c_List_Olist_ONil(_u17274)) )).
% 12.29/12.55 cnf(matrix-7235, plain, ( ( _u17281 != c_List_Olist_ONil(_u17275)) | ( hAPP(hAPP(c_List_Omap(_u17275, _u17277), _u17279), _u17281) = c_List_Olist_ONil(_u17277)) )).
% 12.29/12.55 cnf(matrix-7236, plain, ( ( hAPP(hAPP(c_List_Omap(_u17282, _u17283), _u17284), c_List_Olist_ONil(_u17282)) = c_List_Olist_ONil(_u17283)) )).
% 12.29/12.55 cnf(matrix-7237, plain, ( ( _u17295 = c_List_Olist_ONil(_u17291)) | ( c_List_Olist_ONil(_u17289) != hAPP(hAPP(c_List_Omap(_u17291, _u17289), _u17293), _u17295)) )).
% 12.29/12.55 cnf(matrix-7238, plain, ( ( _u17296 != c_List_Olist_ONil(_u17292)) | ( c_List_Olist_ONil(_u17290) = hAPP(hAPP(c_List_Omap(_u17292, _u17290), _u17294), _u17296)) )).
% 12.29/12.55 cnf(matrix-7239, plain, ( ( hAPP(hAPP(c_List_Omap(_u17297, _u17298), _u17299), hAPP(hAPP(c_List_Olist__update(_u17297, _u17300), _u17301), _u17302)) = hAPP(hAPP(c_List_Olist__update(_u17298, hAPP(hAPP(c_List_Omap(_u17297, _u17298), _u17299), _u17300)), _u17301), hAPP(_u17299, _u17302))) )).
% 12.29/12.55 cnf(matrix-7240, plain, ( ~class_Groups_Ocomm__monoid__add(_u17303) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17303), hAPP(hAPP(c_List_Omap(_u17304, _u17303), hAPP(hAPP(c_COMBS(_u17304, _u17303, _u17303), hAPP(hAPP(c_COMBB(_u17303, tc_fun(_u17303, _u17303), _u17304), c_Groups_Oplus__class_Oplus(_u17303)), _u17305)), _u17306)), _u17307)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17303), hAPP(c_List_Omonoid__add__class_Olistsum(_u17303), hAPP(hAPP(c_List_Omap(_u17304, _u17303), _u17305), _u17307))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17303), hAPP(hAPP(c_List_Omap(_u17304, _u17303), _u17306), _u17307)))) )).
% 12.29/12.55 cnf(matrix-7241, plain, ( ~class_Groups_Omonoid__add(_u17308) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17308), hAPP(hAPP(c_List_Omap(_u17309, _u17308), hAPP(c_COMBK(_u17308, _u17309), c_Groups_Ozero__class_Ozero(_u17308))), _u17310)) = c_Groups_Ozero__class_Ozero(_u17308)) )).
% 12.29/12.55 cnf(matrix-7242, plain, ( ~class_Rings_Osemiring__0(_u17311) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17311), hAPP(hAPP(c_List_Omap(_u17312, _u17311), hAPP(hAPP(c_COMBC(_u17312, _u17311, _u17311), hAPP(hAPP(c_COMBB(_u17311, tc_fun(_u17311, _u17311), _u17312), c_Groups_Otimes__class_Otimes(_u17311)), _u17313)), _u17314)), _u17315)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17311), hAPP(c_List_Omonoid__add__class_Olistsum(_u17311), hAPP(hAPP(c_List_Omap(_u17312, _u17311), _u17313), _u17315))), _u17314)) )).
% 12.29/12.55 cnf(matrix-7243, plain, ( ~class_Rings_Osemiring__0(_u17316) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17316), hAPP(hAPP(c_List_Omap(_u17317, _u17316), hAPP(hAPP(c_COMBB(_u17316, _u17316, _u17317), hAPP(c_Groups_Otimes__class_Otimes(_u17316), _u17318)), _u17319)), _u17320)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17316), _u17318), hAPP(c_List_Omonoid__add__class_Olistsum(_u17316), hAPP(hAPP(c_List_Omap(_u17317, _u17316), _u17319), _u17320)))) )).
% 12.29/12.55 cnf(matrix-7244, plain, ( ~class_Groups_Oab__group__add(_u17321) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17321), hAPP(hAPP(c_List_Omap(_u17322, _u17321), hAPP(hAPP(c_COMBS(_u17322, _u17321, _u17321), hAPP(hAPP(c_COMBB(_u17321, tc_fun(_u17321, _u17321), _u17322), c_Groups_Ominus__class_Ominus(_u17321)), _u17323)), _u17324)), _u17325)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17321), hAPP(c_List_Omonoid__add__class_Olistsum(_u17321), hAPP(hAPP(c_List_Omap(_u17322, _u17321), _u17323), _u17325))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17321), hAPP(hAPP(c_List_Omap(_u17322, _u17321), _u17324), _u17325)))) )).
% 12.29/12.55 cnf(matrix-7245, plain, ( ( hAPP(hAPP(c_List_Omap(_u17326, _u17327), _u17328), c_List_Obutlast(_u17326, _u17329)) = c_List_Obutlast(_u17327, hAPP(hAPP(c_List_Omap(_u17326, _u17327), _u17328), _u17329))) )).
% 12.29/12.55 cnf(matrix-7246, plain, ( ( hAPP(hAPP(c_List_Omap(_u17330, _u17331), _u17332), _u17333) != hAPP(hAPP(c_List_Omap(_u17334, _u17331), _u17335), _u17336)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17330)), _u17333) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17334)), _u17336)) )).
% 12.29/12.55 cnf(matrix-7247, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17337)), hAPP(hAPP(c_List_Omap(_u17338, _u17337), _u17339), _u17340)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17338)), _u17340)) )).
% 12.29/12.55 cnf(matrix-7248, plain, ( ( hAPP(hAPP(c_List_Omap(_u17348, _u17350), _u17352), _u17354) != hAPP(hAPP(c_List_Omap(_u17348, _u17350), _u17356), _u17354)) | ~hBOOL(hAPP(hAPP(c_member(_u17348), _u17341), hAPP(c_List_Oset(_u17348), _u17354))) | ( hAPP(_u17352, _u17341) = hAPP(_u17356, _u17341)) )).
% 12.29/12.55 cnf(matrix-7249, plain, ( ( hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17353), _u17355) = hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17357), _u17355)) | hBOOL(hAPP(hAPP(c_member(_u17349), skolem463(_u17357, _u17355, _u17353, _u17351, _u17349)), hAPP(c_List_Oset(_u17349), _u17355))) )).
% 12.29/12.55 cnf(matrix-7250, plain, ( ( hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17353), _u17355) = hAPP(hAPP(c_List_Omap(_u17349, _u17351), _u17357), _u17355)) | ( hAPP(_u17353, skolem463(_u17357, _u17355, _u17353, _u17351, _u17349)) != hAPP(_u17357, skolem463(_u17357, _u17355, _u17353, _u17351, _u17349))) )).
% 12.29/12.55 cnf(matrix-7251, plain, ( ( hAPP(hAPP(c_List_Otake(_u17358), _u17359), hAPP(hAPP(c_List_Omap(_u17360, _u17358), _u17361), _u17362)) = hAPP(hAPP(c_List_Omap(_u17360, _u17358), _u17361), hAPP(hAPP(c_List_Otake(_u17360), _u17359), _u17362))) )).
% 12.29/12.55 cnf(matrix-7252, plain, ( ( hAPP(hAPP(c_List_Omap(_u17363, _u17364), _u17365), _u17366) != hAPP(hAPP(c_List_Omap(_u17363, _u17364), _u17365), _u17367)) | ~c_Fun_Oinj__on(_u17363, _u17364, _u17365, c_Orderings_Otop__class_Otop(tc_fun(_u17363, tc_HOL_Obool))) | ( _u17366 = _u17367) )).
% 12.29/12.55 cnf(matrix-7253, plain, ( ~c_Fun_Oinj__on(_u17368, _u17369, _u17370, c_Orderings_Otop__class_Otop(tc_fun(_u17368, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17371) != hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17372)) | ( _u17371 = _u17372) )).
% 12.29/12.55 cnf(matrix-7254, plain, ( ~c_Fun_Oinj__on(_u17368, _u17369, _u17370, c_Orderings_Otop__class_Otop(tc_fun(_u17368, tc_HOL_Obool))) | ( _u17371 != _u17372) | ( hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17371) = hAPP(hAPP(c_List_Omap(_u17368, _u17369), _u17370), _u17372)) )).
% 12.29/12.55 cnf(matrix-7255, plain, ( ( hAPP(hAPP(c_List_Omap(_u17373, _u17373), c_COMBI(_u17373)), _u17374) = _u17374) )).
% 12.29/12.55 cnf(matrix-7256, plain, ( ( hAPP(c_List_Oset(_u17375), hAPP(hAPP(c_List_Omap(_u17376, _u17375), _u17377), _u17378)) = hAPP(c_Set_Oimage(_u17376, _u17375, _u17377), hAPP(c_List_Oset(_u17376), _u17378))) )).
% 12.29/12.55 cnf(matrix-7257, plain, ( ( hAPP(hAPP(c_List_Omap(_u17379, _u17380), _u17381), hAPP(hAPP(c_List_Olist_OCons(_u17379), _u17382), _u17383)) = hAPP(hAPP(c_List_Olist_OCons(_u17380), hAPP(_u17381, _u17382)), hAPP(hAPP(c_List_Omap(_u17379, _u17380), _u17381), _u17383))) )).
% 12.29/12.55 cnf(matrix-7258, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17384, _u17384), _u17385), _u17385) = hAPP(hAPP(c_List_Omap(_u17384, tc_prod(_u17384, _u17384)), hAPP(hAPP(c_COMBS(_u17384, _u17384, tc_prod(_u17384, _u17384)), c_Product__Type_OPair(_u17384, _u17384)), c_COMBI(_u17384))), _u17385)) )).
% 12.29/12.55 cnf(matrix-7259, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17386, _u17387), hAPP(hAPP(c_List_Omap(_u17388, _u17386), _u17389), _u17390)), hAPP(hAPP(c_List_Omap(_u17391, _u17387), _u17392), _u17393)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17388, _u17391), tc_prod(_u17386, _u17387)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17388, _u17391, tc_prod(_u17386, _u17387)), hAPP(hAPP(c_COMBC(_u17388, tc_fun(_u17391, _u17387), tc_fun(_u17391, tc_prod(_u17386, _u17387))), hAPP(hAPP(c_COMBB(tc_fun(_u17387, tc_prod(_u17386, _u17387)), tc_fun(tc_fun(_u17391, _u17387), tc_fun(_u17391, tc_prod(_u17386, _u17387))), _u17388), c_COMBB(_u17387, tc_prod(_u17386, _u17387), _u17391)), hAPP(hAPP(c_COMBB(_u17386, tc_fun(_u17387, tc_prod(_u17386, _u17387)), _u17388), c_Product__Type_OPair(_u17386, _u17387)), _u17389))), _u17392))), hAPP(hAPP(c_List_Ozip(_u17388, _u17391), _u17390), _u17393))) )).
% 12.29/12.55 cnf(matrix-7260, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17394, _u17395), hAPP(hAPP(c_List_Omap(_u17396, _u17394), _u17397), _u17398)), _u17399) = hAPP(hAPP(c_List_Omap(tc_prod(_u17396, _u17395), tc_prod(_u17394, _u17395)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17396, _u17395, tc_prod(_u17394, _u17395)), hAPP(hAPP(c_COMBB(_u17394, tc_fun(_u17395, tc_prod(_u17394, _u17395)), _u17396), c_Product__Type_OPair(_u17394, _u17395)), _u17397))), hAPP(hAPP(c_List_Ozip(_u17396, _u17395), _u17398), _u17399))) )).
% 12.29/12.55 cnf(matrix-7261, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17400, _u17401), _u17402), _u17403), hAPP(hAPP(c_List_Ozip(_u17400, _u17401), hAPP(hAPP(c_List_Omap(_u17404, _u17400), _u17405), _u17406)), _u17407)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17404, _u17401), _u17402), hAPP(c_Product__Type_Oprod_Oprod__case(_u17404, _u17401, _u17402), hAPP(hAPP(c_COMBB(tc_fun(_u17401, tc_prod(_u17400, _u17401)), tc_fun(_u17401, _u17402), _u17404), hAPP(c_COMBB(tc_prod(_u17400, _u17401), _u17402, _u17401), _u17403)), hAPP(hAPP(c_COMBB(_u17400, tc_fun(_u17401, tc_prod(_u17400, _u17401)), _u17404), c_Product__Type_OPair(_u17400, _u17401)), _u17405)))), hAPP(hAPP(c_List_Ozip(_u17404, _u17401), _u17406), _u17407))) )).
% 12.29/12.55 cnf(matrix-7262, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17408, _u17409), _u17410), _u17411), hAPP(hAPP(c_List_Ozip(_u17408, _u17409), _u17412), hAPP(hAPP(c_List_Omap(_u17413, _u17409), _u17414), _u17415))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17408, _u17413), _u17410), hAPP(c_Product__Type_Oprod_Oprod__case(_u17408, _u17413, _u17410), hAPP(hAPP(c_COMBB(tc_fun(_u17413, tc_prod(_u17408, _u17409)), tc_fun(_u17413, _u17410), _u17408), hAPP(c_COMBB(tc_prod(_u17408, _u17409), _u17410, _u17413), _u17411)), hAPP(hAPP(c_COMBC(_u17408, tc_fun(_u17413, _u17409), tc_fun(_u17413, tc_prod(_u17408, _u17409))), hAPP(hAPP(c_COMBB(tc_fun(_u17409, tc_prod(_u17408, _u17409)), tc_fun(tc_fun(_u17413, _u17409), tc_fun(_u17413, tc_prod(_u17408, _u17409))), _u17408), c_COMBB(_u17409, tc_prod(_u17408, _u17409), _u17413)), c_Product__Type_OPair(_u17408, _u17409))), _u17414)))), hAPP(hAPP(c_List_Ozip(_u17408, _u17413), _u17412), _u17415))) )).
% 12.29/12.55 cnf(matrix-7263, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17416, _u17417), _u17418), hAPP(hAPP(c_List_Omap(_u17419, _u17417), _u17420), _u17421)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17416, _u17419), tc_prod(_u17416, _u17417)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17416, _u17419, tc_prod(_u17416, _u17417)), hAPP(hAPP(c_COMBC(_u17416, tc_fun(_u17419, _u17417), tc_fun(_u17419, tc_prod(_u17416, _u17417))), hAPP(hAPP(c_COMBB(tc_fun(_u17417, tc_prod(_u17416, _u17417)), tc_fun(tc_fun(_u17419, _u17417), tc_fun(_u17419, tc_prod(_u17416, _u17417))), _u17416), c_COMBB(_u17417, tc_prod(_u17416, _u17417), _u17419)), c_Product__Type_OPair(_u17416, _u17417))), _u17420))), hAPP(hAPP(c_List_Ozip(_u17416, _u17419), _u17418), _u17421))) )).
% 12.29/12.55 cnf(matrix-7264, plain, ( ( hAPP(hAPP(c_List_Omap(_u17422, _u17423), _u17424), hAPP(hAPP(c_List_Oappend(_u17422), _u17425), _u17426)) = hAPP(hAPP(c_List_Oappend(_u17423), hAPP(hAPP(c_List_Omap(_u17422, _u17423), _u17424), _u17425)), hAPP(hAPP(c_List_Omap(_u17422, _u17423), _u17424), _u17426))) )).
% 12.29/12.55 cnf(matrix-7265, plain, ( ( _u17427 = c_List_Olist_ONil(_u17428)) | ( hAPP(c_List_Ohd(_u17429), hAPP(hAPP(c_List_Omap(_u17428, _u17429), _u17430), _u17427)) = hAPP(_u17430, hAPP(c_List_Ohd(_u17428), _u17427))) )).
% 12.29/12.55 cnf(matrix-7266, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17431), _u17432), hAPP(hAPP(c_List_Omap(_u17433, _u17431), _u17434), _u17435)) = hAPP(hAPP(c_List_Omap(_u17433, _u17431), _u17434), hAPP(hAPP(c_List_Odrop(_u17433), _u17432), _u17435))) )).
% 12.29/12.55 cnf(matrix-7267, plain, ( ( c_List_Olist_Olist__size(_u17436, _u17437, hAPP(hAPP(c_List_Omap(_u17438, _u17436), _u17439), _u17440)) = c_List_Olist_Olist__size(_u17438, hAPP(c_Fun_Ocomp(_u17436, tc_Nat_Onat, _u17438, _u17437), _u17439), _u17440)) )).
% 12.29/12.55 cnf(matrix-7268, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17441), tc_List_Olist(_u17442), tc_List_Olist(_u17443), hAPP(c_List_Omap(_u17441, _u17442), _u17444)), hAPP(c_List_Omap(_u17443, _u17441), _u17445)) = hAPP(c_List_Omap(_u17443, _u17442), hAPP(c_Fun_Ocomp(_u17441, _u17442, _u17443, _u17444), _u17445))) )).
% 12.29/12.55 cnf(matrix-7269, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17446), tc_List_Olist(_u17447), tc_List_Olist(_u17448), hAPP(c_List_Omap(_u17446, _u17447), _u17449)), hAPP(c_List_Omap(_u17448, _u17446), _u17450)) = hAPP(c_List_Omap(_u17448, _u17447), hAPP(c_Fun_Ocomp(_u17446, _u17447, _u17448, _u17449), _u17450))) )).
% 12.29/12.55 cnf(matrix-7270, plain, ( ( hAPP(hAPP(c_List_Omap(_u17451, _u17452), _u17453), hAPP(hAPP(c_List_Omap(_u17454, _u17451), _u17455), _u17456)) = hAPP(hAPP(c_List_Omap(_u17454, _u17452), hAPP(c_Fun_Ocomp(_u17451, _u17452, _u17454, _u17453), _u17455)), _u17456)) )).
% 12.29/12.55 cnf(matrix-7271, plain, ( ( hAPP(hAPP(c_List_Omap(_u17457, _u17458), _u17459), hAPP(hAPP(c_List_Omap(_u17460, _u17457), _u17461), _u17462)) = hAPP(hAPP(c_List_Omap(_u17460, _u17458), hAPP(c_Fun_Ocomp(_u17457, _u17458, _u17460, _u17459), _u17461)), _u17462)) )).
% 12.29/12.55 cnf(matrix-7272, plain, ( ( hAPP(c_List_Omap(_u17463, _u17463), c_COMBI(_u17463)) = c_Fun_Oid(tc_List_Olist(_u17463))) )).
% 12.29/12.55 cnf(matrix-7273, plain, ( ( hAPP(c_List_Omap(_u17464, _u17464), c_Fun_Oid(_u17464)) = c_Fun_Oid(tc_List_Olist(_u17464))) )).
% 12.29/12.55 cnf(matrix-7274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17465), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17466)), _u17467))) | ( hAPP(hAPP(c_List_Onth(_u17468), hAPP(hAPP(c_List_Omap(_u17466, _u17468), _u17469), _u17467)), _u17465) = hAPP(_u17469, hAPP(hAPP(c_List_Onth(_u17466), _u17467), _u17465))) )).
% 12.29/12.55 cnf(matrix-7275, plain, ( hBOOL(hAPP(hAPP(c_member(_u17470), _u17471), hAPP(c_List_Oset(_u17470), _u17472))) | ( hAPP(hAPP(c_List_Omap(_u17470, _u17473), c_Fun_Ofun__upd(_u17470, _u17473, _u17474, _u17471, _u17475)), _u17472) = hAPP(hAPP(c_List_Omap(_u17470, _u17473), _u17474), _u17472)) )).
% 12.29/12.55 cnf(matrix-7276, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17480), hAPP(hAPP(c_List_Omap(_u17482, _u17480), _u17484), _u17486))) | hBOOL(hAPP(c_List_Odistinct(_u17482), _u17486)) )).
% 12.29/12.55 cnf(matrix-7277, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17480), hAPP(hAPP(c_List_Omap(_u17482, _u17480), _u17484), _u17486))) | c_Fun_Oinj__on(_u17482, _u17480, _u17484, hAPP(c_List_Oset(_u17482), _u17486)) )).
% 12.29/12.55 cnf(matrix-7278, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17483), _u17487)) | ~c_Fun_Oinj__on(_u17483, _u17481, _u17485, hAPP(c_List_Oset(_u17483), _u17487)) | hBOOL(hAPP(c_List_Odistinct(_u17481), hAPP(hAPP(c_List_Omap(_u17483, _u17481), _u17485), _u17487))) )).
% 12.29/12.55 cnf(matrix-7279, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u17488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17488), hAPP(c_Groups_Oabs__class_Oabs(_u17488), hAPP(c_List_Omonoid__add__class_Olistsum(_u17488), _u17489))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17488), hAPP(hAPP(c_List_Omap(_u17488, _u17488), c_Groups_Oabs__class_Oabs(_u17488)), _u17489)))) )).
% 12.29/12.55 cnf(matrix-7280, plain, ( ~class_Groups_Oab__group__add(_u17490) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17490), hAPP(c_List_Omonoid__add__class_Olistsum(_u17490), hAPP(hAPP(c_List_Omap(_u17491, _u17490), _u17492), _u17493))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17490), hAPP(hAPP(c_List_Omap(_u17491, _u17490), hAPP(c_Fun_Ocomp(_u17490, _u17490, _u17491, c_Groups_Ouminus__class_Ouminus(_u17490)), _u17492)), _u17493))) )).
% 12.29/12.55 cnf(matrix-7281, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17497), tc_List_Olist(_u17499), hAPP(c_List_Omap(_u17497, _u17499), _u17501), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17497), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17497, _u17499, _u17501, c_Orderings_Otop__class_Otop(tc_fun(_u17497, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7282, plain, ( ~c_Fun_Oinj__on(_u17498, _u17500, _u17502, c_Orderings_Otop__class_Otop(tc_fun(_u17498, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17498), tc_List_Olist(_u17500), hAPP(c_List_Omap(_u17498, _u17500), _u17502), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17498), tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7283, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17503), tc_List_Olist(_u17504), hAPP(c_List_Omap(_u17503, _u17504), _u17505), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17503), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17503, _u17504, _u17505, c_Orderings_Otop__class_Otop(tc_fun(_u17503, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7284, plain, ( ~class_Groups_Ocomm__monoid__add(_u17506) | ~hBOOL(hAPP(c_List_Odistinct(_u17507), _u17508)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17506), hAPP(hAPP(c_List_Omap(_u17507, _u17506), _u17509), _u17508)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17507, _u17506), _u17509), hAPP(c_List_Oset(_u17507), _u17508))) )).
% 12.29/12.55 cnf(matrix-7285, plain, ( ~class_Rings_Osemiring__1(_u17510) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17510), hAPP(hAPP(c_List_Omap(_u17511, _u17510), hAPP(c_COMBK(_u17510, _u17511), _u17512)), _u17513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17510), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17510), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17511)), _u17513))), _u17512)) )).
% 12.29/12.55 cnf(matrix-7286, plain, ( ( c_Enum_Oproduct(_u17514, _u17515, hAPP(hAPP(c_List_Olist_OCons(_u17514), _u17516), _u17517), _u17518) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17514, _u17515)), hAPP(hAPP(c_List_Omap(_u17515, tc_prod(_u17514, _u17515)), hAPP(c_Product__Type_OPair(_u17514, _u17515), _u17516)), _u17518)), c_Enum_Oproduct(_u17514, _u17515, _u17517, _u17518))) )).
% 12.29/12.55 cnf(matrix-7287, plain, ( ~class_Groups_Ocomm__monoid__add(_u17519) | ~hBOOL(hAPP(hAPP(c_member(_u17520), _u17521), hAPP(c_List_Oset(_u17520), _u17522))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17519), hAPP(hAPP(c_List_Omap(_u17520, _u17519), _u17523), _u17522)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17519), hAPP(_u17523, _u17521)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17519), hAPP(hAPP(c_List_Omap(_u17520, _u17519), _u17523), c_List_Oremove1(_u17520, _u17521, _u17522))))) )).
% 12.29/12.55 cnf(matrix-7288, plain, ( ~c_Fun_Oinj__on(_u17524, _u17525, _u17526, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17524, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17524), tc_fun(_u17524, tc_HOL_Obool), c_List_Oset(_u17524)), _u17527))) | c_Fun_Oinj__on(tc_List_Olist(_u17524), tc_List_Olist(_u17525), hAPP(c_List_Omap(_u17524, _u17525), _u17526), _u17527) )).
% 12.29/12.55 cnf(matrix-7289, plain, ( ~class_Groups_Ocomm__monoid__add(_u17528) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17529), _u17530)) | ( c_Nitpick_Osetsum_H(_u17529, _u17528, _u17531, _u17530) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17528), hAPP(hAPP(c_List_Omap(_u17529, _u17528), _u17531), c_Hilbert__Choice_OEps(tc_List_Olist(_u17529), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17529), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17529)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17529), tc_fun(_u17529, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17529, tc_HOL_Obool), tc_fun(tc_fun(_u17529, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17529)), c_fequal), c_List_Oset(_u17529))), _u17530))), c_List_Odistinct(_u17529)))))) )).
% 12.29/12.55 cnf(matrix-7290, plain, ( ~class_Groups_Ocomm__monoid__add(_u17528) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17529), _u17530)) | ( c_Nitpick_Osetsum_H(_u17529, _u17528, _u17531, _u17530) = c_Groups_Ozero__class_Ozero(_u17528)) )).
% 12.29/12.55 cnf(matrix-7291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17532), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17533)), _u17534))) | ( hAPP(c_Random_Opick(_u17533, hAPP(hAPP(c_List_Omap(_u17533, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17533)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17533), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17534)), hAPP(c_Code__Numeral_Oof__nat, _u17532)) = hAPP(hAPP(c_List_Onth(_u17533), _u17534), _u17532)) )).
% 12.29/12.55 cnf(matrix-7292, plain, ( ( c_Enum_Osublists(_u17535, hAPP(hAPP(c_List_Olist_OCons(_u17535), _u17536), _u17537)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535))), c_Enum_Osublists(_u17535, _u17537)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17535)), tc_fun(tc_List_Olist(tc_List_Olist(_u17535)), tc_List_Olist(tc_List_Olist(_u17535))), tc_List_Olist(tc_List_Olist(_u17535))), c_List_Oappend(tc_List_Olist(_u17535))), hAPP(c_List_Omap(tc_List_Olist(_u17535), tc_List_Olist(_u17535)), hAPP(c_List_Olist_OCons(_u17535), _u17536)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17535)))))) )).
% 12.29/12.55 cnf(matrix-7293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17540)), hAPP(c_Code__Numeral_Oof__nat, _u17542))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17540), _u17542)) )).
% 12.29/12.55 cnf(matrix-7294, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17541), _u17543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17541)), hAPP(c_Code__Numeral_Oof__nat, _u17543))) )).
% 12.29/12.55 cnf(matrix-7295, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7296, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17546) != hAPP(c_Code__Numeral_Oof__nat, _u17548)) | ( _u17546 = _u17548) )).
% 12.29/12.55 cnf(matrix-7297, plain, ( ( _u17547 != _u17549) | ( hAPP(c_Code__Numeral_Oof__nat, _u17547) = hAPP(c_Code__Numeral_Oof__nat, _u17549)) )).
% 12.29/12.55 cnf(matrix-7298, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.55 cnf(matrix-7299, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17550)), hAPP(c_Code__Numeral_Oof__nat, _u17551)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17550), _u17551))) )).
% 12.29/12.55 cnf(matrix-7300, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17552), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17553), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17552) != hAPP(c_Code__Numeral_Oof__nat, _u17553)) | ( _u17552 = _u17553) )).
% 12.29/12.55 cnf(matrix-7302, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17552), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17553), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17552 != _u17553) | ( hAPP(c_Code__Numeral_Oof__nat, _u17552) = hAPP(c_Code__Numeral_Oof__nat, _u17553)) )).
% 12.29/12.55 cnf(matrix-7303, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17554)), _u17555) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17556)), _u17557)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17554, _u17556), _u17554), c_Product__Type_Ofst(_u17554, _u17556)), hAPP(hAPP(c_List_Ozip(_u17554, _u17556), _u17555), _u17557)) = _u17555) )).
% 12.29/12.55 cnf(matrix-7304, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17558)), _u17559) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17560)), _u17561)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17558, _u17560), _u17560), c_Product__Type_Osnd(_u17558, _u17560)), hAPP(hAPP(c_List_Ozip(_u17558, _u17560), _u17559), _u17561)) = _u17561) )).
% 12.29/12.55 cnf(matrix-7305, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 12.29/12.55 cnf(matrix-7306, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17562, _u17563), hAPP(hAPP(c_List_Omap(tc_prod(_u17562, _u17563), _u17562), c_Product__Type_Ofst(_u17562, _u17563)), _u17564)), hAPP(hAPP(c_List_Omap(tc_prod(_u17562, _u17563), _u17563), c_Product__Type_Osnd(_u17562, _u17563)), _u17564)) = _u17564) )).
% 12.29/12.55 cnf(matrix-7307, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17565)), hAPP(c_Code__Numeral_Oof__nat, _u17566)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17565), _u17566))) )).
% 12.29/12.55 cnf(matrix-7308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17569)), hAPP(c_Code__Numeral_Oof__nat, _u17571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17569), _u17571)) )).
% 12.29/12.55 cnf(matrix-7309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17570), _u17572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17570)), hAPP(c_Code__Numeral_Oof__nat, _u17572))) )).
% 12.29/12.55 cnf(matrix-7310, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17573), _u17574)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17573, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17573), tc_fun(_u17573, tc_HOL_Obool)), c_List_Oset(_u17573)), c_Enum_Osublists(_u17573, _u17574)))) )).
% 12.29/12.55 cnf(matrix-7311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17575), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17576), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17576)), _u17577)))) | hBOOL(hAPP(hAPP(c_member(_u17576), hAPP(c_Random_Opick(_u17576, _u17577), _u17575)), hAPP(c_List_Oset(_u17576), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17576), _u17576), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17576)), _u17577)))) )).
% 12.29/12.55 cnf(matrix-7312, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17581)) | ( hAPP(hAPP(c_List_Ozip(_u17578, _u17580), _u17579), _u17581) != _u17582) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17578), c_Product__Type_Ofst(_u17578, _u17580)), _u17582) = _u17579) )).
% 12.29/12.55 cnf(matrix-7313, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17581)) | ( hAPP(hAPP(c_List_Ozip(_u17578, _u17580), _u17579), _u17581) != _u17582) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17580), c_Product__Type_Osnd(_u17578, _u17580)), _u17582) = _u17581) )).
% 12.29/12.55 cnf(matrix-7314, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17578)), _u17579) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17580)), _u17581)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17578), c_Product__Type_Ofst(_u17578, _u17580)), _u17582) != _u17579) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17578, _u17580), _u17580), c_Product__Type_Osnd(_u17578, _u17580)), _u17582) != _u17581) | ( hAPP(hAPP(c_List_Ozip(_u17578, _u17580), _u17579), _u17581) = _u17582) )).
% 12.29/12.55 cnf(matrix-7315, plain, ( ( c_List_Olist_Olist__size(_u17583, _u17584, _u17585) = 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(_u17583, tc_Nat_Onat), _u17584), _u17585))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17583)), _u17585))) )).
% 12.29/12.55 cnf(matrix-7316, plain, ( ( _u17587 = 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)), _u17587)) )).
% 12.29/12.55 cnf(matrix-7317, 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)), _u17588)) | ( _u17588 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7318, plain, ( ~class_Groups_Ocomm__monoid__add(_u17589) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17589), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17589), _u17590), c_List_Oupto(_u17591, _u17592))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17589), _u17590), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17591, _u17592)))) )).
% 12.29/12.55 cnf(matrix-7319, plain, ( ~class_Groups_Ocomm__monoid__add(_u17593) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17593), _u17594), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17595, _u17596))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17593), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17593), _u17594), c_List_Oupto(_u17595, _u17596)))) )).
% 12.29/12.55 cnf(matrix-7320, 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, _u17597), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17597)), _u17598)))) | hBOOL(hAPP(hAPP(c_member(_u17597), hAPP(c_Product__Type_Ofst(_u17597, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17597, _u17598), _u17599))), hAPP(c_List_Oset(_u17597), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17597), _u17597), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17597)), _u17598)))) )).
% 12.29/12.55 cnf(matrix-7321, plain, ( ( c_Random_Oselect__weight(_u17600, _u17601) = 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(_u17600, 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, _u17600), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17600)), _u17601)))), hAPP(hAPP(c_COMBB(_u17600, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17600, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17600, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17600, _u17601)))) )).
% 12.29/12.55 cnf(matrix-7322, plain, ( ( c_Random_Oselect(_u17602, _u17603) = 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(_u17602, 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(_u17602)), _u17603)))), hAPP(hAPP(c_COMBB(_u17602, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17602, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17602, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17602, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17602), _u17603)), c_Code__Numeral_Onat__of)))) )).
% 12.29/12.55 cnf(matrix-7323, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17604)), hAPP(c_Code__Numeral_Oof__nat, _u17605)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17604), _u17605))) )).
% 12.29/12.55 cnf(matrix-7324, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17606)) = _u17606) )).
% 12.29/12.55 cnf(matrix-7325, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17607)) = _u17607) )).
% 12.29/12.55 cnf(matrix-7326, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17608)) = _u17608) )).
% 12.29/12.55 cnf(matrix-7327, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17609), _u17610) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17609)), hAPP(c_Code__Numeral_Onat__of, _u17610)))) )).
% 12.29/12.55 cnf(matrix-7328, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17613) != hAPP(c_Code__Numeral_Onat__of, _u17615)) | ( _u17613 = _u17615) )).
% 12.29/12.55 cnf(matrix-7329, plain, ( ( _u17614 != _u17616) | ( hAPP(c_Code__Numeral_Onat__of, _u17614) = hAPP(c_Code__Numeral_Onat__of, _u17616)) )).
% 12.29/12.55 cnf(matrix-7330, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17619) != hAPP(c_Code__Numeral_Onat__of, _u17621)) | ( _u17619 = _u17621) )).
% 12.29/12.55 cnf(matrix-7331, plain, ( ( _u17620 != _u17622) | ( hAPP(c_Code__Numeral_Onat__of, _u17620) = hAPP(c_Code__Numeral_Onat__of, _u17622)) )).
% 12.29/12.55 cnf(matrix-7332, plain, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17625), _u17627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17625)), hAPP(c_Code__Numeral_Onat__of, _u17627))) )).
% 12.29/12.55 cnf(matrix-7334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17626)), hAPP(c_Code__Numeral_Onat__of, _u17628))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17626), _u17628)) )).
% 12.29/12.55 cnf(matrix-7335, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17629)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-7336, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17630)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17630)) )).
% 12.29/12.55 cnf(matrix-7337, plain, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 12.29/12.55 cnf(matrix-7338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17633), _u17635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17633)), hAPP(c_Code__Numeral_Onat__of, _u17635))) )).
% 12.29/12.55 cnf(matrix-7339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17634)), hAPP(c_Code__Numeral_Onat__of, _u17636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17634), _u17636)) )).
% 12.29/12.55 cnf(matrix-7340, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17637) = c_Code__Numeral_Onat__of__aux(_u17637, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7341, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17638, _u17639) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17638)), _u17639)) )).
% 12.29/12.55 cnf(matrix-7342, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17640) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17640)))) )).
% 12.29/12.55 cnf(matrix-7343, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17641), _u17642) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17641)), hAPP(c_Code__Numeral_Onat__of, _u17642)))) )).
% 12.29/12.55 cnf(matrix-7344, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17643), 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, _u17643)) = _u17643) )).
% 12.29/12.55 cnf(matrix-7345, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17644), _u17645) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17644)), hAPP(c_Code__Numeral_Onat__of, _u17645)))) )).
% 12.29/12.55 cnf(matrix-7346, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17646), _u17647) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17646)), hAPP(c_Code__Numeral_Onat__of, _u17647)))) )).
% 12.29/12.55 cnf(matrix-7347, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.55 cnf(matrix-7348, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17648), _u17649) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17648), _u17649)) )).
% 12.29/12.55 cnf(matrix-7349, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17650, _u17651) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17650), hAPP(c_Code__Numeral_Onat__of, _u17651)))) )).
% 12.29/12.55 cnf(matrix-7350, plain, ( ( _u17652 = 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, _u17652)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17652))) )).
% 12.29/12.55 cnf(matrix-7351, plain, ( ~class_Groups_Omonoid__add(_u17654) | ~class_Groups_Oordered__ab__semigroup__add(_u17654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17654), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17657), _u17656))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17658), _u17656)))) | hBOOL(hAPP(hAPP(c_member(_u17655), skolem464(_u17658, _u17657, _u17656, _u17655, _u17654)), hAPP(c_List_Oset(_u17655), _u17656))) )).
% 12.29/12.55 cnf(matrix-7352, plain, ( ~class_Groups_Omonoid__add(_u17654) | ~class_Groups_Oordered__ab__semigroup__add(_u17654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17654), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17657), _u17656))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17654), hAPP(hAPP(c_List_Omap(_u17655, _u17654), _u17658), _u17656)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17654), hAPP(_u17657, skolem464(_u17658, _u17657, _u17656, _u17655, _u17654))), hAPP(_u17658, skolem464(_u17658, _u17657, _u17656, _u17655, _u17654)))) )).
% 12.29/12.55 cnf(matrix-7353, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17659), _u17660) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17659, 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)))), _u17660)))) )).
% 12.29/12.55 cnf(matrix-7354, plain, ( ( c_List_Opartition(_u17661, _u17662, _u17663) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17661), tc_List_Olist(_u17661)), _u17664), _u17665)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17661, tc_HOL_Obool)), hAPP(c_List_Oset(_u17661), _u17664)), hAPP(c_List_Oset(_u17661), _u17665)) = hAPP(c_List_Oset(_u17661), _u17663)) )).
% 12.29/12.55 cnf(matrix-7355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17666)), _u17667), c_List_Olists(_u17666, _u17668))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17666)), _u17667), c_List_Olists(_u17666, _u17669))) | hBOOL(hAPP(c_List_Olistsp(_u17666, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17666, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17666, tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17666)), _u17668)), hAPP(hAPP(c_COMBC(_u17666, tc_fun(_u17666, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17666)), _u17669))), _u17667)) )).
% 12.29/12.55 cnf(matrix-7356, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17670, _u17671), c_List_Olist_ONil(_u17670))) )).
% 12.29/12.55 cnf(matrix-7357, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17672, _u17673), c_List_Olist_ONil(_u17672))) )).
% 12.29/12.55 cnf(matrix-7358, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17679, _u17681), _u17683)) | ~hBOOL(hAPP(hAPP(c_member(_u17679), _u17674), hAPP(c_List_Oset(_u17679), _u17683))) | hBOOL(hAPP(_u17681, _u17674)) )).
% 12.29/12.55 cnf(matrix-7359, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17680, _u17682), _u17684)) | hBOOL(hAPP(hAPP(c_member(_u17680), skolem465(_u17684, _u17682, _u17680)), hAPP(c_List_Oset(_u17680), _u17684))) )).
% 12.29/12.55 cnf(matrix-7360, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17680, _u17682), _u17684)) | ~hBOOL(hAPP(_u17682, skolem465(_u17684, _u17682, _u17680))) )).
% 12.29/12.55 cnf(matrix-7361, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17685, _u17686), _u17687)) | ~hBOOL(hAPP(c_List_Olistsp(_u17685, _u17688), _u17687)) | hBOOL(hAPP(c_List_Olistsp(_u17685, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17685, tc_HOL_Obool)), _u17686), _u17688)), _u17687)) )).
% 12.29/12.55 cnf(matrix-7362, plain, ( ( c_List_Olistsp(_u17689, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17689, tc_HOL_Obool)), _u17690), _u17691)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17689), tc_HOL_Obool)), c_List_Olistsp(_u17689, _u17690)), c_List_Olistsp(_u17689, _u17691))) )).
% 12.29/12.55 cnf(matrix-7363, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17696, hAPP(hAPP(c_COMBS(_u17696, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17696), c_fconj), _u17698)), _u17700)), _u17702)) | hBOOL(hAPP(c_List_Olistsp(_u17696, _u17698), _u17702)) )).
% 12.29/12.55 cnf(matrix-7364, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17696, hAPP(hAPP(c_COMBS(_u17696, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17696), c_fconj), _u17698)), _u17700)), _u17702)) | hBOOL(hAPP(c_List_Olistsp(_u17696, _u17700), _u17702)) )).
% 12.29/12.55 cnf(matrix-7365, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17697, _u17699), _u17703)) | ~hBOOL(hAPP(c_List_Olistsp(_u17697, _u17701), _u17703)) | hBOOL(hAPP(c_List_Olistsp(_u17697, hAPP(hAPP(c_COMBS(_u17697, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17697), c_fconj), _u17699)), _u17701)), _u17703)) )).
% 12.29/12.55 cnf(matrix-7366, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17708, _u17710), hAPP(hAPP(c_List_Olist_OCons(_u17708), _u17712), _u17714))) | hBOOL(hAPP(_u17710, _u17712)) )).
% 12.29/12.55 cnf(matrix-7367, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17708, _u17710), hAPP(hAPP(c_List_Olist_OCons(_u17708), _u17712), _u17714))) | hBOOL(hAPP(c_List_Olistsp(_u17708, _u17710), _u17714)) )).
% 12.29/12.55 cnf(matrix-7368, plain, ( ~hBOOL(hAPP(_u17711, _u17713)) | ~hBOOL(hAPP(c_List_Olistsp(_u17709, _u17711), _u17715)) | hBOOL(hAPP(c_List_Olistsp(_u17709, _u17711), hAPP(hAPP(c_List_Olist_OCons(_u17709), _u17713), _u17715))) )).
% 12.29/12.55 cnf(matrix-7369, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), hAPP(hAPP(c_List_Oappend(_u17720), _u17724), _u17726))) | hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), _u17724)) )).
% 12.29/12.55 cnf(matrix-7370, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), hAPP(hAPP(c_List_Oappend(_u17720), _u17724), _u17726))) | hBOOL(hAPP(c_List_Olistsp(_u17720, _u17722), _u17726)) )).
% 12.29/12.55 cnf(matrix-7371, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17721, _u17723), _u17725)) | ~hBOOL(hAPP(c_List_Olistsp(_u17721, _u17723), _u17727)) | hBOOL(hAPP(c_List_Olistsp(_u17721, _u17723), hAPP(hAPP(c_List_Oappend(_u17721), _u17725), _u17727))) )).
% 12.29/12.55 cnf(matrix-7372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17728, tc_HOL_Obool)), _u17729), _u17730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17728), tc_HOL_Obool)), c_List_Olistsp(_u17728, _u17729)), c_List_Olistsp(_u17728, _u17730))) )).
% 12.29/12.55 cnf(matrix-7373, plain, ( ( c_List_Opartition(_u17733, _u17734, _u17735) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17733), tc_List_Olist(_u17733)), _u17736), _u17737)) | ~hBOOL(hAPP(hAPP(c_member(_u17733), _u17731), hAPP(c_List_Oset(_u17733), _u17736))) | hBOOL(hAPP(_u17734, _u17731)) )).
% 12.29/12.55 cnf(matrix-7374, plain, ( ( c_List_Opartition(_u17733, _u17734, _u17735) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17733), tc_List_Olist(_u17733)), _u17736), _u17737)) | ~hBOOL(hAPP(hAPP(c_member(_u17733), _u17732), hAPP(c_List_Oset(_u17733), _u17737))) | ~hBOOL(hAPP(_u17734, _u17732)) )).
% 12.29/12.55 cnf(matrix-7375, plain, ( ( c_List_Opartition(_u17738, _u17739, c_List_Olist_ONil(_u17738)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17738), tc_List_Olist(_u17738)), c_List_Olist_ONil(_u17738)), c_List_Olist_ONil(_u17738))) )).
% 12.29/12.55 cnf(matrix-7376, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17743, hAPP(hAPP(c_COMBC(_u17743, tc_fun(_u17743, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17743)), _u17745)), _u17747)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17743)), _u17747), c_List_Olists(_u17743, _u17745))) )).
% 12.29/12.55 cnf(matrix-7377, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17744)), _u17748), c_List_Olists(_u17744, _u17746))) | hBOOL(hAPP(c_List_Olistsp(_u17744, hAPP(hAPP(c_COMBC(_u17744, tc_fun(_u17744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17744)), _u17746)), _u17748)) )).
% 12.29/12.55 cnf(matrix-7378, plain, ( ( c_List_Opartition(_u17749, _u17750, hAPP(hAPP(c_List_Olist_OCons(_u17749), _u17751), _u17752)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17749), tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17749), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17749), tc_fun(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_fun(tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_List_Olist(_u17749)), c_COMBS(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_List_Olist(_u17749), tc_fun(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_List_Olist(_u17749)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_fun(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_List_Olist(_u17749)), hAPP(c_If(tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), hAPP(_u17750, _u17751)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17749), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_List_Olist(_u17749)), c_Product__Type_OPair(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), hAPP(c_List_Olist_OCons(_u17749), _u17751))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17749), tc_fun(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749))), tc_fun(tc_fun(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_fun(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), tc_List_Olist(_u17749)), c_COMBB(tc_List_Olist(_u17749), tc_prod(tc_List_Olist(_u17749), tc_List_Olist(_u17749)), tc_List_Olist(_u17749))), c_Product__Type_OPair(tc_List_Olist(_u17749), tc_List_Olist(_u17749)))), hAPP(c_List_Olist_OCons(_u17749), _u17751)))), c_List_Opartition(_u17749, _u17750, _u17752))) )).
% 12.29/12.55 cnf(matrix-7379, plain, ( ( c_List_Olistsp(_u17753, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17753, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17753, tc_fun(_u17753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17753)), _u17754)), hAPP(hAPP(c_COMBC(_u17753, tc_fun(_u17753, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17753)), _u17755))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17753), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17753), tc_fun(tc_List_Olist(_u17753), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17753))), c_List_Olists(_u17753, _u17754))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17753), tc_fun(tc_List_Olist(_u17753), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17753))), c_List_Olists(_u17753, _u17755)))) )).
% 12.29/12.55 cnf(matrix-7380, plain, ( ~c_List_Olist__all2(_u17763, _u17765, _u17767, _u17769, _u17771) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17763)), _u17769) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17765)), _u17771)) )).
% 12.29/12.55 cnf(matrix-7381, plain, ( ~c_List_Olist__all2(_u17763, _u17765, _u17767, _u17769, _u17771) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17763, _u17765)), _u17756), hAPP(c_List_Oset(tc_prod(_u17763, _u17765)), hAPP(hAPP(c_List_Ozip(_u17763, _u17765), _u17769), _u17771)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17763, _u17765, tc_HOL_Obool), _u17767), _u17756)) )).
% 12.29/12.55 cnf(matrix-7382, plain, ( c_List_Olist__all2(_u17764, _u17766, _u17768, _u17770, _u17772) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), _u17770) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17766)), _u17772)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17764, _u17766)), skolem466(_u17772, _u17770, _u17768, _u17766, _u17764)), hAPP(c_List_Oset(tc_prod(_u17764, _u17766)), hAPP(hAPP(c_List_Ozip(_u17764, _u17766), _u17770), _u17772)))) )).
% 12.29/12.55 cnf(matrix-7383, plain, ( c_List_Olist__all2(_u17764, _u17766, _u17768, _u17770, _u17772) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17764)), _u17770) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17766)), _u17772)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17764, _u17766, tc_HOL_Obool), _u17768), skolem466(_u17772, _u17770, _u17768, _u17766, _u17764))) )).
% 12.29/12.55 cnf(matrix-7384, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17774), _u17777), hAPP(c_List_Oset(_u17774), _u17775))) | hBOOL(hAPP(_u17776, _u17777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem467(_u17777, _u17776, _u17775, _u17774)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17774)), _u17775))) )).
% 12.29/12.55 cnf(matrix-7385, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17774), _u17777), hAPP(c_List_Oset(_u17774), _u17775))) | hBOOL(hAPP(_u17776, _u17777)) | ~hBOOL(hAPP(_u17776, hAPP(hAPP(c_List_Onth(_u17774), _u17775), skolem467(_u17777, _u17776, _u17775, _u17774)))) )).
% 12.29/12.55 cnf(matrix-7386, plain, ( ~c_List_Olist__all2(_u17785, _u17787, _u17789, hAPP(hAPP(c_List_Omap(_u17791, _u17785), _u17793), _u17795), _u17797) | c_List_Olist__all2(_u17791, _u17787, hAPP(hAPP(c_COMBB(_u17785, tc_fun(_u17787, tc_HOL_Obool), _u17791), _u17789), _u17793), _u17795, _u17797) )).
% 12.29/12.55 cnf(matrix-7387, plain, ( ~c_List_Olist__all2(_u17792, _u17788, hAPP(hAPP(c_COMBB(_u17786, tc_fun(_u17788, tc_HOL_Obool), _u17792), _u17790), _u17794), _u17796, _u17798) | c_List_Olist__all2(_u17786, _u17788, _u17790, hAPP(hAPP(c_List_Omap(_u17792, _u17786), _u17794), _u17796), _u17798) )).
% 12.29/12.55 cnf(matrix-7388, plain, ( ~c_List_Olist__all2(_u17806, _u17808, _u17810, _u17812, hAPP(hAPP(c_List_Omap(_u17814, _u17808), _u17816), _u17818)) | c_List_Olist__all2(_u17806, _u17814, hAPP(hAPP(c_COMBC(_u17806, tc_fun(_u17814, _u17808), tc_fun(_u17814, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17808, tc_HOL_Obool), tc_fun(tc_fun(_u17814, _u17808), tc_fun(_u17814, tc_HOL_Obool)), _u17806), c_COMBB(_u17808, tc_HOL_Obool, _u17814)), _u17810)), _u17816), _u17812, _u17818) )).
% 12.29/12.55 cnf(matrix-7389, plain, ( ~c_List_Olist__all2(_u17807, _u17815, hAPP(hAPP(c_COMBC(_u17807, tc_fun(_u17815, _u17809), tc_fun(_u17815, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17809, tc_HOL_Obool), tc_fun(tc_fun(_u17815, _u17809), tc_fun(_u17815, tc_HOL_Obool)), _u17807), c_COMBB(_u17809, tc_HOL_Obool, _u17815)), _u17811)), _u17817), _u17813, _u17819) | c_List_Olist__all2(_u17807, _u17809, _u17811, _u17813, hAPP(hAPP(c_List_Omap(_u17815, _u17809), _u17817), _u17819)) )).
% 12.29/12.55 cnf(matrix-7390, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), _u17821) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), _u17823)) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, hAPP(hAPP(c_List_Oappend(_u17820), _u17821), _u17825), hAPP(hAPP(c_List_Oappend(_u17822), _u17823), _u17826)) | c_List_Olist__all2(_u17820, _u17822, _u17824, _u17821, _u17823) )).
% 12.29/12.55 cnf(matrix-7391, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), _u17821) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), _u17823)) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, hAPP(hAPP(c_List_Oappend(_u17820), _u17821), _u17825), hAPP(hAPP(c_List_Oappend(_u17822), _u17823), _u17826)) | c_List_Olist__all2(_u17820, _u17822, _u17824, _u17825, _u17826) )).
% 12.29/12.55 cnf(matrix-7392, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17820)), _u17821) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17822)), _u17823)) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, _u17821, _u17823) | ~c_List_Olist__all2(_u17820, _u17822, _u17824, _u17825, _u17826) | c_List_Olist__all2(_u17820, _u17822, _u17824, hAPP(hAPP(c_List_Oappend(_u17820), _u17821), _u17825), hAPP(hAPP(c_List_Oappend(_u17822), _u17823), _u17826)) )).
% 12.29/12.55 cnf(matrix-7393, plain, ( ~c_List_Olist__all2(_u17827, _u17828, _u17829, _u17830, _u17831) | ~c_List_Olist__all2(_u17827, _u17828, _u17829, _u17832, _u17833) | c_List_Olist__all2(_u17827, _u17828, _u17829, hAPP(hAPP(c_List_Oappend(_u17827), _u17830), _u17832), hAPP(hAPP(c_List_Oappend(_u17828), _u17831), _u17833)) )).
% 12.29/12.55 cnf(matrix-7394, plain, ( ~c_List_Olist__all2(_u17834, _u17835, _u17836, _u17837, _u17838) | c_List_Olist__all2(_u17834, _u17835, _u17836, hAPP(hAPP(c_List_Odrop(_u17834), _u17839), _u17837), hAPP(hAPP(c_List_Odrop(_u17835), _u17839), _u17838)) )).
% 12.29/12.55 cnf(matrix-7395, plain, ( ~c_List_Olist__all2(_u17847, _u17849, _u17851, hAPP(hAPP(c_List_Olist_OCons(_u17847), _u17853), _u17855), hAPP(hAPP(c_List_Olist_OCons(_u17849), _u17857), _u17859)) | hBOOL(hAPP(hAPP(_u17851, _u17853), _u17857)) )).
% 12.29/12.55 cnf(matrix-7396, plain, ( ~c_List_Olist__all2(_u17847, _u17849, _u17851, hAPP(hAPP(c_List_Olist_OCons(_u17847), _u17853), _u17855), hAPP(hAPP(c_List_Olist_OCons(_u17849), _u17857), _u17859)) | c_List_Olist__all2(_u17847, _u17849, _u17851, _u17855, _u17859) )).
% 12.29/12.55 cnf(matrix-7397, plain, ( ~hBOOL(hAPP(hAPP(_u17852, _u17854), _u17858)) | ~c_List_Olist__all2(_u17848, _u17850, _u17852, _u17856, _u17860) | c_List_Olist__all2(_u17848, _u17850, _u17852, hAPP(hAPP(c_List_Olist_OCons(_u17848), _u17854), _u17856), hAPP(hAPP(c_List_Olist_OCons(_u17850), _u17858), _u17860)) )).
% 12.29/12.55 cnf(matrix-7398, plain, ( ( _u17864 != _u17866) | c_List_Olist__all2(_u17868, _u17868, c_fequal, _u17864, _u17866) )).
% 12.29/12.55 cnf(matrix-7399, plain, ( ~c_List_Olist__all2(_u17869, _u17869, c_fequal, _u17865, _u17867) | ( _u17865 = _u17867) )).
% 12.29/12.55 cnf(matrix-7400, plain, ( ~c_List_Olist__all2(_u17870, _u17871, _u17872, _u17873, _u17874) | c_List_Olist__all2(_u17870, _u17871, _u17872, hAPP(hAPP(c_List_Otake(_u17870), _u17875), _u17873), hAPP(hAPP(c_List_Otake(_u17871), _u17875), _u17874)) )).
% 12.29/12.55 cnf(matrix-7401, plain, ( ~c_List_Olist__all2(_u17876, _u17877, _u17878, _u17879, _u17880) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17876)), _u17879) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17877)), _u17880)) )).
% 12.29/12.55 cnf(matrix-7402, plain, ( ( _u17891 = c_List_Olist_ONil(_u17887)) | ~c_List_Olist__all2(_u17885, _u17887, _u17889, c_List_Olist_ONil(_u17885), _u17891) )).
% 12.29/12.55 cnf(matrix-7403, plain, ( ( _u17892 != c_List_Olist_ONil(_u17888)) | c_List_Olist__all2(_u17886, _u17888, _u17890, c_List_Olist_ONil(_u17886), _u17892) )).
% 12.29/12.55 cnf(matrix-7404, plain, ( ~c_List_Olist__all2(_u17897, _u17899, _u17901, _u17903, c_List_Olist_ONil(_u17899)) | ( _u17903 = c_List_Olist_ONil(_u17897)) )).
% 12.29/12.55 cnf(matrix-7405, plain, ( ( _u17904 != c_List_Olist_ONil(_u17898)) | c_List_Olist__all2(_u17898, _u17900, _u17902, _u17904, c_List_Olist_ONil(_u17900)) )).
% 12.29/12.55 cnf(matrix-7406, plain, ( ~c_List_Olist__all2(_u17905, _u17906, _u17907, _u17908, _u17909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17910), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17906)), _u17909))) | hBOOL(hAPP(hAPP(_u17907, hAPP(hAPP(c_List_Onth(_u17905), _u17908), _u17910)), hAPP(hAPP(c_List_Onth(_u17906), _u17909), _u17910))) )).
% 12.29/12.55 cnf(matrix-7407, plain, ( ~c_List_Olist__all2(_u17911, _u17912, _u17913, _u17914, _u17915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17916), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17911)), _u17914))) | hBOOL(hAPP(hAPP(_u17913, hAPP(hAPP(c_List_Onth(_u17911), _u17914), _u17916)), hAPP(hAPP(c_List_Onth(_u17912), _u17915), _u17916))) )).
% 12.29/12.55 cnf(matrix-7408, plain, ( ~c_List_Olist__all2(_u17924, _u17926, _u17928, _u17930, _u17932) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17924)), _u17930) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17926)), _u17932)) )).
% 12.29/12.55 cnf(matrix-7409, plain, ( ~c_List_Olist__all2(_u17924, _u17926, _u17928, _u17930, _u17932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17917), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17924)), _u17930))) | hBOOL(hAPP(hAPP(_u17928, hAPP(hAPP(c_List_Onth(_u17924), _u17930), _u17917)), hAPP(hAPP(c_List_Onth(_u17926), _u17932), _u17917))) )).
% 12.29/12.55 cnf(matrix-7410, plain, ( c_List_Olist__all2(_u17925, _u17927, _u17929, _u17931, _u17933) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17925)), _u17931) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17927)), _u17933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem468(_u17933, _u17931, _u17929, _u17927, _u17925)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17925)), _u17931))) )).
% 12.29/12.55 cnf(matrix-7411, plain, ( c_List_Olist__all2(_u17925, _u17927, _u17929, _u17931, _u17933) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17925)), _u17931) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17927)), _u17933)) | ~hBOOL(hAPP(hAPP(_u17929, hAPP(hAPP(c_List_Onth(_u17925), _u17931), skolem468(_u17933, _u17931, _u17929, _u17927, _u17925))), hAPP(hAPP(c_List_Onth(_u17927), _u17933), skolem468(_u17933, _u17931, _u17929, _u17927, _u17925)))) )).
% 12.29/12.55 cnf(matrix-7412, plain, ( ~c_List_Olist__all2(_u17934, _u17935, _u17936, _u17937, _u17938) | ~hBOOL(hAPP(hAPP(_u17936, _u17939), _u17940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17941), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17935)), _u17938))) | c_List_Olist__all2(_u17934, _u17935, _u17936, hAPP(hAPP(c_List_Olist__update(_u17934, _u17937), _u17941), _u17939), hAPP(hAPP(c_List_Olist__update(_u17935, _u17938), _u17941), _u17940)) )).
% 12.29/12.55 cnf(matrix-7413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17942), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17943)), _u17944))) | ~c_List_Olist__all2(_u17943, _u17945, _u17946, _u17944, _u17947) | ~hBOOL(hAPP(hAPP(_u17946, _u17948), _u17949)) | c_List_Olist__all2(_u17943, _u17945, _u17946, hAPP(hAPP(c_List_Olist__update(_u17943, _u17944), _u17942), _u17948), hAPP(hAPP(c_List_Olist__update(_u17945, _u17947), _u17942), _u17949)) )).
% 12.29/12.55 cnf(matrix-7414, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17951)), _u17953) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17952)), _u17954)) | c_List_Olist__all2(_u17951, _u17952, _u17955, _u17953, _u17954) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17951, _u17952)), skolem469(_u17955, _u17954, _u17953, _u17952, _u17951)), hAPP(c_List_Oset(tc_prod(_u17951, _u17952)), hAPP(hAPP(c_List_Ozip(_u17951, _u17952), _u17953), _u17954)))) )).
% 12.29/12.55 cnf(matrix-7415, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17951)), _u17953) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17952)), _u17954)) | c_List_Olist__all2(_u17951, _u17952, _u17955, _u17953, _u17954) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17951, _u17952, tc_HOL_Obool), _u17955), skolem469(_u17955, _u17954, _u17953, _u17952, _u17951))) )).
% 12.29/12.55 cnf(matrix-7416, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17956, _u17957, _u17958) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17956, _u17957, _u17958), _u17959), hAPP(c_List_Oset(_u17956), _u17960)) = hAPP(c_List_Ofoldl(_u17957, _u17956, hAPP(c_COMBC(_u17956, _u17957, _u17957), _u17958), _u17959), c_List_Oremdups(_u17956, _u17960))) )).
% 12.29/12.55 cnf(matrix-7417, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17961), c_List_Oremdups(_u17961, _u17962))) )).
% 12.29/12.55 cnf(matrix-7418, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17963)), c_List_Oremdups(_u17963, _u17964))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17963)), _u17964))) )).
% 12.29/12.55 cnf(matrix-7419, plain, ( ( c_List_Oremdups(_u17967, _u17969) != c_List_Olist_ONil(_u17967)) | ( _u17969 = c_List_Olist_ONil(_u17967)) )).
% 12.29/12.55 cnf(matrix-7420, plain, ( ( _u17970 != c_List_Olist_ONil(_u17968)) | ( c_List_Oremdups(_u17968, _u17970) = c_List_Olist_ONil(_u17968)) )).
% 12.29/12.55 cnf(matrix-7421, plain, ( ( c_List_Olist_ONil(_u17973) != c_List_Oremdups(_u17973, _u17975)) | ( _u17975 = c_List_Olist_ONil(_u17973)) )).
% 12.29/12.55 cnf(matrix-7422, plain, ( ( _u17976 != c_List_Olist_ONil(_u17974)) | ( c_List_Olist_ONil(_u17974) = c_List_Oremdups(_u17974, _u17976)) )).
% 12.29/12.55 cnf(matrix-7423, plain, ( ( c_List_Oremdups(_u17977, c_List_Olist_ONil(_u17977)) = c_List_Olist_ONil(_u17977)) )).
% 12.29/12.55 cnf(matrix-7424, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17980)), c_List_Oremdups(_u17980, _u17982)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17980)), _u17982)) | ( c_List_Oremdups(_u17980, _u17982) = _u17982) )).
% 12.29/12.55 cnf(matrix-7425, plain, ( ( c_List_Oremdups(_u17981, _u17983) != _u17983) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17981)), c_List_Oremdups(_u17981, _u17983)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17981)), _u17983)) )).
% 12.29/12.55 cnf(matrix-7426, plain, ( ( hAPP(c_List_Oset(_u17984), c_List_Oremdups(_u17984, _u17985)) = hAPP(c_List_Oset(_u17984), _u17985)) )).
% 12.29/12.55 cnf(matrix-7427, plain, ( ( c_List_Oremdups(_u17986, c_List_Oremdups(_u17986, _u17987)) = c_List_Oremdups(_u17986, _u17987)) )).
% 12.29/12.55 cnf(matrix-7428, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17988), _u17989)) | ( c_List_Oremdups(_u17988, _u17989) = _u17989) )).
% 12.29/12.55 cnf(matrix-7429, plain, ( ( c_List_Oremdups(_u17992, _u17994) != _u17994) | hBOOL(hAPP(c_List_Odistinct(_u17992), _u17994)) )).
% 12.29/12.55 cnf(matrix-7430, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17993), _u17995)) | ( c_List_Oremdups(_u17993, _u17995) = _u17995) )).
% 12.29/12.55 cnf(matrix-7431, plain, ( ( c_List_Oremdups(_u17996, hAPP(hAPP(c_List_Omap(_u17997, _u17996), _u17998), c_List_Oremdups(_u17997, _u17999))) = c_List_Oremdups(_u17996, hAPP(hAPP(c_List_Omap(_u17997, _u17996), _u17998), _u17999))) )).
% 12.29/12.55 cnf(matrix-7432, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18000), _u18001)) | ( c_List_Oremove1(_u18000, _u18002, c_List_Oremdups(_u18000, _u18001)) = c_List_Oremdups(_u18000, c_List_Oremove1(_u18000, _u18002, _u18001))) )).
% 12.29/12.55 cnf(matrix-7433, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18006), _u18008), hAPP(c_List_Oset(_u18006), _u18010))) | ( c_List_Oremdups(_u18006, hAPP(hAPP(c_List_Olist_OCons(_u18006), _u18008), _u18010)) = c_List_Oremdups(_u18006, _u18010)) )).
% 12.29/12.55 cnf(matrix-7434, plain, ( hBOOL(hAPP(hAPP(c_member(_u18007), _u18009), hAPP(c_List_Oset(_u18007), _u18011))) | ( c_List_Oremdups(_u18007, hAPP(hAPP(c_List_Olist_OCons(_u18007), _u18009), _u18011)) = hAPP(hAPP(c_List_Olist_OCons(_u18007), _u18009), c_List_Oremdups(_u18007, _u18011))) )).
% 12.29/12.55 cnf(matrix-7435, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18012)), c_List_Oremdups(_u18012, _u18013)) = hAPP(c_Finite__Set_Ocard(_u18012), hAPP(c_List_Oset(_u18012), _u18013))) )).
% 12.29/12.55 cnf(matrix-7436, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18014)), c_List_Oremdups(_u18014, c_List_Oconcat(_u18014, _u18015))) = hAPP(c_Finite__Set_Ocard(_u18014), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18014), tc_fun(_u18014, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18014)), _u18015)), c_List_Oset(_u18014)))) )).
% 12.29/12.55 cnf(matrix-7437, plain, ( ~class_Orderings_Olinorder(_u18016) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18016, hAPP(c_List_Oset(_u18016), _u18017)) = c_List_Olinorder__class_Osort__key(_u18016, _u18016, c_COMBI(_u18016), c_List_Oremdups(_u18016, _u18017))) )).
% 12.29/12.55 cnf(matrix-7438, plain, ( ( c_List_Oconcat(_u18018, c_List_Olist_ONil(tc_List_Olist(_u18018))) = c_List_Olist_ONil(_u18018)) )).
% 12.29/12.55 cnf(matrix-7439, plain, ( ( c_List_Oconcat(_u18019, _u18020) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18019), tc_List_Olist(_u18019), c_List_Oappend(_u18019), c_List_Olist_ONil(_u18019)), _u18020)) )).
% 12.29/12.55 cnf(matrix-7440, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u18021), tc_List_Olist(_u18021), c_List_Oappend(_u18021), _u18022), _u18023) = hAPP(hAPP(c_List_Oappend(_u18021), _u18022), c_List_Oconcat(_u18021, _u18023))) )).
% 12.29/12.55 cnf(matrix-7441, plain, ( ~class_Orderings_Olinorder(_u18024) | ~hBOOL(hAPP(c_List_Odistinct(_u18025), c_List_Olinorder__class_Osort__key(_u18025, _u18024, _u18026, _u18027))) | hBOOL(hAPP(c_List_Odistinct(_u18025), _u18027)) )).
% 12.29/12.55 cnf(matrix-7442, plain, ( ~class_Orderings_Olinorder(_u18024) | ~hBOOL(hAPP(c_List_Odistinct(_u18025), _u18027)) | hBOOL(hAPP(c_List_Odistinct(_u18025), c_List_Olinorder__class_Osort__key(_u18025, _u18024, _u18026, _u18027))) )).
% 12.29/12.55 cnf(matrix-7443, plain, ( ~class_Orderings_Olinorder(_u18028) | ( hAPP(c_List_Oset(_u18029), c_List_Olinorder__class_Osort__key(_u18029, _u18028, _u18030, _u18031)) = hAPP(c_List_Oset(_u18029), _u18031)) )).
% 12.29/12.55 cnf(matrix-7444, plain, ( ~class_Orderings_Olinorder(_u18032) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), c_List_Olinorder__class_Osort__key(_u18033, _u18032, _u18034, _u18035)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18033)), _u18035)) )).
% 12.29/12.55 cnf(matrix-7445, plain, ( ~class_Orderings_Olinorder(_u18036) | ( c_List_Olinorder__class_Osort__key(_u18037, _u18036, _u18038, c_List_Olist_ONil(_u18037)) = c_List_Olist_ONil(_u18037)) )).
% 12.29/12.55 cnf(matrix-7446, plain, ( ( c_List_Oconcat(_u18039, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18039)), _u18040), _u18041)) = hAPP(hAPP(c_List_Oappend(_u18039), _u18040), c_List_Oconcat(_u18039, _u18041))) )).
% 12.29/12.55 cnf(matrix-7447, plain, ( ( c_List_Oconcat(_u18046, _u18048) != c_List_Olist_ONil(_u18046)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18046)), _u18042), hAPP(c_List_Oset(tc_List_Olist(_u18046)), _u18048))) | ( _u18042 = c_List_Olist_ONil(_u18046)) )).
% 12.29/12.55 cnf(matrix-7448, plain, ( ( c_List_Oconcat(_u18047, _u18049) = c_List_Olist_ONil(_u18047)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18047)), skolem470(_u18049, _u18047)), hAPP(c_List_Oset(tc_List_Olist(_u18047)), _u18049))) )).
% 12.29/12.55 cnf(matrix-7449, plain, ( ( c_List_Oconcat(_u18047, _u18049) = c_List_Olist_ONil(_u18047)) | ( skolem470(_u18049, _u18047) != c_List_Olist_ONil(_u18047)) )).
% 12.29/12.55 cnf(matrix-7450, plain, ( ( c_List_Olist_ONil(_u18054) != c_List_Oconcat(_u18054, _u18056)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18054)), _u18050), hAPP(c_List_Oset(tc_List_Olist(_u18054)), _u18056))) | ( _u18050 = c_List_Olist_ONil(_u18054)) )).
% 12.29/12.55 cnf(matrix-7451, plain, ( ( c_List_Olist_ONil(_u18055) = c_List_Oconcat(_u18055, _u18057)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18055)), skolem471(_u18057, _u18055)), hAPP(c_List_Oset(tc_List_Olist(_u18055)), _u18057))) )).
% 12.29/12.55 cnf(matrix-7452, plain, ( ( c_List_Olist_ONil(_u18055) = c_List_Oconcat(_u18055, _u18057)) | ( skolem471(_u18057, _u18055) != c_List_Olist_ONil(_u18055)) )).
% 12.29/12.55 cnf(matrix-7453, plain, ( ( hAPP(hAPP(c_List_Omap(_u18058, _u18059), _u18060), c_List_Oconcat(_u18058, _u18061)) = c_List_Oconcat(_u18059, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18058), tc_List_Olist(_u18059)), hAPP(c_List_Omap(_u18058, _u18059), _u18060)), _u18061))) )).
% 12.29/12.55 cnf(matrix-7454, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18062)), c_List_Oconcat(_u18062, _u18063)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18062), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18062))), _u18063))) )).
% 12.29/12.55 cnf(matrix-7455, plain, ( ( hAPP(c_List_Oset(_u18064), c_List_Oconcat(_u18064, _u18065)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18064), tc_fun(_u18064, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18064)), _u18065)), c_List_Oset(_u18064))) )).
% 12.29/12.55 cnf(matrix-7456, plain, ( ~class_Orderings_Olinorder(_u18066) | ( c_List_Olinorder__class_Osort__key(_u18067, _u18066, _u18068, hAPP(hAPP(c_List_Olist_OCons(_u18067), _u18069), _u18070)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18067, _u18066, _u18068), _u18069), c_List_Olinorder__class_Osort__key(_u18067, _u18066, _u18068, _u18070))) )).
% 12.29/12.55 cnf(matrix-7457, plain, ( ( c_List_Oconcat(_u18071, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u18071)), _u18072), _u18073)) = hAPP(hAPP(c_List_Oappend(_u18071), c_List_Oconcat(_u18071, _u18072)), c_List_Oconcat(_u18071, _u18073))) )).
% 12.29/12.55 cnf(matrix-7458, plain, ( ~class_Orderings_Olinorder(_u18074) | ( c_List_Olinorder__class_Osort__key(_u18074, _u18074, c_COMBI(_u18074), _u18075) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18074), _u18074, hAPP(c_COMBC(_u18074, tc_List_Olist(_u18074), tc_List_Olist(_u18074)), c_List_Olinorder__class_Oinsort__key(_u18074, _u18074, c_COMBI(_u18074))), c_List_Olist_ONil(_u18074)), _u18075)) )).
% 12.29/12.55 cnf(matrix-7459, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), skolem472(_u18079, _u18078, _u18077)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18077), tc_List_Olist(_u18077)), _u18078), _u18079)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( c_List_Oconcat(_u18077, _u18078) != c_List_Oconcat(_u18077, _u18079)) | ( _u18078 = _u18079) )).
% 12.29/12.55 cnf(matrix-7460, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), skolem472(_u18079, _u18078, _u18077)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18077), tc_List_Olist(_u18077))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18077), tc_List_Olist(_u18077)), _u18078), _u18079)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( _u18078 != _u18079) | ( c_List_Oconcat(_u18077, _u18078) = c_List_Oconcat(_u18077, _u18079)) )).
% 12.29/12.55 cnf(matrix-7461, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18077), tc_List_Olist(_u18077), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18077), tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), tc_List_Olist(_u18077)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18077))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18077)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)))), skolem472(_u18079, _u18078, _u18077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( c_List_Oconcat(_u18077, _u18078) != c_List_Oconcat(_u18077, _u18079)) | ( _u18078 = _u18079) )).
% 12.29/12.55 cnf(matrix-7462, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18077), tc_List_Olist(_u18077), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18077), tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18077), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18077), tc_HOL_Obool)), tc_List_Olist(_u18077)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18077))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18077)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18077)))), skolem472(_u18079, _u18078, _u18077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18078) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18077))), _u18079)) | ( _u18078 != _u18079) | ( c_List_Oconcat(_u18077, _u18078) = c_List_Oconcat(_u18077, _u18079)) )).
% 12.29/12.55 cnf(matrix-7463, plain, ( ( c_List_Oconcat(_u18081, _u18082) != c_List_Oconcat(_u18081, _u18083)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18082) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18083)) | ( _u18082 = _u18083) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18081), tc_List_Olist(_u18081))), skolem473(_u18083, _u18082, _u18081)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18081), tc_List_Olist(_u18081))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18081), tc_List_Olist(_u18081)), _u18082), _u18083)))) )).
% 12.29/12.55 cnf(matrix-7464, plain, ( ( c_List_Oconcat(_u18081, _u18082) != c_List_Oconcat(_u18081, _u18083)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18082) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18081))), _u18083)) | ( _u18082 = _u18083) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18081), tc_List_Olist(_u18081), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18081), tc_fun(tc_List_Olist(_u18081), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18081), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18081), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18081), tc_HOL_Obool)), tc_List_Olist(_u18081)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18081))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18081)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18081))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18081)))), skolem473(_u18083, _u18082, _u18081))) )).
% 12.29/12.55 cnf(matrix-7465, plain, ( ( c_List_Oconcat(_u18084, hAPP(hAPP(c_List_Omap(_u18085, tc_List_Olist(_u18084)), hAPP(hAPP(c_COMBC(_u18085, tc_List_Olist(_u18084), tc_List_Olist(_u18084)), hAPP(hAPP(c_COMBB(_u18084, tc_fun(tc_List_Olist(_u18084), tc_List_Olist(_u18084)), _u18085), c_List_Olist_OCons(_u18084)), _u18086)), c_List_Olist_ONil(_u18084))), _u18087)) = hAPP(hAPP(c_List_Omap(_u18085, _u18084), _u18086), _u18087)) )).
% 12.29/12.55 cnf(matrix-7466, plain, ( ( c_Enum_On__lists(_u18088, hAPP(c_Nat_OSuc, _u18089), _u18090) = c_List_Oconcat(tc_List_Olist(_u18088), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18088), tc_List_Olist(tc_List_Olist(_u18088))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18088), tc_List_Olist(_u18088), tc_List_Olist(tc_List_Olist(_u18088))), hAPP(hAPP(c_COMBB(tc_fun(_u18088, tc_List_Olist(_u18088)), tc_fun(tc_List_Olist(_u18088), tc_List_Olist(tc_List_Olist(_u18088))), tc_List_Olist(_u18088)), c_List_Omap(_u18088, tc_List_Olist(_u18088))), hAPP(c_COMBC(_u18088, tc_List_Olist(_u18088), tc_List_Olist(_u18088)), c_List_Olist_OCons(_u18088)))), _u18090)), c_Enum_On__lists(_u18088, _u18089, _u18090)))) )).
% 12.29/12.55 cnf(matrix-7467, plain, ( ( c_List_Otranspose(_u18091, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18091)), hAPP(hAPP(c_List_Olist_OCons(_u18091), _u18092), _u18093)), _u18094)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18091)), hAPP(hAPP(c_List_Olist_OCons(_u18091), _u18092), c_List_Oconcat(_u18091, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18091), tc_List_Olist(_u18091)), c_List_Olist_Olist__case(tc_List_Olist(_u18091), _u18091, c_List_Olist_ONil(_u18091), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18091), tc_fun(tc_List_Olist(_u18091), tc_List_Olist(_u18091)), _u18091), c_COMBK(tc_List_Olist(_u18091), tc_List_Olist(_u18091))), hAPP(hAPP(c_COMBC(_u18091, tc_List_Olist(_u18091), tc_List_Olist(_u18091)), c_List_Olist_OCons(_u18091)), c_List_Olist_ONil(_u18091))))), _u18094)))), c_List_Otranspose(_u18091, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18091)), _u18093), c_List_Oconcat(tc_List_Olist(_u18091), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18091), tc_List_Olist(tc_List_Olist(_u18091))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18091)), _u18091, c_List_Olist_ONil(tc_List_Olist(_u18091)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18091), tc_List_Olist(tc_List_Olist(_u18091))), _u18091), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18091), tc_List_Olist(tc_List_Olist(_u18091)), tc_List_Olist(tc_List_Olist(_u18091))), c_List_Olist_OCons(tc_List_Olist(_u18091))), c_List_Olist_ONil(tc_List_Olist(_u18091)))))), _u18094)))))) )).
% 12.29/12.55 cnf(matrix-7468, plain, ( ( c_List_Oconcat(_u18095, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18095), tc_List_Olist(_u18095)), c_List_Olist_Olist__case(tc_List_Olist(_u18095), _u18095, c_List_Olist_ONil(_u18095), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18095), tc_fun(tc_List_Olist(_u18095), tc_List_Olist(_u18095)), _u18095), c_COMBK(tc_List_Olist(_u18095), tc_List_Olist(_u18095))), hAPP(hAPP(c_COMBC(_u18095, tc_List_Olist(_u18095), tc_List_Olist(_u18095)), c_List_Olist_OCons(_u18095)), c_List_Olist_ONil(_u18095))))), _u18096)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18095), _u18095), c_List_Ohd(_u18095)), hAPP(c_List_Ofilter(tc_List_Olist(_u18095), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18095)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18095), tc_List_Olist(_u18095), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18095)))), _u18096))) )).
% 12.29/12.55 cnf(matrix-7469, plain, ( ( hAPP(c_List_Ofilter(_u18097, _u18098), c_List_Oconcat(_u18097, _u18099)) = c_List_Oconcat(_u18097, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18097), tc_List_Olist(_u18097)), c_List_Ofilter(_u18097, _u18098)), _u18099))) )).
% 12.29/12.55 cnf(matrix-7470, plain, ( ~class_Orderings_Olinorder(_u18100) | ( hAPP(c_List_Ofilter(_u18101, _u18102), c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18103, _u18104)) = c_List_Olinorder__class_Osort__key(_u18101, _u18100, _u18103, hAPP(c_List_Ofilter(_u18101, _u18102), _u18104))) )).
% 12.29/12.55 cnf(matrix-7471, plain, ( ( hAPP(c_List_Ofilter(_u18105, _u18106), hAPP(hAPP(c_List_Omap(_u18107, _u18105), _u18108), _u18109)) = hAPP(hAPP(c_List_Omap(_u18107, _u18105), _u18108), hAPP(c_List_Ofilter(_u18107, hAPP(c_Fun_Ocomp(_u18105, tc_HOL_Obool, _u18107, _u18106), _u18108)), _u18109))) )).
% 12.29/12.55 cnf(matrix-7472, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18110)), hAPP(c_List_Ofilter(_u18110, _u18111), hAPP(hAPP(c_List_Omap(_u18112, _u18110), _u18113), _u18114))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18112)), hAPP(c_List_Ofilter(_u18112, hAPP(c_Fun_Ocomp(_u18110, tc_HOL_Obool, _u18112, _u18111), _u18113)), _u18114))) )).
% 12.29/12.55 cnf(matrix-7473, plain, ( ~class_Orderings_Olinorder(_u18115) | hBOOL(hAPP(_u18116, _u18117)) | ( hAPP(c_List_Ofilter(_u18118, _u18116), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18118, _u18115, _u18119), _u18117), _u18120)) = hAPP(c_List_Ofilter(_u18118, _u18116), _u18120)) )).
% 12.29/12.55 cnf(matrix-7474, plain, ( ( hAPP(c_List_Ofilter(_u18121, _u18122), c_List_Olist_ONil(_u18121)) = c_List_Olist_ONil(_u18121)) )).
% 12.29/12.55 cnf(matrix-7475, plain, ( ( c_List_Otranspose(_u18123, c_List_Olist_ONil(tc_List_Olist(_u18123))) = c_List_Olist_ONil(tc_List_Olist(_u18123))) )).
% 12.29/12.55 cnf(matrix-7476, plain, ( ( hAPP(c_List_Ofilter(_u18129, _u18131), _u18133) != c_List_Olist_ONil(_u18129)) | ~hBOOL(hAPP(hAPP(c_member(_u18129), _u18124), hAPP(c_List_Oset(_u18129), _u18133))) | ~hBOOL(hAPP(_u18131, _u18124)) )).
% 12.29/12.55 cnf(matrix-7477, plain, ( ( hAPP(c_List_Ofilter(_u18130, _u18132), _u18134) = c_List_Olist_ONil(_u18130)) | hBOOL(hAPP(hAPP(c_member(_u18130), skolem474(_u18134, _u18132, _u18130)), hAPP(c_List_Oset(_u18130), _u18134))) )).
% 12.29/12.55 cnf(matrix-7478, plain, ( ( hAPP(c_List_Ofilter(_u18130, _u18132), _u18134) = c_List_Olist_ONil(_u18130)) | hBOOL(hAPP(_u18132, skolem474(_u18134, _u18132, _u18130))) )).
% 12.29/12.55 cnf(matrix-7479, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18135)), hAPP(c_List_Ofilter(_u18135, _u18136), _u18137))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18135)), _u18137))) )).
% 12.29/12.55 cnf(matrix-7480, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18138)), hAPP(c_List_Ofilter(_u18138, _u18139), _u18140))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18138)), hAPP(c_List_Ofilter(_u18138, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18138), c_fNot), _u18139)), _u18140))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18138)), _u18140)) )).
% 12.29/12.55 cnf(matrix-7481, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18141, tc_HOL_Obool)), hAPP(c_List_Oset(_u18141), hAPP(c_List_Ofilter(_u18141, _u18142), _u18143))), hAPP(c_List_Oset(_u18141), _u18143))) )).
% 12.29/12.55 cnf(matrix-7482, plain, ( ( hAPP(c_List_Ofilter(_u18149, _u18151), _u18153) != _u18153) | ~hBOOL(hAPP(hAPP(c_member(_u18149), _u18144), hAPP(c_List_Oset(_u18149), _u18153))) | hBOOL(hAPP(_u18151, _u18144)) )).
% 12.29/12.55 cnf(matrix-7483, plain, ( ( hAPP(c_List_Ofilter(_u18150, _u18152), _u18154) = _u18154) | hBOOL(hAPP(hAPP(c_member(_u18150), skolem475(_u18154, _u18152, _u18150)), hAPP(c_List_Oset(_u18150), _u18154))) )).
% 12.29/12.55 cnf(matrix-7484, plain, ( ( hAPP(c_List_Ofilter(_u18150, _u18152), _u18154) = _u18154) | ~hBOOL(hAPP(_u18152, skolem475(_u18154, _u18152, _u18150))) )).
% 12.29/12.55 cnf(matrix-7485, plain, ( ( hAPP(c_List_Ofilter(_u18155, _u18156), hAPP(c_List_Ofilter(_u18155, _u18157), _u18158)) = hAPP(c_List_Ofilter(_u18155, hAPP(hAPP(c_COMBS(_u18155, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18155), c_fconj), _u18157)), _u18156)), _u18158)) )).
% 12.29/12.55 cnf(matrix-7486, plain, ( hBOOL(hAPP(_u18159, _u18160)) | ( c_List_Oremove1(_u18161, _u18160, hAPP(c_List_Ofilter(_u18161, _u18159), _u18162)) = hAPP(c_List_Ofilter(_u18161, _u18159), _u18162)) )).
% 12.29/12.55 cnf(matrix-7487, plain, ( ( hAPP(c_List_Ofilter(_u18163, _u18164), c_List_Oremove1(_u18163, _u18165, _u18166)) = c_List_Oremove1(_u18163, _u18165, hAPP(c_List_Ofilter(_u18163, _u18164), _u18166))) )).
% 12.29/12.55 cnf(matrix-7488, plain, ( ~hBOOL(hAPP(_u18171, _u18173)) | ( hAPP(c_List_Ofilter(_u18175, _u18171), hAPP(hAPP(c_List_Olist_OCons(_u18175), _u18173), _u18177)) = hAPP(hAPP(c_List_Olist_OCons(_u18175), _u18173), hAPP(c_List_Ofilter(_u18175, _u18171), _u18177))) )).
% 12.29/12.55 cnf(matrix-7489, plain, ( hBOOL(hAPP(_u18172, _u18174)) | ( hAPP(c_List_Ofilter(_u18176, _u18172), hAPP(hAPP(c_List_Olist_OCons(_u18176), _u18174), _u18178)) = hAPP(c_List_Ofilter(_u18176, _u18172), _u18178)) )).
% 12.29/12.55 cnf(matrix-7490, plain, ( ( hAPP(c_List_Ofilter(_u18179, _u18180), hAPP(hAPP(c_List_Oappend(_u18179), _u18181), _u18182)) = hAPP(hAPP(c_List_Oappend(_u18179), hAPP(c_List_Ofilter(_u18179, _u18180), _u18181)), hAPP(c_List_Ofilter(_u18179, _u18180), _u18182))) )).
% 12.29/12.55 cnf(matrix-7491, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18183), _u18184)) | hBOOL(hAPP(c_List_Odistinct(_u18183), hAPP(c_List_Ofilter(_u18183, _u18185), _u18184))) )).
% 12.29/12.55 cnf(matrix-7492, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u18186), tc_List_Olist(_u18186)), c_List_Opartition(_u18186, _u18187, _u18188)) = hAPP(c_List_Ofilter(_u18186, _u18187), _u18188)) )).
% 12.29/12.55 cnf(matrix-7493, plain, ( ( c_List_Opartition(_u18189, _u18190, _u18191) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18189), tc_List_Olist(_u18189)), hAPP(c_List_Ofilter(_u18189, _u18190), _u18191)), hAPP(c_List_Ofilter(_u18189, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18189, c_fNot), _u18190)), _u18191))) )).
% 12.29/12.55 cnf(matrix-7494, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u18192), tc_List_Olist(_u18192)), c_List_Opartition(_u18192, _u18193, _u18194)) = hAPP(c_List_Ofilter(_u18192, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18192, c_fNot), _u18193)), _u18194)) )).
% 12.29/12.55 cnf(matrix-7495, plain, ( ( c_List_Oremdups(_u18195, hAPP(c_List_Ofilter(_u18195, _u18196), _u18197)) = hAPP(c_List_Ofilter(_u18195, _u18196), c_List_Oremdups(_u18195, _u18197))) )).
% 12.29/12.55 cnf(matrix-7496, plain, ( ( c_List_Otranspose(_u18198, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18198)), c_List_Olist_ONil(_u18198)), _u18199)) = c_List_Otranspose(_u18198, _u18199)) )).
% 12.29/12.55 cnf(matrix-7497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18200), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18201))), c_List_Otranspose(_u18201, _u18202)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18201)), c_List_Otranspose(_u18201, _u18202)), _u18200) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18201), _u18201), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18201), tc_Nat_Onat, _u18201), c_List_Onth(_u18201)), _u18200)), hAPP(c_List_Ofilter(tc_List_Olist(_u18201), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18201)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18200)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18201)))), _u18202))) )).
% 12.29/12.55 cnf(matrix-7498, plain, ( ( c_List_Otranspose(_u18203, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18204), tc_List_Olist(_u18203)), hAPP(c_List_Omap(_u18204, _u18203), _u18205)), _u18206)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18204), tc_List_Olist(_u18203)), hAPP(c_List_Omap(_u18204, _u18203), _u18205)), c_List_Otranspose(_u18204, _u18206))) )).
% 12.29/12.55 cnf(matrix-7499, plain, ( ( hAPP(c_List_Oset(_u18207), hAPP(c_List_Ofilter(_u18207, _u18208), _u18209)) = hAPP(c_Set_OCollect(_u18207), hAPP(hAPP(c_COMBS(_u18207, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18207), c_fconj), hAPP(hAPP(c_COMBC(_u18207, tc_fun(_u18207, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18207)), hAPP(c_List_Oset(_u18207), _u18209)))), _u18208))) )).
% 12.29/12.55 cnf(matrix-7500, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18210), _u18211), hAPP(c_List_Oset(_u18210), _u18212))) | hBOOL(hAPP(_u18213, _u18211)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18210)), hAPP(c_List_Ofilter(_u18210, _u18213), _u18212))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18210)), _u18212))) )).
% 12.29/12.55 cnf(matrix-7501, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18214, tc_HOL_Obool)), hAPP(c_List_Oset(_u18214), _u18215)), hAPP(hAPP(c_Set_Oinsert(_u18214), _u18216), c_Orderings_Obot__class_Obot(tc_fun(_u18214, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18214), hAPP(c_List_Ofilter(_u18214, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18214), c_fNot), hAPP(hAPP(c_COMBC(_u18214, _u18214, tc_HOL_Obool), c_fequal), _u18216))), _u18215))) )).
% 12.29/12.55 cnf(matrix-7502, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18217), _u18218)) | ( hAPP(c_List_Ofilter(_u18217, hAPP(hAPP(c_COMBC(_u18217, tc_fun(_u18217, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18217)), hAPP(c_List_Oset(_u18217), c_List_Osublist(_u18217, _u18218, _u18219)))), _u18218) = c_List_Osublist(_u18217, _u18218, _u18219)) )).
% 12.29/12.55 cnf(matrix-7503, plain, ( ( c_List_Otranspose(_u18224, _u18226) != c_List_Olist_ONil(tc_List_Olist(_u18224))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18224)), _u18220), hAPP(c_List_Oset(tc_List_Olist(_u18224)), _u18226))) | ( _u18220 = c_List_Olist_ONil(_u18224)) )).
% 12.29/12.55 cnf(matrix-7504, plain, ( ( c_List_Otranspose(_u18225, _u18227) = c_List_Olist_ONil(tc_List_Olist(_u18225))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18225)), skolem476(_u18227, _u18225)), hAPP(c_List_Oset(tc_List_Olist(_u18225)), _u18227))) )).
% 12.29/12.55 cnf(matrix-7505, plain, ( ( c_List_Otranspose(_u18225, _u18227) = c_List_Olist_ONil(tc_List_Olist(_u18225))) | ( skolem476(_u18227, _u18225) != c_List_Olist_ONil(_u18225)) )).
% 12.29/12.55 cnf(matrix-7506, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18228)), hAPP(c_List_Ofilter(_u18228, _u18229), _u18230)) = 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(_u18228)), _u18230)))), hAPP(hAPP(c_COMBB(_u18228, tc_HOL_Obool, tc_Nat_Onat), _u18229), hAPP(c_List_Onth(_u18228), _u18230)))))) )).
% 12.29/12.55 cnf(matrix-7507, plain, ( ( c_List_Oconcat(tc_List_Olist(_u18231), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18231), tc_List_Olist(tc_List_Olist(_u18231))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18231)), _u18231, c_List_Olist_ONil(tc_List_Olist(_u18231)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18231), tc_List_Olist(tc_List_Olist(_u18231))), _u18231), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18231), tc_List_Olist(tc_List_Olist(_u18231)), tc_List_Olist(tc_List_Olist(_u18231))), c_List_Olist_OCons(tc_List_Olist(_u18231))), c_List_Olist_ONil(tc_List_Olist(_u18231)))))), _u18232)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18231), tc_List_Olist(_u18231)), c_List_Otl(_u18231)), hAPP(c_List_Ofilter(tc_List_Olist(_u18231), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18231)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18231), tc_List_Olist(_u18231), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18231)))), _u18232))) )).
% 12.29/12.55 cnf(matrix-7508, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18233)), c_List_Otranspose__rel(_u18233)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), hAPP(hAPP(c_List_Olist_OCons(_u18233), _u18234), _u18235)), _u18236))) | ( c_List_Otranspose(_u18233, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), hAPP(hAPP(c_List_Olist_OCons(_u18233), _u18234), _u18235)), _u18236)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), hAPP(hAPP(c_List_Olist_OCons(_u18233), _u18234), c_List_Oconcat(_u18233, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18233), tc_List_Olist(_u18233)), c_List_Olist_Olist__case(tc_List_Olist(_u18233), _u18233, c_List_Olist_ONil(_u18233), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18233), tc_fun(tc_List_Olist(_u18233), tc_List_Olist(_u18233)), _u18233), c_COMBK(tc_List_Olist(_u18233), tc_List_Olist(_u18233))), hAPP(hAPP(c_COMBC(_u18233, tc_List_Olist(_u18233), tc_List_Olist(_u18233)), c_List_Olist_OCons(_u18233)), c_List_Olist_ONil(_u18233))))), _u18236)))), c_List_Otranspose(_u18233, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18233)), _u18235), c_List_Oconcat(tc_List_Olist(_u18233), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18233), tc_List_Olist(tc_List_Olist(_u18233))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18233)), _u18233, c_List_Olist_ONil(tc_List_Olist(_u18233)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18233), tc_List_Olist(tc_List_Olist(_u18233))), _u18233), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18233), tc_List_Olist(tc_List_Olist(_u18233)), tc_List_Olist(tc_List_Olist(_u18233))), c_List_Olist_OCons(tc_List_Olist(_u18233))), c_List_Olist_ONil(tc_List_Olist(_u18233)))))), _u18236)))))) )).
% 12.29/12.55 cnf(matrix-7509, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18237)), c_List_Otranspose__rel(_u18237)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18237)), c_List_Olist_ONil(_u18237)), _u18238))) | ( c_List_Otranspose(_u18237, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18237)), c_List_Olist_ONil(_u18237)), _u18238)) = c_List_Otranspose(_u18237, _u18238)) )).
% 12.29/12.55 cnf(matrix-7510, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18239, tc_Nat_Onat), _u18239), c_Product__Type_Ofst(_u18239, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18239, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18239, tc_Nat_Onat)), _u18240), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18239, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18239, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18239, tc_Nat_Onat), _u18241), _u18242))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18239, tc_Nat_Onat), _u18239), c_Product__Type_Ofst(_u18239, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18239, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18239, tc_Nat_Onat)), _u18240), c_Product__Type_Osnd(_u18239, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18239, tc_Nat_Onat), _u18241), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18242))))) )).
% 12.29/12.55 cnf(matrix-7511, plain, ( ( c_Random_Oselect__weight(_u18243, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18243), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18243, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18243, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18243)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18244)) = c_Random_Oselect__weight(_u18243, _u18244)) )).
% 12.29/12.55 cnf(matrix-7512, plain, ( ( c_Random_Opick(_u18245, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18245), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18245, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18245, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18245)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18246)) = c_Random_Opick(_u18245, _u18246)) )).
% 12.29/12.55 cnf(matrix-7513, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18247)), c_List_Otranspose__rel(_u18247)), c_List_Olist_ONil(tc_List_Olist(_u18247)))) | ( c_List_Otranspose(_u18247, c_List_Olist_ONil(tc_List_Olist(_u18247))) = c_List_Olist_ONil(tc_List_Olist(_u18247))) )).
% 12.29/12.55 cnf(matrix-7514, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u18248), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18248)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18248))), c_List_Otranspose(_u18248, _u18249), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18248))), hAPP(c_List_Ofilter(tc_List_Olist(_u18248), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18248)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18248), tc_List_Olist(_u18248), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18248)))), _u18249))) )).
% 12.29/12.55 cnf(matrix-7515, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18250)), _u18251))), c_List_Ofoldr(tc_List_Olist(_u18252), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18252)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18252))), _u18253, 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(_u18250)), _u18251)), c_List_Ofoldr(tc_List_Olist(_u18252), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18252)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18252), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18252)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18252)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18252), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18252)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18252), tc_List_Olist(_u18252), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18252)))), _u18253), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.29/12.55 cnf(matrix-7516, plain, ( ( c_List_Ofoldr(_u18254, _u18255, _u18256, c_List_Olist_ONil(_u18254), _u18257) = _u18257) )).
% 12.29/12.55 cnf(matrix-7517, plain, ( ( c_List_Ofoldr(_u18258, _u18259, _u18260, hAPP(hAPP(c_List_Olist_OCons(_u18258), _u18261), _u18262), _u18263) = hAPP(hAPP(_u18260, _u18261), c_List_Ofoldr(_u18258, _u18259, _u18260, _u18262, _u18263))) )).
% 12.29/12.55 cnf(matrix-7518, plain, ( ( c_List_Ofoldr(_u18264, _u18265, _u18266, hAPP(hAPP(c_List_Oappend(_u18264), _u18267), _u18268), _u18269) = c_List_Ofoldr(_u18264, _u18265, _u18266, _u18267, c_List_Ofoldr(_u18264, _u18265, _u18266, _u18268, _u18269))) )).
% 12.29/12.55 cnf(matrix-7519, plain, ( ~class_Groups_Oab__semigroup__add(_u18270) | ( c_List_Ofoldr(_u18270, _u18270, c_Groups_Oplus__class_Oplus(_u18270), _u18271, _u18272) = hAPP(c_List_Ofoldl(_u18270, _u18270, c_Groups_Oplus__class_Oplus(_u18270), _u18272), _u18271)) )).
% 12.29/12.55 cnf(matrix-7520, plain, ( ( c_List_Ofoldr(_u18273, _u18274, _u18275, hAPP(hAPP(c_List_Omap(_u18276, _u18273), _u18277), _u18278), _u18279) = c_List_Ofoldr(_u18276, _u18274, hAPP(c_Fun_Ocomp(_u18273, tc_fun(_u18274, _u18274), _u18276, _u18275), _u18277), _u18278, _u18279)) )).
% 12.29/12.55 cnf(matrix-7521, plain, ( ~class_Groups_Omonoid__add(_u18280) | ( hAPP(c_List_Ofoldl(_u18280, _u18280, c_Groups_Oplus__class_Oplus(_u18280), c_Groups_Ozero__class_Ozero(_u18280)), _u18281) = c_List_Ofoldr(_u18280, _u18280, c_Groups_Oplus__class_Oplus(_u18280), _u18281, c_Groups_Ozero__class_Ozero(_u18280))) )).
% 12.29/12.55 cnf(matrix-7522, plain, ( ~class_Groups_Omonoid__add(_u18282) | ( hAPP(c_List_Ofoldl(_u18282, _u18282, c_Groups_Oplus__class_Oplus(_u18282), _u18283), _u18284) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18282), _u18283), c_List_Ofoldr(_u18282, _u18282, c_Groups_Oplus__class_Oplus(_u18282), _u18284, c_Groups_Ozero__class_Ozero(_u18282)))) )).
% 12.29/12.55 cnf(matrix-7523, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18285))), c_List_Otranspose(_u18285, _u18286)) = c_List_Ofoldr(tc_List_Olist(_u18285), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18285)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18285))), _u18286, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7524, plain, ( ( c_List_Osublist(_u18287, _u18288, _u18289) = hAPP(hAPP(c_List_Omap(tc_prod(_u18287, tc_Nat_Onat), _u18287), c_Product__Type_Ofst(_u18287, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18287, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18287, 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(_u18287, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18287, tc_Nat_Onat))), _u18289)), hAPP(hAPP(c_List_Ozip(_u18287, tc_Nat_Onat), _u18288), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18287)), _u18288)))))) )).
% 12.29/12.55 cnf(matrix-7525, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18290, tc_Nat_Onat), _u18290), c_Product__Type_Ofst(_u18290, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18290, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18290, 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(_u18290, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18290, tc_Nat_Onat))), _u18291)), hAPP(hAPP(c_List_Ozip(_u18290, tc_Nat_Onat), _u18292), c_List_Oupt(_u18293, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18293), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18290)), _u18292)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18290, tc_Nat_Onat), _u18290), c_Product__Type_Ofst(_u18290, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18290, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18290, 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(_u18290, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18290, 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(_u18290, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18290, tc_Nat_Onat))), _u18293))), _u18291)), hAPP(hAPP(c_List_Ozip(_u18290, tc_Nat_Onat), _u18292), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18290)), _u18292)))))) )).
% 12.29/12.55 cnf(matrix-7526, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18294), _u18295) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18294, _u18295))) )).
% 12.29/12.55 cnf(matrix-7527, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18296, _u18297)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18296), _u18297)) )).
% 12.29/12.55 cnf(matrix-7528, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18298, _u18299))) )).
% 12.29/12.55 cnf(matrix-7529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18300), _u18301)) | ( c_List_Oupt(_u18300, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18301), _u18302)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18300, _u18301)), c_List_Oupt(_u18301, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18301), _u18302)))) )).
% 12.29/12.55 cnf(matrix-7530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18305), _u18307)) | ( c_List_Oupt(_u18305, hAPP(c_Nat_OSuc, _u18307)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18305, _u18307)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18307), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-7531, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18306), _u18308)) | ( c_List_Oupt(_u18306, hAPP(c_Nat_OSuc, _u18308)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18309), _u18310)) | ( c_List_Oupt(_u18309, hAPP(c_Nat_OSuc, _u18310)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18309, _u18310)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18310), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-7533, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18311), c_List_Oupt(_u18312, _u18313)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18312), _u18311), _u18313)) )).
% 12.29/12.55 cnf(matrix-7534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18314), _u18315)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18314, _u18315)) = _u18314) )).
% 12.29/12.55 cnf(matrix-7535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18318), _u18320)) | ( c_List_Oupt(_u18318, _u18320) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18318), c_List_Oupt(hAPP(c_Nat_OSuc, _u18318), _u18320))) )).
% 12.29/12.55 cnf(matrix-7536, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18319), _u18321)) | ( c_List_Oupt(_u18319, _u18321) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18322), _u18323)) | ( c_List_Oupt(_u18322, _u18323) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18322), c_List_Oupt(hAPP(c_Nat_OSuc, _u18322), _u18323))) )).
% 12.29/12.55 cnf(matrix-7538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18324), _u18325)), _u18326)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18325), c_List_Oupt(_u18324, _u18326)) = c_List_Oupt(_u18324, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18324), _u18325))) )).
% 12.29/12.55 cnf(matrix-7539, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18327), _u18328)) = c_List_Oupt(_u18327, _u18328)) )).
% 12.29/12.55 cnf(matrix-7540, plain, ( ( c_List_Oupt(_u18331, _u18333) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18333 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18333), _u18331)) )).
% 12.29/12.55 cnf(matrix-7541, plain, ( ( c_List_Oupt(_u18332, _u18334) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18334 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7542, plain, ( ( c_List_Oupt(_u18332, _u18334) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18334), _u18332)) )).
% 12.29/12.55 cnf(matrix-7543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18335), _u18336)) | ( c_List_Oupt(_u18336, _u18335) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7544, plain, ( ( c_List_Oupt(_u18337, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7545, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18338, _u18339)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18339), _u18338)) )).
% 12.29/12.55 cnf(matrix-7546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18344))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18344)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18342)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18344)))) )).
% 12.29/12.55 cnf(matrix-7547, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18343)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18345))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18343), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18345)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7548, plain, ( ( c_List_Oupt(_u18350, _u18352) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18354), _u18356)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18350), _u18352)) )).
% 12.29/12.55 cnf(matrix-7549, plain, ( ( c_List_Oupt(_u18350, _u18352) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18354), _u18356)) | ( _u18350 = _u18354) )).
% 12.29/12.55 cnf(matrix-7550, plain, ( ( c_List_Oupt(_u18350, _u18352) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18354), _u18356)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18350), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18352) = _u18356) )).
% 12.29/12.55 cnf(matrix-7551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18351), _u18353)) | ( _u18351 != _u18355) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18351), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18353) != _u18357) | ( c_List_Oupt(_u18351, _u18353) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18355), _u18357)) )).
% 12.29/12.55 cnf(matrix-7552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18358), _u18359)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18358, _u18359)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18359), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.29/12.55 cnf(matrix-7553, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18360, _u18361)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18360), hAPP(c_Nat_OSuc, _u18361))) )).
% 12.29/12.55 cnf(matrix-7554, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18362, _u18363) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18362, hAPP(c_Nat_OSuc, _u18363)))) )).
% 12.29/12.55 cnf(matrix-7555, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18364) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18364))) )).
% 12.29/12.55 cnf(matrix-7556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18365), _u18366)), _u18367)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18365, _u18367)), _u18366) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18365), _u18366)) )).
% 12.29/12.55 cnf(matrix-7557, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18368, _u18369) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18368), hAPP(c_Nat_OSuc, _u18369)))) )).
% 12.29/12.55 cnf(matrix-7558, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18370, _u18371) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18370), _u18371))) )).
% 12.29/12.55 cnf(matrix-7559, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18372) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18372)))) )).
% 12.29/12.55 cnf(matrix-7560, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18373), hAPP(c_List_Onth(_u18373), _u18374)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) = _u18374) )).
% 12.29/12.55 cnf(matrix-7561, plain, ( ~class_Groups_Ocomm__monoid__add(_u18375) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18375), _u18376), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18377, _u18378))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18375), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18375), _u18376), c_List_Oupt(_u18377, _u18378)))) )).
% 12.29/12.55 cnf(matrix-7562, plain, ( ~class_Groups_Ocomm__monoid__add(_u18379) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18379), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18379), _u18380), c_List_Oupt(_u18381, _u18382))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18379), _u18380), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18381, _u18382)))) )).
% 12.29/12.55 cnf(matrix-7563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18383), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18384), _u18385))) | ( hAPP(hAPP(c_List_Onth(_u18386), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18386), _u18387), c_List_Oupt(_u18385, _u18384))), _u18383) = hAPP(_u18387, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18385), _u18383))) )).
% 12.29/12.55 cnf(matrix-7564, plain, ( ( _u18389 = c_List_Olist_ONil(tc_List_Olist(_u18390))) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18391, _u18390, _u18389)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389))) )).
% 12.29/12.55 cnf(matrix-7565, plain, ( ( _u18389 = c_List_Olist_ONil(tc_List_Olist(_u18390))) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18390)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389), skolem477(_u18391, _u18390, _u18389))) != _u18391) )).
% 12.29/12.55 cnf(matrix-7566, plain, ( ( _u18391 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18391, _u18390, _u18389)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389))) )).
% 12.29/12.55 cnf(matrix-7567, plain, ( ( _u18391 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18390, _u18389) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18390), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18390)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18390)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18390), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18390), tc_fun(tc_Nat_Onat, _u18390), tc_Nat_Onat), c_List_Onth(_u18390)), hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18390))), _u18389)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18391))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18390)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18390)), _u18389), skolem477(_u18391, _u18390, _u18389))) != _u18391) )).
% 12.29/12.55 cnf(matrix-7568, plain, ( ~class_Orderings_Olinorder(_u18392) | ~hBOOL(hAPP(hAPP(c_member(_u18393), _u18394), hAPP(c_List_Oset(_u18393), _u18395))) | ~c_List_Olinorder__class_Osorted(_u18392, hAPP(hAPP(c_List_Omap(_u18393, _u18392), _u18396), _u18395)) | ( hAPP(c_List_Ohd(_u18393), hAPP(c_List_Ofilter(_u18393, hAPP(hAPP(c_COMBB(_u18392, tc_HOL_Obool, _u18393), hAPP(c_fequal, hAPP(_u18396, _u18394))), _u18396)), _u18395)) != _u18394) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18393, _u18392, _u18396), _u18394), c_List_Oremove1(_u18393, _u18394, _u18395)) = _u18395) )).
% 12.29/12.55 cnf(matrix-7569, plain, ( ~class_Orderings_Olinorder(_u18397) | c_List_Olinorder__class_Osorted(_u18397, c_List_Olist_ONil(_u18397)) )).
% 12.29/12.55 cnf(matrix-7570, plain, ( ~class_Orderings_Olinorder(_u18398) | c_List_Olinorder__class_Osorted(_u18398, hAPP(hAPP(c_List_Olist_OCons(_u18398), _u18399), c_List_Olist_ONil(_u18398))) )).
% 12.29/12.55 cnf(matrix-7571, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18400, _u18401)) )).
% 12.29/12.55 cnf(matrix-7572, plain, ( ~class_Orderings_Olinorder(_u18402) | c_List_Olinorder__class_Osorted(_u18402, c_List_Olinorder__class_Osort__key(_u18402, _u18402, c_COMBI(_u18402), _u18403)) )).
% 12.29/12.55 cnf(matrix-7573, plain, ( ~class_Orderings_Olinorder(_u18404) | ~c_List_Olinorder__class_Osorted(_u18404, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18404, _u18404, c_COMBI(_u18404)), _u18405), _u18406)) | c_List_Olinorder__class_Osorted(_u18404, _u18406) )).
% 12.29/12.55 cnf(matrix-7574, plain, ( ~class_Orderings_Olinorder(_u18404) | ~c_List_Olinorder__class_Osorted(_u18404, _u18406) | c_List_Olinorder__class_Osorted(_u18404, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18404, _u18404, c_COMBI(_u18404)), _u18405), _u18406)) )).
% 12.29/12.55 cnf(matrix-7575, plain, ( ~class_Orderings_Olinorder(_u18407) | ~c_List_Olinorder__class_Osorted(_u18407, _u18408) | c_List_Olinorder__class_Osorted(_u18407, hAPP(c_List_Otl(_u18407), _u18408)) )).
% 12.29/12.55 cnf(matrix-7576, plain, ( ~class_Orderings_Olinorder(_u18409) | c_List_Olinorder__class_Osorted(_u18409, c_List_Olist_ONil(_u18409)) )).
% 12.29/12.55 cnf(matrix-7577, plain, ( ~class_Orderings_Olinorder(_u18410) | ( _u18411 = c_List_Olist_ONil(_u18410)) | ~c_List_Olinorder__class_Osorted(_u18410, _u18411) | c_List_Olinorder__class_Osorted(_u18410, c_List_Obutlast(_u18410, _u18411)) )).
% 12.29/12.55 cnf(matrix-7578, plain, ( ~class_Orderings_Olinorder(_u18412) | ~c_List_Olinorder__class_Osorted(_u18412, _u18413) | c_List_Olinorder__class_Osorted(_u18412, hAPP(hAPP(c_List_Otake(_u18412), _u18414), _u18413)) )).
% 12.29/12.55 cnf(matrix-7579, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18415, _u18416)) )).
% 12.29/12.55 cnf(matrix-7580, plain, ( ~class_Orderings_Olinorder(_u18417) | ~c_List_Olinorder__class_Osorted(_u18417, _u18418) | c_List_Olinorder__class_Osorted(_u18417, c_List_Oremove1(_u18417, _u18419, _u18418)) )).
% 12.29/12.55 cnf(matrix-7581, plain, ( ~class_Orderings_Olinorder(_u18420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18420), _u18421), _u18422)) | ~c_List_Olinorder__class_Osorted(_u18420, hAPP(hAPP(c_List_Olist_OCons(_u18420), _u18422), _u18423)) | c_List_Olinorder__class_Osorted(_u18420, hAPP(hAPP(c_List_Olist_OCons(_u18420), _u18421), hAPP(hAPP(c_List_Olist_OCons(_u18420), _u18422), _u18423))) )).
% 12.29/12.55 cnf(matrix-7582, plain, ( ~class_Orderings_Olinorder(_u18424) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18425), hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18424), _u18425), _u18426)) )).
% 12.29/12.55 cnf(matrix-7583, plain, ( ~class_Orderings_Olinorder(_u18424) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18425), hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427))) | c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427)) )).
% 12.29/12.55 cnf(matrix-7584, plain, ( ~class_Orderings_Olinorder(_u18424) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18424), _u18425), _u18426)) | ~c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427)) | c_List_Olinorder__class_Osorted(_u18424, hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18425), hAPP(hAPP(c_List_Olist_OCons(_u18424), _u18426), _u18427))) )).
% 12.29/12.55 cnf(matrix-7585, plain, ( ~class_Orderings_Olinorder(_u18428) | ~c_List_Olinorder__class_Osorted(_u18428, _u18429) | c_List_Olinorder__class_Osorted(_u18428, hAPP(hAPP(c_List_Odrop(_u18428), _u18430), _u18429)) )).
% 12.29/12.55 cnf(matrix-7586, plain, ( ~class_Orderings_Olinorder(_u18431) | ~c_List_Olinorder__class_Osorted(_u18431, _u18432) | c_List_Olinorder__class_Osorted(_u18431, c_List_Olinorder__class_Oinsort__insert__key(_u18431, _u18431, c_COMBI(_u18431), _u18433, _u18432)) )).
% 12.29/12.55 cnf(matrix-7587, plain, ( ~class_Orderings_Olinorder(_u18434) | ~c_List_Olinorder__class_Osorted(_u18434, _u18435) | c_List_Olinorder__class_Osorted(_u18434, c_List_Oremdups(_u18434, _u18435)) )).
% 12.29/12.55 cnf(matrix-7588, plain, ( ~class_Orderings_Olinorder(_u18436) | ~c_List_Olinorder__class_Osorted(_u18436, _u18437) | ~hBOOL(hAPP(c_List_Odistinct(_u18436), _u18437)) | ~c_List_Olinorder__class_Osorted(_u18436, _u18438) | ~hBOOL(hAPP(c_List_Odistinct(_u18436), _u18438)) | ( hAPP(c_List_Oset(_u18436), _u18437) != hAPP(c_List_Oset(_u18436), _u18438)) | ( _u18437 = _u18438) )).
% 12.29/12.55 cnf(matrix-7589, plain, ( ~class_Orderings_Olinorder(_u18439) | c_List_Olinorder__class_Osorted(_u18439, hAPP(hAPP(c_List_Omap(_u18440, _u18439), _u18441), c_List_Olinorder__class_Osort__key(_u18440, _u18439, _u18441, _u18442))) )).
% 12.29/12.55 cnf(matrix-7590, plain, ( ~class_Orderings_Olinorder(_u18443) | ~c_List_Olinorder__class_Osorted(_u18443, hAPP(hAPP(c_List_Omap(_u18444, _u18443), _u18445), _u18446)) | c_List_Olinorder__class_Osorted(_u18443, hAPP(hAPP(c_List_Omap(_u18444, _u18443), _u18445), c_List_Olinorder__class_Oinsort__insert__key(_u18444, _u18443, _u18445, _u18447, _u18446))) )).
% 12.29/12.55 cnf(matrix-7591, plain, ( ~class_Orderings_Olinorder(_u18448) | ~c_List_Olinorder__class_Osorted(_u18448, hAPP(hAPP(c_List_Omap(_u18449, _u18448), _u18450), _u18451)) | c_List_Olinorder__class_Osorted(_u18448, hAPP(hAPP(c_List_Omap(_u18449, _u18448), _u18450), c_List_Oremove1(_u18449, _u18452, _u18451))) )).
% 12.29/12.55 cnf(matrix-7592, plain, ( ~class_Orderings_Olinorder(_u18453) | ~c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18454, _u18453, _u18455), _u18456), _u18457))) | c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), _u18457)) )).
% 12.29/12.55 cnf(matrix-7593, plain, ( ~class_Orderings_Olinorder(_u18453) | ~c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), _u18457)) | c_List_Olinorder__class_Osorted(_u18453, hAPP(hAPP(c_List_Omap(_u18454, _u18453), _u18455), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18454, _u18453, _u18455), _u18456), _u18457))) )).
% 12.29/12.55 cnf(matrix-7594, plain, ( ~class_Orderings_Olinorder(_u18458) | ~c_List_Olinorder__class_Osorted(_u18458, hAPP(hAPP(c_List_Omap(_u18459, _u18458), _u18460), _u18461)) | c_List_Olinorder__class_Osorted(_u18458, hAPP(hAPP(c_List_Omap(_u18459, _u18458), _u18460), hAPP(c_List_Ofilter(_u18459, _u18462), _u18461))) )).
% 12.29/12.55 cnf(matrix-7595, plain, ( ~class_Orderings_Olinorder(_u18463) | c_List_Olinorder__class_Osorted(_u18463, hAPP(hAPP(c_List_Omap(_u18464, _u18463), _u18465), hAPP(c_List_Ofilter(_u18464, hAPP(hAPP(c_COMBC(_u18464, _u18463, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18463, tc_fun(_u18463, tc_HOL_Obool), _u18464), c_fequal), _u18465)), hAPP(_u18466, _u18467))), _u18467))) )).
% 12.29/12.55 cnf(matrix-7596, plain, ( ~class_Orderings_Olinorder(_u18468) | c_List_Olinorder__class_Osorted(_u18468, hAPP(c_List_Ofilter(_u18468, hAPP(hAPP(c_COMBC(_u18468, _u18468, tc_HOL_Obool), c_fequal), hAPP(_u18469, _u18470))), _u18470)) )).
% 12.29/12.55 cnf(matrix-7597, plain, ( ~class_Orderings_Olinorder(_u18473) | ~c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | c_List_Olinorder__class_Osorted(_u18473, _u18475) )).
% 12.29/12.55 cnf(matrix-7598, plain, ( ~class_Orderings_Olinorder(_u18473) | ~c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | ~hBOOL(hAPP(hAPP(c_member(_u18473), _u18471), hAPP(c_List_Oset(_u18473), _u18475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18473), _u18474), _u18471)) )).
% 12.29/12.55 cnf(matrix-7599, plain, ( ~class_Orderings_Olinorder(_u18473) | c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | ~c_List_Olinorder__class_Osorted(_u18473, _u18475) | hBOOL(hAPP(hAPP(c_member(_u18473), skolem478(_u18475, _u18474, _u18473)), hAPP(c_List_Oset(_u18473), _u18475))) )).
% 12.29/12.55 cnf(matrix-7600, plain, ( ~class_Orderings_Olinorder(_u18473) | c_List_Olinorder__class_Osorted(_u18473, hAPP(hAPP(c_List_Olist_OCons(_u18473), _u18474), _u18475)) | ~c_List_Olinorder__class_Osorted(_u18473, _u18475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18473), _u18474), skolem478(_u18475, _u18474, _u18473))) )).
% 12.29/12.55 cnf(matrix-7601, plain, ( ~class_Orderings_Olinorder(_u18480) | ~c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | c_List_Olinorder__class_Osorted(_u18480, _u18481) )).
% 12.29/12.55 cnf(matrix-7602, plain, ( ~class_Orderings_Olinorder(_u18480) | ~c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | c_List_Olinorder__class_Osorted(_u18480, _u18482) )).
% 12.29/12.55 cnf(matrix-7603, plain, ( ~class_Orderings_Olinorder(_u18480) | ~c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~hBOOL(hAPP(hAPP(c_member(_u18480), _u18477), hAPP(c_List_Oset(_u18480), _u18481))) | ~hBOOL(hAPP(hAPP(c_member(_u18480), _u18476), hAPP(c_List_Oset(_u18480), _u18482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18480), _u18477), _u18476)) )).
% 12.29/12.55 cnf(matrix-7604, plain, ( ~class_Orderings_Olinorder(_u18480) | c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~c_List_Olinorder__class_Osorted(_u18480, _u18481) | ~c_List_Olinorder__class_Osorted(_u18480, _u18482) | hBOOL(hAPP(hAPP(c_member(_u18480), skolem479(_u18482, _u18481, _u18480)), hAPP(c_List_Oset(_u18480), _u18481))) )).
% 12.29/12.55 cnf(matrix-7605, plain, ( ~class_Orderings_Olinorder(_u18480) | c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~c_List_Olinorder__class_Osorted(_u18480, _u18481) | ~c_List_Olinorder__class_Osorted(_u18480, _u18482) | hBOOL(hAPP(hAPP(c_member(_u18480), skolem480(_u18482, _u18481, _u18480)), hAPP(c_List_Oset(_u18480), _u18482))) )).
% 12.29/12.55 cnf(matrix-7606, plain, ( ~class_Orderings_Olinorder(_u18480) | c_List_Olinorder__class_Osorted(_u18480, hAPP(hAPP(c_List_Oappend(_u18480), _u18481), _u18482)) | ~c_List_Olinorder__class_Osorted(_u18480, _u18481) | ~c_List_Olinorder__class_Osorted(_u18480, _u18482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18480), skolem479(_u18482, _u18481, _u18480)), skolem480(_u18482, _u18481, _u18480))) )).
% 12.29/12.55 cnf(matrix-7607, plain, ( ~class_Orderings_Olinorder(_u18483) | ~c_List_Olinorder__class_Osorted(_u18483, hAPP(hAPP(c_List_Omap(_u18484, _u18483), _u18485), _u18486)) | ~hBOOL(hAPP(_u18487, _u18488)) | ( hAPP(c_List_Ofilter(_u18484, _u18487), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18484, _u18483, _u18485), _u18488), _u18486)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18484, _u18483, _u18485), _u18488), hAPP(c_List_Ofilter(_u18484, _u18487), _u18486))) )).
% 12.29/12.55 cnf(matrix-7608, plain, ( ~class_Orderings_Olinorder(_u18491) | ~c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | ~hBOOL(hAPP(hAPP(c_member(_u18491), _u18489), hAPP(c_List_Oset(_u18491), _u18493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18491), _u18492), _u18489)) )).
% 12.29/12.55 cnf(matrix-7609, plain, ( ~class_Orderings_Olinorder(_u18491) | ~c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | c_List_Olinorder__class_Osorted(_u18491, _u18493) )).
% 12.29/12.55 cnf(matrix-7610, plain, ( ~class_Orderings_Olinorder(_u18491) | c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | ~c_List_Olinorder__class_Osorted(_u18491, _u18493) | hBOOL(hAPP(hAPP(c_member(_u18491), skolem481(_u18493, _u18492, _u18491)), hAPP(c_List_Oset(_u18491), _u18493))) )).
% 12.29/12.55 cnf(matrix-7611, plain, ( ~class_Orderings_Olinorder(_u18491) | c_List_Olinorder__class_Osorted(_u18491, hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18492), _u18493)) | ~c_List_Olinorder__class_Osorted(_u18491, _u18493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18491), _u18492), skolem481(_u18493, _u18492, _u18491))) )).
% 12.29/12.55 cnf(matrix-7612, plain, ( ~class_Orderings_Olinorder(_u18494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18494), _u18495)) | ( hAPP(c_List_Oset(_u18494), c_List_Olinorder__class_Osorted__list__of__set(_u18494, _u18495)) = _u18495) )).
% 12.29/12.55 cnf(matrix-7613, plain, ( ~class_Orderings_Olinorder(_u18494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18494), _u18495)) | c_List_Olinorder__class_Osorted(_u18494, c_List_Olinorder__class_Osorted__list__of__set(_u18494, _u18495)) )).
% 12.29/12.55 cnf(matrix-7614, plain, ( ~class_Orderings_Olinorder(_u18494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18494), _u18495)) | hBOOL(hAPP(c_List_Odistinct(_u18494), c_List_Olinorder__class_Osorted__list__of__set(_u18494, _u18495))) )).
% 12.29/12.55 cnf(matrix-7615, plain, ( ~class_Orderings_Olinorder(_u18496) | ~hBOOL(hAPP(hAPP(c_member(_u18496), _u18497), hAPP(c_List_Oset(_u18496), _u18498))) | ~c_List_Olinorder__class_Osorted(_u18496, _u18498) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18496, _u18496, c_COMBI(_u18496)), _u18497), c_List_Oremove1(_u18496, _u18497, _u18498)) = _u18498) )).
% 12.29/12.55 cnf(matrix-7616, plain, ( ~class_Orderings_Olinorder(_u18499) | ~c_List_Olinorder__class_Osorted(_u18499, _u18500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18501), _u18502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18502), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18499)), _u18500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18499), hAPP(hAPP(c_List_Onth(_u18499), _u18500), _u18501)), hAPP(hAPP(c_List_Onth(_u18499), _u18500), _u18502))) )).
% 12.29/12.55 cnf(matrix-7617, plain, ( ~class_Orderings_Olinorder(_u18507) | ~c_List_Olinorder__class_Osorted(_u18507, _u18508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18504), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18503), _u18504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18507), hAPP(hAPP(c_List_Onth(_u18507), _u18508), _u18503)), hAPP(hAPP(c_List_Onth(_u18507), _u18508), _u18504))) )).
% 12.29/12.55 cnf(matrix-7618, plain, ( ~class_Orderings_Olinorder(_u18507) | c_List_Olinorder__class_Osorted(_u18507, _u18508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem482(_u18508, _u18507)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508))) )).
% 12.29/12.55 cnf(matrix-7619, plain, ( ~class_Orderings_Olinorder(_u18507) | c_List_Olinorder__class_Osorted(_u18507, _u18508) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem483(_u18508, _u18507)), skolem482(_u18508, _u18507))) )).
% 12.29/12.55 cnf(matrix-7620, plain, ( ~class_Orderings_Olinorder(_u18507) | c_List_Olinorder__class_Osorted(_u18507, _u18508) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18507), hAPP(hAPP(c_List_Onth(_u18507), _u18508), skolem483(_u18508, _u18507))), hAPP(hAPP(c_List_Onth(_u18507), _u18508), skolem482(_u18508, _u18507)))) )).
% 12.29/12.55 cnf(matrix-7621, plain, ( ~class_Orderings_Olinorder(_u18509) | ~c_Fun_Oinj__on(_u18510, _u18509, _u18511, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18510, tc_HOL_Obool)), hAPP(c_List_Oset(_u18510), _u18512)), hAPP(c_List_Oset(_u18510), _u18513))) | ~c_List_Olinorder__class_Osorted(_u18509, hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18512)) | ~hBOOL(hAPP(c_List_Odistinct(_u18509), hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18512))) | ~c_List_Olinorder__class_Osorted(_u18509, hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18513)) | ~hBOOL(hAPP(c_List_Odistinct(_u18509), hAPP(hAPP(c_List_Omap(_u18510, _u18509), _u18511), _u18513))) | ( hAPP(c_List_Oset(_u18510), _u18512) != hAPP(c_List_Oset(_u18510), _u18513)) | ( _u18512 = _u18513) )).
% 12.29/12.55 cnf(matrix-7622, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18514), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18514))), _u18515))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18516), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18514))), _u18515))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18514), _u18514), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18514), tc_Nat_Onat, _u18514), c_List_Onth(_u18514)), _u18516)), hAPP(c_List_Ofilter(tc_List_Olist(_u18514), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18514)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18516)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18514)))), c_List_Otranspose(_u18514, _u18515))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18514)), _u18515), _u18516)) )).
% 12.29/12.55 cnf(matrix-7623, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18517), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18517))), _u18518))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18519), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18517))), c_List_Otranspose(_u18517, _u18518)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18520), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18517))), hAPP(c_List_Ofilter(tc_List_Olist(_u18517), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18517)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18519)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18517)))), _u18518)))) | ( hAPP(hAPP(c_List_Onth(_u18517), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18517)), c_List_Otranspose(_u18517, _u18518)), _u18519)), _u18520) = hAPP(hAPP(c_List_Onth(_u18517), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18517)), _u18518), _u18520)), _u18519)) )).
% 12.29/12.55 cnf(matrix-7624, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u18521), tc_List_Olist(_u18521), c_List_Orev(_u18521), _u18522) )).
% 12.29/12.55 cnf(matrix-7625, plain, ( ( hAPP(c_List_Orev(_u18525), _u18527) != c_List_Olist_ONil(_u18525)) | ( _u18527 = c_List_Olist_ONil(_u18525)) )).
% 12.29/12.55 cnf(matrix-7626, plain, ( ( _u18528 != c_List_Olist_ONil(_u18526)) | ( hAPP(c_List_Orev(_u18526), _u18528) = c_List_Olist_ONil(_u18526)) )).
% 12.29/12.55 cnf(matrix-7627, plain, ( ( c_List_Olist_ONil(_u18531) != hAPP(c_List_Orev(_u18531), _u18533)) | ( _u18533 = c_List_Olist_ONil(_u18531)) )).
% 12.29/12.55 cnf(matrix-7628, plain, ( ( _u18534 != c_List_Olist_ONil(_u18532)) | ( c_List_Olist_ONil(_u18532) = hAPP(c_List_Orev(_u18532), _u18534)) )).
% 12.29/12.55 cnf(matrix-7629, plain, ( ( hAPP(c_List_Orev(_u18535), c_List_Olist_ONil(_u18535)) = c_List_Olist_ONil(_u18535)) )).
% 12.29/12.55 cnf(matrix-7630, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18541), c_List_Olist_ONil(_u18539)) != hAPP(c_List_Orev(_u18539), _u18543)) | ( _u18543 = hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18541), c_List_Olist_ONil(_u18539))) )).
% 12.29/12.55 cnf(matrix-7631, plain, ( ( _u18544 != hAPP(hAPP(c_List_Olist_OCons(_u18540), _u18542), c_List_Olist_ONil(_u18540))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18540), _u18542), c_List_Olist_ONil(_u18540)) = hAPP(c_List_Orev(_u18540), _u18544)) )).
% 12.29/12.55 cnf(matrix-7632, plain, ( ( hAPP(c_List_Orev(_u18548), _u18550) != hAPP(hAPP(c_List_Olist_OCons(_u18548), _u18552), c_List_Olist_ONil(_u18548))) | ( _u18550 = hAPP(hAPP(c_List_Olist_OCons(_u18548), _u18552), c_List_Olist_ONil(_u18548))) )).
% 12.29/12.55 cnf(matrix-7633, plain, ( ( _u18551 != hAPP(hAPP(c_List_Olist_OCons(_u18549), _u18553), c_List_Olist_ONil(_u18549))) | ( hAPP(c_List_Orev(_u18549), _u18551) = hAPP(hAPP(c_List_Olist_OCons(_u18549), _u18553), c_List_Olist_ONil(_u18549))) )).
% 12.29/12.55 cnf(matrix-7634, plain, ( ( hAPP(c_List_Orev(_u18554), hAPP(hAPP(c_List_Oappend(_u18554), _u18555), _u18556)) = hAPP(hAPP(c_List_Oappend(_u18554), hAPP(c_List_Orev(_u18554), _u18556)), hAPP(c_List_Orev(_u18554), _u18555))) )).
% 12.29/12.55 cnf(matrix-7635, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18559), hAPP(c_List_Orev(_u18559), _u18561))) | hBOOL(hAPP(c_List_Odistinct(_u18559), _u18561)) )).
% 12.29/12.55 cnf(matrix-7636, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18560), _u18562)) | hBOOL(hAPP(c_List_Odistinct(_u18560), hAPP(c_List_Orev(_u18560), _u18562))) )).
% 12.29/12.55 cnf(matrix-7637, plain, ( ( hAPP(c_List_Orev(_u18563), c_List_Oconcat(_u18563, _u18564)) = c_List_Oconcat(_u18563, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18563), tc_List_Olist(_u18563)), c_List_Orev(_u18563)), hAPP(c_List_Orev(tc_List_Olist(_u18563)), _u18564)))) )).
% 12.29/12.55 cnf(matrix-7638, plain, ( ( hAPP(c_List_Orev(_u18565), hAPP(hAPP(c_List_Omap(_u18566, _u18565), _u18567), _u18568)) = hAPP(hAPP(c_List_Omap(_u18566, _u18565), _u18567), hAPP(c_List_Orev(_u18566), _u18568))) )).
% 12.29/12.55 cnf(matrix-7639, plain, ( ( hAPP(c_List_Orev(_u18569), hAPP(c_List_Ofilter(_u18569, _u18570), _u18571)) = hAPP(c_List_Ofilter(_u18569, _u18570), hAPP(c_List_Orev(_u18569), _u18571))) )).
% 12.29/12.55 cnf(matrix-7640, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18572)), _u18573) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18574)), _u18575)) | ( hAPP(hAPP(c_List_Ozip(_u18572, _u18574), hAPP(c_List_Orev(_u18572), _u18573)), hAPP(c_List_Orev(_u18574), _u18575)) = hAPP(c_List_Orev(tc_prod(_u18572, _u18574)), hAPP(hAPP(c_List_Ozip(_u18572, _u18574), _u18573), _u18575))) )).
% 12.29/12.55 cnf(matrix-7641, plain, ( ( hAPP(c_List_Oset(_u18576), hAPP(c_List_Orev(_u18576), _u18577)) = hAPP(c_List_Oset(_u18576), _u18577)) )).
% 12.29/12.55 cnf(matrix-7642, plain, ( ~class_Groups_Ocomm__monoid__add(_u18578) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18578), hAPP(c_List_Orev(_u18578), _u18579)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18578), _u18579)) )).
% 12.29/12.55 cnf(matrix-7643, plain, ( ( _u18585 = _u18587) | ( hAPP(c_List_Orev(_u18583), _u18585) != hAPP(c_List_Orev(_u18583), _u18587)) )).
% 12.29/12.55 cnf(matrix-7644, plain, ( ( _u18586 != _u18588) | ( hAPP(c_List_Orev(_u18584), _u18586) = hAPP(c_List_Orev(_u18584), _u18588)) )).
% 12.29/12.55 cnf(matrix-7645, plain, ( ( hAPP(c_List_Orev(_u18592), _u18594) != _u18596) | ( _u18594 = hAPP(c_List_Orev(_u18592), _u18596)) )).
% 12.29/12.55 cnf(matrix-7646, plain, ( ( _u18595 != hAPP(c_List_Orev(_u18593), _u18597)) | ( hAPP(c_List_Orev(_u18593), _u18595) = _u18597) )).
% 12.29/12.55 cnf(matrix-7647, plain, ( ( hAPP(c_List_Orev(_u18598), hAPP(c_List_Orev(_u18598), _u18599)) = _u18599) )).
% 12.29/12.55 cnf(matrix-7648, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18600)), hAPP(c_List_Orev(_u18600), _u18601)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18600)), _u18601)) )).
% 12.29/12.55 cnf(matrix-7649, plain, ( ~c_List_Olist__all2(_u18607, _u18609, _u18611, hAPP(c_List_Orev(_u18607), _u18613), _u18615) | c_List_Olist__all2(_u18607, _u18609, _u18611, _u18613, hAPP(c_List_Orev(_u18609), _u18615)) )).
% 12.29/12.55 cnf(matrix-7650, plain, ( ~c_List_Olist__all2(_u18608, _u18610, _u18612, _u18614, hAPP(c_List_Orev(_u18610), _u18616)) | c_List_Olist__all2(_u18608, _u18610, _u18612, hAPP(c_List_Orev(_u18608), _u18614), _u18616) )).
% 12.29/12.55 cnf(matrix-7651, plain, ( ~c_List_Olist__all2(_u18622, _u18624, _u18626, hAPP(c_List_Orev(_u18622), _u18628), hAPP(c_List_Orev(_u18624), _u18630)) | c_List_Olist__all2(_u18622, _u18624, _u18626, _u18628, _u18630) )).
% 12.29/12.55 cnf(matrix-7652, plain, ( ~c_List_Olist__all2(_u18623, _u18625, _u18627, _u18629, _u18631) | c_List_Olist__all2(_u18623, _u18625, _u18627, hAPP(c_List_Orev(_u18623), _u18629), hAPP(c_List_Orev(_u18625), _u18631)) )).
% 12.29/12.55 cnf(matrix-7653, plain, ( ( hAPP(c_List_Ofoldl(_u18632, _u18633, _u18634, _u18635), _u18636) = c_List_Ofoldr(_u18633, _u18632, hAPP(c_COMBC(_u18632, _u18633, _u18632), _u18634), hAPP(c_List_Orev(_u18633), _u18636), _u18635)) )).
% 12.29/12.55 cnf(matrix-7654, plain, ( ( c_List_Ofoldr(_u18637, _u18638, _u18639, _u18640, _u18641) = hAPP(c_List_Ofoldl(_u18638, _u18637, hAPP(c_COMBC(_u18637, _u18638, _u18638), _u18639), _u18641), hAPP(c_List_Orev(_u18637), _u18640))) )).
% 12.29/12.55 cnf(matrix-7655, plain, ( ( hAPP(c_List_Orev(_u18642), hAPP(hAPP(c_List_Olist_OCons(_u18642), _u18643), _u18644)) = hAPP(hAPP(c_List_Oappend(_u18642), hAPP(c_List_Orev(_u18642), _u18644)), hAPP(hAPP(c_List_Olist_OCons(_u18642), _u18643), c_List_Olist_ONil(_u18642)))) )).
% 12.29/12.55 cnf(matrix-7656, plain, ( ( hAPP(c_List_Orev(_u18649), _u18651) != hAPP(hAPP(c_List_Olist_OCons(_u18649), _u18653), _u18655)) | ( _u18651 = hAPP(hAPP(c_List_Oappend(_u18649), hAPP(c_List_Orev(_u18649), _u18655)), hAPP(hAPP(c_List_Olist_OCons(_u18649), _u18653), c_List_Olist_ONil(_u18649)))) )).
% 12.29/12.55 cnf(matrix-7657, plain, ( ( _u18652 != hAPP(hAPP(c_List_Oappend(_u18650), hAPP(c_List_Orev(_u18650), _u18656)), hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18654), c_List_Olist_ONil(_u18650)))) | ( hAPP(c_List_Orev(_u18650), _u18652) = hAPP(hAPP(c_List_Olist_OCons(_u18650), _u18654), _u18656)) )).
% 12.29/12.55 cnf(matrix-7658, plain, ( ( _u18657 = c_List_Olist_ONil(_u18658)) | ( c_List_Olast(_u18658, hAPP(c_List_Orev(_u18658), _u18657)) = hAPP(c_List_Ohd(_u18658), _u18657)) )).
% 12.29/12.55 cnf(matrix-7659, plain, ( ( _u18659 = c_List_Olist_ONil(_u18660)) | ( hAPP(c_List_Ohd(_u18660), hAPP(c_List_Orev(_u18660), _u18659)) = c_List_Olast(_u18660, _u18659)) )).
% 12.29/12.55 cnf(matrix-7660, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18661), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18661))), c_List_Otranspose(_u18661, _u18662)))) )).
% 12.29/12.55 cnf(matrix-7661, plain, ( ( hAPP(c_List_Orev(_u18663), _u18664) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18663), _u18663, hAPP(c_COMBC(_u18663, tc_List_Olist(_u18663), tc_List_Olist(_u18663)), c_List_Olist_OCons(_u18663)), c_List_Olist_ONil(_u18663)), _u18664)) )).
% 12.29/12.55 cnf(matrix-7662, plain, ( ( hAPP(c_List_Orev(_u18665), hAPP(hAPP(c_List_Odrop(_u18665), _u18666), _u18667)) = hAPP(hAPP(c_List_Otake(_u18665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18665)), _u18667)), _u18666)), hAPP(c_List_Orev(_u18665), _u18667))) )).
% 12.29/12.55 cnf(matrix-7663, plain, ( ( hAPP(c_List_Orev(_u18668), hAPP(hAPP(c_List_Otake(_u18668), _u18669), _u18670)) = hAPP(hAPP(c_List_Odrop(_u18668), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18668)), _u18670)), _u18669)), hAPP(c_List_Orev(_u18668), _u18670))) )).
% 12.29/12.55 cnf(matrix-7664, plain, ( ( hAPP(c_List_Orotate(_u18671, _u18672), hAPP(c_List_Orev(_u18671), _u18673)) = hAPP(c_List_Orev(_u18671), hAPP(c_List_Orotate(_u18671, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18671)), _u18673)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18672, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18671)), _u18673)))), _u18673))) )).
% 12.29/12.55 cnf(matrix-7665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18674), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18675)), _u18676))) | ( hAPP(hAPP(c_List_Onth(_u18675), hAPP(c_List_Orev(_u18675), _u18676)), _u18674) = hAPP(hAPP(c_List_Onth(_u18675), _u18676), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18675)), _u18676)), hAPP(c_Nat_OSuc, _u18674)))) )).
% 12.29/12.55 cnf(matrix-7666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18677), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18678)), _u18679))) | ( hAPP(c_List_Orev(_u18678), hAPP(hAPP(c_List_Olist__update(_u18678, _u18679), _u18677), _u18680)) = hAPP(hAPP(c_List_Olist__update(_u18678, hAPP(c_List_Orev(_u18678), _u18679)), 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(_u18678)), _u18679)), _u18677)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18680)) )).
% 12.29/12.55 cnf(matrix-7667, plain, ( ~class_Orderings_Olinorder(_u18681) | ~c_List_Olinorder__class_Osorted(_u18681, hAPP(c_List_Orev(_u18681), _u18682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18683), _u18684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18684), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18681)), _u18682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18681), hAPP(hAPP(c_List_Onth(_u18681), _u18682), _u18684)), hAPP(hAPP(c_List_Onth(_u18681), _u18682), _u18683))) )).
% 12.29/12.55 cnf(matrix-7668, plain, ( ~class_Orderings_Olinorder(_u18685) | ~c_List_Olinorder__class_Osorted(_u18685, hAPP(c_List_Orev(_u18685), _u18686)) | ( _u18686 != c_List_Olist_ONil(_u18685)) | ( c_List_Ofoldr(_u18685, _u18685, c_Orderings_Oord__class_Omax(_u18685), _u18686, _u18687) = _u18687) )).
% 12.29/12.55 cnf(matrix-7669, plain, ( ~class_Orderings_Olinorder(_u18685) | ~c_List_Olinorder__class_Osorted(_u18685, hAPP(c_List_Orev(_u18685), _u18686)) | ( _u18686 = c_List_Olist_ONil(_u18685)) | ( c_List_Ofoldr(_u18685, _u18685, c_Orderings_Oord__class_Omax(_u18685), _u18686, _u18687) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18685), hAPP(hAPP(c_List_Onth(_u18685), _u18686), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18687)) )).
% 12.29/12.55 cnf(matrix-7670, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18688), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18688))), _u18689))) | ( _u18689 != c_List_Olist_ONil(tc_List_Olist(_u18688))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18688))), c_List_Otranspose(_u18688, _u18689)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7671, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18688), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18688))), _u18689))) | ( _u18689 = c_List_Olist_ONil(tc_List_Olist(_u18688))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18688))), c_List_Otranspose(_u18688, _u18689)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18688)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18688)), _u18689), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-7672, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18690), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18690))), _u18691))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18692), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18690))), _u18691))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18690))), hAPP(c_List_Ofilter(tc_List_Olist(_u18690), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18690)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18692)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)))), c_List_Otranspose(_u18690, _u18691))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18690)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18690)), _u18691), _u18692))) )).
% 12.29/12.55 cnf(matrix-7673, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18693), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18693))), _u18694))) | ( c_List_Otranspose(_u18693, c_List_Otranspose(_u18693, _u18694)) = c_List_OtakeWhile(tc_List_Olist(_u18693), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18693)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18693), tc_List_Olist(_u18693), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18693))), _u18694)) )).
% 12.29/12.55 cnf(matrix-7674, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 12.29/12.55 cnf(matrix-7675, plain, ( ~class_Orderings_Olinorder(_u18695) | ~c_List_Olinorder__class_Osorted(_u18695, _u18696) | c_List_Olinorder__class_Osorted(_u18695, c_List_OtakeWhile(_u18695, _u18697, _u18696)) )).
% 12.29/12.55 cnf(matrix-7676, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18698)), c_List_OtakeWhile(_u18698, _u18699, _u18700))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18698)), _u18700))) )).
% 12.29/12.55 cnf(matrix-7677, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18701), _u18702), hAPP(c_List_Oset(_u18701), c_List_OtakeWhile(_u18701, _u18703, _u18704)))) | hBOOL(hAPP(hAPP(c_member(_u18701), _u18702), hAPP(c_List_Oset(_u18701), _u18704))) )).
% 12.29/12.55 cnf(matrix-7678, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18701), _u18702), hAPP(c_List_Oset(_u18701), c_List_OtakeWhile(_u18701, _u18703, _u18704)))) | hBOOL(hAPP(_u18703, _u18702)) )).
% 12.29/12.55 cnf(matrix-7679, plain, ( ( c_List_OtakeWhile(_u18710, _u18712, _u18714) != _u18714) | ~hBOOL(hAPP(hAPP(c_member(_u18710), _u18705), hAPP(c_List_Oset(_u18710), _u18714))) | hBOOL(hAPP(_u18712, _u18705)) )).
% 12.29/12.55 cnf(matrix-7680, plain, ( ( c_List_OtakeWhile(_u18711, _u18713, _u18715) = _u18715) | hBOOL(hAPP(hAPP(c_member(_u18711), skolem484(_u18715, _u18713, _u18711)), hAPP(c_List_Oset(_u18711), _u18715))) )).
% 12.29/12.55 cnf(matrix-7681, plain, ( ( c_List_OtakeWhile(_u18711, _u18713, _u18715) = _u18715) | ~hBOOL(hAPP(_u18713, skolem484(_u18715, _u18713, _u18711))) )).
% 12.29/12.55 cnf(matrix-7682, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18716, _u18717), c_List_OtakeWhile(_u18716, _u18718, _u18719)), _u18720) = c_List_OtakeWhile(tc_prod(_u18716, _u18717), hAPP(c_Fun_Ocomp(_u18716, tc_HOL_Obool, tc_prod(_u18716, _u18717), _u18718), c_Product__Type_Ofst(_u18716, _u18717)), hAPP(hAPP(c_List_Ozip(_u18716, _u18717), _u18719), _u18720))) )).
% 12.29/12.55 cnf(matrix-7683, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18721, _u18722), _u18723), c_List_OtakeWhile(_u18722, _u18724, _u18725)) = c_List_OtakeWhile(tc_prod(_u18721, _u18722), hAPP(c_Fun_Ocomp(_u18722, tc_HOL_Obool, tc_prod(_u18721, _u18722), _u18724), c_Product__Type_Osnd(_u18721, _u18722)), hAPP(hAPP(c_List_Ozip(_u18721, _u18722), _u18723), _u18725))) )).
% 12.29/12.55 cnf(matrix-7684, plain, ( ( c_List_OtakeWhile(_u18726, _u18727, hAPP(hAPP(c_List_Omap(_u18728, _u18726), _u18729), _u18730)) = hAPP(hAPP(c_List_Omap(_u18728, _u18726), _u18729), c_List_OtakeWhile(_u18728, hAPP(c_Fun_Ocomp(_u18726, tc_HOL_Obool, _u18728, _u18727), _u18729), _u18730))) )).
% 12.29/12.55 cnf(matrix-7685, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18731), _u18732)) | hBOOL(hAPP(c_List_Odistinct(_u18731), c_List_OtakeWhile(_u18731, _u18733, _u18732))) )).
% 12.29/12.55 cnf(matrix-7686, plain, ( hBOOL(hAPP(_u18734, _u18735)) | ( c_List_OtakeWhile(_u18736, _u18734, hAPP(hAPP(c_List_Oappend(_u18736), _u18737), hAPP(hAPP(c_List_Olist_OCons(_u18736), _u18735), _u18738))) = c_List_OtakeWhile(_u18736, _u18734, _u18737)) )).
% 12.29/12.55 cnf(matrix-7687, plain, ( ~hBOOL(hAPP(_u18743, _u18745)) | ( c_List_OtakeWhile(_u18747, _u18743, hAPP(hAPP(c_List_Olist_OCons(_u18747), _u18745), _u18749)) = hAPP(hAPP(c_List_Olist_OCons(_u18747), _u18745), c_List_OtakeWhile(_u18747, _u18743, _u18749))) )).
% 12.29/12.55 cnf(matrix-7688, plain, ( hBOOL(hAPP(_u18744, _u18746)) | ( c_List_OtakeWhile(_u18748, _u18744, hAPP(hAPP(c_List_Olist_OCons(_u18748), _u18746), _u18750)) = c_List_Olist_ONil(_u18748)) )).
% 12.29/12.55 cnf(matrix-7689, plain, ( ( c_List_OtakeWhile(_u18751, _u18752, _u18753) = hAPP(hAPP(c_List_Otake(_u18751), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18751)), c_List_OtakeWhile(_u18751, _u18752, _u18753))), _u18753)) )).
% 12.29/12.55 cnf(matrix-7690, plain, ( ( c_List_OtakeWhile(_u18754, _u18755, c_List_Olist_ONil(_u18754)) = c_List_Olist_ONil(_u18754)) )).
% 12.29/12.55 cnf(matrix-7691, plain, ( ( c_List_Oreturn__list(_u18756) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18756)) )).
% 12.29/12.55 cnf(matrix-7692, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18757), _u18758), hAPP(c_List_Oset(_u18757), _u18759))) | hBOOL(hAPP(_u18760, _u18758)) | ( c_List_OtakeWhile(_u18757, _u18760, hAPP(hAPP(c_List_Oappend(_u18757), _u18759), _u18761)) = c_List_OtakeWhile(_u18757, _u18760, _u18759)) )).
% 12.29/12.55 cnf(matrix-7693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18762), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18763)), c_List_OtakeWhile(_u18763, _u18764, _u18765)))) | ( hAPP(hAPP(c_List_Onth(_u18763), c_List_OtakeWhile(_u18763, _u18764, _u18765)), _u18762) = hAPP(hAPP(c_List_Onth(_u18763), _u18765), _u18762)) )).
% 12.29/12.55 cnf(matrix-7694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18766)), c_List_OtakeWhile(_u18766, _u18767, _u18768))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18766)), _u18768))) | ~hBOOL(hAPP(_u18767, hAPP(hAPP(c_List_Onth(_u18766), _u18768), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18766)), c_List_OtakeWhile(_u18766, _u18767, _u18768))))) )).
% 12.29/12.55 cnf(matrix-7695, plain, ( ( _u18769 = c_List_Olist_ONil(_u18770)) | ~hBOOL(hAPP(c_List_Odistinct(_u18770), _u18769)) | ( c_List_OtakeWhile(_u18770, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18770), c_fNot), hAPP(hAPP(c_COMBC(_u18770, _u18770, tc_HOL_Obool), c_fequal), c_List_Olast(_u18770, _u18769))), _u18769) = c_List_Obutlast(_u18770, _u18769)) )).
% 12.29/12.55 cnf(matrix-7696, plain, ( ~class_Orderings_Olinorder(_u18771) | ~c_List_Olinorder__class_Osorted(_u18771, hAPP(c_List_Orev(_u18771), hAPP(hAPP(c_List_Omap(_u18772, _u18771), _u18773), _u18774))) | ( hAPP(c_List_Ofilter(_u18772, hAPP(hAPP(c_COMBB(_u18771, tc_HOL_Obool, _u18772), hAPP(c_Orderings_Oord__class_Oless(_u18771), _u18775)), _u18773)), _u18774) = c_List_OtakeWhile(_u18772, hAPP(hAPP(c_COMBB(_u18771, tc_HOL_Obool, _u18772), hAPP(c_Orderings_Oord__class_Oless(_u18771), _u18775)), _u18773), _u18774)) )).
% 12.29/12.55 cnf(matrix-7697, plain, ( ~c_List_Onat__list(_u18776) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18776)) = _u18776) )).
% 12.29/12.55 cnf(matrix-7698, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18777), _u18778) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18777)), c_List_Oembed__list(_u18778)))) )).
% 12.29/12.55 cnf(matrix-7699, plain, ( ( c_List_Oembed__list(_u18779) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18779)) )).
% 12.29/12.55 cnf(matrix-7700, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18780), _u18781)) | ~hBOOL(hAPP(hAPP(c_member(_u18780), _u18782), hAPP(c_List_Oset(_u18780), _u18781))) | ( c_List_OtakeWhile(_u18780, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18780), c_fNot), hAPP(hAPP(c_COMBC(_u18780, _u18780, tc_HOL_Obool), c_fequal), _u18782)), hAPP(c_List_Orev(_u18780), _u18781)) = hAPP(c_List_Orev(_u18780), hAPP(c_List_Otl(_u18780), c_List_OdropWhile(_u18780, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18780), c_fNot), hAPP(hAPP(c_COMBC(_u18780, _u18780, tc_HOL_Obool), c_fequal), _u18782)), _u18781)))) )).
% 12.29/12.55 cnf(matrix-7701, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18783), _u18784)) | ~hBOOL(hAPP(hAPP(c_member(_u18783), _u18785), hAPP(c_List_Oset(_u18783), _u18784))) | ( c_List_OdropWhile(_u18783, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18783), c_fNot), hAPP(hAPP(c_COMBC(_u18783, _u18783, tc_HOL_Obool), c_fequal), _u18785)), hAPP(c_List_Orev(_u18783), _u18784)) = hAPP(hAPP(c_List_Olist_OCons(_u18783), _u18785), hAPP(c_List_Orev(_u18783), c_List_OtakeWhile(_u18783, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18783), c_fNot), hAPP(hAPP(c_COMBC(_u18783, _u18783, tc_HOL_Obool), c_fequal), _u18785)), _u18784)))) )).
% 12.29/12.55 cnf(matrix-7702, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18786), c_List_OtakeWhile(_u18786, _u18787, _u18788)), c_List_OdropWhile(_u18786, _u18787, _u18788)) = _u18788) )).
% 12.29/12.55 cnf(matrix-7703, plain, ( ~class_Orderings_Olinorder(_u18789) | ~c_List_Olinorder__class_Osorted(_u18789, _u18790) | c_List_Olinorder__class_Osorted(_u18789, c_List_OdropWhile(_u18789, _u18791, _u18790)) )).
% 12.29/12.55 cnf(matrix-7704, plain, ( ( c_List_OdropWhile(_u18792, _u18793, _u18794) = c_List_Olist_ONil(_u18792)) | ~hBOOL(hAPP(_u18793, hAPP(c_List_Ohd(_u18792), c_List_OdropWhile(_u18792, _u18793, _u18794)))) )).
% 12.29/12.55 cnf(matrix-7705, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18795)), c_List_OdropWhile(_u18795, _u18796, _u18797))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18795)), _u18797))) )).
% 12.29/12.55 cnf(matrix-7706, plain, ( ( c_List_OdropWhile(_u18803, _u18805, _u18807) != c_List_Olist_ONil(_u18803)) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | hBOOL(hAPP(_u18805, _u18798)) )).
% 12.29/12.55 cnf(matrix-7707, plain, ( ( c_List_OdropWhile(_u18804, _u18806, _u18808) = c_List_Olist_ONil(_u18804)) | hBOOL(hAPP(hAPP(c_member(_u18804), skolem485(_u18808, _u18806, _u18804)), hAPP(c_List_Oset(_u18804), _u18808))) )).
% 12.29/12.55 cnf(matrix-7708, plain, ( ( c_List_OdropWhile(_u18804, _u18806, _u18808) = c_List_Olist_ONil(_u18804)) | ~hBOOL(hAPP(_u18806, skolem485(_u18808, _u18806, _u18804))) )).
% 12.29/12.55 cnf(matrix-7709, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18809), _u18810)) | hBOOL(hAPP(c_List_Odistinct(_u18809), c_List_OdropWhile(_u18809, _u18811, _u18810))) )).
% 12.29/12.55 cnf(matrix-7710, plain, ( ~hBOOL(hAPP(_u18816, _u18818)) | ( c_List_OdropWhile(_u18820, _u18816, hAPP(hAPP(c_List_Olist_OCons(_u18820), _u18818), _u18822)) = c_List_OdropWhile(_u18820, _u18816, _u18822)) )).
% 12.29/12.55 cnf(matrix-7711, plain, ( hBOOL(hAPP(_u18817, _u18819)) | ( c_List_OdropWhile(_u18821, _u18817, hAPP(hAPP(c_List_Olist_OCons(_u18821), _u18819), _u18823)) = hAPP(hAPP(c_List_Olist_OCons(_u18821), _u18819), _u18823)) )).
% 12.29/12.55 cnf(matrix-7712, plain, ( ( c_List_OdropWhile(_u18824, _u18825, c_List_Olist_ONil(_u18824)) = c_List_Olist_ONil(_u18824)) )).
% 12.29/12.55 cnf(matrix-7713, plain, ( ( c_List_OdropWhile(_u18826, _u18827, hAPP(hAPP(c_List_Omap(_u18828, _u18826), _u18829), _u18830)) = hAPP(hAPP(c_List_Omap(_u18828, _u18826), _u18829), c_List_OdropWhile(_u18828, hAPP(c_Fun_Ocomp(_u18826, tc_HOL_Obool, _u18828, _u18827), _u18829), _u18830))) )).
% 12.29/12.55 cnf(matrix-7714, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18831), _u18832), hAPP(c_List_Oset(_u18831), _u18833))) | hBOOL(hAPP(_u18834, _u18832)) | ( c_List_OdropWhile(_u18831, _u18834, hAPP(hAPP(c_List_Oappend(_u18831), _u18833), _u18835)) = hAPP(hAPP(c_List_Oappend(_u18831), c_List_OdropWhile(_u18831, _u18834, _u18833)), _u18835)) )).
% 12.29/12.55 cnf(matrix-7715, plain, ( ( c_List_OdropWhile(_u18841, _u18843, _u18845) != hAPP(hAPP(c_List_Olist_OCons(_u18841), _u18847), _u18849)) | ( _u18845 = hAPP(hAPP(c_List_Oappend(_u18841), c_List_OtakeWhile(_u18841, _u18843, _u18845)), hAPP(hAPP(c_List_Olist_OCons(_u18841), _u18847), _u18849))) )).
% 12.29/12.55 cnf(matrix-7716, plain, ( ( c_List_OdropWhile(_u18841, _u18843, _u18845) != hAPP(hAPP(c_List_Olist_OCons(_u18841), _u18847), _u18849)) | ~hBOOL(hAPP(_u18843, _u18847)) )).
% 12.29/12.55 cnf(matrix-7717, plain, ( ( _u18846 != hAPP(hAPP(c_List_Oappend(_u18842), c_List_OtakeWhile(_u18842, _u18844, _u18846)), hAPP(hAPP(c_List_Olist_OCons(_u18842), _u18848), _u18850))) | hBOOL(hAPP(_u18844, _u18848)) | ( c_List_OdropWhile(_u18842, _u18844, _u18846) = hAPP(hAPP(c_List_Olist_OCons(_u18842), _u18848), _u18850)) )).
% 12.29/12.55 cnf(matrix-7718, plain, ( ( c_List_OdropWhile(_u18851, _u18852, _u18853) = hAPP(hAPP(c_List_Odrop(_u18851), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18851)), c_List_OtakeWhile(_u18851, _u18852, _u18853))), _u18853)) )).
% 12.29/12.55 cnf(matrix-7719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18854), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18855)), c_List_OdropWhile(_u18855, _u18856, _u18857)))) | ( hAPP(hAPP(c_List_Onth(_u18855), c_List_OdropWhile(_u18855, _u18856, _u18857)), _u18854) = hAPP(hAPP(c_List_Onth(_u18855), _u18857), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18854), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18855)), c_List_OtakeWhile(_u18855, _u18856, _u18857))))) )).
% 12.29/12.55 cnf(matrix-7720, plain, ( ~class_Groups_Omonoid__add(_u18859) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), hAPP(c_List_Ofilter(_u18860, _u18862), _u18861))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), _u18861))) | hBOOL(hAPP(hAPP(c_member(_u18860), skolem486(_u18863, _u18862, _u18861, _u18860, _u18859)), hAPP(c_List_Oset(_u18860), _u18861))) )).
% 12.29/12.55 cnf(matrix-7721, plain, ( ~class_Groups_Omonoid__add(_u18859) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), hAPP(c_List_Ofilter(_u18860, _u18862), _u18861))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), _u18861))) | ~hBOOL(hAPP(_u18862, skolem486(_u18863, _u18862, _u18861, _u18860, _u18859))) )).
% 12.29/12.55 cnf(matrix-7722, plain, ( ~class_Groups_Omonoid__add(_u18859) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), hAPP(c_List_Ofilter(_u18860, _u18862), _u18861))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18859), hAPP(hAPP(c_List_Omap(_u18860, _u18859), _u18863), _u18861))) | ( hAPP(_u18863, skolem486(_u18863, _u18862, _u18861, _u18860, _u18859)) != c_Groups_Ozero__class_Ozero(_u18859)) )).
% 12.29/12.55 cnf(matrix-7723, plain, ( ~class_Orderings_Olinorder(_u18866) | c_List_Olinorder__class_Osorted(_u18866, _u18867) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem487(_u18867, _u18866)), skolem488(_u18867, _u18866))) )).
% 12.29/12.55 cnf(matrix-7724, plain, ( ~class_Orderings_Olinorder(_u18866) | c_List_Olinorder__class_Osorted(_u18866, _u18867) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u18867, _u18866)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18866)), _u18867))) )).
% 12.29/12.55 cnf(matrix-7725, plain, ( ~class_Orderings_Olinorder(_u18866) | c_List_Olinorder__class_Osorted(_u18866, _u18867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18866), hAPP(hAPP(c_List_Onth(_u18866), _u18867), skolem487(_u18867, _u18866))), hAPP(hAPP(c_List_Onth(_u18866), _u18867), skolem488(_u18867, _u18866)))) )).
% 12.29/12.55 cnf(matrix-7726, plain, ( ( c_List_OtakeWhile(_u18869, _u18870, _u18871) = hAPP(c_List_Ofilter(_u18869, _u18870), _u18871)) | hBOOL(hAPP(hAPP(c_member(_u18869), skolem489(_u18871, _u18870, _u18869)), hAPP(c_List_Oset(_u18869), c_List_OdropWhile(_u18869, _u18870, _u18871)))) )).
% 12.29/12.55 cnf(matrix-7727, plain, ( ( c_List_OtakeWhile(_u18869, _u18870, _u18871) = hAPP(c_List_Ofilter(_u18869, _u18870), _u18871)) | hBOOL(hAPP(_u18870, skolem489(_u18871, _u18870, _u18869))) )).
% 12.29/12.55 cnf(matrix-7728, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), _u18873)) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) )).
% 12.29/12.55 cnf(matrix-7729, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), _u18873)) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), _u18873))) )).
% 12.29/12.55 cnf(matrix-7730, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) )).
% 12.29/12.55 cnf(matrix-7731, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem490(_u18876, _u18875, _u18874, _u18873)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), _u18873))) )).
% 12.29/12.55 cnf(matrix-7732, plain, ( ~hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), skolem490(_u18876, _u18875, _u18874, _u18873)))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18873), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18874)), _u18875))) )).
% 12.29/12.55 cnf(matrix-7733, plain, ( ~hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), skolem490(_u18876, _u18875, _u18874, _u18873)))) | ( c_List_OtakeWhile(_u18874, _u18876, _u18875) = hAPP(hAPP(c_List_Otake(_u18874), _u18873), _u18875)) | hBOOL(hAPP(_u18876, hAPP(hAPP(c_List_Onth(_u18874), _u18875), _u18873))) )).
% 12.29/12.55 cnf(matrix-7734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), _u18881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), c_List_OtakeWhile(_u18880, _u18879, _u18881)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem491(_u18881, _u18880, _u18879, _u18878)), _u18878)) )).
% 12.29/12.55 cnf(matrix-7735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), _u18881))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18878), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18880)), c_List_OtakeWhile(_u18880, _u18879, _u18881)))) | ~hBOOL(hAPP(_u18879, hAPP(hAPP(c_List_Onth(_u18880), _u18881), skolem491(_u18881, _u18880, _u18879, _u18878)))) )).
% 12.29/12.55 cnf(matrix-7736, plain, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 = c_List_Olist_ONil(_u18888)) | c_List_Olinorder__class_Osorted(_u18888, skolem492(_u18889, _u18888)) )).
% 12.29/12.55 cnf(matrix-7737, plain, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 = c_List_Olist_ONil(_u18888)) | ( _u18889 = hAPP(hAPP(c_List_Olist_OCons(_u18888), skolem493(_u18889, _u18888)), skolem492(_u18889, _u18888))) )).
% 12.29/12.55 cnf(matrix-7738, plain, ( ~class_Orderings_Olinorder(_u18888) | ~c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 = c_List_Olist_ONil(_u18888)) | ~hBOOL(hAPP(hAPP(c_member(_u18888), _u18882), hAPP(c_List_Oset(_u18888), skolem492(_u18889, _u18888)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18888), skolem493(_u18889, _u18888)), _u18882)) )).
% 12.29/12.55 cnf(matrix-7739, plain, ( ~class_Orderings_Olinorder(_u18888) | c_List_Olinorder__class_Osorted(_u18888, _u18889) | ( _u18889 != c_List_Olist_ONil(_u18888)) )).
% 12.29/12.55 cnf(matrix-7740, plain, ( ~class_Orderings_Olinorder(_u18888) | c_List_Olinorder__class_Osorted(_u18888, _u18889) | ~c_List_Olinorder__class_Osorted(_u18888, _u18887) | ( _u18889 != hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18886), _u18887)) | hBOOL(hAPP(hAPP(c_member(_u18888), skolem494(_u18889, _u18888, _u18887, _u18886)), hAPP(c_List_Oset(_u18888), _u18887))) )).
% 12.29/12.55 cnf(matrix-7741, plain, ( ~class_Orderings_Olinorder(_u18888) | c_List_Olinorder__class_Osorted(_u18888, _u18889) | ~c_List_Olinorder__class_Osorted(_u18888, _u18887) | ( _u18889 != hAPP(hAPP(c_List_Olist_OCons(_u18888), _u18886), _u18887)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18888), _u18886), skolem494(_u18889, _u18888, _u18887, _u18886))) )).
% 12.29/12.55 cnf(matrix-7742, plain, ( ~c_Fun_Oinj__on(_u18890, _u18891, _u18892, hAPP(hAPP(c_Set_Oinsert(_u18890), _u18893), hAPP(c_List_Oset(_u18890), _u18894))) | ( hAPP(hAPP(c_List_Omap(_u18890, _u18891), _u18892), hAPP(c_List_OremoveAll(_u18890, _u18893), _u18894)) = hAPP(c_List_OremoveAll(_u18891, hAPP(_u18892, _u18893)), hAPP(hAPP(c_List_Omap(_u18890, _u18891), _u18892), _u18894))) )).
% 12.29/12.55 cnf(matrix-7743, plain, ( hBOOL(hAPP(hAPP(c_member(_u18895), _u18896), hAPP(c_List_Oset(_u18895), _u18897))) | ( c_List_Oinsert(_u18895, _u18896, _u18897) = hAPP(hAPP(c_List_Olist_OCons(_u18895), _u18896), _u18897)) )).
% 12.29/12.55 cnf(matrix-7744, plain, ( ( hAPP(c_List_OremoveAll(_u18898, _u18899), hAPP(hAPP(c_List_Oappend(_u18898), _u18900), _u18901)) = hAPP(hAPP(c_List_Oappend(_u18898), hAPP(c_List_OremoveAll(_u18898, _u18899), _u18900)), hAPP(c_List_OremoveAll(_u18898, _u18899), _u18901))) )).
% 12.29/12.55 cnf(matrix-7745, plain, ( ( c_List_Oinsert(_u18902, _u18903, c_List_Oremdups(_u18902, _u18904)) = c_List_Oremdups(_u18902, c_List_Oinsert(_u18902, _u18903, _u18904))) )).
% 12.29/12.55 cnf(matrix-7746, plain, ( ( c_List_OremoveAll(_u18905, _u18906) = c_List_Ofilter(_u18905, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18905), c_fNot), hAPP(c_fequal, _u18906)))) )).
% 12.29/12.55 cnf(matrix-7747, plain, ( hBOOL(hAPP(_u18907, _u18908)) | ( hAPP(c_List_OremoveAll(_u18909, _u18908), hAPP(c_List_Ofilter(_u18909, _u18907), _u18910)) = hAPP(c_List_Ofilter(_u18909, _u18907), _u18910)) )).
% 12.29/12.55 cnf(matrix-7748, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18911), _u18912)) | hBOOL(hAPP(c_List_Odistinct(_u18911), c_List_Oinsert(_u18911, _u18913, _u18912))) )).
% 12.29/12.55 cnf(matrix-7749, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18914), _u18915)) | hBOOL(hAPP(c_List_Odistinct(_u18914), hAPP(c_List_OremoveAll(_u18914, _u18916), _u18915))) )).
% 12.29/12.55 cnf(matrix-7750, plain, ( ( _u18921 != _u18923) | ( hAPP(c_List_OremoveAll(_u18925, _u18921), hAPP(hAPP(c_List_Olist_OCons(_u18925), _u18923), _u18927)) = hAPP(c_List_OremoveAll(_u18925, _u18921), _u18927)) )).
% 12.29/12.55 cnf(matrix-7751, plain, ( ( _u18922 = _u18924) | ( hAPP(c_List_OremoveAll(_u18926, _u18922), hAPP(hAPP(c_List_Olist_OCons(_u18926), _u18924), _u18928)) = hAPP(hAPP(c_List_Olist_OCons(_u18926), _u18924), hAPP(c_List_OremoveAll(_u18926, _u18922), _u18928))) )).
% 12.29/12.55 cnf(matrix-7752, plain, ( ( hAPP(c_List_OremoveAll(_u18929, _u18930), c_List_Olist_ONil(_u18929)) = c_List_Olist_ONil(_u18929)) )).
% 12.29/12.55 cnf(matrix-7753, plain, ( hBOOL(hAPP(hAPP(c_member(_u18931), _u18932), hAPP(c_List_Oset(_u18931), _u18933))) | ( hAPP(c_List_OremoveAll(_u18931, _u18932), _u18933) = _u18933) )).
% 12.29/12.55 cnf(matrix-7754, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18934), _u18935)) | ( c_List_Oremove1(_u18934, _u18936, _u18935) = hAPP(c_List_OremoveAll(_u18934, _u18936), _u18935)) )).
% 12.29/12.55 cnf(matrix-7755, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18937), _u18938), hAPP(c_List_Oset(_u18937), _u18939))) | ( c_List_Oinsert(_u18937, _u18938, _u18939) = _u18939) )).
% 12.29/12.55 cnf(matrix-7756, plain, ( ( hAPP(c_List_Oset(_u18940), c_List_Oinsert(_u18940, _u18941, _u18942)) = hAPP(hAPP(c_Set_Oinsert(_u18940), _u18941), hAPP(c_List_Oset(_u18940), _u18942))) )).
% 12.29/12.55 cnf(matrix-7757, plain, ( ( c_List_Oinsert(_u18943, _u18944, c_List_Olist_ONil(_u18943)) = hAPP(hAPP(c_List_Olist_OCons(_u18943), _u18944), c_List_Olist_ONil(_u18943))) )).
% 12.29/12.55 cnf(matrix-7758, plain, ( ~c_Fun_Oinj__on(_u18945, _u18946, _u18947, c_Orderings_Otop__class_Otop(tc_fun(_u18945, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u18945, _u18946), _u18947), hAPP(c_List_OremoveAll(_u18945, _u18948), _u18949)) = hAPP(c_List_OremoveAll(_u18946, hAPP(_u18947, _u18948)), hAPP(hAPP(c_List_Omap(_u18945, _u18946), _u18947), _u18949))) )).
% 12.29/12.55 cnf(matrix-7759, plain, ( ( hAPP(c_List_Oset(_u18950), hAPP(c_List_OremoveAll(_u18950, _u18951), _u18952)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18950, tc_HOL_Obool)), hAPP(c_List_Oset(_u18950), _u18952)), hAPP(hAPP(c_Set_Oinsert(_u18950), _u18951), c_Orderings_Obot__class_Obot(tc_fun(_u18950, tc_HOL_Obool))))) )).
% 12.29/12.55 cnf(matrix-7760, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18956), _u18958), hAPP(c_List_Oset(_u18956), _u18960))) | ( c_List_Oinsert(_u18956, _u18958, _u18960) = _u18960) )).
% 12.29/12.55 cnf(matrix-7761, plain, ( hBOOL(hAPP(hAPP(c_member(_u18957), _u18959), hAPP(c_List_Oset(_u18957), _u18961))) | ( c_List_Oinsert(_u18957, _u18959, _u18961) = hAPP(hAPP(c_List_Olist_OCons(_u18957), _u18959), _u18961)) )).
% 12.29/12.55 cnf(matrix-7762, plain, ( ( c_List_Omaps(_u18962, _u18963, _u18964, _u18965) = c_List_Oconcat(_u18963, hAPP(hAPP(c_List_Omap(_u18962, tc_List_Olist(_u18963)), _u18964), _u18965))) )).
% 12.29/12.55 cnf(matrix-7763, plain, ( ( c_List_Oconcat(_u18966, hAPP(hAPP(c_List_Omap(_u18967, tc_List_Olist(_u18966)), _u18968), _u18969)) = c_List_Omaps(_u18967, _u18966, _u18968, _u18969)) )).
% 12.29/12.55 cnf(matrix-7764, plain, ( ( c_List_Omaps(_u18970, _u18971, _u18972, c_List_Olist_ONil(_u18970)) = c_List_Olist_ONil(_u18971)) )).
% 12.29/12.55 cnf(matrix-7765, plain, ( ( c_List_Omaps(_u18973, _u18974, _u18975, hAPP(hAPP(c_List_Olist_OCons(_u18973), _u18976), _u18977)) = hAPP(hAPP(c_List_Oappend(_u18974), hAPP(_u18975, _u18976)), c_List_Omaps(_u18973, _u18974, _u18975, _u18977))) )).
% 12.29/12.55 cnf(matrix-7766, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem496(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.55 cnf(matrix-7767, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem497(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.55 cnf(matrix-7768, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( skolem496(_u18982, _u18981) != skolem497(_u18982, _u18981)) )).
% 12.29/12.55 cnf(matrix-7769, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem495(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18981, tc_HOL_Obool)), hAPP(c_List_Oset(_u18981), skolem496(_u18982, _u18981))), hAPP(c_List_Oset(_u18981), skolem497(_u18982, _u18981))) != c_Orderings_Obot__class_Obot(tc_fun(_u18981, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7770, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem496(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.55 cnf(matrix-7771, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18981)), skolem497(_u18982, _u18981)), hAPP(c_List_Oset(tc_List_Olist(_u18981)), _u18982))) )).
% 12.29/12.55 cnf(matrix-7772, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( skolem496(_u18982, _u18981) != skolem497(_u18982, _u18981)) )).
% 12.29/12.55 cnf(matrix-7773, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18981)), _u18982)) | ~hBOOL(hAPP(c_List_Odistinct(_u18981), skolem495(_u18982, _u18981))) | hBOOL(hAPP(c_List_Odistinct(_u18981), c_List_Oconcat(_u18981, _u18982))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18981, tc_HOL_Obool)), hAPP(c_List_Oset(_u18981), skolem496(_u18982, _u18981))), hAPP(c_List_Oset(_u18981), skolem497(_u18982, _u18981))) != c_Orderings_Obot__class_Obot(tc_fun(_u18981, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18983, _u18984)), hAPP(_u18983, _u18985))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18986, _u18986)), hAPP(hAPP(c_Product__Type_OPair(_u18986, _u18986), _u18984), _u18985)), c_List_Omeasures(_u18986, _u18987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18986, _u18986)), hAPP(hAPP(c_Product__Type_OPair(_u18986, _u18986), _u18984), _u18985)), c_List_Omeasures(_u18986, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18986, tc_Nat_Onat)), _u18983), _u18987)))) )).
% 12.29/12.55 cnf(matrix-7775, plain, ( c_Wellfounded_Owf(_u18988, c_List_Omeasures(_u18988, _u18989)) )).
% 12.29/12.55 cnf(matrix-7776, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18990, _u18990)), hAPP(hAPP(c_Product__Type_OPair(_u18990, _u18990), _u18991), _u18992)), c_List_Omeasures(_u18990, c_List_Olist_ONil(tc_fun(_u18990, tc_Nat_Onat))))) )).
% 12.29/12.55 cnf(matrix-7777, plain, ( ( c_List_Omeasures(_u18993, _u18994) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18993), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18993, tc_List_Olist(tc_fun(_u18993, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18993, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18993, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18993), c_List_Omap(tc_fun(_u18993, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18993, tc_Nat_Onat), _u18993, tc_Nat_Onat), c_COMBI(tc_fun(_u18993, tc_Nat_Onat))))), _u18994))) )).
% 12.29/12.55 cnf(matrix-7778, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u19000)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u19000), _u19002), _u19004)), c_List_Omeasures(_u19000, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19000, tc_Nat_Onat)), _u19006), _u19008)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19006, _u19002)), hAPP(_u19006, _u19004))) | ( hAPP(_u19006, _u19002) = hAPP(_u19006, _u19004)) )).
% 12.29/12.55 cnf(matrix-7779, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u19000)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u19000), _u19002), _u19004)), c_List_Omeasures(_u19000, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19000, tc_Nat_Onat)), _u19006), _u19008)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19006, _u19002)), hAPP(_u19006, _u19004))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u19000)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u19000), _u19002), _u19004)), c_List_Omeasures(_u19000, _u19008))) )).
% 12.29/12.55 cnf(matrix-7780, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), _u19003), _u19005)), c_List_Omeasures(_u19001, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19001, tc_Nat_Onat)), _u19007), _u19009)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19007, _u19003)), hAPP(_u19007, _u19005))) )).
% 12.29/12.55 cnf(matrix-7781, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), _u19003), _u19005)), c_List_Omeasures(_u19001, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19001, tc_Nat_Onat)), _u19007), _u19009)))) | ( hAPP(_u19007, _u19003) != hAPP(_u19007, _u19005)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u19001)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u19001), _u19003), _u19005)), c_List_Omeasures(_u19001, _u19009))) )).
% 12.29/12.55 cnf(matrix-7782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19010, _u19011)), hAPP(_u19010, _u19012))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19013, _u19013)), hAPP(hAPP(c_Product__Type_OPair(_u19013, _u19013), _u19011), _u19012)), c_List_Omeasures(_u19013, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19013, tc_Nat_Onat)), _u19010), _u19014)))) )).
% 12.29/12.55 cnf(matrix-7783, plain, ( ( hAPP(c_List_Ofoldl(_u19018, _u19016, hAPP(c_COMBC(_u19016, _u19018, _u19018), _u19020), hAPP(_u19021, _u19023)), _u19017) = hAPP(_u19021, hAPP(c_List_Ofoldl(_u19019, _u19016, hAPP(c_COMBC(_u19016, _u19019, _u19019), _u19022), _u19023), _u19017))) | hBOOL(hAPP(hAPP(c_member(_u19016), skolem498(_u19023, _u19022, _u19021, _u19020, _u19019, _u19018, _u19017, _u19016)), hAPP(c_List_Oset(_u19016), _u19017))) )).
% 12.29/12.55 cnf(matrix-7784, plain, ( ( hAPP(c_List_Ofoldl(_u19018, _u19016, hAPP(c_COMBC(_u19016, _u19018, _u19018), _u19020), hAPP(_u19021, _u19023)), _u19017) = hAPP(_u19021, hAPP(c_List_Ofoldl(_u19019, _u19016, hAPP(c_COMBC(_u19016, _u19019, _u19019), _u19022), _u19023), _u19017))) | ( hAPP(c_Fun_Ocomp(_u19018, _u19018, _u19019, hAPP(_u19020, skolem498(_u19023, _u19022, _u19021, _u19020, _u19019, _u19018, _u19017, _u19016))), _u19021) != hAPP(c_Fun_Ocomp(_u19019, _u19018, _u19019, _u19021), hAPP(_u19022, skolem498(_u19023, _u19022, _u19021, _u19020, _u19019, _u19018, _u19017, _u19016)))) )).
% 12.29/12.55 cnf(matrix-7785, plain, ( hBOOL(hAPP(_u19028, hAPP(hAPP(c_List_Ozip(_u19024, _u19026), _u19025), _u19027))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), hAPP(hAPP(c_List_Otake(_u19024), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19025)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), hAPP(hAPP(c_List_Otake(_u19026), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19027))) )).
% 12.29/12.55 cnf(matrix-7786, plain, ( hBOOL(hAPP(_u19028, hAPP(hAPP(c_List_Ozip(_u19024, _u19026), _u19025), _u19027))) | ~hBOOL(hAPP(_u19028, hAPP(hAPP(c_List_Ozip(_u19024, _u19026), hAPP(hAPP(c_List_Otake(_u19024), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19025)), hAPP(hAPP(c_List_Otake(_u19026), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19024)), _u19025)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19026)), _u19027))), _u19027)))) )).
% 12.29/12.55 cnf(matrix-7787, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u19029, _u19030, _u19031, _u19032) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u19029, _u19030), _u19031), _u19032))) )).
% 12.29/12.55 cnf(matrix-7788, plain, ( ( c_List_OdropWhile(_u19034, _u19036, hAPP(hAPP(c_List_Oappend(_u19034), _u19035), _u19037)) = c_List_OdropWhile(_u19034, _u19036, _u19037)) | hBOOL(hAPP(hAPP(c_member(_u19034), skolem499(_u19037, _u19036, _u19035, _u19034)), hAPP(c_List_Oset(_u19034), _u19035))) )).
% 12.29/12.55 cnf(matrix-7789, plain, ( ( c_List_OdropWhile(_u19034, _u19036, hAPP(hAPP(c_List_Oappend(_u19034), _u19035), _u19037)) = c_List_OdropWhile(_u19034, _u19036, _u19037)) | ~hBOOL(hAPP(_u19036, skolem499(_u19037, _u19036, _u19035, _u19034))) )).
% 12.29/12.55 cnf(matrix-7790, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19039)), _u19040) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19041)), _u19042)) | c_List_Olist__all2(_u19039, _u19041, _u19043, _u19040, _u19042) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem500(_u19043, _u19042, _u19041, _u19040, _u19039)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19039)), _u19040))) )).
% 12.29/12.55 cnf(matrix-7791, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19039)), _u19040) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19041)), _u19042)) | c_List_Olist__all2(_u19039, _u19041, _u19043, _u19040, _u19042) | ~hBOOL(hAPP(hAPP(_u19043, hAPP(hAPP(c_List_Onth(_u19039), _u19040), skolem500(_u19043, _u19042, _u19041, _u19040, _u19039))), hAPP(hAPP(c_List_Onth(_u19041), _u19042), skolem500(_u19043, _u19042, _u19041, _u19040, _u19039)))) )).
% 12.29/12.55 cnf(matrix-7792, plain, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | ( hAPP(c_List_Oset(_u19046), skolem501(_u19047, _u19046)) = _u19047) )).
% 12.29/12.55 cnf(matrix-7793, plain, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | c_List_Olinorder__class_Osorted(_u19046, skolem501(_u19047, _u19046)) )).
% 12.29/12.55 cnf(matrix-7794, plain, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | hBOOL(hAPP(c_List_Odistinct(_u19046), skolem501(_u19047, _u19046))) )).
% 12.29/12.55 cnf(matrix-7795, plain, ( ~class_Orderings_Olinorder(_u19046) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19046), _u19047)) | ( hAPP(c_List_Oset(_u19046), _u19044) != _u19047) | ~c_List_Olinorder__class_Osorted(_u19046, _u19044) | ~hBOOL(hAPP(c_List_Odistinct(_u19046), _u19044)) | ( _u19044 = skolem501(_u19047, _u19046)) )).
% 12.29/12.55 cnf(matrix-7796, plain, ( ( c_List_OtakeWhile(_u19049, _u19051, hAPP(hAPP(c_List_Oappend(_u19049), _u19050), _u19052)) = hAPP(hAPP(c_List_Oappend(_u19049), _u19050), c_List_OtakeWhile(_u19049, _u19051, _u19052))) | hBOOL(hAPP(hAPP(c_member(_u19049), skolem502(_u19052, _u19051, _u19050, _u19049)), hAPP(c_List_Oset(_u19049), _u19050))) )).
% 12.29/12.55 cnf(matrix-7797, plain, ( ( c_List_OtakeWhile(_u19049, _u19051, hAPP(hAPP(c_List_Oappend(_u19049), _u19050), _u19052)) = hAPP(hAPP(c_List_Oappend(_u19049), _u19050), c_List_OtakeWhile(_u19049, _u19051, _u19052))) | ~hBOOL(hAPP(_u19051, skolem502(_u19052, _u19051, _u19050, _u19049))) )).
% 12.29/12.55 cnf(matrix-7798, plain, ( ~class_Orderings_Olinorder(_u19054) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19055, _u19054, _u19057), _u19058), _u19056) = hAPP(hAPP(c_List_Olist_OCons(_u19055), _u19058), _u19056)) | hBOOL(hAPP(hAPP(c_member(_u19055), skolem503(_u19058, _u19057, _u19056, _u19055, _u19054)), hAPP(c_List_Oset(_u19055), _u19056))) )).
% 12.29/12.55 cnf(matrix-7799, plain, ( ~class_Orderings_Olinorder(_u19054) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19055, _u19054, _u19057), _u19058), _u19056) = hAPP(hAPP(c_List_Olist_OCons(_u19055), _u19058), _u19056)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19054), hAPP(_u19057, _u19058)), hAPP(_u19057, skolem503(_u19058, _u19057, _u19056, _u19055, _u19054)))) )).
% 12.29/12.55 cnf(matrix-7800, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | hBOOL(hAPP(_u19076, _u19072)) )).
% 12.29/12.55 cnf(matrix-7801, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | ~hBOOL(hAPP(hAPP(c_member(_u19070), _u19059), hAPP(c_List_Oset(_u19070), skolem504(_u19078, _u19076, _u19074, _u19072, _u19070)))) | ~hBOOL(hAPP(_u19076, _u19059)) )).
% 12.29/12.55 cnf(matrix-7802, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | ( _u19078 = hAPP(hAPP(c_List_Oappend(_u19070), skolem504(_u19078, _u19076, _u19074, _u19072, _u19070)), hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), skolem505(_u19078, _u19076, _u19074, _u19072, _u19070)))) )).
% 12.29/12.55 cnf(matrix-7803, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19070), _u19072), _u19074) != hAPP(c_List_Ofilter(_u19070, _u19076), _u19078)) | ( _u19074 = hAPP(c_List_Ofilter(_u19070, _u19076), skolem505(_u19078, _u19076, _u19074, _u19072, _u19070))) )).
% 12.29/12.55 cnf(matrix-7804, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19075) = hAPP(c_List_Ofilter(_u19071, _u19077), _u19079)) | ~hBOOL(hAPP(_u19077, _u19073)) | ( _u19079 != hAPP(hAPP(c_List_Oappend(_u19071), _u19064), hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19063))) | ( _u19075 != hAPP(c_List_Ofilter(_u19071, _u19077), _u19063)) | hBOOL(hAPP(hAPP(c_member(_u19071), skolem506(_u19079, _u19077, _u19075, _u19073, _u19071, _u19064)), hAPP(c_List_Oset(_u19071), _u19064))) )).
% 12.29/12.55 cnf(matrix-7805, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19075) = hAPP(c_List_Ofilter(_u19071, _u19077), _u19079)) | ~hBOOL(hAPP(_u19077, _u19073)) | ( _u19079 != hAPP(hAPP(c_List_Oappend(_u19071), _u19064), hAPP(hAPP(c_List_Olist_OCons(_u19071), _u19073), _u19063))) | ( _u19075 != hAPP(c_List_Ofilter(_u19071, _u19077), _u19063)) | hBOOL(hAPP(_u19077, skolem506(_u19079, _u19077, _u19075, _u19073, _u19071, _u19064))) )).
% 12.29/12.55 cnf(matrix-7806, plain, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | hBOOL(hAPP(_u19093, _u19097)) )).
% 12.29/12.55 cnf(matrix-7807, plain, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | ~hBOOL(hAPP(hAPP(c_member(_u19091), _u19080), hAPP(c_List_Oset(_u19091), skolem507(_u19099, _u19097, _u19095, _u19093, _u19091)))) | ~hBOOL(hAPP(_u19093, _u19080)) )).
% 12.29/12.55 cnf(matrix-7808, plain, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | ( _u19095 = hAPP(hAPP(c_List_Oappend(_u19091), skolem507(_u19099, _u19097, _u19095, _u19093, _u19091)), hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), skolem508(_u19099, _u19097, _u19095, _u19093, _u19091)))) )).
% 12.29/12.55 cnf(matrix-7809, plain, ( ( hAPP(c_List_Ofilter(_u19091, _u19093), _u19095) != hAPP(hAPP(c_List_Olist_OCons(_u19091), _u19097), _u19099)) | ( _u19099 = hAPP(c_List_Ofilter(_u19091, _u19093), skolem508(_u19099, _u19097, _u19095, _u19093, _u19091))) )).
% 12.29/12.55 cnf(matrix-7810, plain, ( ( hAPP(c_List_Ofilter(_u19092, _u19094), _u19096) = hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19100)) | ~hBOOL(hAPP(_u19094, _u19098)) | ( _u19096 != hAPP(hAPP(c_List_Oappend(_u19092), _u19085), hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19084))) | ( _u19100 != hAPP(c_List_Ofilter(_u19092, _u19094), _u19084)) | hBOOL(hAPP(hAPP(c_member(_u19092), skolem509(_u19100, _u19098, _u19096, _u19094, _u19092, _u19085)), hAPP(c_List_Oset(_u19092), _u19085))) )).
% 12.29/12.55 cnf(matrix-7811, plain, ( ( hAPP(c_List_Ofilter(_u19092, _u19094), _u19096) = hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19100)) | ~hBOOL(hAPP(_u19094, _u19098)) | ( _u19096 != hAPP(hAPP(c_List_Oappend(_u19092), _u19085), hAPP(hAPP(c_List_Olist_OCons(_u19092), _u19098), _u19084))) | ( _u19100 != hAPP(c_List_Ofilter(_u19092, _u19094), _u19084)) | hBOOL(hAPP(_u19094, skolem509(_u19100, _u19098, _u19096, _u19094, _u19092, _u19085))) )).
% 12.29/12.55 cnf(matrix-7812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19102), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19103)), _u19104))) | hBOOL(hAPP(_u19105, hAPP(hAPP(c_List_Onth(_u19103), _u19104), _u19102))) | hBOOL(hAPP(hAPP(c_member(_u19103), skolem510(_u19105, _u19104, _u19103, _u19102)), hAPP(c_List_Oset(_u19103), _u19104))) )).
% 12.29/12.55 cnf(matrix-7813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19102), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19103)), _u19104))) | hBOOL(hAPP(_u19105, hAPP(hAPP(c_List_Onth(_u19103), _u19104), _u19102))) | ~hBOOL(hAPP(_u19105, skolem510(_u19105, _u19104, _u19103, _u19102))) )).
% 12.29/12.55 cnf(matrix-7814, plain, ( ~class_Orderings_Olinorder(_u19107) | ~c_List_Olinorder__class_Osorted(_u19107, _u19108) | c_List_Olinorder__class_Osorted(_u19107, hAPP(hAPP(c_List_Olist_OCons(_u19107), _u19109), _u19108)) | hBOOL(hAPP(hAPP(c_member(_u19107), skolem511(_u19109, _u19108, _u19107)), hAPP(c_List_Oset(_u19107), _u19108))) )).
% 12.29/12.55 cnf(matrix-7815, plain, ( ~class_Orderings_Olinorder(_u19107) | ~c_List_Olinorder__class_Osorted(_u19107, _u19108) | c_List_Olinorder__class_Osorted(_u19107, hAPP(hAPP(c_List_Olist_OCons(_u19107), _u19109), _u19108)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19107), _u19109), skolem511(_u19109, _u19108, _u19107))) )).
% 12.29/12.55 cnf(matrix-7816, plain, ( ~c_List_Olist__ex(_u19115, _u19117, _u19119) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem512(_u19119, _u19117, _u19115)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19115)), _u19119))) )).
% 12.29/12.55 cnf(matrix-7817, plain, ( ~c_List_Olist__ex(_u19115, _u19117, _u19119) | hBOOL(hAPP(_u19117, hAPP(hAPP(c_List_Onth(_u19115), _u19119), skolem512(_u19119, _u19117, _u19115)))) )).
% 12.29/12.55 cnf(matrix-7818, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19111), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19116)), _u19120))) | ~hBOOL(hAPP(_u19118, hAPP(hAPP(c_List_Onth(_u19116), _u19120), _u19111))) | c_List_Olist__ex(_u19116, _u19118, _u19120) )).
% 12.29/12.55 cnf(matrix-7819, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19128), _u19130), hAPP(c_List_Oset(_u19128), _u19132))) | ( _u19132 = hAPP(hAPP(c_List_Oappend(_u19128), skolem513(_u19132, _u19130, _u19128)), hAPP(hAPP(c_List_Olist_OCons(_u19128), _u19130), skolem514(_u19132, _u19130, _u19128)))) )).
% 12.29/12.55 cnf(matrix-7820, plain, ( ( _u19133 != hAPP(hAPP(c_List_Oappend(_u19129), _u19124), hAPP(hAPP(c_List_Olist_OCons(_u19129), _u19131), _u19123))) | hBOOL(hAPP(hAPP(c_member(_u19129), _u19131), hAPP(c_List_Oset(_u19129), _u19133))) )).
% 12.29/12.55 cnf(matrix-7821, plain, ( ~c_List_Olist__ex(_u19138, _u19140, hAPP(hAPP(c_List_Olist_OCons(_u19138), _u19142), _u19144)) | hBOOL(hAPP(_u19140, _u19142)) | c_List_Olist__ex(_u19138, _u19140, _u19144) )).
% 12.29/12.55 cnf(matrix-7822, plain, ( c_List_Olist__ex(_u19139, _u19141, hAPP(hAPP(c_List_Olist_OCons(_u19139), _u19143), _u19145)) | ~hBOOL(hAPP(_u19141, _u19143)) )).
% 12.29/12.55 cnf(matrix-7823, plain, ( c_List_Olist__ex(_u19139, _u19141, hAPP(hAPP(c_List_Olist_OCons(_u19139), _u19143), _u19145)) | ~c_List_Olist__ex(_u19139, _u19141, _u19145) )).
% 12.29/12.55 cnf(matrix-7824, plain, ( ~c_List_Olist__ex(_u19149, _u19151, hAPP(c_List_Orev(_u19149), _u19153)) | c_List_Olist__ex(_u19149, _u19151, _u19153) )).
% 12.29/12.55 cnf(matrix-7825, plain, ( ~c_List_Olist__ex(_u19150, _u19152, _u19154) | c_List_Olist__ex(_u19150, _u19152, hAPP(c_List_Orev(_u19150), _u19154)) )).
% 12.29/12.55 cnf(matrix-7826, plain, ( ~c_List_Olist__ex(_u19160, _u19162, _u19164) | hBOOL(hAPP(hAPP(c_member(_u19160), skolem515(_u19164, _u19162, _u19160)), hAPP(c_List_Oset(_u19160), _u19164))) )).
% 12.29/12.55 cnf(matrix-7827, plain, ( ~c_List_Olist__ex(_u19160, _u19162, _u19164) | hBOOL(hAPP(_u19162, skolem515(_u19164, _u19162, _u19160))) )).
% 12.29/12.55 cnf(matrix-7828, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19161), _u19156), hAPP(c_List_Oset(_u19161), _u19165))) | ~hBOOL(hAPP(_u19163, _u19156)) | c_List_Olist__ex(_u19161, _u19163, _u19165) )).
% 12.29/12.55 cnf(matrix-7829, plain, ( ~c_List_Olist__ex(_u19170, _u19172, hAPP(hAPP(c_List_Oappend(_u19170), _u19174), _u19176)) | c_List_Olist__ex(_u19170, _u19172, _u19174) | c_List_Olist__ex(_u19170, _u19172, _u19176) )).
% 12.29/12.55 cnf(matrix-7830, plain, ( c_List_Olist__ex(_u19171, _u19173, hAPP(hAPP(c_List_Oappend(_u19171), _u19175), _u19177)) | ~c_List_Olist__ex(_u19171, _u19173, _u19175) )).
% 12.29/12.55 cnf(matrix-7831, plain, ( c_List_Olist__ex(_u19171, _u19173, hAPP(hAPP(c_List_Oappend(_u19171), _u19175), _u19177)) | ~c_List_Olist__ex(_u19171, _u19173, _u19177) )).
% 12.29/12.55 cnf(matrix-7832, plain, ( ~c_List_Olist__ex(_u19178, _u19179, c_List_Olist_ONil(_u19178)) )).
% 12.29/12.55 cnf(matrix-7833, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19187), _u19189), hAPP(c_List_Oset(_u19187), _u19191))) | ( _u19191 = hAPP(hAPP(c_List_Oappend(_u19187), skolem516(_u19191, _u19189, _u19187)), hAPP(hAPP(c_List_Olist_OCons(_u19187), _u19189), skolem517(_u19191, _u19189, _u19187)))) )).
% 12.29/12.55 cnf(matrix-7834, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19187), _u19189), hAPP(c_List_Oset(_u19187), _u19191))) | ~hBOOL(hAPP(hAPP(c_member(_u19187), _u19189), hAPP(c_List_Oset(_u19187), skolem516(_u19191, _u19189, _u19187)))) )).
% 12.29/12.55 cnf(matrix-7835, plain, ( ( _u19192 != hAPP(hAPP(c_List_Oappend(_u19188), _u19183), hAPP(hAPP(c_List_Olist_OCons(_u19188), _u19190), _u19182))) | hBOOL(hAPP(hAPP(c_member(_u19188), _u19190), hAPP(c_List_Oset(_u19188), _u19183))) | hBOOL(hAPP(hAPP(c_member(_u19188), _u19190), hAPP(c_List_Oset(_u19188), _u19192))) )).
% 12.29/12.55 cnf(matrix-7836, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19200), _u19202), hAPP(c_List_Oset(_u19200), _u19204))) | ( _u19204 = hAPP(hAPP(c_List_Oappend(_u19200), skolem518(_u19204, _u19202, _u19200)), hAPP(hAPP(c_List_Olist_OCons(_u19200), _u19202), skolem519(_u19204, _u19202, _u19200)))) )).
% 12.29/12.55 cnf(matrix-7837, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19200), _u19202), hAPP(c_List_Oset(_u19200), _u19204))) | ~hBOOL(hAPP(hAPP(c_member(_u19200), _u19202), hAPP(c_List_Oset(_u19200), skolem519(_u19204, _u19202, _u19200)))) )).
% 12.29/12.55 cnf(matrix-7838, plain, ( ( _u19205 != hAPP(hAPP(c_List_Oappend(_u19201), _u19196), hAPP(hAPP(c_List_Olist_OCons(_u19201), _u19203), _u19195))) | hBOOL(hAPP(hAPP(c_member(_u19201), _u19203), hAPP(c_List_Oset(_u19201), _u19195))) | hBOOL(hAPP(hAPP(c_member(_u19201), _u19203), hAPP(c_List_Oset(_u19201), _u19205))) )).
% 12.29/12.55 cnf(matrix-7839, plain, ( ~c_List_Olist__all(_u19211, _u19213, _u19215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19211)), _u19215))) | hBOOL(hAPP(_u19213, hAPP(hAPP(c_List_Onth(_u19211), _u19215), _u19206))) )).
% 12.29/12.55 cnf(matrix-7840, plain, ( c_List_Olist__all(_u19212, _u19214, _u19216) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem520(_u19216, _u19214, _u19212)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19212)), _u19216))) )).
% 12.29/12.55 cnf(matrix-7841, plain, ( c_List_Olist__all(_u19212, _u19214, _u19216) | ~hBOOL(hAPP(_u19214, hAPP(hAPP(c_List_Onth(_u19212), _u19216), skolem520(_u19216, _u19214, _u19212)))) )).
% 12.29/12.55 cnf(matrix-7842, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), skolem522(_u19221, _u19220, _u19219))) )).
% 12.29/12.55 cnf(matrix-7843, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | ~hBOOL(hAPP(hAPP(c_member(_u19219), skolem521(_u19221, _u19220, _u19219)), skolem522(_u19221, _u19220, _u19219))) )).
% 12.29/12.55 cnf(matrix-7844, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | hBOOL(hAPP(_u19221, skolem522(_u19221, _u19220, _u19219))) )).
% 12.29/12.55 cnf(matrix-7845, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19219), _u19220)) | ~hBOOL(hAPP(_u19221, c_Orderings_Obot__class_Obot(tc_fun(_u19219, tc_HOL_Obool)))) | hBOOL(hAPP(_u19221, _u19220)) | ~hBOOL(hAPP(_u19221, hAPP(hAPP(c_Set_Oinsert(_u19219), skolem521(_u19221, _u19220, _u19219)), skolem522(_u19221, _u19220, _u19219)))) )).
% 12.29/12.55 cnf(matrix-7846, plain, ( ~c_List_Olist__all(_u19226, _u19228, hAPP(hAPP(c_List_Olist_OCons(_u19226), _u19230), _u19232)) | hBOOL(hAPP(_u19228, _u19230)) )).
% 12.29/12.55 cnf(matrix-7847, plain, ( ~c_List_Olist__all(_u19226, _u19228, hAPP(hAPP(c_List_Olist_OCons(_u19226), _u19230), _u19232)) | c_List_Olist__all(_u19226, _u19228, _u19232) )).
% 12.29/12.55 cnf(matrix-7848, plain, ( ~hBOOL(hAPP(_u19229, _u19231)) | ~c_List_Olist__all(_u19227, _u19229, _u19233) | c_List_Olist__all(_u19227, _u19229, hAPP(hAPP(c_List_Olist_OCons(_u19227), _u19231), _u19233)) )).
% 12.29/12.55 cnf(matrix-7849, plain, ( ~c_List_Olist__all(_u19237, _u19239, hAPP(c_List_Orev(_u19237), _u19241)) | c_List_Olist__all(_u19237, _u19239, _u19241) )).
% 12.29/12.55 cnf(matrix-7850, plain, ( ~c_List_Olist__all(_u19238, _u19240, _u19242) | c_List_Olist__all(_u19238, _u19240, hAPP(c_List_Orev(_u19238), _u19242)) )).
% 12.29/12.55 cnf(matrix-7851, plain, ( ~c_List_Olist__all(_u19248, _u19250, _u19252) | ~hBOOL(hAPP(hAPP(c_member(_u19248), _u19243), hAPP(c_List_Oset(_u19248), _u19252))) | hBOOL(hAPP(_u19250, _u19243)) )).
% 12.29/12.55 cnf(matrix-7852, plain, ( c_List_Olist__all(_u19249, _u19251, _u19253) | hBOOL(hAPP(hAPP(c_member(_u19249), skolem523(_u19253, _u19251, _u19249)), hAPP(c_List_Oset(_u19249), _u19253))) )).
% 12.29/12.55 cnf(matrix-7853, plain, ( c_List_Olist__all(_u19249, _u19251, _u19253) | ~hBOOL(hAPP(_u19251, skolem523(_u19253, _u19251, _u19249))) )).
% 12.29/12.55 cnf(matrix-7854, plain, ( ~c_List_Olist__all(_u19258, _u19260, hAPP(hAPP(c_List_Oappend(_u19258), _u19262), _u19264)) | c_List_Olist__all(_u19258, _u19260, _u19262) )).
% 12.29/12.55 cnf(matrix-7855, plain, ( ~c_List_Olist__all(_u19258, _u19260, hAPP(hAPP(c_List_Oappend(_u19258), _u19262), _u19264)) | c_List_Olist__all(_u19258, _u19260, _u19264) )).
% 12.29/12.55 cnf(matrix-7856, plain, ( ~c_List_Olist__all(_u19259, _u19261, _u19263) | ~c_List_Olist__all(_u19259, _u19261, _u19265) | c_List_Olist__all(_u19259, _u19261, hAPP(hAPP(c_List_Oappend(_u19259), _u19263), _u19265)) )).
% 12.29/12.55 cnf(matrix-7857, plain, ( c_List_Olist__all(_u19266, _u19267, c_List_Olist_ONil(_u19266)) )).
% 12.29/12.55 cnf(matrix-7858, plain, ( c_List_Olist__all(_u19273, _u19277, _u19275) | hBOOL(hAPP(hAPP(c_member(_u19273), skolem524(_u19277, _u19275, _u19273)), hAPP(c_List_Oset(_u19273), _u19275))) )).
% 12.29/12.55 cnf(matrix-7859, plain, ( c_List_Olist__all(_u19273, _u19277, _u19275) | ~hBOOL(hAPP(_u19277, skolem524(_u19277, _u19275, _u19273))) )).
% 12.29/12.55 cnf(matrix-7860, plain, ( ~c_List_Olist__all(_u19274, _u19278, _u19276) | ~hBOOL(hAPP(hAPP(c_member(_u19274), _u19269), hAPP(c_List_Oset(_u19274), _u19276))) | hBOOL(hAPP(_u19278, _u19269)) )).
% 12.29/12.55 cnf(matrix-7861, plain, ( ~c_List_Olist__all(_u19284, _u19286, _u19288) | ~hBOOL(hAPP(hAPP(c_member(_u19284), _u19279), hAPP(c_List_Oset(_u19284), _u19288))) | hBOOL(hAPP(_u19286, _u19279)) )).
% 12.29/12.55 cnf(matrix-7862, plain, ( c_List_Olist__all(_u19285, _u19287, _u19289) | hBOOL(hAPP(hAPP(c_member(_u19285), skolem525(_u19289, _u19287, _u19285)), hAPP(c_List_Oset(_u19285), _u19289))) )).
% 12.29/12.55 cnf(matrix-7863, plain, ( c_List_Olist__all(_u19285, _u19287, _u19289) | ~hBOOL(hAPP(_u19287, skolem525(_u19289, _u19287, _u19285))) )).
% 12.29/12.55 cnf(matrix-7864, plain, ( ~c_List_Olist__ex1(_u19294, _u19296, hAPP(hAPP(c_List_Olist_OCons(_u19294), _u19298), _u19300)) | ~hBOOL(hAPP(_u19296, _u19298)) | c_List_Olist__all(_u19294, hAPP(hAPP(c_COMBS(_u19294, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19294), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19294), c_fNot), _u19296))), hAPP(c_fequal, _u19298)), _u19300) )).
% 12.29/12.55 cnf(matrix-7865, plain, ( ~c_List_Olist__ex1(_u19294, _u19296, hAPP(hAPP(c_List_Olist_OCons(_u19294), _u19298), _u19300)) | hBOOL(hAPP(_u19296, _u19298)) | c_List_Olist__ex1(_u19294, _u19296, _u19300) )).
% 12.29/12.55 cnf(matrix-7866, plain, ( c_List_Olist__ex1(_u19295, _u19297, hAPP(hAPP(c_List_Olist_OCons(_u19295), _u19299), _u19301)) | hBOOL(hAPP(_u19297, _u19299)) | ~c_List_Olist__ex1(_u19295, _u19297, _u19301) )).
% 12.29/12.55 cnf(matrix-7867, plain, ( c_List_Olist__ex1(_u19295, _u19297, hAPP(hAPP(c_List_Olist_OCons(_u19295), _u19299), _u19301)) | ~c_List_Olist__all(_u19295, hAPP(hAPP(c_COMBS(_u19295, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19295), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19295), c_fNot), _u19297))), hAPP(c_fequal, _u19299)), _u19301) | ~hBOOL(hAPP(_u19297, _u19299)) )).
% 12.29/12.55 cnf(matrix-7868, plain, ( c_List_Olist__ex1(_u19295, _u19297, hAPP(hAPP(c_List_Olist_OCons(_u19295), _u19299), _u19301)) | ~c_List_Olist__all(_u19295, hAPP(hAPP(c_COMBS(_u19295, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19295), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19295), c_fNot), _u19297))), hAPP(c_fequal, _u19299)), _u19301) | ~c_List_Olist__ex1(_u19295, _u19297, _u19301) )).
% 12.29/12.55 cnf(matrix-7869, plain, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 12.29/12.55 cnf(matrix-7870, plain, ( ~c_List_Olist__ex1(_u19302, _u19303, c_List_Olist_ONil(_u19302)) )).
% 12.29/12.55 cnf(matrix-7871, plain, ( c_FunDef_Ois__measure(_u19304, _u19305) )).
% 12.29/12.55 cnf(matrix-7872, plain, ( c_FunDef_Ois__measure(_u19306, _u19307) )).
% 12.29/12.55 cnf(matrix-7873, plain, ( c_FunDef_Ois__measure(_u19308, _u19309) )).
% 12.29/12.55 cnf(matrix-7874, plain, ( ~class_Nat_Osize(_u19310) | c_FunDef_Ois__measure(_u19310, c_Nat_Osize__class_Osize(_u19310)) )).
% 12.29/12.55 cnf(matrix-7875, plain, ( ~c_FunDef_Ois__measure(_u19311, _u19312) | c_FunDef_Ois__measure(tc_prod(_u19313, _u19311), hAPP(hAPP(c_COMBB(_u19311, tc_Nat_Onat, tc_prod(_u19313, _u19311)), _u19312), c_Product__Type_Osnd(_u19313, _u19311))) )).
% 12.29/12.55 cnf(matrix-7876, plain, ( ~c_FunDef_Ois__measure(_u19314, _u19315) | c_FunDef_Ois__measure(tc_prod(_u19314, _u19316), hAPP(hAPP(c_COMBB(_u19314, tc_Nat_Onat, tc_prod(_u19314, _u19316)), _u19315), c_Product__Type_Ofst(_u19314, _u19316))) )).
% 12.29/12.55 cnf(matrix-7877, plain, ( ~c_List_Olist__ex1(_u19324, _u19326, _u19328) | hBOOL(hAPP(hAPP(c_member(_u19324), skolem526(_u19328, _u19326, _u19324)), hAPP(c_List_Oset(_u19324), _u19328))) )).
% 12.29/12.55 cnf(matrix-7878, plain, ( ~c_List_Olist__ex1(_u19324, _u19326, _u19328) | hBOOL(hAPP(_u19326, skolem526(_u19328, _u19326, _u19324))) )).
% 12.29/12.55 cnf(matrix-7879, plain, ( ~c_List_Olist__ex1(_u19324, _u19326, _u19328) | ~hBOOL(hAPP(hAPP(c_member(_u19324), _u19317), hAPP(c_List_Oset(_u19324), _u19328))) | ~hBOOL(hAPP(_u19326, _u19317)) | ( _u19317 = skolem526(_u19328, _u19326, _u19324)) )).
% 12.29/12.55 cnf(matrix-7880, plain, ( c_List_Olist__ex1(_u19325, _u19327, _u19329) | ~hBOOL(hAPP(hAPP(c_member(_u19325), _u19320), hAPP(c_List_Oset(_u19325), _u19329))) | ~hBOOL(hAPP(_u19327, _u19320)) | hBOOL(hAPP(hAPP(c_member(_u19325), skolem527(_u19329, _u19327, _u19325, _u19320)), hAPP(c_List_Oset(_u19325), _u19329))) )).
% 12.29/12.55 cnf(matrix-7881, plain, ( c_List_Olist__ex1(_u19325, _u19327, _u19329) | ~hBOOL(hAPP(hAPP(c_member(_u19325), _u19320), hAPP(c_List_Oset(_u19325), _u19329))) | ~hBOOL(hAPP(_u19327, _u19320)) | hBOOL(hAPP(_u19327, skolem527(_u19329, _u19327, _u19325, _u19320))) )).
% 12.29/12.55 cnf(matrix-7882, plain, ( c_List_Olist__ex1(_u19325, _u19327, _u19329) | ~hBOOL(hAPP(hAPP(c_member(_u19325), _u19320), hAPP(c_List_Oset(_u19325), _u19329))) | ~hBOOL(hAPP(_u19327, _u19320)) | ( skolem527(_u19329, _u19327, _u19325, _u19320) != _u19320) )).
% 12.29/12.55 cnf(matrix-7883, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 12.29/12.55 cnf(matrix-7884, plain, ( ( _u19335 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19337, _u19339, _u19341, _u19343), _u19335) = c_Lazy__Sequence_Ohit__bound(_u19339)) )).
% 12.29/12.55 cnf(matrix-7885, plain, ( ( _u19336 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19338, _u19340, _u19342, _u19344), _u19336) = c_Lazy__Sequence_Ohb__bind(_u19338, _u19340, hAPP(_u19342, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19336), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19338, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19340))), _u19344), _u19336))) )).
% 12.29/12.55 cnf(matrix-7886, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7887, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7888, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19345, _u19346, _u19347, _u19348, _u19349, _u19350, _u19351) = c_New__DSequence_Oneg__decr__bind(_u19345, _u19346, hAPP(hAPP(hAPP(_u19347, _u19349), _u19350), _u19351), hAPP(hAPP(c_COMBC(_u19345, 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(_u19346)))), hAPP(hAPP(c_COMBC(_u19345, 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(_u19346))))), hAPP(hAPP(c_COMBC(_u19345, 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(_u19346)))))), _u19348), _u19349)), _u19350)), _u19351))) )).
% 12.29/12.55 cnf(matrix-7889, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19352, _u19353, _u19354, _u19355), _u19356) = c_Lazy__Sequence_Ohb__bind(_u19352, _u19353, hAPP(_u19354, _u19356), hAPP(hAPP(c_COMBC(_u19352, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19353))), _u19355), _u19356))) )).
% 12.29/12.55 cnf(matrix-7890, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19357, _u19358, _u19359, _u19360), _u19361), _u19362), _u19363) = c_New__DSequence_Oneg__bind(_u19357, _u19358, hAPP(hAPP(hAPP(_u19359, _u19361), _u19362), _u19363), hAPP(hAPP(c_COMBC(_u19357, 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(_u19358)))), hAPP(hAPP(c_COMBC(_u19357, 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(_u19358))))), hAPP(hAPP(c_COMBC(_u19357, 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(_u19358)))))), _u19360), _u19361)), _u19362)), _u19363))) )).
% 12.29/12.55 cnf(matrix-7891, plain, ( ( _u19369 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19371, _u19373, _u19375, _u19377), _u19369) = c_Lazy__Sequence_Oempty(_u19373)) )).
% 12.29/12.55 cnf(matrix-7892, plain, ( ( _u19370 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19372, _u19374, _u19376, _u19378), _u19370) = hAPP(c_Lazy__Sequence_Obind(_u19372, _u19374, hAPP(_u19376, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19370), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19372, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19374)), _u19378), _u19370))) )).
% 12.29/12.55 cnf(matrix-7893, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19379, _u19380, _u19381, _u19382, _u19383, _u19384, _u19385) = c_New__DSequence_Opos__decr__bind(_u19379, _u19380, hAPP(hAPP(hAPP(_u19381, _u19383), _u19384), _u19385), hAPP(hAPP(c_COMBC(_u19379, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19380))), hAPP(hAPP(c_COMBC(_u19379, 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(_u19380)))), hAPP(hAPP(c_COMBC(_u19379, 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(_u19380))))), _u19382), _u19383)), _u19384)), _u19385))) )).
% 12.29/12.55 cnf(matrix-7894, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u19386), _u19387) = c_Lazy__Sequence_Oempty(_u19386)) )).
% 12.29/12.55 cnf(matrix-7895, plain, ( ( c_New__Random__Sequence_Opos__empty(_u19388, _u19389, _u19390, _u19391) = c_New__DSequence_Opos__empty(_u19388)) )).
% 12.29/12.55 cnf(matrix-7896, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u19392, _u19393, _u19394, _u19395), _u19396) = hAPP(c_Lazy__Sequence_Obind(_u19392, _u19393, hAPP(_u19394, _u19396)), hAPP(hAPP(c_COMBC(_u19392, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19393)), _u19395), _u19396))) )).
% 12.29/12.55 cnf(matrix-7897, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19397, _u19398, _u19399, _u19400), _u19401), _u19402), _u19403) = c_New__DSequence_Opos__bind(_u19397, _u19398, hAPP(hAPP(hAPP(_u19399, _u19401), _u19402), _u19403), hAPP(hAPP(c_COMBC(_u19397, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19398))), hAPP(hAPP(c_COMBC(_u19397, 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(_u19398)))), hAPP(hAPP(c_COMBC(_u19397, 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(_u19398))))), _u19400), _u19401)), _u19402)), _u19403))) )).
% 12.29/12.55 cnf(matrix-7898, plain, ( ( c_New__Random__Sequence_Oneg__map(_u19404, _u19405, _u19406, _u19407) = c_New__Random__Sequence_Oneg__bind(_u19404, _u19405, _u19407, hAPP(c_Fun_Ocomp(_u19405, 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(_u19405)))))), _u19404, c_New__Random__Sequence_Oneg__single(_u19405)), _u19406))) )).
% 12.29/12.55 cnf(matrix-7899, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19408), _u19409), _u19410), _u19411), _u19412) = c_New__DSequence_Oneg__single(_u19408, _u19409)) )).
% 12.29/12.55 cnf(matrix-7900, plain, ( ( c_New__Random__Sequence_Opos__map(_u19413, _u19414, _u19415, _u19416) = c_New__Random__Sequence_Opos__bind(_u19413, _u19414, _u19416, hAPP(c_Fun_Ocomp(_u19414, 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(_u19414))))), _u19413, c_New__Random__Sequence_Opos__single(_u19414)), _u19415))) )).
% 12.29/12.55 cnf(matrix-7901, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u19417, _u19418), _u19419) = c_Lazy__Sequence_Ohb__single(_u19417, _u19418)) )).
% 12.29/12.55 cnf(matrix-7902, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19420), _u19421), _u19422), _u19423), _u19424) = c_New__DSequence_Opos__single(_u19420, _u19421)) )).
% 12.29/12.55 cnf(matrix-7903, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u19425, _u19426), _u19427) = hAPP(c_Lazy__Sequence_Osingle(_u19425), _u19426)) )).
% 12.29/12.55 cnf(matrix-7904, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19428)), c_List_Osplice(_u19428, _u19429, _u19430)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19428)), _u19429)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19428)), _u19430))) )).
% 12.29/12.55 cnf(matrix-7905, plain, ( ( c_List_Osplice(_u19431, hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19432), _u19433), hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19434), _u19435)) = hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19432), hAPP(hAPP(c_List_Olist_OCons(_u19431), _u19434), c_List_Osplice(_u19431, _u19433, _u19435)))) )).
% 12.29/12.55 cnf(matrix-7906, plain, ( ( c_List_Osplice(_u19436, c_List_Olist_ONil(_u19436), _u19437) = _u19437) )).
% 12.29/12.55 cnf(matrix-7907, plain, ( ( c_List_Osplice(_u19438, _u19439, c_List_Olist_ONil(_u19438)) = _u19439) )).
% 12.29/12.55 cnf(matrix-7908, plain, ( ( c_List_Osplice(_u19440, hAPP(hAPP(c_List_Olist_OCons(_u19440), _u19441), _u19442), c_List_Olist_ONil(_u19440)) = hAPP(hAPP(c_List_Olist_OCons(_u19440), _u19441), _u19442)) )).
% 12.29/12.55 cnf(matrix-7909, plain, ( ( c_Lazy__Sequence_Oproduct(_u19443, _u19444, _u19445, _u19446) = hAPP(c_Lazy__Sequence_Obind(_u19443, tc_prod(_u19443, _u19444), _u19445), hAPP(hAPP(c_COMBB(tc_fun(_u19444, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444)), _u19443), c_Lazy__Sequence_Obind(_u19444, tc_prod(_u19443, _u19444), _u19446)), hAPP(hAPP(c_COMBB(tc_fun(_u19444, tc_prod(_u19443, _u19444)), tc_fun(_u19444, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444))), _u19443), hAPP(c_COMBB(tc_prod(_u19443, _u19444), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19443, _u19444)), _u19444), c_Lazy__Sequence_Osingle(tc_prod(_u19443, _u19444)))), c_Product__Type_OPair(_u19443, _u19444))))) )).
% 12.29/12.55 cnf(matrix-7910, plain, ( ~c_Fun_Obij__betw(_u19447, _u19448, _u19449, c_Orderings_Otop__class_Otop(tc_fun(_u19447, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19448, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19447, _u19448, _u19449), hAPP(c_Set_OCollect(_u19447), _u19450)) = hAPP(c_Set_OCollect(_u19448), hAPP(hAPP(c_COMBB(_u19447, tc_HOL_Obool, _u19448), _u19450), c_Hilbert__Choice_Oinv__into(_u19447, _u19448, c_Orderings_Otop__class_Otop(tc_fun(_u19447, tc_HOL_Obool)), _u19449)))) )).
% 12.29/12.55 cnf(matrix-7911, plain, ( ~c_Fun_Oinj__on(_u19451, _u19452, _u19453, _u19454) | ~hBOOL(hAPP(hAPP(c_member(_u19451), _u19455), _u19454)) | ( hAPP(_u19453, _u19455) != _u19456) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19451, _u19452, _u19454, _u19453), _u19456) = _u19455) )).
% 12.29/12.55 cnf(matrix-7912, plain, ( ~c_Fun_Oinj__on(_u19457, _u19458, _u19459, _u19460) | ~hBOOL(hAPP(hAPP(c_member(_u19457), _u19461), _u19460)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19457, _u19458, _u19460, _u19459), hAPP(_u19459, _u19461)) = _u19461) )).
% 12.29/12.55 cnf(matrix-7913, plain, ( ~c_Fun_Oinj__on(_u19462, _u19463, _u19464, c_Orderings_Otop__class_Otop(tc_fun(_u19462, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19462, _u19463, c_Orderings_Otop__class_Otop(tc_fun(_u19462, tc_HOL_Obool)), _u19464), hAPP(_u19464, _u19465)) = _u19465) )).
% 12.29/12.55 cnf(matrix-7914, plain, ( ~c_Fun_Oinj__on(_u19466, _u19467, _u19468, c_Orderings_Otop__class_Otop(tc_fun(_u19466, tc_HOL_Obool))) | ( hAPP(_u19468, _u19469) != _u19470) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19466, _u19467, c_Orderings_Otop__class_Otop(tc_fun(_u19466, tc_HOL_Obool)), _u19468), _u19470) = _u19469) )).
% 12.29/12.55 cnf(matrix-7915, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19471, _u19472, _u19473, _u19474), _u19475) = c_Hilbert__Choice_OEps(_u19471, hAPP(hAPP(c_COMBS(_u19471, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19471), c_fconj), hAPP(hAPP(c_COMBC(_u19471, tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19471)), _u19473))), hAPP(hAPP(c_COMBC(_u19471, _u19472, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19472, tc_fun(_u19472, tc_HOL_Obool), _u19471), c_fequal), _u19474)), _u19475)))) )).
% 12.29/12.55 cnf(matrix-7916, plain, ( ~c_Fun_Obij__betw(_u19476, _u19477, _u19478, c_Orderings_Otop__class_Otop(tc_fun(_u19476, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19477, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19477, _u19476, c_Orderings_Otop__class_Otop(tc_fun(_u19477, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u19476, _u19477, c_Orderings_Otop__class_Otop(tc_fun(_u19476, tc_HOL_Obool)), _u19478)) = _u19478) )).
% 12.29/12.55 cnf(matrix-7917, plain, ( ~c_Fun_Obij__betw(_u19479, _u19480, _u19481, c_Orderings_Otop__class_Otop(tc_fun(_u19479, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19480, tc_HOL_Obool))) | c_Fun_Obij__betw(_u19480, _u19479, c_Hilbert__Choice_Oinv__into(_u19479, _u19480, c_Orderings_Otop__class_Otop(tc_fun(_u19479, tc_HOL_Obool)), _u19481), c_Orderings_Otop__class_Otop(tc_fun(_u19480, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19479, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7918, plain, ( ~c_Fun_Obij__betw(_u19482, _u19483, _u19484, _u19485, _u19486) | c_Fun_Obij__betw(_u19483, _u19482, c_Hilbert__Choice_Oinv__into(_u19482, _u19483, _u19485, _u19484), _u19486, _u19485) )).
% 12.29/12.55 cnf(matrix-7919, plain, ( ~c_Fun_Obij__betw(_u19487, _u19488, _u19489, _u19490, _u19491) | ~hBOOL(hAPP(hAPP(c_member(_u19487), _u19492), _u19490)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19488, _u19487, _u19491, c_Hilbert__Choice_Oinv__into(_u19487, _u19488, _u19490, _u19489)), _u19492) = hAPP(_u19489, _u19492)) )).
% 12.29/12.55 cnf(matrix-7920, plain, ( ( hAPP(c_Set_Oimage(_u19493, _u19494, _u19495), _u19496) != _u19497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19494, tc_HOL_Obool)), _u19498), _u19497)) | ( hAPP(c_Set_Oimage(_u19493, _u19494, _u19495), hAPP(c_Set_Oimage(_u19494, _u19493, c_Hilbert__Choice_Oinv__into(_u19493, _u19494, _u19496, _u19495)), _u19498)) = _u19498) )).
% 12.29/12.55 cnf(matrix-7921, plain, ( ( hAPP(c_Set_Oimage(_u19504, _u19506, _u19508), c_Orderings_Otop__class_Otop(tc_fun(_u19504, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19506, tc_HOL_Obool))) | ( hAPP(_u19508, hAPP(c_Hilbert__Choice_Oinv__into(_u19504, _u19506, c_Orderings_Otop__class_Otop(tc_fun(_u19504, tc_HOL_Obool)), _u19508), _u19499)) = _u19499) )).
% 12.29/12.55 cnf(matrix-7922, plain, ( ( hAPP(_u19509, hAPP(c_Hilbert__Choice_Oinv__into(_u19505, _u19507, c_Orderings_Otop__class_Otop(tc_fun(_u19505, tc_HOL_Obool)), _u19509), skolem528(_u19509, _u19507, _u19505))) != skolem528(_u19509, _u19507, _u19505)) | ( hAPP(c_Set_Oimage(_u19505, _u19507, _u19509), c_Orderings_Otop__class_Otop(tc_fun(_u19505, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19507, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7923, plain, ( ( hAPP(c_Set_Oimage(_u19510, _u19511, _u19512), c_Orderings_Otop__class_Otop(tc_fun(_u19510, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19511, tc_HOL_Obool))) | ( hAPP(_u19512, hAPP(c_Hilbert__Choice_Oinv__into(_u19510, _u19511, c_Orderings_Otop__class_Otop(tc_fun(_u19510, tc_HOL_Obool)), _u19512), _u19513)) = _u19513) )).
% 12.29/12.55 cnf(matrix-7924, plain, ( ( hAPP(c_Set_Oimage(_u19514, _u19515, _u19516), c_Orderings_Otop__class_Otop(tc_fun(_u19514, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19515, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19514, _u19515, _u19516), hAPP(c_Set_Oimage(_u19515, _u19514, c_Hilbert__Choice_Oinv__into(_u19514, _u19515, c_Orderings_Otop__class_Otop(tc_fun(_u19514, tc_HOL_Obool)), _u19516)), _u19517)) = _u19517) )).
% 12.29/12.55 cnf(matrix-7925, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19518, _u19519, _u19520, _u19521), _u19522) != hAPP(c_Hilbert__Choice_Oinv__into(_u19518, _u19519, _u19520, _u19521), _u19523)) | ~hBOOL(hAPP(hAPP(c_member(_u19519), _u19522), hAPP(c_Set_Oimage(_u19518, _u19519, _u19521), _u19520))) | ~hBOOL(hAPP(hAPP(c_member(_u19519), _u19523), hAPP(c_Set_Oimage(_u19518, _u19519, _u19521), _u19520))) | ( _u19522 = _u19523) )).
% 12.29/12.55 cnf(matrix-7926, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19524), _u19525), hAPP(c_Set_Oimage(_u19526, _u19524, _u19527), _u19528))) | hBOOL(hAPP(hAPP(c_member(_u19526), hAPP(c_Hilbert__Choice_Oinv__into(_u19526, _u19524, _u19528, _u19527), _u19525)), _u19528)) )).
% 12.29/12.55 cnf(matrix-7927, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19529), _u19530), hAPP(c_Set_Oimage(_u19531, _u19529, _u19532), _u19533))) | ( hAPP(_u19532, hAPP(c_Hilbert__Choice_Oinv__into(_u19531, _u19529, _u19533, _u19532), _u19530)) = _u19530) )).
% 12.29/12.55 cnf(matrix-7928, plain, ( ( c_Hilbert__Choice_Oinv__into(_u19534, _u19534, c_Orderings_Otop__class_Otop(tc_fun(_u19534, tc_HOL_Obool)), c_Fun_Oid(_u19534)) = c_Fun_Oid(_u19534)) )).
% 12.29/12.55 cnf(matrix-7929, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19535, _u19536, c_Orderings_Otop__class_Otop(tc_fun(_u19535, tc_HOL_Obool)), _u19537), _u19538) = c_Hilbert__Choice_OEps(_u19535, hAPP(hAPP(c_COMBC(_u19535, _u19536, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19536, tc_fun(_u19536, tc_HOL_Obool), _u19535), c_fequal), _u19537)), _u19538))) )).
% 12.29/12.55 cnf(matrix-7930, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19539, tc_HOL_Obool)), _u19540), hAPP(c_Set_Oimage(_u19541, _u19539, _u19542), _u19543))) | c_Fun_Oinj__on(_u19539, _u19541, c_Hilbert__Choice_Oinv__into(_u19541, _u19539, _u19543, _u19542), _u19540) )).
% 12.29/12.55 cnf(matrix-7931, plain, ( ~c_Fun_Oinj__on(_u19544, _u19545, _u19546, _u19547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19544, tc_HOL_Obool)), _u19548), _u19547)) | ( hAPP(c_Set_Oimage(_u19545, _u19544, c_Hilbert__Choice_Oinv__into(_u19544, _u19545, _u19547, _u19546)), hAPP(c_Set_Oimage(_u19544, _u19545, _u19546), _u19548)) = _u19548) )).
% 12.29/12.55 cnf(matrix-7932, plain, ( ~c_Fun_Oinj__on(_u19549, _u19550, _u19551, c_Orderings_Otop__class_Otop(tc_fun(_u19549, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19550, _u19549, c_Hilbert__Choice_Oinv__into(_u19549, _u19550, c_Orderings_Otop__class_Otop(tc_fun(_u19549, tc_HOL_Obool)), _u19551)), c_Orderings_Otop__class_Otop(tc_fun(_u19550, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19549, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7933, plain, ( ~c_Fun_Oinj__on(_u19552, _u19553, _u19554, c_Orderings_Otop__class_Otop(tc_fun(_u19552, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19553, _u19552, c_Hilbert__Choice_Oinv__into(_u19552, _u19553, c_Orderings_Otop__class_Otop(tc_fun(_u19552, tc_HOL_Obool)), _u19554)), hAPP(c_Set_Oimage(_u19552, _u19553, _u19554), _u19555)) = _u19555) )).
% 12.29/12.55 cnf(matrix-7934, plain, ( ~c_Fun_Oinj__on(_u19556, _u19557, _u19558, c_Orderings_Otop__class_Otop(tc_fun(_u19556, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19557, _u19556, c_Hilbert__Choice_Oinv__into(_u19556, _u19557, c_Orderings_Otop__class_Otop(tc_fun(_u19556, tc_HOL_Obool)), _u19558)), hAPP(c_Set_Oimage(_u19556, _u19557, _u19558), _u19559)) = _u19559) )).
% 12.29/12.55 cnf(matrix-7935, plain, ( ( hAPP(c_Set_Oimage(_u19560, _u19561, _u19562), c_Orderings_Otop__class_Otop(tc_fun(_u19560, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19561, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19561, _u19560, c_Hilbert__Choice_Oinv__into(_u19560, _u19561, c_Orderings_Otop__class_Otop(tc_fun(_u19560, tc_HOL_Obool)), _u19562), c_Orderings_Otop__class_Otop(tc_fun(_u19561, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7936, plain, ( ~c_Fun_Oinj__on(_u19563, _u19564, _u19565, c_Orderings_Otop__class_Otop(tc_fun(_u19563, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19564, _u19566, _u19563, hAPP(c_Fun_Ocomp(_u19563, _u19566, _u19564, _u19567), c_Hilbert__Choice_Oinv__into(_u19563, _u19564, c_Orderings_Otop__class_Otop(tc_fun(_u19563, tc_HOL_Obool)), _u19565))), _u19565) = _u19567) )).
% 12.29/12.55 cnf(matrix-7937, plain, ( ~c_Fun_Obij__betw(_u19568, _u19569, _u19570, c_Orderings_Otop__class_Otop(tc_fun(_u19568, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19569, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u19571, _u19568, _u19572, c_Orderings_Otop__class_Otop(tc_fun(_u19571, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19568, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19571, _u19569, c_Orderings_Otop__class_Otop(tc_fun(_u19571, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u19568, _u19569, _u19571, _u19570), _u19572)) = hAPP(c_Fun_Ocomp(_u19568, _u19571, _u19569, c_Hilbert__Choice_Oinv__into(_u19571, _u19568, c_Orderings_Otop__class_Otop(tc_fun(_u19571, tc_HOL_Obool)), _u19572)), c_Hilbert__Choice_Oinv__into(_u19568, _u19569, c_Orderings_Otop__class_Otop(tc_fun(_u19568, tc_HOL_Obool)), _u19570))) )).
% 12.29/12.55 cnf(matrix-7938, plain, ( ~c_Fun_Oinj__on(_u19573, _u19574, _u19575, hAPP(c_Set_Oimage(_u19576, _u19573, _u19577), _u19578)) | ~c_Fun_Oinj__on(_u19576, _u19573, _u19577, _u19578) | ~hBOOL(hAPP(hAPP(c_member(_u19574), _u19579), hAPP(c_Set_Oimage(_u19573, _u19574, _u19575), hAPP(c_Set_Oimage(_u19576, _u19573, _u19577), _u19578)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19576, _u19574, _u19578, hAPP(c_Fun_Ocomp(_u19573, _u19574, _u19576, _u19575), _u19577)), _u19579) = hAPP(hAPP(c_Fun_Ocomp(_u19573, _u19576, _u19574, c_Hilbert__Choice_Oinv__into(_u19576, _u19573, _u19578, _u19577)), c_Hilbert__Choice_Oinv__into(_u19573, _u19574, hAPP(c_Set_Oimage(_u19576, _u19573, _u19577), _u19578), _u19575)), _u19579)) )).
% 12.29/12.55 cnf(matrix-7939, plain, ( ( hAPP(c_Set_Oimage(_u19583, _u19585, _u19587), c_Orderings_Otop__class_Otop(tc_fun(_u19583, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19585, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19583, _u19585, _u19585, _u19587), c_Hilbert__Choice_Oinv__into(_u19583, _u19585, c_Orderings_Otop__class_Otop(tc_fun(_u19583, tc_HOL_Obool)), _u19587)) = c_Fun_Oid(_u19585)) )).
% 12.29/12.55 cnf(matrix-7940, plain, ( ( hAPP(c_Fun_Ocomp(_u19584, _u19586, _u19586, _u19588), c_Hilbert__Choice_Oinv__into(_u19584, _u19586, c_Orderings_Otop__class_Otop(tc_fun(_u19584, tc_HOL_Obool)), _u19588)) != c_Fun_Oid(_u19586)) | ( hAPP(c_Set_Oimage(_u19584, _u19586, _u19588), c_Orderings_Otop__class_Otop(tc_fun(_u19584, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19586, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7941, plain, ( ~c_Fun_Oinj__on(_u19589, _u19590, _u19591, c_Orderings_Otop__class_Otop(tc_fun(_u19589, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19590, _u19589, _u19589, c_Hilbert__Choice_Oinv__into(_u19589, _u19590, c_Orderings_Otop__class_Otop(tc_fun(_u19589, tc_HOL_Obool)), _u19591)), _u19591) = c_Fun_Oid(_u19589)) )).
% 12.29/12.55 cnf(matrix-7942, plain, ( ~c_Fun_Oinj__on(_u19595, _u19597, _u19599, c_Orderings_Otop__class_Otop(tc_fun(_u19595, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19597, _u19595, _u19595, c_Hilbert__Choice_Oinv__into(_u19595, _u19597, c_Orderings_Otop__class_Otop(tc_fun(_u19595, tc_HOL_Obool)), _u19599)), _u19599) = c_Fun_Oid(_u19595)) )).
% 12.29/12.55 cnf(matrix-7943, plain, ( ( hAPP(c_Fun_Ocomp(_u19598, _u19596, _u19596, c_Hilbert__Choice_Oinv__into(_u19596, _u19598, c_Orderings_Otop__class_Otop(tc_fun(_u19596, tc_HOL_Obool)), _u19600)), _u19600) != c_Fun_Oid(_u19596)) | c_Fun_Oinj__on(_u19596, _u19598, _u19600, c_Orderings_Otop__class_Otop(tc_fun(_u19596, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-7944, plain, ( ~c_Fun_Obij__betw(_u19601, _u19602, _u19603, c_Orderings_Otop__class_Otop(tc_fun(_u19601, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19602, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u19601, _u19602, _u19603), _u19604) = hAPP(c_Set_Oimage(_u19602, _u19601, c_Hilbert__Choice_Oinv__into(_u19601, _u19602, c_Orderings_Otop__class_Otop(tc_fun(_u19601, tc_HOL_Obool)), _u19603)), _u19604)) )).
% 12.29/12.55 cnf(matrix-7945, plain, ( ~c_Fun_Oinj__on(_u19606, _u19607, _u19608, c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool))) | hBOOL(hAPP(_u19609, _u19610)) | hBOOL(hAPP(hAPP(c_member(_u19607), skolem529(_u19610, _u19609, _u19608, _u19607, _u19606)), hAPP(c_Set_Oimage(_u19606, _u19607, _u19608), c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool))))) )).
% 12.29/12.55 cnf(matrix-7946, plain, ( ~c_Fun_Oinj__on(_u19606, _u19607, _u19608, c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool))) | hBOOL(hAPP(_u19609, _u19610)) | ~hBOOL(hAPP(_u19609, hAPP(c_Hilbert__Choice_Oinv__into(_u19606, _u19607, c_Orderings_Otop__class_Otop(tc_fun(_u19606, tc_HOL_Obool)), _u19608), skolem529(_u19610, _u19609, _u19608, _u19607, _u19606)))) )).
% 12.29/12.55 cnf(matrix-7947, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19611) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19611), _u19612) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19611), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19611)), c_List_Olist_ONil(_u19611)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19612)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19611, tc_List_Olist(_u19611)), tc_List_Olist(_u19611), c_Lazy__Sequence_Oproduct(_u19611, tc_List_Olist(_u19611), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19612), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19611), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19612), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19611, tc_List_Olist(_u19611), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19611), tc_List_Olist(_u19611)), tc_fun(tc_List_Olist(_u19611), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611))), _u19611), hAPP(c_COMBB(tc_List_Olist(_u19611), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19611)), tc_List_Olist(_u19611)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19611)))), c_List_Olist_OCons(_u19611))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19611))))) )).
% 12.29/12.55 cnf(matrix-7948, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19613) | ~class_Lazy__Sequence_Osmall__lazy(_u19614) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19613, _u19614), _u19615) = c_Lazy__Sequence_Oproduct(_u19613, _u19614, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19613, _u19615), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19614, _u19615))) )).
% 12.29/12.55 cnf(matrix-7949, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u19616, _u19617, _u19618), _u19619) = c_Lazy__Sequence_Oappend(_u19616, hAPP(_u19617, _u19619), hAPP(_u19618, _u19619))) )).
% 12.29/12.55 cnf(matrix-7950, plain, ( ~c_Wellfounded_Oacyclic(_u19622, hAPP(c_Set_OCollect(tc_prod(_u19622, _u19622)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19622, _u19622, tc_HOL_Obool), c_Predicate_Oconversep(_u19622, _u19622, _u19624)))) | c_Wellfounded_Oacyclic(_u19622, hAPP(c_Set_OCollect(tc_prod(_u19622, _u19622)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19622, _u19622, tc_HOL_Obool), _u19624))) )).
% 12.29/12.55 cnf(matrix-7951, plain, ( ~c_Wellfounded_Oacyclic(_u19623, hAPP(c_Set_OCollect(tc_prod(_u19623, _u19623)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19623, _u19623, tc_HOL_Obool), _u19625))) | c_Wellfounded_Oacyclic(_u19623, hAPP(c_Set_OCollect(tc_prod(_u19623, _u19623)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19623, _u19623, tc_HOL_Obool), c_Predicate_Oconversep(_u19623, _u19623, _u19625)))) )).
% 12.29/12.55 cnf(matrix-7952, plain, ( ( c_Predicate_Oconversep(_u19626, _u19627, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19626, tc_fun(_u19627, tc_HOL_Obool))), _u19628), _u19629)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19627, tc_fun(_u19626, tc_HOL_Obool))), c_Predicate_Oconversep(_u19626, _u19627, _u19628)), c_Predicate_Oconversep(_u19626, _u19627, _u19629))) )).
% 12.29/12.55 cnf(matrix-7953, plain, ( ( c_Predicate_Oconversep(_u19630, _u19630, c_fequal) = c_fequal) )).
% 12.29/12.55 cnf(matrix-7954, plain, ( ( c_Predicate_Oconversep(_u19631, _u19632, c_Predicate_Oconversep(_u19632, _u19631, _u19633)) = _u19633) )).
% 12.29/12.55 cnf(matrix-7955, plain, ( hBOOL(hAPP(hAPP(_u19643, _u19647), _u19645)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19639, _u19641, _u19643), _u19645), _u19647)) )).
% 12.29/12.55 cnf(matrix-7956, plain, ( ~hBOOL(hAPP(hAPP(_u19644, _u19648), _u19646)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19640, _u19642, _u19644), _u19646), _u19648)) )).
% 12.29/12.55 cnf(matrix-7957, plain, ( hBOOL(hAPP(hAPP(_u19658, _u19662), _u19660)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19654, _u19656, _u19658), _u19660), _u19662)) )).
% 12.29/12.55 cnf(matrix-7958, plain, ( ~hBOOL(hAPP(hAPP(_u19659, _u19663), _u19661)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19655, _u19657, _u19659), _u19661), _u19663)) )).
% 12.29/12.55 cnf(matrix-7959, plain, ( ~hBOOL(hAPP(hAPP(_u19664, _u19665), _u19666)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19667, _u19668, _u19664), _u19666), _u19665)) )).
% 12.29/12.55 cnf(matrix-7960, plain, ( hBOOL(hAPP(hAPP(_u19671, _u19673), _u19672)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19669, _u19670, _u19671), _u19672), _u19673)) )).
% 12.29/12.55 cnf(matrix-7961, plain, ( ( _u19679 != _u19681) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19677, _u19677, hAPP(hAPP(c_COMBB(tc_fun(_u19677, tc_HOL_Obool), tc_fun(_u19677, tc_HOL_Obool), _u19677), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19677), c_fNot)), c_fequal)), _u19679), _u19681)) )).
% 12.29/12.55 cnf(matrix-7962, plain, ( ( _u19680 = _u19682) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19678, _u19678, hAPP(hAPP(c_COMBB(tc_fun(_u19678, tc_HOL_Obool), tc_fun(_u19678, tc_HOL_Obool), _u19678), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19678), c_fNot)), c_fequal)), _u19680), _u19682)) )).
% 12.29/12.55 cnf(matrix-7963, plain, ( ( c_Predicate_Oconversep(_u19683, _u19684, c_Predicate_Opred__comp(_u19683, _u19685, _u19684, _u19686, _u19687)) = c_Predicate_Opred__comp(_u19684, _u19685, _u19683, c_Predicate_Oconversep(_u19685, _u19684, _u19687), c_Predicate_Oconversep(_u19683, _u19685, _u19686))) )).
% 12.29/12.55 cnf(matrix-7964, plain, ( ( c_Predicate_Oconversep(_u19688, _u19689, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19688, tc_fun(_u19689, tc_HOL_Obool))), _u19690), _u19691)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19689, tc_fun(_u19688, tc_HOL_Obool))), c_Predicate_Oconversep(_u19688, _u19689, _u19690)), c_Predicate_Oconversep(_u19688, _u19689, _u19691))) )).
% 12.29/12.55 cnf(matrix-7965, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19697, _u19699, hAPP(hAPP(c_COMBC(_u19697, tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_fun(_u19699, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19699, tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_fun(_u19699, tc_HOL_Obool)), _u19697), c_COMBC(_u19699, tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19699, tc_prod(_u19697, _u19699)), tc_fun(_u19699, tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool)), _u19697), hAPP(c_COMBB(tc_prod(_u19697, _u19699), tc_fun(tc_fun(tc_prod(_u19697, _u19699), tc_HOL_Obool), tc_HOL_Obool), _u19699), c_member(tc_prod(_u19697, _u19699)))), c_Product__Type_OPair(_u19697, _u19699)))), _u19701)), _u19703), _u19705)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19699, _u19697)), hAPP(hAPP(c_Product__Type_OPair(_u19699, _u19697), _u19703), _u19705)), hAPP(c_Relation_Oconverse(_u19697, _u19699), _u19701))) )).
% 12.29/12.55 cnf(matrix-7966, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19700, _u19698)), hAPP(hAPP(c_Product__Type_OPair(_u19700, _u19698), _u19704), _u19706)), hAPP(c_Relation_Oconverse(_u19698, _u19700), _u19702))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19698, _u19700, hAPP(hAPP(c_COMBC(_u19698, tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_fun(_u19700, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19700, tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_fun(_u19700, tc_HOL_Obool)), _u19698), c_COMBC(_u19700, tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19700, tc_prod(_u19698, _u19700)), tc_fun(_u19700, tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool)), _u19698), hAPP(c_COMBB(tc_prod(_u19698, _u19700), tc_fun(tc_fun(tc_prod(_u19698, _u19700), tc_HOL_Obool), tc_HOL_Obool), _u19700), c_member(tc_prod(_u19698, _u19700)))), c_Product__Type_OPair(_u19698, _u19700)))), _u19702)), _u19704), _u19706)) )).
% 12.29/12.55 cnf(matrix-7967, plain, ( ( c_New__Random__Sequence_Opos__union(_u19707, _u19708, _u19709, _u19710, _u19711, _u19712) = c_New__DSequence_Opos__union(_u19707, hAPP(hAPP(hAPP(_u19708, _u19710), _u19711), _u19712), hAPP(hAPP(hAPP(_u19709, _u19710), _u19711), _u19712))) )).
% 12.29/12.55 cnf(matrix-7968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19715), _u19717)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19715, _u19717) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.29/12.55 cnf(matrix-7969, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19716), _u19718)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19716, _u19718) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19718), c_Lazy__Sequence_Osmall__lazy_H(_u19716, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19718), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.55 cnf(matrix-7970, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19719) = c_Lazy__Sequence_Osmall__lazy_H(_u19719, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19719))) )).
% 12.29/12.55 cnf(matrix-7971, 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), _u19720), _u19721))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19720), _u19721)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19720, _u19721) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 12.29/12.55 cnf(matrix-7972, 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), _u19720), _u19721))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19720), _u19721)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19720, _u19721) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19721), c_Lazy__Sequence_Osmall__lazy_H(_u19720, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19721), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 12.29/12.55 cnf(matrix-7973, plain, ( ( _u19722 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19723), c_List_Oreplicate(_u19723, _u19722, _u19724)) = c_List_Oreplicate(_u19723, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19722), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19724)) )).
% 12.29/12.55 cnf(matrix-7974, plain, ( ( hAPP(hAPP(c_List_Omap(_u19725, _u19726), _u19727), c_List_Oreplicate(_u19725, _u19728, _u19729)) = c_List_Oreplicate(_u19726, _u19728, hAPP(_u19727, _u19729))) )).
% 12.29/12.55 cnf(matrix-7975, plain, ( ( c_List_Oreplicate(_u19730, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19731) = c_List_Olist_ONil(_u19730)) )).
% 12.29/12.55 cnf(matrix-7976, plain, ( ( _u19737 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19735) != c_List_Oreplicate(_u19735, _u19737, _u19739)) )).
% 12.29/12.55 cnf(matrix-7977, plain, ( ( _u19738 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19736) = c_List_Oreplicate(_u19736, _u19738, _u19740)) )).
% 12.29/12.55 cnf(matrix-7978, plain, ( ( _u19746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19744, _u19746, _u19748) != c_List_Olist_ONil(_u19744)) )).
% 12.29/12.55 cnf(matrix-7979, plain, ( ( _u19747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19745, _u19747, _u19749) = c_List_Olist_ONil(_u19745)) )).
% 12.29/12.55 cnf(matrix-7980, plain, ( ( c_List_Oconcat(_u19750, c_List_Oreplicate(tc_List_Olist(_u19750), _u19751, c_List_Olist_ONil(_u19750))) = c_List_Olist_ONil(_u19750)) )).
% 12.29/12.55 cnf(matrix-7981, plain, ( ~hBOOL(hAPP(_u19756, _u19758)) | ( hAPP(c_List_Ofilter(_u19760, _u19756), c_List_Oreplicate(_u19760, _u19762, _u19758)) = c_List_Oreplicate(_u19760, _u19762, _u19758)) )).
% 12.29/12.55 cnf(matrix-7982, plain, ( hBOOL(hAPP(_u19757, _u19759)) | ( hAPP(c_List_Ofilter(_u19761, _u19757), c_List_Oreplicate(_u19761, _u19763, _u19759)) = c_List_Olist_ONil(_u19761)) )).
% 12.29/12.55 cnf(matrix-7983, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19764), c_List_Oreplicate(_u19764, _u19765, _u19766)), c_List_Oreplicate(_u19764, _u19767, _u19766)) = hAPP(hAPP(c_List_Oappend(_u19764), c_List_Oreplicate(_u19764, _u19767, _u19766)), c_List_Oreplicate(_u19764, _u19765, _u19766))) )).
% 12.29/12.55 cnf(matrix-7984, plain, ( ( c_List_Oreplicate(_u19768, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19769), _u19770), _u19771) = hAPP(hAPP(c_List_Oappend(_u19768), c_List_Oreplicate(_u19768, _u19769, _u19771)), c_List_Oreplicate(_u19768, _u19770, _u19771))) )).
% 12.29/12.55 cnf(matrix-7985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19772), _u19773)) | ( hAPP(hAPP(c_List_Onth(_u19774), c_List_Oreplicate(_u19774, _u19773, _u19775)), _u19772) = _u19775) )).
% 12.29/12.55 cnf(matrix-7986, plain, ( ( c_List_Oreplicate(_u19781, _u19783, _u19785) != c_List_Oreplicate(_u19781, _u19787, _u19789)) | ( _u19783 = _u19787) )).
% 12.29/12.55 cnf(matrix-7987, plain, ( ( c_List_Oreplicate(_u19781, _u19783, _u19785) != c_List_Oreplicate(_u19781, _u19787, _u19789)) | ( _u19783 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19785 = _u19789) )).
% 12.29/12.55 cnf(matrix-7988, plain, ( ( c_List_Oreplicate(_u19782, _u19784, _u19786) = c_List_Oreplicate(_u19782, _u19788, _u19790)) | ( _u19784 != _u19788) | ( _u19784 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7989, plain, ( ( c_List_Oreplicate(_u19782, _u19784, _u19786) = c_List_Oreplicate(_u19782, _u19788, _u19790)) | ( _u19784 != _u19788) | ( _u19786 != _u19790) )).
% 12.29/12.55 cnf(matrix-7990, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19797), _u19791), hAPP(c_List_Oset(_u19797), c_List_Oreplicate(_u19797, _u19799, _u19801)))) | ~hBOOL(hAPP(_u19803, _u19791)) | hBOOL(hAPP(_u19803, _u19801)) )).
% 12.29/12.55 cnf(matrix-7991, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19797), _u19791), hAPP(c_List_Oset(_u19797), c_List_Oreplicate(_u19797, _u19799, _u19801)))) | ~hBOOL(hAPP(_u19803, _u19791)) | ( _u19799 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7992, plain, ( ~hBOOL(hAPP(_u19804, _u19802)) | ( _u19800 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19798), skolem530(_u19804, _u19802, _u19800, _u19798)), hAPP(c_List_Oset(_u19798), c_List_Oreplicate(_u19798, _u19800, _u19802)))) )).
% 12.29/12.55 cnf(matrix-7993, plain, ( ~hBOOL(hAPP(_u19804, _u19802)) | ( _u19800 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19804, skolem530(_u19804, _u19802, _u19800, _u19798))) )).
% 12.29/12.55 cnf(matrix-7994, plain, ( hBOOL(hAPP(_u19817, _u19815)) | ( _u19813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19811), skolem531(_u19817, _u19815, _u19813, _u19811)), hAPP(c_List_Oset(_u19811), c_List_Oreplicate(_u19811, _u19813, _u19815)))) )).
% 12.29/12.55 cnf(matrix-7995, plain, ( hBOOL(hAPP(_u19817, _u19815)) | ( _u19813 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19817, skolem531(_u19817, _u19815, _u19813, _u19811))) )).
% 12.29/12.55 cnf(matrix-7996, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19812), _u19806), hAPP(c_List_Oset(_u19812), c_List_Oreplicate(_u19812, _u19814, _u19816)))) | hBOOL(hAPP(_u19818, _u19806)) | ~hBOOL(hAPP(_u19818, _u19816)) )).
% 12.29/12.55 cnf(matrix-7997, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19812), _u19806), hAPP(c_List_Oset(_u19812), c_List_Oreplicate(_u19812, _u19814, _u19816)))) | hBOOL(hAPP(_u19818, _u19806)) | ( _u19814 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-7998, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19819, _u19820), c_List_Oreplicate(_u19819, _u19821, _u19822)), c_List_Oreplicate(_u19820, _u19823, _u19824)) = c_List_Oreplicate(tc_prod(_u19819, _u19820), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19821), _u19823), hAPP(hAPP(c_Product__Type_OPair(_u19819, _u19820), _u19822), _u19824))) )).
% 12.29/12.55 cnf(matrix-7999, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19825), _u19826), c_List_Oreplicate(_u19825, _u19827, _u19828)) = c_List_Oreplicate(_u19825, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19827), _u19826), _u19828)) )).
% 12.29/12.55 cnf(matrix-8000, plain, ( ( _u19829 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19830), c_List_Oreplicate(_u19830, _u19829, _u19831)) = _u19831) )).
% 12.29/12.55 cnf(matrix-8001, plain, ( ( hAPP(hAPP(c_List_Otake(_u19832), _u19833), c_List_Oreplicate(_u19832, _u19834, _u19835)) = c_List_Oreplicate(_u19832, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19833), _u19834), _u19835)) )).
% 12.29/12.55 cnf(matrix-8002, plain, ( ( _u19836 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19837, c_List_Oreplicate(_u19837, _u19836, _u19838)) = _u19838) )).
% 12.29/12.55 cnf(matrix-8003, plain, ( ( hAPP(c_List_Orev(_u19839), c_List_Oreplicate(_u19839, _u19840, _u19841)) = c_List_Oreplicate(_u19839, _u19840, _u19841)) )).
% 12.29/12.55 cnf(matrix-8004, plain, ( ( c_List_Oreplicate(_u19842, hAPP(c_Nat_OSuc, _u19843), _u19844) = hAPP(hAPP(c_List_Olist_OCons(_u19842), _u19844), c_List_Oreplicate(_u19842, _u19843, _u19844))) )).
% 12.29/12.55 cnf(matrix-8005, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19845), c_List_Oreplicate(_u19845, _u19846, _u19847)), hAPP(hAPP(c_List_Olist_OCons(_u19845), _u19847), _u19848)) = hAPP(hAPP(c_List_Olist_OCons(_u19845), _u19847), hAPP(hAPP(c_List_Oappend(_u19845), c_List_Oreplicate(_u19845, _u19846, _u19847)), _u19848))) )).
% 12.29/12.55 cnf(matrix-8006, plain, ( ( hAPP(hAPP(c_List_Omap(_u19849, _u19850), hAPP(c_COMBK(_u19850, _u19849), _u19851)), _u19852) = c_List_Oreplicate(_u19850, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19849)), _u19852), _u19851)) )).
% 12.29/12.55 cnf(matrix-8007, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19853)), c_List_Oreplicate(_u19853, _u19854, _u19855)) = _u19854) )).
% 12.29/12.55 cnf(matrix-8008, plain, ( ( c_List_Oreplicate(_u19856, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19856)), hAPP(c_List_Ofilter(_u19856, hAPP(c_fequal, _u19857)), _u19858)), _u19857) = hAPP(c_List_Ofilter(_u19856, hAPP(c_fequal, _u19857)), _u19858)) )).
% 12.29/12.55 cnf(matrix-8009, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19863), _u19865), hAPP(c_List_Oset(_u19863), c_List_Oreplicate(_u19863, _u19867, _u19869)))) | ( _u19865 = _u19869) )).
% 12.29/12.55 cnf(matrix-8010, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19863), _u19865), hAPP(c_List_Oset(_u19863), c_List_Oreplicate(_u19863, _u19867, _u19869)))) | ( _u19867 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-8011, plain, ( ( _u19866 != _u19870) | ( _u19868 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19864), _u19866), hAPP(c_List_Oset(_u19864), c_List_Oreplicate(_u19864, _u19868, _u19870)))) )).
% 12.29/12.55 cnf(matrix-8012, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19871), c_List_Oreplicate(_u19871, _u19872, _u19873)), hAPP(hAPP(c_List_Olist_OCons(_u19871), _u19873), c_List_Olist_ONil(_u19871))) = hAPP(hAPP(c_List_Olist_OCons(_u19871), _u19873), c_List_Oreplicate(_u19871, _u19872, _u19873))) )).
% 12.29/12.55 cnf(matrix-8013, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19874), hAPP(c_COMBK(_u19874, tc_Nat_Onat), _u19875)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19876)) = c_List_Oreplicate(_u19874, _u19876, _u19875)) )).
% 12.29/12.55 cnf(matrix-8014, plain, ( ( _u19877 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19878), c_List_Oreplicate(_u19878, _u19877, _u19879)) = hAPP(hAPP(c_Set_Oinsert(_u19878), _u19879), c_Orderings_Obot__class_Obot(tc_fun(_u19878, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8015, plain, ( ( _u19883 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19885), c_List_Oreplicate(_u19885, _u19883, _u19887)) = c_Orderings_Obot__class_Obot(tc_fun(_u19885, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8016, plain, ( ( _u19884 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19886), c_List_Oreplicate(_u19886, _u19884, _u19888)) = hAPP(hAPP(c_Set_Oinsert(_u19886), _u19888), c_Orderings_Obot__class_Obot(tc_fun(_u19886, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8017, plain, ( ( hAPP(c_List_Oset(_u19889), c_List_Oreplicate(_u19889, hAPP(c_Nat_OSuc, _u19890), _u19891)) = hAPP(hAPP(c_Set_Oinsert(_u19889), _u19891), c_Orderings_Obot__class_Obot(tc_fun(_u19889, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8018, 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), _u19894), _u19895))) | hBOOL(hAPP(hAPP(_u19896, _u19894), _u19895)) | 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), skolem532(_u19896, _u19895, _u19894)), skolem533(_u19896, _u19895, _u19894)))) )).
% 12.29/12.55 cnf(matrix-8019, 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), _u19894), _u19895))) | hBOOL(hAPP(hAPP(_u19896, _u19894), _u19895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem532(_u19896, _u19895, _u19894)), skolem533(_u19896, _u19895, _u19894))) | hBOOL(hAPP(hAPP(_u19896, skolem532(_u19896, _u19895, _u19894)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem533(_u19896, _u19895, _u19894)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 12.29/12.55 cnf(matrix-8020, 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), _u19894), _u19895))) | hBOOL(hAPP(hAPP(_u19896, _u19894), _u19895)) | ~hBOOL(hAPP(hAPP(_u19896, skolem532(_u19896, _u19895, _u19894)), skolem533(_u19896, _u19895, _u19894))) )).
% 12.29/12.55 cnf(matrix-8021, plain, ( ( c_Predicate_Opred__comp(_u19897, _u19897, _u19897, c_fequal, c_Predicate_Opred__comp(_u19897, _u19897, _u19897, _u19898, c_fequal)) = _u19898) )).
% 12.29/12.55 cnf(matrix-8022, plain, ( ~class_Fields_Olinordered__field(_u19900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19900), _u19901), _u19902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u19900), c_Groups_Ozero__class_Ozero(_u19900)), skolem534(_u19902, _u19901, _u19900))) )).
% 12.29/12.55 cnf(matrix-8023, plain, ( ~class_Fields_Olinordered__field(_u19900) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19900), _u19901), _u19902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19900), _u19901), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u19900), _u19902), skolem534(_u19902, _u19901, _u19900)))) )).
% 12.29/12.55 cnf(matrix-8024, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19903)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19903, _u19904, _u19905)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19903)), _u19905)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-8025, plain, ( ( c_Lazy__Sequence_Oappend(_u19906, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19906, _u19907, _u19908), _u19909) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19906, _u19907, c_Lazy__Sequence_Oappend(_u19906, _u19908, _u19909))) )).
% 12.29/12.55 cnf(matrix-8026, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19917, _u19919) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19921, _u19923)) | ( _u19917 = _u19921) )).
% 12.29/12.55 cnf(matrix-8027, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19917, _u19919) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19915, _u19921, _u19923)) | ( _u19919 = _u19923) )).
% 12.29/12.55 cnf(matrix-8028, plain, ( ( _u19918 != _u19922) | ( _u19920 != _u19924) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19916, _u19918, _u19920) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19916, _u19922, _u19924)) )).
% 12.29/12.55 cnf(matrix-8029, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19925, _u19926), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19925, _u19927, _u19928)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19926, _u19927)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19925, _u19926), _u19928))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-8030, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19929)), _u19930) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19929, tc_Lazy__Sequence_Olazy__sequence(_u19929)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19929, tc_Lazy__Sequence_Olazy__sequence(_u19929), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19929), tc_Nat_Onat), _u19929), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19929), 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(_u19929)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19929)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19929), _u19930))) )).
% 12.29/12.55 cnf(matrix-8031, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19931, _u19932), _u19933) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19931, tc_Lazy__Sequence_Olazy__sequence(_u19931)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19931, tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19931, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), _u19931), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19931), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19931)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19931, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19931), tc_Nat_Onat)), _u19931), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19931))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19931), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19932))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19931, _u19932))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19931), _u19933))) )).
% 12.29/12.55 cnf(matrix-8032, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19934, _u19935, _u19936, _u19937, _u19938) = c_Option_Ooption_Ooption__case(_u19934, tc_prod(_u19935, tc_Lazy__Sequence_Olazy__sequence(_u19935)), _u19936, hAPP(c_Product__Type_Oprod_Oprod__case(_u19935, tc_Lazy__Sequence_Olazy__sequence(_u19935), _u19934), _u19937), hAPP(c_Lazy__Sequence_Oyield(_u19935), _u19938))) )).
% 12.29/12.55 cnf(matrix-8033, plain, ( ( c_Lazy__Sequence_Oyieldn(_u19939) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19939), _u19939, c_Lazy__Sequence_Oyield(_u19939))) )).
% 12.29/12.55 cnf(matrix-8034, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19940, _u19941, _u19942, _u19943, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19941, _u19944, _u19945)) = hAPP(hAPP(_u19943, _u19944), _u19945)) )).
% 12.29/12.55 cnf(matrix-8035, plain, ( c_Relation_Orefl__on(_u19949, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(_u19949, tc_HOL_Obool)), _u19948), _u19950), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(tc_prod(_u19949, _u19949), tc_HOL_Obool)), _u19948), _u19951)) | hBOOL(hAPP(hAPP(c_member(_u19947), skolem535(_u19951, _u19950, _u19949, _u19948, _u19947)), _u19948)) )).
% 12.29/12.55 cnf(matrix-8036, plain, ( c_Relation_Orefl__on(_u19949, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(_u19949, tc_HOL_Obool)), _u19948), _u19950), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19947, tc_fun(tc_prod(_u19949, _u19949), tc_HOL_Obool)), _u19948), _u19951)) | ~c_Relation_Orefl__on(_u19949, hAPP(_u19950, skolem535(_u19951, _u19950, _u19949, _u19948, _u19947)), hAPP(_u19951, skolem535(_u19951, _u19950, _u19949, _u19948, _u19947))) )).
% 12.29/12.55 cnf(matrix-8037, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19955), _u19957), hAPP(c_List_Oset(_u19955), _u19959))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19955), _u19959), _u19957)) )).
% 12.29/12.55 cnf(matrix-8038, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19956), _u19960), _u19958)) | hBOOL(hAPP(hAPP(c_member(_u19956), _u19958), hAPP(c_List_Oset(_u19956), _u19960))) )).
% 12.29/12.55 cnf(matrix-8039, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19965), hAPP(hAPP(c_List_Olist_OCons(_u19965), _u19967), _u19969)), _u19971)) | ( _u19967 = _u19971) | hBOOL(hAPP(hAPP(c_List_Omember(_u19965), _u19969), _u19971)) )).
% 12.29/12.55 cnf(matrix-8040, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19966), hAPP(hAPP(c_List_Olist_OCons(_u19966), _u19968), _u19970)), _u19972)) | ( _u19968 != _u19972) )).
% 12.29/12.55 cnf(matrix-8041, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19966), hAPP(hAPP(c_List_Olist_OCons(_u19966), _u19968), _u19970)), _u19972)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19966), _u19970), _u19972)) )).
% 12.29/12.55 cnf(matrix-8042, plain, ( ( c_List_Omember(_u19973) = c_List_Oset(_u19973)) )).
% 12.29/12.55 cnf(matrix-8043, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19974), c_List_Olist_ONil(_u19974)), _u19975)) )).
% 12.29/12.55 cnf(matrix-8044, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19979), _u19981), _u19983)) | hBOOL(hAPP(hAPP(c_member(_u19979), _u19983), hAPP(c_List_Oset(_u19979), _u19981))) )).
% 12.29/12.55 cnf(matrix-8045, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19980), _u19984), hAPP(c_List_Oset(_u19980), _u19982))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19980), _u19982), _u19984)) )).
% 12.29/12.55 cnf(matrix-8046, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u19985, _u19986, _u19987, _u19988, c_Nitpick_Opair__box_OPairBox(_u19985, _u19986, _u19989, _u19990)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19987, _u19989)), hAPP(_u19988, _u19990))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.29/12.55 cnf(matrix-8047, plain, ( ~c_List_Olist__ex1(_u19998, _u20000, _u20002) | hBOOL(hAPP(hAPP(c_member(_u19998), skolem536(_u20002, _u20000, _u19998)), hAPP(c_List_Oset(_u19998), _u20002))) )).
% 12.29/12.55 cnf(matrix-8048, plain, ( ~c_List_Olist__ex1(_u19998, _u20000, _u20002) | hBOOL(hAPP(_u20000, skolem536(_u20002, _u20000, _u19998))) )).
% 12.29/12.55 cnf(matrix-8049, plain, ( ~c_List_Olist__ex1(_u19998, _u20000, _u20002) | ~hBOOL(hAPP(hAPP(c_member(_u19998), _u19991), hAPP(c_List_Oset(_u19998), _u20002))) | ~hBOOL(hAPP(_u20000, _u19991)) | ( _u19991 = skolem536(_u20002, _u20000, _u19998)) )).
% 12.29/12.55 cnf(matrix-8050, plain, ( c_List_Olist__ex1(_u19999, _u20001, _u20003) | ~hBOOL(hAPP(hAPP(c_member(_u19999), _u19994), hAPP(c_List_Oset(_u19999), _u20003))) | ~hBOOL(hAPP(_u20001, _u19994)) | hBOOL(hAPP(hAPP(c_member(_u19999), skolem537(_u20003, _u20001, _u19999, _u19994)), hAPP(c_List_Oset(_u19999), _u20003))) )).
% 12.29/12.55 cnf(matrix-8051, plain, ( c_List_Olist__ex1(_u19999, _u20001, _u20003) | ~hBOOL(hAPP(hAPP(c_member(_u19999), _u19994), hAPP(c_List_Oset(_u19999), _u20003))) | ~hBOOL(hAPP(_u20001, _u19994)) | hBOOL(hAPP(_u20001, skolem537(_u20003, _u20001, _u19999, _u19994))) )).
% 12.29/12.55 cnf(matrix-8052, plain, ( c_List_Olist__ex1(_u19999, _u20001, _u20003) | ~hBOOL(hAPP(hAPP(c_member(_u19999), _u19994), hAPP(c_List_Oset(_u19999), _u20003))) | ~hBOOL(hAPP(_u20001, _u19994)) | ( skolem537(_u20003, _u20001, _u19999, _u19994) != _u19994) )).
% 12.29/12.55 cnf(matrix-8053, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20014, _u20016) != c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20018, _u20020)) | ( _u20014 = _u20018) )).
% 12.29/12.55 cnf(matrix-8054, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20014, _u20016) != c_Nitpick_Opair__box_OPairBox(_u20010, _u20012, _u20018, _u20020)) | ( _u20016 = _u20020) )).
% 12.29/12.55 cnf(matrix-8055, plain, ( ( _u20015 != _u20019) | ( _u20017 != _u20021) | ( c_Nitpick_Opair__box_OPairBox(_u20011, _u20013, _u20015, _u20017) = c_Nitpick_Opair__box_OPairBox(_u20011, _u20013, _u20019, _u20021)) )).
% 12.29/12.55 cnf(matrix-8056, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u20022, _u20023)), c_Nitpick_Opair__box_OPairBox(_u20022, _u20023, _u20024, _u20025)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-8057, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u20026, _u20027, _u20028, _u20029, c_Nitpick_Opair__box_OPairBox(_u20026, _u20027, _u20030, _u20031)) = hAPP(hAPP(_u20029, _u20030), _u20031)) )).
% 12.29/12.55 cnf(matrix-8058, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u20032, _u20033, _u20034, _u20035, c_Nitpick_Opair__box_OPairBox(_u20032, _u20033, _u20036, _u20037)) = hAPP(hAPP(_u20035, _u20036), _u20037)) )).
% 12.29/12.55 cnf(matrix-8059, plain, ( ( c_FunDef_OTHE__default(_u20047, _u20049, _u20045) = c_HOL_OThe(_u20047, _u20045)) | ~hBOOL(hAPP(_u20045, _u20039)) | hBOOL(hAPP(_u20045, skolem538(_u20049, _u20047, _u20045, _u20039))) )).
% 12.29/12.55 cnf(matrix-8060, plain, ( ( c_FunDef_OTHE__default(_u20047, _u20049, _u20045) = c_HOL_OThe(_u20047, _u20045)) | ~hBOOL(hAPP(_u20045, _u20039)) | ( skolem538(_u20049, _u20047, _u20045, _u20039) != _u20039) )).
% 12.29/12.55 cnf(matrix-8061, plain, ( ( c_FunDef_OTHE__default(_u20048, _u20050, _u20046) = _u20050) | hBOOL(hAPP(_u20046, skolem539(_u20050, _u20048, _u20046))) )).
% 12.29/12.55 cnf(matrix-8062, plain, ( ( c_FunDef_OTHE__default(_u20048, _u20050, _u20046) = _u20050) | ~hBOOL(hAPP(_u20046, _u20040)) | ( _u20040 = skolem539(_u20050, _u20048, _u20046)) )).
% 12.29/12.55 cnf(matrix-8063, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem541(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.55 cnf(matrix-8064, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem542(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.55 cnf(matrix-8065, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( skolem541(_u20058, _u20057, _u20056, _u20055) != skolem542(_u20058, _u20057, _u20056, _u20055)) )).
% 12.29/12.55 cnf(matrix-8066, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem541(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.55 cnf(matrix-8067, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem542(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.55 cnf(matrix-8068, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem540(_u20058, _u20057, _u20056, _u20055)), _u20057)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( hAPP(_u20058, skolem543(_u20058, _u20057, _u20056, _u20055)) != c_Groups_Ozero__class_Ozero(_u20055)) )).
% 12.29/12.55 cnf(matrix-8069, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem541(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.55 cnf(matrix-8070, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20056, tc_HOL_Obool)), skolem542(_u20058, _u20057, _u20056, _u20055)), _u20057)) )).
% 12.29/12.55 cnf(matrix-8071, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( skolem541(_u20058, _u20057, _u20056, _u20055) != skolem542(_u20058, _u20057, _u20056, _u20055)) )).
% 12.29/12.55 cnf(matrix-8072, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem541(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.55 cnf(matrix-8073, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | hBOOL(hAPP(hAPP(c_member(_u20056), skolem543(_u20058, _u20057, _u20056, _u20055)), skolem542(_u20058, _u20057, _u20056, _u20055))) )).
% 12.29/12.55 cnf(matrix-8074, plain, ( ~class_Groups_Ocomm__monoid__add(_u20055) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20056, tc_HOL_Obool)), _u20057)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20056), skolem540(_u20058, _u20057, _u20056, _u20055))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20056, tc_HOL_Obool), _u20057)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20056, tc_HOL_Obool), _u20055), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20056, _u20055), _u20058)), _u20057)) | ( hAPP(_u20058, skolem543(_u20058, _u20057, _u20056, _u20055)) != c_Groups_Ozero__class_Ozero(_u20055)) )).
% 12.29/12.55 cnf(matrix-8075, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20061)), _u20062)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20061)), _u20059), _u20062)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20061)), _u20059)), skolem544(_u20062, _u20061))) )).
% 12.29/12.55 cnf(matrix-8076, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20063)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20063)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-8077, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20064) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20064, _u20065, _u20066)) )).
% 12.29/12.55 cnf(matrix-8078, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20068, _u20069) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20067)) )).
% 12.29/12.55 cnf(matrix-8079, plain, ( ( c_Lazy__Sequence_Oappend(_u20070, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20070), _u20071) = _u20071) )).
% 12.29/12.55 cnf(matrix-8080, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20072, _u20073, _u20074, _u20075, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20073)) = _u20074) )).
% 12.29/12.55 cnf(matrix-8081, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20076, _u20077), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20076)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-8082, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u20081, c_List_Oupto(_u20083, _u20085)) | c_List_Oall__interval__int(_u20081, _u20083, _u20085) )).
% 12.29/12.55 cnf(matrix-8083, plain, ( ~c_List_Oall__interval__int(_u20082, _u20084, _u20086) | c_List_Olist__all(tc_Int_Oint, _u20082, c_List_Oupto(_u20084, _u20086)) )).
% 12.29/12.55 cnf(matrix-8084, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u20090, c_List_Oupto(_u20092, _u20094)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20090), _u20092, _u20094) )).
% 12.29/12.55 cnf(matrix-8085, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20091), _u20093, _u20095) | c_List_Olist__ex(tc_Int_Oint, _u20091, c_List_Oupto(_u20093, _u20095)) )).
% 12.29/12.55 cnf(matrix-8086, plain, ( ~c_List_Oall__interval__int(_u20101, _u20103, _u20105) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20096), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20103, _u20105))) | hBOOL(hAPP(_u20101, _u20096)) )).
% 12.29/12.55 cnf(matrix-8087, plain, ( c_List_Oall__interval__int(_u20102, _u20104, _u20106) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem545(_u20106, _u20104, _u20102)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20104, _u20106))) )).
% 12.29/12.55 cnf(matrix-8088, plain, ( c_List_Oall__interval__int(_u20102, _u20104, _u20106) | ~hBOOL(hAPP(_u20102, skolem545(_u20106, _u20104, _u20102))) )).
% 12.29/12.55 cnf(matrix-8089, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20107, _u20108, _u20109, c_Code__Numeral_OSuc__code__numeral(_u20110)) = hAPP(hAPP(_u20109, _u20110), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20107, _u20108, _u20109, _u20110))) )).
% 12.29/12.55 cnf(matrix-8090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20115), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20117, _u20119, _u20115, _u20121) = 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(_u20117)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20117))) )).
% 12.29/12.55 cnf(matrix-8091, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20116), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20118, _u20120, _u20116, _u20122) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20118, 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20120, _u20122)), 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(_u20118)))), 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(_u20118)))), 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20118, 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(_u20118)))), 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20118, _u20120, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20116), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20122))), 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(_u20118)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), 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(_u20118)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20118, 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(_u20118)))), 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(_u20118)))), 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(_u20118))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), 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(_u20118)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118))))), tc_prod(_u20118, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20118)), hAPP(hAPP(c_COMBB(_u20118, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20118)))), tc_prod(_u20118, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20118)), c_Product__Type_Ofst(_u20118, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 12.29/12.55 cnf(matrix-8092, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20123, _u20124, _u20125, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u20124) )).
% 12.29/12.55 cnf(matrix-8093, plain, ( ( c_Random__Sequence_Oempty(_u20126, _u20127, _u20128) = 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(_u20126)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20126))) )).
% 12.29/12.55 cnf(matrix-8094, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20129), _u20130), _u20131), _u20132) = 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(_u20129)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20129), _u20130))) )).
% 12.29/12.55 cnf(matrix-8095, plain, ( ( c_Random__Sequence_Omap(_u20133, _u20134, _u20135, _u20136) = c_Random__Sequence_Obind(_u20133, _u20134, _u20136, hAPP(c_Fun_Ocomp(_u20134, 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(_u20134)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20133, c_Random__Sequence_Osingle(_u20134)), _u20135))) )).
% 12.29/12.55 cnf(matrix-8096, plain, ( ~hBOOL(hAPP(hAPP(_u20139, hAPP(c_Product__Type_Osnd(_u20140, _u20141), _u20142)), hAPP(c_Product__Type_Ofst(_u20140, _u20141), _u20142))) | hBOOL(hAPP(_u20143, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20140, _u20141, _u20145), _u20144), _u20142))) | hBOOL(hAPP(hAPP(_u20139, skolem547(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139)), skolem546(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139))) )).
% 12.29/12.55 cnf(matrix-8097, plain, ( ~hBOOL(hAPP(hAPP(_u20139, hAPP(c_Product__Type_Osnd(_u20140, _u20141), _u20142)), hAPP(c_Product__Type_Ofst(_u20140, _u20141), _u20142))) | hBOOL(hAPP(_u20143, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20140, _u20141, _u20145), _u20144), _u20142))) | ~hBOOL(hAPP(_u20143, hAPP(hAPP(_u20144, skolem546(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139)), skolem547(_u20145, _u20144, _u20143, _u20142, _u20141, _u20140, _u20139)))) )).
% 12.29/12.55 cnf(matrix-8098, plain, ( ( hAPP(c_Relation_OImage(_u20146, _u20147, hAPP(c_Set_OCollect(tc_prod(_u20146, _u20147)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20146, _u20147, tc_HOL_Obool), _u20148))), _u20149) = hAPP(c_Set_OCollect(_u20147), hAPP(hAPP(c_COMBB(tc_fun(_u20146, tc_HOL_Obool), tc_HOL_Obool, _u20147), c_HOL_OEx(_u20146)), hAPP(hAPP(c_COMBB(tc_fun(_u20146, tc_HOL_Obool), tc_fun(_u20146, tc_HOL_Obool), _u20147), hAPP(c_COMBS(_u20146, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20146), c_fconj), hAPP(hAPP(c_COMBC(_u20146, tc_fun(_u20146, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20146)), _u20149)))), hAPP(c_COMBC(_u20146, _u20147, tc_HOL_Obool), _u20148))))) )).
% 12.29/12.55 cnf(matrix-8099, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20150), tc_List_Olist(_u20150))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20150), tc_List_Olist(_u20150)), _u20151), _u20152)), c_List_Olexord(_u20150, _u20153))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20150), tc_List_Olist(_u20150))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20150), tc_List_Olist(_u20150)), _u20152), _u20154)), c_List_Olexord(_u20150, _u20153))) | ~c_Relation_Otrans(_u20150, _u20153) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20150), tc_List_Olist(_u20150))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20150), tc_List_Olist(_u20150)), _u20151), _u20154)), c_List_Olexord(_u20150, _u20153))) )).
% 12.29/12.55 cnf(matrix-8100, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 12.29/12.55 cnf(matrix-8101, plain, ( ~c_Relation_Otrans(_u20155, _u20156) | ~c_Relation_Otrans(_u20157, _u20158) | c_Relation_Otrans(tc_prod(_u20155, _u20157), c_Wellfounded_Olex__prod(_u20155, _u20157, _u20156, _u20158)) )).
% 12.29/12.55 cnf(matrix-8102, plain, ( ~c_Relation_Otrans(_u20159, _u20160) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20159, _u20159)), hAPP(hAPP(c_Product__Type_OPair(_u20159, _u20159), _u20161), _u20162)), _u20160)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20159, _u20159)), hAPP(hAPP(c_Product__Type_OPair(_u20159, _u20159), _u20162), _u20163)), _u20160)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20159, _u20159)), hAPP(hAPP(c_Product__Type_OPair(_u20159, _u20159), _u20161), _u20163)), _u20160)) )).
% 12.29/12.55 cnf(matrix-8103, plain, ( ~c_Relation_Otrans(_u20172, _u20174) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20172, _u20172)), hAPP(hAPP(c_Product__Type_OPair(_u20172, _u20172), _u20166), _u20165)), _u20174)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20172, _u20172)), hAPP(hAPP(c_Product__Type_OPair(_u20172, _u20172), _u20165), _u20164)), _u20174)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20172, _u20172)), hAPP(hAPP(c_Product__Type_OPair(_u20172, _u20172), _u20166), _u20164)), _u20174)) )).
% 12.29/12.55 cnf(matrix-8104, plain, ( c_Relation_Otrans(_u20173, _u20175) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20173, _u20173)), hAPP(hAPP(c_Product__Type_OPair(_u20173, _u20173), skolem548(_u20175, _u20173)), skolem549(_u20175, _u20173))), _u20175)) )).
% 12.29/12.55 cnf(matrix-8105, plain, ( c_Relation_Otrans(_u20173, _u20175) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20173, _u20173)), hAPP(hAPP(c_Product__Type_OPair(_u20173, _u20173), skolem549(_u20175, _u20173)), skolem550(_u20175, _u20173))), _u20175)) )).
% 12.29/12.55 cnf(matrix-8106, plain, ( c_Relation_Otrans(_u20173, _u20175) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20173, _u20173)), hAPP(hAPP(c_Product__Type_OPair(_u20173, _u20173), skolem548(_u20175, _u20173)), skolem550(_u20175, _u20173))), _u20175)) )).
% 12.29/12.55 cnf(matrix-8107, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20176, tc_fun(_u20177, tc_HOL_Obool)), _u20178), _u20179) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20177, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20177, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20176, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20177, tc_HOL_Obool)), c_HOL_OEx(_u20176)), hAPP(hAPP(c_COMBB(tc_fun(_u20176, tc_HOL_Obool), tc_fun(_u20176, tc_HOL_Obool), tc_fun(_u20177, tc_HOL_Obool)), hAPP(c_COMBS(_u20176, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20176), c_fconj), hAPP(hAPP(c_COMBC(_u20176, tc_fun(_u20176, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20176)), _u20178)))), hAPP(hAPP(c_COMBC(tc_fun(_u20177, tc_HOL_Obool), tc_fun(_u20176, tc_fun(_u20177, tc_HOL_Obool)), tc_fun(_u20176, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20177, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20176, tc_fun(_u20177, tc_HOL_Obool)), tc_fun(_u20176, tc_HOL_Obool)), tc_fun(_u20177, tc_HOL_Obool)), c_COMBB(tc_fun(_u20177, tc_HOL_Obool), tc_HOL_Obool, _u20176)), c_fequal)), _u20179)))))) )).
% 12.29/12.55 cnf(matrix-8108, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20180, tc_HOL_Obool), _u20181) = hAPP(c_Set_OCollect(_u20180), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u20180), c_HOL_OEx(tc_fun(_u20180, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), _u20180), hAPP(c_COMBS(tc_fun(_u20180, 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(_u20180, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20180, tc_HOL_Obool), tc_fun(tc_fun(_u20180, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20180, tc_HOL_Obool))), _u20181)))), c_member(_u20180))))) )).
% 12.29/12.55 cnf(matrix-8109, plain, ( ~c_Relation_Otrans(_u20182, _u20183) | c_Relation_Otrans(_u20184, hAPP(hAPP(c_Relation_Oinv__image(_u20182, _u20184), _u20183), _u20185)) )).
% 12.29/12.55 cnf(matrix-8110, plain, ( ~c_Relation_Otrans(_u20186, _u20187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20186, _u20186), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20186, _u20186, _u20186), _u20187), _u20187)), _u20187)) )).
% 12.29/12.55 cnf(matrix-8111, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20188, tc_HOL_Obool) = c_Set_OBex(_u20188)) )).
% 12.29/12.55 cnf(matrix-8112, plain, ( ~c_Relation_Otrans(_u20189, _u20190) | ~c_Relation_Otrans(_u20189, _u20191) | c_Relation_Otrans(_u20189, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20189, _u20189), tc_HOL_Obool)), _u20190), _u20191)) )).
% 12.29/12.55 cnf(matrix-8113, plain, ( hBOOL(hAPP(_u20200, skolem551(_u20200))) | ~hBOOL(hAPP(hAPP(c_member(_u20198), _u20192), c_Orderings_Otop__class_Otop(tc_fun(_u20198, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20200, _u20192)) )).
% 12.29/12.55 cnf(matrix-8114, plain, ( ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(hAPP(c_member(_u20199), skolem552(_u20201, _u20199)), c_Orderings_Otop__class_Otop(tc_fun(_u20199, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8115, plain, ( ~hBOOL(hAPP(_u20201, _u20194)) | hBOOL(hAPP(_u20201, skolem552(_u20201, _u20199))) )).
% 12.29/12.55 cnf(matrix-8116, plain, ( c_Relation_Otrans(_u20202, c_Transitive__Closure_Ortrancl(_u20202, _u20203)) )).
% 12.29/12.55 cnf(matrix-8117, plain, ( ~c_Relation_Otrans(_u20204, _u20205) | c_Relation_Otrans(tc_List_Olist(_u20204), c_List_Olexord(_u20204, _u20205)) )).
% 12.29/12.55 cnf(matrix-8118, plain, ( c_Relation_Otrans(tc_fun(_u20206, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u20206)) )).
% 12.29/12.55 cnf(matrix-8119, plain, ( c_Relation_Otrans(_u20207, c_Relation_OId__on(_u20207, _u20208)) )).
% 12.29/12.55 cnf(matrix-8120, plain, ( ~c_Relation_Otrans(_u20209, _u20210) | ( c_Transitive__Closure_Otrancl(_u20209, _u20210) = _u20210) )).
% 12.29/12.55 cnf(matrix-8121, plain, ( c_Relation_Otrans(_u20211, c_Transitive__Closure_Otrancl(_u20211, _u20212)) )).
% 12.29/12.55 cnf(matrix-8122, plain, ( c_Relation_Otrans(_u20213, c_Relation_OId(_u20213)) )).
% 12.29/12.55 cnf(matrix-8123, plain, ( ~c_Relation_Otrans(_u20216, hAPP(c_Relation_Oconverse(_u20216, _u20216), _u20218)) | c_Relation_Otrans(_u20216, _u20218) )).
% 12.29/12.55 cnf(matrix-8124, plain, ( ~c_Relation_Otrans(_u20217, _u20219) | c_Relation_Otrans(_u20217, hAPP(c_Relation_Oconverse(_u20217, _u20217), _u20219)) )).
% 12.29/12.55 cnf(matrix-8125, plain, ( ~c_Relation_Otrans(_u20220, _u20221) | c_Relation_Otrans(tc_List_Olist(_u20220), c_List_Olistrel(_u20220, _u20221)) )).
% 12.29/12.55 cnf(matrix-8126, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20223), _u20222), c_Orderings_Obot__class_Obot(tc_fun(_u20223, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20224, _u20222)) )).
% 12.29/12.55 cnf(matrix-8127, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20228)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool, _u20229), c_HOL_OEx(_u20227)), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_fun(_u20227, tc_HOL_Obool), _u20229), hAPP(c_COMBS(_u20227, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20227), c_fconj), hAPP(hAPP(c_COMBC(_u20227, tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20227)), _u20228)))), _u20230))))) | ~hBOOL(hAPP(hAPP(c_member(_u20227), _u20225), _u20228)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBC(_u20229, _u20227, tc_HOL_Obool), _u20230), _u20225)))) )).
% 12.29/12.55 cnf(matrix-8128, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20228)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool, _u20229), c_HOL_OEx(_u20227)), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_fun(_u20227, tc_HOL_Obool), _u20229), hAPP(c_COMBS(_u20227, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20227), c_fconj), hAPP(hAPP(c_COMBC(_u20227, tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20227)), _u20228)))), _u20230))))) | hBOOL(hAPP(hAPP(c_member(_u20227), skolem553(_u20230, _u20229, _u20228, _u20227)), _u20228)) )).
% 12.29/12.55 cnf(matrix-8129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20227), _u20228)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool, _u20229), c_HOL_OEx(_u20227)), hAPP(hAPP(c_COMBB(tc_fun(_u20227, tc_HOL_Obool), tc_fun(_u20227, tc_HOL_Obool), _u20229), hAPP(c_COMBS(_u20227, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20227), c_fconj), hAPP(hAPP(c_COMBC(_u20227, tc_fun(_u20227, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20227)), _u20228)))), _u20230))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20229), hAPP(c_Set_OCollect(_u20229), hAPP(hAPP(c_COMBC(_u20229, _u20227, tc_HOL_Obool), _u20230), skolem553(_u20230, _u20229, _u20228, _u20227))))) )).
% 12.29/12.55 cnf(matrix-8130, plain, ( ~c_Relation_Otrans(_u20231, _u20232) | c_Relation_Otrans(_u20231, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20231, _u20231), tc_HOL_Obool)), _u20232), c_Relation_OId(_u20231))) )).
% 12.29/12.55 cnf(matrix-8131, plain, ( ~c_List_Olist__ex(_u20238, _u20240, _u20242) | hBOOL(hAPP(hAPP(c_member(_u20238), skolem554(_u20242, _u20240, _u20238)), hAPP(c_List_Oset(_u20238), _u20242))) )).
% 12.29/12.55 cnf(matrix-8132, plain, ( ~c_List_Olist__ex(_u20238, _u20240, _u20242) | hBOOL(hAPP(_u20240, skolem554(_u20242, _u20240, _u20238))) )).
% 12.29/12.55 cnf(matrix-8133, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20239), _u20234), hAPP(c_List_Oset(_u20239), _u20243))) | ~hBOOL(hAPP(_u20241, _u20234)) | c_List_Olist__ex(_u20239, _u20241, _u20243) )).
% 12.29/12.55 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20249), _u20244), hAPP(c_List_Oset(_u20249), _u20251))) | ~hBOOL(hAPP(_u20253, _u20244)) | c_List_Olist__ex(_u20249, _u20253, _u20251) )).
% 12.29/12.55 cnf(matrix-8135, plain, ( ~c_List_Olist__ex(_u20250, _u20254, _u20252) | hBOOL(hAPP(hAPP(c_member(_u20250), skolem555(_u20254, _u20252, _u20250)), hAPP(c_List_Oset(_u20250), _u20252))) )).
% 12.29/12.55 cnf(matrix-8136, plain, ( ~c_List_Olist__ex(_u20250, _u20254, _u20252) | hBOOL(hAPP(_u20254, skolem555(_u20254, _u20252, _u20250))) )).
% 12.29/12.55 cnf(matrix-8137, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20255, tc_fun(_u20256, tc_HOL_Obool)), _u20257), _u20258) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20256, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20256, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20255, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20256, tc_HOL_Obool)), c_HOL_OEx(_u20255)), hAPP(hAPP(c_COMBB(tc_fun(_u20255, tc_HOL_Obool), tc_fun(_u20255, tc_HOL_Obool), tc_fun(_u20256, tc_HOL_Obool)), hAPP(c_COMBS(_u20255, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20255), c_fconj), hAPP(hAPP(c_COMBC(_u20255, tc_fun(_u20255, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20255)), _u20257)))), hAPP(hAPP(c_COMBC(tc_fun(_u20256, tc_HOL_Obool), tc_fun(_u20255, tc_fun(_u20256, tc_HOL_Obool)), tc_fun(_u20255, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20256, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20255, tc_fun(_u20256, tc_HOL_Obool)), tc_fun(_u20255, tc_HOL_Obool)), tc_fun(_u20256, tc_HOL_Obool)), c_COMBB(tc_fun(_u20256, tc_HOL_Obool), tc_HOL_Obool, _u20255)), c_fequal)), _u20258)))))) )).
% 12.29/12.55 cnf(matrix-8138, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20259) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20260, _u20259), _u20261), _u20262) = c_Complete__Lattice_OSup__class_OSup(_u20259, hAPP(c_Set_OCollect(_u20259), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), tc_HOL_Obool, _u20259), c_HOL_OEx(tc_fun(_u20260, _u20259))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), _u20259), hAPP(c_COMBS(tc_fun(_u20260, _u20259), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20260, _u20259)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20260, _u20259), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20260, _u20259))), _u20261)))), hAPP(hAPP(c_COMBC(_u20259, tc_fun(tc_fun(_u20260, _u20259), _u20259), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20259, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20260, _u20259), _u20259), tc_fun(tc_fun(_u20260, _u20259), tc_HOL_Obool)), _u20259), c_COMBB(_u20259, tc_HOL_Obool, tc_fun(_u20260, _u20259))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20260, _u20259), _u20260, _u20259), c_COMBI(tc_fun(_u20260, _u20259))), _u20262))))))) )).
% 12.29/12.55 cnf(matrix-8139, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20263) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20264, _u20263), _u20265), _u20266) = c_Complete__Lattice_OSup__class_OSup(_u20263, hAPP(c_Set_OCollect(_u20263), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), tc_HOL_Obool, _u20263), c_HOL_OEx(tc_fun(_u20264, _u20263))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), _u20263), hAPP(c_COMBS(tc_fun(_u20264, _u20263), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20264, _u20263)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20264, _u20263), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20264, _u20263))), _u20265)))), hAPP(hAPP(c_COMBC(_u20263, tc_fun(tc_fun(_u20264, _u20263), _u20263), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20263, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20264, _u20263), _u20263), tc_fun(tc_fun(_u20264, _u20263), tc_HOL_Obool)), _u20263), c_COMBB(_u20263, tc_HOL_Obool, tc_fun(_u20264, _u20263))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20264, _u20263), _u20264, _u20263), c_COMBI(tc_fun(_u20264, _u20263))), _u20266))))))) )).
% 12.29/12.55 cnf(matrix-8140, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20267) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20268, _u20267), _u20269), _u20270) = c_Complete__Lattice_OInf__class_OInf(_u20267, hAPP(c_Set_OCollect(_u20267), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), tc_HOL_Obool, _u20267), c_HOL_OEx(tc_fun(_u20268, _u20267))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), _u20267), hAPP(c_COMBS(tc_fun(_u20268, _u20267), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20268, _u20267)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20268, _u20267), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20268, _u20267))), _u20269)))), hAPP(hAPP(c_COMBC(_u20267, tc_fun(tc_fun(_u20268, _u20267), _u20267), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20267, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20268, _u20267), _u20267), tc_fun(tc_fun(_u20268, _u20267), tc_HOL_Obool)), _u20267), c_COMBB(_u20267, tc_HOL_Obool, tc_fun(_u20268, _u20267))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20268, _u20267), _u20268, _u20267), c_COMBI(tc_fun(_u20268, _u20267))), _u20270))))))) )).
% 12.29/12.55 cnf(matrix-8141, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20271) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20272, _u20271), _u20273), _u20274) = c_Complete__Lattice_OInf__class_OInf(_u20271, hAPP(c_Set_OCollect(_u20271), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), tc_HOL_Obool, _u20271), c_HOL_OEx(tc_fun(_u20272, _u20271))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), _u20271), hAPP(c_COMBS(tc_fun(_u20272, _u20271), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20272, _u20271)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20272, _u20271), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20272, _u20271))), _u20273)))), hAPP(hAPP(c_COMBC(_u20271, tc_fun(tc_fun(_u20272, _u20271), _u20271), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20271, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20272, _u20271), _u20271), tc_fun(tc_fun(_u20272, _u20271), tc_HOL_Obool)), _u20271), c_COMBB(_u20271, tc_HOL_Obool, tc_fun(_u20272, _u20271))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20272, _u20271), _u20272, _u20271), c_COMBI(tc_fun(_u20272, _u20271))), _u20274))))))) )).
% 12.29/12.55 cnf(matrix-8142, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20278)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20279)) | ( _u20279 = c_Orderings_Obot__class_Obot(tc_fun(_u20277, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20277, _u20280, _u20278, _u20279) | hBOOL(hAPP(hAPP(c_member(_u20277), skolem556(_u20280, _u20279, _u20278, _u20277)), _u20278)) )).
% 12.29/12.55 cnf(matrix-8143, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20278)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20277), _u20279)) | ( _u20279 = c_Orderings_Obot__class_Obot(tc_fun(_u20277, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20277, _u20280, _u20278, _u20279) | ~hBOOL(hAPP(hAPP(c_member(_u20277), _u20275), _u20279)) | ~hBOOL(hAPP(hAPP(_u20280, skolem556(_u20280, _u20279, _u20278, _u20277)), _u20275)) )).
% 12.29/12.55 cnf(matrix-8144, plain, ( ~c_Predicate_Otransp(_u20283, _u20285) | c_Relation_Otrans(_u20283, hAPP(c_Set_OCollect(tc_prod(_u20283, _u20283)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20283, _u20283, tc_HOL_Obool), _u20285))) )).
% 12.29/12.55 cnf(matrix-8145, plain, ( ~c_Relation_Otrans(_u20284, hAPP(c_Set_OCollect(tc_prod(_u20284, _u20284)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20284, _u20284, tc_HOL_Obool), _u20286))) | c_Predicate_Otransp(_u20284, _u20286) )).
% 12.29/12.55 cnf(matrix-8146, plain, ( ~hBOOL(hAPP(hAPP(_u20288, _u20289), _u20290)) | ~hBOOL(hAPP(hAPP(_u20288, _u20290), _u20291)) | hBOOL(hAPP(hAPP(_u20288, _u20289), _u20291)) | ~c_Predicate_Otransp(_u20287, _u20288) )).
% 12.29/12.55 cnf(matrix-8147, plain, ( ~c_Equiv__Relations_Oequivp(_u20292, _u20293) | c_Predicate_Oreflp(_u20292, _u20293) )).
% 12.29/12.55 cnf(matrix-8148, plain, ( ~c_Equiv__Relations_Oequivp(_u20292, _u20293) | c_Predicate_Osymp(_u20292, _u20293) )).
% 12.29/12.55 cnf(matrix-8149, plain, ( ~c_Equiv__Relations_Oequivp(_u20292, _u20293) | c_Predicate_Otransp(_u20292, _u20293) )).
% 12.29/12.55 cnf(matrix-8150, plain, ( ~c_Predicate_Oreflp(_u20294, _u20295) | ~c_Predicate_Osymp(_u20294, _u20295) | ~c_Predicate_Otransp(_u20294, _u20295) | c_Equiv__Relations_Oequivp(_u20294, _u20295) )).
% 12.29/12.55 cnf(matrix-8151, plain, ( ~hBOOL(hAPP(hAPP(_u20297, _u20298), _u20299)) | hBOOL(hAPP(hAPP(_u20297, _u20299), _u20298)) | ~c_Predicate_Osymp(_u20296, _u20297) )).
% 12.29/12.55 cnf(matrix-8152, plain, ( ~c_Equiv__Relations_Oequivp(_u20302, _u20304) | c_Predicate_Oreflp(_u20302, _u20304) )).
% 12.29/12.55 cnf(matrix-8153, plain, ( ~c_Equiv__Relations_Oequivp(_u20302, _u20304) | c_Predicate_Osymp(_u20302, _u20304) )).
% 12.29/12.55 cnf(matrix-8154, plain, ( ~c_Equiv__Relations_Oequivp(_u20302, _u20304) | c_Predicate_Otransp(_u20302, _u20304) )).
% 12.29/12.55 cnf(matrix-8155, plain, ( ~c_Predicate_Oreflp(_u20303, _u20305) | ~c_Predicate_Osymp(_u20303, _u20305) | ~c_Predicate_Otransp(_u20303, _u20305) | c_Equiv__Relations_Oequivp(_u20303, _u20305) )).
% 12.29/12.55 cnf(matrix-8156, plain, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20314), _u20318)) )).
% 12.29/12.55 cnf(matrix-8157, plain, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20314), _u20320)) )).
% 12.29/12.55 cnf(matrix-8158, plain, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | ( _u20320 != c_Orderings_Obot__class_Obot(tc_fun(_u20314, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8159, plain, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | ~hBOOL(hAPP(hAPP(c_member(_u20314), _u20307), _u20318)) | hBOOL(hAPP(hAPP(c_member(_u20314), skolem557(_u20320, _u20318, _u20316, _u20314, _u20307)), _u20320)) )).
% 12.29/12.55 cnf(matrix-8160, plain, ( ~c_Wellfounded_Omax__extp(_u20314, _u20316, _u20318, _u20320) | ~hBOOL(hAPP(hAPP(c_member(_u20314), _u20307), _u20318)) | hBOOL(hAPP(hAPP(_u20316, _u20307), skolem557(_u20320, _u20318, _u20316, _u20314, _u20307))) )).
% 12.29/12.55 cnf(matrix-8161, plain, ( c_Wellfounded_Omax__extp(_u20315, _u20317, _u20319, _u20321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20319)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20321)) | ( _u20321 = c_Orderings_Obot__class_Obot(tc_fun(_u20315, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u20315), skolem558(_u20321, _u20319, _u20317, _u20315)), _u20319)) )).
% 12.29/12.55 cnf(matrix-8162, plain, ( c_Wellfounded_Omax__extp(_u20315, _u20317, _u20319, _u20321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20319)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20315), _u20321)) | ( _u20321 = c_Orderings_Obot__class_Obot(tc_fun(_u20315, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u20315), _u20308), _u20321)) | ~hBOOL(hAPP(hAPP(_u20317, skolem558(_u20321, _u20319, _u20317, _u20315)), _u20308)) )).
% 12.29/12.55 cnf(matrix-8163, plain, ( ~c_Relation_Otrans(_u20322, _u20323) | ~c_Relation_Oantisym(_u20322, _u20323) | c_Relation_Otrans(_u20322, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20322, _u20322), tc_HOL_Obool)), _u20323), c_Relation_OId(_u20322))) )).
% 12.29/12.55 cnf(matrix-8164, plain, ( c_Relation_Oantisym(_u20324, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u20324, _u20324), tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8165, plain, ( ~c_Relation_Oantisym(_u20327, hAPP(c_Relation_Oconverse(_u20327, _u20327), _u20329)) | c_Relation_Oantisym(_u20327, _u20329) )).
% 12.29/12.55 cnf(matrix-8166, plain, ( ~c_Relation_Oantisym(_u20328, _u20330) | c_Relation_Oantisym(_u20328, hAPP(c_Relation_Oconverse(_u20328, _u20328), _u20330)) )).
% 12.29/12.55 cnf(matrix-8167, plain, ( c_Relation_Oantisym(_u20331, c_Relation_OId(_u20331)) )).
% 12.29/12.55 cnf(matrix-8168, plain, ( c_Relation_Oantisym(_u20332, c_Relation_OId__on(_u20332, _u20333)) )).
% 12.29/12.55 cnf(matrix-8169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20334, _u20334), tc_HOL_Obool)), _u20335), _u20336)) | ~c_Relation_Oantisym(_u20334, _u20336) | c_Relation_Oantisym(_u20334, _u20335) )).
% 12.29/12.55 cnf(matrix-8170, plain, ( ~c_Relation_Oantisym(_u20343, _u20345) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20343, _u20343)), hAPP(hAPP(c_Product__Type_OPair(_u20343, _u20343), _u20338), _u20337)), _u20345)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20343, _u20343)), hAPP(hAPP(c_Product__Type_OPair(_u20343, _u20343), _u20337), _u20338)), _u20345)) | ( _u20338 = _u20337) )).
% 12.29/12.55 cnf(matrix-8171, plain, ( c_Relation_Oantisym(_u20344, _u20346) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), skolem559(_u20346, _u20344)), skolem560(_u20346, _u20344))), _u20346)) )).
% 12.29/12.55 cnf(matrix-8172, plain, ( c_Relation_Oantisym(_u20344, _u20346) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), skolem560(_u20346, _u20344)), skolem559(_u20346, _u20344))), _u20346)) )).
% 12.29/12.55 cnf(matrix-8173, plain, ( c_Relation_Oantisym(_u20344, _u20346) | ( skolem559(_u20346, _u20344) != skolem560(_u20346, _u20344)) )).
% 12.29/12.55 cnf(matrix-8174, plain, ( ~c_Relation_Oantisym(_u20347, _u20348) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20347, _u20347)), hAPP(hAPP(c_Product__Type_OPair(_u20347, _u20347), _u20349), _u20350)), _u20348)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20347, _u20347)), hAPP(hAPP(c_Product__Type_OPair(_u20347, _u20347), _u20350), _u20349)), _u20348)) | ( _u20349 = _u20350) )).
% 12.29/12.55 cnf(matrix-8175, plain, ( ~c_Relation_Oantisym(_u20353, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20353, _u20353), tc_HOL_Obool)), _u20355), c_Relation_OId(_u20353))) | c_Relation_Oantisym(_u20353, _u20355) )).
% 12.29/12.55 cnf(matrix-8176, plain, ( ~c_Relation_Oantisym(_u20354, _u20356) | c_Relation_Oantisym(_u20354, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20354, _u20354), tc_HOL_Obool)), _u20356), c_Relation_OId(_u20354))) )).
% 12.29/12.55 cnf(matrix-8177, plain, ( ~c_Wellfounded_Oacyclic(_u20357, _u20358) | c_Relation_Oantisym(_u20357, c_Transitive__Closure_Ortrancl(_u20357, _u20358)) )).
% 12.29/12.55 cnf(matrix-8178, plain, ( ( c_Partial__Function_Ofun__lub(_u20359, _u20360, _u20361, _u20362, _u20363, _u20364) = hAPP(_u20362, hAPP(c_Set_OCollect(_u20359), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), tc_HOL_Obool, _u20359), c_HOL_OEx(tc_fun(_u20361, _u20359))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), _u20359), hAPP(c_COMBS(tc_fun(_u20361, _u20359), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20361, _u20359)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20361, _u20359), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20361, _u20359))), _u20363)))), hAPP(hAPP(c_COMBC(_u20359, tc_fun(tc_fun(_u20361, _u20359), _u20359), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20359, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20361, _u20359), _u20359), tc_fun(tc_fun(_u20361, _u20359), tc_HOL_Obool)), _u20359), c_COMBB(_u20359, tc_HOL_Obool, tc_fun(_u20361, _u20359))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20361, _u20359), _u20361, _u20359), c_COMBI(tc_fun(_u20361, _u20359))), _u20364))))))) )).
% 12.29/12.55 cnf(matrix-8179, plain, ( ~c_Relation_Osym(_u20365, _u20366) | ~c_Relation_Otrans(_u20365, _u20366) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20365, _u20365), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20365, _u20365, _u20365), hAPP(c_Relation_Oconverse(_u20365, _u20365), _u20366)), _u20366)), _u20366)) )).
% 12.29/12.55 cnf(matrix-8180, plain, ( ~c_Relation_Osym(_u20367, _u20368) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20367, _u20367)), hAPP(hAPP(c_Product__Type_OPair(_u20367, _u20367), _u20369), _u20370)), _u20368)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20367, _u20367)), hAPP(hAPP(c_Product__Type_OPair(_u20367, _u20367), _u20370), _u20369)), _u20368)) )).
% 12.29/12.55 cnf(matrix-8181, plain, ( ~c_Relation_Osym(_u20377, _u20379) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20377, _u20377)), hAPP(hAPP(c_Product__Type_OPair(_u20377, _u20377), _u20372), _u20371)), _u20379)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20377, _u20377)), hAPP(hAPP(c_Product__Type_OPair(_u20377, _u20377), _u20371), _u20372)), _u20379)) )).
% 12.29/12.55 cnf(matrix-8182, plain, ( c_Relation_Osym(_u20378, _u20380) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20378, _u20378)), hAPP(hAPP(c_Product__Type_OPair(_u20378, _u20378), skolem561(_u20380, _u20378)), skolem562(_u20380, _u20378))), _u20380)) )).
% 12.29/12.55 cnf(matrix-8183, plain, ( c_Relation_Osym(_u20378, _u20380) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20378, _u20378)), hAPP(hAPP(c_Product__Type_OPair(_u20378, _u20378), skolem562(_u20380, _u20378)), skolem561(_u20380, _u20378))), _u20380)) )).
% 12.29/12.55 cnf(matrix-8184, plain, ( ~c_Relation_Osym(_u20381, _u20382) | c_Relation_Osym(_u20383, hAPP(hAPP(c_Relation_Oinv__image(_u20381, _u20383), _u20382), _u20384)) )).
% 12.29/12.55 cnf(matrix-8185, plain, ( c_Relation_Osym(_u20385, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20385, _u20385), tc_HOL_Obool)), _u20386), hAPP(c_Relation_Oconverse(_u20385, _u20385), _u20386))) )).
% 12.29/12.55 cnf(matrix-8186, plain, ( ~c_Relation_Osym(_u20387, _u20388) | ~c_Relation_Osym(_u20387, _u20389) | c_Relation_Osym(_u20387, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20387, _u20387), tc_HOL_Obool)), _u20388), _u20389)) )).
% 12.29/12.55 cnf(matrix-8187, plain, ( ~c_Relation_Osym(_u20390, _u20391) | c_Relation_Osym(_u20390, c_Transitive__Closure_Ortrancl(_u20390, _u20391)) )).
% 12.29/12.55 cnf(matrix-8188, plain, ( c_Relation_Osym(_u20392, c_Relation_OId__on(_u20392, _u20393)) )).
% 12.29/12.55 cnf(matrix-8189, plain, ( ~c_Relation_Osym(_u20394, _u20395) | c_Relation_Osym(_u20394, c_Transitive__Closure_Otrancl(_u20394, _u20395)) )).
% 12.29/12.55 cnf(matrix-8190, plain, ( ~c_Relation_Osym(_u20396, _u20397) | ~c_Relation_Osym(_u20396, _u20398) | c_Relation_Osym(_u20396, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20396, _u20396), tc_HOL_Obool)), _u20397), _u20398)) )).
% 12.29/12.55 cnf(matrix-8191, plain, ( c_Relation_Osym(_u20399, c_Relation_OId(_u20399)) )).
% 12.29/12.55 cnf(matrix-8192, plain, ( ~c_Relation_Osym(_u20402, _u20404) | ( hAPP(c_Relation_Oconverse(_u20402, _u20402), _u20404) = _u20404) )).
% 12.29/12.55 cnf(matrix-8193, plain, ( ( hAPP(c_Relation_Oconverse(_u20403, _u20403), _u20405) != _u20405) | c_Relation_Osym(_u20403, _u20405) )).
% 12.29/12.55 cnf(matrix-8194, plain, ( ~c_Relation_Osym(_u20408, hAPP(c_Relation_Oconverse(_u20408, _u20408), _u20410)) | c_Relation_Osym(_u20408, _u20410) )).
% 12.29/12.55 cnf(matrix-8195, plain, ( ~c_Relation_Osym(_u20409, _u20411) | c_Relation_Osym(_u20409, hAPP(c_Relation_Oconverse(_u20409, _u20409), _u20411)) )).
% 12.29/12.55 cnf(matrix-8196, plain, ( ~c_Relation_Osym(_u20412, _u20413) | c_Relation_Osym(tc_List_Olist(_u20412), c_List_Olistrel(_u20412, _u20413)) )).
% 12.29/12.55 cnf(matrix-8197, plain, ( c_Relation_Osym(_u20414, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20414, _u20414), tc_HOL_Obool)), _u20415), hAPP(c_Relation_Oconverse(_u20414, _u20414), _u20415))) )).
% 12.29/12.55 cnf(matrix-8198, plain, ( ~c_Equiv__Relations_Oequiv(_u20419, _u20421, _u20423) | c_Relation_Orefl__on(_u20419, _u20421, _u20423) )).
% 12.29/12.55 cnf(matrix-8199, plain, ( ~c_Equiv__Relations_Oequiv(_u20419, _u20421, _u20423) | c_Relation_Osym(_u20419, _u20423) )).
% 12.29/12.55 cnf(matrix-8200, plain, ( ~c_Equiv__Relations_Oequiv(_u20419, _u20421, _u20423) | c_Relation_Otrans(_u20419, _u20423) )).
% 12.29/12.55 cnf(matrix-8201, plain, ( ~c_Relation_Orefl__on(_u20420, _u20422, _u20424) | ~c_Relation_Osym(_u20420, _u20424) | ~c_Relation_Otrans(_u20420, _u20424) | c_Equiv__Relations_Oequiv(_u20420, _u20422, _u20424) )).
% 12.29/12.55 cnf(matrix-8202, plain, ( ~c_Relation_Orefl__on(_u20425, _u20426, _u20427) | ~c_Relation_Osym(_u20425, _u20427) | ~c_Relation_Otrans(_u20425, _u20427) | c_Equiv__Relations_Oequiv(_u20425, _u20426, _u20427) )).
% 12.29/12.55 cnf(matrix-8203, plain, ( ~c_Equiv__Relations_Oequiv(_u20428, _u20429, _u20430) | c_Relation_Orefl__on(_u20428, _u20429, _u20430) )).
% 12.29/12.55 cnf(matrix-8204, plain, ( ~c_Equiv__Relations_Oequiv(_u20428, _u20429, _u20430) | c_Relation_Osym(_u20428, _u20430) )).
% 12.29/12.55 cnf(matrix-8205, plain, ( ~c_Equiv__Relations_Oequiv(_u20428, _u20429, _u20430) | c_Relation_Otrans(_u20428, _u20430) )).
% 12.29/12.55 cnf(matrix-8206, plain, ( ~c_Predicate_Osymp(_u20433, _u20435) | c_Relation_Osym(_u20433, hAPP(c_Set_OCollect(tc_prod(_u20433, _u20433)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20433, _u20433, tc_HOL_Obool), _u20435))) )).
% 12.29/12.55 cnf(matrix-8207, plain, ( ~c_Relation_Osym(_u20434, hAPP(c_Set_OCollect(tc_prod(_u20434, _u20434)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20434, _u20434, tc_HOL_Obool), _u20436))) | c_Predicate_Osymp(_u20434, _u20436) )).
% 12.29/12.55 cnf(matrix-8208, plain, ( ~hBOOL(hAPP(hAPP(_u20438, _u20437), _u20437)) | ~c_Predicate_Osymp(_u20439, _u20438) | ~c_Predicate_Otransp(_u20439, _u20438) | c_Equiv__Relations_Opart__equivp(_u20439, _u20438) )).
% 12.29/12.55 cnf(matrix-8209, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20444, _u20446) | hBOOL(hAPP(hAPP(_u20446, skolem563(_u20446, _u20444)), skolem563(_u20446, _u20444))) )).
% 12.29/12.55 cnf(matrix-8210, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20444, _u20446) | c_Predicate_Osymp(_u20444, _u20446) )).
% 12.29/12.55 cnf(matrix-8211, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20444, _u20446) | c_Predicate_Otransp(_u20444, _u20446) )).
% 12.29/12.55 cnf(matrix-8212, plain, ( ~hBOOL(hAPP(hAPP(_u20447, _u20441), _u20441)) | ~c_Predicate_Osymp(_u20445, _u20447) | ~c_Predicate_Otransp(_u20445, _u20447) | c_Equiv__Relations_Opart__equivp(_u20445, _u20447) )).
% 12.29/12.55 cnf(matrix-8213, plain, ( ~hBOOL(hAPP(hAPP(_u20449, _u20450), _u20451)) | ~hBOOL(hAPP(hAPP(_u20449, _u20451), _u20452)) | hBOOL(hAPP(hAPP(_u20449, _u20450), _u20452)) | ~c_Equiv__Relations_Opart__equivp(_u20448, _u20449) )).
% 12.29/12.55 cnf(matrix-8214, plain, ( ~hBOOL(hAPP(hAPP(_u20454, _u20455), _u20456)) | hBOOL(hAPP(hAPP(_u20454, _u20456), _u20455)) | ~c_Equiv__Relations_Opart__equivp(_u20453, _u20454) )).
% 12.29/12.55 cnf(matrix-8215, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | hBOOL(hAPP(hAPP(_u20475, skolem564(_u20475)), skolem564(_u20475))) )).
% 12.29/12.55 cnf(matrix-8216, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20467), _u20465)) | hBOOL(hAPP(hAPP(_u20475, _u20467), _u20467)) )).
% 12.29/12.55 cnf(matrix-8217, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20467), _u20465)) | hBOOL(hAPP(hAPP(_u20475, _u20465), _u20465)) )).
% 12.29/12.55 cnf(matrix-8218, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20467), _u20465)) | ( hAPP(_u20475, _u20467) = hAPP(_u20475, _u20465)) )).
% 12.29/12.55 cnf(matrix-8219, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20473, _u20475) | ~hBOOL(hAPP(hAPP(_u20475, _u20468), _u20468)) | ~hBOOL(hAPP(hAPP(_u20475, _u20466), _u20466)) | ( hAPP(_u20475, _u20468) != hAPP(_u20475, _u20466)) | hBOOL(hAPP(hAPP(_u20475, _u20468), _u20466)) )).
% 12.29/12.55 cnf(matrix-8220, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem567(_u20476))) )).
% 12.29/12.55 cnf(matrix-8221, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem568(_u20476)), skolem568(_u20476))) )).
% 12.29/12.55 cnf(matrix-8222, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem567(_u20476)) = hAPP(_u20476, skolem568(_u20476))) )).
% 12.29/12.55 cnf(matrix-8223, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem566(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem568(_u20476))) )).
% 12.29/12.55 cnf(matrix-8224, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem567(_u20476))) )).
% 12.29/12.55 cnf(matrix-8225, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | hBOOL(hAPP(hAPP(_u20476, skolem568(_u20476)), skolem568(_u20476))) )).
% 12.29/12.55 cnf(matrix-8226, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | ( hAPP(_u20476, skolem567(_u20476)) = hAPP(_u20476, skolem568(_u20476))) )).
% 12.29/12.55 cnf(matrix-8227, plain, ( c_Equiv__Relations_Opart__equivp(_u20474, _u20476) | ~hBOOL(hAPP(hAPP(_u20476, _u20460), _u20460)) | ~hBOOL(hAPP(hAPP(_u20476, skolem565(_u20476)), skolem565(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem566(_u20476)), skolem566(_u20476))) | ( hAPP(_u20476, skolem565(_u20476)) != hAPP(_u20476, skolem566(_u20476))) | ~hBOOL(hAPP(hAPP(_u20476, skolem567(_u20476)), skolem568(_u20476))) )).
% 12.29/12.55 cnf(matrix-8228, plain, ( ~c_Equiv__Relations_Oequivp(_u20477, _u20478) | c_Equiv__Relations_Opart__equivp(_u20477, _u20478) )).
% 12.29/12.55 cnf(matrix-8229, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20480, _u20481) | hBOOL(hAPP(hAPP(_u20481, skolem569(_u20481, _u20480)), skolem569(_u20481, _u20480))) )).
% 12.29/12.55 cnf(matrix-8230, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20480, _u20481) | c_Predicate_Osymp(_u20480, _u20481) )).
% 12.29/12.55 cnf(matrix-8231, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20480, _u20481) | c_Predicate_Otransp(_u20480, _u20481) )).
% 12.29/12.55 cnf(matrix-8232, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20483, _u20484) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20483, tc_HOL_Obool)), skolem570(_u20484, _u20483)), hAPP(hAPP(c_COMBB(tc_fun(_u20483, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20483, tc_HOL_Obool)), c_HOL_OEx(_u20483)), hAPP(hAPP(c_COMBB(tc_fun(_u20483, tc_HOL_Obool), tc_fun(_u20483, tc_HOL_Obool), tc_fun(_u20483, tc_HOL_Obool)), hAPP(c_COMBS(_u20483, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20483), c_fconj), hAPP(hAPP(c_COMBS(_u20483, _u20483, tc_HOL_Obool), _u20484), c_COMBI(_u20483))))), hAPP(hAPP(c_COMBC(tc_fun(_u20483, tc_HOL_Obool), tc_fun(_u20483, tc_fun(_u20483, tc_HOL_Obool)), tc_fun(_u20483, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20483, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20483, tc_fun(_u20483, tc_HOL_Obool)), tc_fun(_u20483, tc_HOL_Obool)), tc_fun(_u20483, tc_HOL_Obool)), c_COMBB(tc_fun(_u20483, tc_HOL_Obool), tc_HOL_Obool, _u20483)), c_fequal)), _u20484))))) )).
% 12.29/12.55 cnf(matrix-8233, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.55 cnf(matrix-8234, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.55 cnf(matrix-8235, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488) != skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)) )).
% 12.29/12.55 cnf(matrix-8236, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20491, tc_HOL_Obool)), hAPP(_u20492, skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))), hAPP(_u20492, skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))) != c_Orderings_Obot__class_Obot(tc_fun(_u20491, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8237, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.55 cnf(matrix-8238, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20489), skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)), _u20490)) )).
% 12.29/12.55 cnf(matrix-8239, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488) != skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)) )).
% 12.29/12.55 cnf(matrix-8240, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20489), _u20490)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20491), hAPP(_u20492, skolem571(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20489, tc_fun(_u20491, tc_HOL_Obool)), _u20490), _u20492)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20489, c_Groups_Otimes__class_Otimes(_u20488)), hAPP(hAPP(c_COMBB(tc_fun(_u20491, tc_HOL_Obool), _u20488, _u20489), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20488, _u20491, c_Groups_Otimes__class_Otimes(_u20488)), _u20493), c_Groups_Oone__class_Oone(_u20488))), _u20492)), c_Groups_Oone__class_Oone(_u20488)), _u20490)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20491, tc_HOL_Obool)), hAPP(_u20492, skolem572(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))), hAPP(_u20492, skolem573(_u20493, _u20492, _u20491, _u20490, _u20489, _u20488))) != c_Orderings_Obot__class_Obot(tc_fun(_u20491, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8241, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20495), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20495 = hAPP(c_Code__Numeral_Onat__of, skolem574(_u20495))) )).
% 12.29/12.55 cnf(matrix-8242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20497), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20498, hAPP(c_Code__Numeral_Onat__of, skolem575(_u20498, _u20497)))) | hBOOL(hAPP(_u20498, _u20497)) )).
% 12.29/12.55 cnf(matrix-8243, plain, ( ( _u20500 = hAPP(c_Code__Numeral_Oof__nat, skolem576(_u20500))) )).
% 12.29/12.55 cnf(matrix-8244, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem576(_u20500)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8245, plain, ( hBOOL(hAPP(_u20502, _u20503)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem577(_u20503, _u20502)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8246, plain, ( hBOOL(hAPP(_u20502, _u20503)) | ~hBOOL(hAPP(_u20502, hAPP(c_Code__Numeral_Oof__nat, skolem577(_u20503, _u20502)))) )).
% 12.29/12.55 cnf(matrix-8247, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20504, _u20505, _u20506, _u20507, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20505)) = _u20506) )).
% 12.29/12.55 cnf(matrix-8248, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20508, _u20509, _u20510, _u20511, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20509, _u20512, _u20513)) = hAPP(hAPP(hAPP(_u20511, _u20512), _u20513), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20508, _u20509, _u20510, _u20511, _u20513))) )).
% 12.29/12.55 cnf(matrix-8249, plain, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem578(_u20518, _u20517, _u20516, _u20515)))) | hBOOL(hAPP(_u20517, skolem579(_u20518, _u20517, _u20516, _u20515))) )).
% 12.29/12.55 cnf(matrix-8250, plain, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem578(_u20518, _u20517, _u20516, _u20515)))) | ~hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem579(_u20518, _u20517, _u20516, _u20515)))) )).
% 12.29/12.55 cnf(matrix-8251, plain, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | ~hBOOL(hAPP(_u20517, skolem578(_u20518, _u20517, _u20516, _u20515))) | hBOOL(hAPP(_u20517, skolem579(_u20518, _u20517, _u20516, _u20515))) )).
% 12.29/12.55 cnf(matrix-8252, plain, ( ~hBOOL(hAPP(_u20515, _u20516)) | ~hBOOL(hAPP(_u20517, _u20518)) | hBOOL(hAPP(_u20515, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20515) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u20517))) | ~hBOOL(hAPP(_u20517, skolem578(_u20518, _u20517, _u20516, _u20515))) | ~hBOOL(hAPP(_u20515, hAPP(c_Nat_OSuc, skolem579(_u20518, _u20517, _u20516, _u20515)))) )).
% 12.29/12.55 cnf(matrix-8253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20523), _u20525)) | ( c_Quickcheck_Obeyond(_u20523, _u20525) = _u20525) )).
% 12.29/12.55 cnf(matrix-8254, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20524), _u20526)) | ( c_Quickcheck_Obeyond(_u20524, _u20526) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.55 cnf(matrix-8255, plain, ( ( c_Quickcheck_Obeyond(_u20527, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 12.29/12.55 cnf(matrix-8256, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20528, _u20529, _u20530, _u20531), _u20532), _u20533) = hAPP(_u20531, hAPP(hAPP(c_Product__Type_OPair(_u20528, _u20529), _u20532), _u20533))) )).
% 12.29/12.55 cnf(matrix-8257, plain, ( c_Relation_Orefl__on(_u20537, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(_u20537, tc_HOL_Obool)), _u20536), _u20538), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(tc_prod(_u20537, _u20537), tc_HOL_Obool)), _u20536), _u20539)) | hBOOL(hAPP(hAPP(c_member(_u20535), skolem580(_u20539, _u20538, _u20537, _u20536, _u20535)), _u20536)) )).
% 12.29/12.55 cnf(matrix-8258, plain, ( c_Relation_Orefl__on(_u20537, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(_u20537, tc_HOL_Obool)), _u20536), _u20538), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20535, tc_fun(tc_prod(_u20537, _u20537), tc_HOL_Obool)), _u20536), _u20539)) | ~c_Relation_Orefl__on(_u20537, hAPP(_u20538, skolem580(_u20539, _u20538, _u20537, _u20536, _u20535)), hAPP(_u20539, skolem580(_u20539, _u20538, _u20537, _u20536, _u20535))) )).
% 12.29/12.55 cnf(matrix-8259, plain, ( ~hBOOL(hAPP(_u20540, hAPP(hAPP(c_Product__Type_OPair(_u20541, _u20542), _u20543), _u20544))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20541, _u20542, tc_HOL_Obool, _u20540), _u20543), _u20544)) )).
% 12.29/12.55 cnf(matrix-8260, plain, ( ( c_Product__Type_Ocurry(_u20545, _u20546, _u20547, hAPP(c_Product__Type_Oprod_Oprod__case(_u20545, _u20546, _u20547), _u20548)) = _u20548) )).
% 12.29/12.55 cnf(matrix-8261, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20549, _u20550, _u20551), c_Product__Type_Ocurry(_u20549, _u20550, _u20551, _u20552)) = _u20552) )).
% 12.29/12.55 cnf(matrix-8262, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20553, _u20554, _u20555, _u20556), _u20557), _u20558) = hAPP(_u20556, hAPP(hAPP(c_Product__Type_OPair(_u20553, _u20554), _u20557), _u20558))) )).
% 12.29/12.55 cnf(matrix-8263, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20559, _u20560, tc_HOL_Obool, _u20561), _u20562), _u20563)) | hBOOL(hAPP(_u20561, hAPP(hAPP(c_Product__Type_OPair(_u20559, _u20560), _u20562), _u20563))) )).
% 12.29/12.55 cnf(matrix-8264, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20564, _u20565, tc_HOL_Obool, _u20566), _u20567), _u20568)) | hBOOL(hAPP(_u20566, hAPP(hAPP(c_Product__Type_OPair(_u20564, _u20565), _u20567), _u20568))) )).
% 12.29/12.55 cnf(matrix-8265, plain, ( ~c_Equiv__Relations_Oequivp(_u20573, _u20574) | ~hBOOL(hAPP(hAPP(c_member(_u20573), _u20569), c_Quotient_ORespects(_u20573, _u20574))) | ~hBOOL(hAPP(_u20575, _u20569)) | hBOOL(hAPP(_u20575, skolem581(_u20575, _u20574, _u20573))) )).
% 12.29/12.55 cnf(matrix-8266, plain, ( ~c_Equiv__Relations_Oequivp(_u20573, _u20574) | ~hBOOL(hAPP(_u20575, _u20571)) | hBOOL(hAPP(hAPP(c_member(_u20573), skolem582(_u20575, _u20574, _u20573)), c_Quotient_ORespects(_u20573, _u20574))) )).
% 12.29/12.55 cnf(matrix-8267, plain, ( ~c_Equiv__Relations_Oequivp(_u20573, _u20574) | ~hBOOL(hAPP(_u20575, _u20571)) | hBOOL(hAPP(_u20575, skolem582(_u20575, _u20574, _u20573))) )).
% 12.29/12.55 cnf(matrix-8268, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20579, _u20579)), hAPP(hAPP(c_Product__Type_OPair(_u20579, _u20579), hAPP(_u20580, hAPP(c_Nat_OSuc, skolem583(_u20581, _u20580, _u20579)))), hAPP(_u20580, skolem583(_u20581, _u20580, _u20579)))), c_Transitive__Closure_Ortrancl(_u20579, _u20581))) | ~c_Wellfounded_Owf(_u20579, c_Transitive__Closure_Otrancl(_u20579, _u20581)) | ( hAPP(_u20580, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem584(_u20581, _u20580, _u20579)), _u20577)) = hAPP(_u20580, skolem584(_u20581, _u20580, _u20579))) )).
% 12.29/12.55 cnf(matrix-8269, plain, ( hBOOL(hAPP(hAPP(_u20589, _u20587), _u20587)) | ~hBOOL(hAPP(hAPP(c_member(_u20585), _u20587), c_Quotient_ORespects(_u20585, _u20589))) )).
% 12.29/12.55 cnf(matrix-8270, plain, ( ~hBOOL(hAPP(hAPP(_u20590, _u20588), _u20588)) | hBOOL(hAPP(hAPP(c_member(_u20586), _u20588), c_Quotient_ORespects(_u20586, _u20590))) )).
% 12.29/12.55 cnf(matrix-8271, plain, ( hBOOL(hAPP(hAPP(_u20596, _u20598), _u20598)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20594, _u20596), _u20598)) )).
% 12.29/12.55 cnf(matrix-8272, plain, ( ~hBOOL(hAPP(hAPP(_u20597, _u20599), _u20599)) | hBOOL(hAPP(c_Quotient_ORespects(_u20595, _u20597), _u20599)) )).
% 12.29/12.55 cnf(matrix-8273, plain, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | hBOOL(hAPP(_u20605, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(hAPP(c_member(_u20603), skolem586(_u20606, _u20605, _u20604, _u20603)), c_Quotient_ORespects(_u20603, _u20604))) )).
% 12.29/12.55 cnf(matrix-8274, plain, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | hBOOL(hAPP(_u20605, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(_u20606, skolem586(_u20606, _u20605, _u20604, _u20603))) )).
% 12.29/12.55 cnf(matrix-8275, plain, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | ~hBOOL(hAPP(_u20606, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(hAPP(c_member(_u20603), skolem586(_u20606, _u20605, _u20604, _u20603)), c_Quotient_ORespects(_u20603, _u20604))) )).
% 12.29/12.55 cnf(matrix-8276, plain, ( ~c_Equiv__Relations_Oequivp(_u20603, _u20604) | ~hBOOL(hAPP(_u20606, skolem585(_u20606, _u20605, _u20604, _u20603))) | ~hBOOL(hAPP(_u20605, _u20601)) | hBOOL(hAPP(_u20606, skolem586(_u20606, _u20605, _u20604, _u20603))) )).
% 12.29/12.55 cnf(matrix-8277, plain, ( ~c_Equiv__Relations_Oequivp(_u20607, _u20608) | ( c_Quotient_OBabs(_u20607, _u20609, c_Quotient_ORespects(_u20607, _u20608), _u20610) = _u20610) )).
% 12.29/12.55 cnf(matrix-8278, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20611), _u20612), _u20613)) | ( hAPP(c_Quotient_OBabs(_u20611, _u20614, _u20613, _u20615), _u20612) = hAPP(_u20615, _u20612)) )).
% 12.29/12.55 cnf(matrix-8279, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623))), c_Transitive__Closure_Ortrancl(tc_prod(_u20618, _u20619), _u20624))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621) = hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), skolem587(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618)), skolem588(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618)))), _u20624)) )).
% 12.29/12.55 cnf(matrix-8280, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623))), c_Transitive__Closure_Ortrancl(tc_prod(_u20618, _u20619), _u20624))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20620), _u20621) = hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20618, _u20619), tc_prod(_u20618, _u20619)), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), skolem587(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618)), skolem588(_u20624, _u20623, _u20622, _u20621, _u20620, _u20619, _u20618))), hAPP(hAPP(c_Product__Type_OPair(_u20618, _u20619), _u20622), _u20623))), c_Transitive__Closure_Ortrancl(tc_prod(_u20618, _u20619), _u20624))) )).
% 12.29/12.55 cnf(matrix-8281, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), skolem589(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem590(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), skolem591(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem592(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)))), _u20635)) )).
% 12.29/12.55 cnf(matrix-8282, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), skolem591(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem592(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) )).
% 12.29/12.55 cnf(matrix-8283, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | hBOOL(hAPP(hAPP(_u20636, skolem591(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem592(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))) )).
% 12.29/12.55 cnf(matrix-8284, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20629, _u20630), tc_prod(_u20629, _u20630)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20631), _u20632)), hAPP(hAPP(c_Product__Type_OPair(_u20629, _u20630), _u20633), _u20634))), c_Transitive__Closure_Ortrancl(tc_prod(_u20629, _u20630), _u20635))) | ~hBOOL(hAPP(hAPP(_u20636, _u20633), _u20634)) | hBOOL(hAPP(hAPP(_u20636, _u20631), _u20632)) | ~hBOOL(hAPP(hAPP(_u20636, skolem589(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629)), skolem590(_u20636, _u20635, _u20634, _u20633, _u20632, _u20631, _u20630, _u20629))) )).
% 12.29/12.55 cnf(matrix-8285, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), skolem593(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem594(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) )).
% 12.29/12.55 cnf(matrix-8286, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), skolem593(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem594(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641))), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), skolem595(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem596(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)))), _u20647)) )).
% 12.29/12.55 cnf(matrix-8287, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | hBOOL(hAPP(hAPP(_u20648, skolem593(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem594(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641))) )).
% 12.29/12.55 cnf(matrix-8288, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20641, _u20642), tc_prod(_u20641, _u20642)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20643), _u20644)), hAPP(hAPP(c_Product__Type_OPair(_u20641, _u20642), _u20645), _u20646))), c_Transitive__Closure_Ortrancl(tc_prod(_u20641, _u20642), _u20647))) | ~hBOOL(hAPP(hAPP(_u20648, _u20643), _u20644)) | hBOOL(hAPP(hAPP(_u20648, _u20645), _u20646)) | ~hBOOL(hAPP(hAPP(_u20648, skolem595(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641)), skolem596(_u20648, _u20647, _u20646, _u20645, _u20644, _u20643, _u20642, _u20641))) )).
% 12.29/12.55 cnf(matrix-8289, plain, ( c_Equiv__Relations_Ocongruent2(_u20653, _u20655, _u20658, _u20654, _u20656, _u20657) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20653, _u20653)), hAPP(hAPP(c_Product__Type_OPair(_u20653, _u20653), skolem597(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem598(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653))), _u20654)) )).
% 12.29/12.55 cnf(matrix-8290, plain, ( c_Equiv__Relations_Ocongruent2(_u20653, _u20655, _u20658, _u20654, _u20656, _u20657) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20655, _u20655)), hAPP(hAPP(c_Product__Type_OPair(_u20655, _u20655), skolem599(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem600(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653))), _u20656)) )).
% 12.29/12.55 cnf(matrix-8291, plain, ( c_Equiv__Relations_Ocongruent2(_u20653, _u20655, _u20658, _u20654, _u20656, _u20657) | ( hAPP(hAPP(_u20657, skolem597(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem599(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)) != hAPP(hAPP(_u20657, skolem598(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653)), skolem600(_u20658, _u20657, _u20656, _u20655, _u20654, _u20653))) )).
% 12.29/12.55 cnf(matrix-8292, plain, ( c_Equiv__Relations_Ocongruent(_u20661, _u20664, _u20662, _u20663) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20661, _u20661)), hAPP(hAPP(c_Product__Type_OPair(_u20661, _u20661), skolem601(_u20664, _u20663, _u20662, _u20661)), skolem602(_u20664, _u20663, _u20662, _u20661))), _u20662)) )).
% 12.29/12.55 cnf(matrix-8293, plain, ( c_Equiv__Relations_Ocongruent(_u20661, _u20664, _u20662, _u20663) | ( hAPP(_u20663, skolem601(_u20664, _u20663, _u20662, _u20661)) != hAPP(_u20663, skolem602(_u20664, _u20663, _u20662, _u20661))) )).
% 12.29/12.55 cnf(matrix-8294, plain, ( ( c_Lazy__Sequence_Oflat(_u20665, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20665), _u20666, _u20667)) = c_Lazy__Sequence_Oappend(_u20665, _u20666, c_Lazy__Sequence_Oflat(_u20665, _u20667))) )).
% 12.29/12.55 cnf(matrix-8295, plain, ( ( c_Lazy__Sequence_Oflat(_u20668, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20668))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20668)) )).
% 12.29/12.55 cnf(matrix-8296, plain, ( ( hAPP(c_Lazy__Sequence_Obind(_u20669, _u20670, _u20671), _u20672) = c_Lazy__Sequence_Oflat(_u20670, c_Lazy__Sequence_Omap(_u20669, tc_Lazy__Sequence_Olazy__sequence(_u20670), _u20672, _u20671))) )).
% 12.29/12.55 cnf(matrix-8297, plain, ( ~c_List_Oall__interval__nat(_u20678, _u20680, _u20682) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20680), _u20682))) | hBOOL(hAPP(_u20678, _u20673)) )).
% 12.29/12.55 cnf(matrix-8298, plain, ( c_List_Oall__interval__nat(_u20679, _u20681, _u20683) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem603(_u20683, _u20681, _u20679)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20681), _u20683))) )).
% 12.29/12.55 cnf(matrix-8299, plain, ( c_List_Oall__interval__nat(_u20679, _u20681, _u20683) | ~hBOOL(hAPP(_u20679, skolem603(_u20683, _u20681, _u20679))) )).
% 12.29/12.55 cnf(matrix-8300, plain, ( ( c_Lazy__Sequence_Omap(_u20684, _u20685, _u20686, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20684, _u20687, _u20688)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20685, hAPP(_u20686, _u20687), c_Lazy__Sequence_Omap(_u20684, _u20685, _u20686, _u20688))) )).
% 12.29/12.55 cnf(matrix-8301, plain, ( ( c_Lazy__Sequence_Omap(_u20689, _u20690, _u20691, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20689)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20690)) )).
% 12.29/12.55 cnf(matrix-8302, plain, ( ~c_List_Olist__all(tc_Nat_Onat, _u20695, c_List_Oupt(_u20697, _u20699)) | c_List_Oall__interval__nat(_u20695, _u20697, _u20699) )).
% 12.29/12.55 cnf(matrix-8303, plain, ( ~c_List_Oall__interval__nat(_u20696, _u20698, _u20700) | c_List_Olist__all(tc_Nat_Onat, _u20696, c_List_Oupt(_u20698, _u20700)) )).
% 12.29/12.55 cnf(matrix-8304, plain, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20704, c_List_Oupt(_u20706, _u20708)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20704), _u20706, _u20708) )).
% 12.29/12.55 cnf(matrix-8305, plain, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20705), _u20707, _u20709) | c_List_Olist__ex(tc_Nat_Onat, _u20705, c_List_Oupt(_u20707, _u20709)) )).
% 12.29/12.55 cnf(matrix-8306, plain, ( ( c_New__DSequence_Opos__map(_u20710, _u20711, _u20712, _u20713, _u20714) = c_Lazy__Sequence_Omap(_u20710, _u20711, _u20712, hAPP(_u20713, _u20714))) )).
% 12.29/12.55 cnf(matrix-8307, plain, ( ~c_Finite__Set_Ofolding__image(_u20716, _u20717, _u20718, _u20719, _u20720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20717), _u20721)) | ( hAPP(hAPP(_u20720, _u20722), _u20721) = hAPP(hAPP(_u20720, _u20723), _u20721)) | hBOOL(hAPP(hAPP(c_member(_u20717), skolem604(_u20723, _u20722, _u20721, _u20720, _u20719, _u20718, _u20717)), _u20721)) )).
% 12.29/12.55 cnf(matrix-8308, plain, ( ~c_Finite__Set_Ofolding__image(_u20716, _u20717, _u20718, _u20719, _u20720) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20717), _u20721)) | ( hAPP(hAPP(_u20720, _u20722), _u20721) = hAPP(hAPP(_u20720, _u20723), _u20721)) | ( hAPP(_u20722, skolem604(_u20723, _u20722, _u20721, _u20720, _u20719, _u20718, _u20717)) != hAPP(_u20723, skolem604(_u20723, _u20722, _u20721, _u20720, _u20719, _u20718, _u20717))) )).
% 12.29/12.55 cnf(matrix-8309, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20724), _u20725)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20724), _u20726))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20724)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20725), _u20726)) )).
% 12.29/12.55 cnf(matrix-8310, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20728), _u20729)) | ( _u20729 = c_Orderings_Obot__class_Obot(tc_fun(_u20728, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u20728, _u20730, _u20729), skolem605(_u20730, _u20729, _u20728))) )).
% 12.29/12.55 cnf(matrix-8311, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20731), _u20731)) )).
% 12.29/12.55 cnf(matrix-8312, plain, ( ~class_Rings_Ocomm__semiring__1(_u20732) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20732), _u20733), c_Groups_Ozero__class_Ozero(_u20732))) )).
% 12.29/12.55 cnf(matrix-8313, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20734)) )).
% 12.29/12.55 cnf(matrix-8314, plain, ( ~class_Rings_Odvd(_u20739) | ~class_Rings_Osemiring__0(_u20739) | ~hBOOL(hAPP(_u20740, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20741), _u20735))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20739), skolem606(_u20741, _u20740, _u20739)), c_Groups_Ozero__class_Ozero(_u20739)))) )).
% 12.29/12.55 cnf(matrix-8315, plain, ( ~class_Rings_Odvd(_u20739) | ~class_Rings_Osemiring__0(_u20739) | ~hBOOL(hAPP(_u20740, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20741), _u20735))) | hBOOL(hAPP(_u20740, skolem606(_u20741, _u20740, _u20739))) )).
% 12.29/12.55 cnf(matrix-8316, plain, ( ~class_Rings_Odvd(_u20739) | ~class_Rings_Osemiring__0(_u20739) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20739), _u20741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20739), _u20737), c_Groups_Ozero__class_Ozero(_u20739)))) | ~hBOOL(hAPP(_u20740, _u20737)) | hBOOL(hAPP(_u20740, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20739), _u20741), skolem607(_u20741, _u20740, _u20739)))) )).
% 12.29/12.55 cnf(matrix-8317, plain, ( ~class_Divides_Osemiring__div(_u20742) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20742), _u20743), _u20744)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20742), _u20743), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20742), _u20744), _u20743)) = _u20744) )).
% 12.29/12.55 cnf(matrix-8318, plain, ( ~class_Divides_Osemiring__div(_u20745) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), _u20746), _u20747)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20748), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20745), _u20747), _u20746)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20748), _u20747)), _u20746)) )).
% 12.29/12.55 cnf(matrix-8319, plain, ( ~class_Divides_Osemiring__div(_u20749) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20749), _u20750), _u20751)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20749), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20749), _u20751), _u20750)), _u20750) = _u20751) )).
% 12.29/12.55 cnf(matrix-8320, plain, ( ~class_Divides_Osemiring__div(_u20752) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20752), _u20753), _u20754)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20752), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20752), _u20754), _u20753)), _u20755) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20752), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20752), _u20754), _u20755)), _u20753)) )).
% 12.29/12.55 cnf(matrix-8321, plain, ( ~class_Divides_Osemiring__div(_u20756) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20756), _u20757), _u20758)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20756), _u20759), _u20760)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20756), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20756), _u20758), _u20757)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20756), _u20760), _u20759)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20756), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20756), _u20758), _u20760)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20756), _u20757), _u20759))) )).
% 12.29/12.55 cnf(matrix-8322, plain, ( ~class_Rings_Oidom(_u20761) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20764))) | ( _u20762 = c_Groups_Ozero__class_Ozero(_u20761)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), _u20763), _u20764)) )).
% 12.29/12.55 cnf(matrix-8323, plain, ( ~class_Rings_Oidom(_u20761) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20764))) | ( _u20762 != c_Groups_Ozero__class_Ozero(_u20761)) )).
% 12.29/12.55 cnf(matrix-8324, plain, ( ~class_Rings_Oidom(_u20761) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20763)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20761), _u20762), _u20764))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), _u20763), _u20764)) )).
% 12.29/12.55 cnf(matrix-8325, plain, ( ~class_Rings_Oidom(_u20765) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20766), _u20767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20768), _u20767))) | ( _u20767 = c_Groups_Ozero__class_Ozero(_u20765)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), _u20766), _u20768)) )).
% 12.29/12.55 cnf(matrix-8326, plain, ( ~class_Rings_Oidom(_u20765) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20766), _u20767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20768), _u20767))) | ( _u20767 != c_Groups_Ozero__class_Ozero(_u20765)) )).
% 12.29/12.55 cnf(matrix-8327, plain, ( ~class_Rings_Oidom(_u20765) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20766), _u20767)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20765), _u20768), _u20767))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20765), _u20766), _u20768)) )).
% 12.29/12.55 cnf(matrix-8328, plain, ( ~class_Rings_Ocomm__semiring__1(_u20769) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20769), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20769), _u20770), _u20771)), _u20772)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20769), _u20771), _u20772)) )).
% 12.29/12.55 cnf(matrix-8329, plain, ( ~class_Rings_Ocomm__semiring__1(_u20773) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20773), _u20774), _u20775)), _u20776)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20773), _u20774), _u20776)) )).
% 12.29/12.55 cnf(matrix-8330, plain, ( ~class_Rings_Odvd(_u20777) | ( _u20778 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20777), _u20779), _u20780)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20777), _u20779), _u20778)) )).
% 12.29/12.55 cnf(matrix-8331, plain, ( ~class_Rings_Ocomm__semiring__1(_u20781) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20781), _u20782), _u20783)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20781), _u20784), _u20785)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20781), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20781), _u20782), _u20784)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20781), _u20783), _u20785))) )).
% 12.29/12.55 cnf(matrix-8332, plain, ( ~class_Rings_Ocomm__semiring__1(_u20786) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20786), _u20787), _u20788)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20786), _u20787), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20786), _u20789), _u20788))) )).
% 12.29/12.55 cnf(matrix-8333, plain, ( ~class_Rings_Ocomm__semiring__1(_u20790) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20790), _u20791), _u20792)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20790), _u20791), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20790), _u20792), _u20793))) )).
% 12.29/12.55 cnf(matrix-8334, plain, ( ~class_Rings_Ocomm__semiring__1(_u20794) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20794), _u20795), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20794), _u20796), _u20795))) )).
% 12.29/12.55 cnf(matrix-8335, plain, ( ~class_Rings_Ocomm__semiring__1(_u20797) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20797), _u20798), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20797), _u20798), _u20799))) )).
% 12.29/12.55 cnf(matrix-8336, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20803), _u20805)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20803), _u20807))) | ( _u20803 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20805), _u20807)) )).
% 12.29/12.55 cnf(matrix-8337, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20808))) | ( _u20804 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.29/12.55 cnf(matrix-8338, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20806)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20804), _u20808))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20806), _u20808)) )).
% 12.29/12.55 cnf(matrix-8339, plain, ( ~class_Rings_Ocomm__ring(_u20811) | ~class_Rings_Odvd(_u20811) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), _u20813)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), _u20817), _u20814))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20811), _u20817), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20811), _u20815), _u20813))), _u20814))) )).
% 12.29/12.55 cnf(matrix-8340, plain, ( ~class_Rings_Ocomm__ring(_u20811) | ~class_Rings_Odvd(_u20811) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), _u20813)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), _u20818), _u20814))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20811), _u20812), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20811), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20811), _u20818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20811), _u20816), _u20813))), _u20814))) )).
% 12.29/12.55 cnf(matrix-8341, plain, ( ~class_Rings_Ocomm__ring(_u20821) | ~class_Rings_Odvd(_u20821) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), _u20823)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), _u20827), _u20824))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20821), _u20827), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20821), _u20825), _u20823))), _u20824))) )).
% 12.29/12.55 cnf(matrix-8342, plain, ( ~class_Rings_Ocomm__ring(_u20821) | ~class_Rings_Odvd(_u20821) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), _u20823)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), _u20828), _u20824))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20821), _u20822), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20821), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20821), _u20828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20821), _u20826), _u20823))), _u20824))) )).
% 12.29/12.55 cnf(matrix-8343, plain, ( ~class_Divides_Osemiring__div(_u20829) | ( _u20830 = c_Groups_Ozero__class_Ozero(_u20829)) | ( _u20831 = c_Groups_Ozero__class_Ozero(_u20829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20830), _u20832)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20831), _u20833)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20832), _u20830) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20833), _u20831)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20832), _u20831) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20830), _u20833)) )).
% 12.29/12.55 cnf(matrix-8344, plain, ( ~class_Divides_Osemiring__div(_u20829) | ( _u20830 = c_Groups_Ozero__class_Ozero(_u20829)) | ( _u20831 = c_Groups_Ozero__class_Ozero(_u20829)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20830), _u20832)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20829), _u20831), _u20833)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20832), _u20831) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20829), _u20830), _u20833)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20832), _u20830) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20829), _u20833), _u20831)) )).
% 12.29/12.55 cnf(matrix-8345, plain, ( ~class_Divides_Osemiring__div(_u20834) | ( _u20835 = c_Groups_Ozero__class_Ozero(_u20834)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20834), _u20835), _u20836)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20834), _u20836), _u20835) != _u20837) | ( _u20836 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20834), _u20837), _u20835)) )).
% 12.29/12.55 cnf(matrix-8346, plain, ( ~class_Divides_Osemiring__div(_u20834) | ( _u20835 = c_Groups_Ozero__class_Ozero(_u20834)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20834), _u20835), _u20836)) | ( _u20836 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20834), _u20837), _u20835)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20834), _u20836), _u20835) = _u20837) )).
% 12.29/12.55 cnf(matrix-8347, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20841, _u20843) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20845), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20841 = _u20843) )).
% 12.29/12.55 cnf(matrix-8348, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20841, _u20843) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20845), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20843 = _u20845) )).
% 12.29/12.55 cnf(matrix-8349, plain, ( ( _u20842 != _u20844) | ( _u20844 != _u20846) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20842, _u20844) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20846), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8350, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20847, _u20847) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20847), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8351, plain, ( ( _u20848 != _u20849) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20848, _u20849) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20848), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 12.29/12.55 cnf(matrix-8352, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20850), _u20851)) | ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20851, _u20850) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8353, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20852), _u20853)) | ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20853, _u20852) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8354, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20854), _u20855)) | ( c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20855, _u20854) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 12.29/12.55 cnf(matrix-8355, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20858, _u20860) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20858), _u20860)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20860), _u20858)) )).
% 12.29/12.55 cnf(matrix-8356, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20859, _u20861) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20859), _u20861)) )).
% 12.29/12.55 cnf(matrix-8357, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20859, _u20861) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20861), _u20859)) )).
% 12.29/12.55 cnf(matrix-8358, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20864, _u20866) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20864), _u20866)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20866), _u20864)) )).
% 12.29/12.55 cnf(matrix-8359, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20865, _u20867) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20865), _u20867)) )).
% 12.29/12.55 cnf(matrix-8360, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20865, _u20867) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20867), _u20865)) )).
% 12.29/12.55 cnf(matrix-8361, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20870, _u20872)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20870), _u20872)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20872), _u20870)) )).
% 12.29/12.55 cnf(matrix-8362, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20871, _u20873)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20871), _u20873)) )).
% 12.29/12.55 cnf(matrix-8363, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20871, _u20873)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20873), _u20871)) )).
% 12.29/12.55 cnf(matrix-8364, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 12.29/12.55 cnf(matrix-8365, plain, ( ~class_Lattices_Obounded__lattice(_u20874) | class_Lattices_Obounded__lattice(tc_fun(_u20875, _u20874)) )).
% 12.29/12.55 cnf(matrix-8366, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20876) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20877, _u20876)) )).
% 12.29/12.55 cnf(matrix-8367, plain, ( ~class_Lattices_Obounded__lattice(_u20878) | class_Lattices_Obounded__lattice__top(tc_fun(_u20879, _u20878)) )).
% 12.29/12.55 cnf(matrix-8368, plain, ( ~class_Lattices_Obounded__lattice(_u20880) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20881, _u20880)) )).
% 12.29/12.55 cnf(matrix-8369, plain, ( ~class_Lattices_Olattice(_u20882) | class_Lattices_Osemilattice__sup(tc_fun(_u20883, _u20882)) )).
% 12.29/12.55 cnf(matrix-8370, plain, ( ~class_Lattices_Olattice(_u20884) | class_Lattices_Osemilattice__inf(tc_fun(_u20885, _u20884)) )).
% 12.29/12.55 cnf(matrix-8371, plain, ( ~class_Lattices_Odistrib__lattice(_u20886) | class_Lattices_Odistrib__lattice(tc_fun(_u20887, _u20886)) )).
% 12.29/12.55 cnf(matrix-8372, plain, ( ~class_Lattices_Oboolean__algebra(_u20888) | class_Lattices_Oboolean__algebra(tc_fun(_u20889, _u20888)) )).
% 12.29/12.55 cnf(matrix-8373, plain, ( ~class_Orderings_Opreorder(_u20890) | class_Orderings_Opreorder(tc_fun(_u20891, _u20890)) )).
% 12.29/12.55 cnf(matrix-8374, plain, ( ~class_Finite__Set_Ofinite(_u20892) | ~class_Finite__Set_Ofinite(_u20893) | class_Finite__Set_Ofinite(tc_fun(_u20892, _u20893)) )).
% 12.29/12.55 cnf(matrix-8375, plain, ( ~class_Lattices_Olattice(_u20894) | class_Lattices_Olattice(tc_fun(_u20895, _u20894)) )).
% 12.29/12.55 cnf(matrix-8376, plain, ( ~class_Orderings_Oorder(_u20896) | class_Orderings_Oorder(tc_fun(_u20897, _u20896)) )).
% 12.29/12.55 cnf(matrix-8377, plain, ( ~class_Orderings_Otop(_u20898) | class_Orderings_Otop(tc_fun(_u20899, _u20898)) )).
% 12.29/12.55 cnf(matrix-8378, plain, ( ~class_Orderings_Oord(_u20900) | class_Orderings_Oord(tc_fun(_u20901, _u20900)) )).
% 12.29/12.55 cnf(matrix-8379, plain, ( ~class_Orderings_Obot(_u20902) | class_Orderings_Obot(tc_fun(_u20903, _u20902)) )).
% 12.29/12.55 cnf(matrix-8380, plain, ( ~class_Groups_Ouminus(_u20904) | class_Groups_Ouminus(tc_fun(_u20905, _u20904)) )).
% 12.29/12.55 cnf(matrix-8381, plain, ( ~class_Groups_Ominus(_u20906) | class_Groups_Ominus(tc_fun(_u20907, _u20906)) )).
% 12.29/12.55 cnf(matrix-8382, plain, ( ~class_Enum_Oenum(_u20908) | ~class_Enum_Oenum(_u20909) | class_Enum_Oenum(tc_fun(_u20908, _u20909)) )).
% 12.29/12.55 cnf(matrix-8383, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8384, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8385, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8386, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8387, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8388, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8389, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8390, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8391, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8392, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8393, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8394, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8395, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8396, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8397, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8398, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8399, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8400, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8401, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8402, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8403, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8404, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8405, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8406, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8407, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8408, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8409, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8410, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8411, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8412, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8413, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8414, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8415, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8416, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8417, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8418, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8419, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8420, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8421, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8422, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8423, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8424, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8425, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8426, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8427, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8428, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8429, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8430, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8431, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8432, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8433, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8434, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8435, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.29/12.55 cnf(matrix-8436, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8437, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8438, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8439, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8440, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8441, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8442, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8443, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8444, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8445, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8446, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8447, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8448, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8449, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8450, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8451, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8452, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8453, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8454, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.29/12.56 cnf(matrix-8455, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8456, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8457, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8458, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8459, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8460, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8461, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8462, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8463, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8464, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8465, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8466, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8467, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8468, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8469, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8470, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8471, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8472, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8473, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8474, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8475, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8476, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8477, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8478, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8479, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8480, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8481, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8482, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8483, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8484, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8485, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8486, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8487, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8488, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8489, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8490, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8491, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8492, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8493, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8494, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8495, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8496, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8497, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8498, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8499, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8500, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8501, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8502, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8503, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 12.29/12.56 cnf(matrix-8504, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8505, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8506, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8507, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8508, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8509, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8510, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8511, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8512, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8513, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8514, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8515, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8516, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8517, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8518, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8519, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8520, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8521, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 12.29/12.56 cnf(matrix-8522, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20910) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20910)) )).
% 12.29/12.56 cnf(matrix-8523, plain, ( class_Nat_Osize(tc_List_Olist(_u20911)) )).
% 12.29/12.56 cnf(matrix-8524, plain, ( ~class_Finite__Set_Ofinite(_u20912) | ~class_Finite__Set_Ofinite(_u20913) | class_Finite__Set_Ofinite(tc_sum(_u20912, _u20913)) )).
% 12.29/12.56 cnf(matrix-8525, plain, ( ~class_Enum_Oenum(_u20914) | ~class_Enum_Oenum(_u20915) | class_Enum_Oenum(tc_sum(_u20914, _u20915)) )).
% 12.29/12.56 cnf(matrix-8526, plain, ( class_Nat_Osize(tc_sum(_u20916, _u20917)) )).
% 12.29/12.56 cnf(matrix-8527, plain, ( ~class_Finite__Set_Ofinite(_u20918) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20918)) )).
% 12.29/12.56 cnf(matrix-8528, plain, ( ~class_Enum_Oenum(_u20919) | class_Enum_Oenum(tc_Option_Ooption(_u20919)) )).
% 12.29/12.56 cnf(matrix-8529, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20920)) )).
% 12.29/12.56 cnf(matrix-8530, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20921, _u20922)) )).
% 12.29/12.56 cnf(matrix-8531, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20923) | ~class_Lazy__Sequence_Osmall__lazy(_u20924) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20923, _u20924)) )).
% 12.29/12.56 cnf(matrix-8532, plain, ( ~class_Finite__Set_Ofinite(_u20925) | ~class_Finite__Set_Ofinite(_u20926) | class_Finite__Set_Ofinite(tc_prod(_u20925, _u20926)) )).
% 12.29/12.56 cnf(matrix-8533, plain, ( ~class_Enum_Oenum(_u20927) | ~class_Enum_Oenum(_u20928) | class_Enum_Oenum(tc_prod(_u20927, _u20928)) )).
% 12.29/12.56 cnf(matrix-8534, plain, ( class_Nat_Osize(tc_prod(_u20929, _u20930)) )).
% 12.29/12.56 cnf(matrix-8535, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 12.29/12.56 cnf(matrix-8536, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 12.29/12.56 cnf(matrix-8537, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 12.29/12.56 cnf(matrix-8538, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 12.29/12.56 cnf(matrix-8539, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 12.29/12.56 cnf(matrix-8540, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20931)) )).
% 12.29/12.56 cnf(matrix-8541, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8542, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8543, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8544, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8545, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8546, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8547, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8548, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8549, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8550, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8551, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8552, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8553, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8554, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8555, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8556, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8557, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8558, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8559, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8560, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8561, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8562, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8563, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8564, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8565, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8566, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8567, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8568, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8569, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8570, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8571, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8572, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8573, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8574, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8575, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8576, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8577, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8578, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8579, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8580, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8581, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8582, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 12.29/12.56 cnf(matrix-8583, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20932)) )).
% 12.29/12.56 cnf(matrix-8584, plain, ( ( hAPP(c_COMBI(_u20933), _u20934) = _u20934) )).
% 12.29/12.56 cnf(matrix-8585, plain, ( ( hAPP(hAPP(c_COMBK(_u20935, _u20936), _u20937), _u20938) = _u20937) )).
% 12.29/12.56 cnf(matrix-8586, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20939, _u20940, _u20941), _u20942), _u20943), _u20944) = hAPP(_u20942, hAPP(_u20943, _u20944))) )).
% 12.29/12.56 cnf(matrix-8587, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20945, _u20946, _u20947), _u20948), _u20949), _u20950) = hAPP(hAPP(_u20948, _u20950), _u20949)) )).
% 12.29/12.56 cnf(matrix-8588, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20951, _u20952, _u20953), _u20954), _u20955), _u20956) = hAPP(hAPP(_u20954, _u20956), hAPP(_u20955, _u20956))) )).
% 12.29/12.56 cnf(matrix-8589, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20957), _u20958)) | ( _u20957 = _u20958) )).
% 12.29/12.56 cnf(matrix-8590, plain, ( ( _u20959 != _u20960) | hBOOL(hAPP(hAPP(c_fequal, _u20959), _u20960)) )).
% 12.29/12.56 cnf(matrix-8591, plain, ( ~hBOOL(c_fFalse) )).
% 12.29/12.56 cnf(matrix-8592, plain, ( hBOOL(c_fTrue) )).
% 12.29/12.56 cnf(matrix-8593, plain, ( ~hBOOL(hAPP(c_fNot, _u20961)) | ~hBOOL(_u20961) )).
% 12.29/12.56 cnf(matrix-8594, plain, ( hBOOL(_u20962) | hBOOL(hAPP(c_fNot, _u20962)) )).
% 12.29/12.56 cnf(matrix-8595, plain, ( ~hBOOL(_u20964) | ~hBOOL(_u20963) | hBOOL(hAPP(hAPP(c_fconj, _u20963), _u20964)) )).
% 12.29/12.56 cnf(matrix-8596, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20965), _u20966)) | hBOOL(_u20965) )).
% 12.29/12.56 cnf(matrix-8597, plain, ( hBOOL(_u20968) | ~hBOOL(hAPP(hAPP(c_fconj, _u20967), _u20968)) )).
% 12.29/12.56 cnf(matrix-8598, plain, ( ~hBOOL(_u20969) | hBOOL(hAPP(hAPP(c_fdisj, _u20969), _u20970)) )).
% 12.29/12.56 cnf(matrix-8599, plain, ( ~hBOOL(_u20971) | hBOOL(hAPP(hAPP(c_fdisj, _u20972), _u20971)) )).
% 12.29/12.56 cnf(matrix-8600, plain, ( hBOOL(_u20974) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20973), _u20974)) | hBOOL(_u20973) )).
% 12.29/12.56 cnf(matrix-8601, plain, ( hBOOL(_u20975) | hBOOL(hAPP(hAPP(c_fimplies, _u20975), _u20976)) )).
% 12.29/12.56 cnf(matrix-8602, plain, ( ~hBOOL(_u20977) | hBOOL(hAPP(hAPP(c_fimplies, _u20978), _u20977)) )).
% 12.29/12.56 cnf(matrix-8603, plain, ( hBOOL(_u20980) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20979), _u20980)) | ~hBOOL(_u20979) )).
% 12.29/12.56 cnf(matrix-8604, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_G, v_ts_H) )).
% 12.29/12.56 cnf(matrix-8605, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_ts), v_ts_H)) )).
% 12.29/12.56 cnf(matrix-8606, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), v_Ga)) )).
% 12.29/12.56 cnf(matrix-8607, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_ts_H) )).
% 12.29/12.56 cnf(matrix-8608, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, v_ts) )).
% 12.29/12.56
% 12.29/12.56 % Proof stack:
% 12.29/12.56 cnf(proof-stack, plain,
% 12.29/12.56 proof_stack(
% 12.29/12.56 start(8608),
% 12.29/12.56 left_branch(0, 1092, 2, 2),
% 12.29/12.56 left_branch(0, 8607, 0, 3),
% 12.29/12.56 right_branch(3),
% 12.29/12.56 left_branch(0, 8605, 0, 4),
% 12.29/12.56 right_branch(4),
% 12.29/12.56 right_branch(2)
% 12.29/12.56 )).
% 12.29/12.56 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------